From 0419b28621b7d5ed9ff6a694b41dad98b9007467 Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Tue, 23 Jul 2024 12:32:04 +0000 Subject: [PATCH] build based on ebc884b --- previews/PR389/.documenter-siteinfo.json | 1 + previews/PR389/assets/documenter.js | 1059 +++++++++++++++++ .../PR389/assets/flamegraph-OptimizeMe.png | Bin 0 -> 13047 bytes .../assets/flamegraph-OptimizeMeFixed.png | Bin 0 -> 8989 bytes .../PR389/assets/flamegraph-flatten-demo.png | Bin 0 -> 12351 bytes previews/PR389/assets/pgds_compareplots.png | Bin 0 -> 71031 bytes previews/PR389/assets/pgds_nospec.png | Bin 0 -> 37099 bytes previews/PR389/assets/pgds_spec.png | Bin 0 -> 33837 bytes .../PR389/assets/themes/catppuccin-frappe.css | 1 + .../PR389/assets/themes/catppuccin-latte.css | 1 + .../assets/themes/catppuccin-macchiato.css | 1 + .../PR389/assets/themes/catppuccin-mocha.css | 1 + .../PR389/assets/themes/documenter-dark.css | 7 + .../PR389/assets/themes/documenter-light.css | 9 + previews/PR389/assets/themeswap.js | 84 ++ previews/PR389/assets/warner.js | 52 + previews/PR389/explanations/basic/index.html | 2 + .../explanations/fixing_inference/index.html | 53 + .../PR389/explanations/gotchas/index.html | 5 + previews/PR389/explanations/tools/index.html | 2 + previews/PR389/index.html | 2 + previews/PR389/objects.inv | Bin 0 -> 2797 bytes previews/PR389/reference/index.html | 213 ++++ previews/PR389/search_index.js | 3 + previews/PR389/siteinfo.js | 1 + previews/PR389/snoop_invalidations/index.html | 175 +++ previews/PR389/snoopi/index.html | 107 ++ previews/PR389/tutorial/index.html | 128 ++ .../PR389/tutorials/Blackjack/Manifest.toml | 33 + .../PR389/tutorials/Blackjack/Project.toml | 7 + .../tutorials/Blackjack/src/Blackjack.jl | 39 + .../BlackjackFacecards/Manifest.toml | 819 +++++++++++++ .../tutorials/BlackjackFacecards/Project.toml | 11 + .../src/BlackjackFacecards.jl | 9 + previews/PR389/tutorials/func_names.csv | 45 + .../PR389/tutorials/invalidations/index.html | 97 ++ previews/PR389/tutorials/jet/index.html | 82 ++ previews/PR389/tutorials/llvm_timings.yaml | 485 ++++++++ previews/PR389/tutorials/pgdsgui/index.html | 85 ++ .../tutorials/snoop_inference/index.html | 407 +++++++ .../snoop_inference_analysis/index.html | 309 +++++ .../snoop_inference_parcel/index.html | 50 + .../PR389/tutorials/snoop_llvm/index.html | 10 + 43 files changed, 4395 insertions(+) create mode 100644 previews/PR389/.documenter-siteinfo.json create mode 100644 previews/PR389/assets/documenter.js create mode 100644 previews/PR389/assets/flamegraph-OptimizeMe.png create mode 100644 previews/PR389/assets/flamegraph-OptimizeMeFixed.png create mode 100644 previews/PR389/assets/flamegraph-flatten-demo.png create mode 100644 previews/PR389/assets/pgds_compareplots.png create mode 100644 previews/PR389/assets/pgds_nospec.png create mode 100644 previews/PR389/assets/pgds_spec.png create mode 100644 previews/PR389/assets/themes/catppuccin-frappe.css create mode 100644 previews/PR389/assets/themes/catppuccin-latte.css create mode 100644 previews/PR389/assets/themes/catppuccin-macchiato.css create mode 100644 previews/PR389/assets/themes/catppuccin-mocha.css create mode 100644 previews/PR389/assets/themes/documenter-dark.css create mode 100644 previews/PR389/assets/themes/documenter-light.css create mode 100644 previews/PR389/assets/themeswap.js create mode 100644 previews/PR389/assets/warner.js create mode 100644 previews/PR389/explanations/basic/index.html create mode 100644 previews/PR389/explanations/fixing_inference/index.html create mode 100644 previews/PR389/explanations/gotchas/index.html create mode 100644 previews/PR389/explanations/tools/index.html create mode 100644 previews/PR389/index.html create mode 100644 previews/PR389/objects.inv create mode 100644 previews/PR389/reference/index.html create mode 100644 previews/PR389/search_index.js create mode 100644 previews/PR389/siteinfo.js create mode 100644 previews/PR389/snoop_invalidations/index.html create mode 100644 previews/PR389/snoopi/index.html create mode 100644 previews/PR389/tutorial/index.html create mode 100644 previews/PR389/tutorials/Blackjack/Manifest.toml create mode 100644 previews/PR389/tutorials/Blackjack/Project.toml create mode 100644 previews/PR389/tutorials/Blackjack/src/Blackjack.jl create mode 100644 previews/PR389/tutorials/BlackjackFacecards/Manifest.toml create mode 100644 previews/PR389/tutorials/BlackjackFacecards/Project.toml create mode 100644 previews/PR389/tutorials/BlackjackFacecards/src/BlackjackFacecards.jl create mode 100644 previews/PR389/tutorials/func_names.csv create mode 100644 previews/PR389/tutorials/invalidations/index.html create mode 100644 previews/PR389/tutorials/jet/index.html create mode 100644 previews/PR389/tutorials/llvm_timings.yaml create mode 100644 previews/PR389/tutorials/pgdsgui/index.html create mode 100644 previews/PR389/tutorials/snoop_inference/index.html create mode 100644 previews/PR389/tutorials/snoop_inference_analysis/index.html create mode 100644 previews/PR389/tutorials/snoop_inference_parcel/index.html create mode 100644 previews/PR389/tutorials/snoop_llvm/index.html diff --git a/previews/PR389/.documenter-siteinfo.json b/previews/PR389/.documenter-siteinfo.json new file mode 100644 index 000000000..90fb69b3d --- /dev/null +++ b/previews/PR389/.documenter-siteinfo.json @@ -0,0 +1 @@ +{"documenter":{"julia_version":"1.10.4","generation_timestamp":"2024-07-23T12:31:59","documenter_version":"1.5.0"}} \ No newline at end of file diff --git a/previews/PR389/assets/documenter.js b/previews/PR389/assets/documenter.js new file mode 100644 index 000000000..b2bdd43ee --- /dev/null +++ b/previews/PR389/assets/documenter.js @@ -0,0 +1,1059 @@ +// Generated by Documenter.jl +requirejs.config({ + paths: { + 'highlight-julia': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/languages/julia.min', + 'headroom': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/headroom.min', + 'jqueryui': 'https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.13.2/jquery-ui.min', + 'katex-auto-render': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/contrib/auto-render.min', + 'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.7.0/jquery.min', + 'headroom-jquery': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/jQuery.headroom.min', + 'katex': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/katex.min', + 'highlight': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/highlight.min', + 'highlight-julia-repl': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/languages/julia-repl.min', + }, + shim: { + "highlight-julia": { + "deps": [ + "highlight" + ] + }, + "katex-auto-render": { + "deps": [ + "katex" + ] + }, + "headroom-jquery": { + "deps": [ + "jquery", + "headroom" + ] + }, + "highlight-julia-repl": { + "deps": [ + "highlight" + ] + } +} +}); +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'katex', 'katex-auto-render'], function($, katex, renderMathInElement) { +$(document).ready(function() { + renderMathInElement( + document.body, + { + "delimiters": [ + { + "left": "$", + "right": "$", + "display": false + }, + { + "left": "$$", + "right": "$$", + "display": true + }, + { + "left": "\\[", + "right": "\\]", + "display": true + } + ] +} + + ); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'highlight', 'highlight-julia', 'highlight-julia-repl'], function($) { +$(document).ready(function() { + hljs.highlightAll(); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +let timer = 0; +var isExpanded = true; + +$(document).on("click", ".docstring header", function () { + let articleToggleTitle = "Expand docstring"; + + debounce(() => { + if ($(this).siblings("section").is(":visible")) { + $(this) + .find(".docstring-article-toggle-button") + .removeClass("fa-chevron-down") + .addClass("fa-chevron-right"); + } else { + $(this) + .find(".docstring-article-toggle-button") + .removeClass("fa-chevron-right") + .addClass("fa-chevron-down"); + + articleToggleTitle = "Collapse docstring"; + } + + $(this) + .find(".docstring-article-toggle-button") + .prop("title", articleToggleTitle); + $(this).siblings("section").slideToggle(); + }); +}); + +$(document).on("click", ".docs-article-toggle-button", function (event) { + let articleToggleTitle = "Expand docstring"; + let navArticleToggleTitle = "Expand all docstrings"; + let animationSpeed = event.noToggleAnimation ? 0 : 400; + + debounce(() => { + if (isExpanded) { + $(this).removeClass("fa-chevron-up").addClass("fa-chevron-down"); + $(".docstring-article-toggle-button") + .removeClass("fa-chevron-down") + .addClass("fa-chevron-right"); + + isExpanded = false; + + $(".docstring section").slideUp(animationSpeed); + } else { + $(this).removeClass("fa-chevron-down").addClass("fa-chevron-up"); + $(".docstring-article-toggle-button") + .removeClass("fa-chevron-right") + .addClass("fa-chevron-down"); + + isExpanded = true; + articleToggleTitle = "Collapse docstring"; + navArticleToggleTitle = "Collapse all docstrings"; + + $(".docstring section").slideDown(animationSpeed); + } + + $(this).prop("title", navArticleToggleTitle); + $(".docstring-article-toggle-button").prop("title", articleToggleTitle); + }); +}); + +function debounce(callback, timeout = 300) { + if (Date.now() - timer > timeout) { + callback(); + } + + clearTimeout(timer); + + timer = Date.now(); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require([], function() { +function addCopyButtonCallbacks() { + for (const el of document.getElementsByTagName("pre")) { + const button = document.createElement("button"); + button.classList.add("copy-button", "fa-solid", "fa-copy"); + button.setAttribute("aria-label", "Copy this code block"); + button.setAttribute("title", "Copy"); + + el.appendChild(button); + + const success = function () { + button.classList.add("success", "fa-check"); + button.classList.remove("fa-copy"); + }; + + const failure = function () { + button.classList.add("error", "fa-xmark"); + button.classList.remove("fa-copy"); + }; + + button.addEventListener("click", function () { + copyToClipboard(el.innerText).then(success, failure); + + setTimeout(function () { + button.classList.add("fa-copy"); + button.classList.remove("success", "fa-check", "fa-xmark"); + }, 5000); + }); + } +} + +function copyToClipboard(text) { + // clipboard API is only available in secure contexts + if (window.navigator && window.navigator.clipboard) { + return window.navigator.clipboard.writeText(text); + } else { + return new Promise(function (resolve, reject) { + try { + const el = document.createElement("textarea"); + el.textContent = text; + el.style.position = "fixed"; + el.style.opacity = 0; + document.body.appendChild(el); + el.select(); + document.execCommand("copy"); + + resolve(); + } catch (err) { + reject(err); + } finally { + document.body.removeChild(el); + } + }); + } +} + +if (document.readyState === "loading") { + document.addEventListener("DOMContentLoaded", addCopyButtonCallbacks); +} else { + addCopyButtonCallbacks(); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'headroom', 'headroom-jquery'], function($, Headroom) { + +// Manages the top navigation bar (hides it when the user starts scrolling down on the +// mobile). +window.Headroom = Headroom; // work around buggy module loading? +$(document).ready(function () { + $("#documenter .docs-navbar").headroom({ + tolerance: { up: 10, down: 10 }, + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +$(document).ready(function () { + let meta = $("div[data-docstringscollapsed]").data(); + + if (meta?.docstringscollapsed) { + $("#documenter-article-toggle-button").trigger({ + type: "click", + noToggleAnimation: true, + }); + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +/* +To get an in-depth about the thought process you can refer: https://hetarth02.hashnode.dev/series/gsoc + +PSEUDOCODE: + +Searching happens automatically as the user types or adjusts the selected filters. +To preserve responsiveness, as much as possible of the slow parts of the search are done +in a web worker. Searching and result generation are done in the worker, and filtering and +DOM updates are done in the main thread. The filters are in the main thread as they should +be very quick to apply. This lets filters be changed without re-searching with minisearch +(which is possible even if filtering is on the worker thread) and also lets filters be +changed _while_ the worker is searching and without message passing (neither of which are +possible if filtering is on the worker thread) + +SEARCH WORKER: + +Import minisearch + +Build index + +On message from main thread + run search + find the first 200 unique results from each category, and compute their divs for display + note that this is necessary and sufficient information for the main thread to find the + first 200 unique results from any given filter set + post results to main thread + +MAIN: + +Launch worker + +Declare nonconstant globals (worker_is_running, last_search_text, unfiltered_results) + +On text update + if worker is not running, launch_search() + +launch_search + set worker_is_running to true, set last_search_text to the search text + post the search query to worker + +on message from worker + if last_search_text is not the same as the text in the search field, + the latest search result is not reflective of the latest search query, so update again + launch_search() + otherwise + set worker_is_running to false + + regardless, display the new search results to the user + save the unfiltered_results as a global + update_search() + +on filter click + adjust the filter selection + update_search() + +update_search + apply search filters by looping through the unfiltered_results and finding the first 200 + unique results that match the filters + + Update the DOM +*/ + +/////// SEARCH WORKER /////// + +function worker_function(documenterSearchIndex, documenterBaseURL, filters) { + importScripts( + "https://cdn.jsdelivr.net/npm/minisearch@6.1.0/dist/umd/index.min.js" + ); + + let data = documenterSearchIndex.map((x, key) => { + x["id"] = key; // minisearch requires a unique for each object + return x; + }); + + // list below is the lunr 2.1.3 list minus the intersect with names(Base) + // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with) + // ideally we'd just filter the original list but it's not available as a variable + const stopWords = new Set([ + "a", + "able", + "about", + "across", + "after", + "almost", + "also", + "am", + "among", + "an", + "and", + "are", + "as", + "at", + "be", + "because", + "been", + "but", + "by", + "can", + "cannot", + "could", + "dear", + "did", + "does", + "either", + "ever", + "every", + "from", + "got", + "had", + "has", + "have", + "he", + "her", + "hers", + "him", + "his", + "how", + "however", + "i", + "if", + "into", + "it", + "its", + "just", + "least", + "like", + "likely", + "may", + "me", + "might", + "most", + "must", + "my", + "neither", + "no", + "nor", + "not", + "of", + "off", + "often", + "on", + "or", + "other", + "our", + "own", + "rather", + "said", + "say", + "says", + "she", + "should", + "since", + "so", + "some", + "than", + "that", + "the", + "their", + "them", + "then", + "there", + "these", + "they", + "this", + "tis", + "to", + "too", + "twas", + "us", + "wants", + "was", + "we", + "were", + "what", + "when", + "who", + "whom", + "why", + "will", + "would", + "yet", + "you", + "your", + ]); + + let index = new MiniSearch({ + fields: ["title", "text"], // fields to index for full-text search + storeFields: ["location", "title", "text", "category", "page"], // fields to return with results + processTerm: (term) => { + let word = stopWords.has(term) ? null : term; + if (word) { + // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names + word = word + .replace(/^[^a-zA-Z0-9@!]+/, "") + .replace(/[^a-zA-Z0-9@!]+$/, ""); + + word = word.toLowerCase(); + } + + return word ?? null; + }, + // add . as a separator, because otherwise "title": "Documenter.Anchors.add!", would not + // find anything if searching for "add!", only for the entire qualification + tokenize: (string) => string.split(/[\s\-\.]+/), + // options which will be applied during the search + searchOptions: { + prefix: true, + boost: { title: 100 }, + fuzzy: 2, + }, + }); + + index.addAll(data); + + /** + * Used to map characters to HTML entities. + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + const htmlEscapes = { + "&": "&", + "<": "<", + ">": ">", + '"': """, + "'": "'", + }; + + /** + * Used to match HTML entities and HTML characters. + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + const reUnescapedHtml = /[&<>"']/g; + const reHasUnescapedHtml = RegExp(reUnescapedHtml.source); + + /** + * Escape function from lodash + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + function escape(string) { + return string && reHasUnescapedHtml.test(string) + ? string.replace(reUnescapedHtml, (chr) => htmlEscapes[chr]) + : string || ""; + } + + /** + * RegX escape function from MDN + * Refer: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Regular_Expressions#escaping + */ + function escapeRegExp(string) { + return string.replace(/[.*+?^${}()|[\]\\]/g, "\\$&"); // $& means the whole matched string + } + + /** + * Make the result component given a minisearch result data object and the value + * of the search input as queryString. To view the result object structure, refer: + * https://lucaong.github.io/minisearch/modules/_minisearch_.html#searchresult + * + * @param {object} result + * @param {string} querystring + * @returns string + */ + function make_search_result(result, querystring) { + let search_divider = `
`; + let display_link = + result.location.slice(Math.max(0), Math.min(50, result.location.length)) + + (result.location.length > 30 ? "..." : ""); // To cut-off the link because it messes with the overflow of the whole div + + if (result.page !== "") { + display_link += ` (${result.page})`; + } + searchstring = escapeRegExp(querystring); + let textindex = new RegExp(`${searchstring}`, "i").exec(result.text); + let text = + textindex !== null + ? result.text.slice( + Math.max(textindex.index - 100, 0), + Math.min( + textindex.index + querystring.length + 100, + result.text.length + ) + ) + : ""; // cut-off text before and after from the match + + text = text.length ? escape(text) : ""; + + let display_result = text.length + ? "..." + + text.replace( + new RegExp(`${escape(searchstring)}`, "i"), // For first occurrence + '$&' + ) + + "..." + : ""; // highlights the match + + let in_code = false; + if (!["page", "section"].includes(result.category.toLowerCase())) { + in_code = true; + } + + // We encode the full url to escape some special characters which can lead to broken links + let result_div = ` + +
+
${escape(result.title)}
+
${result.category}
+
+

+ ${display_result} +

+
+ ${display_link} +
+ + ${search_divider} + `; + + return result_div; + } + + self.onmessage = function (e) { + let query = e.data; + let results = index.search(query, { + filter: (result) => { + // Only return relevant results + return result.score >= 1; + }, + combineWith: "AND", + }); + + // Pre-filter to deduplicate and limit to 200 per category to the extent + // possible without knowing what the filters are. + let filtered_results = []; + let counts = {}; + for (let filter of filters) { + counts[filter] = 0; + } + let present = {}; + + for (let result of results) { + cat = result.category; + cnt = counts[cat]; + if (cnt < 200) { + id = cat + "---" + result.location; + if (present[id]) { + continue; + } + present[id] = true; + filtered_results.push({ + location: result.location, + category: cat, + div: make_search_result(result, query), + }); + } + } + + postMessage(filtered_results); + }; +} + +// `worker = Threads.@spawn worker_function(documenterSearchIndex)`, but in JavaScript! +const filters = [ + ...new Set(documenterSearchIndex["docs"].map((x) => x.category)), +]; +const worker_str = + "(" + + worker_function.toString() + + ")(" + + JSON.stringify(documenterSearchIndex["docs"]) + + "," + + JSON.stringify(documenterBaseURL) + + "," + + JSON.stringify(filters) + + ")"; +const worker_blob = new Blob([worker_str], { type: "text/javascript" }); +const worker = new Worker(URL.createObjectURL(worker_blob)); + +/////// SEARCH MAIN /////// + +// Whether the worker is currently handling a search. This is a boolean +// as the worker only ever handles 1 or 0 searches at a time. +var worker_is_running = false; + +// The last search text that was sent to the worker. This is used to determine +// if the worker should be launched again when it reports back results. +var last_search_text = ""; + +// The results of the last search. This, in combination with the state of the filters +// in the DOM, is used compute the results to display on calls to update_search. +var unfiltered_results = []; + +// Which filter is currently selected +var selected_filter = ""; + +$(document).on("input", ".documenter-search-input", function (event) { + if (!worker_is_running) { + launch_search(); + } +}); + +function launch_search() { + worker_is_running = true; + last_search_text = $(".documenter-search-input").val(); + worker.postMessage(last_search_text); +} + +worker.onmessage = function (e) { + if (last_search_text !== $(".documenter-search-input").val()) { + launch_search(); + } else { + worker_is_running = false; + } + + unfiltered_results = e.data; + update_search(); +}; + +$(document).on("click", ".search-filter", function () { + if ($(this).hasClass("search-filter-selected")) { + selected_filter = ""; + } else { + selected_filter = $(this).text().toLowerCase(); + } + + // This updates search results and toggles classes for UI: + update_search(); +}); + +/** + * Make/Update the search component + */ +function update_search() { + let querystring = $(".documenter-search-input").val(); + + if (querystring.trim()) { + if (selected_filter == "") { + results = unfiltered_results; + } else { + results = unfiltered_results.filter((result) => { + return selected_filter == result.category.toLowerCase(); + }); + } + + let search_result_container = ``; + let modal_filters = make_modal_body_filters(); + let search_divider = `
`; + + if (results.length) { + let links = []; + let count = 0; + let search_results = ""; + + for (var i = 0, n = results.length; i < n && count < 200; ++i) { + let result = results[i]; + if (result.location && !links.includes(result.location)) { + search_results += result.div; + count++; + links.push(result.location); + } + } + + if (count == 1) { + count_str = "1 result"; + } else if (count == 200) { + count_str = "200+ results"; + } else { + count_str = count + " results"; + } + let result_count = `
${count_str}
`; + + search_result_container = ` +
+ ${modal_filters} + ${search_divider} + ${result_count} +
+ ${search_results} +
+
+ `; + } else { + search_result_container = ` +
+ ${modal_filters} + ${search_divider} +
0 result(s)
+
+
No result found!
+ `; + } + + if ($(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").removeClass("is-justify-content-center"); + } + + $(".search-modal-card-body").html(search_result_container); + } else { + if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").addClass("is-justify-content-center"); + } + + $(".search-modal-card-body").html(` +
Type something to get started!
+ `); + } +} + +/** + * Make the modal filter html + * + * @returns string + */ +function make_modal_body_filters() { + let str = filters + .map((val) => { + if (selected_filter == val.toLowerCase()) { + return `${val}`; + } else { + return `${val}`; + } + }) + .join(""); + + return ` +
+ Filters: + ${str} +
`; +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Modal settings dialog +$(document).ready(function () { + var settings = $("#documenter-settings"); + $("#documenter-settings-button").click(function () { + settings.toggleClass("is-active"); + }); + // Close the dialog if X is clicked + $("#documenter-settings button.delete").click(function () { + settings.removeClass("is-active"); + }); + // Close dialog if ESC is pressed + $(document).keyup(function (e) { + if (e.keyCode == 27) settings.removeClass("is-active"); + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +$(document).ready(function () { + let search_modal_header = ` +
+
+

+ + + + +

+
+
+ +
+
+ `; + + let initial_search_body = ` +
Type something to get started!
+ `; + + let search_modal_footer = ` + + `; + + $(document.body).append( + ` + + ` + ); + + document.querySelector(".docs-search-query").addEventListener("click", () => { + openModal(); + }); + + document + .querySelector(".close-search-modal") + .addEventListener("click", () => { + closeModal(); + }); + + $(document).on("click", ".search-result-link", function () { + closeModal(); + }); + + document.addEventListener("keydown", (event) => { + if ((event.ctrlKey || event.metaKey) && event.key === "/") { + openModal(); + } else if (event.key === "Escape") { + closeModal(); + } + + return false; + }); + + // Functions to open and close a modal + function openModal() { + let searchModal = document.querySelector("#search-modal"); + + searchModal.classList.add("is-active"); + document.querySelector(".documenter-search-input").focus(); + } + + function closeModal() { + let searchModal = document.querySelector("#search-modal"); + let initial_search_body = ` +
Type something to get started!
+ `; + + searchModal.classList.remove("is-active"); + document.querySelector(".documenter-search-input").blur(); + + if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").addClass("is-justify-content-center"); + } + + $(".documenter-search-input").val(""); + $(".search-modal-card-body").html(initial_search_body); + } + + document + .querySelector("#search-modal .modal-background") + .addEventListener("click", () => { + closeModal(); + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Manages the showing and hiding of the sidebar. +$(document).ready(function () { + var sidebar = $("#documenter > .docs-sidebar"); + var sidebar_button = $("#documenter-sidebar-button"); + sidebar_button.click(function (ev) { + ev.preventDefault(); + sidebar.toggleClass("visible"); + if (sidebar.hasClass("visible")) { + // Makes sure that the current menu item is visible in the sidebar. + $("#documenter .docs-menu a.is-active").focus(); + } + }); + $("#documenter > .docs-main").bind("click", function (ev) { + if ($(ev.target).is(sidebar_button)) { + return; + } + if (sidebar.hasClass("visible")) { + sidebar.removeClass("visible"); + } + }); +}); + +// Resizes the package name / sitename in the sidebar if it is too wide. +// Inspired by: https://github.com/davatron5000/FitText.js +$(document).ready(function () { + e = $("#documenter .docs-autofit"); + function resize() { + var L = parseInt(e.css("max-width"), 10); + var L0 = e.width(); + if (L0 > L) { + var h0 = parseInt(e.css("font-size"), 10); + e.css("font-size", (L * h0) / L0); + // TODO: make sure it survives resizes? + } + } + // call once and then register events + resize(); + $(window).resize(resize); + $(window).on("orientationchange", resize); +}); + +// Scroll the navigation bar to the currently selected menu item +$(document).ready(function () { + var sidebar = $("#documenter .docs-menu").get(0); + var active = $("#documenter .docs-menu .is-active").get(0); + if (typeof active !== "undefined") { + sidebar.scrollTop = active.offsetTop - sidebar.offsetTop - 15; + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Theme picker setup +$(document).ready(function () { + // onchange callback + $("#documenter-themepicker").change(function themepick_callback(ev) { + var themename = $("#documenter-themepicker option:selected").attr("value"); + if (themename === "auto") { + // set_theme(window.matchMedia('(prefers-color-scheme: dark)').matches ? 'dark' : 'light'); + window.localStorage.removeItem("documenter-theme"); + } else { + // set_theme(themename); + window.localStorage.setItem("documenter-theme", themename); + } + // We re-use the global function from themeswap.js to actually do the swapping. + set_theme_from_local_storage(); + }); + + // Make sure that the themepicker displays the correct theme when the theme is retrieved + // from localStorage + if (typeof window.localStorage !== "undefined") { + var theme = window.localStorage.getItem("documenter-theme"); + if (theme !== null) { + $("#documenter-themepicker option").each(function (i, e) { + e.selected = e.value === theme; + }); + } + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// update the version selector with info from the siteinfo.js and ../versions.js files +$(document).ready(function () { + // If the version selector is disabled with DOCUMENTER_VERSION_SELECTOR_DISABLED in the + // siteinfo.js file, we just return immediately and not display the version selector. + if ( + typeof DOCUMENTER_VERSION_SELECTOR_DISABLED === "boolean" && + DOCUMENTER_VERSION_SELECTOR_DISABLED + ) { + return; + } + + var version_selector = $("#documenter .docs-version-selector"); + var version_selector_select = $("#documenter .docs-version-selector select"); + + version_selector_select.change(function (x) { + target_href = version_selector_select + .children("option:selected") + .get(0).value; + window.location.href = target_href; + }); + + // add the current version to the selector based on siteinfo.js, but only if the selector is empty + if ( + typeof DOCUMENTER_CURRENT_VERSION !== "undefined" && + $("#version-selector > option").length == 0 + ) { + var option = $( + "" + ); + version_selector_select.append(option); + } + + if (typeof DOC_VERSIONS !== "undefined") { + var existing_versions = version_selector_select.children("option"); + var existing_versions_texts = existing_versions.map(function (i, x) { + return x.text; + }); + DOC_VERSIONS.forEach(function (each) { + var version_url = documenterBaseURL + "/../" + each + "/"; + var existing_id = $.inArray(each, existing_versions_texts); + // if not already in the version selector, add it as a new option, + // otherwise update the old option with the URL and enable it + if (existing_id == -1) { + var option = $( + "" + ); + version_selector_select.append(option); + } else { + var option = existing_versions[existing_id]; + option.value = version_url; + option.disabled = false; + } + }); + } + + // only show the version selector if the selector has been populated + if (version_selector_select.children("option").length > 0) { + version_selector.toggleClass("visible"); + } +}); + +}) diff --git a/previews/PR389/assets/flamegraph-OptimizeMe.png b/previews/PR389/assets/flamegraph-OptimizeMe.png new file mode 100644 index 0000000000000000000000000000000000000000..184f32bbaf4b1d492c8faab9bafbc8b59abb29ce 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.button.is-light.is-hovered{background-color:#eee;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light:focus,html.theme--catppuccin-frappe .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light:focus:not(:active),html.theme--catppuccin-frappe .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(245,245,245,0.25)}html.theme--catppuccin-frappe .button.is-light:active,html.theme--catppuccin-frappe .button.is-light.is-active{background-color:#e8e8e8;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-light{background-color:#f5f5f5;border-color:#f5f5f5;box-shadow:none}html.theme--catppuccin-frappe .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-frappe 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.button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-frappe 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!important}html.theme--catppuccin-frappe .button.is-dark.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .content kbd.button.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-dark.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .content kbd.button.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-frappe .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-dark.is-outlined[disabled],html.theme--catppuccin-frappe .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-dark.is-outlined,fieldset[disabled] html.theme--catppuccin-frappe .content kbd.button.is-outlined{background-color:transparent;border-color:#414559;box-shadow:none;color:#414559}html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#414559}html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #414559 #414559 !important}html.theme--catppuccin-frappe 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.button.is-primary.is-outlined.is-hovered,html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.is-hovered.docs-sourcelink,html.theme--catppuccin-frappe .button.is-primary.is-outlined:focus,html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.docs-sourcelink:focus,html.theme--catppuccin-frappe .button.is-primary.is-outlined.is-focused,html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.is-focused.docs-sourcelink{background-color:#8caaee;border-color:#8caaee;color:#fff}html.theme--catppuccin-frappe .button.is-primary.is-outlined.is-loading::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink::after{border-color:transparent transparent #8caaee #8caaee !important}html.theme--catppuccin-frappe .button.is-primary.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink:hover::after,html.theme--catppuccin-frappe 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.docstring>section>a.button.is-outlined.docs-sourcelink{background-color:transparent;border-color:#8caaee;box-shadow:none;color:#8caaee}html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink:hover,html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.is-hovered.docs-sourcelink,html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink:focus,html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined.is-focused,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.is-focused.docs-sourcelink{background-color:#fff;color:#8caaee}html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after,html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.is-loading.is-hovered.docs-sourcelink::after,html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after,html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after{border-color:transparent transparent #8caaee #8caaee !important}html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined[disabled],html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined,fieldset[disabled] html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-primary.is-light,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.docs-sourcelink{background-color:#edf2fc;color:#153a8e}html.theme--catppuccin-frappe .button.is-primary.is-light:hover,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.docs-sourcelink:hover,html.theme--catppuccin-frappe .button.is-primary.is-light.is-hovered,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.is-hovered.docs-sourcelink{background-color:#e2eafb;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-primary.is-light:active,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.docs-sourcelink:active,html.theme--catppuccin-frappe .button.is-primary.is-light.is-active,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.is-active.docs-sourcelink{background-color:#d7e1f9;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-link{background-color:#8caaee;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-link:hover,html.theme--catppuccin-frappe .button.is-link.is-hovered{background-color:#81a2ec;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-link:focus,html.theme--catppuccin-frappe .button.is-link.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-link:focus:not(:active),html.theme--catppuccin-frappe .button.is-link.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(140,170,238,0.25)}html.theme--catppuccin-frappe .button.is-link:active,html.theme--catppuccin-frappe .button.is-link.is-active{background-color:#769aeb;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-link[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-link{background-color:#8caaee;border-color:#8caaee;box-shadow:none}html.theme--catppuccin-frappe .button.is-link.is-inverted{background-color:#fff;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-inverted:hover,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-frappe .button.is-link.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-link.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-link.is-outlined{background-color:transparent;border-color:#8caaee;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-outlined:hover,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-link.is-outlined:focus,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-focused{background-color:#8caaee;border-color:#8caaee;color:#fff}html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading::after{border-color:transparent transparent #8caaee #8caaee !important}html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-link.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-link.is-outlined{background-color:transparent;border-color:#8caaee;box-shadow:none;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-focused{background-color:#fff;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #8caaee #8caaee !important}html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-link.is-light{background-color:#edf2fc;color:#153a8e}html.theme--catppuccin-frappe .button.is-link.is-light:hover,html.theme--catppuccin-frappe .button.is-link.is-light.is-hovered{background-color:#e2eafb;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-link.is-light:active,html.theme--catppuccin-frappe .button.is-link.is-light.is-active{background-color:#d7e1f9;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-info{background-color:#81c8be;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:hover,html.theme--catppuccin-frappe .button.is-info.is-hovered{background-color:#78c4b9;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:focus,html.theme--catppuccin-frappe .button.is-info.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:focus:not(:active),html.theme--catppuccin-frappe .button.is-info.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(129,200,190,0.25)}html.theme--catppuccin-frappe .button.is-info:active,html.theme--catppuccin-frappe .button.is-info.is-active{background-color:#6fc0b5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info{background-color:#81c8be;border-color:#81c8be;box-shadow:none}html.theme--catppuccin-frappe .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-inverted:hover,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) 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.button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #81c8be #81c8be !important}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-light{background-color:#f1f9f8;color:#2d675f}html.theme--catppuccin-frappe .button.is-info.is-light:hover,html.theme--catppuccin-frappe .button.is-info.is-light.is-hovered{background-color:#e8f5f3;border-color:transparent;color:#2d675f}html.theme--catppuccin-frappe .button.is-info.is-light:active,html.theme--catppuccin-frappe .button.is-info.is-light.is-active{background-color:#dff1ef;border-color:transparent;color:#2d675f}html.theme--catppuccin-frappe 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.button.is-success{background-color:#a6d189;border-color:#a6d189;box-shadow:none}html.theme--catppuccin-frappe .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted:hover,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-success.is-outlined{background-color:transparent;border-color:#a6d189;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-outlined:hover,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-success.is-outlined:focus,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-focused{background-color:#a6d189;border-color:#a6d189;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6d189 #a6d189 !important}html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-outlined{background-color:transparent;border-color:#a6d189;box-shadow:none;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6d189 #a6d189 !important}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-light{background-color:#f4f9f0;color:#446a29}html.theme--catppuccin-frappe .button.is-success.is-light:hover,html.theme--catppuccin-frappe .button.is-success.is-light.is-hovered{background-color:#edf6e7;border-color:transparent;color:#446a29}html.theme--catppuccin-frappe .button.is-success.is-light:active,html.theme--catppuccin-frappe .button.is-success.is-light.is-active{background-color:#e6f2de;border-color:transparent;color:#446a29}html.theme--catppuccin-frappe .button.is-warning{background-color:#e5c890;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:hover,html.theme--catppuccin-frappe .button.is-warning.is-hovered{background-color:#e3c386;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:focus,html.theme--catppuccin-frappe .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:focus:not(:active),html.theme--catppuccin-frappe .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(229,200,144,0.25)}html.theme--catppuccin-frappe .button.is-warning:active,html.theme--catppuccin-frappe .button.is-warning.is-active{background-color:#e0be7b;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning{background-color:#e5c890;border-color:#e5c890;box-shadow:none}html.theme--catppuccin-frappe .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted:hover,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined{background-color:transparent;border-color:#e5c890;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-outlined:hover,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-warning.is-outlined:focus,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-focused{background-color:#e5c890;border-color:#e5c890;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #e5c890 #e5c890 !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-outlined{background-color:transparent;border-color:#e5c890;box-shadow:none;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #e5c890 #e5c890 !important}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-light{background-color:#fbf7ee;color:#78591c}html.theme--catppuccin-frappe .button.is-warning.is-light:hover,html.theme--catppuccin-frappe .button.is-warning.is-light.is-hovered{background-color:#f9f2e4;border-color:transparent;color:#78591c}html.theme--catppuccin-frappe .button.is-warning.is-light:active,html.theme--catppuccin-frappe .button.is-warning.is-light.is-active{background-color:#f6edda;border-color:transparent;color:#78591c}html.theme--catppuccin-frappe .button.is-danger{background-color:#e78284;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:hover,html.theme--catppuccin-frappe .button.is-danger.is-hovered{background-color:#e57779;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:focus,html.theme--catppuccin-frappe .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:focus:not(:active),html.theme--catppuccin-frappe .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(231,130,132,0.25)}html.theme--catppuccin-frappe .button.is-danger:active,html.theme--catppuccin-frappe .button.is-danger.is-active{background-color:#e36d6f;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger{background-color:#e78284;border-color:#e78284;box-shadow:none}html.theme--catppuccin-frappe .button.is-danger.is-inverted{background-color:#fff;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted:hover,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-frappe .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined{background-color:transparent;border-color:#e78284;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-outlined:hover,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-danger.is-outlined:focus,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-focused{background-color:#e78284;border-color:#e78284;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #e78284 #e78284 !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-outlined{background-color:transparent;border-color:#e78284;box-shadow:none;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #e78284 #e78284 !important}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-light{background-color:#fceeee;color:#9a1e20}html.theme--catppuccin-frappe .button.is-danger.is-light:hover,html.theme--catppuccin-frappe .button.is-danger.is-light.is-hovered{background-color:#fae3e4;border-color:transparent;color:#9a1e20}html.theme--catppuccin-frappe .button.is-danger.is-light:active,html.theme--catppuccin-frappe .button.is-danger.is-light.is-active{background-color:#f8d8d9;border-color:transparent;color:#9a1e20}html.theme--catppuccin-frappe .button.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-frappe .button.is-small:not(.is-rounded),html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-frappe .button.is-normal{font-size:1rem}html.theme--catppuccin-frappe .button.is-medium{font-size:1.25rem}html.theme--catppuccin-frappe .button.is-large{font-size:1.5rem}html.theme--catppuccin-frappe .button[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button{background-color:#737994;border-color:#626880;box-shadow:none;opacity:.5}html.theme--catppuccin-frappe .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-frappe .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-frappe .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-frappe .button.is-static{background-color:#292c3c;border-color:#626880;color:#838ba7;box-shadow:none;pointer-events:none}html.theme--catppuccin-frappe .button.is-rounded,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-frappe .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-frappe .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-frappe .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-frappe .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-frappe .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-frappe .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-frappe .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-frappe .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-frappe .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-frappe .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-frappe .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-frappe .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-frappe .buttons.has-addons .button:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-frappe .buttons.has-addons .button:focus,html.theme--catppuccin-frappe .buttons.has-addons .button.is-focused,html.theme--catppuccin-frappe .buttons.has-addons .button:active,html.theme--catppuccin-frappe .buttons.has-addons .button.is-active,html.theme--catppuccin-frappe .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-frappe .buttons.has-addons .button:focus:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-frappe .buttons.has-addons .button:active:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-frappe .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-frappe .buttons.is-centered{justify-content:center}html.theme--catppuccin-frappe .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-frappe .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-frappe .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-frappe .button.is-responsive.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-frappe .button.is-responsive,html.theme--catppuccin-frappe .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-frappe .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-frappe .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-frappe .button.is-responsive.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-frappe .button.is-responsive,html.theme--catppuccin-frappe .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-frappe .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-frappe .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-frappe .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-frappe .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-frappe .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-frappe .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-frappe .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-frappe .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-frappe .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-frappe .content li+li{margin-top:0.25em}html.theme--catppuccin-frappe .content p:not(:last-child),html.theme--catppuccin-frappe .content dl:not(:last-child),html.theme--catppuccin-frappe .content ol:not(:last-child),html.theme--catppuccin-frappe .content ul:not(:last-child),html.theme--catppuccin-frappe .content blockquote:not(:last-child),html.theme--catppuccin-frappe .content pre:not(:last-child),html.theme--catppuccin-frappe .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-frappe .content h1,html.theme--catppuccin-frappe .content h2,html.theme--catppuccin-frappe .content h3,html.theme--catppuccin-frappe .content h4,html.theme--catppuccin-frappe .content h5,html.theme--catppuccin-frappe .content h6{color:#c6d0f5;font-weight:600;line-height:1.125}html.theme--catppuccin-frappe .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-frappe .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-frappe .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-frappe .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-frappe .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-frappe .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-frappe .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-frappe .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-frappe .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-frappe .content blockquote{background-color:#292c3c;border-left:5px solid #626880;padding:1.25em 1.5em}html.theme--catppuccin-frappe .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-frappe .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-frappe .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-frappe .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-frappe .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-frappe .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-frappe .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-frappe .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-frappe .content ul ul ul{list-style-type:square}html.theme--catppuccin-frappe .content dd{margin-left:2em}html.theme--catppuccin-frappe .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-frappe .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-frappe .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-frappe .content figure img{display:inline-block}html.theme--catppuccin-frappe .content figure figcaption{font-style:italic}html.theme--catppuccin-frappe .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-frappe .content sup,html.theme--catppuccin-frappe .content sub{font-size:75%}html.theme--catppuccin-frappe .content table{width:100%}html.theme--catppuccin-frappe .content table td,html.theme--catppuccin-frappe .content table th{border:1px solid #626880;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--catppuccin-frappe .content table th{color:#b0bef1}html.theme--catppuccin-frappe .content table th:not([align]){text-align:inherit}html.theme--catppuccin-frappe .content table thead td,html.theme--catppuccin-frappe .content table thead th{border-width:0 0 2px;color:#b0bef1}html.theme--catppuccin-frappe .content table tfoot td,html.theme--catppuccin-frappe .content table tfoot th{border-width:2px 0 0;color:#b0bef1}html.theme--catppuccin-frappe .content table tbody tr:last-child td,html.theme--catppuccin-frappe .content table tbody tr:last-child th{border-bottom-width:0}html.theme--catppuccin-frappe .content .tabs li+li{margin-top:0}html.theme--catppuccin-frappe .content.is-small,html.theme--catppuccin-frappe #documenter 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body.has-spaced-navbar-fixed-bottom{padding-bottom:6rem}html.theme--catppuccin-frappe a.navbar-item.is-active,html.theme--catppuccin-frappe .navbar-link.is-active{color:#8caaee}html.theme--catppuccin-frappe a.navbar-item.is-active:not(:focus):not(:hover),html.theme--catppuccin-frappe .navbar-link.is-active:not(:focus):not(:hover){background-color:rgba(0,0,0,0)}html.theme--catppuccin-frappe .navbar-item.has-dropdown:focus .navbar-link,html.theme--catppuccin-frappe .navbar-item.has-dropdown:hover .navbar-link,html.theme--catppuccin-frappe .navbar-item.has-dropdown.is-active .navbar-link{background-color:rgba(0,0,0,0)}}html.theme--catppuccin-frappe .hero.is-fullheight-with-navbar{min-height:calc(100vh - 4rem)}html.theme--catppuccin-frappe .pagination{font-size:1rem;margin:-.25rem}html.theme--catppuccin-frappe .pagination.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.pagination{font-size:.75rem}html.theme--catppuccin-frappe .pagination.is-medium{font-size:1.25rem}html.theme--catppuccin-frappe .pagination.is-large{font-size:1.5rem}html.theme--catppuccin-frappe .pagination.is-rounded .pagination-previous,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.pagination .pagination-previous,html.theme--catppuccin-frappe .pagination.is-rounded .pagination-next,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.pagination .pagination-next{padding-left:1em;padding-right:1em;border-radius:9999px}html.theme--catppuccin-frappe .pagination.is-rounded .pagination-link,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.pagination .pagination-link{border-radius:9999px}html.theme--catppuccin-frappe .pagination,html.theme--catppuccin-frappe .pagination-list{align-items:center;display:flex;justify-content:center;text-align:center}html.theme--catppuccin-frappe .pagination-previous,html.theme--catppuccin-frappe .pagination-next,html.theme--catppuccin-frappe .pagination-link,html.theme--catppuccin-frappe .pagination-ellipsis{font-size:1em;justify-content:center;margin:.25rem;padding-left:.5em;padding-right:.5em;text-align:center}html.theme--catppuccin-frappe .pagination-previous,html.theme--catppuccin-frappe .pagination-next,html.theme--catppuccin-frappe .pagination-link{border-color:#626880;color:#8caaee;min-width:2.5em}html.theme--catppuccin-frappe .pagination-previous:hover,html.theme--catppuccin-frappe .pagination-next:hover,html.theme--catppuccin-frappe .pagination-link:hover{border-color:#737994;color:#99d1db}html.theme--catppuccin-frappe .pagination-previous:focus,html.theme--catppuccin-frappe .pagination-next:focus,html.theme--catppuccin-frappe .pagination-link:focus{border-color:#737994}html.theme--catppuccin-frappe .pagination-previous:active,html.theme--catppuccin-frappe .pagination-next:active,html.theme--catppuccin-frappe .pagination-link:active{box-shadow:inset 0 1px 2px 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768px){html.theme--catppuccin-frappe .pagination{flex-wrap:wrap}html.theme--catppuccin-frappe .pagination-previous,html.theme--catppuccin-frappe .pagination-next{flex-grow:1;flex-shrink:1}html.theme--catppuccin-frappe .pagination-list li{flex-grow:1;flex-shrink:1}}@media screen and (min-width: 769px),print{html.theme--catppuccin-frappe .pagination-list{flex-grow:1;flex-shrink:1;justify-content:flex-start;order:1}html.theme--catppuccin-frappe .pagination-previous,html.theme--catppuccin-frappe .pagination-next,html.theme--catppuccin-frappe .pagination-link,html.theme--catppuccin-frappe .pagination-ellipsis{margin-bottom:0;margin-top:0}html.theme--catppuccin-frappe .pagination-previous{order:2}html.theme--catppuccin-frappe .pagination-next{order:3}html.theme--catppuccin-frappe .pagination{justify-content:space-between;margin-bottom:0;margin-top:0}html.theme--catppuccin-frappe .pagination.is-centered .pagination-previous{order:1}html.theme--catppuccin-frappe .pagination.is-centered 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rgba(10,10,10,0.25)}html.theme--catppuccin-latte .button.is-black:active,html.theme--catppuccin-latte .button.is-black.is-active{background-color:#000;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-black[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black{background-color:#0a0a0a;border-color:#0a0a0a;box-shadow:none}html.theme--catppuccin-latte .button.is-black.is-inverted{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-inverted:hover,html.theme--catppuccin-latte .button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-outlined:hover,html.theme--catppuccin-latte .button.is-black.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-black.is-outlined:focus,html.theme--catppuccin-latte .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-light{background-color:#f5f5f5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light:hover,html.theme--catppuccin-latte .button.is-light.is-hovered{background-color:#eee;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light:focus,html.theme--catppuccin-latte .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light:focus:not(:active),html.theme--catppuccin-latte .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(245,245,245,0.25)}html.theme--catppuccin-latte .button.is-light:active,html.theme--catppuccin-latte .button.is-light.is-active{background-color:#e8e8e8;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light{background-color:#f5f5f5;border-color:#f5f5f5;box-shadow:none}html.theme--catppuccin-latte .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-inverted:hover,html.theme--catppuccin-latte .button.is-light.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-outlined:hover,html.theme--catppuccin-latte .button.is-light.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-light.is-outlined:focus,html.theme--catppuccin-latte .button.is-light.is-outlined.is-focused{background-color:#f5f5f5;border-color:#f5f5f5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark,html.theme--catppuccin-latte .content kbd.button{background-color:#ccd0da;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark:hover,html.theme--catppuccin-latte .content kbd.button:hover,html.theme--catppuccin-latte .button.is-dark.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-hovered{background-color:#c5c9d5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark:focus,html.theme--catppuccin-latte .content kbd.button:focus,html.theme--catppuccin-latte .button.is-dark.is-focused,html.theme--catppuccin-latte .content kbd.button.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark:focus:not(:active),html.theme--catppuccin-latte .content kbd.button:focus:not(:active),html.theme--catppuccin-latte .button.is-dark.is-focused:not(:active),html.theme--catppuccin-latte .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(204,208,218,0.25)}html.theme--catppuccin-latte .button.is-dark:active,html.theme--catppuccin-latte .content kbd.button:active,html.theme--catppuccin-latte .button.is-dark.is-active,html.theme--catppuccin-latte .content kbd.button.is-active{background-color:#bdc2cf;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark[disabled],html.theme--catppuccin-latte .content kbd.button[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button{background-color:#ccd0da;border-color:#ccd0da;box-shadow:none}html.theme--catppuccin-latte .button.is-dark.is-inverted,html.theme--catppuccin-latte .content kbd.button.is-inverted{background-color:rgba(0,0,0,0.7);color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted:hover,html.theme--catppuccin-latte .content kbd.button.is-inverted:hover,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark.is-inverted[disabled],html.theme--catppuccin-latte .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-inverted,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-loading::after,html.theme--catppuccin-latte .content kbd.button.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-dark.is-outlined,html.theme--catppuccin-latte .content kbd.button.is-outlined{background-color:transparent;border-color:#ccd0da;color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-outlined:hover,html.theme--catppuccin-latte .content kbd.button.is-outlined:hover,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-dark.is-outlined:focus,html.theme--catppuccin-latte .content kbd.button.is-outlined:focus,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-focused,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-focused{background-color:#ccd0da;border-color:#ccd0da;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #ccd0da #ccd0da !important}html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-dark.is-outlined[disabled],html.theme--catppuccin-latte .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-outlined,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-outlined{background-color:transparent;border-color:#ccd0da;box-shadow:none;color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ccd0da #ccd0da !important}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined[disabled],html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-primary,html.theme--catppuccin-latte .docstring>section>a.button.docs-sourcelink{background-color:#1e66f5;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-primary:hover,html.theme--catppuccin-latte .docstring>section>a.button.docs-sourcelink:hover,html.theme--catppuccin-latte .button.is-primary.is-hovered,html.theme--catppuccin-latte .docstring>section>a.button.is-hovered.docs-sourcelink{background-color:#125ef4;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-primary:focus,html.theme--catppuccin-latte .docstring>section>a.button.docs-sourcelink:focus,html.theme--catppuccin-latte .button.is-primary.is-focused,html.theme--catppuccin-latte .docstring>section>a.button.is-focused.docs-sourcelink{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-primary:focus:not(:active),html.theme--catppuccin-latte .docstring>section>a.button.docs-sourcelink:focus:not(:active),html.theme--catppuccin-latte .button.is-primary.is-focused:not(:active),html.theme--catppuccin-latte .docstring>section>a.button.is-focused.docs-sourcelink:not(:active){box-shadow:0 0 0 0.125em rgba(30,102,245,0.25)}html.theme--catppuccin-latte .button.is-primary:active,html.theme--catppuccin-latte .docstring>section>a.button.docs-sourcelink:active,html.theme--catppuccin-latte .button.is-primary.is-active,html.theme--catppuccin-latte .docstring>section>a.button.is-active.docs-sourcelink{background-color:#0b57ef;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-primary[disabled],html.theme--catppuccin-latte .docstring>section>a.button.docs-sourcelink[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-primary,fieldset[disabled] html.theme--catppuccin-latte .docstring>section>a.button.docs-sourcelink{background-color:#1e66f5;border-color:#1e66f5;box-shadow:none}html.theme--catppuccin-latte .button.is-primary.is-inverted,html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.docs-sourcelink{background-color:#fff;color:#1e66f5}html.theme--catppuccin-latte .button.is-primary.is-inverted:hover,html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.docs-sourcelink:hover,html.theme--catppuccin-latte .button.is-primary.is-inverted.is-hovered,html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.is-hovered.docs-sourcelink{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-primary.is-inverted[disabled],html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.docs-sourcelink[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-primary.is-inverted,fieldset[disabled] html.theme--catppuccin-latte .docstring>section>a.button.is-inverted.docs-sourcelink{background-color:#fff;border-color:transparent;box-shadow:none;color:#1e66f5}html.theme--catppuccin-latte .button.is-primary.is-loading::after,html.theme--catppuccin-latte .docstring>section>a.button.is-loading.docs-sourcelink::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-primary.is-outlined,html.theme--catppuccin-latte .docstring>section>a.button.is-outlined.docs-sourcelink{background-color:transparent;border-color:#1e66f5;color:#1e66f5}html.theme--catppuccin-latte .button.is-primary.is-outlined:hover,html.theme--catppuccin-latte .docstring>section>a.button.is-outlined.docs-sourcelink:hover,html.theme--catppuccin-latte .button.is-primary.is-outlined.is-hovered,html.theme--catppuccin-latte .docstring>section>a.button.is-outlined.is-hovered.docs-sourcelink,html.theme--catppuccin-latte .button.is-primary.is-outlined:focus,html.theme--catppuccin-latte .docstring>section>a.button.is-outlined.docs-sourcelink:focus,html.theme--catppuccin-latte .button.is-primary.is-outlined.is-focused,html.theme--catppuccin-latte 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.button.is-primary.is-light.is-active,html.theme--catppuccin-latte .docstring>section>a.button.is-light.is-active.docs-sourcelink{background-color:#d3e1fd;border-color:transparent;color:#0a52e1}html.theme--catppuccin-latte .button.is-link{background-color:#1e66f5;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-link:hover,html.theme--catppuccin-latte .button.is-link.is-hovered{background-color:#125ef4;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-link:focus,html.theme--catppuccin-latte .button.is-link.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-link:focus:not(:active),html.theme--catppuccin-latte .button.is-link.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(30,102,245,0.25)}html.theme--catppuccin-latte .button.is-link:active,html.theme--catppuccin-latte .button.is-link.is-active{background-color:#0b57ef;border-color:transparent;color:#fff}html.theme--catppuccin-latte 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.button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success.is-outlined{background-color:transparent;border-color:#40a02b;box-shadow:none;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-focused{background-color:#fff;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #40a02b #40a02b !important}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-success.is-light{background-color:#f1fbef;color:#40a12b}html.theme--catppuccin-latte .button.is-success.is-light:hover,html.theme--catppuccin-latte .button.is-success.is-light.is-hovered{background-color:#e8f8e5;border-color:transparent;color:#40a12b}html.theme--catppuccin-latte .button.is-success.is-light:active,html.theme--catppuccin-latte .button.is-success.is-light.is-active{background-color:#e0f5db;border-color:transparent;color:#40a12b}html.theme--catppuccin-latte .button.is-warning{background-color:#df8e1d;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:hover,html.theme--catppuccin-latte .button.is-warning.is-hovered{background-color:#d4871c;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:focus,html.theme--catppuccin-latte .button.is-warning.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:focus:not(:active),html.theme--catppuccin-latte .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(223,142,29,0.25)}html.theme--catppuccin-latte .button.is-warning:active,html.theme--catppuccin-latte .button.is-warning.is-active{background-color:#c8801a;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning{background-color:#df8e1d;border-color:#df8e1d;box-shadow:none}html.theme--catppuccin-latte .button.is-warning.is-inverted{background-color:#fff;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted:hover,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-warning.is-outlined{background-color:transparent;border-color:#df8e1d;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-outlined:hover,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-warning.is-outlined:focus,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-focused{background-color:#df8e1d;border-color:#df8e1d;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #df8e1d #df8e1d !important}html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-outlined{background-color:transparent;border-color:#df8e1d;box-shadow:none;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-focused{background-color:#fff;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #df8e1d #df8e1d !important}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-light{background-color:#fdf6ed;color:#9e6515}html.theme--catppuccin-latte .button.is-warning.is-light:hover,html.theme--catppuccin-latte .button.is-warning.is-light.is-hovered{background-color:#fbf1e2;border-color:transparent;color:#9e6515}html.theme--catppuccin-latte .button.is-warning.is-light:active,html.theme--catppuccin-latte .button.is-warning.is-light.is-active{background-color:#faebd6;border-color:transparent;color:#9e6515}html.theme--catppuccin-latte .button.is-danger{background-color:#d20f39;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:hover,html.theme--catppuccin-latte .button.is-danger.is-hovered{background-color:#c60e36;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:focus,html.theme--catppuccin-latte .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:focus:not(:active),html.theme--catppuccin-latte .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(210,15,57,0.25)}html.theme--catppuccin-latte .button.is-danger:active,html.theme--catppuccin-latte .button.is-danger.is-active{background-color:#ba0d33;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger{background-color:#d20f39;border-color:#d20f39;box-shadow:none}html.theme--catppuccin-latte .button.is-danger.is-inverted{background-color:#fff;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted:hover,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-danger.is-outlined{background-color:transparent;border-color:#d20f39;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-outlined:hover,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-danger.is-outlined:focus,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-focused{background-color:#d20f39;border-color:#d20f39;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #d20f39 #d20f39 !important}html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-outlined{background-color:transparent;border-color:#d20f39;box-shadow:none;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #d20f39 #d20f39 !important}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-light{background-color:#feecf0;color:#e9113f}html.theme--catppuccin-latte .button.is-danger.is-light:hover,html.theme--catppuccin-latte .button.is-danger.is-light.is-hovered{background-color:#fde0e6;border-color:transparent;color:#e9113f}html.theme--catppuccin-latte .button.is-danger.is-light:active,html.theme--catppuccin-latte .button.is-danger.is-light.is-active{background-color:#fcd4dd;border-color:transparent;color:#e9113f}html.theme--catppuccin-latte .button.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-latte .button.is-small:not(.is-rounded),html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-latte .button.is-normal{font-size:1rem}html.theme--catppuccin-latte .button.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .button.is-large{font-size:1.5rem}html.theme--catppuccin-latte .button[disabled],fieldset[disabled] html.theme--catppuccin-latte .button{background-color:#9ca0b0;border-color:#acb0be;box-shadow:none;opacity:.5}html.theme--catppuccin-latte .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-latte .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-latte .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-latte .button.is-static{background-color:#e6e9ef;border-color:#acb0be;color:#8c8fa1;box-shadow:none;pointer-events:none}html.theme--catppuccin-latte .button.is-rounded,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-latte .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-latte .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-latte .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-latte .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-latte .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-latte .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-latte .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-latte .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-latte .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-latte .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-latte .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-latte .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-latte .buttons.has-addons .button:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-latte .buttons.has-addons .button:focus,html.theme--catppuccin-latte .buttons.has-addons .button.is-focused,html.theme--catppuccin-latte .buttons.has-addons .button:active,html.theme--catppuccin-latte .buttons.has-addons .button.is-active,html.theme--catppuccin-latte .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-latte .buttons.has-addons .button:focus:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-latte .buttons.has-addons .button:active:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-latte .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .buttons.is-centered{justify-content:center}html.theme--catppuccin-latte .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-latte .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-latte .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-latte .button.is-responsive.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-latte .button.is-responsive,html.theme--catppuccin-latte .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-latte .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-latte .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-latte .button.is-responsive.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-latte .button.is-responsive,html.theme--catppuccin-latte .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-latte .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-latte .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-latte .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-latte .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-latte .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-latte .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-latte .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-latte .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-latte .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-latte .content li+li{margin-top:0.25em}html.theme--catppuccin-latte .content p:not(:last-child),html.theme--catppuccin-latte .content dl:not(:last-child),html.theme--catppuccin-latte .content ol:not(:last-child),html.theme--catppuccin-latte .content ul:not(:last-child),html.theme--catppuccin-latte .content blockquote:not(:last-child),html.theme--catppuccin-latte .content pre:not(:last-child),html.theme--catppuccin-latte .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-latte .content h1,html.theme--catppuccin-latte .content h2,html.theme--catppuccin-latte .content h3,html.theme--catppuccin-latte .content h4,html.theme--catppuccin-latte .content h5,html.theme--catppuccin-latte .content h6{color:#4c4f69;font-weight:600;line-height:1.125}html.theme--catppuccin-latte .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-latte .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-latte .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-latte .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-latte .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-latte .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-latte .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-latte .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-latte .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-latte .content blockquote{background-color:#e6e9ef;border-left:5px solid #acb0be;padding:1.25em 1.5em}html.theme--catppuccin-latte .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-latte .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-latte .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-latte .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-latte .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-latte .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-latte .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-latte .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-latte .content ul ul ul{list-style-type:square}html.theme--catppuccin-latte .content dd{margin-left:2em}html.theme--catppuccin-latte .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-latte .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-latte .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-latte .content figure img{display:inline-block}html.theme--catppuccin-latte .content figure figcaption{font-style:italic}html.theme--catppuccin-latte .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-latte .content sup,html.theme--catppuccin-latte .content sub{font-size:75%}html.theme--catppuccin-latte .content table{width:100%}html.theme--catppuccin-latte .content table td,html.theme--catppuccin-latte .content table th{border:1px solid #acb0be;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--catppuccin-latte .content table th{color:#41445a}html.theme--catppuccin-latte .content table 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#documenter .docs-sidebar form.docs-search>input.file{font-size:.75rem}html.theme--catppuccin-latte .file.is-normal{font-size:1rem}html.theme--catppuccin-latte .file.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .file.is-medium .file-icon .fa{font-size:21px}html.theme--catppuccin-latte .file.is-large{font-size:1.5rem}html.theme--catppuccin-latte .file.is-large .file-icon .fa{font-size:28px}html.theme--catppuccin-latte .file.has-name .file-cta{border-bottom-right-radius:0;border-top-right-radius:0}html.theme--catppuccin-latte .file.has-name .file-name{border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-latte .file.has-name.is-empty .file-cta{border-radius:.4em}html.theme--catppuccin-latte .file.has-name.is-empty .file-name{display:none}html.theme--catppuccin-latte .file.is-boxed .file-label{flex-direction:column}html.theme--catppuccin-latte .file.is-boxed .file-cta{flex-direction:column;height:auto;padding:1em 3em}html.theme--catppuccin-latte .file.is-boxed .file-name{border-width:0 1px 1px}html.theme--catppuccin-latte .file.is-boxed .file-icon{height:1.5em;width:1.5em}html.theme--catppuccin-latte .file.is-boxed .file-icon .fa{font-size:21px}html.theme--catppuccin-latte .file.is-boxed.is-small .file-icon .fa,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-boxed .file-icon .fa{font-size:14px}html.theme--catppuccin-latte .file.is-boxed.is-medium .file-icon .fa{font-size:28px}html.theme--catppuccin-latte .file.is-boxed.is-large .file-icon .fa{font-size:35px}html.theme--catppuccin-latte .file.is-boxed.has-name .file-cta{border-radius:.4em .4em 0 0}html.theme--catppuccin-latte .file.is-boxed.has-name .file-name{border-radius:0 0 .4em .4em;border-width:0 1px 1px}html.theme--catppuccin-latte .file.is-centered{justify-content:center}html.theme--catppuccin-latte .file.is-fullwidth .file-label{width:100%}html.theme--catppuccin-latte .file.is-fullwidth .file-name{flex-grow:1;max-width:none}html.theme--catppuccin-latte .file.is-right{justify-content:flex-end}html.theme--catppuccin-latte .file.is-right .file-cta{border-radius:0 .4em .4em 0}html.theme--catppuccin-latte .file.is-right .file-name{border-radius:.4em 0 0 .4em;border-width:1px 0 1px 1px;order:-1}html.theme--catppuccin-latte .file-label{align-items:stretch;display:flex;cursor:pointer;justify-content:flex-start;overflow:hidden;position:relative}html.theme--catppuccin-latte .file-label:hover .file-cta{background-color:#c5c9d5;color:#41445a}html.theme--catppuccin-latte .file-label:hover .file-name{border-color:#a5a9b8}html.theme--catppuccin-latte .file-label:active .file-cta{background-color:#bdc2cf;color:#41445a}html.theme--catppuccin-latte .file-label:active .file-name{border-color:#9ea2b3}html.theme--catppuccin-latte .file-input{height:100%;left:0;opacity:0;outline:none;position:absolute;top:0;width:100%}html.theme--catppuccin-latte .file-cta,html.theme--catppuccin-latte .file-name{border-color:#acb0be;border-radius:.4em;font-size:1em;padding-left:1em;padding-right:1em;white-space:nowrap}html.theme--catppuccin-latte .file-cta{background-color:#ccd0da;color:#4c4f69}html.theme--catppuccin-latte .file-name{border-color:#acb0be;border-style:solid;border-width:1px 1px 1px 0;display:block;max-width:16em;overflow:hidden;text-align:inherit;text-overflow:ellipsis}html.theme--catppuccin-latte .file-icon{align-items:center;display:flex;height:1em;justify-content:center;margin-right:.5em;width:1em}html.theme--catppuccin-latte .file-icon .fa{font-size:14px}html.theme--catppuccin-latte .label{color:#41445a;display:block;font-size:1rem;font-weight:700}html.theme--catppuccin-latte .label:not(:last-child){margin-bottom:0.5em}html.theme--catppuccin-latte .label.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.label{font-size:.75rem}html.theme--catppuccin-latte .label.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .label.is-large{font-size:1.5rem}html.theme--catppuccin-latte .help{display:block;font-size:.75rem;margin-top:0.25rem}html.theme--catppuccin-latte .help.is-white{color:#fff}html.theme--catppuccin-latte .help.is-black{color:#0a0a0a}html.theme--catppuccin-latte .help.is-light{color:#f5f5f5}html.theme--catppuccin-latte .help.is-dark,html.theme--catppuccin-latte .content kbd.help{color:#ccd0da}html.theme--catppuccin-latte .help.is-primary,html.theme--catppuccin-latte .docstring>section>a.help.docs-sourcelink{color:#1e66f5}html.theme--catppuccin-latte .help.is-link{color:#1e66f5}html.theme--catppuccin-latte .help.is-info{color:#179299}html.theme--catppuccin-latte .help.is-success{color:#40a02b}html.theme--catppuccin-latte .help.is-warning{color:#df8e1d}html.theme--catppuccin-latte .help.is-danger{color:#d20f39}html.theme--catppuccin-latte .field:not(:last-child){margin-bottom:0.75rem}html.theme--catppuccin-latte .field.has-addons{display:flex;justify-content:flex-start}html.theme--catppuccin-latte .field.has-addons .control:not(:last-child){margin-right:-1px}html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) .button,html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) .input,html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) #documenter .docs-sidebar form.docs-search>input,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control:not(:first-child):not(:last-child) form.docs-search>input,html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) .select select{border-radius:0}html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) .button,html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) .input,html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) #documenter .docs-sidebar form.docs-search>input,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control:first-child:not(:only-child) form.docs-search>input,html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) .select select{border-bottom-right-radius:0;border-top-right-radius:0}html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) .button,html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) .input,html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) #documenter .docs-sidebar form.docs-search>input,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control:last-child:not(:only-child) form.docs-search>input,html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) .select select{border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .button.is-hovered:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .input.is-hovered:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-hovered:not([disabled]),html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-hovered:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .select select.is-hovered:not([disabled]){z-index:2}html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control .button.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control .button.is-active:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):focus,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control .input.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-focused:not([disabled]),html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):active,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control .input.is-active:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-active:not([disabled]),html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-active:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control .select select.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control .select select.is-active:not([disabled]){z-index:3}html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control .button.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control .button.is-active:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):focus:hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control .input.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-focused:not([disabled]):hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):active:hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control .input.is-active:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-active:not([disabled]):hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-active:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control .select select.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control .select select.is-active:not([disabled]):hover{z-index:4}html.theme--catppuccin-latte .field.has-addons .control.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .field.has-addons.has-addons-centered{justify-content:center}html.theme--catppuccin-latte .field.has-addons.has-addons-right{justify-content:flex-end}html.theme--catppuccin-latte .field.has-addons.has-addons-fullwidth .control{flex-grow:1;flex-shrink:0}html.theme--catppuccin-latte .field.is-grouped{display:flex;justify-content:flex-start}html.theme--catppuccin-latte .field.is-grouped>.control{flex-shrink:0}html.theme--catppuccin-latte .field.is-grouped>.control:not(:last-child){margin-bottom:0;margin-right:.75rem}html.theme--catppuccin-latte .field.is-grouped>.control.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .field.is-grouped.is-grouped-centered{justify-content:center}html.theme--catppuccin-latte .field.is-grouped.is-grouped-right{justify-content:flex-end}html.theme--catppuccin-latte .field.is-grouped.is-grouped-multiline{flex-wrap:wrap}html.theme--catppuccin-latte .field.is-grouped.is-grouped-multiline>.control:last-child,html.theme--catppuccin-latte .field.is-grouped.is-grouped-multiline>.control:not(:last-child){margin-bottom:0.75rem}html.theme--catppuccin-latte .field.is-grouped.is-grouped-multiline:last-child{margin-bottom:-0.75rem}html.theme--catppuccin-latte .field.is-grouped.is-grouped-multiline:not(:last-child){margin-bottom:0}@media screen and (min-width: 769px),print{html.theme--catppuccin-latte .field.is-horizontal{display:flex}}html.theme--catppuccin-latte .field-label .label{font-size:inherit}@media screen and (max-width: 768px){html.theme--catppuccin-latte .field-label{margin-bottom:0.5rem}}@media screen and (min-width: 769px),print{html.theme--catppuccin-latte .field-label{flex-basis:0;flex-grow:1;flex-shrink:0;margin-right:1.5rem;text-align:right}html.theme--catppuccin-latte .field-label.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.field-label{font-size:.75rem;padding-top:0.375em}html.theme--catppuccin-latte .field-label.is-normal{padding-top:0.375em}html.theme--catppuccin-latte .field-label.is-medium{font-size:1.25rem;padding-top:0.375em}html.theme--catppuccin-latte .field-label.is-large{font-size:1.5rem;padding-top:0.375em}}html.theme--catppuccin-latte .field-body .field .field{margin-bottom:0}@media screen and (min-width: 769px),print{html.theme--catppuccin-latte .field-body{display:flex;flex-basis:0;flex-grow:5;flex-shrink:1}html.theme--catppuccin-latte .field-body .field{margin-bottom:0}html.theme--catppuccin-latte .field-body>.field{flex-shrink:1}html.theme--catppuccin-latte .field-body>.field:not(.is-narrow){flex-grow:1}html.theme--catppuccin-latte .field-body>.field:not(:last-child){margin-right:.75rem}}html.theme--catppuccin-latte .control{box-sizing:border-box;clear:both;font-size:1rem;position:relative;text-align:inherit}html.theme--catppuccin-latte .control.has-icons-left .input:focus~.icon,html.theme--catppuccin-latte .control.has-icons-left #documenter .docs-sidebar form.docs-search>input:focus~.icon,html.theme--catppuccin-latte #documenter .docs-sidebar .control.has-icons-left form.docs-search>input:focus~.icon,html.theme--catppuccin-latte .control.has-icons-left .select:focus~.icon,html.theme--catppuccin-latte .control.has-icons-right .input:focus~.icon,html.theme--catppuccin-latte .control.has-icons-right #documenter .docs-sidebar form.docs-search>input:focus~.icon,html.theme--catppuccin-latte #documenter .docs-sidebar .control.has-icons-right form.docs-search>input:focus~.icon,html.theme--catppuccin-latte .control.has-icons-right .select:focus~.icon{color:#ccd0da}html.theme--catppuccin-latte .control.has-icons-left .input.is-small~.icon,html.theme--catppuccin-latte .control.has-icons-left #documenter .docs-sidebar form.docs-search>input~.icon,html.theme--catppuccin-latte #documenter .docs-sidebar .control.has-icons-left form.docs-search>input~.icon,html.theme--catppuccin-latte .control.has-icons-left .select.is-small~.icon,html.theme--catppuccin-latte .control.has-icons-right .input.is-small~.icon,html.theme--catppuccin-latte .control.has-icons-right #documenter .docs-sidebar form.docs-search>input~.icon,html.theme--catppuccin-latte #documenter .docs-sidebar .control.has-icons-right form.docs-search>input~.icon,html.theme--catppuccin-latte .control.has-icons-right .select.is-small~.icon{font-size:.75rem}html.theme--catppuccin-latte .control.has-icons-left .input.is-medium~.icon,html.theme--catppuccin-latte .control.has-icons-left #documenter .docs-sidebar form.docs-search>input.is-medium~.icon,html.theme--catppuccin-latte #documenter .docs-sidebar .control.has-icons-left form.docs-search>input.is-medium~.icon,html.theme--catppuccin-latte .control.has-icons-left .select.is-medium~.icon,html.theme--catppuccin-latte .control.has-icons-right .input.is-medium~.icon,html.theme--catppuccin-latte .control.has-icons-right #documenter .docs-sidebar form.docs-search>input.is-medium~.icon,html.theme--catppuccin-latte #documenter .docs-sidebar .control.has-icons-right form.docs-search>input.is-medium~.icon,html.theme--catppuccin-latte .control.has-icons-right .select.is-medium~.icon{font-size:1.25rem}html.theme--catppuccin-latte .control.has-icons-left 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kbd.button.is-outlined{background-color:transparent;border-color:#363a4f;box-shadow:none;color:#363a4f}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-macchiato .content 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.button.is-info.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-info.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-focused{background-color:#8bd5ca;border-color:#8bd5ca;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #8bd5ca #8bd5ca !important}html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-info.is-outlined{background-color:transparent;border-color:#8bd5ca;box-shadow:none;color:#8bd5ca}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#8bd5ca}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #8bd5ca #8bd5ca !important}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-light{background-color:#f0faf8;color:#276d62}html.theme--catppuccin-macchiato .button.is-info.is-light:hover,html.theme--catppuccin-macchiato .button.is-info.is-light.is-hovered{background-color:#e7f6f4;border-color:transparent;color:#276d62}html.theme--catppuccin-macchiato .button.is-info.is-light:active,html.theme--catppuccin-macchiato .button.is-info.is-light.is-active{background-color:#ddf3f0;border-color:transparent;color:#276d62}html.theme--catppuccin-macchiato .button.is-success{background-color:#a6da95;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success:hover,html.theme--catppuccin-macchiato .button.is-success.is-hovered{background-color:#9ed78c;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success:focus,html.theme--catppuccin-macchiato .button.is-success.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success:focus:not(:active),html.theme--catppuccin-macchiato .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(166,218,149,0.25)}html.theme--catppuccin-macchiato .button.is-success:active,html.theme--catppuccin-macchiato .button.is-success.is-active{background-color:#96d382;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success{background-color:#a6da95;border-color:#a6da95;box-shadow:none}html.theme--catppuccin-macchiato .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined{background-color:transparent;border-color:#a6da95;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-success.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-focused{background-color:#a6da95;border-color:#a6da95;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6da95 #a6da95 !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-outlined{background-color:transparent;border-color:#a6da95;box-shadow:none;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6da95 #a6da95 !important}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-light{background-color:#f2faf0;color:#386e26}html.theme--catppuccin-macchiato .button.is-success.is-light:hover,html.theme--catppuccin-macchiato .button.is-success.is-light.is-hovered{background-color:#eaf6e6;border-color:transparent;color:#386e26}html.theme--catppuccin-macchiato .button.is-success.is-light:active,html.theme--catppuccin-macchiato .button.is-success.is-light.is-active{background-color:#e2f3dd;border-color:transparent;color:#386e26}html.theme--catppuccin-macchiato .button.is-warning{background-color:#eed49f;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:hover,html.theme--catppuccin-macchiato .button.is-warning.is-hovered{background-color:#eccf94;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:focus,html.theme--catppuccin-macchiato .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:focus:not(:active),html.theme--catppuccin-macchiato .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(238,212,159,0.25)}html.theme--catppuccin-macchiato .button.is-warning:active,html.theme--catppuccin-macchiato .button.is-warning.is-active{background-color:#eaca89;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning{background-color:#eed49f;border-color:#eed49f;box-shadow:none}html.theme--catppuccin-macchiato .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined{background-color:transparent;border-color:#eed49f;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-warning.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-focused{background-color:#eed49f;border-color:#eed49f;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #eed49f #eed49f !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-outlined{background-color:transparent;border-color:#eed49f;box-shadow:none;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #eed49f #eed49f !important}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-light{background-color:#fcf7ee;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-warning.is-light:hover,html.theme--catppuccin-macchiato .button.is-warning.is-light.is-hovered{background-color:#faf2e3;border-color:transparent;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-warning.is-light:active,html.theme--catppuccin-macchiato .button.is-warning.is-light.is-active{background-color:#f8eed8;border-color:transparent;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-danger{background-color:#ed8796;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:hover,html.theme--catppuccin-macchiato .button.is-danger.is-hovered{background-color:#eb7c8c;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:focus,html.theme--catppuccin-macchiato .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:focus:not(:active),html.theme--catppuccin-macchiato .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(237,135,150,0.25)}html.theme--catppuccin-macchiato .button.is-danger:active,html.theme--catppuccin-macchiato .button.is-danger.is-active{background-color:#ea7183;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger{background-color:#ed8796;border-color:#ed8796;box-shadow:none}html.theme--catppuccin-macchiato .button.is-danger.is-inverted{background-color:#fff;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-macchiato .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined{background-color:transparent;border-color:#ed8796;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-danger.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-focused{background-color:#ed8796;border-color:#ed8796;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #ed8796 #ed8796 !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-outlined{background-color:transparent;border-color:#ed8796;box-shadow:none;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ed8796 #ed8796 !important}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-light{background-color:#fcedef;color:#971729}html.theme--catppuccin-macchiato .button.is-danger.is-light:hover,html.theme--catppuccin-macchiato .button.is-danger.is-light.is-hovered{background-color:#fbe2e6;border-color:transparent;color:#971729}html.theme--catppuccin-macchiato .button.is-danger.is-light:active,html.theme--catppuccin-macchiato .button.is-danger.is-light.is-active{background-color:#f9d7dc;border-color:transparent;color:#971729}html.theme--catppuccin-macchiato .button.is-small,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-macchiato .button.is-small:not(.is-rounded),html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-macchiato .button.is-normal{font-size:1rem}html.theme--catppuccin-macchiato .button.is-medium{font-size:1.25rem}html.theme--catppuccin-macchiato .button.is-large{font-size:1.5rem}html.theme--catppuccin-macchiato .button[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button{background-color:#6e738d;border-color:#5b6078;box-shadow:none;opacity:.5}html.theme--catppuccin-macchiato .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-macchiato .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-macchiato .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-macchiato .button.is-static{background-color:#1e2030;border-color:#5b6078;color:#8087a2;box-shadow:none;pointer-events:none}html.theme--catppuccin-macchiato .button.is-rounded,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-macchiato .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-macchiato .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-macchiato .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-macchiato .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-macchiato .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-macchiato .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-macchiato .buttons.are-small 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.container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-macchiato .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-macchiato .content li+li{margin-top:0.25em}html.theme--catppuccin-macchiato .content p:not(:last-child),html.theme--catppuccin-macchiato .content dl:not(:last-child),html.theme--catppuccin-macchiato .content ol:not(:last-child),html.theme--catppuccin-macchiato .content ul:not(:last-child),html.theme--catppuccin-macchiato .content blockquote:not(:last-child),html.theme--catppuccin-macchiato .content pre:not(:last-child),html.theme--catppuccin-macchiato .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-macchiato .content h1,html.theme--catppuccin-macchiato .content h2,html.theme--catppuccin-macchiato .content h3,html.theme--catppuccin-macchiato .content h4,html.theme--catppuccin-macchiato .content h5,html.theme--catppuccin-macchiato .content 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ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-macchiato .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-macchiato .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-macchiato .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-macchiato .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-macchiato .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-macchiato .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-macchiato .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-macchiato .content ul ul ul{list-style-type:square}html.theme--catppuccin-macchiato .content dd{margin-left:2em}html.theme--catppuccin-macchiato .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-macchiato 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form.docs-search>input.is-active{box-shadow:0 0 0 0.125em rgba(255,255,255,0.25)}html.theme--catppuccin-macchiato .is-black.textarea,html.theme--catppuccin-macchiato .is-black.input,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-black{border-color:#0a0a0a}html.theme--catppuccin-macchiato .is-black.textarea:focus,html.theme--catppuccin-macchiato .is-black.input:focus,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-black:focus,html.theme--catppuccin-macchiato .is-black.is-focused.textarea,html.theme--catppuccin-macchiato .is-black.is-focused.input,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-focused,html.theme--catppuccin-macchiato .is-black.textarea:active,html.theme--catppuccin-macchiato .is-black.input:active,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-black:active,html.theme--catppuccin-macchiato 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html.theme--catppuccin-mocha .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-link.is-light{background-color:#ebf3fe;color:#063c93}html.theme--catppuccin-mocha .button.is-link.is-light:hover,html.theme--catppuccin-mocha .button.is-link.is-light.is-hovered{background-color:#dfebfe;border-color:transparent;color:#063c93}html.theme--catppuccin-mocha .button.is-link.is-light:active,html.theme--catppuccin-mocha .button.is-link.is-light.is-active{background-color:#d3e3fd;border-color:transparent;color:#063c93}html.theme--catppuccin-mocha .button.is-info{background-color:#94e2d5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:hover,html.theme--catppuccin-mocha .button.is-info.is-hovered{background-color:#8adfd1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:focus,html.theme--catppuccin-mocha .button.is-info.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:focus:not(:active),html.theme--catppuccin-mocha .button.is-info.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(148,226,213,0.25)}html.theme--catppuccin-mocha .button.is-info:active,html.theme--catppuccin-mocha .button.is-info.is-active{background-color:#80ddcd;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info{background-color:#94e2d5;border-color:#94e2d5;box-shadow:none}html.theme--catppuccin-mocha .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-inverted:hover,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-info.is-outlined{background-color:transparent;border-color:#94e2d5;color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-outlined:hover,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-info.is-outlined:focus,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-focused{background-color:#94e2d5;border-color:#94e2d5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #94e2d5 #94e2d5 !important}html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info.is-outlined{background-color:transparent;border-color:#94e2d5;box-shadow:none;color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #94e2d5 #94e2d5 !important}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-light{background-color:#effbf9;color:#207466}html.theme--catppuccin-mocha .button.is-info.is-light:hover,html.theme--catppuccin-mocha .button.is-info.is-light.is-hovered{background-color:#e5f8f5;border-color:transparent;color:#207466}html.theme--catppuccin-mocha .button.is-info.is-light:active,html.theme--catppuccin-mocha .button.is-info.is-light.is-active{background-color:#dbf5f1;border-color:transparent;color:#207466}html.theme--catppuccin-mocha .button.is-success{background-color:#a6e3a1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success:hover,html.theme--catppuccin-mocha .button.is-success.is-hovered{background-color:#9de097;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success:focus,html.theme--catppuccin-mocha .button.is-success.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success:focus:not(:active),html.theme--catppuccin-mocha .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(166,227,161,0.25)}html.theme--catppuccin-mocha .button.is-success:active,html.theme--catppuccin-mocha .button.is-success.is-active{background-color:#93dd8d;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success{background-color:#a6e3a1;border-color:#a6e3a1;box-shadow:none}html.theme--catppuccin-mocha .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted:hover,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-success.is-outlined{background-color:transparent;border-color:#a6e3a1;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-outlined:hover,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-success.is-outlined:focus,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-focused{background-color:#a6e3a1;border-color:#a6e3a1;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6e3a1 #a6e3a1 !important}html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-outlined{background-color:transparent;border-color:#a6e3a1;box-shadow:none;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6e3a1 #a6e3a1 !important}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-light{background-color:#f0faef;color:#287222}html.theme--catppuccin-mocha .button.is-success.is-light:hover,html.theme--catppuccin-mocha .button.is-success.is-light.is-hovered{background-color:#e7f7e5;border-color:transparent;color:#287222}html.theme--catppuccin-mocha .button.is-success.is-light:active,html.theme--catppuccin-mocha .button.is-success.is-light.is-active{background-color:#def4dc;border-color:transparent;color:#287222}html.theme--catppuccin-mocha .button.is-warning{background-color:#f9e2af;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:hover,html.theme--catppuccin-mocha .button.is-warning.is-hovered{background-color:#f8dea3;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:focus,html.theme--catppuccin-mocha .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:focus:not(:active),html.theme--catppuccin-mocha .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(249,226,175,0.25)}html.theme--catppuccin-mocha .button.is-warning:active,html.theme--catppuccin-mocha .button.is-warning.is-active{background-color:#f7d997;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning{background-color:#f9e2af;border-color:#f9e2af;box-shadow:none}html.theme--catppuccin-mocha .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted:hover,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined{background-color:transparent;border-color:#f9e2af;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-outlined:hover,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-warning.is-outlined:focus,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-focused{background-color:#f9e2af;border-color:#f9e2af;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #f9e2af #f9e2af !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-outlined{background-color:transparent;border-color:#f9e2af;box-shadow:none;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f9e2af #f9e2af !important}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-light{background-color:#fef8ec;color:#8a620a}html.theme--catppuccin-mocha .button.is-warning.is-light:hover,html.theme--catppuccin-mocha .button.is-warning.is-light.is-hovered{background-color:#fdf4e0;border-color:transparent;color:#8a620a}html.theme--catppuccin-mocha .button.is-warning.is-light:active,html.theme--catppuccin-mocha .button.is-warning.is-light.is-active{background-color:#fcf0d4;border-color:transparent;color:#8a620a}html.theme--catppuccin-mocha .button.is-danger{background-color:#f38ba8;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:hover,html.theme--catppuccin-mocha .button.is-danger.is-hovered{background-color:#f27f9f;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:focus,html.theme--catppuccin-mocha .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:focus:not(:active),html.theme--catppuccin-mocha .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(243,139,168,0.25)}html.theme--catppuccin-mocha .button.is-danger:active,html.theme--catppuccin-mocha .button.is-danger.is-active{background-color:#f17497;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger{background-color:#f38ba8;border-color:#f38ba8;box-shadow:none}html.theme--catppuccin-mocha .button.is-danger.is-inverted{background-color:#fff;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted:hover,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-mocha .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined{background-color:transparent;border-color:#f38ba8;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-outlined:hover,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-danger.is-outlined:focus,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-focused{background-color:#f38ba8;border-color:#f38ba8;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #f38ba8 #f38ba8 !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-outlined{background-color:transparent;border-color:#f38ba8;box-shadow:none;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f38ba8 #f38ba8 !important}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-light{background-color:#fdedf1;color:#991036}html.theme--catppuccin-mocha .button.is-danger.is-light:hover,html.theme--catppuccin-mocha .button.is-danger.is-light.is-hovered{background-color:#fce1e8;border-color:transparent;color:#991036}html.theme--catppuccin-mocha .button.is-danger.is-light:active,html.theme--catppuccin-mocha .button.is-danger.is-light.is-active{background-color:#fbd5e0;border-color:transparent;color:#991036}html.theme--catppuccin-mocha .button.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-mocha .button.is-small:not(.is-rounded),html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-mocha .button.is-normal{font-size:1rem}html.theme--catppuccin-mocha .button.is-medium{font-size:1.25rem}html.theme--catppuccin-mocha .button.is-large{font-size:1.5rem}html.theme--catppuccin-mocha .button[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button{background-color:#6c7086;border-color:#585b70;box-shadow:none;opacity:.5}html.theme--catppuccin-mocha .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-mocha .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-mocha .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-mocha .button.is-static{background-color:#181825;border-color:#585b70;color:#7f849c;box-shadow:none;pointer-events:none}html.theme--catppuccin-mocha .button.is-rounded,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--catppuccin-mocha .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-mocha .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-mocha .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-mocha .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-mocha .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-mocha .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-mocha .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-mocha .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-mocha .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-mocha .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-mocha .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-mocha .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-mocha .buttons.has-addons .button:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-mocha .buttons.has-addons .button:focus,html.theme--catppuccin-mocha .buttons.has-addons .button.is-focused,html.theme--catppuccin-mocha .buttons.has-addons .button:active,html.theme--catppuccin-mocha .buttons.has-addons .button.is-active,html.theme--catppuccin-mocha .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-mocha .buttons.has-addons .button:focus:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-mocha .buttons.has-addons .button:active:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-mocha .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-mocha .buttons.is-centered{justify-content:center}html.theme--catppuccin-mocha .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-mocha .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-mocha .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--catppuccin-mocha .button.is-responsive.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-mocha .button.is-responsive,html.theme--catppuccin-mocha .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-mocha .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-mocha .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-mocha .button.is-responsive.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-mocha .button.is-responsive,html.theme--catppuccin-mocha .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-mocha .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-mocha .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-mocha .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-mocha .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-mocha .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-mocha .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-mocha .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-mocha .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-mocha .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-mocha .content li+li{margin-top:0.25em}html.theme--catppuccin-mocha .content p:not(:last-child),html.theme--catppuccin-mocha .content dl:not(:last-child),html.theme--catppuccin-mocha .content ol:not(:last-child),html.theme--catppuccin-mocha .content ul:not(:last-child),html.theme--catppuccin-mocha .content blockquote:not(:last-child),html.theme--catppuccin-mocha .content pre:not(:last-child),html.theme--catppuccin-mocha .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-mocha .content h1,html.theme--catppuccin-mocha .content h2,html.theme--catppuccin-mocha .content h3,html.theme--catppuccin-mocha .content h4,html.theme--catppuccin-mocha .content h5,html.theme--catppuccin-mocha .content h6{color:#cdd6f4;font-weight:600;line-height:1.125}html.theme--catppuccin-mocha .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-mocha .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-mocha .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-mocha .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-mocha .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-mocha .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-mocha .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-mocha .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-mocha .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-mocha .content blockquote{background-color:#181825;border-left:5px solid #585b70;padding:1.25em 1.5em}html.theme--catppuccin-mocha .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-mocha .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-mocha .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-mocha .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-mocha .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-mocha .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-mocha .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-mocha .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-mocha .content ul ul ul{list-style-type:square}html.theme--catppuccin-mocha .content dd{margin-left:2em}html.theme--catppuccin-mocha .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-mocha .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-mocha .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-mocha .content figure img{display:inline-block}html.theme--catppuccin-mocha .content figure figcaption{font-style:italic}html.theme--catppuccin-mocha .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-mocha .content sup,html.theme--catppuccin-mocha .content sub{font-size:75%}html.theme--catppuccin-mocha .content table{width:100%}html.theme--catppuccin-mocha .content table td,html.theme--catppuccin-mocha .content table th{border:1px solid #585b70;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--catppuccin-mocha .content table th{color:#b8c5ef}html.theme--catppuccin-mocha .content table th:not([align]){text-align:inherit}html.theme--catppuccin-mocha .content table thead td,html.theme--catppuccin-mocha .content table thead th{border-width:0 0 2px;color:#b8c5ef}html.theme--catppuccin-mocha .content table tfoot td,html.theme--catppuccin-mocha .content table tfoot th{border-width:2px 0 0;color:#b8c5ef}html.theme--catppuccin-mocha .content table tbody tr:last-child td,html.theme--catppuccin-mocha .content table tbody tr:last-child th{border-bottom-width:0}html.theme--catppuccin-mocha .content .tabs li+li{margin-top:0}html.theme--catppuccin-mocha .content.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--catppuccin-mocha .content.is-normal{font-size:1rem}html.theme--catppuccin-mocha .content.is-medium{font-size:1.25rem}html.theme--catppuccin-mocha .content.is-large{font-size:1.5rem}html.theme--catppuccin-mocha .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--catppuccin-mocha .icon.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.icon{height:1rem;width:1rem}html.theme--catppuccin-mocha .icon.is-medium{height:2rem;width:2rem}html.theme--catppuccin-mocha .icon.is-large{height:3rem;width:3rem}html.theme--catppuccin-mocha .icon-text{align-items:flex-start;color:inherit;display:inline-flex;flex-wrap:wrap;line-height:1.5rem;vertical-align:top}html.theme--catppuccin-mocha .icon-text .icon{flex-grow:0;flex-shrink:0}html.theme--catppuccin-mocha .icon-text .icon:not(:last-child){margin-right:.25em}html.theme--catppuccin-mocha .icon-text .icon:not(:first-child){margin-left:.25em}html.theme--catppuccin-mocha div.icon-text{display:flex}html.theme--catppuccin-mocha .image,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img{display:block;position:relative}html.theme--catppuccin-mocha .image img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--catppuccin-mocha .image img.is-rounded,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:9999px}html.theme--catppuccin-mocha .image.is-fullwidth,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-fullwidth{width:100%}html.theme--catppuccin-mocha .image.is-square img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--catppuccin-mocha .image.is-square .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--catppuccin-mocha .image.is-1by1 img,html.theme--catppuccin-mocha #documenter .docs-sidebar 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.has-ratio,html.theme--catppuccin-mocha .image.is-5by3 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-5by3 img,html.theme--catppuccin-mocha .image.is-5by3 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-5by3 .has-ratio,html.theme--catppuccin-mocha .image.is-16by9 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-16by9 img,html.theme--catppuccin-mocha .image.is-16by9 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-16by9 .has-ratio,html.theme--catppuccin-mocha .image.is-2by1 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-2by1 img,html.theme--catppuccin-mocha .image.is-2by1 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-2by1 .has-ratio,html.theme--catppuccin-mocha .image.is-3by1 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by1 img,html.theme--catppuccin-mocha 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img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by5 img,html.theme--catppuccin-mocha .image.is-3by5 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by5 .has-ratio,html.theme--catppuccin-mocha .image.is-9by16 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-9by16 img,html.theme--catppuccin-mocha .image.is-9by16 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-9by16 .has-ratio,html.theme--catppuccin-mocha .image.is-1by2 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by2 img,html.theme--catppuccin-mocha .image.is-1by2 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by2 .has-ratio,html.theme--catppuccin-mocha .image.is-1by3 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by3 img,html.theme--catppuccin-mocha .image.is-1by3 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by3 .has-ratio{height:100%;width:100%}html.theme--catppuccin-mocha .image.is-square,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-square,html.theme--catppuccin-mocha .image.is-1by1,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by1{padding-top:100%}html.theme--catppuccin-mocha .image.is-5by4,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-5by4{padding-top:80%}html.theme--catppuccin-mocha .image.is-4by3,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-4by3{padding-top:75%}html.theme--catppuccin-mocha .image.is-3by2,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by2{padding-top:66.6666%}html.theme--catppuccin-mocha .image.is-5by3,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-5by3{padding-top:60%}html.theme--catppuccin-mocha .image.is-16by9,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-16by9{padding-top:56.25%}html.theme--catppuccin-mocha .image.is-2by1,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-2by1{padding-top:50%}html.theme--catppuccin-mocha .image.is-3by1,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by1{padding-top:33.3333%}html.theme--catppuccin-mocha .image.is-4by5,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-4by5{padding-top:125%}html.theme--catppuccin-mocha .image.is-3by4,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by4{padding-top:133.3333%}html.theme--catppuccin-mocha .image.is-2by3,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-2by3{padding-top:150%}html.theme--catppuccin-mocha .image.is-3by5,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by5{padding-top:166.6666%}html.theme--catppuccin-mocha .image.is-9by16,html.theme--catppuccin-mocha #documenter 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.button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-light{background-color:#ecf0f1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:hover,html.theme--documenter-dark .button.is-light.is-hovered{background-color:#e5eaec;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:focus,html.theme--documenter-dark .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:focus:not(:active),html.theme--documenter-dark .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(236,240,241,0.25)}html.theme--documenter-dark .button.is-light:active,html.theme--documenter-dark .button.is-light.is-active{background-color:#dde4e6;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light{background-color:#ecf0f1;border-color:#ecf0f1;box-shadow:none}html.theme--documenter-dark .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted:hover,html.theme--documenter-dark .button.is-light.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--documenter-dark .button.is-light.is-outlined{background-color:transparent;border-color:#ecf0f1;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-outlined:hover,html.theme--documenter-dark .button.is-light.is-outlined.is-hovered,html.theme--documenter-dark .button.is-light.is-outlined:focus,html.theme--documenter-dark .button.is-light.is-outlined.is-focused{background-color:#ecf0f1;border-color:#ecf0f1;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-light.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--documenter-dark .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-outlined{background-color:transparent;border-color:#ecf0f1;box-shadow:none;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-dark,html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:hover,html.theme--documenter-dark .content kbd.button:hover,html.theme--documenter-dark .button.is-dark.is-hovered,html.theme--documenter-dark .content kbd.button.is-hovered{background-color:#232829;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:focus,html.theme--documenter-dark .content kbd.button:focus,html.theme--documenter-dark .button.is-dark.is-focused,html.theme--documenter-dark .content kbd.button.is-focused{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:focus:not(:active),html.theme--documenter-dark .content kbd.button:focus:not(:active),html.theme--documenter-dark .button.is-dark.is-focused:not(:active),html.theme--documenter-dark .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(40,47,47,0.25)}html.theme--documenter-dark .button.is-dark:active,html.theme--documenter-dark .content kbd.button:active,html.theme--documenter-dark .button.is-dark.is-active,html.theme--documenter-dark .content kbd.button.is-active{background-color:#1d2122;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark[disabled],html.theme--documenter-dark .content kbd.button[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark,fieldset[disabled] html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:#282f2f;box-shadow:none}html.theme--documenter-dark .button.is-dark.is-inverted,html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#fff;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted:hover,html.theme--documenter-dark .content kbd.button.is-inverted:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-dark.is-inverted[disabled],html.theme--documenter-dark .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-loading::after,html.theme--documenter-dark .content kbd.button.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-dark.is-outlined,html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-outlined.is-focused{background-color:#282f2f;border-color:#282f2f;color:#fff}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-dark.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-primary,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink{background-color:#375a7f;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:hover,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:hover,html.theme--documenter-dark .button.is-primary.is-hovered,html.theme--documenter-dark .docstring>section>a.button.is-hovered.docs-sourcelink{background-color:#335476;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:focus,html.theme--documenter-dark 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.docstring>section>a.button.is-outlined.is-hovered.docs-sourcelink,html.theme--documenter-dark .button.is-primary.is-outlined:focus,html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink:focus,html.theme--documenter-dark .button.is-primary.is-outlined.is-focused,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-focused.docs-sourcelink{background-color:#375a7f;border-color:#375a7f;color:#fff}html.theme--documenter-dark .button.is-primary.is-outlined.is-loading::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink::after{border-color:transparent transparent #375a7f #375a7f !important}html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:hover::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink:hover::after,html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after,html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:focus::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink:focus::after,html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-primary.is-outlined[disabled],html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-outlined,fieldset[disabled] html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink{background-color:transparent;border-color:#375a7f;box-shadow:none;color:#375a7f}html.theme--documenter-dark 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.button.is-link.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-link.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-link.is-outlined{background-color:transparent;border-color:#1abc9c;box-shadow:none;color:#1abc9c}html.theme--documenter-dark .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-focused{background-color:#fff;color:#1abc9c}html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #1abc9c #1abc9c !important}html.theme--documenter-dark .button.is-link.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-link.is-light{background-color:#edfdf9;color:#15987e}html.theme--documenter-dark .button.is-link.is-light:hover,html.theme--documenter-dark .button.is-link.is-light.is-hovered{background-color:#e2fbf6;border-color:transparent;color:#15987e}html.theme--documenter-dark .button.is-link.is-light:active,html.theme--documenter-dark 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.button.is-info.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-info.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-focused{background-color:#fff;color:#3c5dcd}html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #3c5dcd #3c5dcd !important}html.theme--documenter-dark .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark 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.button.is-success.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#259a12}html.theme--documenter-dark .button.is-success.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-success.is-outlined{background-color:transparent;border-color:#259a12;color:#259a12}html.theme--documenter-dark .button.is-success.is-outlined:hover,html.theme--documenter-dark .button.is-success.is-outlined.is-hovered,html.theme--documenter-dark .button.is-success.is-outlined:focus,html.theme--documenter-dark .button.is-success.is-outlined.is-focused{background-color:#259a12;border-color:#259a12;color:#fff}html.theme--documenter-dark .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #259a12 #259a12 !important}html.theme--documenter-dark .button.is-success.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-success.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-success.is-outlined{background-color:transparent;border-color:#259a12;box-shadow:none;color:#259a12}html.theme--documenter-dark .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-success.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-success.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-focused{background-color:#fff;color:#259a12}html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #259a12 #259a12 !important}html.theme--documenter-dark .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-success.is-light{background-color:#effded;color:#2ec016}html.theme--documenter-dark .button.is-success.is-light:hover,html.theme--documenter-dark 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rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--documenter-dark .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-outlined{background-color:transparent;border-color:#f4c72f;box-shadow:none;color:#f4c72f}html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f4c72f}html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f4c72f #f4c72f !important}html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-warning.is-light{background-color:#fefaec;color:#8c6e07}html.theme--documenter-dark .button.is-warning.is-light:hover,html.theme--documenter-dark .button.is-warning.is-light.is-hovered{background-color:#fdf7e0;border-color:transparent;color:#8c6e07}html.theme--documenter-dark .button.is-warning.is-light:active,html.theme--documenter-dark .button.is-warning.is-light.is-active{background-color:#fdf3d3;border-color:transparent;color:#8c6e07}html.theme--documenter-dark .button.is-danger{background-color:#cb3c33;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-danger:hover,html.theme--documenter-dark .button.is-danger.is-hovered{background-color:#c13930;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-danger:focus,html.theme--documenter-dark .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-danger:focus:not(:active),html.theme--documenter-dark .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(203,60,51,0.25)}html.theme--documenter-dark .button.is-danger:active,html.theme--documenter-dark .button.is-danger.is-active{background-color:#b7362e;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-danger[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger{background-color:#cb3c33;border-color:#cb3c33;box-shadow:none}html.theme--documenter-dark .button.is-danger.is-inverted{background-color:#fff;color:#cb3c33}html.theme--documenter-dark .button.is-danger.is-inverted:hover,html.theme--documenter-dark .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#cb3c33}html.theme--documenter-dark .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-danger.is-outlined{background-color:transparent;border-color:#cb3c33;color:#cb3c33}html.theme--documenter-dark .button.is-danger.is-outlined:hover,html.theme--documenter-dark .button.is-danger.is-outlined.is-hovered,html.theme--documenter-dark 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html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-danger.is-light{background-color:#fbefef;color:#c03930}html.theme--documenter-dark .button.is-danger.is-light:hover,html.theme--documenter-dark .button.is-danger.is-light.is-hovered{background-color:#f8e6e5;border-color:transparent;color:#c03930}html.theme--documenter-dark .button.is-danger.is-light:active,html.theme--documenter-dark .button.is-danger.is-light.is-active{background-color:#f6dcda;border-color:transparent;color:#c03930}html.theme--documenter-dark .button.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--documenter-dark .button.is-small:not(.is-rounded),html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--documenter-dark .button.is-normal{font-size:1rem}html.theme--documenter-dark .button.is-medium{font-size:1.25rem}html.theme--documenter-dark .button.is-large{font-size:1.5rem}html.theme--documenter-dark .button[disabled],fieldset[disabled] html.theme--documenter-dark .button{background-color:#8c9b9d;border-color:#5e6d6f;box-shadow:none;opacity:.5}html.theme--documenter-dark .button.is-fullwidth{display:flex;width:100%}html.theme--documenter-dark .button.is-loading{color:transparent !important;pointer-events:none}html.theme--documenter-dark .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--documenter-dark .button.is-static{background-color:#282f2f;border-color:#5e6d6f;color:#dbdee0;box-shadow:none;pointer-events:none}html.theme--documenter-dark .button.is-rounded,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 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.buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--documenter-dark .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--documenter-dark .buttons.has-addons .button:last-child{margin-right:0}html.theme--documenter-dark .buttons.has-addons .button:hover,html.theme--documenter-dark .buttons.has-addons .button.is-hovered{z-index:2}html.theme--documenter-dark .buttons.has-addons .button:focus,html.theme--documenter-dark .buttons.has-addons .button.is-focused,html.theme--documenter-dark .buttons.has-addons .button:active,html.theme--documenter-dark .buttons.has-addons .button.is-active,html.theme--documenter-dark .buttons.has-addons .button.is-selected{z-index:3}html.theme--documenter-dark .buttons.has-addons .button:focus:hover,html.theme--documenter-dark .buttons.has-addons .button.is-focused:hover,html.theme--documenter-dark .buttons.has-addons .button:active:hover,html.theme--documenter-dark .buttons.has-addons .button.is-active:hover,html.theme--documenter-dark .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--documenter-dark .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--documenter-dark .buttons.is-centered{justify-content:center}html.theme--documenter-dark .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--documenter-dark .buttons.is-right{justify-content:flex-end}html.theme--documenter-dark .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--documenter-dark .button.is-responsive.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--documenter-dark .button.is-responsive,html.theme--documenter-dark .button.is-responsive.is-normal{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--documenter-dark .button.is-responsive.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive,html.theme--documenter-dark .button.is-responsive.is-normal{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:1rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1.25rem}}html.theme--documenter-dark .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--documenter-dark .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--documenter-dark .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--documenter-dark .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--documenter-dark .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--documenter-dark .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--documenter-dark .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--documenter-dark .content li+li{margin-top:0.25em}html.theme--documenter-dark .content p:not(:last-child),html.theme--documenter-dark .content dl:not(:last-child),html.theme--documenter-dark .content ol:not(:last-child),html.theme--documenter-dark .content ul:not(:last-child),html.theme--documenter-dark .content blockquote:not(:last-child),html.theme--documenter-dark .content pre:not(:last-child),html.theme--documenter-dark .content table:not(:last-child){margin-bottom:1em}html.theme--documenter-dark .content h1,html.theme--documenter-dark .content h2,html.theme--documenter-dark .content h3,html.theme--documenter-dark .content h4,html.theme--documenter-dark .content h5,html.theme--documenter-dark .content h6{color:#f2f2f2;font-weight:600;line-height:1.125}html.theme--documenter-dark .content h1{font-size:2em;margin-bottom:0.5em}html.theme--documenter-dark .content h1:not(:first-child){margin-top:1em}html.theme--documenter-dark .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--documenter-dark .content h2:not(:first-child){margin-top:1.1428em}html.theme--documenter-dark .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--documenter-dark .content h3:not(:first-child){margin-top:1.3333em}html.theme--documenter-dark .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--documenter-dark .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--documenter-dark .content h6{font-size:1em;margin-bottom:1em}html.theme--documenter-dark .content blockquote{background-color:#282f2f;border-left:5px solid #5e6d6f;padding:1.25em 1.5em}html.theme--documenter-dark .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ol:not([type]){list-style-type:decimal}html.theme--documenter-dark .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--documenter-dark .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--documenter-dark .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--documenter-dark .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--documenter-dark .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--documenter-dark .content ul ul ul{list-style-type:square}html.theme--documenter-dark .content dd{margin-left:2em}html.theme--documenter-dark .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--documenter-dark .content figure:not(:first-child){margin-top:2em}html.theme--documenter-dark .content figure:not(:last-child){margin-bottom:2em}html.theme--documenter-dark .content figure img{display:inline-block}html.theme--documenter-dark .content figure figcaption{font-style:italic}html.theme--documenter-dark .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--documenter-dark .content sup,html.theme--documenter-dark .content sub{font-size:75%}html.theme--documenter-dark .content table{width:100%}html.theme--documenter-dark .content table td,html.theme--documenter-dark .content table th{border:1px solid #5e6d6f;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--documenter-dark .content table th{color:#f2f2f2}html.theme--documenter-dark .content table th:not([align]){text-align:inherit}html.theme--documenter-dark .content table thead td,html.theme--documenter-dark .content table thead th{border-width:0 0 2px;color:#f2f2f2}html.theme--documenter-dark .content table tfoot td,html.theme--documenter-dark .content table tfoot th{border-width:2px 0 0;color:#f2f2f2}html.theme--documenter-dark .content table tbody tr:last-child td,html.theme--documenter-dark .content table tbody tr:last-child th{border-bottom-width:0}html.theme--documenter-dark .content .tabs li+li{margin-top:0}html.theme--documenter-dark .content.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--documenter-dark .content.is-normal{font-size:1rem}html.theme--documenter-dark .content.is-medium{font-size:1.25rem}html.theme--documenter-dark .content.is-large{font-size:1.5rem}html.theme--documenter-dark 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img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--documenter-dark .image img.is-rounded,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:9999px}html.theme--documenter-dark .image.is-fullwidth,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-fullwidth{width:100%}html.theme--documenter-dark .image.is-square img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--documenter-dark .image.is-square .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--documenter-dark .image.is-1by1 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by1 img,html.theme--documenter-dark .image.is-1by1 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by1 .has-ratio,html.theme--documenter-dark .image.is-5by4 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.docs-logo>img.is-3by1{padding-top:33.3333%}html.theme--documenter-dark .image.is-4by5,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by5{padding-top:125%}html.theme--documenter-dark .image.is-3by4,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by4{padding-top:133.3333%}html.theme--documenter-dark .image.is-2by3,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-2by3{padding-top:150%}html.theme--documenter-dark .image.is-3by5,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by5{padding-top:166.6666%}html.theme--documenter-dark .image.is-9by16,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-9by16{padding-top:177.7777%}html.theme--documenter-dark .image.is-1by2,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by2{padding-top:200%}html.theme--documenter-dark .image.is-1by3,html.theme--documenter-dark #documenter .docs-sidebar 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Gets put into the tag.. +function set_theme_from_local_storage() { + // Initialize the theme to null, which means default + var theme = null; + // If the browser supports the localstorage and is not disabled then try to get the + // documenter theme + if (window.localStorage != null) { + // Get the user-picked theme from localStorage. May be `null`, which means the default + // theme. + theme = window.localStorage.getItem("documenter-theme"); + } + // Check if the users preference is for dark color scheme + var darkPreference = + window.matchMedia("(prefers-color-scheme: dark)").matches === true; + // Initialize a few variables for the loop: + // + // - active: will contain the index of the theme that should be active. Note that there + // is no guarantee that localStorage contains sane values. If `active` stays `null` + // we either could not find the theme or it is the default (primary) theme anyway. + // Either way, we then need to stick to the primary theme. + // + // - disabled: style sheets that should be disabled (i.e. all the theme style sheets + // that are not the currently active theme) + var active = null; + var disabled = []; + var primaryLightTheme = null; + var primaryDarkTheme = null; + for (var i = 0; i < document.styleSheets.length; i++) { + var ss = document.styleSheets[i]; + // The tag of each style sheet is expected to have a data-theme-name attribute + // which must contain the name of the theme. The names in localStorage much match this. + var themename = ss.ownerNode.getAttribute("data-theme-name"); + // attribute not set => non-theme stylesheet => ignore + if (themename === null) continue; + // To distinguish the default (primary) theme, it needs to have the data-theme-primary + // attribute set. + if (ss.ownerNode.getAttribute("data-theme-primary") !== null) { + primaryLightTheme = themename; + } + // Check if the theme is primary dark theme so that we could store its name in darkTheme + if (ss.ownerNode.getAttribute("data-theme-primary-dark") !== null) { + primaryDarkTheme = themename; + } + // If we find a matching theme (and it's not the default), we'll set active to non-null + if (themename === theme) active = i; + // Store the style sheets of inactive themes so that we could disable them + if (themename !== theme) disabled.push(ss); + } + var activeTheme = null; + if (active !== null) { + // If we did find an active theme, we'll (1) add the theme--$(theme) class to + document.getElementsByTagName("html")[0].className = "theme--" + theme; + activeTheme = theme; + } else { + // If we did _not_ find an active theme, then we need to fall back to the primary theme + // which can either be dark or light, depending on the user's OS preference. + var activeTheme = darkPreference ? primaryDarkTheme : primaryLightTheme; + // In case it somehow happens that the relevant primary theme was not found in the + // preceding loop, we abort without doing anything. + if (activeTheme === null) { + console.error("Unable to determine primary theme."); + return; + } + // When switching to the primary light theme, then we must not have a class name + // for the tag. That's only for non-primary or the primary dark theme. + if (darkPreference) { + document.getElementsByTagName("html")[0].className = + "theme--" + activeTheme; + } else { + document.getElementsByTagName("html")[0].className = ""; + } + } + for (var i = 0; i < document.styleSheets.length; i++) { + var ss = document.styleSheets[i]; + // The tag of each style sheet is expected to have a data-theme-name attribute + // which must contain the name of the theme. The names in localStorage much match this. + var themename = ss.ownerNode.getAttribute("data-theme-name"); + // attribute not set => non-theme stylesheet => ignore + if (themename === null) continue; + // we'll disable all the stylesheets, except for the active one + ss.disabled = !(themename == activeTheme); + } +} +set_theme_from_local_storage(); diff --git a/previews/PR389/assets/warner.js b/previews/PR389/assets/warner.js new file mode 100644 index 000000000..3f6f5d008 --- /dev/null +++ b/previews/PR389/assets/warner.js @@ -0,0 +1,52 @@ +function maybeAddWarning() { + // DOCUMENTER_NEWEST is defined in versions.js, DOCUMENTER_CURRENT_VERSION and DOCUMENTER_STABLE + // in siteinfo.js. + // If either of these are undefined something went horribly wrong, so we abort. + if ( + window.DOCUMENTER_NEWEST === undefined || + window.DOCUMENTER_CURRENT_VERSION === undefined || + window.DOCUMENTER_STABLE === undefined + ) { + return; + } + + // Current version is not a version number, so we can't tell if it's the newest version. Abort. + if (!/v(\d+\.)*\d+/.test(window.DOCUMENTER_CURRENT_VERSION)) { + return; + } + + // Current version is newest version, so no need to add a warning. + if (window.DOCUMENTER_NEWEST === window.DOCUMENTER_CURRENT_VERSION) { + return; + } + + // Add a noindex meta tag (unless one exists) so that search engines don't index this version of the docs. + if (document.body.querySelector('meta[name="robots"]') === null) { + const meta = document.createElement("meta"); + meta.name = "robots"; + meta.content = "noindex"; + + document.getElementsByTagName("head")[0].appendChild(meta); + } + + const div = document.createElement("div"); + div.classList.add("outdated-warning-overlay"); + const closer = document.createElement("button"); + closer.classList.add("outdated-warning-closer", "delete"); + closer.addEventListener("click", function () { + document.body.removeChild(div); + }); + const href = window.documenterBaseURL + "/../" + window.DOCUMENTER_STABLE; + div.innerHTML = + 'This documentation is not for the latest stable release, but for either the development version or an older release.
Click here to go to the documentation for the latest stable release.'; + div.appendChild(closer); + document.body.appendChild(div); +} + +if (document.readyState === "loading") { + document.addEventListener("DOMContentLoaded", maybeAddWarning); +} else { + maybeAddWarning(); +} diff --git a/previews/PR389/explanations/basic/index.html b/previews/PR389/explanations/basic/index.html new file mode 100644 index 000000000..0ddea0f11 --- /dev/null +++ b/previews/PR389/explanations/basic/index.html @@ -0,0 +1,2 @@ + +Understanding SnoopCompile and Julia's compilation pipeline · SnoopCompile
GitHub

Understanding SnoopCompile and Julia's compilation pipeline

Julia uses Just-in-time (JIT) compilation to generate the code that runs on your CPU. Broadly speaking, there are two major compilation steps: inference and code generation. Inference is the process of determining the type of each object, which in turn determines which specific methods get called; once type inference is complete, code generation performs optimizations and ultimately generates the assembly language (native code) used on CPUs. Some aspects of this process are documented here.

Using code that has never been compiled requires that it first be JIT-compiled, and this contributes to the latency of using the package. In some circumstances, you can cache (store) the results of compilation to files to reduce the latency when your package is used. These files are the the *.ji and *.so files that live in the compiled directory of your Julia depot, usually located at ~/.julia/compiled. However, if these files become large, loading them can be another source for latency. Julia needs time both to load and validate the cached compiled code. Minimizing the latency of using a package involves focusing on caching the compilation of code that is both commonly used and takes time to compile.

Caching code for later use is called precompilation. Julia has had some forms of precompilation almost since the very first packages. However, it was Julia 1.9 that first supported "complete" precompilation, including the ability to store native code in shared-library cache files.

SnoopCompile is designed to try to allow you to analyze the costs of JIT-compilation, identify key bottlenecks that contribute to latency, and set up precompile directives to see whether it produces measurable benefits.

Package precompilation

When a package is precompiled, here's what happens under the hood:

  • Julia loads all of the package's dependencies (the ones in the [deps] section of the Project.toml file), typically from precompile cache files
  • Julia evaluates the source code (text files) that define the package module(s). Evaluating function foo(args...) ... end creates a new method foo. Note that:
    • the source code might also contain statements that create "data" (e.g., consts). In some cases this can lead to some subtle precompilation "gotchas"
    • the source code might also contain a precompile workload, which forces compilation and tracking of package methods.
  • Julia iterates over the module contents and writes the result to disk. Note that the module contents might include compiled code, and if so it is written along with everything else to the cache file.

When Julia loads your package, it just loads the "snapshot" stored in the cache file: it does not re-evaluate the source-text files that defined your package! It is appropriate to think of the source files of your package as "build scripts" that create your module; once the "build scripts" are executed, it's the module itself that gets cached, and the job of the build scripts is done.

diff --git a/previews/PR389/explanations/fixing_inference/index.html b/previews/PR389/explanations/fixing_inference/index.html new file mode 100644 index 000000000..f4d06577a --- /dev/null +++ b/previews/PR389/explanations/fixing_inference/index.html @@ -0,0 +1,53 @@ + +Techniques for fixing inference problems · SnoopCompile
GitHub

Techniques for fixing inference problems

Here we assume you've dug into your code with a tool like Cthulhu, and want to know how to fix some of the problems that you discover. Below is a collection of specific cases and some tricks for handling them.

Note that there is also a tutorial on fixing inference that delves into advanced topics.

Adding type annotations

Using concrete types

Defining variables like list = [] can be convenient, but it creates a list of type Vector{Any}. This prevents inference from knowing the type of items extracted from list. Using list = String[] for a container of strings, etc., is an excellent fix. When in doubt, check the type with isconcretetype: a common mistake is to think that list_of_lists = Array{Int}[] gives you a vector-of-vectors, but

julia> isconcretetype(Array{Int})
+false

reminds you that Array requires a second parameter indicating the dimensionality of the array. (Or use list_of_lists = Vector{Int}[] instead, as Vector{Int} === Array{Int, 1}.)

Many valuable tips can be found among Julia's performance tips, and readers are encouraged to consult that page.

Working with non-concrete types

In cases where invalidations occur, but you can't use concrete types (there are indeed many valid uses of Vector{Any}), you can often prevent the invalidation using some additional knowledge. One common example is extracting information from an IOContext structure, which is roughly defined as

struct IOContext{IO_t <: IO} <: AbstractPipe
+    io::IO_t
+    dict::ImmutableDict{Symbol, Any}
+end

There are good reasons that dict uses a value-type of Any, but that makes it impossible for the compiler to infer the type of any object looked up in an IOContext. Fortunately, you can help! For example, the documentation specifies that the :color setting should be a Bool, and since it appears in documentation it's something we can safely enforce. Changing

iscolor = get(io, :color, false)

to

iscolor = get(io, :color, false)::Bool     # assert that the rhs is Bool-valued

will throw an error if it isn't a Bool, and this allows the compiler to take advantage of the type being known in subsequent operations.

If the return type is one of a small number of possibilities (generally three or fewer), you can annotate the return type with Union{...}. This is generally advantageous only when the intersection of what inference already knows about the types of a variable and the types in the Union results in an concrete type.

As a more detailed example, suppose you're writing code that parses Julia's Expr type:

julia> ex = :(Array{Float32,3})
+:(Array{Float32, 3})
+
+julia> dump(ex)
+Expr
+  head: Symbol curly
+  args: Vector{Any(3,))
+    1: Symbol Array
+    2: Symbol Float32
+    3: Int64 3

ex.args is a Vector{Any}. However, for a :curly expression only certain types will be found among the arguments; you could write key portions of your code as

a = ex.args[2]
+if a isa Symbol
+    # inside this block, Julia knows `a` is a Symbol, and so methods called on `a` will be resistant to invalidation
+    foo(a)
+elseif a isa Expr && length((a::Expr).args) > 2
+    a::Expr         # sometimes you have to help inference by adding a type-assert
+    x = bar(a)      # `bar` is now resistant to invalidation
+elseif a isa Integer
+    # even though you've not made this fully-inferrable, you've at least reduced the scope for invalidations
+    # by limiting the subset of `foobar` methods that might be called
+    y = foobar(a)
+end

Other tricks include replacing broadcasting on v::Vector{Any} with Base.mapany(f, v)–mapany avoids trying to narrow the type of f(v[i]) and just assumes it will be Any, thereby avoiding invalidations of many convert methods.

Adding type-assertions and fixing inference problems are the most common approaches for fixing invalidations. You can discover these manually, but using Cthulhu is highly recommended.

Inferrable field access for abstract types

When invalidations happen for methods that manipulate fields of abstract types, often there is a simple solution: create an "interface" for the abstract type specifying that certain fields must have certain types. Here's an example:

abstract type AbstractDisplay end
+
+struct Monitor <: AbstractDisplay
+    height::Int
+    width::Int
+    maker::String
+end
+
+struct Phone <: AbstractDisplay
+    height::Int
+    width::Int
+    maker::Symbol
+end
+
+function Base.show(@nospecialize(d::AbstractDisplay), x)
+    str = string(x)
+    w = d.width
+    if length(str) > w  # do we have to truncate to fit the display width?
+        ...

In this show method, we've deliberately chosen to prevent specialization on the specific type of AbstractDisplay (to reduce the total number of times we have to compile this method). As a consequence, Julia's inference may not realize that d.width returns an Int.

Fortunately, you can help by defining an interface for generic AbstractDisplay objects:

function Base.getproperty(d::AbstractDisplay, name::Symbol)
+    if name === :height
+        return getfield(d, :height)::Int
+    elseif name === :width
+        return getfield(d, :width)::Int
+    elseif name === :maker
+        return getfield(d, :maker)::Union{String,Symbol}
+    end
+    return getfield(d, name)
+end

Julia's constant propagation will ensure that most accesses of those fields will be determined at compile-time, so this simple change robustly fixes many inference problems.

Fixing Core.Box

Julia issue 15276 is one of the more surprising forms of inference failure; it is the most common cause of a Core.Box annotation. If other variables depend on the Boxed variable, then a single Core.Box can lead to widespread inference problems. For this reason, these are also among the first inference problems you should tackle.

Read this explanation of why this happens and what you can do to fix it. If you are directed to find Core.Box inference triggers via suggest, you may need to explore around the call site a bit– the inference trigger may be in the closure itself, but the fix needs to go in the method that creates the closure.

Use of ascend is highly recommended for fixing Core.Box inference failures.

Handling edge cases

You can sometimes get invalidations from failing to handle "formal" possibilities. For example, operations with regular expressions might return a Union{Nothing, RegexMatch}. You can sometimes get poor type inference by writing code that fails to take account of the possibility that nothing might be returned. For example, a comprehension

ms = [m.match for m in match.((rex,), my_strings)]

might be replaced with

ms = [m.match for m in match.((rex,), my_strings) if m !== nothing]

and return a better-typed result.

diff --git a/previews/PR389/explanations/gotchas/index.html b/previews/PR389/explanations/gotchas/index.html new file mode 100644 index 000000000..674db70b8 --- /dev/null +++ b/previews/PR389/explanations/gotchas/index.html @@ -0,0 +1,5 @@ + +Precompilation "gotcha"s · SnoopCompile
GitHub

Precompilation "gotcha"s

Running code during module definition

Suppose you're working on an astronomy package and your source code has a line

const planets = map(makeplanet, ["Mercury", ...])

Julia will dutifully create planets and store it in the package's precompile cache file. This also runs makeplanet, and if this is the first time it gets run, it will compile makeplanet. Assuming that makeplanet is a method defined in the package, the compiled code for makeplanet will be stored in the cache file.

However, two circumstances can lead to puzzling omissions from the cache files:

  • if makeplanet is a method defined in a dependency of your package, it will not be cached in your package. You'd want to add precompilation of makeplanet to the package that creates that method.
  • if makeplanet is poorly-infered and uses runtime dispatch, any such callees that are not owned by your package will not be cached. For example, suppose makeplanet ends up calling methods in Base Julia or its standard libraries that are not precompiled into Julia itself: the compiled code for those methods will not be added to the cache file.

One option to ensure this dependent code gets cached is to create planets inside PrecompileTools.@compile_workload:

@compile_workload begin
+    global planets
+    const planet = map(makeplanet, ["Mercury", ...])
+end

Note that your package definition can have multiple @compile_workload blocks.

diff --git a/previews/PR389/explanations/tools/index.html b/previews/PR389/explanations/tools/index.html new file mode 100644 index 000000000..42a8d6ae1 --- /dev/null +++ b/previews/PR389/explanations/tools/index.html @@ -0,0 +1,2 @@ + +Package roles and alternatives · SnoopCompile
GitHub

Package roles and alternatives

SnoopCompile

SnoopCompileCore is a tiny package with no dependencies; it's used for collecting data, and it has been designed in such a way that it cannot cause any invalidations of its own. Collecting data on invalidations and inference with SnoopCompileCore is the only way you can be sure you are observing the "native state" of your code.

SnoopCompile

SnoopCompile is a much larger package that performs analysis on the data collected by SnoopCompileCore; loading SnoopCompile can (and does) trigger invalidations. Consequently, you're urged to always collect data with just SnoopCompileCore loaded, and wait to load SnoopCompile until after you've finished collecting the data.

Cthulhu

Cthulhu is a companion package that gives deep insights into the origin of invalidations or inference failures.

AbstractTrees

AbstractTrees is the one package in this list that can be both a "workhorse" and a developer tool. SnoopCompile uses it mostly for pretty-printing.

JET

JET is a powerful developer tool that in some ways is an alternative to SnoopCompile. While the two have different goals, the packages have some overlap in what they can tell you about your code. However, their mechanisms of action are fundamentally different:

  • JET is a "static analyzer," which means that it analyzes the code itself. JET can tell you about inference failures (runtime dispatch) much like SnoopCompile, with a major advantage: SnoopCompileCore omits information about any callees that are already compiled, but JET's @report_opt provides exhaustive information about the entire inferable callgraph (i.e., the part of the callgraph that inference can predict from the initial call) regardless of whether it has been previously compiled. With JET, you don't have to remember to run each analysis in a fresh session.

  • SnoopCompileCore collects data by watching normal inference at work. On code that hasn't been compiled previously, this can yield results similar to JET's, with a different major advantage: JET can't "see through" runtime dispatch, but SnoopCompileCore can. With SnoopCompile, you can immediately get a wholistic view of your entire callgraph.

Combining JET and SnoopCompile can provide insights that are difficult to obtain with either package in isolation. See the Tutorial on JET integration.

diff --git a/previews/PR389/index.html b/previews/PR389/index.html new file mode 100644 index 000000000..ff029602f --- /dev/null +++ b/previews/PR389/index.html @@ -0,0 +1,2 @@ + +SnoopCompile.jl · SnoopCompile
GitHub

SnoopCompile.jl

Julia is fast, but its execution speed depends on optimizing code through compilation. Code must be compiled before you can use it, and unfortunately compilation is slow. This can cause latency the first time you use code: this latency is often called time-to-first-plot (TTFP) or more generally time-to-first-execution (TTFX). If something feels slow the first time you use it, and fast thereafter, you're probably experiencing the latency of compilation.

Modern versions of Julia can store compiled code to disk (precompilation) to reduce or eliminate latency. Users and developers who are interested in reducing TTFX should first head to PrecompileTools, read its documentation thoroughly, and try using it to solve latency problems.

This package, SnoopCompile, should be considered when:

  • precompilation doesn't reduce latency as much as you wish
  • precompilation "works," but only in isolation: as soon as you load (certain) additional packages, TTFX is bad again
  • you're wondering if you can reduce the amount of time needed to precompile your package and/or the size of the shared library files

In other words, SnoopCompile is a diagonostic package that helps reveal the causes of latency. Historically, it proceeded PrecompileTools, and indeed PrecompileTools was split out from SnoopCompile. Today, SnoopCompile is generally needed only when PrecompileTools fails to deliver the desired benefits.

SnoopCompile analysis modes

SnoopCompile "snoops" on the Julia compiler, collecting information that may be useful to developers. Here are some of the things you can do with SnoopCompile:

  • diagnose invalidations, cases where Julia must throw away previously-compiled code (see Tutorial on @snoop_invalidations)
  • trace inference, to learn what code is being newly (or freshly) analyzed in an early stage of the compilation pipeline (Tutorial on @snoop_inference)
  • trace code generation by LLVM, a late stage in the compilation pipeline (Tutorial on @snoop_llvm)
  • reveal methods with excessive numbers of compiler-generated specializations, a.k.a.profile-guided despecialization (Tutorial on PGDS)
  • integrate with tools like JET to help reduce the risk that your lovingly-precompiled code will be invalidated by loading other packages (Tutorial on JET integration)

Background information

If nothing else, you should know this:

  • invalidations occur when you load code (e.g., using MyPkg) or otherwise define new methods
  • inference and other stages of compilation occur the first time you run code for a particular combination of input types

The individual tutorials briefly explain core concepts. More detail can be found in Understanding SnoopCompile and Julia's compilation pipeline.

Who should use this package

SnoopCompile is intended primarily for package developers who want to improve the experience for their users. It is also recommended for users who are willing to "dig deep" and understand why packages they depend on have high latency. Your experience with latency may be personal, as it can depend on the specific combination of packages you load. If latency troubles you, don't make the assumption that it must be unfixable: you might be the first person affected by that specific cause of latency.

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GitHub

Reference

Data collection

SnoopCompileCore.@snoop_invalidations — Macro
invs = @snoop_invalidations expr

Capture method cache invalidations triggered by evaluating expr. invs is a sequence of invalidated Core.MethodInstances together with "explanations," consisting of integers (encoding depth) and strings (documenting the source of an invalidation).

Unless you are working at a low level, you essentially always want to pass invs directly to SnoopCompile.invalidation_trees.

Extended help

invs is in a format where the "reason" comes after the items. Method deletion results in the sequence

[zero or more (mi, "invalidate_mt_cache") pairs..., zero or more (depth1 tree, loctag) pairs..., method, loctag] with loctag = "jl_method_table_disable"

where mi means a MethodInstance. depth1 means a sequence starting at depth=1.

Method insertion results in the sequence

[zero or more (depth0 tree, sig) pairs..., same info as with delete_method except loctag = "jl_method_table_insert"]

The authoritative reference is Julia's own src/gf.c file.

source
SnoopCompileCore.@snoop_inference — Macro
tinf = @snoop_inference commands;

Produce a profile of julia's type inference, recording the amount of time spent inferring every MethodInstance processed while executing commands. Each fresh entrance to type inference (whether executed directly in commands or because a call was made by runtime-dispatch) also collects a backtrace so the caller can be identified.

tinf is a tree, each node containing data on a particular inference "frame" (the method, argument-type specializations, parameters, and even any constant-propagated values). Each reports the exclusive/inclusive times, where the exclusive time corresponds to the time spent inferring this frame in and of itself, whereas the inclusive time includes the time needed to infer all the callees of this frame.

The top-level node in this profile tree is ROOT. Uniquely, its exclusive time corresponds to the time spent not in julia's type inference (codegen, llvm_opt, runtime, etc).

Working with tinf effectively requires loading SnoopCompile.

Warning

Note the semicolon ; at the end of the @snoop_inference macro call. Because SnoopCompileCore is not permitted to invalidate any code, it cannot define the Base.show methods that pretty-print tinf. Defer inspection of tinf until SnoopCompile has been loaded.

Example

julia> tinf = @snoop_inference begin
+           sort(rand(100))  # Evaluate some code and profile julia's type inference
+       end;
source
SnoopCompileCore.@snoop_llvm — Macro
@snoop_llvm "func_names.csv" "llvm_timings.yaml" begin
+    # Commands to execute, in a new process
+end

causes the julia compiler to log timing information for LLVM optimization during the provided commands to the files "funcnames.csv" and "llvmtimings.yaml". These files can be used for the input to SnoopCompile.read_snoop_llvm("func_names.csv", "llvm_timings.yaml").

The logs contain the amount of time spent optimizing each "llvm module", and information about each module, where a module is a collection of functions being optimized together.

source

GUIs

SnoopCompile.flamegraph — Function
flamegraph(tinf::InferenceTimingNode; tmin=0.0, excluded_modules=Set([Main]), mode=nothing)

Convert the call tree of inference timings returned from @snoop_inference into a FlameGraph. Returns a FlameGraphs.FlameGraph structure that represents the timing trace recorded for type inference.

Frames that take less than tmin seconds of inclusive time will not be included in the resultant FlameGraph (meaning total time including it and all of its children). This can be helpful if you have a very big profile, to save on processing time.

Non-precompilable frames are marked in reddish colors. excluded_modules can be used to mark methods defined in modules to which you cannot or do not wish to add precompiles.

mode controls how frames are named in tools like ProfileView. nothing uses the default of just the qualified function name, whereas supplying mode=Dict(method => count) counting the number of specializations of each method will cause the number of specializations to be included in the frame name.

Example

We'll use SnoopCompile.flatten_demo, which runs @snoop_inference on a workload designed to yield reproducible results:

julia> tinf = SnoopCompile.flatten_demo()
+InferenceTimingNode: 0.002148974/0.002767166 on Core.Compiler.Timings.ROOT() with 1 direct children
+
+julia> fg = flamegraph(tinf)
+Node(FlameGraphs.NodeData(ROOT() at typeinfer.jl:75, 0x00, 0:3334431))
julia> ProfileView.view(fg);  # Display the FlameGraph in a package that supports it

You should be able to reconcile the resulting flamegraph to print_tree(tinf) (see flatten).

The empty horizontal periods in the flamegraph correspond to times when something other than inference is running. The total width of the flamegraph is set from the ROOT node.

source
SnoopCompile.pgdsgui — Function
methodref, ax = pgdsgui(tinf::InferenceTimingNode; consts::Bool=true, by=inclusive)
+methodref     = pgdsgui(ax, tinf::InferenceTimingNode; kwargs...)

Create a scatter plot comparing: - (vertical axis) the inference time for all instances of each Method, as captured by tinf; - (horizontal axis) the run time cost, as estimated by capturing a @profile before calling this function.

Each dot corresponds to a single method. The face color encodes the number of times that method was inferred, and the edge color corresponds to the fraction of the runtime spent on runtime dispatch (black is 0%, bright red is 100%). Clicking on a dot prints the method (or location, if inlined) to the REPL, and sets methodref[] to that method.

ax is the pyplot axis of the scatterplot.

Compat

pgdsgui depends on PyPlot via the Requires.jl package. You must load both SnoopCompile and PyPlot for this function to be defined.

source

Analysis of invalidations

SnoopCompile.uinvalidated — Function
umis = uinvalidated(invlist)

Return the unique invalidated MethodInstances. invlist is obtained from SnoopCompileCore.@snoop_invalidations. This is similar to filtering for MethodInstances in invlist, except that it discards any tagged "invalidate_mt_cache". These can typically be ignored because they are nearly inconsequential: they do not invalidate any compiled code, they only transiently affect an optimization of runtime dispatch.

source
SnoopCompile.invalidation_trees — Function
trees = invalidation_trees(list)

Parse list, as captured by SnoopCompileCore.@snoop_invalidations, into a set of invalidation trees, where parents nodes were called by their children.

Example

julia> f(x::Int)  = 1
+f (generic function with 1 method)
+
+julia> f(x::Bool) = 2
+f (generic function with 2 methods)
+
+julia> applyf(container) = f(container[1])
+applyf (generic function with 1 method)
+
+julia> callapplyf(container) = applyf(container)
+callapplyf (generic function with 1 method)
+
+julia> c = Any[1]
+1-element Array{Any,1}:
+ 1
+
+julia> callapplyf(c)
+1
+
+julia> trees = invalidation_trees(@snoop_invalidations f(::AbstractFloat) = 3)
+1-element Array{SnoopCompile.MethodInvalidations,1}:
+ inserting f(::AbstractFloat) in Main at REPL[36]:1 invalidated:
+   mt_backedges: 1: signature Tuple{typeof(f),Any} triggered MethodInstance for applyf(::Array{Any,1}) (1 children) more specific

See the documentation for further details.

source
SnoopCompile.precompile_blockers — Function
staletrees = precompile_blockers(invalidations, tinf::InferenceTimingNode)

Select just those invalidations that contribute to "stale nodes" in tinf, and link them together. This can allow one to identify specific blockers of precompilation for particular MethodInstances.

Example

using SnoopCompileCore
+invalidations = @snoop_invalidations using PkgA, PkgB;
+using SnoopCompile
+trees = invalidation_trees(invalidations)
+tinf = @snoop_inference begin
+    some_workload()
+end
+staletrees = precompile_blockers(trees, tinf)

In many cases, this reduces the number of invalidations that require analysis by one or more orders of magnitude.

Info

precompile_blockers is experimental and has not yet been thoroughly vetted by real-world use. Users are encouraged to try it and report any "misses" or unnecessary "hits."

source
SnoopCompile.filtermod — Function
modtrigs = filtermod(mod::Module, mtrigs::AbstractVector{MethodTriggers})

Select just the method-based triggers arising from a particular module.

source
thinned = filtermod(module, trees::AbstractVector{MethodInvalidations}; recursive=false)

Select just the cases of invalidating a method defined in module.

If recursive is false, only the roots of trees are examined (i.e., the proximal source of the invalidation must be in module). If recursive is true, then thinned contains all routes to a method in module.

source
SnoopCompile.findcaller — Function
methinvs = findcaller(method::Method, trees)

Find a path through trees that reaches method. Returns a single MethodInvalidations object.

Examples

Suppose you know that loading package SomePkg triggers invalidation of f(data). You can find the specific source of invalidation as follows:

f(data)                             # run once to force compilation
+m = @which f(data)
+using SnoopCompile
+trees = invalidation_trees(@snoop_invalidations using SomePkg)
+methinvs = findcaller(m, trees)

If you don't know which method to look for, but know some operation that has had added latency, you can look for methods using @snoopi. For example, suppose that loading SomePkg makes the next using statement slow. You can find the source of trouble with

julia> using SnoopCompile
+
+julia> trees = invalidation_trees(@snoop_invalidations using SomePkg);
+
+julia> tinf = @snoopi using SomePkg            # this second `using` will need to recompile code invalidated above
+1-element Array{Tuple{Float64,Core.MethodInstance},1}:
+ (0.08518409729003906, MethodInstance for require(::Module, ::Symbol))
+
+julia> m = tinf[1][2].def
+require(into::Module, mod::Symbol) in Base at loading.jl:887
+
+julia> findcaller(m, trees)
+inserting ==(x, y::SomeType) in SomeOtherPkg at /path/to/code:100 invalidated:
+   backedges: 1: superseding ==(x, y) in Base at operators.jl:83 with MethodInstance for ==(::Symbol, ::Any) (16 children) more specific
source
SnoopCompile.report_invalidations — Function
report_invalidations(
+    io::IO = stdout;
+    invalidations,
+    n_rows::Int = 10,
+    process_filename::Function = x -> x,
+)

Print a tabular summary of invalidations given:

and (optionally)

  • io::IO IO stream. Defaults to stdout
  • n_rows::Int the number of rows to be displayed in the truncated table. A value of 0 indicates no truncation. A positive value will truncate the table to the specified number of rows.
  • process_filename(::String)::String a function to post-process each filename, where invalidations are found

Example usage

import SnoopCompileCore
+invalidations = SnoopCompileCore.@snoop_invalidations begin
+
+    # load packages & define any additional methods
+
+end;
+
+using SnoopCompile
+using PrettyTables # to load report_invalidations
+report_invalidations(;invalidations)

Using report_invalidations requires that you first load the PrettyTables.jl package.

source

Analysis of @snoop_inference

SnoopCompile.flatten — Function
flatten(tinf; tmin = 0.0, sortby=exclusive)

Flatten the execution graph of InferenceTimingNodes returned from @snoop_inference into a Vector of InferenceTiming frames, each encoding the time needed for inference of a single MethodInstance. By default, results are sorted by exclusive time (the time for inferring the MethodInstance itself, not including any inference of its callees); other options are sortedby=inclusive which includes the time needed for the callees, or nothing to obtain them in the order they were inferred (depth-first order).

Example

We'll use SnoopCompile.flatten_demo, which runs @snoop_inference on a workload designed to yield reproducible results:

julia> tinf = SnoopCompile.flatten_demo()
+InferenceTimingNode: 0.002148974/0.002767166 on Core.Compiler.Timings.ROOT() with 1 direct children
+
+julia> using AbstractTrees; print_tree(tinf)
+InferenceTimingNode: 0.00242354/0.00303526 on Core.Compiler.Timings.ROOT() with 1 direct children
+└─ InferenceTimingNode: 0.000150891/0.000611721 on SnoopCompile.FlattenDemo.packintype(::Int64) with 2 direct children
+   ├─ InferenceTimingNode: 0.000105318/0.000105318 on SnoopCompile.FlattenDemo.MyType{Int64}(::Int64) with 0 direct children
+   └─ InferenceTimingNode: 9.43e-5/0.000355512 on SnoopCompile.FlattenDemo.dostuff(::SnoopCompile.FlattenDemo.MyType{Int64}) with 2 direct children
+      ├─ InferenceTimingNode: 6.6458e-5/0.000124716 on SnoopCompile.FlattenDemo.extract(::SnoopCompile.FlattenDemo.MyType{Int64}) with 2 direct children
+      │  ├─ InferenceTimingNode: 3.401e-5/3.401e-5 on getproperty(::SnoopCompile.FlattenDemo.MyType{Int64}, ::Symbol) with 0 direct children
+      │  └─ InferenceTimingNode: 2.4248e-5/2.4248e-5 on getproperty(::SnoopCompile.FlattenDemo.MyType{Int64}, x::Symbol) with 0 direct children
+      └─ InferenceTimingNode: 0.000136496/0.000136496 on SnoopCompile.FlattenDemo.domath(::Int64) with 0 direct children

Note the printing of getproperty(::SnoopCompile.FlattenDemo.MyType{Int64}, x::Symbol): it shows the specific Symbol, here :x, that getproperty was inferred with. This reflects constant-propagation in inference.

Then:

julia> flatten(tinf; sortby=nothing)
+8-element Vector{SnoopCompileCore.InferenceTiming}:
+ InferenceTiming: 0.002423543/0.0030352639999999998 on Core.Compiler.Timings.ROOT()
+ InferenceTiming: 0.000150891/0.0006117210000000001 on SnoopCompile.FlattenDemo.packintype(::Int64)
+ InferenceTiming: 0.000105318/0.000105318 on SnoopCompile.FlattenDemo.MyType{Int64}(::Int64)
+ InferenceTiming: 9.43e-5/0.00035551200000000005 on SnoopCompile.FlattenDemo.dostuff(::SnoopCompile.FlattenDemo.MyType{Int64})
+ InferenceTiming: 6.6458e-5/0.000124716 on SnoopCompile.FlattenDemo.extract(::SnoopCompile.FlattenDemo.MyType{Int64})
+ InferenceTiming: 3.401e-5/3.401e-5 on getproperty(::SnoopCompile.FlattenDemo.MyType{Int64}, ::Symbol)
+ InferenceTiming: 2.4248e-5/2.4248e-5 on getproperty(::SnoopCompile.FlattenDemo.MyType{Int64}, x::Symbol)
+ InferenceTiming: 0.000136496/0.000136496 on SnoopCompile.FlattenDemo.domath(::Int64)
julia> flatten(tinf; tmin=1e-4)                        # sorts by exclusive time (the time before the '/')
+4-element Vector{SnoopCompileCore.InferenceTiming}:
+ InferenceTiming: 0.000105318/0.000105318 on SnoopCompile.FlattenDemo.MyType{Int64}(::Int64)
+ InferenceTiming: 0.000136496/0.000136496 on SnoopCompile.FlattenDemo.domath(::Int64)
+ InferenceTiming: 0.000150891/0.0006117210000000001 on SnoopCompile.FlattenDemo.packintype(::Int64)
+ InferenceTiming: 0.002423543/0.0030352639999999998 on Core.Compiler.Timings.ROOT()
+
+julia> flatten(tinf; sortby=inclusive, tmin=1e-4)      # sorts by inclusive time (the time after the '/')
+6-element Vector{SnoopCompileCore.InferenceTiming}:
+ InferenceTiming: 0.000105318/0.000105318 on SnoopCompile.FlattenDemo.MyType{Int64}(::Int64)
+ InferenceTiming: 6.6458e-5/0.000124716 on SnoopCompile.FlattenDemo.extract(::SnoopCompile.FlattenDemo.MyType{Int64})
+ InferenceTiming: 0.000136496/0.000136496 on SnoopCompile.FlattenDemo.domath(::Int64)
+ InferenceTiming: 9.43e-5/0.00035551200000000005 on SnoopCompile.FlattenDemo.dostuff(::SnoopCompile.FlattenDemo.MyType{Int64})
+ InferenceTiming: 0.000150891/0.0006117210000000001 on SnoopCompile.FlattenDemo.packintype(::Int64)
+ InferenceTiming: 0.002423543/0.0030352639999999998 on Core.Compiler.Timings.ROOT()

As you can see, sortby affects not just the order but also the selection of frames; with exclusive times, dostuff did not on its own rise above threshold, but it does when using inclusive times.

See also: accumulate_by_source.

source
SnoopCompile.accumulate_by_source — Function
accumulate_by_source(flattened; tmin = 0.0, by=exclusive)

Add the inference timings for all MethodInstances of a single Method together. flattened is the output of flatten. Returns a list of (t, method) tuples.

When the accumulated time for a Method is large, but each instance is small, it indicates that it is being inferred for many specializations (which might include specializations with different constants).

Example

We'll use SnoopCompile.flatten_demo, which runs @snoop_inference on a workload designed to yield reproducible results:

julia> tinf = SnoopCompile.flatten_demo()
+InferenceTimingNode: 0.004978/0.005447 on Core.Compiler.Timings.ROOT() with 1 direct children
+
+julia> accumulate_by_source(flatten(tinf))
+7-element Vector{Tuple{Float64, Union{Method, Core.MethodInstance}}}:
+ (4.6294999999999996e-5, getproperty(x, f::Symbol) @ Base Base.jl:37)
+ (5.8965e-5, dostuff(y) @ SnoopCompile.FlattenDemo ~/.julia/dev/SnoopCompile/src/inference_demos.jl:45)
+ (6.4141e-5, extract(y::SnoopCompile.FlattenDemo.MyType) @ SnoopCompile.FlattenDemo ~/.julia/dev/SnoopCompile/src/inference_demos.jl:36)
+ (8.9997e-5, (var"#ctor-self#"::Type{SnoopCompile.FlattenDemo.MyType{T}} where T)(x) @ SnoopCompile.FlattenDemo ~/.julia/dev/SnoopCompile/src/inference_demos.jl:35)
+ (9.2256e-5, domath(x) @ SnoopCompile.FlattenDemo ~/.julia/dev/SnoopCompile/src/inference_demos.jl:41)
+ (0.000117514, packintype(x) @ SnoopCompile.FlattenDemo ~/.julia/dev/SnoopCompile/src/inference_demos.jl:37)
+ (0.004977755, ROOT() @ Core.Compiler.Timings compiler/typeinfer.jl:79)

Compared to the output from flatten, the two inferences passes on getproperty have been consolidated into a single aggregate call.

source
mtrigs = accumulate_by_source(Method, itrigs::AbstractVector{InferenceTrigger})

Consolidate inference triggers via their caller method. mtrigs is a vector of Method=>list pairs, where list is a list of InferenceTriggers.

source
loctrigs = accumulate_by_source(itrigs::AbstractVector{InferenceTrigger})

Aggregate inference triggers by location (function, file, and line number) of the caller.

Example

We collect data using the SnoopCompile.itrigs_demo:

julia> itrigs = inference_triggers(SnoopCompile.itrigs_demo())
+2-element Vector{InferenceTrigger}:
+ Inference triggered to call MethodInstance for double(::UInt8) from calldouble1 (/pathto/SnoopCompile/src/parcel_snoop_inference.jl:762) inlined into MethodInstance for calldouble2(::Vector{Vector{Any}}) (/pathto/SnoopCompile/src/parcel_snoop_inference.jl:763)
+ Inference triggered to call MethodInstance for double(::Float64) from calldouble1 (/pathto/SnoopCompile/src/parcel_snoop_inference.jl:762) inlined into MethodInstance for calldouble2(::Vector{Vector{Any}}) (/pathto/SnoopCompile/src/parcel_snoop_inference.jl:763)
+
+julia> accumulate_by_source(itrigs)
+1-element Vector{SnoopCompile.LocationTriggers}:
+    calldouble1 at /pathto/SnoopCompile/src/parcel_snoop_inference.jl:762 (2 callees from 1 callers)
source
SnoopCompile.collect_for — Function
list = collect_for(m::Method, tinf::InferenceTimingNode)
+list = collect_for(m::MethodInstance, tinf::InferenceTimingNode)

Collect all InferenceTimingNodes (descendants of tinf) that match m.

source
SnoopCompile.staleinstances — Function
staleinstances(tinf::InferenceTimingNode)

Return a list of InferenceTimingNodes corresponding to MethodInstances that have "stale" code (specifically, CodeInstances with outdated max_world world ages). These may be a hint that invalidation occurred while running the workload provided to @snoop_inference, and consequently an important origin of (re)inference.

Warning

staleinstances only looks retrospectively for stale code; it does not distinguish whether the code became stale while running @snoop_inference from whether it was already stale before execution commenced.

While staleinstances is recommended as a useful "sanity check" to run before performing a detailed analysis of inference, any serious examination of invalidation should use @snoop_invalidations.

For more information about world age, see https://docs.julialang.org/en/v1/manual/methods/#Redefining-Methods.

source
SnoopCompile.inference_triggers — Function
itrigs = inference_triggers(tinf::InferenceTimingNode; exclude_toplevel=true)

Collect the "triggers" of inference, each a fresh entry into inference via a call dispatched at runtime. All the entries in itrigs are previously uninferred, or are freshly-inferred for specific constant inputs.

exclude_toplevel determines whether calls made from the REPL, include, or test suites are excluded.

Example

We'll use SnoopCompile.itrigs_demo, which runs @snoop_inference on a workload designed to yield reproducible results:

julia> tinf = SnoopCompile.itrigs_demo()
+InferenceTimingNode: 0.004490576/0.004711168 on Core.Compiler.Timings.ROOT() with 2 direct children
+
+julia> itrigs = inference_triggers(tinf)
+2-element Vector{InferenceTrigger}:
+ Inference triggered to call MethodInstance for double(::UInt8) from calldouble1 (/pathto/SnoopCompile/src/inference_demos.jl:86) inlined into MethodInstance for calldouble2(::Vector{Vector{Any}}) (/pathto/SnoopCompile/src/inference_demos.jl:87)
+ Inference triggered to call MethodInstance for double(::Float64) from calldouble1 (/pathto/SnoopCompile/src/inference_demos.jl:86) inlined into MethodInstance for calldouble2(::Vector{Vector{Any}}) (/pathto/SnoopCompile/src/inference_demos.jl:87)
julia> edit(itrigs[1])     # opens an editor at the spot in the caller
+
+julia> using Cthulhu
+
+julia> ascend(itrigs[2])   # use Cthulhu to inspect the stacktrace (caller is the second item in the trace)
+Choose a call for analysis (q to quit):
+ >   double(::Float64)
+       calldouble1 at /pathto/SnoopCompile/src/inference_demos.jl:86 => calldouble2(::Vector{Vector{Any}}) at /pathto/SnoopCompile/src/inference_demos.jl:87
+         calleach(::Vector{Vector{Vector{Any}}}) at /pathto/SnoopCompile/src/inference_demos.jl:88
+...
source
SnoopCompile.trigger_tree — Function
root = trigger_tree(itrigs)

Organize inference triggers itrigs in tree format, grouping items via the call tree.

It is a tree rather than a more general graph due to the fact that caching inference results means that each node gets visited only once.

source
SnoopCompile.suggest — Function
suggest(itrig::InferenceTrigger)

Analyze itrig and attempt to suggest an interpretation or remedy. This returns a structure of type Suggested; the easiest thing to do with the result is to show it; however, you can also filter a list of suggestions.

Example

julia> itrigs = inference_triggers(tinf);
+
+julia> sugs = suggest.(itrigs);
+
+julia> sugs_important = filter(!isignorable, sugs)    # discard the ones that probably don't need to be addressed
Warning

Suggestions are approximate at best; most often, the proposed fixes should not be taken literally, but instead taken as a hint about the "outcome" of a particular runtime dispatch incident. The suggestions target calls made with non-inferrable argumets, but often the best place to fix the problem is at an earlier stage in the code, where the argument was first computed.

You can get much deeper insight via ascend (and Cthulhu generally), and even stacktrace is often useful. Suggestions are intended to be a quick and easier-to-comprehend first pass at analyzing an inference trigger.

source
SnoopCompile.callerinstance — Function
mi = callerinstance(itrig::InferenceTrigger)

Return the MethodInstance mi of the caller in the selected stackframe in itrig.

source
SnoopCompile.callingframe — Function
itrigcaller = callingframe(itrig::InferenceTrigger)

"Step out" one layer of the stacktrace, referencing the caller of the current frame of itrig.

You can retrieve the proximal trigger of inference with InferenceTrigger(itrigcaller).

Example

We collect data using the SnoopCompile.itrigs_demo:

julia> itrig = inference_triggers(SnoopCompile.itrigs_demo())[1]
+Inference triggered to call MethodInstance for double(::UInt8) from calldouble1 (/pathto/SnoopCompile/src/parcel_snoop_inference.jl:762) inlined into MethodInstance for calldouble2(::Vector{Vector{Any}}) (/pathto/SnoopCompile/src/parcel_snoop_inference.jl:763)
+
+julia> itrigcaller = callingframe(itrig)
+Inference triggered to call MethodInstance for double(::UInt8) from calleach (/pathto/SnoopCompile/src/parcel_snoop_inference.jl:764) with specialization MethodInstance for calleach(::Vector{Vector{Vector{Any}}})
source
SnoopCompile.skiphigherorder — Function
itrignew = skiphigherorder(itrig; exact::Bool=false)

Attempt to skip over frames of higher-order functions that take the callee as a function-argument. This can be useful if you're analyzing inference triggers for an entire package and would prefer to assign triggers to package-code rather than Base functions like map!, broadcast, etc.

Example

We collect data using the SnoopCompile.itrigs_higherorder_demo:

julia> itrig = inference_triggers(SnoopCompile.itrigs_higherorder_demo())[1]
+Inference triggered to call MethodInstance for double(::Float64) from mymap! (/pathto/SnoopCompile/src/parcel_snoop_inference.jl:706) with specialization MethodInstance for mymap!(::typeof(SnoopCompile.ItrigHigherOrderDemo.double), ::Vector{Any}, ::Vector{Any})
+
+julia> callingframe(itrig)      # step out one (non-inlined) frame
+Inference triggered to call MethodInstance for double(::Float64) from mymap (/pathto/SnoopCompile/src/parcel_snoop_inference.jl:710) with specialization MethodInstance for mymap(::typeof(SnoopCompile.ItrigHigherOrderDemo.double), ::Vector{Any})
+
+julia> skiphigherorder(itrig)   # step out to frame that doesn't have `double` as a function-argument
+Inference triggered to call MethodInstance for double(::Float64) from callmymap (/pathto/SnoopCompile/src/parcel_snoop_inference.jl:711) with specialization MethodInstance for callmymap(::Vector{Any})
Warn

By default skiphigherorder is conservative, and insists on being sure that it's the callee being passed to the higher-order function. Higher-order functions that do not get specialized (e.g., with ::Function argument types) will not be skipped over. You can pass exact=false to allow ::Function to also be passed over, but keep in mind that this may falsely skip some frames.

source
SnoopCompile.InferenceTrigger — Type
InferenceTrigger(callee::MethodInstance, callerframes::Vector{StackFrame}, btidx::Int, bt)

Organize information about the "triggers" of inference. callee is the MethodInstance requiring inference, callerframes, btidx and bt contain information about the caller. callerframes are the frame(s) of call site that triggered inference; it's a Vector{StackFrame}, rather than a single StackFrame, due to the possibility that the caller was inlined into something else, in which case the first entry is the direct caller and the last entry corresponds to the MethodInstance into which it was ultimately inlined. btidx is the index in bt, the backtrace collected upon entry into inference, corresponding to callerframes.

InferenceTriggers are created by calling inference_triggers. See also: callerinstance and callingframe.

source
SnoopCompile.runtime_inferencetime — Function
ridata = runtime_inferencetime(tinf::InferenceTimingNode; consts=true, by=inclusive)
+ridata = runtime_inferencetime(tinf::InferenceTimingNode, profiledata; lidict, consts=true, by=inclusive)

Compare runtime and inference-time on a per-method basis. ridata[m::Method] returns (trun, tinfer, nspecializations), measuring the approximate amount of time spent running m, inferring m, and the number of type-specializations, respectively. trun is estimated from profiling data, which the user is responsible for capturing before the call. Typically tinf is collected via @snoop_inference on the first call (in a fresh session) to a workload, and the profiling data collected on a subsequent call. In some cases you may need to repeat the workload several times to collect enough profiling samples.

profiledata and lidict are obtained from Profile.retrieve().

source
SnoopCompile.parcel — Function
ttot, pcs = SnoopCompile.parcel(tinf::InferenceTimingNode)

Parcel the "root-most" precompilable MethodInstances into separate modules. These can be used to generate precompile directives to cache the results of type-inference, reducing latency on first use.

Loosely speaking, and MethodInstance is precompilable if the module that owns the method also has access to all the types it need to precompile the instance. When the root node of an entrance to inference is not itself precompilable, parcel examines the children (and possibly, children's children...) until it finds the first node on each branch that is precompilable. MethodInstances are then assigned to the module that owns the method.

ttot is the total inference time; pcs is a list of module => (tmod, pclist) pairs. For each module, tmod is the amount of inference time affiliated with methods owned by that module; pclist is a list of (t, mi) time/MethodInstance tuples.

See also: SnoopCompile.write.

Example

We'll use SnoopCompile.itrigs_demo, which runs @snoop_inference on a workload designed to yield reproducible results:

julia> tinf = SnoopCompile.itrigs_demo()
+InferenceTimingNode: 0.004490576/0.004711168 on Core.Compiler.Timings.ROOT() with 2 direct children
+
+julia> ttot, pcs = SnoopCompile.parcel(tinf);
+
+julia> ttot
+0.000220592
+
+julia> pcs
+1-element Vector{Pair{Module, Tuple{Float64, Vector{Tuple{Float64, Core.MethodInstance}}}}}:
+ SnoopCompile.ItrigDemo => (0.000220592, [(9.8986e-5, MethodInstance for double(::Float64)), (0.000121606, MethodInstance for double(::UInt8))])

Since there was only one module, ttot is the same as tmod. The ItrigDemo module had two precomilable MethodInstances, each listed with its corresponding inclusive time.

source
modtrigs = SnoopCompile.parcel(mtrigs::AbstractVector{MethodTriggers})

Split method-based triggers into collections organized by the module in which the methods were defined. Returns a module => list vector, with the module having the most MethodTriggers last.

source
SnoopCompile.write — Function
write(prefix::AbstractString, pc::Dict; always::Bool = false)

Write each modules' precompiles to a separate file. If always is true, the generated function will always run the precompile statements when called, otherwise the statements will only be called during package precompilation.

source

Analysis of LLVM

SnoopCompile.read_snoop_llvm — Function
times, info = SnoopCompile.read_snoop_llvm("func_names.csv", "llvm_timings.yaml"; tmin_secs=0.0)

Reads the log file produced by the compiler and returns the structured representations.

The results will only contain modules that took longer than tmin_secs to optimize.

Return value

  • times contains the time spent optimizing each module, as a Pair from the time to an

array of Strings, one for every MethodInstance in that llvm module.

  • info is a Dict containing statistics for each MethodInstance encountered, from before

and after optimization, including number of instructions and number of basicblocks.

Example

julia> @snoop_llvm "func_names.csv" "llvm_timings.yaml" begin
+           using InteractiveUtils
+           @eval InteractiveUtils.peakflops()
+       end
+Launching new julia process to run commands...
+done.
+
+julia> times, info = SnoopCompile.read_snoop_llvm("func_names.csv", "llvm_timings.yaml", tmin_secs = 0.025);
+
+julia> times
+3-element Vector{Pair{Float64, Vector{String}}}:
+ 0.028170923 => ["Tuple{typeof(LinearAlgebra.copy_transpose!), Array{Float64, 2}, Base.UnitRange{Int64}, Base.UnitRange{Int64}, Array{Float64, 2}, Base.UnitRange{Int64}, Base.UnitRange{Int64}}"]
+ 0.031356962 => ["Tuple{typeof(Base.copyto!), Array{Float64, 2}, Base.UnitRange{Int64}, Base.UnitRange{Int64}, Array{Float64, 2}, Base.UnitRange{Int64}, Base.UnitRange{Int64}}"]
+ 0.149138788 => ["Tuple{typeof(LinearAlgebra._generic_matmatmul!), Array{Float64, 2}, Char, Char, Array{Float64, 2}, Array{Float64, 2}, LinearAlgebra.MulAddMul{true, true, Bool, Bool}}"]
+
+julia> info
+Dict{String, NamedTuple{(:before, :after), Tuple{NamedTuple{(:instructions, :basicblocks), Tuple{Int64, Int64}}, NamedTuple{(:instructions, :basicblocks), Tuple{Int64, Int64}}}}} with 3 entries:
+  "Tuple{typeof(LinearAlgebra.copy_transpose!), Ar… => (before = (instructions = 651, basicblocks = 83), after = (instructions = 348, basicblocks = 40…
+  "Tuple{typeof(Base.copyto!), Array{Float64, 2}, … => (before = (instructions = 617, basicblocks = 77), after = (instructions = 397, basicblocks = 37…
+  "Tuple{typeof(LinearAlgebra._generic_matmatmul!)… => (before = (instructions = 4796, basicblocks = 824), after = (instructions = 1421, basicblocks =…
source

Demos

SnoopCompile.flatten_demo — Function
tinf = SnoopCompile.flatten_demo()

A simple demonstration of @snoop_inference. This demo defines a module

module FlattenDemo
+    struct MyType{T} x::T end
+    extract(y::MyType) = y.x
+    function packintype(x)
+        y = MyType{Int}(x)
+        return dostuff(y)
+    end
+    function domath(x)
+        y = x + x
+        return y*x + 2*x + 5
+    end
+    dostuff(y) = domath(extract(y))
+end

It then "warms up" (forces inference on) all of Julia's Base methods needed for domath, to ensure that these MethodInstances do not need to be inferred when we collect the data. It then returns the results of

@snoop_inference FlattenDemo.packintypes(1)

See flatten for an example usage.

source
SnoopCompile.itrigs_demo — Function
tinf = SnoopCompile.itrigs_demo()

A simple demonstration of collecting inference triggers. This demo defines a module

module ItrigDemo
+@noinline double(x) = 2x
+@inline calldouble1(c) = double(c[1])
+calldouble2(cc) = calldouble1(cc[1])
+calleach(ccs) = (calldouble2(ccs[1]), calldouble2(ccs[2]))
+end

It then "warms up" (forces inference on) calldouble2(::Vector{Vector{Any}}), calldouble1(::Vector{Any}), double(::Int):

cc = [Any[1]]
+ItrigDemo.calleach([cc,cc])

Then it collects and returns inference data using

cc1, cc2 = [Any[0x01]], [Any[1.0]]
+@snoop_inference ItrigDemo.calleach([cc1, cc2])

This does not require any new inference for calldouble2 or calldouble1, but it does force inference on double with two new types. See inference_triggers to see what gets collected and returned.

source
SnoopCompile.itrigs_higherorder_demo — Function
tinf = SnoopCompile.itrigs_higherorder_demo()

A simple demonstration of handling higher-order methods with inference triggers. This demo defines a module

module ItrigHigherOrderDemo
+double(x) = 2x
+@noinline function mymap!(f, dst, src)
+    for i in eachindex(dst, src)
+        dst[i] = f(src[i])
+    end
+    return dst
+end
+@noinline mymap(f::F, src) where F = mymap!(f, Vector{Any}(undef, length(src)), src)
+callmymap(src) = mymap(double, src)
+end

The key feature of this set of definitions is that the function double gets passed as an argument through mymap and mymap! (the latter are higher-order functions).

It then "warms up" (forces inference on) callmymap(::Vector{Any}), mymap(::typeof(double), ::Vector{Any}), mymap!(::typeof(double), ::Vector{Any}, ::Vector{Any}) and double(::Int):

ItrigHigherOrderDemo.callmymap(Any[1, 2])

Then it collects and returns inference data using

@snoop_inference ItrigHigherOrderDemo.callmymap(Any[1.0, 2.0])

which forces inference for double(::Float64).

See skiphigherorder for an example using this demo.

source
diff --git a/previews/PR389/search_index.js b/previews/PR389/search_index.js new file mode 100644 index 000000000..bab419c6b --- /dev/null +++ b/previews/PR389/search_index.js @@ -0,0 +1,3 @@ +var documenterSearchIndex = {"docs": +[{"location":"tutorials/jet/#Tutorial-on-JET-integration","page":"Tutorial on JET integration","title":"Tutorial on JET integration","text":"","category":"section"},{"location":"tutorials/jet/","page":"Tutorial on JET integration","title":"Tutorial on JET integration","text":"JET is a powerful tool for analyzing call graphs. Some of its functionality overlaps that of SnoopCompile's, that is, JET also provides mechanisms to detect potential errors. Conversely, JET is a purely static-analysis tool and lacks SnoopCompile's ability to \"bridge\" across runtime dispatch. In summary, JET doesn't need Julia to restart to find inference failures, but JET will only find the first inference failure. SnoopCompile has to run in a fresh session, but finds all inference failures.","category":"page"},{"location":"tutorials/jet/","page":"Tutorial on JET integration","title":"Tutorial on JET integration","text":"For this reason, the combination of the tools provides capabilities that neither package has on its own. Specifically, one can use SnoopCompile to collect data on the callgraph and JET to perform the error analysis.","category":"page"},{"location":"tutorials/jet/","page":"Tutorial on JET integration","title":"Tutorial on JET integration","text":"The integration between the two packages is bundled into SnoopCompile, specifically report_callee, report_callees, and report_caller. These take InferenceTrigger (see the page on inference failures) and use them to generate JET reports.","category":"page"},{"location":"tutorials/jet/","page":"Tutorial on JET integration","title":"Tutorial on JET integration","text":"We can demonstrate both the need and use of these tools with a simple extended example.","category":"page"},{"location":"tutorials/jet/#JET-usage","page":"Tutorial on JET integration","title":"JET usage","text":"","category":"section"},{"location":"tutorials/jet/","page":"Tutorial on JET integration","title":"Tutorial on JET integration","text":"JET provides a useful report for the following call:","category":"page"},{"location":"tutorials/jet/","page":"Tutorial on JET integration","title":"Tutorial on JET integration","text":"julia> using JET\n\njulia> list = Any[1,2,3];\n\njulia> sum(list)\n6\n\njulia> @report_call sum(list)\n═════ 1 possible error found ═════\n┌ sum(a::Vector{Any}) @ Base ./reducedim.jl:1010\n│┌ sum(a::Vector{Any}; dims::Colon, kw::@Kwargs{}) @ Base ./reducedim.jl:1010\n││┌ _sum(a::Vector{Any}, ::Colon) @ Base ./reducedim.jl:1014\n│││┌ _sum(a::Vector{Any}, ::Colon; kw::@Kwargs{}) @ Base ./reducedim.jl:1014\n││││┌ _sum(f::typeof(identity), a::Vector{Any}, ::Colon) @ Base ./reducedim.jl:1015\n│││││┌ _sum(f::typeof(identity), a::Vector{Any}, ::Colon; kw::@Kwargs{}) @ Base ./reducedim.jl:1015\n││││││┌ mapreduce(f::typeof(identity), op::typeof(Base.add_sum), A::Vector{Any}) @ Base ./reducedim.jl:357\n│││││││┌ mapreduce(f::typeof(identity), op::typeof(Base.add_sum), A::Vector{Any}; dims::Colon, init::Base._InitialValue) @ Base ./reducedim.jl:357\n││││││││┌ _mapreduce_dim(f::typeof(identity), op::typeof(Base.add_sum), ::Base._InitialValue, A::Vector{Any}, ::Colon) @ Base ./reducedim.jl:365\n│││││││││┌ _mapreduce(f::typeof(identity), op::typeof(Base.add_sum), ::IndexLinear, A::Vector{Any}) @ Base ./reduce.jl:432\n││││││││││┌ mapreduce_empty_iter(f::typeof(identity), op::typeof(Base.add_sum), itr::Vector{Any}, ItrEltype::Base.HasEltype) @ Base ./reduce.jl:380\n│││││││││││┌ reduce_empty_iter(op::Base.MappingRF{typeof(identity), typeof(Base.add_sum)}, itr::Vector{Any}, ::Base.HasEltype) @ Base ./reduce.jl:384\n││││││││││││┌ reduce_empty(op::Base.MappingRF{typeof(identity), typeof(Base.add_sum)}, ::Type{Any}) @ Base ./reduce.jl:361\n│││││││││││││┌ mapreduce_empty(::typeof(identity), op::typeof(Base.add_sum), T::Type{Any}) @ Base ./reduce.jl:372\n││││││││││││││┌ reduce_empty(::typeof(Base.add_sum), ::Type{Any}) @ Base ./reduce.jl:352\n│││││││││││││││┌ reduce_empty(::typeof(+), ::Type{Any}) @ Base ./reduce.jl:343\n││││││││││││││││┌ zero(::Type{Any}) @ Base ./missing.jl:106\n│││││││││││││││││ MethodError: no method matching zero(::Type{Any}): Base.throw(Base.MethodError(zero, tuple(Base.Any)::Tuple{DataType})::MethodError)\n││││││││││││││││└────────────────────","category":"page"},{"location":"tutorials/jet/","page":"Tutorial on JET integration","title":"Tutorial on JET integration","text":"The final line reveals that while sum happened to work for the specific list we provided, it nevertheless has a \"gotcha\" for the types we supplied: if list happens to be empty, sum depends on the ability to generate zero(T) for the element-type T of list, but because we constructed list to have an element-type of Any, there is no such method and sum(Any[]) throws an error:","category":"page"},{"location":"tutorials/jet/","page":"Tutorial on JET integration","title":"Tutorial on JET integration","text":"julia> sum(Int[])\n0\n\njulia> sum(Any[])\nERROR: MethodError: no method matching zero(::Type{Any})\n[...]","category":"page"},{"location":"tutorials/jet/","page":"Tutorial on JET integration","title":"Tutorial on JET integration","text":"(This can be circumvented with sum(Any[]; init=0).)","category":"page"},{"location":"tutorials/jet/","page":"Tutorial on JET integration","title":"Tutorial on JET integration","text":"This is the kind of bug that can \"lurk\" undetected for a long time, and JET excels at exposing them.","category":"page"},{"location":"tutorials/jet/#JET-limitations","page":"Tutorial on JET integration","title":"JET limitations","text":"","category":"section"},{"location":"tutorials/jet/","page":"Tutorial on JET integration","title":"Tutorial on JET integration","text":"JET is a static analyzer, meaning that it works from the argument types provided, and that has an important consequence: if a particular callee can't be inferred, JET can't analyze it. We can illustrate that quite easily:","category":"page"},{"location":"tutorials/jet/","page":"Tutorial on JET integration","title":"Tutorial on JET integration","text":"julia> callsum(listcontainer) = sum(listcontainer[1])\ncallsum (generic function with 1 method)\n\njulia> lc = Any[list]; # \"hide\" `list` inside a Vector{Any}\n\njulia> callsum(lc)\n6\n\njulia> @report_call callsum(lc)\nNo errors detected","category":"page"},{"location":"tutorials/jet/","page":"Tutorial on JET integration","title":"Tutorial on JET integration","text":"Because we \"hid\" the type of list from inference, JET couldn't tell what specific instance of sum was going to be called, so it was unable to detect any errors.","category":"page"},{"location":"tutorials/jet/#JET/SnoopCompile-integration","page":"Tutorial on JET integration","title":"JET/SnoopCompile integration","text":"","category":"section"},{"location":"tutorials/jet/","page":"Tutorial on JET integration","title":"Tutorial on JET integration","text":"The resolution to this problem is to use SnoopCompile to do the \"data collection\" and JET to do the analysis. The key reason is that SnoopCompile is a dynamic analyzer, and is capable of bridging across runtime dispatch. As always, you need to do the data collection in a fresh session where the calls have not previously been inferred. After restarting Julia, we can do this:","category":"page"},{"location":"tutorials/jet/","page":"Tutorial on JET integration","title":"Tutorial on JET integration","text":"julia> using SnoopCompile, JET, Cthulhu\n\njulia> using JET # this is necessary to enable the integration\n\njulia> list = Any[1,2,3];\n\njulia> lc = Any[list]; # \"hide\" `list` inside a Vector{Any}\n\njulia> callsum(listcontainer) = sum(listcontainer[1]);\n\njulia> tinf = @snoop_inference callsum(lc)\nInferenceTimingNode: 0.039239/0.046793 on Core.Compiler.Timings.ROOT() with 2 direct children\n\njulia> tinf.children\n2-element Vector{SnoopCompileCore.InferenceTimingNode}:\n InferenceTimingNode: 0.000869/0.000869 on callsum(::Vector{Any}) with 0 direct children\n InferenceTimingNode: 0.000196/0.006685 on sum(::Vector{Any}) with 1 direct children\n\njulia> report_callees(inference_triggers(tinf))\n1-element Vector{Pair{InferenceTrigger, JET.JETCallResult{JET.JETAnalyzer{JET.BasicPass}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}}}:\n Inference triggered to call sum(::Vector{Any}) from callsum (./REPL[5]:1) with specialization callsum(::Vector{Any}) => ═════ 1 possible error found ═════\n┌ sum(a::Vector{Any}) @ Base ./reducedim.jl:1010\n│┌ sum(a::Vector{Any}; dims::Colon, kw::@Kwargs{}) @ Base ./reducedim.jl:1010\n││┌ _sum(a::Vector{Any}, ::Colon) @ Base ./reducedim.jl:1014\n│││┌ _sum(a::Vector{Any}, ::Colon; kw::@Kwargs{}) @ Base ./reducedim.jl:1014\n││││┌ _sum(f::typeof(identity), a::Vector{Any}, ::Colon) @ Base ./reducedim.jl:1015\n│││││┌ _sum(f::typeof(identity), a::Vector{Any}, ::Colon; kw::@Kwargs{}) @ Base ./reducedim.jl:1015\n││││││┌ mapreduce(f::typeof(identity), op::typeof(Base.add_sum), A::Vector{Any}) @ Base ./reducedim.jl:357\n│││││││┌ mapreduce(f::typeof(identity), op::typeof(Base.add_sum), A::Vector{Any}; dims::Colon, init::Base._InitialValue) @ Base ./reducedim.jl:357\n││││││││┌ _mapreduce_dim(f::typeof(identity), op::typeof(Base.add_sum), ::Base._InitialValue, A::Vector{Any}, ::Colon) @ Base ./reducedim.jl:365\n│││││││││┌ _mapreduce(f::typeof(identity), op::typeof(Base.add_sum), ::IndexLinear, A::Vector{Any}) @ Base ./reduce.jl:432\n││││││││││┌ mapreduce_empty_iter(f::typeof(identity), op::typeof(Base.add_sum), itr::Vector{Any}, ItrEltype::Base.HasEltype) @ Base ./reduce.jl:380\n│││││││││││┌ reduce_empty_iter(op::Base.MappingRF{typeof(identity), typeof(Base.add_sum)}, itr::Vector{Any}, ::Base.HasEltype) @ Base ./reduce.jl:384\n││││││││││││┌ reduce_empty(op::Base.MappingRF{typeof(identity), typeof(Base.add_sum)}, ::Type{Any}) @ Base ./reduce.jl:361\n│││││││││││││┌ mapreduce_empty(::typeof(identity), op::typeof(Base.add_sum), T::Type{Any}) @ Base ./reduce.jl:372\n││││││││││││││┌ reduce_empty(::typeof(Base.add_sum), ::Type{Any}) @ Base ./reduce.jl:352\n│││││││││││││││┌ reduce_empty(::typeof(+), ::Type{Any}) @ Base ./reduce.jl:343\n││││││││││││││││┌ zero(::Type{Any}) @ Base ./missing.jl:106\n│││││││││││││││││ MethodError: no method matching zero(::Type{Any}): Base.throw(Base.MethodError(zero, tuple(Base.Any)::Tuple{DataType})::MethodError)\n││││││││││││││││└────────────────────","category":"page"},{"location":"tutorials/jet/","page":"Tutorial on JET integration","title":"Tutorial on JET integration","text":"Because SnoopCompile collected the runtime-dispatched sum call, we can pass it to JET. report_callees filters those calls which generate JET reports, allowing you to focus on potential errors.","category":"page"},{"location":"tutorials/jet/","page":"Tutorial on JET integration","title":"Tutorial on JET integration","text":"note: Note\nJET integration is enabled only if JET.jl and Cthulhu.jl have been loaded into your main session. This is why there's the using JET, Cthulhu statement included in the example given.","category":"page"},{"location":"snoop_invalidations/#invalidations","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"","category":"section"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"compat: Compat\n@snoop_invalidations is available on Julia 1.6.0-DEV.154 or above, but the results can be relevant for all Julia versions.","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"Invalidations occur when there is a danger that new methods would supersede older methods in previously-compiled code. For safety, Julia's compiler invalidates that old code, marking it as unsuitable for use; the next time you call that method, it will have to be compiled again from scratch. (If no one ever needs that method again, there is no major loss.)","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"Some packages define new methods that force invalidation of previously-compiled code. If your package, or any of your dependencies, triggers many invalidations, it has several bad effects:","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"any invalidated methods you need for the functionality in your package will have to be recompiled. This will lead to a direct (and occasionally large) slowdown for your package.\ninvalidations by your dependencies (packages you rely on) can block precompilation of methods in your package, preventing you from taking advantage of some of the other features of SnoopCompile.\neven if you don't need the invalidated code for your package, any invalidations triggered by your package might harm packages that depend on yours.","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"For these reasons, it's advisable to begin by analyzing invalidations. On recent Julia versions, most packages do not trigger a large number of invalidations; often, all that is needed is a quick glance at invalidations before moving on to the next step. Occasionally, checking for invalidations can save you a lot of confusion and frustration at later steps, so it is well worth taking a look.","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"Readers who want more background and context are encouraged to read this blog post.","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"note: Note\nInvalidatons occur only for compiled code; method definitions themselves cannot be invalidated. As a consequence, it's possible to have latent invalidation risk; this risk can become exposed if you use some intermediate functionality before loading your package, or if your dependencies someday add precompile directives. So even if you've checked for invalidations previously, sometimes it's worth taking a fresh look.","category":"page"},{"location":"snoop_invalidations/#Recording-invalidations","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Recording invalidations","text":"","category":"section"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"DocTestFilters = r\"(in|@) [a-zA-Z0-9]* (REPL\\[\\d+\\]|none):\\d+\"\nDocTestSetup = quote\n using SnoopCompile\nend","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"To record the invalidations caused by defining new methods, use @snoop_invalidations. @snoop_invalidations is exported by SnoopCompile, but the recommended approach is to record invalidations using the minimalistic SnoopCompileCore package, and then load SnoopCompile to do the analysis. Remember to run julia with the --startup-file=\"no\" flag set, if you load packages such as Revise in your startup file. Otherwise invalidations relating to those packages will also show up.","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"using SnoopCompileCore\ninvalidations = @snoop_invalidations begin\n # package loads and/or method definitions that might invalidate other code\nend\nusing SnoopCompile # now that we've collected the data, load the complete package to analyze the results","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"note: Note\nSnoopCompileCore was split out from SnoopCompile to reduce the risk of invalidations from loading SnoopCompile itself. Once a MethodInstance gets invalidated, it doesn't show up in future @snoop_invalidations results, so anything that gets invalidated in order to provide @snoop_invalidations would be omitted from the results. SnoopCompileCore is a very small package with no dependencies and which avoids extending any of Julia's own functions, so it cannot invalidate any other code.","category":"page"},{"location":"snoop_invalidations/#Analyzing-invalidations","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Analyzing invalidations","text":"","category":"section"},{"location":"snoop_invalidations/#A-first-example","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"A first example","text":"","category":"section"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"We'll walk through this process with the following example:","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"julia> f(::Real) = 1;\n\njulia> callf(container) = f(container[1]);\n\njulia> call2f(container) = callf(container);","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"Because code doesn't get compiled until it gets run, and invalidations only affect compiled code, let's run this with three different container types:","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"julia> c64 = [1.0]; c32 = [1.0f0]; cabs = AbstractFloat[1.0]; # Vector{Float64}, Vector{Float32}, and Vector{AbstractFloat}, respectively\n\njulia> call2f(c64)\n1\n\njulia> call2f(c32)\n1\n\njulia> call2f(cabs)\n1","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"warning: Warning\nIf you're following along, be sure you actually execute these methods, or you won't obtain the results below.","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"Now we'll define a new f method, one specialized for Float64. So we can see the consequences for the compiled code, we'll make this definition while snooping on the compiler with @snoop_invalidations:","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"julia> using SnoopCompileCore\n\njulia> invalidations = @snoop_invalidations f(::Float64) = 2;","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"As should be apparent, running call2f on c64 should produce a different result than formerly, so Julia certainly needs to invalidate that code. Let's see what that looks like. The simplest thing we can do is list or count invalidations:","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"julia> using SnoopCompile\n\njulia> length(uinvalidated(invalidations)) # collect the unique MethodInstances & count them\n6","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"The length of this set is your simplest insight into the extent of invalidations triggered by this method definition.","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"If you want to fix invalidations, it's crucial to know why certain MethodInstances were invalidated. For that, it's best to use a tree structure, in which children are invalidated because their parents get invalidated:","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"julia> trees = invalidation_trees(invalidations)\n1-element Vector{SnoopCompile.MethodInvalidations}:\n inserting f(::Float64) @ Main none:1 invalidated:\n backedges: 1: superseding f(::Real) @ Main none:1 with MethodInstance for f(::Float64) (2 children)\n 2: superseding f(::Real) @ Main none:1 with MethodInstance for f(::AbstractFloat) (2 children)\n 1 mt_cache","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"The output, trees, is a vector of MethodInvalidations, a data type defined in SnoopCompile; each of these is the set of invalidations triggered by a particular method definition. In this case, we only defined one method, so we can get at most one MethodInvalidation. @snoop_invalidations using SomePkg might result in a list of such objects, each connected to a particular method defined in a particular package (either SomePkg itself or one of its dependencies).","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"In this case, \"inserting f(::Float64)\" indicates that we added a method with signature f(::Float64), and that this method triggered invalidations. (Invalidations can also be triggered by method deletion, although this should not happen in typical usage.) Next, notice the backedges line, and the fact that there are two items listed for it. This indicates that there were two proximal triggers for the invalidation, both of which superseded the method f(::Real). One of these had been compiled specifically for Float64, due to our call2f(c64). The other had been compiled specifically for AbstractFloat, due to our call2f(cabs).","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"You can look at these invalidation trees in greater detail:","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"julia> method_invalidations = trees[1]; # invalidations stemming from a single method\n\njulia> root = method_invalidations.backedges[1] # get the first triggered invalidation\nMethodInstance for f(::Float64) at depth 0 with 2 children\n\njulia> show(root)\nMethodInstance for f(::Float64) (2 children)\n MethodInstance for callf(::Vector{Float64}) (1 children)\n ⋮\n\njulia> show(root; minchildren=0)\nMethodInstance for f(::Float64) (2 children)\n MethodInstance for callf(::Vector{Float64}) (1 children)\n MethodInstance for call2f(::Vector{Float64}) (0 children)","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"The indentation here reveals that call2f called callf which called f, and shows the entire \"chain\" of invalidations triggered by this method definition. Examining root2 = method_invalidations.backedges[2] yields similar results, but for Vector{AbstractFloat}.","category":"page"},{"location":"snoop_invalidations/#mt_backedges-invalidations","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"mt_backedges invalidations","text":"","category":"section"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"MethodInvalidations can have a second field, mt_backedges. These are invalidations triggered via the MethodTable for a particular function. When extracting mt_backedges, in addition to a root MethodInstance these also indicate a particular signature that triggered the invalidation. We can illustrate this by returning to the call2f example above:","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"julia> call2f([\"hello\"])\nERROR: MethodError: no method matching f(::String)\n[...]\n\njulia> invalidations = @snoop_invalidations f(::AbstractString) = 2;\n\njulia> trees = invalidation_trees(invalidations)\n1-element Vector{SnoopCompile.MethodInvalidations}:\n inserting f(::AbstractString) @ Main none:1 invalidated:\n mt_backedges: 1: signature Tuple{typeof(f), String} triggered MethodInstance for callf(::Vector{String}) (1 children)\n\n\njulia> sig, root = trees[1].mt_backedges[end];\n\njulia> sig\nTuple{typeof(f), String}\n\njulia> root\nMethodInstance for callf(::Vector{String}) at depth 0 with 1 children","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"You can see that the invalidating signature, f(::String), is more specific than the signature of the defined method, but that it is what was minimally needed by callf(::Vector{String}).","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"mt_backedges invalidations often reflect \"unhandled\" conditions in methods that have already been compiled.","category":"page"},{"location":"snoop_invalidations/#A-more-complex-example","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"A more complex example","text":"","category":"section"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"The structure of these trees can be considerably more complicated. For example, if callf also got called by some other method, and that method had also been executed (forcing it to be compiled), then callf would have multiple children. This is often seen with more complex, real-world tests. As a medium-complexity example, try the following:","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"info: Info\nAny demonstration involving real-world packages might be altered from what is shown here by new releases of the relevant packages.","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"julia> using Revise\n\njulia> using SnoopCompileCore\n\njulia> invalidations = @snoop_invalidations using FillArrays;\n\njulia> using SnoopCompile\n\njulia> trees = invalidation_trees(invalidations)\n3-element Vector{SnoopCompile.MethodInvalidations}:\n inserting all(f::Function, x::FillArrays.AbstractFill) in FillArrays at /pathto/.julia/packages/FillArrays/NjFh2/src/FillArrays.jl:556 invalidated:\n backedges: 1: superseding all(f::Function, a::AbstractArray; dims) in Base at reducedim.jl:880 with MethodInstance for all(::Base.var\"#388#389\"{_A} where _A, ::AbstractArray) (3 children)\n 2: superseding all(f, itr) in Base at reduce.jl:918 with MethodInstance for all(::Base.var\"#388#389\"{_A} where _A, ::Any) (3 children)\n\n inserting any(f::Function, x::FillArrays.AbstractFill) in FillArrays at /pathto/.julia/packages/FillArrays/NjFh2/src/FillArrays.jl:555 invalidated:\n backedges: 1: superseding any(f::Function, a::AbstractArray; dims) in Base at reducedim.jl:877 with MethodInstance for any(::typeof(ismissing), ::AbstractArray) (1 children)\n 2: superseding any(f, itr) in Base at reduce.jl:871 with MethodInstance for any(::typeof(ismissing), ::Any) (1 children)\n 3: superseding any(f, itr) in Base at reduce.jl:871 with MethodInstance for any(::LoweredCodeUtils.var\"#11#12\"{_A} where _A, ::Any) (2 children)\n 4: superseding any(f::Function, a::AbstractArray; dims) in Base at reducedim.jl:877 with MethodInstance for any(::LoweredCodeUtils.var\"#11#12\"{_A} where _A, ::AbstractArray) (4 children)\n\n inserting broadcasted(::Base.Broadcast.DefaultArrayStyle{N}, op, r::FillArrays.AbstractFill{T,N,Axes} where Axes) where {T, N} in FillArrays at /pathto/.julia/packages/FillArrays/NjFh2/src/fillbroadcast.jl:8 invalidated:\n backedges: 1: superseding broadcasted(::S, f, args...) where S<:Base.Broadcast.BroadcastStyle in Base.Broadcast at broadcast.jl:1265 with MethodInstance for broadcasted(::Base.Broadcast.BroadcastStyle, ::typeof(JuliaInterpreter._Typeof), ::Any) (1 children)\n 2: superseding broadcasted(::S, f, args...) where S<:Base.Broadcast.BroadcastStyle in Base.Broadcast at broadcast.jl:1265 with MethodInstance for broadcasted(::Base.Broadcast.BroadcastStyle, ::typeof(string), ::AbstractArray) (177 children)","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"Your specific results may differ from this, depending on which version of Julia and of packages you are using. In this case, you can see that three methods (one for all, one for any, and one for broadcasted) triggered invalidations. Perusing this list, you can see that methods in Base, LoweredCodeUtils, and JuliaInterpreter (the latter two were loaded by Revise) got invalidated by methods defined in FillArrays.","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"The most consequential ones (the ones with the most children) are listed last, and should be where you direct your attention first. That last entry looks particularly problematic, so let's extract it:","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"julia> methinvs = trees[end];\n\njulia> root = methinvs.backedges[end]\nMethodInstance for broadcasted(::Base.Broadcast.BroadcastStyle, ::typeof(string), ::AbstractArray) at depth 0 with 177 children\n\njulia> show(root; maxdepth=10)\nMethodInstance for broadcasted(::Base.Broadcast.BroadcastStyle, ::typeof(string), ::AbstractArray) (177 children)\n MethodInstance for broadcasted(::typeof(string), ::AbstractArray) (176 children)\n MethodInstance for #unpack#104(::Bool, ::typeof(Pkg.PlatformEngines.unpack), ::String, ::String) (175 children)\n MethodInstance for (::Pkg.PlatformEngines.var\"#unpack##kw\")(::NamedTuple{(:verbose,),Tuple{Bool}}, ::typeof(Pkg.PlatformEngines.unpack), ::String, ::String) (174 children)\n MethodInstance for #download_verify_unpack#109(::Nothing, ::Bool, ::Bool, ::Bool, ::Bool, ::typeof(Pkg.PlatformEngines.download_verify_unpack), ::String, ::Nothing, ::String) (165 children)\n MethodInstance for (::Pkg.PlatformEngines.var\"#download_verify_unpack##kw\")(::NamedTuple{(:ignore_existence, :verbose),Tuple{Bool,Bool}}, ::typeof(Pkg.PlatformEngines.download_verify_unpack), ::String, ::Nothing, ::String) (33 children)\n MethodInstance for (::Pkg.Artifacts.var\"#39#40\"{Bool,String,Nothing})(::String) (32 children)\n MethodInstance for create_artifact(::Pkg.Artifacts.var\"#39#40\"{Bool,String,Nothing}) (31 children)\n MethodInstance for #download_artifact#38(::Bool, ::Bool, ::typeof(Pkg.Artifacts.download_artifact), ::Base.SHA1, ::String, ::Nothing) (30 children)\n MethodInstance for (::Pkg.Artifacts.var\"#download_artifact##kw\")(::NamedTuple{(:verbose, :quiet_download),Tuple{Bool,Bool}}, ::typeof(Pkg.Artifacts.download_artifact), ::Base.SHA1, ::String, ::Nothing) (23 children)\n MethodInstance for (::Pkg.Artifacts.var\"#download_artifact##kw\")(::NamedTuple{(:verbose, :quiet_download),Tuple{Bool,Bool}}, ::typeof(Pkg.Artifacts.download_artifact), ::Base.SHA1, ::String) (22 children)\n ⋮\n ⋮\n MethodInstance for (::Pkg.PlatformEngines.var\"#download_verify_unpack##kw\")(::NamedTuple{(:ignore_existence,),Tuple{Bool}}, ::typeof(Pkg.PlatformEngines.download_verify_unpack), ::String, ::Nothing, ::String) (130 children)\n MethodInstance for (::Pkg.Types.var\"#94#97\"{Pkg.Types.Context,String,Pkg.Types.RegistrySpec})(::String) (116 children)\n MethodInstance for #mktempdir#21(::String, ::typeof(mktempdir), ::Pkg.Types.var\"#94#97\"{Pkg.Types.Context,String,Pkg.Types.RegistrySpec}, ::String) (115 children)\n MethodInstance for mktempdir(::Pkg.Types.var\"#94#97\"{Pkg.Types.Context,String,Pkg.Types.RegistrySpec}, ::String) (114 children)\n MethodInstance for mktempdir(::Pkg.Types.var\"#94#97\"{Pkg.Types.Context,String,Pkg.Types.RegistrySpec}) (113 children)\n MethodInstance for clone_or_cp_registries(::Pkg.Types.Context, ::Vector{Pkg.Types.RegistrySpec}, ::String) (112 children)\n ⋮\n ⋮\n ⋮","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"Here you can see a much more complex branching structure. From this, you can see that methods in Pkg are the most significantly affected; you could expect that loading FillArrays might slow down your next Pkg operation (perhaps depending on which operation you choose) executed in this same session.","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"Again, if you're following along, it's possible that you'll see something quite different, if subsequent development has protected Pkg against this form of invalidation.","category":"page"},{"location":"snoop_invalidations/#Filtering-invalidations","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Filtering invalidations","text":"","category":"section"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"info: Info\nThe experimental tool SnoopCompile.precompile_blockers may be able to help you identify just the invalidations you need to fix for your use-case.","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"Some method definitions trigger widespread invalidation. If you don't have time to fix all of them, you might want to focus on a specific set of invalidations. For instance, you might be the author of PkgA and you've noted that loading PkgB invalidates a lot of PkgA's code. In that case, you might want to find just those invalidations triggered in your package. You can find them with filtermod:","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"trees = invalidation_trees(@snoop_invalidations using PkgB)\nftrees = filtermod(PkgA, trees)","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"By default, filtermod only selects trees where the root method was defined in the specified module. filtermod(PkgA, trees; recursive=true) will return all trees that lead to any method defined in PkgA.","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"A more selective yet exhaustive tool is findcaller, which allows you to find the path through the trees to a particular method:","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"m = @which f(data) # look for the \"path\" that invalidates this method\nf(data) # run once to force compilation\nusing SnoopCompile\ntrees = invalidation_trees(@snoop_invalidations using SomePkg)\ninvs = findcaller(m, trees) # select the branch that invalidated a compiled instance of `m`","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"When you don't know which method to choose, but know an operation that got slowed down by loading SomePkg, you can use @snoopi to find methods that needed to be recompiled. See findcaller for further details.","category":"page"},{"location":"snoop_invalidations/#Fixing-invalidations","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Fixing invalidations","text":"","category":"section"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"In addition to the text below, there is a video illustrating many of the same package features. The video also walks through a real-world example fixing invalidations that stemmed from inference problems in some of Pkg's code.","category":"page"},{"location":"snoop_invalidations/#ascend","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"ascend","text":"","category":"section"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"SnoopCompile, partnering with the remarkable Cthulhu.jl, provides a tool called ascend to simplify diagnosing and fixing invalidations. To demonstrate this tool, let's use it on our test methods defined above. For best results, you'll want to copy those method definitions into a file:","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"f(::Real) = 1\ncallf(container) = f(container[1])\ncall2f(container) = callf(container)\n\nc64 = [1.0]; c32 = [1.0f0]; cabs = AbstractFloat[1.0];\ncall2f(c64)\ncall2f(c32)\ncall2f(cabs)\n\nusing SnoopCompileCore\ninvalidations = @snoop_invalidations f(::Float64) = 2\nusing SnoopCompile\ntrees = invalidation_trees(invalidations)\nmethod_invalidations = trees[1]","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"and include it into a fresh session. (The full functionality of ascend doesn't work for methods defined at the REPL, but does if the methods are defined in a file.) In this demo, I called that file /tmp/snoop_invalidations.jl.","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"We start with","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"julia> root = method_invalidations.backedges[end]\nMethodInstance for f(::AbstractFloat) at depth 0 with 2 children","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"(It's common to start from the last element of backedges or mt_backedges since these have the largest number of children and are therefore most consequential.) Then:","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"julia> ascend(root)\nChoose a call for analysis (q to quit):\n > f(::AbstractFloat)\n callf(::Vector{AbstractFloat})\n call2f(::Vector{AbstractFloat})","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"This is an interactive menu: press the down arrow to go down, the up arrow to go up, and Enter to select an item for more detailed analysis. In large trees, you may also want to \"fold\" nodes of the tree (collapsing it so that the children are no longer displayed), particularly if you are working your way through a long series of invalidations and want to hide ones you've already dealt with. You toggle folding using the space bar, and folded nodes are printed with a + in front of them.","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"For example, if we press the down arrow once, we get","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"julia> ascend(root)\nChoose a call for analysis (q to quit):\n f(::AbstractFloat)\n > callf(::Vector{AbstractFloat})\n call2f(::Vector{AbstractFloat})","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"Now hit Enter to select it:","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"Choose caller of MethodInstance for f(::AbstractFloat) or proceed to typed code:\n > \"/tmp/snoop_invalidations.jl\", callf: lines [2]\n Browse typed code","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"This is showing you another menu, with only two options (a third is to go back by hitting q). The first entry shows you the option to open the \"offending\" source file in callf at the position of the call to the parent node of callf, which in this case is f. (Sometimes there will be more than one call to the parent within the method, in which case instead of showing [1] it might show [1, 17, 39] indicating each separate location.) Selecting this option, when available, is typically the best way to start because you can sometimes resolve the problem just by inspection of the source.","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"If you hit the down arrow","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"Choose caller of MethodInstance for f(::AbstractFloat) or proceed to typed code:\n \"/tmp/snoop_invalidations.jl\", callf: lines [2]\n > Browse typed code","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"and then hit Enter, this is what you see:","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"│ ─ %-1 = invoke callf(::Vector{AbstractFloat})::Int64\nVariables\n #self#::Core.Const(callf, false)\n container::Vector{AbstractFloat}\n\nBody::Int64\n @ /tmp/snoop_invalidations.jl:2 within `callf'\n1 ─ %1 = Base.getindex(container, 1)::AbstractFloat\n│ %2 = Main.f(%1)::Int64\n└── return %2\n\nSelect a call to descend into or ↩ to ascend. [q]uit. [b]ookmark.\nToggles: [o]ptimize, [w]arn, [d]ebuginfo, [s]yntax highlight for Source/LLVM/Native.\nShow: [S]ource code, [A]ST, [L]LVM IR, [N]ative code\nAdvanced: dump [P]arams cache.\n\n • %1 = invoke getindex(::Vector{AbstractFloat},::Int64)::AbstractFloat\n %2 = call #f(::AbstractFloat)::Int64\n ↩","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"This is output from Cthulhu, and you should see its documentation for more information. (See also this video.) While it takes a bit of time to master Cthulhu, it is an exceptionally powerful tool for diagnosing and fixing inference issues.","category":"page"},{"location":"snoop_invalidations/#\"Dead-ends\":-finding-runtime-callers-with-MethodAnalysis","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"\"Dead ends\": finding runtime callers with MethodAnalysis","text":"","category":"section"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"When a call is made by runtime dispatch and the world of available methods to handle the call does not narrow the types beyond what is known to the caller, the call-chain terminates. Here is a real-world example (one that may already be \"fixed\" by the time you read this) from analyzing invalidations triggered by specializing Base.unsafe_convert(::Type{Ptr{T}}, ::Base.RefValue{S}) for specific types S and T:","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"julia> ascend(root)\nChoose a call for analysis (q to quit):\n > unsafe_convert(::Type{Ptr{Nothing}}, ::Base.RefValue{_A} where _A)\n _show_default(::IOBuffer, ::Any)\n show_default(::IOBuffer, ::Function)\n show_function(::IOBuffer, ::Function, ::Bool)\n print(::IOBuffer, ::Function)\n show_default(::IOBuffer, ::ProcessFailedException)\n show(::IOBuffer, ::ProcessFailedException)\n print(::IOBuffer, ::ProcessFailedException)\n show_default(::IOBuffer, ::Sockets.IPAddr)\n show(::IOBuffer, ::Sockets.IPAddr)","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"Unfortunately for our investigations, none of these \"top level\" callers have defined backedges. (Overall, it's very fortunate that they don't, in that runtime dispatch without backedges avoids any need to invalidate the caller; the alternative would be extremely long chains of completely unnecessary invalidation, which would have many undesirable consequences.)","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"If you want to fix such \"short chains\" of invalidation, one strategy is to identify callers by brute force search enabled by the MethodAnalysis.jl package. For example, one can discover the caller of show(::IOBuffer, ::Sockets.IPAddr) with","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"using MethodAnalysis # best from a fresh Julia session\nmis = methodinstances(); # collect all *existing* MethodInstances (any future compilation will be ignored)\n# Create a predicate that finds these argument types\nusing Sockets\nargmatch(typs) = length(typs) >= 2 && typs[1] === IOBuffer && typs[2] === Sockets.IPAddr\n# Find any callers\ncallers = findcallers(show, argmatch, mis)","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"which yields a single hit in print(::IOBuffer, ::IPAddr). This too lacks any backedges, so a second application findcallers(print, argmatch, mis) links to print_to_string(::IPAddr). This MethodInstance has a backedge to string(::IPAddr), which has backedges to the method Distributed.connect_to_worker(host::AbstractString, port::Integer). A bit of digging shows that this calls Sockets.getaddrinfo to look up an IP address, and this is inferred to return an IPAddr but the concrete type is unknown. A potential fix for this situation is described below.","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"This does not always work; for example, trying something similar for ProcessExitedException fails, likely because the call was made with even less type information. We might be able to find it with a more general predicate, for example","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"argmatch(typs) = length(typs) >= 2 && typs[1] === IOBuffer && ProcessExitedException <: typs[2]","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"but this returns a lot of candidates and it is difficult to guess which of these might be the culprit(s). Finally, findcallers only detects method calls that are \"hard-wired\" into type-inferred code; if the call we're seeking was made from toplevel, or if the function itself was a runtime variable, there is no hope that findcallers will detect it.","category":"page"},{"location":"snoop_invalidations/#Tips-for-fixing-invalidations","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Tips for fixing invalidations","text":"","category":"section"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"Invalidations occur in situations like our call2f(c64) example, where we changed our mind about what value f should return for Float64. Julia could not have returned the newly-correct answer without recompiling the call chain.","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"Aside from cases like these, most invalidations occur whenever new types are introduced, and some methods were previously compiled for abstract types. In some cases, this is inevitable, and the resulting invalidations simply need to be accepted as a consequence of a dynamic, updatable language. (As recommended above, you can often minimize invalidations by loading all your code at the beginning of your session, before triggering the compilation of more methods.) However, in many circumstances an invalidation indicates an opportunity to improve code. In our first example, note that the call call2f(c32) did not get invalidated: this is because the compiler knew all the specific types, and new methods did not affect any of those types. The main tips for writing invalidation-resistant code are:","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"use concrete types wherever possible\nwrite inferrable code\ndon't engage in type-piracy (our c64 example is essentially like type-piracy, where we redefined behavior for a pre-existing type)","category":"page"},{"location":"snoop_invalidations/","page":"Snooping on and fixing invalidations: @snoop_invalidations","title":"Snooping on and fixing invalidations: @snoop_invalidations","text":"Since these tips also improve performance and allow programs to behave more predictably, these guidelines are not intrusive. Indeed, searching for and eliminating invalidations can help you improve the quality of your code.","category":"page"},{"location":"tutorials/snoop_inference/#Tutorial-on-@snoop_inference","page":"Tutorial on @snoop_inference","title":"Tutorial on @snoop_inference","text":"","category":"section"},{"location":"tutorials/snoop_inference/","page":"Tutorial on @snoop_inference","title":"Tutorial on @snoop_inference","text":"Inference may occur when you run code. Inference is the first step of type-specialized compilation. @snoop_inference collects data on what inference is doing, giving you greater insight into what is being inferred and how long it takes.","category":"page"},{"location":"tutorials/snoop_inference/","page":"Tutorial on @snoop_inference","title":"Tutorial on @snoop_inference","text":"Compilation is needed only for \"fresh\" code; running the demos below on code you've already used will yield misleading results. When analyzing inference, you're advised to always start from a fresh session. See also the comparison between SnoopCompile and JET.","category":"page"},{"location":"tutorials/snoop_inference/#Add-SnoopCompileCore,-SnoopCompile,-and-helper-packages-to-your-environment","page":"Tutorial on @snoop_inference","title":"Add SnoopCompileCore, SnoopCompile, and helper packages to your environment","text":"","category":"section"},{"location":"tutorials/snoop_inference/","page":"Tutorial on @snoop_inference","title":"Tutorial on @snoop_inference","text":"Here, we'll add these packages to your default environment. (With the exception of AbstractTrees, these \"developer tool\" packages should not be added to the Project file of any real packages unless you're extending the tool itself.)","category":"page"},{"location":"tutorials/snoop_inference/","page":"Tutorial on @snoop_inference","title":"Tutorial on @snoop_inference","text":"using Pkg\nPkg.add([\"SnoopCompileCore\", \"SnoopCompile\", \"AbstractTrees\", \"ProfileView\"]);","category":"page"},{"location":"tutorials/snoop_inference/#Setting-up-the-demo","page":"Tutorial on @snoop_inference","title":"Setting up the demo","text":"","category":"section"},{"location":"tutorials/snoop_inference/","page":"Tutorial on @snoop_inference","title":"Tutorial on @snoop_inference","text":"To see @snoop_inference in action, we'll use the following demo:","category":"page"},{"location":"tutorials/snoop_inference/","page":"Tutorial on @snoop_inference","title":"Tutorial on @snoop_inference","text":"module FlattenDemo\n struct MyType{T} x::T end\n\n extract(y::MyType) = y.x\n\n function domath(x)\n y = x + x\n return y*x + 2*x + 5\n end\n\n dostuff(y) = domath(extract(y))\n\n function packintype(x)\n y = MyType{Int}(x)\n return dostuff(y)\n end\nend\n\n# output\n\nFlattenDemo","category":"page"},{"location":"tutorials/snoop_inference/","page":"Tutorial on @snoop_inference","title":"Tutorial on @snoop_inference","text":"The main call, packintype, stores the input in a struct, and then calls functions that extract the field value and performs arithmetic on the result.","category":"page"},{"location":"tutorials/snoop_inference/#sccshow","page":"Tutorial on @snoop_inference","title":"Collecting the data","text":"","category":"section"},{"location":"tutorials/snoop_inference/","page":"Tutorial on @snoop_inference","title":"Tutorial on @snoop_inference","text":"To profile inference on this call, do the following:","category":"page"},{"location":"tutorials/snoop_inference/","page":"Tutorial on @snoop_inference","title":"Tutorial on @snoop_inference","text":"julia> using SnoopCompileCore\n\njulia> tinf = @snoop_inference FlattenDemo.packintype(1);\n\njulia> using SnoopCompile\n\njulia> tinf\nInferenceTimingNode: 0.002712/0.003278 on Core.Compiler.Timings.ROOT() with 1 direct children","category":"page"},{"location":"tutorials/snoop_inference/","page":"Tutorial on @snoop_inference","title":"Tutorial on @snoop_inference","text":"tip: Tip\nDon't omit the semicolon on the tinf = @snoop_inference ... line, or you may get an enormous amount of output. The compact display on the final line is possible only because SnoopCompile defines nice Base.show methods for the data returned by @snoop_inference. These methods cannot be defined in SnoopCompileCore because it has a fundamental design constraint: loading SnoopCompileCore is not allowed to invalidate any code. Moving those Base.show methods to SnoopCompileCore would violate that guarantee.","category":"page"},{"location":"tutorials/snoop_inference/","page":"Tutorial on @snoop_inference","title":"Tutorial on @snoop_inference","text":"This may not look like much, but there's a wealth of information hidden inside tinf.","category":"page"},{"location":"tutorials/snoop_inference/#A-quick-check-for-potential-invalidations","page":"Tutorial on @snoop_inference","title":"A quick check for potential invalidations","text":"","category":"section"},{"location":"tutorials/snoop_inference/","page":"Tutorial on @snoop_inference","title":"Tutorial on @snoop_inference","text":"After running @snoop_inference, it's generally recommended to check the output of staleinstances:","category":"page"},{"location":"tutorials/snoop_inference/","page":"Tutorial on @snoop_inference","title":"Tutorial on @snoop_inference","text":"julia> staleinstances(tinf)\nSnoopCompileCore.InferenceTiming[]","category":"page"},{"location":"tutorials/snoop_inference/","page":"Tutorial on @snoop_inference","title":"Tutorial on @snoop_inference","text":"If you see this, all's well. A non-empty list might indicate method invalidations, which can be checked (in a fresh session) using the tools described in Tutorial on @snoop_invalidations.","category":"page"},{"location":"tutorials/snoop_inference/","page":"Tutorial on @snoop_inference","title":"Tutorial on @snoop_inference","text":"If you do have a lot of invalidations, precompile_blockers may be an effective way to reveal those invalidations that affect your particular package and workload.","category":"page"},{"location":"tutorials/snoop_inference/#flamegraph","page":"Tutorial on @snoop_inference","title":"Viewing the results","text":"","category":"section"},{"location":"tutorials/snoop_inference/","page":"Tutorial on @snoop_inference","title":"Tutorial on @snoop_inference","text":"Let's start unpacking the output of @snoop_inference and see how to get more insight. First, notice that the output is an InferenceTimingNode: it's the root element of a tree of such nodes, all connected by caller-callee relationships. Indeed, this particular node is for Core.Compiler.Timings.ROOT(), a \"dummy\" node that is the root of all such trees.","category":"page"},{"location":"tutorials/snoop_inference/","page":"Tutorial on @snoop_inference","title":"Tutorial on @snoop_inference","text":"You may have noticed that this ROOT node prints with two numbers. It will be easier to understand their meaning if we first display the whole tree. We can do that with the AbstractTrees package:","category":"page"},{"location":"tutorials/snoop_inference/","page":"Tutorial on @snoop_inference","title":"Tutorial on @snoop_inference","text":"julia> using AbstractTrees\n\njulia> print_tree(tinf)\nInferenceTimingNode: 0.002712/0.003278 on Core.Compiler.Timings.ROOT() with 1 direct children\n└─ InferenceTimingNode: 0.000133/0.000566 on FlattenDemo.packintype(::Int64) with 2 direct children\n ├─ InferenceTimingNode: 0.000094/0.000094 on FlattenDemo.MyType{Int64}(::Int64) with 0 direct children\n └─ InferenceTimingNode: 0.000089/0.000339 on FlattenDemo.dostuff(::FlattenDemo.MyType{Int64}) with 2 direct children\n ├─ InferenceTimingNode: 0.000064/0.000122 on FlattenDemo.extract(::FlattenDemo.MyType{Int64}) with 2 direct children\n │ ├─ InferenceTimingNode: 0.000034/0.000034 on getproperty(::FlattenDemo.MyType{Int64}, ::Symbol) with 0 direct children\n │ └─ InferenceTimingNode: 0.000024/0.000024 on getproperty(::FlattenDemo.MyType{Int64}, x::Symbol) with 0 direct children\n └─ InferenceTimingNode: 0.000127/0.000127 on FlattenDemo.domath(::Int64) with 0 direct children","category":"page"},{"location":"tutorials/snoop_inference/","page":"Tutorial on @snoop_inference","title":"Tutorial on @snoop_inference","text":"This tree structure reveals the caller-callee relationships, showing the specific types that were used for each MethodInstance. Indeed, as the calls to getproperty reveal, it goes beyond the types and even shows the results of constant propagation; the getproperty(::MyType{Int64}, x::Symbol) corresponds to y.x in the definition of extract.","category":"page"},{"location":"tutorials/snoop_inference/","page":"Tutorial on @snoop_inference","title":"Tutorial on @snoop_inference","text":"note: Note\nGenerally we speak of call graphs rather than call trees. But because inference results are cached (a.k.a., we only \"visit\" each node once), we obtain a tree as a depth-first-search of the full call graph.","category":"page"},{"location":"tutorials/snoop_inference/","page":"Tutorial on @snoop_inference","title":"Tutorial on @snoop_inference","text":"You can extract the MethodInstance with","category":"page"},{"location":"tutorials/snoop_inference/","page":"Tutorial on @snoop_inference","title":"Tutorial on @snoop_inference","text":"julia> Core.MethodInstance(tinf)\nMethodInstance for Core.Compiler.Timings.ROOT()\n\njulia> Core.MethodInstance(tinf.children[1])\nMethodInstance for FlattenDemo.packintype(::Int64)","category":"page"},{"location":"tutorials/snoop_inference/","page":"Tutorial on @snoop_inference","title":"Tutorial on @snoop_inference","text":"Each node in this tree is accompanied by a pair of numbers. The first number is the exclusive inference time (in seconds), meaning the time spent inferring the particular MethodInstance, not including the time spent inferring its callees. The second number is the inclusive time, which is the exclusive time plus the time spent on the callees. Therefore, the inclusive time is always at least as large as the exclusive time.","category":"page"},{"location":"tutorials/snoop_inference/","page":"Tutorial on @snoop_inference","title":"Tutorial on @snoop_inference","text":"The ROOT node is a bit different: its exclusive time measures the time spent on all operations except inference. In this case, we see that the entire call took approximately 10ms, of which 9.3ms was spent on activities besides inference. Almost all of that was code-generation, but it also includes the time needed to run the code. Just 0.76ms was needed to run type-inference on this entire series of calls. As you will quickly discover, inference takes much more time on more complicated code.","category":"page"},{"location":"tutorials/snoop_inference/","page":"Tutorial on @snoop_inference","title":"Tutorial on @snoop_inference","text":"We can also display this tree as a flame graph, using the ProfileView.jl package:","category":"page"},{"location":"tutorials/snoop_inference/","page":"Tutorial on @snoop_inference","title":"Tutorial on @snoop_inference","text":"julia> fg = flamegraph(tinf)\nNode(FlameGraphs.NodeData(ROOT() at typeinfer.jl:75, 0x00, 0:10080857))","category":"page"},{"location":"tutorials/snoop_inference/","page":"Tutorial on @snoop_inference","title":"Tutorial on @snoop_inference","text":"julia> using ProfileView\n\njulia> ProfileView.view(fg)","category":"page"},{"location":"tutorials/snoop_inference/","page":"Tutorial on @snoop_inference","title":"Tutorial on @snoop_inference","text":"You should see something like this:","category":"page"},{"location":"tutorials/snoop_inference/","page":"Tutorial on @snoop_inference","title":"Tutorial on @snoop_inference","text":"(Image: flamegraph)","category":"page"},{"location":"tutorials/snoop_inference/","page":"Tutorial on @snoop_inference","title":"Tutorial on @snoop_inference","text":"Users are encouraged to read the ProfileView documentation to understand how to interpret this, but briefly:","category":"page"},{"location":"tutorials/snoop_inference/","page":"Tutorial on @snoop_inference","title":"Tutorial on @snoop_inference","text":"the horizontal axis is time (wide boxes take longer than narrow ones), the vertical axis is call depth\nhovering over a box displays the method that was inferred\nleft-clicking on a box causes the full MethodInstance to be printed in your REPL session\nright-clicking on a box opens the corresponding method in your editor\nctrl-click can be used to zoom in\nempty horizontal spaces correspond to activities other than type-inference\nany boxes colored red (there are none in this particular example, but you'll see some later) correspond to non-precompilable MethodInstances, in which the method is owned by one module but the types are from another unrelated module.\nany boxes colored orange-yellow (there is one in this demo) correspond to methods inferred for specific constants (constant propagation)","category":"page"},{"location":"tutorials/snoop_inference/","page":"Tutorial on @snoop_inference","title":"Tutorial on @snoop_inference","text":"You can explore this flamegraph and compare it to the output from print_tree.","category":"page"},{"location":"tutorials/snoop_inference/","page":"Tutorial on @snoop_inference","title":"Tutorial on @snoop_inference","text":"Finally, flatten, on its own or together with accumulate_by_source, allows you to get an sense for the cost of individual MethodInstances or Methods.","category":"page"},{"location":"tutorials/snoop_inference/","page":"Tutorial on @snoop_inference","title":"Tutorial on @snoop_inference","text":"The tools here allow you to get an overview of where inference is spending its time. This gives you insight into the major contributors to latency.","category":"page"},{"location":"explanations/tools/#Package-roles-and-alternatives","page":"Package roles and alternatives","title":"Package roles and alternatives","text":"","category":"section"},{"location":"explanations/tools/#SnoopCompile","page":"Package roles and alternatives","title":"SnoopCompile","text":"","category":"section"},{"location":"explanations/tools/","page":"Package roles and alternatives","title":"Package roles and alternatives","text":"SnoopCompileCore is a tiny package with no dependencies; it's used for collecting data, and it has been designed in such a way that it cannot cause any invalidations of its own. Collecting data on invalidations and inference with SnoopCompileCore is the only way you can be sure you are observing the \"native state\" of your code.","category":"page"},{"location":"explanations/tools/#SnoopCompile-2","page":"Package roles and alternatives","title":"SnoopCompile","text":"","category":"section"},{"location":"explanations/tools/","page":"Package roles and alternatives","title":"Package roles and alternatives","text":"SnoopCompile is a much larger package that performs analysis on the data collected by SnoopCompileCore; loading SnoopCompile can (and does) trigger invalidations. Consequently, you're urged to always collect data with just SnoopCompileCore loaded, and wait to load SnoopCompile until after you've finished collecting the data.","category":"page"},{"location":"explanations/tools/#Cthulhu","page":"Package roles and alternatives","title":"Cthulhu","text":"","category":"section"},{"location":"explanations/tools/","page":"Package roles and alternatives","title":"Package roles and alternatives","text":"Cthulhu is a companion package that gives deep insights into the origin of invalidations or inference failures.","category":"page"},{"location":"explanations/tools/#AbstractTrees","page":"Package roles and alternatives","title":"AbstractTrees","text":"","category":"section"},{"location":"explanations/tools/","page":"Package roles and alternatives","title":"Package roles and alternatives","text":"AbstractTrees is the one package in this list that can be both a \"workhorse\" and a developer tool. SnoopCompile uses it mostly for pretty-printing.","category":"page"},{"location":"explanations/tools/#JET","page":"Package roles and alternatives","title":"JET","text":"","category":"section"},{"location":"explanations/tools/","page":"Package roles and alternatives","title":"Package roles and alternatives","text":"JET is a powerful developer tool that in some ways is an alternative to SnoopCompile. While the two have different goals, the packages have some overlap in what they can tell you about your code. However, their mechanisms of action are fundamentally different:","category":"page"},{"location":"explanations/tools/","page":"Package roles and alternatives","title":"Package roles and alternatives","text":"JET is a \"static analyzer,\" which means that it analyzes the code itself. JET can tell you about inference failures (runtime dispatch) much like SnoopCompile, with a major advantage: SnoopCompileCore omits information about any callees that are already compiled, but JET's @report_opt provides exhaustive information about the entire inferable callgraph (i.e., the part of the callgraph that inference can predict from the initial call) regardless of whether it has been previously compiled. With JET, you don't have to remember to run each analysis in a fresh session.\nSnoopCompileCore collects data by watching normal inference at work. On code that hasn't been compiled previously, this can yield results similar to JET's, with a different major advantage: JET can't \"see through\" runtime dispatch, but SnoopCompileCore can. With SnoopCompile, you can immediately get a wholistic view of your entire callgraph.","category":"page"},{"location":"explanations/tools/","page":"Package roles and alternatives","title":"Package roles and alternatives","text":"Combining JET and SnoopCompile can provide insights that are difficult to obtain with either package in isolation. See the Tutorial on JET integration.","category":"page"},{"location":"snoopi/#macro-snoopi","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"","category":"section"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"If you can't use @snoop_inference due to Julia version constraints, the most useful choice is @snoopi, which is available on Julia 1.2 or higher.","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"Julia can cache inference results, so you can use @snoopi to generate precompile directives for your package. Executing these directives when the package is compiled may reduce compilation (inference) time when the package is used.","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"Here's a quick demo:","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"using SnoopCompile\n\na = rand(Float16, 5)\n\njulia> inf_timing = @snoopi sum(a)\n1-element Array{Tuple{Float64,Core.MethodInstance},1}:\n (0.011293888092041016, MethodInstance for sum(::Array{Float16,1}))","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"We defined the argument a, and then called sum(a) while \"snooping\" on inference. (The i in @snoopi means \"inference.\") The return is a list of \"top level\" methods that got compiled, together with the amount of time spent on inference. In this case it was just a single method, which required approximately 11ms of inference time. (Inferring sum required inferring all the methods that it calls, but these are subsumed into the top level inference of sum itself.) Note that the method that got called,","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"julia> @which sum(a)\nsum(a::AbstractArray) in Base at reducedim.jl:652","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"is much more general (i.e., defined for AbstractArray) than the MethodInstance (defined for Array{Float16,1}). This is because precompilation requires the types of the arguments to specialize the code appropriately.","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"The information obtained from @snoopi can be used in several ways, primarily to reduce latency during usage of your package:","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"to help you understand which calls take the most inference time\nto help you write precompile directives that run inference on specific calls during package precompilation, so that you don't pay this cost repeatedly each time you use the package\nto help you identify inference problems that prevent successful or comprehensive precompilation","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"If you're starting a project to try to reduce latency in your package, broadly speaking there are two paths you can take:","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"you can use SnoopCompile, perhaps together with CompileBot, to automatically generate lists of precompile directives that may reduce latency;\nyou can use SnoopCompile primarily as an analysis tool, and then intervene manually to reduce latency.","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"Beginners often leap at option 1, but experience shows there are good reasons to consider option 2. To avoid introducing too much complexity early on, we'll defer this discussion to the end of this page, but readers who are serious about reducing latency should be sure to read Understanding precompilation and its limitations.","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"note: Note\nBecause invalidations can prevent effective precompilation, developers analyzing their packages with @snoopi are encouraged to use Julia versions (1.6 and higher) that have a lower risk of invalidations in Base and the standard library.","category":"page"},{"location":"snoopi/#pcscripts","page":"Snooping on inference: @snoopi","title":"Precompile scripts","text":"","category":"section"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"You can use @snoopi to come up with a list of precompile-worthy functions. A recommended approach is to write a script that \"exercises\" the functionality you'd like to precompile. One option is to use your package's \"runtests.jl\" file, or you can write a custom script for this purpose. Here's an example for the FixedPointNumbers package:","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"using FixedPointNumbers\n\nx = N0f8(0.2)\ny = x + x\ny = x - x\ny = x*x\ny = x/x\ny = Float32(x)\ny = Float64(x)\ny = 0.3*x\ny = x*0.3\ny = 2*x\ny = x*2\ny = x/15\ny = x/8.0","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"Save this as a file \"snoopfpn.jl\" and navigate at the Julia REPL to that directory, and then do","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"julia> using SnoopCompile\n\njulia> inf_timing = @snoopi tmin=0.01 include(\"snoopfpn.jl\")\n2-element Array{Tuple{Float64,Core.MethodInstance},1}:\n (0.03108978271484375, MethodInstance for *(::Normed{UInt8,8}, ::Normed{UInt8,8}))\n (0.04189491271972656, MethodInstance for Normed{UInt8,8}(::Float64))","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"Here, note the tmin=0.01, which causes any methods that take less than 10ms of inference time to be discarded.","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"note: Note\nIf you're testing this, you might get different results depending on the speed of your machine. Moreover, if FixedPointNumbers has already precompiled these method and type combinations–-perhaps by incorporating a precompile file produced by SnoopCompile–-then those methods will be absent. For packages whose precompile directives are executed only when ccall(:jl_generating_output, Cint, ()) == 1, you can start Julia with --compiled-modules=no to disable them. Alternatively, you can dev the package and comment them out.","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"You can inspect these results and write your own precompile file, or use the automated tools provided by SnoopCompile.","category":"page"},{"location":"snoopi/#auto","page":"Snooping on inference: @snoopi","title":"Producing precompile directives automatically","text":"","category":"section"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"You can take the output of @snoopi and \"parcel\" it into packages:","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"julia> pc = SnoopCompile.parcel(inf_timing)\nDict{Symbol,Array{String,1}} with 1 entry:\n :FixedPointNumbers => [\"precompile(Tuple{typeof(*),Normed{UInt8,8},Normed{UInt8,8}})\", \"precompile(Tuple{Type{Normed{UInt8,8}},Float64})\"]","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"This splits the calls up into a dictionary, pc, indexed by the package which \"owns\" each call. (In this case there is only one, FixedPointNumbers, but in more complex cases there may be several.) You can then write the results to files:","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"julia> SnoopCompile.write(\"/tmp/precompile\", pc)","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"If you look in the /tmp/precompile directory, you'll see one or more files, named by their parent package, that may be suitable for includeing into the package. In this case:","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"/tmp/precompile$ cat precompile_FixedPointNumbers.jl\nfunction _precompile_()\n ccall(:jl_generating_output, Cint, ()) == 1 || return nothing\n precompile(Tuple{typeof(*),Normed{UInt8,8},Normed{UInt8,8}})\n precompile(Tuple{Type{Normed{UInt8,8}},Float64})\nend","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"If you copy this file to a precompile.jl file in the src directory, you can incorporate it into the package like this:","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"module FixedPointNumbers\n\n# All the usual commands that define the module go here\n\n# ... followed by:\n\ninclude(\"precompile.jl\")\n_precompile_()\n\nend # module FixedPointNumbers","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"The listed method/type combinations should have their inference results cached. Load the package once to precompile it, and then in a fresh Julia session try this:","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"julia> using SnoopCompile\n\njulia> inf_timing = @snoopi tmin=0.01 include(\"snoopfpn.jl\")\n0-element Array{Tuple{Float64,Core.MethodInstance},1}","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"The fact that no methods were returned is a sign of success: Julia didn't need to call inference on those methods, because it used the inference results from the cache file.","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"note: Note\nSometimes, @snoopi will show method & type combinations that you precompiled. This is a sign that despite your attempts, Julia declined to cache the inference results for those methods. You can either delete those directives from the precompile file, or hope that they will become useful in a future version of Julia. Note that having many \"useless\" precompile directives can slow down precompilation.","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"note: Note\nAs you develop your package, it's possible you'll modify or delete some of the methods that appear in your \"precompile.jl\" file. This will not result in an error; by default precompile fails silently. If you want to be certain that your precompile directives don't go stale, you can check that precompile returns true and otherwise issue a warning. By default, SnoopCompile.write generates a macro, @warnpcfail, and you can use it by changing precompile(args...) to @warnpcfail precompile(args...).","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"If you find that some precompile directives are ineffective (they appear in a new @snoopi despite being precompiled) and their inference time is substantial, sometimes a bit of manual investigation of the callees can lead to insights. For example, you might be able to introduce a precompile in a dependent package that can mitigate the total time. (@snoop_inference makes the analysis and resolution of these issues more straightforward.)","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"tip: Tip\nFor packages that support just Julia 1.6 and higher, you may be able to slim down the precompile file by adding has_bodyfunction=true to the arguments for parcel. This setting applies for all packges in inf_timing, so you may need to call parcel twice (with both false and true) and select the appropriate precompile file for each package.","category":"page"},{"location":"snoopi/#Producing-precompile-directives-manually","page":"Snooping on inference: @snoopi","title":"Producing precompile directives manually","text":"","category":"section"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"While this \"automated\" approach is often useful, sometimes it makes more sense to inspect the results and write your own precompile directives. For example, for FixedPointNumbers a more elegant and comprehensive precompile file might be","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"function _precompile_()\n ccall(:jl_generating_output, Cint, ()) == 1 || return nothing\n for T in (N0f8, N0f16) # Normed types we want to support\n for f in (+, -, *, /) # operations we want to support\n precompile(Tuple{typeof(f),T,T})\n for S in (Float32, Float64, Int) # other number types we want to support\n precompile(Tuple{typeof(f),T,S})\n precompile(Tuple{typeof(f),S,T})\n end\n end\n for S in (Float32, Float64)\n precompile(Tuple{Type{T},S})\n precompile(Tuple{Type{S},T})\n end\n end\nend","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"This covers +, -, *, /, and conversion for various combinations of types. The results from @snoopi can suggest method/type combinations that might be useful to precompile, but often you can generalize its suggestions in useful ways.","category":"page"},{"location":"snoopi/#Analyzing-omitted-methods","page":"Snooping on inference: @snoopi","title":"Analyzing omitted methods","text":"","category":"section"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"There are some method signatures that cannot be precompiled. For example, suppose you have two packages, A and B, that are independent of one another. Then A.f([B.Object(1)]) cannot be precompiled, because A does not know about B.Object, and B does not know about A.f, unless both A and B get included into a third package.","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"Such problematic method signatures are removed automatically. If you want to be informed about these removals, you can use Julia's logging framework while running parcel:","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"julia> using Base.CoreLogging\n\njulia> logger = SimpleLogger(IOBuffer(), CoreLogging.Debug);\n\njulia> pc = with_logger(logger) do\n SnoopCompile.parcel(inf_timing)\n end\n\njulia> msgs = String(take!(logger.stream))","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"The omitted method signatures will be logged to the string msgs.","category":"page"},{"location":"snoopi/#Understanding-precompilation-and-its-limitations","page":"Snooping on inference: @snoopi","title":"Understanding precompilation and its limitations","text":"","category":"section"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"Suppose your package includes the following method:","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"\"\"\"\n idx = index_midsum(a)\n\nReturn the index of the first item more than \"halfway to the cumulative sum,\"\nmeaning the smallest integer so that `sum(a[begin:idx]) >= sum(a)/2`.\n\"\"\"\nfunction index_midsum(a::AbstractVector)\n ca = cumsum(vcat(0, a)) # cumulative sum of items in a, starting from 0\n s = ca[end] # the sum of all elements\n return findfirst(x->x >= s/2, ca) - 1 # compensate for inserting 0\nend","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"Now, suppose that you'd like to reduce latency in using this method, and you know that an important use case is when a is a Vector{Int}. Therefore, you might precompile it:","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"julia> precompile(index_midsum, (Vector{Int},))\ntrue","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"This will cause Julia to infer this method for the given argument types. If you add such statements to your package, it potentially saves your users from having to wait for it to be inferred each time they use your package.","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"note: Note\nThe true indicates that Julia was successfully able to find a method supporting this signature and precompile it. See the note about @warnpcfail above for ways to exploit this in your package.","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"But if you execute these lines in the REPL, and then check how well it worked, you might see something like the following:","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"julia> using SnoopCompile\n\njulia> tinf = @snoopi index_midsum([1,2,3,4,100])\n3-element Vector{Tuple{Float64, Core.MethodInstance}}:\n (0.00048613548278808594, MethodInstance for cat_similar(::Int64, ::Type, ::Tuple{Int64}))\n (0.010090827941894531, MethodInstance for (::Base.var\"#cat_t##kw\")(::NamedTuple{(:dims,), Tuple{Val{1}}}, ::typeof(Base.cat_t), ::Type{Int64}, ::Int64, ::Vararg{Any, N} where N))\n (0.016659975051879883, MethodInstance for __cat(::Vector{Int64}, ::Tuple{Int64}, ::Tuple{Bool}, ::Int64, ::Vararg{Any, N} where N))","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"Even though we'd already said precompile(index_midsum, (Vector{Int},)) in this session, somehow we needed more inference of various concatenation methods. Why does this happen? A detailed investigation (e.g., using Cthulhu or @code_warntype) would reveal that vcat(0, a) is not inferrable \"all the way down,\" and hence the precompile directive couldn't predict everything that was going to be needed.","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"No problem, you say: let's just precompile those methods too. The most expensive is the last one. You might not know where __cat is defined, but you can find out with","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"julia> mi = tinf[end][2] # get the MethodInstance\nMethodInstance for __cat(::Vector{Int64}, ::Tuple{Int64}, ::Tuple{Bool}, ::Int64, ::Vararg{Any, N} where N)\n\njulia> mi.def # get the Method\n__cat(A, shape::Tuple{Vararg{Int64, M}}, catdims, X...) where M in Base at abstractarray.jl:1599\n\njulia> mi.def.module # which module was this method defined in?\nBase","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"note: Note\nWhen using @snoopi you might sometimes see entries like MethodInstance for (::SomeModule.var\"#10#12\"{SomeType})(::AnotherModule.AnotherType). These typically correspond to closures/anonymous functions defined with -> or do blocks, but it may not be immediately obvious where these come from. mi.def will show you the file/line number that these are defined on. You can either convert them into named functions to make them easier to precompile, or you can fix inference problems that prevent automatic precompilation (as illustrated below).","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"Armed with this knowledge, let's start a fresh session (so that nothing is precompiled yet), and in addition to defining index_midsum and precompiling it, we also execute","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"julia> precompile(Base.__cat, (Vector{Int64}, Tuple{Int64}, Tuple{Bool}, Int, Vararg{Any, N} where N))\ntrue","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"Now if you try that tinf = @snoopi index_midsum([1,2,3,4,100]) line, you'll see that the __cat call is omitted, suggesting success.","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"However, if you copy both precompile directives into your package source files and then check it with @snoopi again, you may be in for a rude surprise: the __cat precompile directive doesn't \"work.\" That turns out to be because your package doesn't \"own\" that __cat method–the module is Base rather than YourPackage–and because inference cannot determine that it's needed by by index_midsum(::Vector{Int}), Julia doesn't know which *.ji file to use to store its precompiled form.","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"How to fix this? Fundamentally, the problem is that vcat call: if we can write index_midsum in a way so that inference succeeds, then all these problems go away. (You can use ascend(mi), with Cthulhu.jl, where mi was obtained above, to discover that __cat gets called from vcat. See Cthulhu.ascend for more information.) It turns out that vcat is inferrable if all the arguments have the same type, so just changing vcat(0, a) to vcat([zero(eltype(a))], a) fixes the problem. (Alternatively, you could make a copy and then use pushfirst!.) In a fresh Julia session:","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"function index_midsum(a::AbstractVector)\n ca = cumsum(vcat([zero(eltype(a))], a)) # cumulative sum of items in a, starting from 0\n s = ca[end] # the sum of all elements\n return findfirst(x->x >= s/2, ca) - 1 # compensate for inserting 0\nend\n\njulia> precompile(index_midsum, (Vector{Int},))\ntrue\n\njulia> using SnoopCompile\n\njulia> tinf = @snoopi index_midsum([1,2,3,4,100])\nTuple{Float64, Core.MethodInstance}[]","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"Tada! No additional inference was needed, ensuring that your users will not suffer any latency due to type-inference of this particular method/argument combination. In addition to identifing a call deserving of precompilation, @snoopi helped us identify a weakness in its implementation. Fixing that weakness reduced latency, made the code more resistant to invalidation, and may improve runtime performance.","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"In other cases, manual inspection of the results from @snoopi may lead you in a different direction: you may discover that a huge number of specializations are being created for a method that doesn't need them. Typical examples are methods that take types or functions as inputs: for example, there is no reason to recompile methods(f) for each separate f. In such cases, by far your best option is to add @nospecialize annotations to one or more of the arguments of that method. Such changes can have dramatic impact on the latency of your package.","category":"page"},{"location":"snoopi/","page":"Snooping on inference: @snoopi","title":"Snooping on inference: @snoopi","text":"The ability to make interventions like these–which can both reduce latency and improve runtime speed–is a major reason to consider @snoopi primarily as an analysis tool rather than just a utility to blindly generate lists of precompile directives.","category":"page"},{"location":"explanations/fixing_inference/#Techniques-for-fixing-inference-problems","page":"Techniques for fixing inference problems","title":"Techniques for fixing inference problems","text":"","category":"section"},{"location":"explanations/fixing_inference/","page":"Techniques for fixing inference problems","title":"Techniques for fixing inference problems","text":"Here we assume you've dug into your code with a tool like Cthulhu, and want to know how to fix some of the problems that you discover. Below is a collection of specific cases and some tricks for handling them.","category":"page"},{"location":"explanations/fixing_inference/","page":"Techniques for fixing inference problems","title":"Techniques for fixing inference problems","text":"Note that there is also a tutorial on fixing inference that delves into advanced topics.","category":"page"},{"location":"explanations/fixing_inference/#Adding-type-annotations","page":"Techniques for fixing inference problems","title":"Adding type annotations","text":"","category":"section"},{"location":"explanations/fixing_inference/#Using-concrete-types","page":"Techniques for fixing inference problems","title":"Using concrete types","text":"","category":"section"},{"location":"explanations/fixing_inference/","page":"Techniques for fixing inference problems","title":"Techniques for fixing inference problems","text":"Defining variables like list = [] can be convenient, but it creates a list of type Vector{Any}. This prevents inference from knowing the type of items extracted from list. Using list = String[] for a container of strings, etc., is an excellent fix. When in doubt, check the type with isconcretetype: a common mistake is to think that list_of_lists = Array{Int}[] gives you a vector-of-vectors, but","category":"page"},{"location":"explanations/fixing_inference/","page":"Techniques for fixing inference problems","title":"Techniques for fixing inference problems","text":"julia> isconcretetype(Array{Int})\nfalse","category":"page"},{"location":"explanations/fixing_inference/","page":"Techniques for fixing inference problems","title":"Techniques for fixing inference problems","text":"reminds you that Array requires a second parameter indicating the dimensionality of the array. (Or use list_of_lists = Vector{Int}[] instead, as Vector{Int} === Array{Int, 1}.)","category":"page"},{"location":"explanations/fixing_inference/","page":"Techniques for fixing inference problems","title":"Techniques for fixing inference problems","text":"Many valuable tips can be found among Julia's performance tips, and readers are encouraged to consult that page.","category":"page"},{"location":"explanations/fixing_inference/#Working-with-non-concrete-types","page":"Techniques for fixing inference problems","title":"Working with non-concrete types","text":"","category":"section"},{"location":"explanations/fixing_inference/","page":"Techniques for fixing inference problems","title":"Techniques for fixing inference problems","text":"In cases where invalidations occur, but you can't use concrete types (there are indeed many valid uses of Vector{Any}), you can often prevent the invalidation using some additional knowledge. One common example is extracting information from an IOContext structure, which is roughly defined as","category":"page"},{"location":"explanations/fixing_inference/","page":"Techniques for fixing inference problems","title":"Techniques for fixing inference problems","text":"struct IOContext{IO_t <: IO} <: AbstractPipe\n io::IO_t\n dict::ImmutableDict{Symbol, Any}\nend","category":"page"},{"location":"explanations/fixing_inference/","page":"Techniques for fixing inference problems","title":"Techniques for fixing inference problems","text":"There are good reasons that dict uses a value-type of Any, but that makes it impossible for the compiler to infer the type of any object looked up in an IOContext. Fortunately, you can help! For example, the documentation specifies that the :color setting should be a Bool, and since it appears in documentation it's something we can safely enforce. Changing","category":"page"},{"location":"explanations/fixing_inference/","page":"Techniques for fixing inference problems","title":"Techniques for fixing inference problems","text":"iscolor = get(io, :color, false)","category":"page"},{"location":"explanations/fixing_inference/","page":"Techniques for fixing inference problems","title":"Techniques for fixing inference problems","text":"to","category":"page"},{"location":"explanations/fixing_inference/","page":"Techniques for fixing inference problems","title":"Techniques for fixing inference problems","text":"iscolor = get(io, :color, false)::Bool # assert that the rhs is Bool-valued","category":"page"},{"location":"explanations/fixing_inference/","page":"Techniques for fixing inference problems","title":"Techniques for fixing inference problems","text":"will throw an error if it isn't a Bool, and this allows the compiler to take advantage of the type being known in subsequent operations.","category":"page"},{"location":"explanations/fixing_inference/","page":"Techniques for fixing inference problems","title":"Techniques for fixing inference problems","text":"If the return type is one of a small number of possibilities (generally three or fewer), you can annotate the return type with Union{...}. This is generally advantageous only when the intersection of what inference already knows about the types of a variable and the types in the Union results in an concrete type.","category":"page"},{"location":"explanations/fixing_inference/","page":"Techniques for fixing inference problems","title":"Techniques for fixing inference problems","text":"As a more detailed example, suppose you're writing code that parses Julia's Expr type:","category":"page"},{"location":"explanations/fixing_inference/","page":"Techniques for fixing inference problems","title":"Techniques for fixing inference problems","text":"julia> ex = :(Array{Float32,3})\n:(Array{Float32, 3})\n\njulia> dump(ex)\nExpr\n head: Symbol curly\n args: Vector{Any(3,))\n 1: Symbol Array\n 2: Symbol Float32\n 3: Int64 3","category":"page"},{"location":"explanations/fixing_inference/","page":"Techniques for fixing inference problems","title":"Techniques for fixing inference problems","text":"ex.args is a Vector{Any}. However, for a :curly expression only certain types will be found among the arguments; you could write key portions of your code as","category":"page"},{"location":"explanations/fixing_inference/","page":"Techniques for fixing inference problems","title":"Techniques for fixing inference problems","text":"a = ex.args[2]\nif a isa Symbol\n # inside this block, Julia knows `a` is a Symbol, and so methods called on `a` will be resistant to invalidation\n foo(a)\nelseif a isa Expr && length((a::Expr).args) > 2\n a::Expr # sometimes you have to help inference by adding a type-assert\n x = bar(a) # `bar` is now resistant to invalidation\nelseif a isa Integer\n # even though you've not made this fully-inferrable, you've at least reduced the scope for invalidations\n # by limiting the subset of `foobar` methods that might be called\n y = foobar(a)\nend","category":"page"},{"location":"explanations/fixing_inference/","page":"Techniques for fixing inference problems","title":"Techniques for fixing inference problems","text":"Other tricks include replacing broadcasting on v::Vector{Any} with Base.mapany(f, v)–mapany avoids trying to narrow the type of f(v[i]) and just assumes it will be Any, thereby avoiding invalidations of many convert methods.","category":"page"},{"location":"explanations/fixing_inference/","page":"Techniques for fixing inference problems","title":"Techniques for fixing inference problems","text":"Adding type-assertions and fixing inference problems are the most common approaches for fixing invalidations. You can discover these manually, but using Cthulhu is highly recommended.","category":"page"},{"location":"explanations/fixing_inference/#Inferrable-field-access-for-abstract-types","page":"Techniques for fixing inference problems","title":"Inferrable field access for abstract types","text":"","category":"section"},{"location":"explanations/fixing_inference/","page":"Techniques for fixing inference problems","title":"Techniques for fixing inference problems","text":"When invalidations happen for methods that manipulate fields of abstract types, often there is a simple solution: create an \"interface\" for the abstract type specifying that certain fields must have certain types. Here's an example:","category":"page"},{"location":"explanations/fixing_inference/","page":"Techniques for fixing inference problems","title":"Techniques for fixing inference problems","text":"abstract type AbstractDisplay end\n\nstruct Monitor <: AbstractDisplay\n height::Int\n width::Int\n maker::String\nend\n\nstruct Phone <: AbstractDisplay\n height::Int\n width::Int\n maker::Symbol\nend\n\nfunction Base.show(@nospecialize(d::AbstractDisplay), x)\n str = string(x)\n w = d.width\n if length(str) > w # do we have to truncate to fit the display width?\n ...","category":"page"},{"location":"explanations/fixing_inference/","page":"Techniques for fixing inference problems","title":"Techniques for fixing inference problems","text":"In this show method, we've deliberately chosen to prevent specialization on the specific type of AbstractDisplay (to reduce the total number of times we have to compile this method). As a consequence, Julia's inference may not realize that d.width returns an Int.","category":"page"},{"location":"explanations/fixing_inference/","page":"Techniques for fixing inference problems","title":"Techniques for fixing inference problems","text":"Fortunately, you can help by defining an interface for generic AbstractDisplay objects:","category":"page"},{"location":"explanations/fixing_inference/","page":"Techniques for fixing inference problems","title":"Techniques for fixing inference problems","text":"function Base.getproperty(d::AbstractDisplay, name::Symbol)\n if name === :height\n return getfield(d, :height)::Int\n elseif name === :width\n return getfield(d, :width)::Int\n elseif name === :maker\n return getfield(d, :maker)::Union{String,Symbol}\n end\n return getfield(d, name)\nend","category":"page"},{"location":"explanations/fixing_inference/","page":"Techniques for fixing inference problems","title":"Techniques for fixing inference problems","text":"Julia's constant propagation will ensure that most accesses of those fields will be determined at compile-time, so this simple change robustly fixes many inference problems.","category":"page"},{"location":"explanations/fixing_inference/#Fixing-Core.Box","page":"Techniques for fixing inference problems","title":"Fixing Core.Box","text":"","category":"section"},{"location":"explanations/fixing_inference/","page":"Techniques for fixing inference problems","title":"Techniques for fixing inference problems","text":"Julia issue 15276 is one of the more surprising forms of inference failure; it is the most common cause of a Core.Box annotation. If other variables depend on the Boxed variable, then a single Core.Box can lead to widespread inference problems. For this reason, these are also among the first inference problems you should tackle.","category":"page"},{"location":"explanations/fixing_inference/","page":"Techniques for fixing inference problems","title":"Techniques for fixing inference problems","text":"Read this explanation of why this happens and what you can do to fix it. If you are directed to find Core.Box inference triggers via suggest, you may need to explore around the call site a bit– the inference trigger may be in the closure itself, but the fix needs to go in the method that creates the closure.","category":"page"},{"location":"explanations/fixing_inference/","page":"Techniques for fixing inference problems","title":"Techniques for fixing inference problems","text":"Use of ascend is highly recommended for fixing Core.Box inference failures.","category":"page"},{"location":"explanations/fixing_inference/#Handling-edge-cases","page":"Techniques for fixing inference problems","title":"Handling edge cases","text":"","category":"section"},{"location":"explanations/fixing_inference/","page":"Techniques for fixing inference problems","title":"Techniques for fixing inference problems","text":"You can sometimes get invalidations from failing to handle \"formal\" possibilities. For example, operations with regular expressions might return a Union{Nothing, RegexMatch}. You can sometimes get poor type inference by writing code that fails to take account of the possibility that nothing might be returned. For example, a comprehension","category":"page"},{"location":"explanations/fixing_inference/","page":"Techniques for fixing inference problems","title":"Techniques for fixing inference problems","text":"ms = [m.match for m in match.((rex,), my_strings)]","category":"page"},{"location":"explanations/fixing_inference/","page":"Techniques for fixing inference problems","title":"Techniques for fixing inference problems","text":"might be replaced with","category":"page"},{"location":"explanations/fixing_inference/","page":"Techniques for fixing inference problems","title":"Techniques for fixing inference problems","text":"ms = [m.match for m in match.((rex,), my_strings) if m !== nothing]","category":"page"},{"location":"explanations/fixing_inference/","page":"Techniques for fixing inference problems","title":"Techniques for fixing inference problems","text":"and return a better-typed result.","category":"page"},{"location":"tutorials/snoop_inference_analysis/#inferrability","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"","category":"section"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"Throughout this page, we'll use the OptimizeMe demo, which ships with SnoopCompile.","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"note: Note\nTo understand what follows, it's essential to refer to OptimizeMe source code as you follow along.","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"julia> using SnoopCompile\n\njulia> cd(joinpath(pkgdir(SnoopCompile), \"examples\"))\n\njulia> include(\"OptimizeMe.jl\")\nMain.OptimizeMe\n\njulia> tinf = @snoop_inference OptimizeMe.main()\nlotsa containers:\n7-element Vector{Main.OptimizeMe.Container}:\n Main.OptimizeMe.Container{Int64}(1)\n Main.OptimizeMe.Container{UInt8}(0x01)\n Main.OptimizeMe.Container{UInt16}(0xffff)\n Main.OptimizeMe.Container{Float32}(2.0f0)\n Main.OptimizeMe.Container{Char}('a')\n Main.OptimizeMe.Container{Vector{Int64}}([0])\n Main.OptimizeMe.Container{Tuple{String, Int64}}((\"key\", 42))\n3.14 is great\n2.718 is jealous\n6-element Vector{Main.OptimizeMe.Object}:\n Main.OptimizeMe.Object(1)\n Main.OptimizeMe.Object(2)\n Main.OptimizeMe.Object(3)\n Main.OptimizeMe.Object(4)\n Main.OptimizeMe.Object(5)\n Main.OptimizeMe.Object(7)\nInferenceTimingNode: 1.423913/2.713560 on InferenceFrameInfo for Core.Compiler.Timings.ROOT() with 77 direct children\n\njulia> fg = flamegraph(tinf)\nNode(FlameGraphs.NodeData(ROOT() at typeinfer.jl:75, 0x00, 0:2713559552))","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"If you visualize fg with ProfileView, you'll see something like this:","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"(Image: flamegraph-OptimizeMe)","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"From the standpoint of precompilation, this has some obvious problems:","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"even though we called a single method, OptimizeMe.main(), there are many distinct flames separated by blank spaces. This indicates that many calls are being made by runtime dispatch: each separate flame is a fresh entrance into inference.\nseveral of the flames are marked in red, indicating that they are not precompilable. While SnoopCompile does have the capability to automatically emit precompile directives for the non-red bars that sit on top of the red ones, in some cases the red extends to the highest part of the flame. In such cases there is no available precompile directive, and therefore no way to avoid the cost of type-inference.","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"Our goal will be to improve the design of OptimizeMe to make it more precompilable.","category":"page"},{"location":"tutorials/snoop_inference_analysis/#Analyzing-inference-triggers","page":"Using @snoop_inference results to improve inferrability","title":"Analyzing inference triggers","text":"","category":"section"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"We'll first extract the \"triggers\" of inference, which is just a repackaging of part of the information contained within tinf. Specifically an InferenceTrigger captures callee/caller relationships that straddle a fresh entrance to type-inference, allowing you to identify which calls were made by runtime dispatch and what MethodInstance they called.","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"julia> itrigs = inference_triggers(tinf)\n76-element Vector{InferenceTrigger}:\n Inference triggered to call MethodInstance for vect(::Int64, ::Vararg{Any, N} where N) from lotsa_containers (/pathto/SnoopCompile/examples/OptimizeMe.jl:13) with specialization MethodInstance for lotsa_containers()\n Inference triggered to call MethodInstance for promote_typeof(::Int64, ::UInt8, ::Vararg{Any, N} where N) from vect (./array.jl:126) with specialization MethodInstance for vect(::Int64, ::Vararg{Any, N} where N)\n Inference triggered to call MethodInstance for promote_typeof(::UInt8, ::UInt16, ::Vararg{Any, N} where N) from promote_typeof (./promotion.jl:272) with specialization MethodInstance for promote_typeof(::Int64, ::UInt8, ::Vararg{Any, N} where N)\n ⋮","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"This indicates that a whopping 76 calls were (1) made by runtime dispatch and (2) the callee had not previously been inferred. (There was a 77th call that had to be inferred, the original call to main(), but by default inference_triggers excludes calls made directly from top-level. You can change that through keyword arguments.)","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"tip: Tip\nIn the REPL, SnoopCompile displays InferenceTriggers with yellow coloration for the callee, red for the caller method, and blue for the caller specialization. This makes it easier to quickly identify the most important information.","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"In some cases, this might indicate that you'll need to fix 76 separate callers; fortunately, in many cases fixing the origin of inference problems can fix a number of later callees.","category":"page"},{"location":"tutorials/snoop_inference_analysis/#methtrigs","page":"Using @snoop_inference results to improve inferrability","title":"Method triggers","text":"","category":"section"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"Most often, it's most convenient to organize them by the method triggering the need for inference:","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"julia> mtrigs = accumulate_by_source(Method, itrigs)\n18-element Vector{SnoopCompile.TaggedTriggers{Method}}:\n print_matrix_row(io::IO, X::AbstractVecOrMat{T} where T, A::Vector{T} where T, i::Integer, cols::AbstractVector{T} where T, sep::AbstractString) in Base at arrayshow.jl:96 (1 callees from 1 callers)\n show(io::IO, x::T, forceuntyped::Bool, fromprint::Bool) where T<:Union{Float16, Float32, Float64} in Base.Ryu at ryu/Ryu.jl:111 (1 callees from 1 callers)\n Pair(a, b) in Base at pair.jl:15 (1 callees from 1 callers)\n vect(X...) in Base at array.jl:125 (1 callees from 1 callers)\n makeobjects() in Main.OptimizeMe at /pathto/SnoopCompile/examples/OptimizeMe.jl:36 (1 callees from 1 callers)\n show_delim_array(io::IO, itr, op, delim, cl, delim_one, i1, n) in Base at show.jl:1058 (1 callees from 1 callers)\n typeinfo_prefix(io::IO, X) in Base at arrayshow.jl:515 (2 callees from 1 callers)\n (::REPL.var\"#38#39\")(io) in REPL at /home/tim/src/julia-master/usr/share/julia/stdlib/v1.6/REPL/src/REPL.jl:214 (2 callees from 1 callers)\n _cat_t(dims, ::Type{T}, X...) where T in Base at abstractarray.jl:1633 (2 callees from 1 callers)\n contain_list(list) in Main.OptimizeMe at /pathto/SnoopCompile/examples/OptimizeMe.jl:27 (4 callees from 1 callers)\n promote_typeof(x, xs...) in Base at promotion.jl:272 (4 callees from 4 callers)\n combine_eltypes(f, args::Tuple) in Base.Broadcast at broadcast.jl:740 (5 callees from 1 callers)\n lotsa_containers() in Main.OptimizeMe at /pathto/SnoopCompile/examples/OptimizeMe.jl:12 (7 callees from 1 callers)\n alignment(io::IO, x) in Base at show.jl:2528 (7 callees from 7 callers)\n var\"#sprint#386\"(context, sizehint::Integer, ::typeof(sprint), f::Function, args...) in Base at strings/io.jl:100 (8 callees from 2 callers)\n alignment(io::IO, X::AbstractVecOrMat{T} where T, rows::AbstractVector{T} where T, cols::AbstractVector{T} where T, cols_if_complete::Integer, cols_otherwise::Integer, sep::Integer) in Base at arrayshow.jl:60 (8 callees from 2 callers)\n copyto_nonleaf!(dest, bc::Base.Broadcast.Broadcasted, iter, state, count) in Base.Broadcast at broadcast.jl:1070 (9 callees from 3 callers)\n _show_default(io::IO, x) in Base at show.jl:397 (12 callees from 1 callers)","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"The methods triggering the largest number of inference runs are shown at the bottom. You can select methods from a particular module:","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"julia> modtrigs = filtermod(OptimizeMe, mtrigs)\n3-element Vector{SnoopCompile.TaggedTriggers{Method}}:\n makeobjects() in Main.OptimizeMe at /home/tim/.julia/dev/SnoopCompile/examples/OptimizeMe.jl:36 (1 callees from 1 callers)\n contain_list(list) in Main.OptimizeMe at /home/tim/.julia/dev/SnoopCompile/examples/OptimizeMe.jl:27 (4 callees from 1 callers)\n lotsa_containers() in Main.OptimizeMe at /home/tim/.julia/dev/SnoopCompile/examples/OptimizeMe.jl:12 (7 callees from 1 callers)","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"Rather than filter by a single module, you can alternatively call SnoopCompile.parcel(mtrigs) to split them out by module. In this case, most of the triggers came from Base, not OptimizeMe. However, many of the failures in Base were nevertheless indirectly due to OptimizeMe: our methods in OptimizeMe call Base methods with arguments that trigger internal inference failures. Fortunately, we'll see that using more careful design in OptimizeMe can avoid many of those problems.","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"tip: Tip\nIf you have a longer list of inference triggers than you feel comfortable tackling, filtering by your package's module is probably the best way to start. Fixing issues in the package itself can end up resolving many of the \"indirect\" triggers too. Also be sure to note the ability to filter out likely \"noise\" from test suites.","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"If you're hoping to fix inference problems, one of the most efficient things you can do is call summary:","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"julia> mtrig = modtrigs[1]\nmakeobjects() in Main.OptimizeMe at /home/tim/.julia/dev/SnoopCompile/examples/OptimizeMe.jl:36 (1 callees from 1 callers)\n\njulia> summary(mtrig)\nmakeobjects() in Main.OptimizeMe at /home/tim/.julia/dev/SnoopCompile/examples/OptimizeMe.jl:36 had 1 specializations\nTriggering calls:\nInlined _cat at ./abstractarray.jl:1630: calling cat_t##kw (1 instances)","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"Sometimes from these hints alone you can figure out how to fix the problem. (Inlined _cat means that the inference trigger did not come directly from a source line of makeobjects but from a call, _cat, that got inlined into the compiled version. Below we'll see more concretely how to interpret this hint.)","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"You can also say edit(mtrig) and be taken directly to the method you're analyzing in your editor. Finally, you can recover the individual triggers:","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"julia> mtrig.itrigs[1]\nInference triggered to call MethodInstance for (::Base.var\"#cat_t##kw\")(::NamedTuple{(:dims,), Tuple{Val{1}}}, ::typeof(Base.cat_t), ::Type{Int64}, ::UnitRange{Int64}, ::Vararg{Any, N} where N) from _cat (./abstractarray.jl:1630) inlined into MethodInstance for makeobjects() (/home/tim/.julia/dev/SnoopCompile/examples/OptimizeMe.jl:37)","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"This is useful if you want to analyze a method via Cthulhu.ascend. Method-based triggers, which may aggregate many different individual triggers, are particularly useful mostly because tools like Cthulhu.jl show you the inference results for the entire MethodInstance, allowing you to fix many different inference problems at once.","category":"page"},{"location":"tutorials/snoop_inference_analysis/#Trigger-trees","page":"Using @snoop_inference results to improve inferrability","title":"Trigger trees","text":"","category":"section"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"While method triggers are probably the most useful way of organizing these inference triggers, for learning purposes here we'll use a more detailed scheme, which organizes inference triggers in a tree:","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"julia> itree = trigger_tree(itrigs)\nTriggerNode for root with 14 direct children\n\njulia> using AbstractTrees\n\njulia> print_tree(itree)\nroot\n├─ MethodInstance for vect(::Int64, ::Vararg{Any, N} where N)\n│ └─ MethodInstance for promote_typeof(::Int64, ::UInt8, ::Vararg{Any, N} where N)\n│ └─ MethodInstance for promote_typeof(::UInt8, ::UInt16, ::Vararg{Any, N} where N)\n│ └─ MethodInstance for promote_typeof(::UInt16, ::Float32, ::Vararg{Any, N} where N)\n│ └─ MethodInstance for promote_typeof(::Float32, ::Char, ::Vararg{Any, N} where N)\n│ ⋮\n│\n├─ MethodInstance for combine_eltypes(::Type, ::Tuple{Vector{Any}})\n│ ├─ MethodInstance for return_type(::Any, ::Any)\n│ ├─ MethodInstance for return_type(::Any, ::Any, ::UInt64)\n│ ├─ MethodInstance for return_type(::Core.Compiler.NativeInterpreter, ::Any, ::Any)\n│ ├─ MethodInstance for contains_is(::Core.SimpleVector, ::Any)\n│ └─ MethodInstance for promote_typejoin_union(::Type{Main.OptimizeMe.Container})\n├─ MethodInstance for Main.OptimizeMe.Container(::Int64)\n⋮","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"The parent-child relationships are based on the backtraces at the entrance to inference, and the nodes are organized in the order in which inference occurred.","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"We're going to march through these systematically. Let's start with the first of these.","category":"page"},{"location":"tutorials/snoop_inference_analysis/#suggest-and-a-fix-involving-manual-eltype-specification","page":"Using @snoop_inference results to improve inferrability","title":"suggest and a fix involving manual eltype specification","text":"","category":"section"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"Because the analysis of inference failures is somewhat complex, SnoopCompile attempts to suggest an interpretation and/or remedy for each trigger:","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"julia> suggest(itree.children[1])\n/pathto/SnoopCompile/examples/OptimizeMe.jl:13: invoked callee is varargs (ignore this one, homogenize the arguments, declare an umbrella type, or force-specialize the callee MethodInstance for vect(::Int64, ::Vararg{Any, N} where N))\nimmediate caller(s):\n1-element Vector{Base.StackTraces.StackFrame}:\n main() at OptimizeMe.jl:42\n└─ ./array.jl:126: caller is varargs (ignore this one, specialize the caller vect(::Int64, ::Vararg{Any, N} where N) at array.jl:126, or improve inferrability of its caller)\n immediate caller(s):\n 1-element Vector{Base.StackTraces.StackFrame}:\n lotsa_containers() at OptimizeMe.jl:13\n └─ ./promotion.jl:272: caller is varargs (ignore this one, specialize the caller promote_typeof(::Int64, ::UInt8, ::Vararg{Any, N} where N) at promotion.jl:272, or improve inferrability of its caller)\n immediate caller(s):\n 1-element Vector{Base.StackTraces.StackFrame}:\n vect(::Int64, ::Vararg{Any, N} where N) at array.jl:126\n └─ ./promotion.jl:272: caller is varargs (ignore this one, specialize the caller promote_typeof(::UInt8, ::UInt16, ::Vararg{Any, N} where N) at promotion.jl:272, or improve inferrability of its caller)\n immediate caller(s):\n 1-element Vector{Base.StackTraces.StackFrame}:\n promote_typeof(::Int64, ::UInt8, ::Vararg{Any, N} where N) at promotion.jl:272\n └─ ./promotion.jl:272: caller is varargs (ignore this one, specialize the caller promote_typeof(::UInt16, ::Float32, ::Vararg{Any, N} where N) at promotion.jl:272, or improve inferrability of its caller)\n immediate caller(s):\n 1-element Vector{Base.StackTraces.StackFrame}:\n promote_typeof(::UInt8, ::UInt16, ::Vararg{Any, N} where N) at promotion.jl:272\n └─ ./promotion.jl:272: caller is varargs (ignore this one, specialize the caller promote_typeof(::Float32, ::Char, ::Vararg{Any, N} where N) at promotion.jl:272, or improve inferrability of its caller)\n immediate caller(s):\n 1-element Vector{Base.StackTraces.StackFrame}:\n promote_typeof(::UInt16, ::Float32, ::Vararg{Any, N} where N) at promotion.jl:272\n ⋮","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"tip: Tip\nIn the REPL, interpretations are highlighted in color to help distinguish individual suggestions.","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"In this case, the interpretation for the first node is \"invoked callee is varargs\" and suggestions are to choose one of \"ignore...homogenize...umbrella type...force-specialize\". Initially, this may seem pretty opaque. It helps if we look at the referenced line OptimizeMe.jl:13:","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"list = [1, 0x01, 0xffff, 2.0f0, 'a', [0], (\"key\", 42)]","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"You'll notice above that the callee for the first node is vect; that's what handles the creation of the vector [1, ...]. If you look back up at the itree, you can see that a lot of promote_typeof calls follow, and you can see that the types listed in the arguments match the elements in list. The problem, here, is that vect has never been inferred for this particular combination of argument types, and the fact that the types are diverse means that Julia has decided not to specialize it for this combination. (If Julia had specialized it, it would have been inferred when lotsa_containers was inferred; the fact that it is showing up as a trigger means it wasn't.)","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"Let's see what kind of object this line creates:","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"julia> typeof(list)\nVector{Any} (alias for Array{Any, 1})","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"Since it creates a Vector{Any}, perhaps we should just tell Julia to create such an object directly: we modify [1, 0x01, ...] to Any[1, 0x01, ...] (note the Any in front of [), so that Julia doesn't have to deduce the container type on its own. This follows the \"declare an umbrella type\" suggestion.","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"note: Note\n\"Force-specialize\" means to encourage Julia to violate its heuristics and specialize the callee. Often this can be achieved by supplying a \"spurious\" type parameter. Examples include replacing higherorderfunction(f::Function, args...) with function higherorderfunction(f::F, args...) where F<:Function, or function getindex(A::MyArrayType{T,N}, idxs::Vararg{Int,N}) where {T,N} instead of just getindex(A::MyArrayType, idxs::Int...). (In the latter case, the N parameter is the crucial one: it forces specialization for a particular number of Int arguments.)This technique is not useful for the particular case we analyzed here, but it can be in other settings.","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"Making this simple 3-character fix eliminates that entire branch of the tree (a savings of 6 inference triggers).","category":"page"},{"location":"tutorials/snoop_inference_analysis/#eltypes-and-reducing-specialization-in-broadcast","page":"Using @snoop_inference results to improve inferrability","title":"eltypes and reducing specialization in broadcast","text":"","category":"section"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"Let's move on to the next entry:","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"julia> print_tree(itree.children[2])\nMethodInstance for combine_eltypes(::Type, ::Tuple{Vector{Any}})\n├─ MethodInstance for return_type(::Any, ::Any)\n├─ MethodInstance for return_type(::Any, ::Any, ::UInt64)\n├─ MethodInstance for return_type(::Core.Compiler.NativeInterpreter, ::Any, ::Any)\n├─ MethodInstance for contains_is(::Core.SimpleVector, ::Any)\n└─ MethodInstance for promote_typejoin_union(::Type{Main.OptimizeMe.Container})\n\njulia> suggest(itree.children[2])\n./broadcast.jl:905: regular invoke (perhaps precompile lotsa_containers() at OptimizeMe.jl:14)\n├─ ./broadcast.jl:740: I've got nothing to say for MethodInstance for return_type(::Any, ::Any) consider `stacktrace(itrig)` or `Cthulhu.ascend(itrig)`\n├─ ./broadcast.jl:740: I've got nothing to say for MethodInstance for return_type(::Any, ::Any, ::UInt64) consider `stacktrace(itrig)` or `Cthulhu.ascend(itrig)`\n├─ ./broadcast.jl:740: I've got nothing to say for MethodInstance for return_type(::Core.Compiler.NativeInterpreter, ::Any, ::Any) consider `stacktrace(itrig)` or `Cthulhu.ascend(itrig)`\n├─ ./broadcast.jl:740: I've got nothing to say for MethodInstance for contains_is(::Core.SimpleVector, ::Any) consider `stacktrace(itrig)` or `Cthulhu.ascend(itrig)`\n└─ ./broadcast.jl:740: non-inferrable call, perhaps annotate combine_eltypes(f, args::Tuple) in Base.Broadcast at broadcast.jl:740 with type MethodInstance for promote_typejoin_union(::Type{Main.OptimizeMe.Container})\n If a noninferrable argument is a type or function, Julia's specialization heuristics may be responsible.\n immediate caller(s):\n 3-element Vector{Base.StackTraces.StackFrame}:\n copy at broadcast.jl:905 [inlined]\n materialize at broadcast.jl:883 [inlined]\n lotsa_containers() at OptimizeMe.jl:14","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"While this tree is attributed to broadcast, you can see several references here to OptimizeMe.jl:14, which contains:","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"cs = Container.(list)","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"Container.(list) is a broadcasting operation, and once again we find that this has inferrability problems. In this case, the initial suggestion \"perhaps precompile lotsa_containers\" is not helpful. (The \"regular invoke\" just means that the initial call was one where inference knew all the argument types, and hence in principle might be precompilable, but from this tree we see that this broke down in some of its callees.) Several children have no interpretation (\"I've got nothing to say...\"). Only the last one, \"non-inferrable call\", is (marginally) useful, it means that a call was made with arguments whose types could not be inferred.","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"warning: Warning\nYou should always view these suggestions skeptically. Often, they flag downstream issues that are better addressed at the source; frequently the best fix may be at a line a bit before the one identified in a trigger, or even in a dependent callee of a line prior to the flagged one. This is a product of the fact that returning a non-inferrable argument is not the thing that forces a new round of inference; it's doing something (making a specialization-worthy call) with the object of non-inferrable type that triggers a fresh entrance into inference.","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"How might we go about fixing this? One hint is to notice that itree.children[3] through itree.children[7] also ultimiately derive from this one line of OptimizeMe, but from a later line within broadcast.jl which explains why they are not bundled together with itree.children[2]. May of these correspond to creating different Container types, for example:","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"└─ MethodInstance for restart_copyto_nonleaf!(::Vector{Main.OptimizeMe.Container}, ::Vector{Main.OptimizeMe.Container{Int64}}, ::Base.Broadcast.Broadcasted{Base.Broadcast.DefaultArrayStyle{1}, Tuple{Base.OneTo{Int64}}, Type{Main.OptimizeMe.Container}, Tuple{Base.Broadcast.Extruded{Vector{Any}, Tuple{Bool}, Tuple{Int64}}}}, ::Main.OptimizeMe.Container{UInt8}, ::Int64, ::Base.OneTo{Int64}, ::Int64, ::Int64)\n ├─ MethodInstance for Main.OptimizeMe.Container(::UInt16)\n ├─ MethodInstance for Main.OptimizeMe.Container(::Float32)\n ├─ MethodInstance for Main.OptimizeMe.Container(::Char)\n ├─ MethodInstance for Main.OptimizeMe.Container(::Vector{Int64})\n └─ MethodInstance for Main.OptimizeMe.Container(::Tuple{String, Int64})","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"We've created a Container{T} for each specific T of the objects in list. In some cases, there may be good reasons for such specialization, and in such cases we just have to live with these inference failures. However, in other cases the specialization might be detrimental to compile-time and/or runtime performance. In such cases, we might decide to create them all as Container{Any}:","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"cs = Container{Any}.(list)","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"This 5-character change ends up eliminating 45 of our original 76 triggers. Not only did we eliminate the triggers from broadcasting, but we limited the number of different show(::IO, ::Container{T})-MethodInstances we need from later calls in main.","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"When the Container constructor does more complex operations, in some cases you may find that Container{Any}(args...) still gets specialized for different types of args.... In such cases, you can create a special constructor that instructs Julia to avoid specialization in specific instances, e.g.,","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"struct Container{T}\n field1::T\n morefields...\n\n # This constructor permits specialization on `args`\n Container{T}(args...) where {T} = new{T}(args...)\n\n # For Container{Any}, we prevent specialization\n Container{Any}(@nospecialize(args...)) = new{Any}(args...)\nend","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"If you're following along, the best option is to make these fixes and go back to the beginning, re-collecting tinf and processing the triggers. We're down to 32 inference triggers.","category":"page"},{"location":"tutorials/snoop_inference_analysis/#typeasserts","page":"Using @snoop_inference results to improve inferrability","title":"Adding type-assertions","text":"","category":"section"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"If you've made the fixes above, the first child of itree is one for show(::IOContext{Base.TTY}, ::MIME{Symbol(\"text/plain\")}, ::Vector{Main.OptimizeMe.Container{Any}}); we'll skip that one for now, because it's a bit more sophisticated. Right below it, we see","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"├─ MethodInstance for combine_eltypes(::Type, ::Tuple{Vector{Any}})\n│ ├─ MethodInstance for return_type(::Any, ::Any)\n│ ├─ MethodInstance for return_type(::Any, ::Any, ::UInt64)","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"and related nodes for similar, copyto_nonleaf!, etc., just as we saw above, so this looks like another case of broadcasting failure. In this case, suggest quickly indicates that it's the broadcasting in","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"function contain_list(list)\n cs = Container.(list)\n return concat_string(cs...)\nend","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"Now we know the problem: main creates list = [2.718, \"is jealous\"], a vector with different object types, and this leads to inference failures in broadcasting. But wait, you might notice, contain_concrete gets called before contain_list, why doesn't it have a problem? The reason is that contain_concrete and its callee, concat_string, provide opportunities for inference to handle each object in a separate argument; the problems arise from bundling objects of different types into the same container.","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"There are several ways we could go about fixig this example:","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"we could delete contain_list altogether and use contain_concrete for everything.\nwe could try creating list as a tuple rather than a Vector{Any}; (small) tuples sometimes allow inference to succeed even when each element has a different type. This is as simple as changing list = [2.718, \"is jealous\"] to list = (2.718, \"is jealous\"), but whether it works to solve all your inference problems depends on the particular case.\nwe could use external knowledge to annotate the types of the items in list::Vector{Any}.","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"Here we'll illustrate the last of these, since it's the only one that's nontrivial. (It's also often a useful pattern in many real-world contexts, such as cases where you have a Dict{String,Any} but know something about the kinds of value-types associated with particular string keys.) We could rewrite contain_list so it looks like this:","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"function contain_list(list)\n length(list) == 2 || throw(DimensionMismatch(\"list must have length 2\"))\n item1 = list[1]::Float64\n item2 = list[2]::String\n return contain_concrete(item1, item2) # or we could repeat the body of contain_concrete\nend","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"The type-assertions tell inference that the corresponding items have the given types, and assist inference in cases where it has no mechanism to deduce the answer on its own. Julia will throw an error if the type-assertion fails. In some cases, a more forgiving option might be","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"item1 = convert(Float64, list[1])::Float64","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"which will attempt to convert list[1] to a Float64, and therefore handle a wider range of number types stored in the first element of list. Believe it or not, both the convert() and the ::Float64 type-assertion are necessary: since list[1] is of type Any, Julia will not be able to deduce which convert method will be used to perform the conversion, and it's always possible that someone has written a sloppy convert that doesn't return a value of the requested type. Without that final ::Float64, inference cannot simply assume that the result is a Float64. The type-assert ::Float64 enforces the fact that you're expecting that convert call to actually return a Float64–it will error if it fails to do so, and it's this error that allows inference to be certain that for the purposes of any later code it must be a Float64.","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"Of course, this just trades one form of inference failure for another–the call to convert will be made by runtime dispatch–but this can nevertheless be a big win for two reasons:","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"even though the convert call will be made by runtime dispatch, in this particular case convert(Float64, ::Float64) is already compiled in Julia itself. Consequently it doesn't require a fresh run of inference.\neven in cases where the types are such that convert might need to be inferred & compiled, the type-assertion allows Julia to assume that item1 is henceforth a Float64. This makes it possible for inference to succeed for any code that follows. When that's a large amount of code, the savings can be considerable.","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"Let's make that fix and also annotate the container type from main, list = Any[2.718, \"is jealous\"]. Just to see how we're progressing, we start a fresh session and discover we're down to 20 triggers with just three direct branches.","category":"page"},{"location":"tutorials/snoop_inference_analysis/#Vararg-homogenization","page":"Using @snoop_inference results to improve inferrability","title":"Vararg homogenization","text":"","category":"section"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"We'll again skip over the show branches (they are two of the remaining three), and focus on this one:","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"julia> node = itree.children[2]\nTriggerNode for MethodInstance for (::Base.var\"#cat_t##kw\")(::NamedTuple{(:dims,), Tuple{Val{1}}}, ::typeof(Base.cat_t), ::Type{Int64}, ::UnitRange{Int64}, ::Vararg{Any, N} where N) with 2 direct children\n\njulia> print_tree(node)\nMethodInstance for (::Base.var\"#cat_t##kw\")(::NamedTuple{(:dims,), Tuple{Val{1}}}, ::typeof(Base.cat_t), ::Type{Int64}, ::UnitRange{Int64}, ::Vararg{Any, N} where N)\n├─ MethodInstance for cat_similar(::UnitRange{Int64}, ::Type, ::Tuple{Int64})\n└─ MethodInstance for __cat(::Vector{Int64}, ::Tuple{Int64}, ::Tuple{Bool}, ::UnitRange{Int64}, ::Vararg{Any, N} where N)\n\njulia> suggest(node)\n./abstractarray.jl:1630: invoked callee is varargs (ignore this one, force-specialize the callee MethodInstance for (::Base.var\"#cat_t##kw\")(::NamedTuple{(:dims,), Tuple{Val{1}}}, ::typeof(Base.cat_t), ::Type{Int64}, ::UnitRange{Int64}, ::Vararg{Any, N} where N), or declare an umbrella type)\nimmediate caller(s):\n1-element Vector{Base.StackTraces.StackFrame}:\n main() at OptimizeMe.jl:48\n├─ ./abstractarray.jl:1636: caller is varargs (ignore this one, specialize the caller _cat_t(::Val{1}, ::Type{Int64}, ::UnitRange{Int64}, ::Vararg{Any, N} where N) at abstractarray.jl:1636, or improve inferrability of its caller)\n│ immediate caller(s):\n│ 1-element Vector{Base.StackTraces.StackFrame}:\n│ cat_t(::Type{Int64}, ::UnitRange{Int64}, ::Vararg{Any, N} where N; dims::Val{1}) at abstractarray.jl:1632\n└─ ./abstractarray.jl:1640: caller is varargs (ignore this one, specialize the caller _cat_t(::Val{1}, ::Type{Int64}, ::UnitRange{Int64}, ::Vararg{Any, N} where N) at abstractarray.jl:1640, or improve inferrability of its caller)\n immediate caller(s):\n 1-element Vector{Base.StackTraces.StackFrame}:\n cat_t(::Type{Int64}, ::UnitRange{Int64}, ::Vararg{Any, N} where N; dims::Val{1}) at abstractarray.jl:1632","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"Due to Julia's optimization and inlining, it's sometimes a bit hard to tell from these shortened displays where a particular trigger comes from. (It turns out that this is finally the trigger we looked at in greatest detail in method-based triggers.) In this case we extract the specific trigger and show the stacktrace:","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"julia> itrig = node.itrig\nInference triggered to call MethodInstance for (::Base.var\"#cat_t##kw\")(::NamedTuple{(:dims,), Tuple{Val{1}}}, ::typeof(Base.cat_t), ::Type{Int64}, ::UnitRange{Int64}, ::Vararg{Any, N} where N) from _cat (./abstractarray.jl:1630) inlined into MethodInstance for makeobjects() (/tmp/OptimizeMe.jl:39)\n\njulia> stacktrace(itrig)\n24-element Vector{Base.StackTraces.StackFrame}:\n exit_current_timer at typeinfer.jl:166 [inlined]\n typeinf(interp::Core.Compiler.NativeInterpreter, frame::Core.Compiler.InferenceState) at typeinfer.jl:208\n typeinf_ext(interp::Core.Compiler.NativeInterpreter, mi::Core.MethodInstance) at typeinfer.jl:835\n typeinf_ext_toplevel(interp::Core.Compiler.NativeInterpreter, linfo::Core.MethodInstance) at typeinfer.jl:868\n typeinf_ext_toplevel(mi::Core.MethodInstance, world::UInt64) at typeinfer.jl:864\n _cat at abstractarray.jl:1630 [inlined]\n #cat#127 at abstractarray.jl:1769 [inlined]\n cat at abstractarray.jl:1769 [inlined]\n vcat at abstractarray.jl:1698 [inlined]\n makeobjects() at OptimizeMe.jl:39\n main() at OptimizeMe.jl:48\n top-level scope at snoop_inference.jl:53\n eval(m::Module, e::Any) at boot.jl:360\n eval_user_input(ast::Any, backend::REPL.REPLBackend) at REPL.jl:139\n repl_backend_loop(backend::REPL.REPLBackend) at REPL.jl:200\n start_repl_backend(backend::REPL.REPLBackend, consumer::Any) at REPL.jl:185\n run_repl(repl::REPL.AbstractREPL, consumer::Any; backend_on_current_task::Bool) at REPL.jl:317\n run_repl(repl::REPL.AbstractREPL, consumer::Any) at REPL.jl:305\n (::Base.var\"#872#874\"{Bool, Bool, Bool})(REPL::Module) at client.jl:387\n #invokelatest#2 at essentials.jl:707 [inlined]\n invokelatest at essentials.jl:706 [inlined]\n run_main_repl(interactive::Bool, quiet::Bool, banner::Bool, history_file::Bool, color_set::Bool) at client.jl:372\n exec_options(opts::Base.JLOptions) at client.jl:302\n _start() at client.jl:485","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"(You can also call stacktrace directly on node.) It's the lines immediately following typeinf_ext_toplevel that need concern us: you can see that the \"last stop\" on code we wrote here was makeobjects() at OptimizeMe.jl:39, after which it goes fairly deep into the concatenation pipeline before suffering an inference trigger at _cat at abstractarray.jl:1630.","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"In this case, the first hint is quite useful, if we know how to interpret it. The invoked callee is varargs reassures us that the immediate caller, _cat, knows exactly which method it is calling (that's the meaning of the invoked). The real problem is that it doesn't know how to specialize it. The suggestion to homogenize the arguments is the crucial hint: the problem comes from the fact that in","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"xs = [1:5; 7]","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"1:5 is a UnitRange{Int} whereas 7 is an Int, and the fact that these are two different types prevents Julia from knowing how to specialize that varargs call. But this is easy to fix, because the result will be identical if we write this as","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"xs = [1:5; 7:7]","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"in which case both arguments are UnitRange{Int}, and this allows Julia to specialize the varargs call.","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"note: Note\nIt's generally a good thing that Julia doesn't specialize each and every varargs call, because the lack of specialization reduces latency. However, when you can homogenize the argument types and make it inferrable, you make it more worthy of precompilation, which is a different and ultimately more impactful approach to latency reduction.","category":"page"},{"location":"tutorials/snoop_inference_analysis/#Defining-show-methods-for-custom-types","page":"Using @snoop_inference results to improve inferrability","title":"Defining show methods for custom types","text":"","category":"section"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"Finally we are left with nodes that are related to show. We'll temporarily skip the first of these and examine","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"julia> print_tree(node)\nMethodInstance for show(::IOContext{Base.TTY}, ::MIME{Symbol(\"text/plain\")}, ::Vector{Main.OptimizeMe.Object})\n└─ MethodInstance for var\"#sprint#386\"(::IOContext{Base.TTY}, ::Int64, ::typeof(sprint), ::Function, ::Main.OptimizeMe.Object)\n └─ MethodInstance for sizeof(::Main.OptimizeMe.Object)","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"We'll use this as an excuse to point out that if you don't know how to deal with the root node of this (sub)tree, you can tackle later nodes:","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"julia> itrigsnode = flatten(node)\n3-element Vector{InferenceTrigger}:\n Inference triggered to call MethodInstance for show(::IOContext{Base.TTY}, ::MIME{Symbol(\"text/plain\")}, ::Vector{Main.OptimizeMe.Object}) from #38 (/home/tim/src/julia-master/usr/share/julia/stdlib/v1.6/REPL/src/REPL.jl:220) with specialization MethodInstance for (::REPL.var\"#38#39\"{REPL.REPLDisplay{REPL.LineEditREPL}, MIME{Symbol(\"text/plain\")}, Base.RefValue{Any}})(::Any)\n Inference triggered to call MethodInstance for var\"#sprint#386\"(::IOContext{Base.TTY}, ::Int64, ::typeof(sprint), ::Function, ::Main.OptimizeMe.Object) from sprint##kw (./strings/io.jl:101) inlined into MethodInstance for alignment(::IOContext{Base.TTY}, ::Vector{Main.OptimizeMe.Object}, ::UnitRange{Int64}, ::UnitRange{Int64}, ::Int64, ::Int64, ::Int64) (./arrayshow.jl:68)\n Inference triggered to call MethodInstance for sizeof(::Main.OptimizeMe.Object) from _show_default (./show.jl:402) with specialization MethodInstance for _show_default(::IOContext{IOBuffer}, ::Any)\n\njulia> itrig = itrigsnode[end]\nInference triggered to call MethodInstance for sizeof(::Main.OptimizeMe.Object) from _show_default (./show.jl:402) with specialization MethodInstance for _show_default(::IOContext{IOBuffer}, ::Any)","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"The stacktrace begins","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"julia> stacktrace(itrig)\n35-element Vector{Base.StackTraces.StackFrame}:\n exit_current_timer at typeinfer.jl:166 [inlined]\n typeinf(interp::Core.Compiler.NativeInterpreter, frame::Core.Compiler.InferenceState) at typeinfer.jl:208\n typeinf_ext(interp::Core.Compiler.NativeInterpreter, mi::Core.MethodInstance) at typeinfer.jl:835\n typeinf_ext_toplevel(interp::Core.Compiler.NativeInterpreter, linfo::Core.MethodInstance) at typeinfer.jl:868\n typeinf_ext_toplevel(mi::Core.MethodInstance, world::UInt64) at typeinfer.jl:864\n _show_default(io::IOContext{IOBuffer}, x::Any) at show.jl:402\n show_default at show.jl:395 [inlined]\n show(io::IOContext{IOBuffer}, x::Any) at show.jl:390\n sprint(f::Function, args::Main.OptimizeMe.Object; context::IOContext{Base.TTY}, sizehint::Int64) at io.jl:103\n⋮","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"You can see that sprint called show which called _show_default; _show_default clearly needed to call sizeof. The hint, in this case, suggests the impossible:","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"julia> suggest(itrig)\n./show.jl:402: non-inferrable call, perhaps annotate _show_default(io::IO, x) in Base at show.jl:397 with type MethodInstance for sizeof(::Main.OptimizeMe.Object)\nIf a noninferrable argument is a type or function, Julia's specialization heuristics may be responsible.\nimmediate caller(s):\n2-element Vector{Base.StackTraces.StackFrame}:\n show_default at show.jl:395 [inlined]\n show(io::IOContext{IOBuffer}, x::Any) at show.jl:390","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"Because Base doesn't know about OptimizeMe.Object, you could not add such an annotation, and it wouldn't be correct in the vast majority of cases.","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"As the name implies, _show_default is the fallback show method. We can fix this by adding our own show method","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"Base.show(io::IO, o::Object) = print(io, \"Object x: \", o.x)","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"to the module definition. Object is so simple that this is slightly silly, but in more complex cases adding good show methods improves usability of your packages tremendously. (SnoopCompile has many show specializations, and without them it would be practically unusable.)","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"When you do define a custom show method, you own it, so of course it will be precompilable. So we've circumvented this particular issue.","category":"page"},{"location":"tutorials/snoop_inference_analysis/#Creating-\"warmup\"-methods","page":"Using @snoop_inference results to improve inferrability","title":"Creating \"warmup\" methods","text":"","category":"section"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"Finally, it is time to deal with those long-delayed show(::IOContext{Base.TTY}, ::MIME{Symbol(\"text/plain\")}, ::T) triggers and the triggers they inspire. We have two of them, one for T = Vector{Main.OptimizeMe.Container{Any}} and one for T = Vector{Main.OptimizeMe.Object}. Let's look at just the trigger associated with the first:","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"julia> itrig\nInference triggered to call MethodInstance for show(::IOContext{Base.TTY}, ::MIME{Symbol(\"text/plain\")}, ::Vector{Main.OptimizeMeFixed.Container{Any}}) from #38 (/pathto/julia/usr/share/julia/stdlib/v1.6/REPL/src/REPL.jl:220) with specialization MethodInstance for (::REPL.var\"#38#39\"{REPL.REPLDisplay{REPL.LineEditREPL}, MIME{Symbol(\"text/plain\")}, Base.RefValue{Any}})(::Any)","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"In this case we see that the method is #38. This is a gensym, or generated symbol, indicating that the method was generated during Julia's lowering pass, and might indicate a macro, a do block or other anonymous function, the generator for a @generated function, etc.","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"warning: Warning\nIt's particularly worthwhile to improve inferrability for gensym-methods. The number assiged to a gensymmed-method may change as you or other developers modify the package (possibly due to changes at very difference source-code locations), and so any explicit precompile directives involving gensyms may not have a long useful life.But not all methods with # in their name are problematic: methods ending in ##kw or that look like ##funcname#39 are keyword and body methods, respectively, for methods that accept keywords. They can be obtained from the main method, and so precompile directives for such methods will not be outdated by incidental changes to the package.","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"edit(itrig) (or equivalently, edit(node) where node is a child of itree) takes us to this method in Base:","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"function display(d::REPLDisplay, mime::MIME\"text/plain\", x)\n x = Ref{Any}(x)\n with_repl_linfo(d.repl) do io\n io = IOContext(io, :limit => true, :module => Main::Module)\n get(io, :color, false) && write(io, answer_color(d.repl))\n if isdefined(d.repl, :options) && isdefined(d.repl.options, :iocontext)\n # this can override the :limit property set initially\n io = foldl(IOContext, d.repl.options.iocontext, init=io)\n end\n show(io, mime, x[])\n println(io)\n end\n return nothing\nend","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"The generated method corresponds to the do block here. The call to show comes from show(io, mime, x[]). This implementation uses a clever trick, wrapping x in a Ref{Any}(x), to prevent specialization of the method defined by the do block on the specific type of x. This trick is designed to limit the number of MethodInstances inferred for this display method.","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"Unfortunately, from the standpoint of precompilation we have something of a conundrum. It turns out that this trigger corresponds to the first of the big red flames in the flame graph. show(::IOContext{Base.TTY}, ::MIME{Symbol(\"text/plain\")}, ::Vector{Main.OptimizeMe.Container{Any}}) is not precompilable because Base owns the show method for Vector; we might own the element type, but we're leveraging the generic machinery in Base and consequently it owns the method. If these were all packages, you might request its developers to add a precompile directive, but that will work only if the package that owns the method knows about the relevant type. In this situation, Julia's Base module doesn't know about OptimizeMe.Container{Any}, so we're stuck.","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"There are a couple of ways one might go about improving matters. First, one option is that this should be changed in Julia itself: since the caller, display, has gone to some lengths to reduce specialization, it would be worth contemplating whether show(io::IO, ::MIME\"text/plain\", X::AbstractArray) should have a @nospecialize around X. Here, we'll pursue a simple \"cheat,\" one that allows us to directly precompile this method. The trick is to link it, via a chain of backedges, to a method that our package owns:","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"# \"Stub\" callers for precompilability (we don't use this function for any real work)\nfunction warmup()\n mime = MIME(\"text/plain\")\n io = Base.stdout::Base.TTY\n # Container{Any}\n v = [Container{Any}(0)]\n show(io, mime, v)\n show(IOContext(io), mime, v)\n # Object\n v = [Object(0)]\n show(io, mime, v)\n show(IOContext(io), mime, v)\n return nothing\nend\n\nprecompile(warmup, ())","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"We handled not just Vector{Container{Any}} but also Vector{Object}, since that turns out to correspond to the other wide block of red bars. If you make this change, start a fresh session, and recreate the flame graph, you'll see that the wide red flames are gone:","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"(Image: flamegraph-OptimizeMeFixed)","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"info: Info\nIt's worth noting that this warmup method needed to be carefully written to succeed in its mission. stdout is not inferrable (it's a global that can be replaced by redirect_stdout), so we needed to annotate its type. We also might have been tempted to use a loop, for io in (stdout, IOContext(stdout)) ... end, but inference needs a dedicated call-site where it knows all the types. (Union-splitting can sometimes come to the rescue, but not if the list is long or elements non-inferrable.) The safest option is to make each call from a separate site in the code.","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"The next trigger, a call to sprint from inside Base.alignment(io::IO, x::Any), could also be handled using this warmup trick, but the flamegraph says this call (also marked in red) isn't an expensive method to infer. In such cases, it's fine to choose to leave it be.","category":"page"},{"location":"tutorials/snoop_inference_analysis/#Implementing-or-requesting-precompile-directives-in-upstream-packages","page":"Using @snoop_inference results to improve inferrability","title":"Implementing or requesting precompile directives in upstream packages","text":"","category":"section"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"Of the remaining triggers (now numbering 14), the flamegraph indicates that the most expensive inference run is","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"Inference triggered to call MethodInstance for show(::IOContext{IOBuffer}, ::Float32) from _show_default (./show.jl:412) with specialization MethodInstance for _show_default(::IOContext{IOBuffer}, ::Any)","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"You can check that by listing the children of ROOT in order of inclusive time:","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"julia> nodes = sort(tinf.children; by=inclusive)\n14-element Vector{SnoopCompileCore.InferenceTimingNode}:\n InferenceTimingNode: 0.000053/0.000053 on InferenceFrameInfo for ==(::Type, nothing::Nothing) with 0 direct children\n InferenceTimingNode: 0.000054/0.000054 on InferenceFrameInfo for sizeof(::Main.OptimizeMeFixed.Container{Any}) with 0 direct children\n InferenceTimingNode: 0.000061/0.000061 on InferenceFrameInfo for Base.typeinfo_eltype(::Type) with 0 direct children\n InferenceTimingNode: 0.000075/0.000380 on InferenceFrameInfo for show(::IOContext{IOBuffer}, ::Any) with 1 direct children\n InferenceTimingNode: 0.000445/0.000445 on InferenceFrameInfo for Pair{Symbol, DataType}(::Any, ::Any) with 0 direct children\n InferenceTimingNode: 0.000663/0.000663 on InferenceFrameInfo for print(::IOContext{Base.TTY}, ::String, ::String, ::Vararg{String, N} where N) with 0 direct children\n InferenceTimingNode: 0.000560/0.001049 on InferenceFrameInfo for Base.var\"#sprint#386\"(::IOContext{Base.TTY}, ::Int64, sprint::typeof(sprint), ::Function, ::Main.OptimizeMeFixed.Object) with 4 direct children\n InferenceTimingNode: 0.000441/0.001051 on InferenceFrameInfo for Pair(::Symbol, ::Type) with 1 direct children\n InferenceTimingNode: 0.000627/0.001140 on InferenceFrameInfo for Base.var\"#sprint#386\"(::IOContext{Base.TTY}, ::Int64, sprint::typeof(sprint), ::Function, ::Main.OptimizeMeFixed.Container{Any}) with 4 direct children\n InferenceTimingNode: 0.000321/0.001598 on InferenceFrameInfo for show(::IOContext{IOBuffer}, ::UInt16) with 4 direct children\n InferenceTimingNode: 0.000190/0.012516 on InferenceFrameInfo for show(::IOContext{IOBuffer}, ::Vector{Int64}) with 3 direct children\n InferenceTimingNode: 0.021179/0.033940 on InferenceFrameInfo for Base.Ryu.writeshortest(::Vector{UInt8}, ::Int64, ::Float32, ::Bool, ::Bool, ::Bool, ::Int64, ::UInt8, ::Bool, ::UInt8, ::Bool, ::Bool) with 29 direct children\n InferenceTimingNode: 0.000083/0.035496 on InferenceFrameInfo for show(::IOContext{IOBuffer}, ::Tuple{String, Int64}) with 1 direct children\n InferenceTimingNode: 0.000188/0.092555 on InferenceFrameInfo for show(::IOContext{IOBuffer}, ::Float32) with 1 direct children","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"You can see it's the most expensive remaining root, weighing in at nearly 100ms. This method is defined in the Base.Ryu module,","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"julia> node = nodes[end]\nInferenceTimingNode: 0.000188/0.092555 on InferenceFrameInfo for show(::IOContext{IOBuffer}, ::Float32) with 1 direct children\n\njulia> Method(node)\nshow(io::IO, x::T) where T<:Union{Float16, Float32, Float64} in Base.Ryu at ryu/Ryu.jl:111","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"Now, we could add this to warmup and at least solve the inference problem. However, on the flamegraph you might note that this is followed shortly by a couple of calls to Ryu.writeshortest (the third-most expensive to infer), followed by a long gap. That hints that other steps, like native code generation, may be expensive. Since these are base Julia methods, and Float32 is a common type, it would make sense to file an issue or pull request that Julia should come shipped with these precompiled–that would cache not only the type-inference but also the native code, and thus represents a far more complete solution.","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"Later, we'll see how parcel can generate such precompile directives automatically, so this is not a step you need to implement entirely on your own.","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"Another show MethodInstance, show(::IOContext{IOBuffer}, ::Tuple{String, Int64}), seems too specific to be worth worrying about, so we call it quits here.","category":"page"},{"location":"tutorials/snoop_inference_analysis/#ascend-itrig","page":"Using @snoop_inference results to improve inferrability","title":"Advanced analysis: Cthulhu.ascend","text":"","category":"section"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"One thing that hasn't yet been covered is that when you really need more insight, you can use ascend:","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"julia> itrig = itrigs[5]\nInference triggered to call MethodInstance for show(::IOContext{IOBuffer}, ::Float32) from _show_default (./show.jl:412) with specialization MethodInstance for _show_default(::IOContext{IOBuffer}, ::Any)\n\njulia> ascend(itrig)\nChoose a call for analysis (q to quit):\n > show(::IOContext{IOBuffer}, ::Float32)\n _show_default(::IOContext{IOBuffer}, ::Any) at ./show.jl:412\n show_default at ./show.jl:395 => show(::IOContext{IOBuffer}, ::Any) at ./show.jl:390\n #sprint#386(::IOContext{Base.TTY}, ::Int64, ::typeof(sprint), ::Function, ::Main.OptimizeMeFixed.Container{Any}) at ./strings/io.jl:103\n sprint##kw at ./strings/io.jl:101 => alignment at ./show.jl:2528 => alignment(::IOContext{Base.TTY}, ::Vector{Main.OptimizeMeFixed.Container{Any}}, ::UnitRange{Int64}, ::UnitRange{Int64}, ::\n print_matrix(::IOContext{Base.TTY}, ::AbstractVecOrMat{T} where T, ::String, ::String, ::String, ::String, ::String, ::String, ::Int64, ::Int64) at ./arrayshow.jl:197\n print_matrix at ./arrayshow.jl:169 => print_array at ./arrayshow.jl:323 => show(::IOContext{Base.TTY}, ::MIME{Symbol(\"text/plain\")}, ::Vector{Main.OptimizeMeFixed.Container{Any}}) at ./a\n (::REPL.var\"#38#39\"{REPL.REPLDisplay{REPL.LineEditREPL}, MIME{Symbol(\"text/plain\")}, Base.RefValue{Any}})(::Any) at /home/tim/src/julia-master/usr/share/julia/stdlib/v1.6/REPL/src/REPL\n with_repl_linfo(::Any, ::REPL.LineEditREPL) at /home/tim/src/julia-master/usr/share/julia/stdlib/v1.6/REPL/src/REPL.jl:462\nv display(::REPL.REPLDisplay, ::MIME{Symbol(\"text/plain\")}, ::Any) at /home/tim/src/julia-master/usr/share/julia/stdlib/v1.6/REPL/src/REPL.jl:213\n","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"ascend was covered in much greater detail in fixing invalidations, and you can read about using it on that page. Here, one twist is that some lines contain content like","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"show_default at ./show.jl:395 => show(::IOContext{IOBuffer}, ::Any) at ./show.jl:390","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"This indicates that show_default was inlined into show. ascend needs the full non-inlined MethodInstance to descend into, so the tree only includes such nodes. However, within Cthulhu you can toggle optimization and thereby descend into some of these inlined method, or see the full consequence of their inlining into the caller.","category":"page"},{"location":"tutorials/snoop_inference_analysis/#test-suites","page":"Using @snoop_inference results to improve inferrability","title":"A note on analyzing test suites","text":"","category":"section"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"If you're doing a package analysis, it's convenient to use the package's runtests.jl script as a way to cover much of the package's functionality. SnoopCompile has a couple of enhancements designed to make it easier to ignore inference triggers that come from the test suite itself. First, suggest.(itrigs) may show something like this:","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":" ./broadcast.jl:1315: inlineable (ignore this one)\n ./broadcast.jl:1315: inlineable (ignore this one)\n ./broadcast.jl:1315: inlineable (ignore this one)\n ./broadcast.jl:1315: inlineable (ignore this one)","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"This indicates a broadcasting operation in the @testset itself. Second, while it's a little dangerous (because suggest cannot entirely be trusted), you can filter these out:","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"julia> itrigsel = [itrig for itrig in itrigs if !isignorable(suggest(itrig))];\n\njulia> length(itrigs)\n222\n\njulia> length(itrigsel)\n71","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"While there is some risk of discarding triggers that provide clues about the origin of other triggers (e.g., they would have shown up in the same branch of the trigger_tree), the shorter list may help direct your attention to the \"real\" issues.","category":"page"},{"location":"tutorials/snoop_inference_analysis/#Results-from-the-improvements","page":"Using @snoop_inference results to improve inferrability","title":"Results from the improvements","text":"","category":"section"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"An improved version of OptimizeMe can be found in OptimizeMeFixed.jl in the same directory. Let's see where we stand:","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"julia> tinf = @snoop_inference OptimizeMeFixed.main()\n3.14 is great\n2.718 is jealous\n...\n Object x: 7\nInferenceTimingNode: 0.888522055/1.496965222 on InferenceFrameInfo for Core.Compiler.Timings.ROOT() with 15 direct children","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"We've substantially shrunk the overall inclusive time from 2.68s to about 1.5s. Some of this came from our single precompile directive, for warmup. But even more of it came from limiting specialization (using Container{Any} instead of Container) and by making some results easier on type-inference (e.g., our changes for the vcat pipeline).","category":"page"},{"location":"tutorials/snoop_inference_analysis/","page":"Using @snoop_inference results to improve inferrability","title":"Using @snoop_inference results to improve inferrability","text":"On the next page, we'll wrap all this up with more explicit precompile directives.","category":"page"},{"location":"tutorials/pgdsgui/#pgds","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"","category":"section"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"Julia's multiple dispatch allows developers to create methods for specific argument types. On top of this, the Julia compiler performs automatic specialization:","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"function countnonzeros(A::AbstractArray)\n ...\nend","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"will be compiled separately for Vector{Int}, Matrix{Float64}, SubArray{...}, and so on, if it gets called for each of these types. Each specialization (each MethodInstance with different argument types) costs extra inference and code-generation time, so while specialization often improves runtime performance, that has to be weighed against the cost in latency. There are also cases in which overspecialization can hurt both run-time and compile-time performance. Consequently, an analysis of specialization can be a powerful tool for improving package quality.","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"SnoopCompile ships with an interactive tool, pgdsgui, short for \"Profile-guided despecialization.\" The name is a reference to a related technique, profile-guided optimization (PGO). Both PGO and PGDS use runtime profiling to help guide decisions about code optimization. PGO is often used in languages whose default mode is to avoid specialization, whereas PGDS seems more appropriate for a language like Julia which specializes by default. While PGO is sometimes an automatic part of the compiler that optimizes code midstream during execution, SnoopCompile's PGDS is a tool for making static changes (edits) to code. Again, this seems appropriate for a language where specialization typically happens prior to the first execution of the code.","category":"page"},{"location":"tutorials/pgdsgui/#Using-the-PGDS-graphical-user-interface","page":"Profile-guided despecialization","title":"Using the PGDS graphical user interface","text":"","category":"section"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"To illustrate the use of PGDS, we'll examine an example in which some methods get specialized for hundreds of types. To keep this example short, we'll create functions that operate on types themselves.","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"note: Note\nAs background to this example, for a DataType T, T.name returns a Core.TypeName, and T.name.name returns the name as a Symbol. Base.unwrap_unionall(T) preserves DataTypes as-is, but converts a UnionAll type into a DataType.","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"\"\"\"\n spelltype(T::Type)\n\nSpell out a type's name, one character at a time.\n\"\"\"\nfunction spelltype(::Type{T}) where T\n name = Base.unwrap_unionall(T).name.name\n str = \"\"\n for c in string(name)\n str *= c\n end\n return str\nend\n\n\"\"\"\n mappushes!(f, dest, src)\n\nLike `map!` except it grows `dest` by one for each element in `src`.\n\"\"\"\nfunction mappushes!(f, dest, src)\n for item in src\n push!(dest, f(item))\n end\n return dest\nend\n\nmappushes(f, src) = mappushes!(f, [], src)","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"There are two stages to PGDS: first (and preferrably starting in a fresh Julia session), we profile type-inference:","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"julia> using SnoopCompileCore\n\njulia> Ts = subtypes(Any); # get a long list of different types\n\njulia> tinf = @snoop_inference mappushes(spelltype, Ts);","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"Then, in the same session, profile the runtime:","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"julia> using Profile\n\njulia> @profile mappushes(spelltype, Ts);","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"Typically, it's best if the workload here is reflective of a \"real\" workload (test suites often are not), so that you get a realistic view of where your code spends its time during actual use.","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"Now let's launch the PDGS GUI:","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"julia> using SnoopCompile\n\njulia> import PyPlot # the GUI is dependent on PyPlot, must load it before the next line\n\njulia> mref, ax = pgdsgui(tinf);","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"You should see something like this:","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"(Image: pgdsgui)","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"In this graph, each dot corresponds to a single method; for this method, we plot inference time (vertical axis) against the run time (horizontal axis). The coloration of each dot encodes the number of specializations (the number of distinct MethodInstances) for that method; by default it even includes the number of times the method was inferred for specific constants (constant propagation), although you can exclude those cases using the consts=false keyword. Finally, the edge of each dot encodes the fraction of time spent on runtime dispatch (aka, type-instability), with black indicating 0% and bright red indicating 100%.","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"In this plot, we can see that no method runs for more than 0.01 seconds, whereas some methods have an aggregate inference time of up to 1s. Overall, inference-time dominates this plot. Moreover, for the most expensive cases, the number of specializations is in the hundreds or thousands.","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"To learn more about what is being specialized, just click on one of the dots; if you choose the upper-left dot (the one with highest inference time), you should see something like this in your REPL:","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"spelltype(::Type{T}) where T in Main at REPL[1]:6 (586 specializations)","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"This tells you the method corresponding to this dot. Moreover, mref (one of the outputs of pgdsgui) holds this method:","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"julia> mref[]\nspelltype(::Type{T}) where T in Main at REPL[1]:6","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"What are the specializations, and how costly was each?","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"julia> collect_for(mref[], tinf)\n586-element Vector{SnoopCompileCore.InferenceTimingNode}:\n InferenceTimingNode: 0.003486/0.020872 on InferenceFrameInfo for spelltype(::Type{T}) where T with 7 direct children\n InferenceTimingNode: 0.003281/0.003892 on InferenceFrameInfo for spelltype(::Type{AbstractArray}) with 2 direct children\n InferenceTimingNode: 0.003349/0.004023 on InferenceFrameInfo for spelltype(::Type{AbstractChannel}) with 2 direct children\n InferenceTimingNode: 0.000827/0.001154 on InferenceFrameInfo for spelltype(::Type{AbstractChar}) with 5 direct children\n InferenceTimingNode: 0.003326/0.004070 on InferenceFrameInfo for spelltype(::Type{AbstractDict}) with 2 direct children\n InferenceTimingNode: 0.000833/0.001159 on InferenceFrameInfo for spelltype(::Type{AbstractDisplay}) with 5 direct children\n⋮\n InferenceTimingNode: 0.000848/0.001160 on InferenceFrameInfo for spelltype(::Type{YAML.Span}) with 5 direct children\n InferenceTimingNode: 0.000838/0.001148 on InferenceFrameInfo for spelltype(::Type{YAML.Token}) with 5 direct children\n InferenceTimingNode: 0.000833/0.001150 on InferenceFrameInfo for spelltype(::Type{YAML.TokenStream}) with 5 direct children\n InferenceTimingNode: 0.000809/0.001126 on InferenceFrameInfo for spelltype(::Type{YAML.YAMLDocIterator}) with 5 direct children","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"So we can see that one MethodInstance for each type in Ts was generated.","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"If you see a list of MethodInstances, and the first is extremely costly in terms of inclusive time, but all the rest are not, then you might not need to worry much about over-specialization: your inference time will be dominated by that one costly method (often, the first time the method was called), and the fact that lots of additional specializations were generated may not be anything to worry about. However, in this case, the distribution of time is fairly flat, each contributing a small portion to the overall time. In such cases, over-specialization may be a problem.","category":"page"},{"location":"tutorials/pgdsgui/#Reducing-specialization-with-@nospecialize","page":"Profile-guided despecialization","title":"Reducing specialization with @nospecialize","text":"","category":"section"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"How might we change this? To reduce the number of specializations of spelltype, we use @nospecialize in its definition:","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"function spelltype(@nospecialize(T::Type))\n name = Base.unwrap_unionall(T).name.name\n str = \"\"\n for c in string(name)\n str *= c\n end\n return str\nend","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"warning: Warning\nwhere type-parameters force specialization: regardless of @nospecialize: in spelltype(@nospecialize(::Type{T})) where T, the @nospecialize has no impact and you'll get full specialization on T. Instead, use @nospecialize(T::Type) as shown.","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"If we now rerun that demo, you should see a plot of the same kind as shown above, but with different costs for each dot. The differences are best appreciated comparing them side-by-side (pgdsgui allows you to specify a particular axis into which to plot):","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"(Image: pgdsgui-compare)","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"The results with @nospecialize are shown on the right. You can see that:","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"Now, the most expensive-to-infer method is <0.01s (formerly it was ~1s)\nNo method has more than 2 specializations","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"Moreover, our runtimes (post-compilation) really aren't very different, both in the ballpark of a few millseconds (you can check with @btime from BenchmarkTools to be sure).","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"In total, we've reduced compilation time approximately 50× without appreciably hurting runtime performance. Reducing specialization, when appropriate, can often yield your biggest reductions in latency.","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"tip: Tip\nWhen you add @nospecialize, sometimes it's beneficial to compensate for the loss of inferrability by adding some type assertions. This topic will be discussed in greater detail in the next section, but for the example above we can improve runtime performance by annotating the return type of Base.unwrap_unionall(T): name = (Base.unwrap_unionall(T)::DataType).name.name. Then, later lines in spelltype know that name is a Symbol.With this change, the unspecialized variant outperforms the specialized variant in both compile-time and run-time. The reason is that the specialized variant of spell needs to be called by runtime dispatch, whereas for the unspecialized variant there's only one MethodInstance, so its dispatch is handled at compile time.","category":"page"},{"location":"tutorials/pgdsgui/#Blocking-inference:-Base.@nospecializeinfer","page":"Profile-guided despecialization","title":"Blocking inference: Base.@nospecializeinfer","text":"","category":"section"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"Perhaps surprisingly, @nospecialize doesn't prevent Julia's type-inference from inspecting a method. The reason is that it's sometimes useful if the caller knows what type will be returned, even if the callee doesn't exploit this information. In our mappushes example, this isn't an issue, because Ts is a Vector{Any} and this already defeats inference. But in other cases, the caller may be inferable but (to save inference time) you'd prefer to block inference from inspecting the method.","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"Beginning with Julia 1.10, you can prevent even inference from \"looking at\" @nospecialized arguments with Base.@nospecializeinfer:","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"Base.@nospecializeinfer function spelltype(@nospecialize(T::Type))\n name = (Base.unwrap_unionall(T)::DataType).name.name\n str = \"\"\n for c in string(name)\n str *= c\n end\n return str\nend","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"Note that the ::DataType annotation described in the tip above is still effective and recommended. @nospecializeinfer directly affects only arguments that are marked with @nospecialize, and in this case the type-assertion prevents type uncertainty from propagating to the remainder of the function.","category":"page"},{"location":"tutorials/pgdsgui/#Argument-standardization","page":"Profile-guided despecialization","title":"Argument standardization","text":"","category":"section"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"While not immediately relevant to the example above, a very important technique that falls within the domain of reducing specialization is argument standardization: instead of","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"function foo(x, y)\n # some huge function, slow to compile, and you'd prefer not to compile it many times for different types of x and y\nend","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"consider whether you can safely write this as","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"function foo(x::X, y::Y) # X and Y are concrete types\n # some huge function, but the concrete typing ensures you only compile it once\nend\nfoo(x, y) = foo(convert(X, x)::X, convert(Y, y)::Y) # this allows you to still call it with any argument types","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"The \"standardizing method\" foo(x, y) is short and therefore quick to compile, so it doesn't really matter if you compile many different instances.","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"tip: Tip\nIn convert(X, x)::X, the final ::X guards against a broken convert method that fails to return an object of type X. Without it, foo(x, y) might call itself in an infinite loop, ultimately triggering a StackOverflowError. StackOverflowErrors are a particularly nasty form of error, and the typeassert ensures that you get a simple TypeError instead.In other contexts, such typeasserts would also have the effect of fixing inference problems even if the type of x is not well-inferred (this will be discussed in more detail later), but in this case dispatch to foo(x::X, y::Y) would have ensured the same outcome.","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"There are of course cases where you can't implement your code in this way: after all, part of the power of Julia is the ability of generic methods to \"do the right thing\" for a wide variety of types. But in cases where you're doing a standard task, e.g., writing some data to a file, there's really no good reason to recompile your save method for a filename encoded as a String and again for a SubString{String} and again for a SubstitutionString and again for an AbstractString and ...: after all, the core of the save method probably isn't sensitive to the precise encoding of the filename. In such cases, it should be safe to convert all filenames to String, thereby reducing the diversity of input arguments for expensive-to-compile methods.","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"If you're using pgdsgui, the cost of inference and the number of specializations may guide you to click on specific dots; collect_for(mref[], tinf) then allows you to detect and diagnose cases where argument standardization might be helpful.","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"You can do the same analysis without pgdsgui. The opportunity for argument standardization is often facilitated by looking at, e.g.,","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"julia> tms = accumulate_by_source(flatten(tinf)); # collect all MethodInstances that belong to the same Method\n\njulia> t, m = tms[end-1] # the ones towards the end take the most time, maybe they are over-specialized?\n(0.4138147, save(filename::AbstractString, data) in SomePkg at /pathto/SomePkg/src/SomePkg.jl:23)\n\njulia> methodinstances(m) # let's see what specializations we have\n7-element Vector{Core.MethodInstance}:\n MethodInstance for save(::String, ::Vector{SomePkg.SomeDataType})\n MethodInstance for save(::SubString{String}, ::Vector{SomePkg.SomeDataType})\n MethodInstance for save(::AbstractString, ::Vector{SomePkg.SomeDataType})\n MethodInstance for save(::String, ::Vector{SomePkg.SomeDataType{SubString{String}}})\n MethodInstance for save(::SubString{String}, ::Array)\n MethodInstance for save(::String, ::Vector{var\"#s92\"} where var\"#s92\"<:SomePkg.SomeDataType)\n MethodInstance for save(::String, ::Array)","category":"page"},{"location":"tutorials/pgdsgui/","page":"Profile-guided despecialization","title":"Profile-guided despecialization","text":"In this case we have 7 MethodInstances (some of which are clearly due to poor inferrability of the caller) when one might suffice.","category":"page"},{"location":"reference/#Reference","page":"Reference","title":"Reference","text":"","category":"section"},{"location":"reference/#Data-collection","page":"Reference","title":"Data collection","text":"","category":"section"},{"location":"reference/","page":"Reference","title":"Reference","text":"SnoopCompileCore.@snoop_invalidations\nSnoopCompileCore.@snoop_inference\nSnoopCompileCore.@snoop_llvm","category":"page"},{"location":"reference/#SnoopCompileCore.@snoop_invalidations","page":"Reference","title":"SnoopCompileCore.@snoop_invalidations","text":"invs = @snoop_invalidations expr\n\nCapture method cache invalidations triggered by evaluating expr. invs is a sequence of invalidated Core.MethodInstances together with \"explanations,\" consisting of integers (encoding depth) and strings (documenting the source of an invalidation).\n\nUnless you are working at a low level, you essentially always want to pass invs directly to SnoopCompile.invalidation_trees.\n\nExtended help\n\ninvs is in a format where the \"reason\" comes after the items. Method deletion results in the sequence\n\n[zero or more (mi, \"invalidate_mt_cache\") pairs..., zero or more (depth1 tree, loctag) pairs..., method, loctag] with loctag = \"jl_method_table_disable\"\n\nwhere mi means a MethodInstance. depth1 means a sequence starting at depth=1.\n\nMethod insertion results in the sequence\n\n[zero or more (depth0 tree, sig) pairs..., same info as with delete_method except loctag = \"jl_method_table_insert\"]\n\nThe authoritative reference is Julia's own src/gf.c file.\n\n\n\n\n\n","category":"macro"},{"location":"reference/#SnoopCompileCore.@snoop_inference","page":"Reference","title":"SnoopCompileCore.@snoop_inference","text":"tinf = @snoop_inference commands;\n\nProduce a profile of julia's type inference, recording the amount of time spent inferring every MethodInstance processed while executing commands. Each fresh entrance to type inference (whether executed directly in commands or because a call was made by runtime-dispatch) also collects a backtrace so the caller can be identified.\n\ntinf is a tree, each node containing data on a particular inference \"frame\" (the method, argument-type specializations, parameters, and even any constant-propagated values). Each reports the exclusive/inclusive times, where the exclusive time corresponds to the time spent inferring this frame in and of itself, whereas the inclusive time includes the time needed to infer all the callees of this frame.\n\nThe top-level node in this profile tree is ROOT. Uniquely, its exclusive time corresponds to the time spent not in julia's type inference (codegen, llvm_opt, runtime, etc).\n\nWorking with tinf effectively requires loading SnoopCompile.\n\nwarning: Warning\nNote the semicolon ; at the end of the @snoop_inference macro call. Because SnoopCompileCore is not permitted to invalidate any code, it cannot define the Base.show methods that pretty-print tinf. Defer inspection of tinf until SnoopCompile has been loaded.\n\nExample\n\njulia> tinf = @snoop_inference begin\n sort(rand(100)) # Evaluate some code and profile julia's type inference\n end;\n\n\n\n\n\n","category":"macro"},{"location":"reference/#SnoopCompileCore.@snoop_llvm","page":"Reference","title":"SnoopCompileCore.@snoop_llvm","text":"@snoop_llvm \"func_names.csv\" \"llvm_timings.yaml\" begin\n # Commands to execute, in a new process\nend\n\ncauses the julia compiler to log timing information for LLVM optimization during the provided commands to the files \"funcnames.csv\" and \"llvmtimings.yaml\". These files can be used for the input to SnoopCompile.read_snoop_llvm(\"func_names.csv\", \"llvm_timings.yaml\").\n\nThe logs contain the amount of time spent optimizing each \"llvm module\", and information about each module, where a module is a collection of functions being optimized together.\n\n\n\n\n\n","category":"macro"},{"location":"reference/#GUIs","page":"Reference","title":"GUIs","text":"","category":"section"},{"location":"reference/","page":"Reference","title":"Reference","text":"flamegraph\npgdsgui","category":"page"},{"location":"reference/#SnoopCompile.flamegraph","page":"Reference","title":"SnoopCompile.flamegraph","text":"flamegraph(tinf::InferenceTimingNode; tmin=0.0, excluded_modules=Set([Main]), mode=nothing)\n\nConvert the call tree of inference timings returned from @snoop_inference into a FlameGraph. Returns a FlameGraphs.FlameGraph structure that represents the timing trace recorded for type inference.\n\nFrames that take less than tmin seconds of inclusive time will not be included in the resultant FlameGraph (meaning total time including it and all of its children). This can be helpful if you have a very big profile, to save on processing time.\n\nNon-precompilable frames are marked in reddish colors. excluded_modules can be used to mark methods defined in modules to which you cannot or do not wish to add precompiles.\n\nmode controls how frames are named in tools like ProfileView. nothing uses the default of just the qualified function name, whereas supplying mode=Dict(method => count) counting the number of specializations of each method will cause the number of specializations to be included in the frame name.\n\nExample\n\nWe'll use SnoopCompile.flatten_demo, which runs @snoop_inference on a workload designed to yield reproducible results:\n\njulia> tinf = SnoopCompile.flatten_demo()\nInferenceTimingNode: 0.002148974/0.002767166 on Core.Compiler.Timings.ROOT() with 1 direct children\n\njulia> fg = flamegraph(tinf)\nNode(FlameGraphs.NodeData(ROOT() at typeinfer.jl:75, 0x00, 0:3334431))\n\njulia> ProfileView.view(fg); # Display the FlameGraph in a package that supports it\n\nYou should be able to reconcile the resulting flamegraph to print_tree(tinf) (see flatten).\n\nThe empty horizontal periods in the flamegraph correspond to times when something other than inference is running. The total width of the flamegraph is set from the ROOT node.\n\n\n\n\n\n","category":"function"},{"location":"reference/#SnoopCompile.pgdsgui","page":"Reference","title":"SnoopCompile.pgdsgui","text":"methodref, ax = pgdsgui(tinf::InferenceTimingNode; consts::Bool=true, by=inclusive)\nmethodref = pgdsgui(ax, tinf::InferenceTimingNode; kwargs...)\n\nCreate a scatter plot comparing: - (vertical axis) the inference time for all instances of each Method, as captured by tinf; - (horizontal axis) the run time cost, as estimated by capturing a @profile before calling this function.\n\nEach dot corresponds to a single method. The face color encodes the number of times that method was inferred, and the edge color corresponds to the fraction of the runtime spent on runtime dispatch (black is 0%, bright red is 100%). Clicking on a dot prints the method (or location, if inlined) to the REPL, and sets methodref[] to that method.\n\nax is the pyplot axis of the scatterplot.\n\ncompat: Compat\npgdsgui depends on PyPlot via the Requires.jl package. You must load both SnoopCompile and PyPlot for this function to be defined.\n\n\n\n\n\n","category":"function"},{"location":"reference/#Analysis-of-invalidations","page":"Reference","title":"Analysis of invalidations","text":"","category":"section"},{"location":"reference/","page":"Reference","title":"Reference","text":"uinvalidated\ninvalidation_trees\nprecompile_blockers\nfiltermod\nfindcaller\nreport_invalidations","category":"page"},{"location":"reference/#SnoopCompile.uinvalidated","page":"Reference","title":"SnoopCompile.uinvalidated","text":"umis = uinvalidated(invlist)\n\nReturn the unique invalidated MethodInstances. invlist is obtained from SnoopCompileCore.@snoop_invalidations. This is similar to filtering for MethodInstances in invlist, except that it discards any tagged \"invalidate_mt_cache\". These can typically be ignored because they are nearly inconsequential: they do not invalidate any compiled code, they only transiently affect an optimization of runtime dispatch.\n\n\n\n\n\n","category":"function"},{"location":"reference/#SnoopCompile.invalidation_trees","page":"Reference","title":"SnoopCompile.invalidation_trees","text":"trees = invalidation_trees(list)\n\nParse list, as captured by SnoopCompileCore.@snoop_invalidations, into a set of invalidation trees, where parents nodes were called by their children.\n\nExample\n\njulia> f(x::Int) = 1\nf (generic function with 1 method)\n\njulia> f(x::Bool) = 2\nf (generic function with 2 methods)\n\njulia> applyf(container) = f(container[1])\napplyf (generic function with 1 method)\n\njulia> callapplyf(container) = applyf(container)\ncallapplyf (generic function with 1 method)\n\njulia> c = Any[1]\n1-element Array{Any,1}:\n 1\n\njulia> callapplyf(c)\n1\n\njulia> trees = invalidation_trees(@snoop_invalidations f(::AbstractFloat) = 3)\n1-element Array{SnoopCompile.MethodInvalidations,1}:\n inserting f(::AbstractFloat) in Main at REPL[36]:1 invalidated:\n mt_backedges: 1: signature Tuple{typeof(f),Any} triggered MethodInstance for applyf(::Array{Any,1}) (1 children) more specific\n\nSee the documentation for further details.\n\n\n\n\n\n","category":"function"},{"location":"reference/#SnoopCompile.precompile_blockers","page":"Reference","title":"SnoopCompile.precompile_blockers","text":"staletrees = precompile_blockers(invalidations, tinf::InferenceTimingNode)\n\nSelect just those invalidations that contribute to \"stale nodes\" in tinf, and link them together. This can allow one to identify specific blockers of precompilation for particular MethodInstances.\n\nExample\n\nusing SnoopCompileCore\ninvalidations = @snoop_invalidations using PkgA, PkgB;\nusing SnoopCompile\ntrees = invalidation_trees(invalidations)\ntinf = @snoop_inference begin\n some_workload()\nend\nstaletrees = precompile_blockers(trees, tinf)\n\nIn many cases, this reduces the number of invalidations that require analysis by one or more orders of magnitude.\n\ninfo: Info\nprecompile_blockers is experimental and has not yet been thoroughly vetted by real-world use. Users are encouraged to try it and report any \"misses\" or unnecessary \"hits.\"\n\n\n\n\n\n","category":"function"},{"location":"reference/#SnoopCompile.filtermod","page":"Reference","title":"SnoopCompile.filtermod","text":"modtrigs = filtermod(mod::Module, mtrigs::AbstractVector{MethodTriggers})\n\nSelect just the method-based triggers arising from a particular module.\n\n\n\n\n\nthinned = filtermod(module, trees::AbstractVector{MethodInvalidations}; recursive=false)\n\nSelect just the cases of invalidating a method defined in module.\n\nIf recursive is false, only the roots of trees are examined (i.e., the proximal source of the invalidation must be in module). If recursive is true, then thinned contains all routes to a method in module.\n\n\n\n\n\n","category":"function"},{"location":"reference/#SnoopCompile.findcaller","page":"Reference","title":"SnoopCompile.findcaller","text":"methinvs = findcaller(method::Method, trees)\n\nFind a path through trees that reaches method. Returns a single MethodInvalidations object.\n\nExamples\n\nSuppose you know that loading package SomePkg triggers invalidation of f(data). You can find the specific source of invalidation as follows:\n\nf(data) # run once to force compilation\nm = @which f(data)\nusing SnoopCompile\ntrees = invalidation_trees(@snoop_invalidations using SomePkg)\nmethinvs = findcaller(m, trees)\n\nIf you don't know which method to look for, but know some operation that has had added latency, you can look for methods using @snoopi. For example, suppose that loading SomePkg makes the next using statement slow. You can find the source of trouble with\n\njulia> using SnoopCompile\n\njulia> trees = invalidation_trees(@snoop_invalidations using SomePkg);\n\njulia> tinf = @snoopi using SomePkg # this second `using` will need to recompile code invalidated above\n1-element Array{Tuple{Float64,Core.MethodInstance},1}:\n (0.08518409729003906, MethodInstance for require(::Module, ::Symbol))\n\njulia> m = tinf[1][2].def\nrequire(into::Module, mod::Symbol) in Base at loading.jl:887\n\njulia> findcaller(m, trees)\ninserting ==(x, y::SomeType) in SomeOtherPkg at /path/to/code:100 invalidated:\n backedges: 1: superseding ==(x, y) in Base at operators.jl:83 with MethodInstance for ==(::Symbol, ::Any) (16 children) more specific\n\n\n\n\n\n","category":"function"},{"location":"reference/#SnoopCompile.report_invalidations","page":"Reference","title":"SnoopCompile.report_invalidations","text":"report_invalidations(\n io::IO = stdout;\n invalidations,\n n_rows::Int = 10,\n process_filename::Function = x -> x,\n)\n\nPrint a tabular summary of invalidations given:\n\ninvalidations the output of SnoopCompileCore.@snoop_invalidations\n\nand (optionally)\n\nio::IO IO stream. Defaults to stdout\nn_rows::Int the number of rows to be displayed in the truncated table. A value of 0 indicates no truncation. A positive value will truncate the table to the specified number of rows.\nprocess_filename(::String)::String a function to post-process each filename, where invalidations are found\n\nExample usage\n\nimport SnoopCompileCore\ninvalidations = SnoopCompileCore.@snoop_invalidations begin\n\n # load packages & define any additional methods\n\nend;\n\nusing SnoopCompile\nusing PrettyTables # to load report_invalidations\nreport_invalidations(;invalidations)\n\nUsing report_invalidations requires that you first load the PrettyTables.jl package.\n\n\n\n\n\n","category":"function"},{"location":"reference/#Analysis-of-@snoop_inference","page":"Reference","title":"Analysis of @snoop_inference","text":"","category":"section"},{"location":"reference/","page":"Reference","title":"Reference","text":"flatten\nexclusive\ninclusive\naccumulate_by_source\ncollect_for\nstaleinstances\ninference_triggers\ntrigger_tree\nsuggest\nisignorable\ncallerinstance\ncallingframe\nskiphigherorder\nInferenceTrigger\nruntime_inferencetime\nSnoopCompile.parcel\nSnoopCompile.write\nreport_callee\nreport_callees\nreport_caller","category":"page"},{"location":"reference/#SnoopCompile.flatten","page":"Reference","title":"SnoopCompile.flatten","text":"flatten(tinf; tmin = 0.0, sortby=exclusive)\n\nFlatten the execution graph of InferenceTimingNodes returned from @snoop_inference into a Vector of InferenceTiming frames, each encoding the time needed for inference of a single MethodInstance. By default, results are sorted by exclusive time (the time for inferring the MethodInstance itself, not including any inference of its callees); other options are sortedby=inclusive which includes the time needed for the callees, or nothing to obtain them in the order they were inferred (depth-first order).\n\nExample\n\nWe'll use SnoopCompile.flatten_demo, which runs @snoop_inference on a workload designed to yield reproducible results:\n\njulia> tinf = SnoopCompile.flatten_demo()\nInferenceTimingNode: 0.002148974/0.002767166 on Core.Compiler.Timings.ROOT() with 1 direct children\n\njulia> using AbstractTrees; print_tree(tinf)\nInferenceTimingNode: 0.00242354/0.00303526 on Core.Compiler.Timings.ROOT() with 1 direct children\n└─ InferenceTimingNode: 0.000150891/0.000611721 on SnoopCompile.FlattenDemo.packintype(::Int64) with 2 direct children\n ├─ InferenceTimingNode: 0.000105318/0.000105318 on SnoopCompile.FlattenDemo.MyType{Int64}(::Int64) with 0 direct children\n └─ InferenceTimingNode: 9.43e-5/0.000355512 on SnoopCompile.FlattenDemo.dostuff(::SnoopCompile.FlattenDemo.MyType{Int64}) with 2 direct children\n ├─ InferenceTimingNode: 6.6458e-5/0.000124716 on SnoopCompile.FlattenDemo.extract(::SnoopCompile.FlattenDemo.MyType{Int64}) with 2 direct children\n │ ├─ InferenceTimingNode: 3.401e-5/3.401e-5 on getproperty(::SnoopCompile.FlattenDemo.MyType{Int64}, ::Symbol) with 0 direct children\n │ └─ InferenceTimingNode: 2.4248e-5/2.4248e-5 on getproperty(::SnoopCompile.FlattenDemo.MyType{Int64}, x::Symbol) with 0 direct children\n └─ InferenceTimingNode: 0.000136496/0.000136496 on SnoopCompile.FlattenDemo.domath(::Int64) with 0 direct children\n\nNote the printing of getproperty(::SnoopCompile.FlattenDemo.MyType{Int64}, x::Symbol): it shows the specific Symbol, here :x, that getproperty was inferred with. This reflects constant-propagation in inference.\n\nThen:\n\njulia> flatten(tinf; sortby=nothing)\n8-element Vector{SnoopCompileCore.InferenceTiming}:\n InferenceTiming: 0.002423543/0.0030352639999999998 on Core.Compiler.Timings.ROOT()\n InferenceTiming: 0.000150891/0.0006117210000000001 on SnoopCompile.FlattenDemo.packintype(::Int64)\n InferenceTiming: 0.000105318/0.000105318 on SnoopCompile.FlattenDemo.MyType{Int64}(::Int64)\n InferenceTiming: 9.43e-5/0.00035551200000000005 on SnoopCompile.FlattenDemo.dostuff(::SnoopCompile.FlattenDemo.MyType{Int64})\n InferenceTiming: 6.6458e-5/0.000124716 on SnoopCompile.FlattenDemo.extract(::SnoopCompile.FlattenDemo.MyType{Int64})\n InferenceTiming: 3.401e-5/3.401e-5 on getproperty(::SnoopCompile.FlattenDemo.MyType{Int64}, ::Symbol)\n InferenceTiming: 2.4248e-5/2.4248e-5 on getproperty(::SnoopCompile.FlattenDemo.MyType{Int64}, x::Symbol)\n InferenceTiming: 0.000136496/0.000136496 on SnoopCompile.FlattenDemo.domath(::Int64)\n\njulia> flatten(tinf; tmin=1e-4) # sorts by exclusive time (the time before the '/')\n4-element Vector{SnoopCompileCore.InferenceTiming}:\n InferenceTiming: 0.000105318/0.000105318 on SnoopCompile.FlattenDemo.MyType{Int64}(::Int64)\n InferenceTiming: 0.000136496/0.000136496 on SnoopCompile.FlattenDemo.domath(::Int64)\n InferenceTiming: 0.000150891/0.0006117210000000001 on SnoopCompile.FlattenDemo.packintype(::Int64)\n InferenceTiming: 0.002423543/0.0030352639999999998 on Core.Compiler.Timings.ROOT()\n\njulia> flatten(tinf; sortby=inclusive, tmin=1e-4) # sorts by inclusive time (the time after the '/')\n6-element Vector{SnoopCompileCore.InferenceTiming}:\n InferenceTiming: 0.000105318/0.000105318 on SnoopCompile.FlattenDemo.MyType{Int64}(::Int64)\n InferenceTiming: 6.6458e-5/0.000124716 on SnoopCompile.FlattenDemo.extract(::SnoopCompile.FlattenDemo.MyType{Int64})\n InferenceTiming: 0.000136496/0.000136496 on SnoopCompile.FlattenDemo.domath(::Int64)\n InferenceTiming: 9.43e-5/0.00035551200000000005 on SnoopCompile.FlattenDemo.dostuff(::SnoopCompile.FlattenDemo.MyType{Int64})\n InferenceTiming: 0.000150891/0.0006117210000000001 on SnoopCompile.FlattenDemo.packintype(::Int64)\n InferenceTiming: 0.002423543/0.0030352639999999998 on Core.Compiler.Timings.ROOT()\n\nAs you can see, sortby affects not just the order but also the selection of frames; with exclusive times, dostuff did not on its own rise above threshold, but it does when using inclusive times.\n\nSee also: accumulate_by_source.\n\n\n\n\n\n","category":"function"},{"location":"reference/#SnoopCompileCore.exclusive","page":"Reference","title":"SnoopCompileCore.exclusive","text":"exclusive(frame)\n\nReturn the time spent inferring frame, not including the time needed for any of its callees.\n\n\n\n\n\n","category":"function"},{"location":"reference/#SnoopCompileCore.inclusive","page":"Reference","title":"SnoopCompileCore.inclusive","text":"inclusive(frame)\n\nReturn the time spent inferring frame and its callees.\n\n\n\n\n\n","category":"function"},{"location":"reference/#SnoopCompile.accumulate_by_source","page":"Reference","title":"SnoopCompile.accumulate_by_source","text":"accumulate_by_source(flattened; tmin = 0.0, by=exclusive)\n\nAdd the inference timings for all MethodInstances of a single Method together. flattened is the output of flatten. Returns a list of (t, method) tuples.\n\nWhen the accumulated time for a Method is large, but each instance is small, it indicates that it is being inferred for many specializations (which might include specializations with different constants).\n\nExample\n\nWe'll use SnoopCompile.flatten_demo, which runs @snoop_inference on a workload designed to yield reproducible results:\n\njulia> tinf = SnoopCompile.flatten_demo()\nInferenceTimingNode: 0.004978/0.005447 on Core.Compiler.Timings.ROOT() with 1 direct children\n\njulia> accumulate_by_source(flatten(tinf))\n7-element Vector{Tuple{Float64, Union{Method, Core.MethodInstance}}}:\n (4.6294999999999996e-5, getproperty(x, f::Symbol) @ Base Base.jl:37)\n (5.8965e-5, dostuff(y) @ SnoopCompile.FlattenDemo ~/.julia/dev/SnoopCompile/src/inference_demos.jl:45)\n (6.4141e-5, extract(y::SnoopCompile.FlattenDemo.MyType) @ SnoopCompile.FlattenDemo ~/.julia/dev/SnoopCompile/src/inference_demos.jl:36)\n (8.9997e-5, (var\"#ctor-self#\"::Type{SnoopCompile.FlattenDemo.MyType{T}} where T)(x) @ SnoopCompile.FlattenDemo ~/.julia/dev/SnoopCompile/src/inference_demos.jl:35)\n (9.2256e-5, domath(x) @ SnoopCompile.FlattenDemo ~/.julia/dev/SnoopCompile/src/inference_demos.jl:41)\n (0.000117514, packintype(x) @ SnoopCompile.FlattenDemo ~/.julia/dev/SnoopCompile/src/inference_demos.jl:37)\n (0.004977755, ROOT() @ Core.Compiler.Timings compiler/typeinfer.jl:79)\n\nCompared to the output from flatten, the two inferences passes on getproperty have been consolidated into a single aggregate call.\n\n\n\n\n\nmtrigs = accumulate_by_source(Method, itrigs::AbstractVector{InferenceTrigger})\n\nConsolidate inference triggers via their caller method. mtrigs is a vector of Method=>list pairs, where list is a list of InferenceTriggers.\n\n\n\n\n\nloctrigs = accumulate_by_source(itrigs::AbstractVector{InferenceTrigger})\n\nAggregate inference triggers by location (function, file, and line number) of the caller.\n\nExample\n\nWe collect data using the SnoopCompile.itrigs_demo:\n\njulia> itrigs = inference_triggers(SnoopCompile.itrigs_demo())\n2-element Vector{InferenceTrigger}:\n Inference triggered to call MethodInstance for double(::UInt8) from calldouble1 (/pathto/SnoopCompile/src/parcel_snoop_inference.jl:762) inlined into MethodInstance for calldouble2(::Vector{Vector{Any}}) (/pathto/SnoopCompile/src/parcel_snoop_inference.jl:763)\n Inference triggered to call MethodInstance for double(::Float64) from calldouble1 (/pathto/SnoopCompile/src/parcel_snoop_inference.jl:762) inlined into MethodInstance for calldouble2(::Vector{Vector{Any}}) (/pathto/SnoopCompile/src/parcel_snoop_inference.jl:763)\n\njulia> accumulate_by_source(itrigs)\n1-element Vector{SnoopCompile.LocationTriggers}:\n calldouble1 at /pathto/SnoopCompile/src/parcel_snoop_inference.jl:762 (2 callees from 1 callers)\n\n\n\n\n\n","category":"function"},{"location":"reference/#SnoopCompile.collect_for","page":"Reference","title":"SnoopCompile.collect_for","text":"list = collect_for(m::Method, tinf::InferenceTimingNode)\nlist = collect_for(m::MethodInstance, tinf::InferenceTimingNode)\n\nCollect all InferenceTimingNodes (descendants of tinf) that match m.\n\n\n\n\n\n","category":"function"},{"location":"reference/#SnoopCompile.staleinstances","page":"Reference","title":"SnoopCompile.staleinstances","text":"staleinstances(tinf::InferenceTimingNode)\n\nReturn a list of InferenceTimingNodes corresponding to MethodInstances that have \"stale\" code (specifically, CodeInstances with outdated max_world world ages). These may be a hint that invalidation occurred while running the workload provided to @snoop_inference, and consequently an important origin of (re)inference.\n\nwarning: Warning\nstaleinstances only looks retrospectively for stale code; it does not distinguish whether the code became stale while running @snoop_inference from whether it was already stale before execution commenced.\n\nWhile staleinstances is recommended as a useful \"sanity check\" to run before performing a detailed analysis of inference, any serious examination of invalidation should use @snoop_invalidations.\n\nFor more information about world age, see https://docs.julialang.org/en/v1/manual/methods/#Redefining-Methods.\n\n\n\n\n\n","category":"function"},{"location":"reference/#SnoopCompile.inference_triggers","page":"Reference","title":"SnoopCompile.inference_triggers","text":"itrigs = inference_triggers(tinf::InferenceTimingNode; exclude_toplevel=true)\n\nCollect the \"triggers\" of inference, each a fresh entry into inference via a call dispatched at runtime. All the entries in itrigs are previously uninferred, or are freshly-inferred for specific constant inputs.\n\nexclude_toplevel determines whether calls made from the REPL, include, or test suites are excluded.\n\nExample\n\nWe'll use SnoopCompile.itrigs_demo, which runs @snoop_inference on a workload designed to yield reproducible results:\n\njulia> tinf = SnoopCompile.itrigs_demo()\nInferenceTimingNode: 0.004490576/0.004711168 on Core.Compiler.Timings.ROOT() with 2 direct children\n\njulia> itrigs = inference_triggers(tinf)\n2-element Vector{InferenceTrigger}:\n Inference triggered to call MethodInstance for double(::UInt8) from calldouble1 (/pathto/SnoopCompile/src/inference_demos.jl:86) inlined into MethodInstance for calldouble2(::Vector{Vector{Any}}) (/pathto/SnoopCompile/src/inference_demos.jl:87)\n Inference triggered to call MethodInstance for double(::Float64) from calldouble1 (/pathto/SnoopCompile/src/inference_demos.jl:86) inlined into MethodInstance for calldouble2(::Vector{Vector{Any}}) (/pathto/SnoopCompile/src/inference_demos.jl:87)\n\njulia> edit(itrigs[1]) # opens an editor at the spot in the caller\n\njulia> using Cthulhu\n\njulia> ascend(itrigs[2]) # use Cthulhu to inspect the stacktrace (caller is the second item in the trace)\nChoose a call for analysis (q to quit):\n > double(::Float64)\n calldouble1 at /pathto/SnoopCompile/src/inference_demos.jl:86 => calldouble2(::Vector{Vector{Any}}) at /pathto/SnoopCompile/src/inference_demos.jl:87\n calleach(::Vector{Vector{Vector{Any}}}) at /pathto/SnoopCompile/src/inference_demos.jl:88\n...\n\n\n\n\n\n","category":"function"},{"location":"reference/#SnoopCompile.trigger_tree","page":"Reference","title":"SnoopCompile.trigger_tree","text":"root = trigger_tree(itrigs)\n\nOrganize inference triggers itrigs in tree format, grouping items via the call tree.\n\nIt is a tree rather than a more general graph due to the fact that caching inference results means that each node gets visited only once.\n\n\n\n\n\n","category":"function"},{"location":"reference/#SnoopCompile.suggest","page":"Reference","title":"SnoopCompile.suggest","text":"suggest(itrig::InferenceTrigger)\n\nAnalyze itrig and attempt to suggest an interpretation or remedy. This returns a structure of type Suggested; the easiest thing to do with the result is to show it; however, you can also filter a list of suggestions.\n\nExample\n\njulia> itrigs = inference_triggers(tinf);\n\njulia> sugs = suggest.(itrigs);\n\njulia> sugs_important = filter(!isignorable, sugs) # discard the ones that probably don't need to be addressed\n\nwarning: Warning\nSuggestions are approximate at best; most often, the proposed fixes should not be taken literally, but instead taken as a hint about the \"outcome\" of a particular runtime dispatch incident. The suggestions target calls made with non-inferrable argumets, but often the best place to fix the problem is at an earlier stage in the code, where the argument was first computed.You can get much deeper insight via ascend (and Cthulhu generally), and even stacktrace is often useful. Suggestions are intended to be a quick and easier-to-comprehend first pass at analyzing an inference trigger.\n\n\n\n\n\n","category":"function"},{"location":"reference/#SnoopCompile.isignorable","page":"Reference","title":"SnoopCompile.isignorable","text":"isignorable(s::Suggested)\n\nReturns true if s is unlikely to be an inference problem in need of fixing.\n\n\n\n\n\n","category":"function"},{"location":"reference/#SnoopCompile.callerinstance","page":"Reference","title":"SnoopCompile.callerinstance","text":"mi = callerinstance(itrig::InferenceTrigger)\n\nReturn the MethodInstance mi of the caller in the selected stackframe in itrig.\n\n\n\n\n\n","category":"function"},{"location":"reference/#SnoopCompile.callingframe","page":"Reference","title":"SnoopCompile.callingframe","text":"itrigcaller = callingframe(itrig::InferenceTrigger)\n\n\"Step out\" one layer of the stacktrace, referencing the caller of the current frame of itrig.\n\nYou can retrieve the proximal trigger of inference with InferenceTrigger(itrigcaller).\n\nExample\n\nWe collect data using the SnoopCompile.itrigs_demo:\n\njulia> itrig = inference_triggers(SnoopCompile.itrigs_demo())[1]\nInference triggered to call MethodInstance for double(::UInt8) from calldouble1 (/pathto/SnoopCompile/src/parcel_snoop_inference.jl:762) inlined into MethodInstance for calldouble2(::Vector{Vector{Any}}) (/pathto/SnoopCompile/src/parcel_snoop_inference.jl:763)\n\njulia> itrigcaller = callingframe(itrig)\nInference triggered to call MethodInstance for double(::UInt8) from calleach (/pathto/SnoopCompile/src/parcel_snoop_inference.jl:764) with specialization MethodInstance for calleach(::Vector{Vector{Vector{Any}}})\n\n\n\n\n\n","category":"function"},{"location":"reference/#SnoopCompile.skiphigherorder","page":"Reference","title":"SnoopCompile.skiphigherorder","text":"itrignew = skiphigherorder(itrig; exact::Bool=false)\n\nAttempt to skip over frames of higher-order functions that take the callee as a function-argument. This can be useful if you're analyzing inference triggers for an entire package and would prefer to assign triggers to package-code rather than Base functions like map!, broadcast, etc.\n\nExample\n\nWe collect data using the SnoopCompile.itrigs_higherorder_demo:\n\njulia> itrig = inference_triggers(SnoopCompile.itrigs_higherorder_demo())[1]\nInference triggered to call MethodInstance for double(::Float64) from mymap! (/pathto/SnoopCompile/src/parcel_snoop_inference.jl:706) with specialization MethodInstance for mymap!(::typeof(SnoopCompile.ItrigHigherOrderDemo.double), ::Vector{Any}, ::Vector{Any})\n\njulia> callingframe(itrig) # step out one (non-inlined) frame\nInference triggered to call MethodInstance for double(::Float64) from mymap (/pathto/SnoopCompile/src/parcel_snoop_inference.jl:710) with specialization MethodInstance for mymap(::typeof(SnoopCompile.ItrigHigherOrderDemo.double), ::Vector{Any})\n\njulia> skiphigherorder(itrig) # step out to frame that doesn't have `double` as a function-argument\nInference triggered to call MethodInstance for double(::Float64) from callmymap (/pathto/SnoopCompile/src/parcel_snoop_inference.jl:711) with specialization MethodInstance for callmymap(::Vector{Any})\n\nwarn: Warn\nBy default skiphigherorder is conservative, and insists on being sure that it's the callee being passed to the higher-order function. Higher-order functions that do not get specialized (e.g., with ::Function argument types) will not be skipped over. You can pass exact=false to allow ::Function to also be passed over, but keep in mind that this may falsely skip some frames.\n\n\n\n\n\n","category":"function"},{"location":"reference/#SnoopCompile.InferenceTrigger","page":"Reference","title":"SnoopCompile.InferenceTrigger","text":"InferenceTrigger(callee::MethodInstance, callerframes::Vector{StackFrame}, btidx::Int, bt)\n\nOrganize information about the \"triggers\" of inference. callee is the MethodInstance requiring inference, callerframes, btidx and bt contain information about the caller. callerframes are the frame(s) of call site that triggered inference; it's a Vector{StackFrame}, rather than a single StackFrame, due to the possibility that the caller was inlined into something else, in which case the first entry is the direct caller and the last entry corresponds to the MethodInstance into which it was ultimately inlined. btidx is the index in bt, the backtrace collected upon entry into inference, corresponding to callerframes.\n\nInferenceTriggers are created by calling inference_triggers. See also: callerinstance and callingframe.\n\n\n\n\n\n","category":"type"},{"location":"reference/#SnoopCompile.runtime_inferencetime","page":"Reference","title":"SnoopCompile.runtime_inferencetime","text":"ridata = runtime_inferencetime(tinf::InferenceTimingNode; consts=true, by=inclusive)\nridata = runtime_inferencetime(tinf::InferenceTimingNode, profiledata; lidict, consts=true, by=inclusive)\n\nCompare runtime and inference-time on a per-method basis. ridata[m::Method] returns (trun, tinfer, nspecializations), measuring the approximate amount of time spent running m, inferring m, and the number of type-specializations, respectively. trun is estimated from profiling data, which the user is responsible for capturing before the call. Typically tinf is collected via @snoop_inference on the first call (in a fresh session) to a workload, and the profiling data collected on a subsequent call. In some cases you may need to repeat the workload several times to collect enough profiling samples.\n\nprofiledata and lidict are obtained from Profile.retrieve().\n\n\n\n\n\n","category":"function"},{"location":"reference/#SnoopCompile.parcel","page":"Reference","title":"SnoopCompile.parcel","text":"ttot, pcs = SnoopCompile.parcel(tinf::InferenceTimingNode)\n\nParcel the \"root-most\" precompilable MethodInstances into separate modules. These can be used to generate precompile directives to cache the results of type-inference, reducing latency on first use.\n\nLoosely speaking, and MethodInstance is precompilable if the module that owns the method also has access to all the types it need to precompile the instance. When the root node of an entrance to inference is not itself precompilable, parcel examines the children (and possibly, children's children...) until it finds the first node on each branch that is precompilable. MethodInstances are then assigned to the module that owns the method.\n\nttot is the total inference time; pcs is a list of module => (tmod, pclist) pairs. For each module, tmod is the amount of inference time affiliated with methods owned by that module; pclist is a list of (t, mi) time/MethodInstance tuples.\n\nSee also: SnoopCompile.write.\n\nExample\n\nWe'll use SnoopCompile.itrigs_demo, which runs @snoop_inference on a workload designed to yield reproducible results:\n\njulia> tinf = SnoopCompile.itrigs_demo()\nInferenceTimingNode: 0.004490576/0.004711168 on Core.Compiler.Timings.ROOT() with 2 direct children\n\njulia> ttot, pcs = SnoopCompile.parcel(tinf);\n\njulia> ttot\n0.000220592\n\njulia> pcs\n1-element Vector{Pair{Module, Tuple{Float64, Vector{Tuple{Float64, Core.MethodInstance}}}}}:\n SnoopCompile.ItrigDemo => (0.000220592, [(9.8986e-5, MethodInstance for double(::Float64)), (0.000121606, MethodInstance for double(::UInt8))])\n\nSince there was only one module, ttot is the same as tmod. The ItrigDemo module had two precomilable MethodInstances, each listed with its corresponding inclusive time.\n\n\n\n\n\nmodtrigs = SnoopCompile.parcel(mtrigs::AbstractVector{MethodTriggers})\n\nSplit method-based triggers into collections organized by the module in which the methods were defined. Returns a module => list vector, with the module having the most MethodTriggers last.\n\n\n\n\n\n","category":"function"},{"location":"reference/#SnoopCompile.write","page":"Reference","title":"SnoopCompile.write","text":"write(prefix::AbstractString, pc::Dict; always::Bool = false)\n\nWrite each modules' precompiles to a separate file. If always is true, the generated function will always run the precompile statements when called, otherwise the statements will only be called during package precompilation.\n\n\n\n\n\n","category":"function"},{"location":"reference/#SnoopCompile.report_callee","page":"Reference","title":"SnoopCompile.report_callee","text":"To use report_callee do using JET\n\n\n\n\n\n","category":"function"},{"location":"reference/#SnoopCompile.report_callees","page":"Reference","title":"SnoopCompile.report_callees","text":"To use report_callees do using JET\n\n\n\n\n\n","category":"function"},{"location":"reference/#SnoopCompile.report_caller","page":"Reference","title":"SnoopCompile.report_caller","text":"To use report_caller do using JET\n\n\n\n\n\n","category":"function"},{"location":"reference/#Analysis-of-LLVM","page":"Reference","title":"Analysis of LLVM","text":"","category":"section"},{"location":"reference/","page":"Reference","title":"Reference","text":"SnoopCompile.read_snoop_llvm","category":"page"},{"location":"reference/#SnoopCompile.read_snoop_llvm","page":"Reference","title":"SnoopCompile.read_snoop_llvm","text":"times, info = SnoopCompile.read_snoop_llvm(\"func_names.csv\", \"llvm_timings.yaml\"; tmin_secs=0.0)\n\nReads the log file produced by the compiler and returns the structured representations.\n\nThe results will only contain modules that took longer than tmin_secs to optimize.\n\nReturn value\n\ntimes contains the time spent optimizing each module, as a Pair from the time to an\n\narray of Strings, one for every MethodInstance in that llvm module.\n\ninfo is a Dict containing statistics for each MethodInstance encountered, from before\n\nand after optimization, including number of instructions and number of basicblocks.\n\nExample\n\njulia> @snoop_llvm \"func_names.csv\" \"llvm_timings.yaml\" begin\n using InteractiveUtils\n @eval InteractiveUtils.peakflops()\n end\nLaunching new julia process to run commands...\ndone.\n\njulia> times, info = SnoopCompile.read_snoop_llvm(\"func_names.csv\", \"llvm_timings.yaml\", tmin_secs = 0.025);\n\njulia> times\n3-element Vector{Pair{Float64, Vector{String}}}:\n 0.028170923 => [\"Tuple{typeof(LinearAlgebra.copy_transpose!), Array{Float64, 2}, Base.UnitRange{Int64}, Base.UnitRange{Int64}, Array{Float64, 2}, Base.UnitRange{Int64}, Base.UnitRange{Int64}}\"]\n 0.031356962 => [\"Tuple{typeof(Base.copyto!), Array{Float64, 2}, Base.UnitRange{Int64}, Base.UnitRange{Int64}, Array{Float64, 2}, Base.UnitRange{Int64}, Base.UnitRange{Int64}}\"]\n 0.149138788 => [\"Tuple{typeof(LinearAlgebra._generic_matmatmul!), Array{Float64, 2}, Char, Char, Array{Float64, 2}, Array{Float64, 2}, LinearAlgebra.MulAddMul{true, true, Bool, Bool}}\"]\n\njulia> info\nDict{String, NamedTuple{(:before, :after), Tuple{NamedTuple{(:instructions, :basicblocks), Tuple{Int64, Int64}}, NamedTuple{(:instructions, :basicblocks), Tuple{Int64, Int64}}}}} with 3 entries:\n \"Tuple{typeof(LinearAlgebra.copy_transpose!), Ar… => (before = (instructions = 651, basicblocks = 83), after = (instructions = 348, basicblocks = 40…\n \"Tuple{typeof(Base.copyto!), Array{Float64, 2}, … => (before = (instructions = 617, basicblocks = 77), after = (instructions = 397, basicblocks = 37…\n \"Tuple{typeof(LinearAlgebra._generic_matmatmul!)… => (before = (instructions = 4796, basicblocks = 824), after = (instructions = 1421, basicblocks =…\n\n\n\n\n\n","category":"function"},{"location":"reference/#Demos","page":"Reference","title":"Demos","text":"","category":"section"},{"location":"reference/","page":"Reference","title":"Reference","text":"SnoopCompile.flatten_demo\nSnoopCompile.itrigs_demo\nSnoopCompile.itrigs_higherorder_demo","category":"page"},{"location":"reference/#SnoopCompile.flatten_demo","page":"Reference","title":"SnoopCompile.flatten_demo","text":"tinf = SnoopCompile.flatten_demo()\n\nA simple demonstration of @snoop_inference. This demo defines a module\n\nmodule FlattenDemo\n struct MyType{T} x::T end\n extract(y::MyType) = y.x\n function packintype(x)\n y = MyType{Int}(x)\n return dostuff(y)\n end\n function domath(x)\n y = x + x\n return y*x + 2*x + 5\n end\n dostuff(y) = domath(extract(y))\nend\n\nIt then \"warms up\" (forces inference on) all of Julia's Base methods needed for domath, to ensure that these MethodInstances do not need to be inferred when we collect the data. It then returns the results of\n\n@snoop_inference FlattenDemo.packintypes(1)\n\nSee flatten for an example usage.\n\n\n\n\n\n","category":"function"},{"location":"reference/#SnoopCompile.itrigs_demo","page":"Reference","title":"SnoopCompile.itrigs_demo","text":"tinf = SnoopCompile.itrigs_demo()\n\nA simple demonstration of collecting inference triggers. This demo defines a module\n\nmodule ItrigDemo\n@noinline double(x) = 2x\n@inline calldouble1(c) = double(c[1])\ncalldouble2(cc) = calldouble1(cc[1])\ncalleach(ccs) = (calldouble2(ccs[1]), calldouble2(ccs[2]))\nend\n\nIt then \"warms up\" (forces inference on) calldouble2(::Vector{Vector{Any}}), calldouble1(::Vector{Any}), double(::Int):\n\ncc = [Any[1]]\nItrigDemo.calleach([cc,cc])\n\nThen it collects and returns inference data using\n\ncc1, cc2 = [Any[0x01]], [Any[1.0]]\n@snoop_inference ItrigDemo.calleach([cc1, cc2])\n\nThis does not require any new inference for calldouble2 or calldouble1, but it does force inference on double with two new types. See inference_triggers to see what gets collected and returned.\n\n\n\n\n\n","category":"function"},{"location":"reference/#SnoopCompile.itrigs_higherorder_demo","page":"Reference","title":"SnoopCompile.itrigs_higherorder_demo","text":"tinf = SnoopCompile.itrigs_higherorder_demo()\n\nA simple demonstration of handling higher-order methods with inference triggers. This demo defines a module\n\nmodule ItrigHigherOrderDemo\ndouble(x) = 2x\n@noinline function mymap!(f, dst, src)\n for i in eachindex(dst, src)\n dst[i] = f(src[i])\n end\n return dst\nend\n@noinline mymap(f::F, src) where F = mymap!(f, Vector{Any}(undef, length(src)), src)\ncallmymap(src) = mymap(double, src)\nend\n\nThe key feature of this set of definitions is that the function double gets passed as an argument through mymap and mymap! (the latter are higher-order functions).\n\nIt then \"warms up\" (forces inference on) callmymap(::Vector{Any}), mymap(::typeof(double), ::Vector{Any}), mymap!(::typeof(double), ::Vector{Any}, ::Vector{Any}) and double(::Int):\n\nItrigHigherOrderDemo.callmymap(Any[1, 2])\n\nThen it collects and returns inference data using\n\n@snoop_inference ItrigHigherOrderDemo.callmymap(Any[1.0, 2.0])\n\nwhich forces inference for double(::Float64).\n\nSee skiphigherorder for an example using this demo.\n\n\n\n\n\n","category":"function"},{"location":"explanations/gotchas/#Precompilation-\"gotcha\"s","page":"Precompilation \"gotcha\"s","title":"Precompilation \"gotcha\"s","text":"","category":"section"},{"location":"explanations/gotchas/#running-during-pc","page":"Precompilation \"gotcha\"s","title":"Running code during module definition","text":"","category":"section"},{"location":"explanations/gotchas/","page":"Precompilation \"gotcha\"s","title":"Precompilation \"gotcha\"s","text":"Suppose you're working on an astronomy package and your source code has a line","category":"page"},{"location":"explanations/gotchas/","page":"Precompilation \"gotcha\"s","title":"Precompilation \"gotcha\"s","text":"const planets = map(makeplanet, [\"Mercury\", ...])","category":"page"},{"location":"explanations/gotchas/","page":"Precompilation \"gotcha\"s","title":"Precompilation \"gotcha\"s","text":"Julia will dutifully create planets and store it in the package's precompile cache file. This also runs makeplanet, and if this is the first time it gets run, it will compile makeplanet. Assuming that makeplanet is a method defined in the package, the compiled code for makeplanet will be stored in the cache file.","category":"page"},{"location":"explanations/gotchas/","page":"Precompilation \"gotcha\"s","title":"Precompilation \"gotcha\"s","text":"However, two circumstances can lead to puzzling omissions from the cache files:","category":"page"},{"location":"explanations/gotchas/","page":"Precompilation \"gotcha\"s","title":"Precompilation \"gotcha\"s","text":"if makeplanet is a method defined in a dependency of your package, it will not be cached in your package. You'd want to add precompilation of makeplanet to the package that creates that method.\nif makeplanet is poorly-infered and uses runtime dispatch, any such callees that are not owned by your package will not be cached. For example, suppose makeplanet ends up calling methods in Base Julia or its standard libraries that are not precompiled into Julia itself: the compiled code for those methods will not be added to the cache file.","category":"page"},{"location":"explanations/gotchas/","page":"Precompilation \"gotcha\"s","title":"Precompilation \"gotcha\"s","text":"One option to ensure this dependent code gets cached is to create planets inside PrecompileTools.@compile_workload:","category":"page"},{"location":"explanations/gotchas/","page":"Precompilation \"gotcha\"s","title":"Precompilation \"gotcha\"s","text":"@compile_workload begin\n global planets\n const planet = map(makeplanet, [\"Mercury\", ...])\nend","category":"page"},{"location":"explanations/gotchas/","page":"Precompilation \"gotcha\"s","title":"Precompilation \"gotcha\"s","text":"Note that your package definition can have multiple @compile_workload blocks.","category":"page"},{"location":"explanations/basic/#Understanding-SnoopCompile-and-Julia's-compilation-pipeline","page":"Understanding SnoopCompile and Julia's compilation pipeline","title":"Understanding SnoopCompile and Julia's compilation pipeline","text":"","category":"section"},{"location":"explanations/basic/","page":"Understanding SnoopCompile and Julia's compilation pipeline","title":"Understanding SnoopCompile and Julia's compilation pipeline","text":"Julia uses Just-in-time (JIT) compilation to generate the code that runs on your CPU. Broadly speaking, there are two major compilation steps: inference and code generation. Inference is the process of determining the type of each object, which in turn determines which specific methods get called; once type inference is complete, code generation performs optimizations and ultimately generates the assembly language (native code) used on CPUs. Some aspects of this process are documented here.","category":"page"},{"location":"explanations/basic/","page":"Understanding SnoopCompile and Julia's compilation pipeline","title":"Understanding SnoopCompile and Julia's compilation pipeline","text":"Using code that has never been compiled requires that it first be JIT-compiled, and this contributes to the latency of using the package. In some circumstances, you can cache (store) the results of compilation to files to reduce the latency when your package is used. These files are the the *.ji and *.so files that live in the compiled directory of your Julia depot, usually located at ~/.julia/compiled. However, if these files become large, loading them can be another source for latency. Julia needs time both to load and validate the cached compiled code. Minimizing the latency of using a package involves focusing on caching the compilation of code that is both commonly used and takes time to compile.","category":"page"},{"location":"explanations/basic/","page":"Understanding SnoopCompile and Julia's compilation pipeline","title":"Understanding SnoopCompile and Julia's compilation pipeline","text":"Caching code for later use is called precompilation. Julia has had some forms of precompilation almost since the very first packages. However, it was Julia 1.9 that first supported \"complete\" precompilation, including the ability to store native code in shared-library cache files.","category":"page"},{"location":"explanations/basic/","page":"Understanding SnoopCompile and Julia's compilation pipeline","title":"Understanding SnoopCompile and Julia's compilation pipeline","text":"SnoopCompile is designed to try to allow you to analyze the costs of JIT-compilation, identify key bottlenecks that contribute to latency, and set up precompile directives to see whether it produces measurable benefits.","category":"page"},{"location":"explanations/basic/#Package-precompilation","page":"Understanding SnoopCompile and Julia's compilation pipeline","title":"Package precompilation","text":"","category":"section"},{"location":"explanations/basic/","page":"Understanding SnoopCompile and Julia's compilation pipeline","title":"Understanding SnoopCompile and Julia's compilation pipeline","text":"When a package is precompiled, here's what happens under the hood:","category":"page"},{"location":"explanations/basic/","page":"Understanding SnoopCompile and Julia's compilation pipeline","title":"Understanding SnoopCompile and Julia's compilation pipeline","text":"Julia loads all of the package's dependencies (the ones in the [deps] section of the Project.toml file), typically from precompile cache files\nJulia evaluates the source code (text files) that define the package module(s). Evaluating function foo(args...) ... end creates a new method foo. Note that:\nthe source code might also contain statements that create \"data\" (e.g., consts). In some cases this can lead to some subtle precompilation \"gotchas\"\nthe source code might also contain a precompile workload, which forces compilation and tracking of package methods.\nJulia iterates over the module contents and writes the result to disk. Note that the module contents might include compiled code, and if so it is written along with everything else to the cache file.","category":"page"},{"location":"explanations/basic/","page":"Understanding SnoopCompile and Julia's compilation pipeline","title":"Understanding SnoopCompile and Julia's compilation pipeline","text":"When Julia loads your package, it just loads the \"snapshot\" stored in the cache file: it does not re-evaluate the source-text files that defined your package! It is appropriate to think of the source files of your package as \"build scripts\" that create your module; once the \"build scripts\" are executed, it's the module itself that gets cached, and the job of the build scripts is done.","category":"page"},{"location":"tutorials/invalidations/#Tutorial-on-@snoop_invalidations","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"","category":"section"},{"location":"tutorials/invalidations/#What-are-invalidations?","page":"Tutorial on @snoop_invalidations","title":"What are invalidations?","text":"","category":"section"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"In this context, invalidation means discarding previously-compiled code. Invalidations occur because of interactions between independent pieces of code. Invalidations are essential to make Julia fast, interactive, and correct: you need invalidations if you want to be able to define some methods, run (compile) some code, and then in the same session define new methods that might lead to different answers if you were to recompile the code in the presence of the new methods.","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"Invalidations can happen just from loading packages. Packages are precompiled in isolation, but you can load many packages into a single interactive session. It's impossible for the individual packages to anticipate the full \"world of methods\" in your interactive session, so sometimes Julia has to discard code that was compiled in a smaller world because it's at risk for being incorrect in the larger world.","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"The downside of invalidations is that they make latency worse, as code must be recompiled when you first run it. The benefits of precompilation are partially lost, and the work done during precompilation is partially wasted.","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"While some invalidations are unavoidable, in practice a good developer can often design packages to minimize the number and/or impact of invalidations. Invalidation-resistant code is often faster, with smaller binary size, than code that is vulnerable to invalidation.","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"A good first step is to measure what's being invalidated, and why.","category":"page"},{"location":"tutorials/invalidations/#Learning-to-observe,-diagnose,-and-fix-invalidations","page":"Tutorial on @snoop_invalidations","title":"Learning to observe, diagnose, and fix invalidations","text":"","category":"section"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"We'll illustrate invalidations by creating two packages, where loading the second package invalidates some code that was compiled in the first one. We'll then go over approaches for \"fixing\" invalidations (i.e., preventing them from occuring).","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"tip: Tip\nSince SnoopCompile's tools are interactive, you are strongly encouraged to try these examples yourself as you read along.","category":"page"},{"location":"tutorials/invalidations/#Add-SnoopCompileCore,-SnoopCompile,-and-helper-packages-to-your-environment","page":"Tutorial on @snoop_invalidations","title":"Add SnoopCompileCore, SnoopCompile, and helper packages to your environment","text":"","category":"section"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"Here, we'll add these packages to your default environment. (With the exception of AbstractTrees, these \"developer tool\" packages should not be added to the Project file of any real packages unless you're extending the tool itself.)","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"using Pkg\nPkg.add([\"SnoopCompileCore\", \"SnoopCompile\", \"AbstractTrees\", \"Cthulhu\"]);","category":"page"},{"location":"tutorials/invalidations/#Create-the-demonstration-packages","page":"Tutorial on @snoop_invalidations","title":"Create the demonstration packages","text":"","category":"section"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"We're going to implement a toy version of the card game blackjack, where players take cards with the aim of collecting 21 points. The higher you go the better, unless you go over 21 points, in which case you \"go bust\" (i.e., you lose). Because our real goal is to illustrate invalidations, we'll create a \"blackjack ecosystem\" that involves an interaction between two packages.","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"While PkgTemplates is recommended for creating packages, here we'll just use the basic capabilities in Pkg. To create the (empty) packages, the code below executes the following steps:","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"navigate to a temporary directory and create both packages\nmake the first package (Blackjack) depend on PrecompileTools (we're interested in reducing latency!)\nmake the second package (BlackjackFacecards) depend on the first one (Blackjack)","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"cd(mktempdir())\nusing Pkg\nPkg.generate(\"Blackjack\");\nPkg.activate(\"Blackjack\")\nPkg.add(\"PrecompileTools\");\nPkg.generate(\"BlackjackFacecards\");\nPkg.activate(\"BlackjackFacecards\")\nPkg.develop(PackageSpec(path=joinpath(pwd(), \"Blackjack\")));","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"Now it's time to create the code for Blackjack. Normally, you'd do this with an editor, but to make it reproducible here we'll use code to create these packages. The package code we'll create below defines the following:","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"a score function to assign a numeric value to a card\ntallyscore which adds the total score for a hand of cards\nplaygame which uses a simple strategy to decide whether to take another card from the deck and add it to the hand","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"To reduce latency on first use, we then precompile playgame. In a real application, we'd also want a function to manage the deck of cards, but for brevity we'll omit this and do it manually.","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"write(joinpath(\"Blackjack\", \"src\", \"Blackjack.jl\"), \"\"\"\n module Blackjack\n\n using PrecompileTools\n\n export playgame\n\n const deck = [] # the deck of cards that can be dealt\n\n # Compute the score of one card\n score(card::Int) = card\n\n # Add up the score in a hand of cards\n function tallyscores(cards)\n s = 0\n for card in cards\n s += score(card)\n end\n return s\n end\n\n # Play the game! We use a simple strategy to decide whether to draw another card.\n function playgame()\n myhand = []\n while tallyscores(myhand) <= 14 && !isempty(deck)\n push!(myhand, pop!(deck)) # \"Hit me!\"\n end\n myscore = tallyscores(myhand)\n return myscore <= 21 ? myscore : \"Busted\"\n end\n\n # Precompile `playgame`:\n @setup_workload begin\n push!(deck, 8, 10) # initialize the deck\n @compile_workload begin\n playgame()\n end\n end\n\n end\n \"\"\")","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"Suppose you use Blackjack and like it, but you notice it doesn't support face cards. Perhaps you're nervous about contributing to the Blackjack package (you shouldn't be!), and so you decide to start your own package that extends its functionality. You create BlackjackFacecards to add scoring of the jack, queen, king, and ace (for simplicity we'll make the ace always worth 11):","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"write(joinpath(\"BlackjackFacecards\", \"src\", \"BlackjackFacecards.jl\"), \"\"\"\n module BlackjackFacecards\n\n using Blackjack\n\n # Add a new `score` method:\n Blackjack.score(card::Char) = card ∈ ('J', 'Q', 'K') ? 10 :\n card == 'A' ? 11 : error(card, \" not known\")\n\n end\n \"\"\")","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"warning: Warning\nBecause BlackjackFacecards \"owns\" neither Char nor score, this is piracy and should generally be avoided. Piracy is one way to cause invalidations, but it's not the only one. BlackjackFacecards could avoid committing piracy by defining a struct Facecard ... end and defining score(card::Facecard) instead of score(card::Char). However, this would not fix the invalidations–all the factors described below are unchanged.","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"Now we're ready!","category":"page"},{"location":"tutorials/invalidations/#Recording-invalidations","page":"Tutorial on @snoop_invalidations","title":"Recording invalidations","text":"","category":"section"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"Here are the steps executed by the code below","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"load SnoopCompileCore\nload Blackjack and BlackjackFacecards while recording invalidations with the @snoop_invalidations macro.\nload SnoopCompile and AbstractTrees for analysis","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"using SnoopCompileCore\ninvs = @snoop_invalidations using Blackjack, BlackjackFacecards;\nusing SnoopCompile, AbstractTrees","category":"page"},{"location":"tutorials/invalidations/#Analyzing-invalidations","page":"Tutorial on @snoop_invalidations","title":"Analyzing invalidations","text":"","category":"section"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"Now we're ready to see what, if anything, got invalidated:","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"trees = invalidation_trees(invs)","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"This has only one \"tree\" of invalidations. trees is a Vector so we can index it:","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"tree = trees[1]","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"Each tree stems from a single cause described in the top line. For this tree, the cause was adding the new method score(::Char) in BlackjackFacecards.","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"Each cause is associated with one or more victims of invalidation, a list here named mt_backedges. Let's extract the final (and in this case, only) victim:","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"sig, victim = tree.mt_backedges[end];","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"note: Note\nmt_backedges stands for \"MethodTable backedges.\" In other cases you may see a second type of invalidation, just called backedges. With these, there is no sig, and so you'll use just victim = tree.backedges[i].","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"First let's look at the the problematic method signature:","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"sig","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"This is a type-tuple, i.e., Tuple{typeof(f), typesof(args)...}. We see that score was called on an object of (inferred) type Any. Calling a function with unknown argument types makes code vulnerable to invalidation, and insertion of the new score method \"exploited\" this vulnerability.","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"victim shows which compiled code got invalidated:","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"victim","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"But this is not the full extent of what got invalidated:","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"print_tree(victim)","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"Invalidations propagate throughout entire call trees, here up to playgame(): anything that calls code that may no longer be correct is itself at risk for being incorrect. In general, victims with lots of \"children\" deserve the greatest attention.","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"While print_tree can be useful, Cthulhu's ascend is a far more powerful tool for gaining deeper insight:","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"julia> using Cthulhu\n\njulia> ascend(victim)\nChoose a call for analysis (q to quit):\n > tallyscores(::Vector{Any})\n playgame()","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"This is an interactive REPL-menu, described more completely (via text and video) at ascend.","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"There are quite a few other tools for working with invs and trees, see the Reference. If your list of invalidations is dauntingly large, you may be interested in Combining data streams to focus on important invalidations.","category":"page"},{"location":"tutorials/invalidations/#Why-the-invalidations-occur","page":"Tutorial on @snoop_invalidations","title":"Why the invalidations occur","text":"","category":"section"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"tallyscores and playgame were compiled in Blackjack, a \"world\" where the score method defined in BlackjackFacecards does not yet exist. When you load the BlackjackFacecards package, Julia must ask itself: now that this new score method exists, am I certain that I would compile tallyscores the same way? If the answer is \"no,\" Julia invalidates the old compiled code, and compiles a fresh version with full awareness of the new score method in BlackjackFacecards.","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"Why would the compilation of tallyscores change? Evidently, cards is a Vector{Any}, and this means that tallyscores can't guess what kind of object card might be, and thus it can't guess what kind of objects are passed into score. The crux of the invalidation is thus:","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"when Blackjack is compiled, inference does not know which score method will be called. However, at the time of compilation the only score method is for Int. Thus Julia will reason that anything that isn't an Int is going to trigger an error anyway, and so you might as well optimize tallyscore expecting all cards to be Ints. (More information about how tallyscores gets optimized can be found in World-splitting.)\nhowever, when BlackjackFacecards is loaded, suddenly there are two score methods supporting both Int and Char. Now Julia's guess that all cards will probably be Ints doesn't seem so likely to be true, and thus tallyscores should be recompiled.","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"Thus, invalidations arise from optimization based on what methods and types are \"in the world\" at the time of compilation (sometimes called world-splitting). This form of optimization can have performance benefits, but it also leaves your code vulnerable to invalidation.","category":"page"},{"location":"tutorials/invalidations/#Fixing-invalidations","page":"Tutorial on @snoop_invalidations","title":"Fixing invalidations","text":"","category":"section"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"In broad strokes, there are three ways to prevent invalidation.","category":"page"},{"location":"tutorials/invalidations/#Method-1:-defer-compilation-until-the-full-world-is-known","page":"Tutorial on @snoop_invalidations","title":"Method 1: defer compilation until the full world is known","text":"","category":"section"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"The first and simplest technique is to ensure that the full range of possibilties (the entire \"world of code\") is present before any compilation occurs. In this case, probably the best approach would be to merge the BlackjackFacecards package into Blackjack itself. Or, if you are a maintainer of the \"Blackjack ecosystem\" and have reasons for thinking that keeping the packages separate makes sense, you could alternatively move the PrecompileTools workload to BlackjackFacecards. Either approach should prevent the invalidations from occuring.","category":"page"},{"location":"tutorials/invalidations/#Method-2:-improve-inferability","page":"Tutorial on @snoop_invalidations","title":"Method 2: improve inferability","text":"","category":"section"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"The second way to prevent invalidations is to improve the inferability of the victim(s). If Int and Char really are the only possible kinds of cards, then in playgame it would be better to declare","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"myhand = Union{Int,Char}[]","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"and similarly for deck itself. That untyped [] is what makes myhand (and thus cards, when passed to tallyscore) a Vector{Any}, and the possibilities for card are endless. By constraining the possible types, we allow inference to know more clearly what methods might be called. More tips on fixing invalidations through improving inference can be found in Techniques for fixing inference problems.","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"In this particular case, just annotating Union{Int,Char}[] isn't sufficient on its own, because the score method for Char doesn't yet exist, so Julia doesn't know what to call. However, in most real-world cases this change alone would be sufficient: usually all the needed methods exist, it's just a question of reassuring Julia that no other options are even possible.","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"note: Note\nThis fix leverages union-splitting, which is conceptually related to \"world-splitting.\" However, union-splitting is far more effective at fixing inference problems, as it guarantees that no other possibilities will ever exist, no matter how many other methods get defined.","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"tip: Tip\nMany vulnerabilities can be fixed by improving inference. In complex code, it's easy to unwittingly write things in ways that defeat Julia's type inference. Tools that help you discover inference problems, like SnoopCompile and JET, help you discover these unwitting \"mistakes.\"","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"While in real life it's usually a bad idea to \"blame the victim,\" it's typically the right attitude for fixing invalidations. Keep in mind, though, that the source of the problem may not be the immediate victim: in this case, it was a poor container choice in playgame that put tallyscore in the bad position of having to operate on a Vector{Any}.","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"Improving inferability is probably the most broadly-applicable technique, and when applicable it usually gives the best outcomes: not only is your code more resistant to invalidation, but it's likely faster and compiles to smaller binaries. However, of the three approaches it is also the one that requires the deepest understanding of Julia's type system, and thus may be difficult for some coders to use.","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"There are cases where there is no good way to make the code inferable, in which case other strategies are needed.","category":"page"},{"location":"tutorials/invalidations/#Method-3:-disable-Julia's-speculative-optimization","page":"Tutorial on @snoop_invalidations","title":"Method 3: disable Julia's speculative optimization","text":"","category":"section"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"The third option is to prevent Julia's speculative optimization: one could replace score(card) with invokelatest(score, card):","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"function tallyscores(cards)\n s = 0\n for card in cards\n s += invokelatest(score, card)\n end\n return s\nend","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"This forces Julia to always look up the appropriate method of score while the code is running, and thus prevents the speculative optimizations that leave the code vulnerable to invalidation. However, the cost is that your code may run somewhat more slowly, particularly here where the call is inside a loop.","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"If you plan to define at least two score methods, another way to turn off this optimization would be to declare","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"Base.Experimental.@max_methods 1 function score end","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"before defining any score methods. You can read the documentation on @max_methods to learn more about how it works.","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"tip: Tip\nMost of us learn best by doing. Try at least one of these methods of fixing the invalidation, and use SnoopCompile to verify that it works.","category":"page"},{"location":"tutorials/invalidations/#Undoing-the-damage-from-invalidations","page":"Tutorial on @snoop_invalidations","title":"Undoing the damage from invalidations","text":"","category":"section"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"If you can't prevent the invalidation, an alternative approach is to recompile the invalidated code. For example, one could repeat the precompile workload from Blackjack in BlackjackFacecards. While this will mean that the whole \"stack\" will be compiled twice and cached twice (which is wasteful), it should be effective in reducing latency for users.","category":"page"},{"location":"tutorials/invalidations/","page":"Tutorial on @snoop_invalidations","title":"Tutorial on @snoop_invalidations","text":"PrecompileTools also has a @recompile_invalidations. This isn't generally recommended for use in package (you can end up with long compile times for things you don't need), but it can be useful in personal \"Startup packages\" where you want to reduce latency for a particular project you're working on. See the PrecompileTools documentation for details.","category":"page"},{"location":"tutorials/snoop_inference_parcel/#precompilation","page":"Using @snoop_inference to emit manual precompile directives","title":"Using @snoop_inference to emit manual precompile directives","text":"","category":"section"},{"location":"tutorials/snoop_inference_parcel/","page":"Using @snoop_inference to emit manual precompile directives","title":"Using @snoop_inference to emit manual precompile directives","text":"In a few cases, it may be inconvenient or impossible to precompile using a workload. Some examples might be:","category":"page"},{"location":"tutorials/snoop_inference_parcel/","page":"Using @snoop_inference to emit manual precompile directives","title":"Using @snoop_inference to emit manual precompile directives","text":"an application that opens graphical windows\nan application that connects to a database\nan application that creates, deletes, or rewrites files on disk","category":"page"},{"location":"tutorials/snoop_inference_parcel/","page":"Using @snoop_inference to emit manual precompile directives","title":"Using @snoop_inference to emit manual precompile directives","text":"In such cases, one alternative is to create a manual list of precompile directives using Julia's precompile(f, argtypes) function.","category":"page"},{"location":"tutorials/snoop_inference_parcel/","page":"Using @snoop_inference to emit manual precompile directives","title":"Using @snoop_inference to emit manual precompile directives","text":"warning: Warning\nManual precompile directives are much more likely to \"go stale\" as the package is developed–-precompile does not throw an error if a method for the given argtypes cannot be found. They are also more likely to be dependent on the Julia version, operating system, or CPU architecture. Whenever possible, it's safer to use a workload.","category":"page"},{"location":"tutorials/snoop_inference_parcel/","page":"Using @snoop_inference to emit manual precompile directives","title":"Using @snoop_inference to emit manual precompile directives","text":"precompile directives have to be emitted by the module that owns the method and/or types. SnoopCompile comes with a tool, parcel, that splits out the \"root-most\" precompilable MethodInstances into their constituent modules. This will typically correspond to the bottom row of boxes in the flame graph. In cases where you have some non-precompilable MethodInstances, they will include MethodInstances from higher up in the call tree.","category":"page"},{"location":"tutorials/snoop_inference_parcel/","page":"Using @snoop_inference to emit manual precompile directives","title":"Using @snoop_inference to emit manual precompile directives","text":"Let's use SnoopCompile.parcel on OptimizeMeFixed:","category":"page"},{"location":"tutorials/snoop_inference_parcel/","page":"Using @snoop_inference to emit manual precompile directives","title":"Using @snoop_inference to emit manual precompile directives","text":"julia> ttot, pcs = SnoopCompile.parcel(tinf);\n\njulia> ttot\n0.6084431670000001\n\njulia> pcs\n4-element Vector{Pair{Module, Tuple{Float64, Vector{Tuple{Float64, Core.MethodInstance}}}}}:\n Core => (0.000135179, [(0.000135179, MethodInstance for (NamedTuple{(:sizehint,), T} where T<:Tuple)(::Tuple{Int64}))])\n Base => (0.028383533000000002, [(3.2456e-5, MethodInstance for getproperty(::IOBuffer, ::Symbol)), (4.7474e-5, MethodInstance for ==(::Type, ::Nothing)), (5.7944e-5, MethodInstance for typeinfo_eltype(::Type)), (0.00039092299999999994, MethodInstance for show(::IOContext{IOBuffer}, ::Any)), (0.000433143, MethodInstance for IOContext(::IOBuffer, ::IOContext{Base.TTY})), (0.000484984, MethodInstance for Pair{Symbol, DataType}(::Any, ::Any)), (0.000742383, MethodInstance for print(::IOContext{Base.TTY}, ::String, ::String, ::Vararg{String, N} where N)), (0.001293705, MethodInstance for Pair(::Symbol, ::Type)), (0.0018914350000000003, MethodInstance for show(::IOContext{IOBuffer}, ::UInt16)), (0.010604793000000001, MethodInstance for show(::IOContext{IOBuffer}, ::Tuple{String, Int64})), (0.012404293, MethodInstance for show(::IOContext{IOBuffer}, ::Vector{Int64}))])\n Base.Ryu => (0.15733664599999997, [(0.05721630600000001, MethodInstance for writeshortest(::Vector{UInt8}, ::Int64, ::Float32, ::Bool, ::Bool, ::Bool, ::Int64, ::UInt8, ::Bool, ::UInt8, ::Bool, ::Bool)), (0.10012033999999997, MethodInstance for show(::IOContext{IOBuffer}, ::Float32))])\n Main.OptimizeMeFixed => (0.4204474180000001, [(0.4204474180000001, MethodInstance for main())])","category":"page"},{"location":"tutorials/snoop_inference_parcel/","page":"Using @snoop_inference to emit manual precompile directives","title":"Using @snoop_inference to emit manual precompile directives","text":"This tells us that a total of ~0.6s were spent on inference. parcel discovered precompilable MethodInstances for four modules, Core, Base, Base.Ryu, and OptimizeMeFixed. These are listed in increasing order of inference time.","category":"page"},{"location":"tutorials/snoop_inference_parcel/","page":"Using @snoop_inference to emit manual precompile directives","title":"Using @snoop_inference to emit manual precompile directives","text":"Let's look specifically at OptimizeMeFixed, since that's under our control:","category":"page"},{"location":"tutorials/snoop_inference_parcel/","page":"Using @snoop_inference to emit manual precompile directives","title":"Using @snoop_inference to emit manual precompile directives","text":"julia> pcmod = pcs[end]\nMain.OptimizeMeFixed => (0.4204474180000001, Tuple{Float64, Core.MethodInstance}[(0.4204474180000001, MethodInstance for main())])\n\njulia> tmod, tpcs = pcmod.second;\n\njulia> tmod\n0.4204474180000001\n\njulia> tpcs\n1-element Vector{Tuple{Float64, Core.MethodInstance}}:\n (0.4204474180000001, MethodInstance for main())","category":"page"},{"location":"tutorials/snoop_inference_parcel/","page":"Using @snoop_inference to emit manual precompile directives","title":"Using @snoop_inference to emit manual precompile directives","text":"0.42s of that time is due to OptimizeMeFixed, and parcel discovered a single MethodInstances to precompile, main().","category":"page"},{"location":"tutorials/snoop_inference_parcel/","page":"Using @snoop_inference to emit manual precompile directives","title":"Using @snoop_inference to emit manual precompile directives","text":"We could look at the other modules (packages) similarly.","category":"page"},{"location":"tutorials/snoop_inference_parcel/#SnoopCompile.write","page":"Using @snoop_inference to emit manual precompile directives","title":"SnoopCompile.write","text":"","category":"section"},{"location":"tutorials/snoop_inference_parcel/","page":"Using @snoop_inference to emit manual precompile directives","title":"Using @snoop_inference to emit manual precompile directives","text":"You can generate files that contain ready-to-use precompile directives using SnoopCompile.write:","category":"page"},{"location":"tutorials/snoop_inference_parcel/","page":"Using @snoop_inference to emit manual precompile directives","title":"Using @snoop_inference to emit manual precompile directives","text":"julia> SnoopCompile.write(\"/tmp/precompiles_OptimizeMe\", pcs)\nCore: no precompile statements out of 0.000135179\nBase: precompiled 0.026194226 out of 0.028383533000000002\nBase.Ryu: precompiled 0.15733664599999997 out of 0.15733664599999997\nMain.OptimizeMeFixed: precompiled 0.4204474180000001 out of 0.4204474180000001","category":"page"},{"location":"tutorials/snoop_inference_parcel/","page":"Using @snoop_inference to emit manual precompile directives","title":"Using @snoop_inference to emit manual precompile directives","text":"You'll now find a directory /tmp/precompiles_OptimizeMe, and inside you'll find three files, for Base, Base.Ryu, and OptimizeMeFixed, respectively. The contents of the last of these should be recognizable:","category":"page"},{"location":"tutorials/snoop_inference_parcel/","page":"Using @snoop_inference to emit manual precompile directives","title":"Using @snoop_inference to emit manual precompile directives","text":"function _precompile_()\n ccall(:jl_generating_output, Cint, ()) == 1 || return nothing\n Base.precompile(Tuple{typeof(main)}) # time: 0.4204474\nend","category":"page"},{"location":"tutorials/snoop_inference_parcel/","page":"Using @snoop_inference to emit manual precompile directives","title":"Using @snoop_inference to emit manual precompile directives","text":"The first ccall line ensures we only pay the cost of running these precompile directives if we're building the package; this is relevant mostly if you're running Julia with --compiled-modules=no, which can be a convenient way to disable precompilation and examine packages in their \"native state.\" (It would also matter if you've set __precompile__(false) at the top of your module, but if so why are you reading this?)","category":"page"},{"location":"tutorials/snoop_inference_parcel/","page":"Using @snoop_inference to emit manual precompile directives","title":"Using @snoop_inference to emit manual precompile directives","text":"This file is ready to be moved into the OptimizeMe repository and included into your module definition. Since we added warmup manually, you could consider moving precompile(warmup, ()) into this function.","category":"page"},{"location":"tutorials/snoop_inference_parcel/","page":"Using @snoop_inference to emit manual precompile directives","title":"Using @snoop_inference to emit manual precompile directives","text":"You might also consider submitting some of the other files (or their precompile directives) to the packages you depend on. In some cases, the specific argument type combinations may be too \"niche\" to be worth specializing; one such case is found here, a show method for Tuple{String, Int64} for Base. But in other cases, these may be very worthy additions to the package.","category":"page"},{"location":"tutorials/snoop_inference_parcel/#Final-results","page":"Using @snoop_inference to emit manual precompile directives","title":"Final results","text":"","category":"section"},{"location":"tutorials/snoop_inference_parcel/","page":"Using @snoop_inference to emit manual precompile directives","title":"Using @snoop_inference to emit manual precompile directives","text":"Let's check out the final results of adding these precompile directives to OptimizeMeFixed. First, let's build both modules as precompiled packages:","category":"page"},{"location":"tutorials/snoop_inference_parcel/","page":"Using @snoop_inference to emit manual precompile directives","title":"Using @snoop_inference to emit manual precompile directives","text":"ulia> push!(LOAD_PATH, \".\")\n4-element Vector{String}:\n \"@\"\n \"@v#.#\"\n \"@stdlib\"\n \".\"\n\njulia> using OptimizeMe\n[ Info: Precompiling OptimizeMe [top-level]\n\njulia> using OptimizeMeFixed\n[ Info: Precompiling OptimizeMeFixed [top-level]","category":"page"},{"location":"tutorials/snoop_inference_parcel/","page":"Using @snoop_inference to emit manual precompile directives","title":"Using @snoop_inference to emit manual precompile directives","text":"Now in fresh sessions,","category":"page"},{"location":"tutorials/snoop_inference_parcel/","page":"Using @snoop_inference to emit manual precompile directives","title":"Using @snoop_inference to emit manual precompile directives","text":"julia> @time (using OptimizeMe; OptimizeMe.main())\n3.14 is great\n2.718 is jealous\n⋮\nObject x: 7\n 3.159908 seconds (10.63 M allocations: 582.091 MiB, 5.19% gc time, 99.67% compilation time)","category":"page"},{"location":"tutorials/snoop_inference_parcel/","page":"Using @snoop_inference to emit manual precompile directives","title":"Using @snoop_inference to emit manual precompile directives","text":"versus","category":"page"},{"location":"tutorials/snoop_inference_parcel/","page":"Using @snoop_inference to emit manual precompile directives","title":"Using @snoop_inference to emit manual precompile directives","text":"julia> @time (using OptimizeMeFixed; OptimizeMeFixed.main())\n3.14 is great\n2.718 is jealous\n⋮\n Object x: 7\n 1.840034 seconds (5.38 M allocations: 289.402 MiB, 5.03% gc time, 96.70% compilation time)","category":"page"},{"location":"tutorials/snoop_inference_parcel/","page":"Using @snoop_inference to emit manual precompile directives","title":"Using @snoop_inference to emit manual precompile directives","text":"We've cut down on the latency by nearly a factor of two. Moreover, if Julia someday caches generated code, we're well-prepared to capitalize on the benefits, because the same improvements in \"code ownership\" are almost certain to pay dividends there too.","category":"page"},{"location":"tutorials/snoop_inference_parcel/","page":"Using @snoop_inference to emit manual precompile directives","title":"Using @snoop_inference to emit manual precompile directives","text":"If you inspect the results, you may sometimes suffer a few disappointments: some methods that we expected to precompile don't \"take.\" At the moment there appears to be a small subset of methods that fail to precompile, and the reasons are not yet widely understood. At present, the best advice seems to be to comment-out any precompile directives that don't \"take,\" since otherwise they increase the build time for the package without material benefit. These failures may be addressed in future versions of Julia. It's also worth appreciating how much we have succeeded in reducing latency, with the awareness that we may be able to get even greater benefit in the future.","category":"page"},{"location":"tutorials/snoop_inference_parcel/#Summary","page":"Using @snoop_inference to emit manual precompile directives","title":"Summary","text":"","category":"section"},{"location":"tutorials/snoop_inference_parcel/","page":"Using @snoop_inference to emit manual precompile directives","title":"Using @snoop_inference to emit manual precompile directives","text":"@snoop_inference collects enough data to learn which methods are triggering inference, how heavily methods are being specialized, and so on. Examining your code from the standpoint of inference and specialization may be unfamiliar at first, but like other aspects of package development (testing, documentation, and release compatibility management) it can lead to significant improvements in the quality-of-life for you and your users.","category":"page"},{"location":"tutorial/#tutorial","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"","category":"section"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"Certain concepts and types will appear repeatedly, so it's worth spending a little time to familiarize yourself at the outset. You can find a more expansive version of this page in this blog post.","category":"page"},{"location":"tutorial/#Cut-to-the-Chase:-A-copy-paste-analysis-of-invalidations","page":"Tutorial on the foundations","title":"Cut to the Chase: A copy-paste analysis of invalidations","text":"","category":"section"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"The following is a quick \"grab and go\" script for analyzing invalidations. Insert package loads (using or import statements) and/or method definitions into the @snoop_invalidations block, and put the workload you want to be fast in the @snoop_inference block. The resulting plot shows the distribution of the invalidations sorted by the number of children affected. Generally, invalidations with many children matter more than those with few children, and thus this shows how many \"bad actors\" need to be investigated. show(trees[end]) show the method which leads to the most invalidations, with show(trees[end-1]) being the second most, and so forth. While the plot shows total invalidations (trees), only the ones in staletrees affect the workload in @snoop_inference.","category":"page"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"using SnoopCompileCore\ninvalidations = @snoop_invalidations using PkgA, PkgB;\ntinf = @snoop_inference begin\n some_workload()\nend\nusing SnoopCompile\ntrees = invalidation_trees(invalidations)\nstaletrees = precompile_blockers(trees, tinf)\n\n@show length(uinvalidated(invalidations)) # show total invalidations\n\nshow(trees[end]) # show the most invalidating method\n\n# Count number of children (number of invalidations per invalidated method)\nn_invalidations = map(SnoopCompile.countchildren, trees)\n\n# (optional) plot the number of children per method invalidations\nimport Plots\nPlots.plot(\n 1:length(trees),\n n_invalidations;\n markershape=:circle,\n xlabel=\"i-th method invalidation\",\n label=\"Number of children per method invalidations\"\n)\n\n# (optional) report invalidations summary\nusing PrettyTables # needed for `report_invalidations` to be defined\nSnoopCompile.report_invalidations(;\n invalidations,\n process_filename = x -> last(split(x, \".julia/packages/\")),\n n_rows = 0, # no-limit (show all invalidations)\n )","category":"page"},{"location":"tutorial/#MethodInstances,-type-inference,-and-backedges","page":"Tutorial on the foundations","title":"MethodInstances, type-inference, and backedges","text":"","category":"section"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"Our first goal is to understand how code connects together. We'll try some experiments using the following:","category":"page"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"double(x::Real) = 2x\ncalldouble(container) = double(container[1])\ncalldouble2(container) = calldouble(container)","category":"page"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"DocTestSetup = quote\n double(x::Real) = 2x\n calldouble(container) = double(container[1])\n calldouble2(container) = calldouble(container)\nend","category":"page"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"Let's create a container and run this code:","category":"page"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"julia> c64 = [1.0]\n1-element Vector{Float64}:\n 1.0\n\njulia> calldouble2(c64)\n2.0","category":"page"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"Using the MethodAnalysis package, we can get some insights into how Julia represents this code and its compilation dependencies:","category":"page"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"julia> using MethodAnalysis\n\njulia> mi = methodinstance(double, (Float64,))\nMethodInstance for double(::Float64)\n\njulia> using AbstractTrees\n\njulia> print_tree(mi)\nMethodInstance for double(::Float64)\n└─ MethodInstance for calldouble(::Vector{Float64})\n └─ MethodInstance for calldouble2(::Vector{Float64})","category":"page"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"This indicates that the result for type-inference on calldouble2(::Vector{Float64}) depended on the result for calldouble(::Vector{Float64}), which in turn depended on double(::Float64).","category":"page"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"Now let's create a new container, one with abstract element type, so that Julia's type-inference cannot accurately predict the type of elements in the container:","category":"page"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"julia> cabs = AbstractFloat[1.0f0] # put a Float32 in a Vector{AbstractFloat}\n1-element Vector{AbstractFloat}:\n 1.0f0\n\njulia> calldouble2(cabs)\n2.0f0","category":"page"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"Now let's look at the available instances:","category":"page"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"julia> mis = methodinstances(double)\n3-element Vector{Core.MethodInstance}:\n MethodInstance for double(::Float64)\n MethodInstance for double(::AbstractFloat)\n MethodInstance for double(::Float32)\n\njulia> print_tree(mis[1])\nMethodInstance for double(::Float64)\n└─ MethodInstance for calldouble(::Vector{Float64})\n └─ MethodInstance for calldouble2(::Vector{Float64})\n\njulia> print_tree(mis[2])\nMethodInstance for double(::AbstractFloat)\n\njulia> print_tree(mis[3])\nMethodInstance for double(::Float32)","category":"page"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"double(::Float64) has backedges to calldouble and calldouble2, but the second two do not because double was only called via runtime dispatch. However, calldouble has backedges to calldouble2","category":"page"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"julia> mis = methodinstances(calldouble)\n2-element Vector{Core.MethodInstance}:\n MethodInstance for calldouble(::Vector{Float64})\n MethodInstance for calldouble(::Vector{AbstractFloat})\n\njulia> print_tree(mis[1])\nMethodInstance for calldouble(::Vector{Float64})\n└─ MethodInstance for calldouble2(::Vector{Float64})\n\njulia> print_tree(mis[2])\nMethodInstance for calldouble(::Vector{AbstractFloat})\n└─ MethodInstance for calldouble2(::Vector{AbstractFloat})","category":"page"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"because Vector{AbstractFloat} is a concrete type, whereas AbstractFloat is not.","category":"page"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"If we create c32 = [1.0f0] and then calldouble2(c32), we would also see backedges from double(::Float32) all the way back to calldouble2(::Vector{Float32}).","category":"page"},{"location":"tutorial/#Precompilation","page":"Tutorial on the foundations","title":"Precompilation","text":"","category":"section"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"During package precompilation, Julia creates a *.ji file typically stored in .julia/compiled/v1.x/, where 1.x is your version of Julia. Your *.ji file might just have definitions of constants, types, and methods, but optionally you can also include the results of type-inference. This happens automatically if you run code while your package is being built, but generally the recommended procedure is to add precompile directives.","category":"page"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"Let's turn the example above into a package. In a fresh session,","category":"page"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"(@v1.6) pkg> generate SnoopCompileDemo\n Generating project SnoopCompileDemo:\n SnoopCompileDemo/Project.toml\n SnoopCompileDemo/src/SnoopCompileDemo.jl\n\njulia> open(\"SnoopCompileDemo/src/SnoopCompileDemo.jl\", \"w\") do io\n write(io, \"\"\"\n module SnoopCompileDemo\n\n double(x::Real) = 2x\n calldouble(container) = double(container[1])\n calldouble2(container) = calldouble(container)\n\n precompile(calldouble2, (Vector{Float32},))\n precompile(calldouble2, (Vector{Float64},))\n precompile(calldouble2, (Vector{AbstractFloat},))\n\n end\n \"\"\")\n end\n282\n\njulia> push!(LOAD_PATH, \"SnoopCompileDemo/\")\n4-element Vector{String}:\n \"@\"\n \"@v#.#\"\n \"@stdlib\"\n \"SnoopCompileDemo/\"\n\njulia> using SnoopCompileDemo\n[ Info: Precompiling SnoopCompileDemo [44c70eed-03a3-46c0-8383-afc033fb6a27]\n\njulia> using MethodAnalysis\n\njulia> methodinstances(SnoopCompileDemo.double)\n3-element Vector{Core.MethodInstance}:\n MethodInstance for double(::Float32)\n MethodInstance for double(::Float64)\n MethodInstance for double(::AbstractFloat)","category":"page"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"Because of those precompile statements, the MethodInstances exist after loading the package even though we haven't run the code in this session–not because it precompiled them when the package loaded, but because they were precompiled during the Precompiling SnoopCompileDemo... phase, stored to *.ji file, and then reloaded whenever we use the package. You can also verify that the same backedges get created as when we ran this code interactively above.","category":"page"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"By having these MethodInstances \"pre-loaded\" we can save some of the time needed to run type-inference: not much time in this case because the code is so simple, but for more complex methods the savings can be substantial.","category":"page"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"This code got cached in SnoopCompileDemo.ji. It's worth noting that even though the precompile directive got issued from this package, it might save MethodInstances for methods defined in other packages. For example, Julia does not come pre-built with the inferred code for Int * Float32: in a fresh session,","category":"page"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"julia> using MethodAnalysis\n\njulia> mi = methodinstance(*, (Int, Float32))\n","category":"page"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"returns nothing (the MethodInstance doesn't exist), whereas if we've loaded SnoopCompileDemo then","category":"page"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"julia> mi = methodinstance(*, (Int, Float32))\nMethodInstance for *(::Int64, ::Float32)\n\njulia> mi.def\n*(x::Number, y::Number) in Base at promotion.jl:322","category":"page"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"So even though the method is defined in Base, because SnoopCompileDemo needed this code it got stashed in SnoopCompileDemo.ji.","category":"page"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"The ability to cache MethodInstances from code defined in other packages or libraries is fundamental to latency reduction; however, it has significant limitations. Most crucially, *.ji files can only hold code they \"own,\" either:","category":"page"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"to a method defined in the package\nthrough a chain of backedges to methods owned by the package","category":"page"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"If we add","category":"page"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"precompile(*, (Int, Float16))","category":"page"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"to the definition of SnoopCompileDemo.jl, nothing happens:","category":"page"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"julia> mi = methodinstance(*, (Int, Float16))\n # nothing","category":"page"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"because there is no \"chain of ownership\" to SnoopCompileDemo. Consequently, we can't precompile methods defined in other modules in and of themselves; we can only do it if those methods are linked by backedges to this package.","category":"page"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"Because backedges are created during successful type-inference, the consequence is that precompilation works better when type inference succeeds. For some packages, time invested in improving inferrability can make your precompile directives work better.","category":"page"},{"location":"tutorial/","page":"Tutorial on the foundations","title":"Tutorial on the foundations","text":"DocTestSetup = nothing","category":"page"},{"location":"#SnoopCompile.jl","page":"SnoopCompile.jl","title":"SnoopCompile.jl","text":"","category":"section"},{"location":"","page":"SnoopCompile.jl","title":"SnoopCompile.jl","text":"Julia is fast, but its execution speed depends on optimizing code through compilation. Code must be compiled before you can use it, and unfortunately compilation is slow. This can cause latency the first time you use code: this latency is often called time-to-first-plot (TTFP) or more generally time-to-first-execution (TTFX). If something feels slow the first time you use it, and fast thereafter, you're probably experiencing the latency of compilation.","category":"page"},{"location":"","page":"SnoopCompile.jl","title":"SnoopCompile.jl","text":"Modern versions of Julia can store compiled code to disk (precompilation) to reduce or eliminate latency. Users and developers who are interested in reducing TTFX should first head to PrecompileTools, read its documentation thoroughly, and try using it to solve latency problems.","category":"page"},{"location":"","page":"SnoopCompile.jl","title":"SnoopCompile.jl","text":"This package, SnoopCompile, should be considered when:","category":"page"},{"location":"","page":"SnoopCompile.jl","title":"SnoopCompile.jl","text":"precompilation doesn't reduce latency as much as you wish\nprecompilation \"works,\" but only in isolation: as soon as you load (certain) additional packages, TTFX is bad again\nyou're wondering if you can reduce the amount of time needed to precompile your package and/or the size of the shared library files","category":"page"},{"location":"","page":"SnoopCompile.jl","title":"SnoopCompile.jl","text":"In other words, SnoopCompile is a diagonostic package that helps reveal the causes of latency. Historically, it proceeded PrecompileTools, and indeed PrecompileTools was split out from SnoopCompile. Today, SnoopCompile is generally needed only when PrecompileTools fails to deliver the desired benefits.","category":"page"},{"location":"#SnoopCompile-analysis-modes","page":"SnoopCompile.jl","title":"SnoopCompile analysis modes","text":"","category":"section"},{"location":"","page":"SnoopCompile.jl","title":"SnoopCompile.jl","text":"SnoopCompile \"snoops\" on the Julia compiler, collecting information that may be useful to developers. Here are some of the things you can do with SnoopCompile:","category":"page"},{"location":"","page":"SnoopCompile.jl","title":"SnoopCompile.jl","text":"diagnose invalidations, cases where Julia must throw away previously-compiled code (see Tutorial on @snoop_invalidations)\ntrace inference, to learn what code is being newly (or freshly) analyzed in an early stage of the compilation pipeline (Tutorial on @snoop_inference)\ntrace code generation by LLVM, a late stage in the compilation pipeline (Tutorial on @snoop_llvm)\nreveal methods with excessive numbers of compiler-generated specializations, a.k.a.profile-guided despecialization (Tutorial on PGDS)\nintegrate with tools like JET to help reduce the risk that your lovingly-precompiled code will be invalidated by loading other packages (Tutorial on JET integration)","category":"page"},{"location":"#Background-information","page":"SnoopCompile.jl","title":"Background information","text":"","category":"section"},{"location":"","page":"SnoopCompile.jl","title":"SnoopCompile.jl","text":"If nothing else, you should know this:","category":"page"},{"location":"","page":"SnoopCompile.jl","title":"SnoopCompile.jl","text":"invalidations occur when you load code (e.g., using MyPkg) or otherwise define new methods\ninference and other stages of compilation occur the first time you run code for a particular combination of input types","category":"page"},{"location":"","page":"SnoopCompile.jl","title":"SnoopCompile.jl","text":"The individual tutorials briefly explain core concepts. More detail can be found in Understanding SnoopCompile and Julia's compilation pipeline.","category":"page"},{"location":"#Who-should-use-this-package","page":"SnoopCompile.jl","title":"Who should use this package","text":"","category":"section"},{"location":"","page":"SnoopCompile.jl","title":"SnoopCompile.jl","text":"SnoopCompile is intended primarily for package developers who want to improve the experience for their users. It is also recommended for users who are willing to \"dig deep\" and understand why packages they depend on have high latency. Your experience with latency may be personal, as it can depend on the specific combination of packages you load. If latency troubles you, don't make the assumption that it must be unfixable: you might be the first person affected by that specific cause of latency.","category":"page"},{"location":"tutorials/snoop_llvm/#Tutorial-on-@snoop_llvm","page":"Tutorial on @snoop_llvm","title":"Tutorial on @snoop_llvm","text":"","category":"section"},{"location":"tutorials/snoop_llvm/","page":"Tutorial on @snoop_llvm","title":"Tutorial on @snoop_llvm","text":"Julia uses the LLVM compiler to generate machine code. Typically, the two main contributors to the overall compile time are inference and LLVM, and thus together @snoop_inference and @snoop_llvm collect fairly comprehensive data on the compiler.","category":"page"},{"location":"tutorials/snoop_llvm/","page":"Tutorial on @snoop_llvm","title":"Tutorial on @snoop_llvm","text":"@snoop_llvm has a somewhat different design than @snoop_inference: while @snoop_inference runs in the same session that you'll be using for analysis (and thus requires that you remember to do the data gathering in a fresh session), @snoop_llvm spawns a fresh process to collect the data. The downside is that you get less interactivity, as the data have to be written out in intermediate forms as a text file.","category":"page"},{"location":"tutorials/snoop_llvm/#Add-SnoopCompileCore-and-SnoopCompile-to-your-environment","page":"Tutorial on @snoop_llvm","title":"Add SnoopCompileCore and SnoopCompile to your environment","text":"","category":"section"},{"location":"tutorials/snoop_llvm/","page":"Tutorial on @snoop_llvm","title":"Tutorial on @snoop_llvm","text":"Here, we'll add these packages to your default environment.","category":"page"},{"location":"tutorials/snoop_llvm/","page":"Tutorial on @snoop_llvm","title":"Tutorial on @snoop_llvm","text":"using Pkg\nPkg.add([\"SnoopCompileCore\", \"SnoopCompile\"]);","category":"page"},{"location":"tutorials/snoop_llvm/#Collecting-the-data","page":"Tutorial on @snoop_llvm","title":"Collecting the data","text":"","category":"section"},{"location":"tutorials/snoop_llvm/","page":"Tutorial on @snoop_llvm","title":"Tutorial on @snoop_llvm","text":"Here's a simple demonstration of usage:","category":"page"},{"location":"tutorials/snoop_llvm/","page":"Tutorial on @snoop_llvm","title":"Tutorial on @snoop_llvm","text":"using SnoopCompileCore\n@snoop_llvm \"func_names.csv\" \"llvm_timings.yaml\" begin\n using InteractiveUtils\n @eval InteractiveUtils.peakflops()\nend\n\nusing SnoopCompile\ntimes, info = SnoopCompile.read_snoop_llvm(\"func_names.csv\", \"llvm_timings.yaml\", tmin_secs = 0.025);","category":"page"},{"location":"tutorials/snoop_llvm/","page":"Tutorial on @snoop_llvm","title":"Tutorial on @snoop_llvm","text":"This will write two files, \"func_names.csv\" and \"llvm_timings.yaml\", in your current working directory. Let's look at what was read from these files:","category":"page"},{"location":"tutorials/snoop_llvm/","page":"Tutorial on @snoop_llvm","title":"Tutorial on @snoop_llvm","text":"times\ninfo","category":"page"}] +} diff --git a/previews/PR389/siteinfo.js b/previews/PR389/siteinfo.js new file mode 100644 index 000000000..978db82b5 --- /dev/null +++ b/previews/PR389/siteinfo.js @@ -0,0 +1 @@ +var DOCUMENTER_CURRENT_VERSION = "previews/PR389"; diff --git a/previews/PR389/snoop_invalidations/index.html b/previews/PR389/snoop_invalidations/index.html new file mode 100644 index 000000000..5ce764ef0 --- /dev/null +++ b/previews/PR389/snoop_invalidations/index.html @@ -0,0 +1,175 @@ + +Snooping on and fixing invalidations: @snoop_invalidations · SnoopCompile
GitHub

Snooping on and fixing invalidations: @snoop_invalidations

Compat

@snoop_invalidations is available on Julia 1.6.0-DEV.154 or above, but the results can be relevant for all Julia versions.

Invalidations occur when there is a danger that new methods would supersede older methods in previously-compiled code. For safety, Julia's compiler invalidates that old code, marking it as unsuitable for use; the next time you call that method, it will have to be compiled again from scratch. (If no one ever needs that method again, there is no major loss.)

Some packages define new methods that force invalidation of previously-compiled code. If your package, or any of your dependencies, triggers many invalidations, it has several bad effects:

  • any invalidated methods you need for the functionality in your package will have to be recompiled. This will lead to a direct (and occasionally large) slowdown for your package.
  • invalidations by your dependencies (packages you rely on) can block precompilation of methods in your package, preventing you from taking advantage of some of the other features of SnoopCompile.
  • even if you don't need the invalidated code for your package, any invalidations triggered by your package might harm packages that depend on yours.

For these reasons, it's advisable to begin by analyzing invalidations. On recent Julia versions, most packages do not trigger a large number of invalidations; often, all that is needed is a quick glance at invalidations before moving on to the next step. Occasionally, checking for invalidations can save you a lot of confusion and frustration at later steps, so it is well worth taking a look.

Readers who want more background and context are encouraged to read this blog post.

Note

Invalidatons occur only for compiled code; method definitions themselves cannot be invalidated. As a consequence, it's possible to have latent invalidation risk; this risk can become exposed if you use some intermediate functionality before loading your package, or if your dependencies someday add precompile directives. So even if you've checked for invalidations previously, sometimes it's worth taking a fresh look.

Recording invalidations

To record the invalidations caused by defining new methods, use @snoop_invalidations. @snoop_invalidations is exported by SnoopCompile, but the recommended approach is to record invalidations using the minimalistic SnoopCompileCore package, and then load SnoopCompile to do the analysis. Remember to run julia with the --startup-file="no" flag set, if you load packages such as Revise in your startup file. Otherwise invalidations relating to those packages will also show up.

using SnoopCompileCore
+invalidations = @snoop_invalidations begin
+    # package loads and/or method definitions that might invalidate other code
+end
+using SnoopCompile   # now that we've collected the data, load the complete package to analyze the results
Note

SnoopCompileCore was split out from SnoopCompile to reduce the risk of invalidations from loading SnoopCompile itself. Once a MethodInstance gets invalidated, it doesn't show up in future @snoop_invalidations results, so anything that gets invalidated in order to provide @snoop_invalidations would be omitted from the results. SnoopCompileCore is a very small package with no dependencies and which avoids extending any of Julia's own functions, so it cannot invalidate any other code.

Analyzing invalidations

A first example

We'll walk through this process with the following example:

julia> f(::Real) = 1;
+
+julia> callf(container) = f(container[1]);
+
+julia> call2f(container) = callf(container);

Because code doesn't get compiled until it gets run, and invalidations only affect compiled code, let's run this with three different container types:

julia> c64  = [1.0]; c32 = [1.0f0]; cabs = AbstractFloat[1.0];  # Vector{Float64}, Vector{Float32}, and Vector{AbstractFloat}, respectively
+
+julia> call2f(c64)
+1
+
+julia> call2f(c32)
+1
+
+julia> call2f(cabs)
+1
Warning

If you're following along, be sure you actually execute these methods, or you won't obtain the results below.

Now we'll define a new f method, one specialized for Float64. So we can see the consequences for the compiled code, we'll make this definition while snooping on the compiler with @snoop_invalidations:

julia> using SnoopCompileCore
+
+julia> invalidations = @snoop_invalidations f(::Float64) = 2;

As should be apparent, running call2f on c64 should produce a different result than formerly, so Julia certainly needs to invalidate that code. Let's see what that looks like. The simplest thing we can do is list or count invalidations:

julia> using SnoopCompile
+
+julia> length(uinvalidated(invalidations))  # collect the unique MethodInstances & count them
+6

The length of this set is your simplest insight into the extent of invalidations triggered by this method definition.

If you want to fix invalidations, it's crucial to know why certain MethodInstances were invalidated. For that, it's best to use a tree structure, in which children are invalidated because their parents get invalidated:

julia> trees = invalidation_trees(invalidations)
+1-element Vector{SnoopCompile.MethodInvalidations}:
+ inserting f(::Float64) @ Main none:1 invalidated:
+   backedges: 1: superseding f(::Real) @ Main none:1 with MethodInstance for f(::Float64) (2 children)
+              2: superseding f(::Real) @ Main none:1 with MethodInstance for f(::AbstractFloat) (2 children)
+   1 mt_cache

The output, trees, is a vector of MethodInvalidations, a data type defined in SnoopCompile; each of these is the set of invalidations triggered by a particular method definition. In this case, we only defined one method, so we can get at most one MethodInvalidation. @snoop_invalidations using SomePkg might result in a list of such objects, each connected to a particular method defined in a particular package (either SomePkg itself or one of its dependencies).

In this case, "inserting f(::Float64)" indicates that we added a method with signature f(::Float64), and that this method triggered invalidations. (Invalidations can also be triggered by method deletion, although this should not happen in typical usage.) Next, notice the backedges line, and the fact that there are two items listed for it. This indicates that there were two proximal triggers for the invalidation, both of which superseded the method f(::Real). One of these had been compiled specifically for Float64, due to our call2f(c64). The other had been compiled specifically for AbstractFloat, due to our call2f(cabs).

You can look at these invalidation trees in greater detail:

julia> method_invalidations = trees[1];    # invalidations stemming from a single method
+
+julia> root = method_invalidations.backedges[1]  # get the first triggered invalidation
+MethodInstance for f(::Float64) at depth 0 with 2 children
+
+julia> show(root)
+MethodInstance for f(::Float64) (2 children)
+ MethodInstance for callf(::Vector{Float64}) (1 children)
+ ⋮
+
+julia> show(root; minchildren=0)
+MethodInstance for f(::Float64) (2 children)
+ MethodInstance for callf(::Vector{Float64}) (1 children)
+  MethodInstance for call2f(::Vector{Float64}) (0 children)

The indentation here reveals that call2f called callf which called f, and shows the entire "chain" of invalidations triggered by this method definition. Examining root2 = method_invalidations.backedges[2] yields similar results, but for Vector{AbstractFloat}.

mt_backedges invalidations

MethodInvalidations can have a second field, mt_backedges. These are invalidations triggered via the MethodTable for a particular function. When extracting mt_backedges, in addition to a root MethodInstance these also indicate a particular signature that triggered the invalidation. We can illustrate this by returning to the call2f example above:

julia> call2f(["hello"])
+ERROR: MethodError: no method matching f(::String)
+[...]
+
+julia> invalidations = @snoop_invalidations f(::AbstractString) = 2;
+
+julia> trees = invalidation_trees(invalidations)
+1-element Vector{SnoopCompile.MethodInvalidations}:
+ inserting f(::AbstractString) @ Main none:1 invalidated:
+   mt_backedges: 1: signature Tuple{typeof(f), String} triggered MethodInstance for callf(::Vector{String}) (1 children)
+
+
+julia> sig, root = trees[1].mt_backedges[end];
+
+julia> sig
+Tuple{typeof(f), String}
+
+julia> root
+MethodInstance for callf(::Vector{String}) at depth 0 with 1 children

You can see that the invalidating signature, f(::String), is more specific than the signature of the defined method, but that it is what was minimally needed by callf(::Vector{String}).

mt_backedges invalidations often reflect "unhandled" conditions in methods that have already been compiled.

A more complex example

The structure of these trees can be considerably more complicated. For example, if callf also got called by some other method, and that method had also been executed (forcing it to be compiled), then callf would have multiple children. This is often seen with more complex, real-world tests. As a medium-complexity example, try the following:

Info

Any demonstration involving real-world packages might be altered from what is shown here by new releases of the relevant packages.

julia> using Revise
+
+julia> using SnoopCompileCore
+
+julia> invalidations = @snoop_invalidations using FillArrays;
+
+julia> using SnoopCompile
+
+julia> trees = invalidation_trees(invalidations)
+3-element Vector{SnoopCompile.MethodInvalidations}:
+ inserting all(f::Function, x::FillArrays.AbstractFill) in FillArrays at /pathto/.julia/packages/FillArrays/NjFh2/src/FillArrays.jl:556 invalidated:
+   backedges: 1: superseding all(f::Function, a::AbstractArray; dims) in Base at reducedim.jl:880 with MethodInstance for all(::Base.var"#388#389"{_A} where _A, ::AbstractArray) (3 children)
+              2: superseding all(f, itr) in Base at reduce.jl:918 with MethodInstance for all(::Base.var"#388#389"{_A} where _A, ::Any) (3 children)
+
+ inserting any(f::Function, x::FillArrays.AbstractFill) in FillArrays at /pathto/.julia/packages/FillArrays/NjFh2/src/FillArrays.jl:555 invalidated:
+   backedges: 1: superseding any(f::Function, a::AbstractArray; dims) in Base at reducedim.jl:877 with MethodInstance for any(::typeof(ismissing), ::AbstractArray) (1 children)
+              2: superseding any(f, itr) in Base at reduce.jl:871 with MethodInstance for any(::typeof(ismissing), ::Any) (1 children)
+              3: superseding any(f, itr) in Base at reduce.jl:871 with MethodInstance for any(::LoweredCodeUtils.var"#11#12"{_A} where _A, ::Any) (2 children)
+              4: superseding any(f::Function, a::AbstractArray; dims) in Base at reducedim.jl:877 with MethodInstance for any(::LoweredCodeUtils.var"#11#12"{_A} where _A, ::AbstractArray) (4 children)
+
+ inserting broadcasted(::Base.Broadcast.DefaultArrayStyle{N}, op, r::FillArrays.AbstractFill{T,N,Axes} where Axes) where {T, N} in FillArrays at /pathto/.julia/packages/FillArrays/NjFh2/src/fillbroadcast.jl:8 invalidated:
+   backedges: 1: superseding broadcasted(::S, f, args...) where S<:Base.Broadcast.BroadcastStyle in Base.Broadcast at broadcast.jl:1265 with MethodInstance for broadcasted(::Base.Broadcast.BroadcastStyle, ::typeof(JuliaInterpreter._Typeof), ::Any) (1 children)
+              2: superseding broadcasted(::S, f, args...) where S<:Base.Broadcast.BroadcastStyle in Base.Broadcast at broadcast.jl:1265 with MethodInstance for broadcasted(::Base.Broadcast.BroadcastStyle, ::typeof(string), ::AbstractArray) (177 children)

Your specific results may differ from this, depending on which version of Julia and of packages you are using. In this case, you can see that three methods (one for all, one for any, and one for broadcasted) triggered invalidations. Perusing this list, you can see that methods in Base, LoweredCodeUtils, and JuliaInterpreter (the latter two were loaded by Revise) got invalidated by methods defined in FillArrays.

The most consequential ones (the ones with the most children) are listed last, and should be where you direct your attention first. That last entry looks particularly problematic, so let's extract it:

julia> methinvs = trees[end];
+
+julia> root = methinvs.backedges[end]
+MethodInstance for broadcasted(::Base.Broadcast.BroadcastStyle, ::typeof(string), ::AbstractArray) at depth 0 with 177 children
+
+julia> show(root; maxdepth=10)
+MethodInstance for broadcasted(::Base.Broadcast.BroadcastStyle, ::typeof(string), ::AbstractArray) (177 children)
+ MethodInstance for broadcasted(::typeof(string), ::AbstractArray) (176 children)
+  MethodInstance for #unpack#104(::Bool, ::typeof(Pkg.PlatformEngines.unpack), ::String, ::String) (175 children)
+   MethodInstance for (::Pkg.PlatformEngines.var"#unpack##kw")(::NamedTuple{(:verbose,),Tuple{Bool}}, ::typeof(Pkg.PlatformEngines.unpack), ::String, ::String) (174 children)
+    MethodInstance for #download_verify_unpack#109(::Nothing, ::Bool, ::Bool, ::Bool, ::Bool, ::typeof(Pkg.PlatformEngines.download_verify_unpack), ::String, ::Nothing, ::String) (165 children)
+     MethodInstance for (::Pkg.PlatformEngines.var"#download_verify_unpack##kw")(::NamedTuple{(:ignore_existence, :verbose),Tuple{Bool,Bool}}, ::typeof(Pkg.PlatformEngines.download_verify_unpack), ::String, ::Nothing, ::String) (33 children)
+      MethodInstance for (::Pkg.Artifacts.var"#39#40"{Bool,String,Nothing})(::String) (32 children)
+       MethodInstance for create_artifact(::Pkg.Artifacts.var"#39#40"{Bool,String,Nothing}) (31 children)
+        MethodInstance for #download_artifact#38(::Bool, ::Bool, ::typeof(Pkg.Artifacts.download_artifact), ::Base.SHA1, ::String, ::Nothing) (30 children)
+         MethodInstance for (::Pkg.Artifacts.var"#download_artifact##kw")(::NamedTuple{(:verbose, :quiet_download),Tuple{Bool,Bool}}, ::typeof(Pkg.Artifacts.download_artifact), ::Base.SHA1, ::String, ::Nothing) (23 children)
+          MethodInstance for (::Pkg.Artifacts.var"#download_artifact##kw")(::NamedTuple{(:verbose, :quiet_download),Tuple{Bool,Bool}}, ::typeof(Pkg.Artifacts.download_artifact), ::Base.SHA1, ::String) (22 children)
+          ⋮
+        ⋮
+     MethodInstance for (::Pkg.PlatformEngines.var"#download_verify_unpack##kw")(::NamedTuple{(:ignore_existence,),Tuple{Bool}}, ::typeof(Pkg.PlatformEngines.download_verify_unpack), ::String, ::Nothing, ::String) (130 children)
+      MethodInstance for (::Pkg.Types.var"#94#97"{Pkg.Types.Context,String,Pkg.Types.RegistrySpec})(::String) (116 children)
+       MethodInstance for #mktempdir#21(::String, ::typeof(mktempdir), ::Pkg.Types.var"#94#97"{Pkg.Types.Context,String,Pkg.Types.RegistrySpec}, ::String) (115 children)
+        MethodInstance for mktempdir(::Pkg.Types.var"#94#97"{Pkg.Types.Context,String,Pkg.Types.RegistrySpec}, ::String) (114 children)
+         MethodInstance for mktempdir(::Pkg.Types.var"#94#97"{Pkg.Types.Context,String,Pkg.Types.RegistrySpec}) (113 children)
+          MethodInstance for clone_or_cp_registries(::Pkg.Types.Context, ::Vector{Pkg.Types.RegistrySpec}, ::String) (112 children)
+          ⋮
+     ⋮
+   ⋮

Here you can see a much more complex branching structure. From this, you can see that methods in Pkg are the most significantly affected; you could expect that loading FillArrays might slow down your next Pkg operation (perhaps depending on which operation you choose) executed in this same session.

Again, if you're following along, it's possible that you'll see something quite different, if subsequent development has protected Pkg against this form of invalidation.

Filtering invalidations

Info

The experimental tool SnoopCompile.precompile_blockers may be able to help you identify just the invalidations you need to fix for your use-case.

Some method definitions trigger widespread invalidation. If you don't have time to fix all of them, you might want to focus on a specific set of invalidations. For instance, you might be the author of PkgA and you've noted that loading PkgB invalidates a lot of PkgA's code. In that case, you might want to find just those invalidations triggered in your package. You can find them with filtermod:

trees = invalidation_trees(@snoop_invalidations using PkgB)
+ftrees = filtermod(PkgA, trees)

By default, filtermod only selects trees where the root method was defined in the specified module. filtermod(PkgA, trees; recursive=true) will return all trees that lead to any method defined in PkgA.

A more selective yet exhaustive tool is findcaller, which allows you to find the path through the trees to a particular method:

m = @which f(data)                  # look for the "path" that invalidates this method
+f(data)                             # run once to force compilation
+using SnoopCompile
+trees = invalidation_trees(@snoop_invalidations using SomePkg)
+invs = findcaller(m, trees)         # select the branch that invalidated a compiled instance of `m`

When you don't know which method to choose, but know an operation that got slowed down by loading SomePkg, you can use @snoopi to find methods that needed to be recompiled. See findcaller for further details.

Fixing invalidations

In addition to the text below, there is a video illustrating many of the same package features. The video also walks through a real-world example fixing invalidations that stemmed from inference problems in some of Pkg's code.

ascend

SnoopCompile, partnering with the remarkable Cthulhu.jl, provides a tool called ascend to simplify diagnosing and fixing invalidations. To demonstrate this tool, let's use it on our test methods defined above. For best results, you'll want to copy those method definitions into a file:

f(::Real) = 1
+callf(container) = f(container[1])
+call2f(container) = callf(container)
+
+c64  = [1.0]; c32 = [1.0f0]; cabs = AbstractFloat[1.0];
+call2f(c64)
+call2f(c32)
+call2f(cabs)
+
+using SnoopCompileCore
+invalidations = @snoop_invalidations f(::Float64) = 2
+using SnoopCompile
+trees = invalidation_trees(invalidations)
+method_invalidations = trees[1]

and include it into a fresh session. (The full functionality of ascend doesn't work for methods defined at the REPL, but does if the methods are defined in a file.) In this demo, I called that file /tmp/snoop_invalidations.jl.

We start with

julia> root = method_invalidations.backedges[end]
+MethodInstance for f(::AbstractFloat) at depth 0 with 2 children

(It's common to start from the last element of backedges or mt_backedges since these have the largest number of children and are therefore most consequential.) Then:

julia> ascend(root)
+Choose a call for analysis (q to quit):
+ >   f(::AbstractFloat)
+       callf(::Vector{AbstractFloat})
+         call2f(::Vector{AbstractFloat})

This is an interactive menu: press the down arrow to go down, the up arrow to go up, and Enter to select an item for more detailed analysis. In large trees, you may also want to "fold" nodes of the tree (collapsing it so that the children are no longer displayed), particularly if you are working your way through a long series of invalidations and want to hide ones you've already dealt with. You toggle folding using the space bar, and folded nodes are printed with a + in front of them.

For example, if we press the down arrow once, we get

julia> ascend(root)
+Choose a call for analysis (q to quit):
+     f(::AbstractFloat)
+ >     callf(::Vector{AbstractFloat})
+         call2f(::Vector{AbstractFloat})

Now hit Enter to select it:

Choose caller of MethodInstance for f(::AbstractFloat) or proceed to typed code:
+ > "/tmp/snoop_invalidations.jl", callf: lines [2]
+   Browse typed code

This is showing you another menu, with only two options (a third is to go back by hitting q). The first entry shows you the option to open the "offending" source file in callf at the position of the call to the parent node of callf, which in this case is f. (Sometimes there will be more than one call to the parent within the method, in which case instead of showing [1] it might show [1, 17, 39] indicating each separate location.) Selecting this option, when available, is typically the best way to start because you can sometimes resolve the problem just by inspection of the source.

If you hit the down arrow

Choose caller of MethodInstance for f(::AbstractFloat) or proceed to typed code:
+   "/tmp/snoop_invalidations.jl", callf: lines [2]
+ > Browse typed code

and then hit Enter, this is what you see:

│ ─ %-1  = invoke callf(::Vector{AbstractFloat})::Int64
+Variables
+  #self#::Core.Const(callf, false)
+  container::Vector{AbstractFloat}
+
+Body::Int64
+    @ /tmp/snoop_invalidations.jl:2 within `callf'
+1 ─ %1 = Base.getindex(container, 1)::AbstractFloat
+│   %2 = Main.f(%1)::Int64
+└──      return %2
+
+Select a call to descend into or ↩ to ascend. [q]uit. [b]ookmark.
+Toggles: [o]ptimize, [w]arn, [d]ebuginfo, [s]yntax highlight for Source/LLVM/Native.
+Show: [S]ource code, [A]ST, [L]LVM IR, [N]ative code
+Advanced: dump [P]arams cache.
+
+ • %1  = invoke getindex(::Vector{AbstractFloat},::Int64)::AbstractFloat
+   %2  = call #f(::AbstractFloat)::Int64
+   ↩

This is output from Cthulhu, and you should see its documentation for more information. (See also this video.) While it takes a bit of time to master Cthulhu, it is an exceptionally powerful tool for diagnosing and fixing inference issues.

"Dead ends": finding runtime callers with MethodAnalysis

When a call is made by runtime dispatch and the world of available methods to handle the call does not narrow the types beyond what is known to the caller, the call-chain terminates. Here is a real-world example (one that may already be "fixed" by the time you read this) from analyzing invalidations triggered by specializing Base.unsafe_convert(::Type{Ptr{T}}, ::Base.RefValue{S}) for specific types S and T:

julia> ascend(root)
+Choose a call for analysis (q to quit):
+ >   unsafe_convert(::Type{Ptr{Nothing}}, ::Base.RefValue{_A} where _A)
+       _show_default(::IOBuffer, ::Any)
+         show_default(::IOBuffer, ::Function)
+           show_function(::IOBuffer, ::Function, ::Bool)
+             print(::IOBuffer, ::Function)
+         show_default(::IOBuffer, ::ProcessFailedException)
+           show(::IOBuffer, ::ProcessFailedException)
+             print(::IOBuffer, ::ProcessFailedException)
+         show_default(::IOBuffer, ::Sockets.IPAddr)
+           show(::IOBuffer, ::Sockets.IPAddr)

Unfortunately for our investigations, none of these "top level" callers have defined backedges. (Overall, it's very fortunate that they don't, in that runtime dispatch without backedges avoids any need to invalidate the caller; the alternative would be extremely long chains of completely unnecessary invalidation, which would have many undesirable consequences.)

If you want to fix such "short chains" of invalidation, one strategy is to identify callers by brute force search enabled by the MethodAnalysis.jl package. For example, one can discover the caller of show(::IOBuffer, ::Sockets.IPAddr) with

using MethodAnalysis       # best from a fresh Julia session
+mis = methodinstances();   # collect all *existing* MethodInstances (any future compilation will be ignored)
+# Create a predicate that finds these argument types
+using Sockets
+argmatch(typs) = length(typs) >= 2 && typs[1] === IOBuffer && typs[2] === Sockets.IPAddr
+# Find any callers
+callers = findcallers(show, argmatch, mis)

which yields a single hit in print(::IOBuffer, ::IPAddr). This too lacks any backedges, so a second application findcallers(print, argmatch, mis) links to print_to_string(::IPAddr). This MethodInstance has a backedge to string(::IPAddr), which has backedges to the method Distributed.connect_to_worker(host::AbstractString, port::Integer). A bit of digging shows that this calls Sockets.getaddrinfo to look up an IP address, and this is inferred to return an IPAddr but the concrete type is unknown. A potential fix for this situation is described below.

This does not always work; for example, trying something similar for ProcessExitedException fails, likely because the call was made with even less type information. We might be able to find it with a more general predicate, for example

argmatch(typs) = length(typs) >= 2 && typs[1] === IOBuffer && ProcessExitedException <: typs[2]

but this returns a lot of candidates and it is difficult to guess which of these might be the culprit(s). Finally, findcallers only detects method calls that are "hard-wired" into type-inferred code; if the call we're seeking was made from toplevel, or if the function itself was a runtime variable, there is no hope that findcallers will detect it.

Tips for fixing invalidations

Invalidations occur in situations like our call2f(c64) example, where we changed our mind about what value f should return for Float64. Julia could not have returned the newly-correct answer without recompiling the call chain.

Aside from cases like these, most invalidations occur whenever new types are introduced, and some methods were previously compiled for abstract types. In some cases, this is inevitable, and the resulting invalidations simply need to be accepted as a consequence of a dynamic, updatable language. (As recommended above, you can often minimize invalidations by loading all your code at the beginning of your session, before triggering the compilation of more methods.) However, in many circumstances an invalidation indicates an opportunity to improve code. In our first example, note that the call call2f(c32) did not get invalidated: this is because the compiler knew all the specific types, and new methods did not affect any of those types. The main tips for writing invalidation-resistant code are:

  • use concrete types wherever possible
  • write inferrable code
  • don't engage in type-piracy (our c64 example is essentially like type-piracy, where we redefined behavior for a pre-existing type)

Since these tips also improve performance and allow programs to behave more predictably, these guidelines are not intrusive. Indeed, searching for and eliminating invalidations can help you improve the quality of your code.

diff --git a/previews/PR389/snoopi/index.html b/previews/PR389/snoopi/index.html new file mode 100644 index 000000000..191c98f91 --- /dev/null +++ b/previews/PR389/snoopi/index.html @@ -0,0 +1,107 @@ + +Snooping on inference: @snoopi · SnoopCompile
GitHub

Snooping on inference: @snoopi

If you can't use @snoop_inference due to Julia version constraints, the most useful choice is @snoopi, which is available on Julia 1.2 or higher.

Julia can cache inference results, so you can use @snoopi to generate precompile directives for your package. Executing these directives when the package is compiled may reduce compilation (inference) time when the package is used.

Here's a quick demo:

using SnoopCompile
+
+a = rand(Float16, 5)
+
+julia> inf_timing = @snoopi sum(a)
+1-element Array{Tuple{Float64,Core.MethodInstance},1}:
+ (0.011293888092041016, MethodInstance for sum(::Array{Float16,1}))

We defined the argument a, and then called sum(a) while "snooping" on inference. (The i in @snoopi means "inference.") The return is a list of "top level" methods that got compiled, together with the amount of time spent on inference. In this case it was just a single method, which required approximately 11ms of inference time. (Inferring sum required inferring all the methods that it calls, but these are subsumed into the top level inference of sum itself.) Note that the method that got called,

julia> @which sum(a)
+sum(a::AbstractArray) in Base at reducedim.jl:652

is much more general (i.e., defined for AbstractArray) than the MethodInstance (defined for Array{Float16,1}). This is because precompilation requires the types of the arguments to specialize the code appropriately.

The information obtained from @snoopi can be used in several ways, primarily to reduce latency during usage of your package:

  • to help you understand which calls take the most inference time
  • to help you write precompile directives that run inference on specific calls during package precompilation, so that you don't pay this cost repeatedly each time you use the package
  • to help you identify inference problems that prevent successful or comprehensive precompilation

If you're starting a project to try to reduce latency in your package, broadly speaking there are two paths you can take:

  1. you can use SnoopCompile, perhaps together with CompileBot, to automatically generate lists of precompile directives that may reduce latency;
  2. you can use SnoopCompile primarily as an analysis tool, and then intervene manually to reduce latency.

Beginners often leap at option 1, but experience shows there are good reasons to consider option 2. To avoid introducing too much complexity early on, we'll defer this discussion to the end of this page, but readers who are serious about reducing latency should be sure to read Understanding precompilation and its limitations.

Note

Because invalidations can prevent effective precompilation, developers analyzing their packages with @snoopi are encouraged to use Julia versions (1.6 and higher) that have a lower risk of invalidations in Base and the standard library.

Precompile scripts

You can use @snoopi to come up with a list of precompile-worthy functions. A recommended approach is to write a script that "exercises" the functionality you'd like to precompile. One option is to use your package's "runtests.jl" file, or you can write a custom script for this purpose. Here's an example for the FixedPointNumbers package:

using FixedPointNumbers
+
+x = N0f8(0.2)
+y = x + x
+y = x - x
+y = x*x
+y = x/x
+y = Float32(x)
+y = Float64(x)
+y = 0.3*x
+y = x*0.3
+y = 2*x
+y = x*2
+y = x/15
+y = x/8.0

Save this as a file "snoopfpn.jl" and navigate at the Julia REPL to that directory, and then do

julia> using SnoopCompile
+
+julia> inf_timing = @snoopi tmin=0.01 include("snoopfpn.jl")
+2-element Array{Tuple{Float64,Core.MethodInstance},1}:
+ (0.03108978271484375, MethodInstance for *(::Normed{UInt8,8}, ::Normed{UInt8,8}))
+ (0.04189491271972656, MethodInstance for Normed{UInt8,8}(::Float64))

Here, note the tmin=0.01, which causes any methods that take less than 10ms of inference time to be discarded.

Note

If you're testing this, you might get different results depending on the speed of your machine. Moreover, if FixedPointNumbers has already precompiled these method and type combinations–-perhaps by incorporating a precompile file produced by SnoopCompile–-then those methods will be absent. For packages whose precompile directives are executed only when ccall(:jl_generating_output, Cint, ()) == 1, you can start Julia with --compiled-modules=no to disable them. Alternatively, you can dev the package and comment them out.

You can inspect these results and write your own precompile file, or use the automated tools provided by SnoopCompile.

Producing precompile directives automatically

You can take the output of @snoopi and "parcel" it into packages:

julia> pc = SnoopCompile.parcel(inf_timing)
+Dict{Symbol,Array{String,1}} with 1 entry:
+  :FixedPointNumbers => ["precompile(Tuple{typeof(*),Normed{UInt8,8},Normed{UInt8,8}})", "precompile(Tuple{Type{Normed{UInt8,8}},Float64})"]

This splits the calls up into a dictionary, pc, indexed by the package which "owns" each call. (In this case there is only one, FixedPointNumbers, but in more complex cases there may be several.) You can then write the results to files:

julia> SnoopCompile.write("/tmp/precompile", pc)

If you look in the /tmp/precompile directory, you'll see one or more files, named by their parent package, that may be suitable for includeing into the package. In this case:

/tmp/precompile$ cat precompile_FixedPointNumbers.jl
+function _precompile_()
+    ccall(:jl_generating_output, Cint, ()) == 1 || return nothing
+    precompile(Tuple{typeof(*),Normed{UInt8,8},Normed{UInt8,8}})
+    precompile(Tuple{Type{Normed{UInt8,8}},Float64})
+end

If you copy this file to a precompile.jl file in the src directory, you can incorporate it into the package like this:

module FixedPointNumbers
+
+# All the usual commands that define the module go here
+
+# ... followed by:
+
+include("precompile.jl")
+_precompile_()
+
+end # module FixedPointNumbers

The listed method/type combinations should have their inference results cached. Load the package once to precompile it, and then in a fresh Julia session try this:

julia> using SnoopCompile
+
+julia> inf_timing = @snoopi tmin=0.01 include("snoopfpn.jl")
+0-element Array{Tuple{Float64,Core.MethodInstance},1}

The fact that no methods were returned is a sign of success: Julia didn't need to call inference on those methods, because it used the inference results from the cache file.

Note

Sometimes, @snoopi will show method & type combinations that you precompiled. This is a sign that despite your attempts, Julia declined to cache the inference results for those methods. You can either delete those directives from the precompile file, or hope that they will become useful in a future version of Julia. Note that having many "useless" precompile directives can slow down precompilation.

Note

As you develop your package, it's possible you'll modify or delete some of the methods that appear in your "precompile.jl" file. This will not result in an error; by default precompile fails silently. If you want to be certain that your precompile directives don't go stale, you can check that precompile returns true and otherwise issue a warning. By default, SnoopCompile.write generates a macro, @warnpcfail, and you can use it by changing precompile(args...) to @warnpcfail precompile(args...).

If you find that some precompile directives are ineffective (they appear in a new @snoopi despite being precompiled) and their inference time is substantial, sometimes a bit of manual investigation of the callees can lead to insights. For example, you might be able to introduce a precompile in a dependent package that can mitigate the total time. (@snoop_inference makes the analysis and resolution of these issues more straightforward.)

Tip

For packages that support just Julia 1.6 and higher, you may be able to slim down the precompile file by adding has_bodyfunction=true to the arguments for parcel. This setting applies for all packges in inf_timing, so you may need to call parcel twice (with both false and true) and select the appropriate precompile file for each package.

Producing precompile directives manually

While this "automated" approach is often useful, sometimes it makes more sense to inspect the results and write your own precompile directives. For example, for FixedPointNumbers a more elegant and comprehensive precompile file might be

function _precompile_()
+    ccall(:jl_generating_output, Cint, ()) == 1 || return nothing
+    for T in (N0f8, N0f16)      # Normed types we want to support
+        for f in (+, -, *, /)   # operations we want to support
+            precompile(Tuple{typeof(f),T,T})
+            for S in (Float32, Float64, Int)   # other number types we want to support
+                precompile(Tuple{typeof(f),T,S})
+                precompile(Tuple{typeof(f),S,T})
+            end
+        end
+        for S in (Float32, Float64)
+            precompile(Tuple{Type{T},S})
+            precompile(Tuple{Type{S},T})
+        end
+    end
+end

This covers +, -, *, /, and conversion for various combinations of types. The results from @snoopi can suggest method/type combinations that might be useful to precompile, but often you can generalize its suggestions in useful ways.

Analyzing omitted methods

There are some method signatures that cannot be precompiled. For example, suppose you have two packages, A and B, that are independent of one another. Then A.f([B.Object(1)]) cannot be precompiled, because A does not know about B.Object, and B does not know about A.f, unless both A and B get included into a third package.

Such problematic method signatures are removed automatically. If you want to be informed about these removals, you can use Julia's logging framework while running parcel:

julia> using Base.CoreLogging
+
+julia> logger = SimpleLogger(IOBuffer(), CoreLogging.Debug);
+
+julia> pc = with_logger(logger) do
+           SnoopCompile.parcel(inf_timing)
+       end
+
+julia> msgs = String(take!(logger.stream))

The omitted method signatures will be logged to the string msgs.

Understanding precompilation and its limitations

Suppose your package includes the following method:

"""
+    idx = index_midsum(a)
+
+Return the index of the first item more than "halfway to the cumulative sum,"
+meaning the smallest integer so that `sum(a[begin:idx]) >= sum(a)/2`.
+"""
+function index_midsum(a::AbstractVector)
+    ca = cumsum(vcat(0, a))   # cumulative sum of items in a, starting from 0
+    s = ca[end]               # the sum of all elements
+    return findfirst(x->x >= s/2, ca) - 1  # compensate for inserting 0
+end

Now, suppose that you'd like to reduce latency in using this method, and you know that an important use case is when a is a Vector{Int}. Therefore, you might precompile it:

julia> precompile(index_midsum, (Vector{Int},))
+true

This will cause Julia to infer this method for the given argument types. If you add such statements to your package, it potentially saves your users from having to wait for it to be inferred each time they use your package.

Note

The true indicates that Julia was successfully able to find a method supporting this signature and precompile it. See the note about @warnpcfail above for ways to exploit this in your package.

But if you execute these lines in the REPL, and then check how well it worked, you might see something like the following:

julia> using SnoopCompile
+
+julia> tinf = @snoopi index_midsum([1,2,3,4,100])
+3-element Vector{Tuple{Float64, Core.MethodInstance}}:
+ (0.00048613548278808594, MethodInstance for cat_similar(::Int64, ::Type, ::Tuple{Int64}))
+ (0.010090827941894531, MethodInstance for (::Base.var"#cat_t##kw")(::NamedTuple{(:dims,), Tuple{Val{1}}}, ::typeof(Base.cat_t), ::Type{Int64}, ::Int64, ::Vararg{Any, N} where N))
+ (0.016659975051879883, MethodInstance for __cat(::Vector{Int64}, ::Tuple{Int64}, ::Tuple{Bool}, ::Int64, ::Vararg{Any, N} where N))

Even though we'd already said precompile(index_midsum, (Vector{Int},)) in this session, somehow we needed more inference of various concatenation methods. Why does this happen? A detailed investigation (e.g., using Cthulhu or @code_warntype) would reveal that vcat(0, a) is not inferrable "all the way down," and hence the precompile directive couldn't predict everything that was going to be needed.

No problem, you say: let's just precompile those methods too. The most expensive is the last one. You might not know where __cat is defined, but you can find out with

julia> mi = tinf[end][2]    # get the MethodInstance
+MethodInstance for __cat(::Vector{Int64}, ::Tuple{Int64}, ::Tuple{Bool}, ::Int64, ::Vararg{Any, N} where N)
+
+julia> mi.def               # get the Method
+__cat(A, shape::Tuple{Vararg{Int64, M}}, catdims, X...) where M in Base at abstractarray.jl:1599
+
+julia> mi.def.module        # which module was this method defined in?
+Base
Note

When using @snoopi you might sometimes see entries like MethodInstance for (::SomeModule.var"#10#12"{SomeType})(::AnotherModule.AnotherType). These typically correspond to closures/anonymous functions defined with -> or do blocks, but it may not be immediately obvious where these come from. mi.def will show you the file/line number that these are defined on. You can either convert them into named functions to make them easier to precompile, or you can fix inference problems that prevent automatic precompilation (as illustrated below).

Armed with this knowledge, let's start a fresh session (so that nothing is precompiled yet), and in addition to defining index_midsum and precompiling it, we also execute

julia> precompile(Base.__cat, (Vector{Int64}, Tuple{Int64}, Tuple{Bool}, Int, Vararg{Any, N} where N))
+true

Now if you try that tinf = @snoopi index_midsum([1,2,3,4,100]) line, you'll see that the __cat call is omitted, suggesting success.

However, if you copy both precompile directives into your package source files and then check it with @snoopi again, you may be in for a rude surprise: the __cat precompile directive doesn't "work." That turns out to be because your package doesn't "own" that __cat method–the module is Base rather than YourPackage–and because inference cannot determine that it's needed by by index_midsum(::Vector{Int}), Julia doesn't know which *.ji file to use to store its precompiled form.

How to fix this? Fundamentally, the problem is that vcat call: if we can write index_midsum in a way so that inference succeeds, then all these problems go away. (You can use ascend(mi), with Cthulhu.jl, where mi was obtained above, to discover that __cat gets called from vcat. See Cthulhu.ascend for more information.) It turns out that vcat is inferrable if all the arguments have the same type, so just changing vcat(0, a) to vcat([zero(eltype(a))], a) fixes the problem. (Alternatively, you could make a copy and then use pushfirst!.) In a fresh Julia session:

function index_midsum(a::AbstractVector)
+    ca = cumsum(vcat([zero(eltype(a))], a))   # cumulative sum of items in a, starting from 0
+    s = ca[end]               # the sum of all elements
+    return findfirst(x->x >= s/2, ca) - 1  # compensate for inserting 0
+end
+
+julia> precompile(index_midsum, (Vector{Int},))
+true
+
+julia> using SnoopCompile
+
+julia> tinf = @snoopi index_midsum([1,2,3,4,100])
+Tuple{Float64, Core.MethodInstance}[]

Tada! No additional inference was needed, ensuring that your users will not suffer any latency due to type-inference of this particular method/argument combination. In addition to identifing a call deserving of precompilation, @snoopi helped us identify a weakness in its implementation. Fixing that weakness reduced latency, made the code more resistant to invalidation, and may improve runtime performance.

In other cases, manual inspection of the results from @snoopi may lead you in a different direction: you may discover that a huge number of specializations are being created for a method that doesn't need them. Typical examples are methods that take types or functions as inputs: for example, there is no reason to recompile methods(f) for each separate f. In such cases, by far your best option is to add @nospecialize annotations to one or more of the arguments of that method. Such changes can have dramatic impact on the latency of your package.

The ability to make interventions like these–which can both reduce latency and improve runtime speed–is a major reason to consider @snoopi primarily as an analysis tool rather than just a utility to blindly generate lists of precompile directives.

diff --git a/previews/PR389/tutorial/index.html b/previews/PR389/tutorial/index.html new file mode 100644 index 000000000..9f6520d76 --- /dev/null +++ b/previews/PR389/tutorial/index.html @@ -0,0 +1,128 @@ + +Tutorial on the foundations · SnoopCompile
GitHub

Tutorial on the foundations

Certain concepts and types will appear repeatedly, so it's worth spending a little time to familiarize yourself at the outset. You can find a more expansive version of this page in this blog post.

Cut to the Chase: A copy-paste analysis of invalidations

The following is a quick "grab and go" script for analyzing invalidations. Insert package loads (using or import statements) and/or method definitions into the @snoop_invalidations block, and put the workload you want to be fast in the @snoop_inference block. The resulting plot shows the distribution of the invalidations sorted by the number of children affected. Generally, invalidations with many children matter more than those with few children, and thus this shows how many "bad actors" need to be investigated. show(trees[end]) show the method which leads to the most invalidations, with show(trees[end-1]) being the second most, and so forth. While the plot shows total invalidations (trees), only the ones in staletrees affect the workload in @snoop_inference.

using SnoopCompileCore
+invalidations = @snoop_invalidations using PkgA, PkgB;
+tinf = @snoop_inference begin
+    some_workload()
+end
+using SnoopCompile
+trees = invalidation_trees(invalidations)
+staletrees = precompile_blockers(trees, tinf)
+
+@show length(uinvalidated(invalidations))  # show total invalidations
+
+show(trees[end])  # show the most invalidating method
+
+# Count number of children (number of invalidations per invalidated method)
+n_invalidations = map(SnoopCompile.countchildren, trees)
+
+# (optional) plot the number of children per method invalidations
+import Plots
+Plots.plot(
+    1:length(trees),
+    n_invalidations;
+    markershape=:circle,
+    xlabel="i-th method invalidation",
+    label="Number of children per method invalidations"
+)
+
+# (optional) report invalidations summary
+using PrettyTables  # needed for `report_invalidations` to be defined
+SnoopCompile.report_invalidations(;
+     invalidations,
+     process_filename = x -> last(split(x, ".julia/packages/")),
+     n_rows = 0,  # no-limit (show all invalidations)
+  )

MethodInstances, type-inference, and backedges

Our first goal is to understand how code connects together. We'll try some experiments using the following:

double(x::Real) = 2x
+calldouble(container) = double(container[1])
+calldouble2(container) = calldouble(container)

Let's create a container and run this code:

julia> c64 = [1.0]
+1-element Vector{Float64}:
+ 1.0
+
+julia> calldouble2(c64)
+2.0

Using the MethodAnalysis package, we can get some insights into how Julia represents this code and its compilation dependencies:

julia> using MethodAnalysis
+
+julia> mi = methodinstance(double, (Float64,))
+MethodInstance for double(::Float64)
+
+julia> using AbstractTrees
+
+julia> print_tree(mi)
+MethodInstance for double(::Float64)
+└─ MethodInstance for calldouble(::Vector{Float64})
+   └─ MethodInstance for calldouble2(::Vector{Float64})

This indicates that the result for type-inference on calldouble2(::Vector{Float64}) depended on the result for calldouble(::Vector{Float64}), which in turn depended on double(::Float64).

Now let's create a new container, one with abstract element type, so that Julia's type-inference cannot accurately predict the type of elements in the container:

julia> cabs = AbstractFloat[1.0f0]      # put a Float32 in a Vector{AbstractFloat}
+1-element Vector{AbstractFloat}:
+ 1.0f0
+
+julia> calldouble2(cabs)
+2.0f0

Now let's look at the available instances:

julia> mis = methodinstances(double)
+3-element Vector{Core.MethodInstance}:
+ MethodInstance for double(::Float64)
+ MethodInstance for double(::AbstractFloat)
+ MethodInstance for double(::Float32)
+
+julia> print_tree(mis[1])
+MethodInstance for double(::Float64)
+└─ MethodInstance for calldouble(::Vector{Float64})
+   └─ MethodInstance for calldouble2(::Vector{Float64})
+
+julia> print_tree(mis[2])
+MethodInstance for double(::AbstractFloat)
+
+julia> print_tree(mis[3])
+MethodInstance for double(::Float32)

double(::Float64) has backedges to calldouble and calldouble2, but the second two do not because double was only called via runtime dispatch. However, calldouble has backedges to calldouble2

julia> mis = methodinstances(calldouble)
+2-element Vector{Core.MethodInstance}:
+ MethodInstance for calldouble(::Vector{Float64})
+ MethodInstance for calldouble(::Vector{AbstractFloat})
+
+julia> print_tree(mis[1])
+MethodInstance for calldouble(::Vector{Float64})
+└─ MethodInstance for calldouble2(::Vector{Float64})
+
+julia> print_tree(mis[2])
+MethodInstance for calldouble(::Vector{AbstractFloat})
+└─ MethodInstance for calldouble2(::Vector{AbstractFloat})

because Vector{AbstractFloat} is a concrete type, whereas AbstractFloat is not.

If we create c32 = [1.0f0] and then calldouble2(c32), we would also see backedges from double(::Float32) all the way back to calldouble2(::Vector{Float32}).

Precompilation

During package precompilation, Julia creates a *.ji file typically stored in .julia/compiled/v1.x/, where 1.x is your version of Julia. Your *.ji file might just have definitions of constants, types, and methods, but optionally you can also include the results of type-inference. This happens automatically if you run code while your package is being built, but generally the recommended procedure is to add precompile directives.

Let's turn the example above into a package. In a fresh session,

(@v1.6) pkg> generate SnoopCompileDemo
+  Generating  project SnoopCompileDemo:
+    SnoopCompileDemo/Project.toml
+    SnoopCompileDemo/src/SnoopCompileDemo.jl
+
+julia> open("SnoopCompileDemo/src/SnoopCompileDemo.jl", "w") do io
+           write(io, """
+           module SnoopCompileDemo
+
+           double(x::Real) = 2x
+           calldouble(container) = double(container[1])
+           calldouble2(container) = calldouble(container)
+
+           precompile(calldouble2, (Vector{Float32},))
+           precompile(calldouble2, (Vector{Float64},))
+           precompile(calldouble2, (Vector{AbstractFloat},))
+
+           end
+           """)
+       end
+282
+
+julia> push!(LOAD_PATH, "SnoopCompileDemo/")
+4-element Vector{String}:
+ "@"
+ "@v#.#"
+ "@stdlib"
+ "SnoopCompileDemo/"
+
+julia> using SnoopCompileDemo
+[ Info: Precompiling SnoopCompileDemo [44c70eed-03a3-46c0-8383-afc033fb6a27]
+
+julia> using MethodAnalysis
+
+julia> methodinstances(SnoopCompileDemo.double)
+3-element Vector{Core.MethodInstance}:
+ MethodInstance for double(::Float32)
+ MethodInstance for double(::Float64)
+ MethodInstance for double(::AbstractFloat)

Because of those precompile statements, the MethodInstances exist after loading the package even though we haven't run the code in this session–not because it precompiled them when the package loaded, but because they were precompiled during the Precompiling SnoopCompileDemo... phase, stored to *.ji file, and then reloaded whenever we use the package. You can also verify that the same backedges get created as when we ran this code interactively above.

By having these MethodInstances "pre-loaded" we can save some of the time needed to run type-inference: not much time in this case because the code is so simple, but for more complex methods the savings can be substantial.

This code got cached in SnoopCompileDemo.ji. It's worth noting that even though the precompile directive got issued from this package, it might save MethodInstances for methods defined in other packages. For example, Julia does not come pre-built with the inferred code for Int * Float32: in a fresh session,

julia> using MethodAnalysis
+
+julia> mi = methodinstance(*, (Int, Float32))
+

returns nothing (the MethodInstance doesn't exist), whereas if we've loaded SnoopCompileDemo then

julia> mi = methodinstance(*, (Int, Float32))
+MethodInstance for *(::Int64, ::Float32)
+
+julia> mi.def
+*(x::Number, y::Number) in Base at promotion.jl:322

So even though the method is defined in Base, because SnoopCompileDemo needed this code it got stashed in SnoopCompileDemo.ji.

The ability to cache MethodInstances from code defined in other packages or libraries is fundamental to latency reduction; however, it has significant limitations. Most crucially, *.ji files can only hold code they "own," either:

  • to a method defined in the package
  • through a chain of backedges to methods owned by the package

If we add

precompile(*, (Int, Float16))

to the definition of SnoopCompileDemo.jl, nothing happens:

julia> mi = methodinstance(*, (Int, Float16))
+                                                 # nothing

because there is no "chain of ownership" to SnoopCompileDemo. Consequently, we can't precompile methods defined in other modules in and of themselves; we can only do it if those methods are linked by backedges to this package.

Because backedges are created during successful type-inference, the consequence is that precompilation works better when type inference succeeds. For some packages, time invested in improving inferrability can make your precompile directives work better.

diff --git a/previews/PR389/tutorials/Blackjack/Manifest.toml b/previews/PR389/tutorials/Blackjack/Manifest.toml new file mode 100644 index 000000000..08133f6ca --- /dev/null +++ b/previews/PR389/tutorials/Blackjack/Manifest.toml @@ -0,0 +1,33 @@ +# This file is machine-generated - editing it directly is not advised + +julia_version = "1.10.4" +manifest_format = "2.0" +project_hash = "720db4e5897c289ff8ff2e581fe8e02829da8989" + +[[deps.Dates]] +deps = ["Printf"] +uuid = "ade2ca70-3891-5945-98fb-dc099432e06a" + +[[deps.PrecompileTools]] +deps = ["Preferences"] +git-tree-sha1 = "5aa36f7049a63a1528fe8f7c3f2113413ffd4e1f" +uuid = "aea7be01-6a6a-4083-8856-8a6e6704d82a" +version = "1.2.1" + +[[deps.Preferences]] +deps = ["TOML"] +git-tree-sha1 = "9306f6085165d270f7e3db02af26a400d580f5c6" +uuid = "21216c6a-2e73-6563-6e65-726566657250" +version = "1.4.3" + +[[deps.Printf]] +deps = ["Unicode"] +uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7" + +[[deps.TOML]] +deps = ["Dates"] +uuid = "fa267f1f-6049-4f14-aa54-33bafae1ed76" +version = "1.0.3" + +[[deps.Unicode]] +uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5" diff --git a/previews/PR389/tutorials/Blackjack/Project.toml b/previews/PR389/tutorials/Blackjack/Project.toml new file mode 100644 index 000000000..058059bc9 --- /dev/null +++ b/previews/PR389/tutorials/Blackjack/Project.toml @@ -0,0 +1,7 @@ +name = "Blackjack" +uuid = "98f39bb6-ab43-4ec4-b8d8-6cdcc80310c9" +authors = ["runner "] +version = "0.1.0" + +[deps] +PrecompileTools = "aea7be01-6a6a-4083-8856-8a6e6704d82a" diff --git a/previews/PR389/tutorials/Blackjack/src/Blackjack.jl b/previews/PR389/tutorials/Blackjack/src/Blackjack.jl new file mode 100644 index 000000000..2f1e87e9e --- /dev/null +++ b/previews/PR389/tutorials/Blackjack/src/Blackjack.jl @@ -0,0 +1,39 @@ +module Blackjack + +using PrecompileTools + +export playgame + +const deck = [] # the deck of cards that can be dealt + +# Compute the score of one card +score(card::Int) = card + +# Add up the score in a hand of cards +function tallyscores(cards) + s = 0 + for card in cards + s += score(card) + end + return s +end + +# Play the game! We use a simple strategy to decide whether to draw another card. +function playgame() + myhand = [] + while tallyscores(myhand) <= 14 && !isempty(deck) + push!(myhand, pop!(deck)) # "Hit me!" + end + myscore = tallyscores(myhand) + return myscore <= 21 ? myscore : "Busted" +end + +# Precompile `playgame`: +@setup_workload begin + push!(deck, 8, 10) # initialize the deck + @compile_workload begin + playgame() + end +end + +end diff --git a/previews/PR389/tutorials/BlackjackFacecards/Manifest.toml b/previews/PR389/tutorials/BlackjackFacecards/Manifest.toml new file mode 100644 index 000000000..ee00e7216 --- /dev/null +++ b/previews/PR389/tutorials/BlackjackFacecards/Manifest.toml @@ -0,0 +1,819 @@ +# This file is machine-generated - editing it directly is not advised + +julia_version = "1.10.4" +manifest_format = "2.0" +project_hash = "8631592220b13d3e5172e48db92222be472be0df" + +[[deps.ATK_jll]] +deps = ["Artifacts", "Glib_jll", "JLLWrappers", "Libdl"] +git-tree-sha1 = 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+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "b458a6f6fc2b1a8ca74ed63852e4eaf43fb9f5ea" +uuid = "059c91fe-1bad-52ad-bddd-f7b78713c282" +version = "0.17.0+3" + +[[deps.iso_codes_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "d837a5d2a19d54243dafb6cc98d0f590a603dfa1" +uuid = "bf975903-5238-5d20-8243-bc370bc1e7e5" +version = "4.15.1+0" + +[[deps.libblastrampoline_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "8e850b90-86db-534c-a0d3-1478176c7d93" +version = "5.8.0+1" + +[[deps.libpng_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Zlib_jll"] +git-tree-sha1 = "d7015d2e18a5fd9a4f47de711837e980519781a4" +uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f" +version = "1.6.43+1" + +[[deps.nghttp2_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d" +version = "1.52.0+1" + +[[deps.p7zip_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0" +version = "17.4.0+2" + +[[deps.xkbcommon_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Wayland_jll", "Wayland_protocols_jll", "Xorg_libxcb_jll", "Xorg_xkeyboard_config_jll"] +git-tree-sha1 = "9c304562909ab2bab0262639bd4f444d7bc2be37" +uuid = "d8fb68d0-12a3-5cfd-a85a-d49703b185fd" +version = "1.4.1+1" diff --git a/previews/PR389/tutorials/BlackjackFacecards/Project.toml b/previews/PR389/tutorials/BlackjackFacecards/Project.toml new file mode 100644 index 000000000..e12b3b780 --- /dev/null +++ b/previews/PR389/tutorials/BlackjackFacecards/Project.toml @@ -0,0 +1,11 @@ +name = "BlackjackFacecards" +uuid = "6101d4ce-4b2c-4340-81fb-149a331b5301" +authors = ["runner "] +version = "0.1.0" + +[deps] +AbstractTrees = "1520ce14-60c1-5f80-bbc7-55ef81b5835c" +Blackjack = "98f39bb6-ab43-4ec4-b8d8-6cdcc80310c9" +ProfileView = "c46f51b8-102a-5cf2-8d2c-8597cb0e0da7" +SnoopCompile = "aa65fe97-06da-5843-b5b1-d5d13cad87d2" +SnoopCompileCore = "e2b509da-e806-4183-be48-004708413034" diff --git a/previews/PR389/tutorials/BlackjackFacecards/src/BlackjackFacecards.jl b/previews/PR389/tutorials/BlackjackFacecards/src/BlackjackFacecards.jl new file mode 100644 index 000000000..fecbd3d78 --- /dev/null +++ b/previews/PR389/tutorials/BlackjackFacecards/src/BlackjackFacecards.jl @@ -0,0 +1,9 @@ +module BlackjackFacecards + +using Blackjack + +# Add a new `score` method: +Blackjack.score(card::Char) = card ∈ ('J', 'Q', 'K') ? 10 : + card == 'A' ? 11 : error(card, " not known") + +end diff --git a/previews/PR389/tutorials/func_names.csv b/previews/PR389/tutorials/func_names.csv new file mode 100644 index 000000000..b89108f28 --- /dev/null +++ b/previews/PR389/tutorials/func_names.csv @@ -0,0 +1,45 @@ +julia_NamedTuple_105 Tuple{Type{NamedTuple{(:eltype, :ntrials, :parallel), T} where T<:Tuple}, Tuple{DataType, Int64, Bool}} +julia_peakflops_107 Tuple{typeof(InteractiveUtils.peakflops)} +julia_#peakflops#81_109 Tuple{InteractiveUtils.var"##peakflops#81", DataType, Int64, Bool, typeof(InteractiveUtils.peakflops), Int64} +julia_Signed_111 Tuple{Type{Signed}, UInt64} +julia_getproperty_113 Tuple{typeof(Base.getproperty), Base.MappingRF{typeof(Base.identity), typeof(Base.min)}, Symbol} +julia_reduce_empty_115 Tuple{typeof(Base.reduce_empty), Base.MappingRF{typeof(Base.identity), typeof(Base.min)}, Type{Float64}} +julia_peakflops_117 Tuple{typeof(Core.kwcall), NamedTuple{(:eltype, :ntrials, :parallel), Tuple{DataType, Int64, Bool}}, typeof(LinearAlgebra.peakflops), Int64} +julia_#peakflops#253_120 Tuple{LinearAlgebra.var"##peakflops#253", DataType, Int64, Bool, typeof(LinearAlgebra.peakflops), Int64} +julia__mapreduce_123 Tuple{typeof(Base._mapreduce), typeof(Base.identity), typeof(Base.min), Base.IndexLinear, Array{Float64, 1}} +julia_mapreduce_impl_126 Tuple{typeof(Base.mapreduce_impl), typeof(Base.identity), typeof(Base.min), Array{Float64, 1}, Int64, Int64} +julia_throw_boundserror_129 Tuple{typeof(Base.throw_boundserror), Array{Float64, 1}, Tuple{Int64}} +julia_ones_131 Tuple{typeof(Base.ones), Type{Float64}, Int64, Int64} +julia_in_133 Tuple{typeof(Base.in), Tuple{Char, Char, Char}} +julia_ntuple_135 Tuple{typeof(Base.ntuple), Base.Returns{Bool}, Base.Val{2}} +julia_CartesianIndex_137 Tuple{Type{Base.IteratorsMD.CartesianIndex{N} where N}, Tuple{Int64, Int64}} +julia__chkstride1_139 Tuple{typeof(LinearAlgebra._chkstride1), Bool} +julia_max_141 Tuple{typeof(Base.max), Vararg{Int64, 4}} +julia_sqrt_143 Tuple{typeof(Base.sqrt), Float64} +julia_convert_145 Tuple{typeof(Base.convert), Type{Float64}, Float64} +julia_getproperty_147 Tuple{typeof(Base.getproperty), Base.IteratorsMD.CartesianIndex{2}, Symbol} +julia_throw_uplo_149 Tuple{typeof(LinearAlgebra.throw_uplo)} +julia_char_uplo_151 Tuple{typeof(LinearAlgebra.char_uplo), Symbol} +julia_MulAddMul_153 Tuple{Type{LinearAlgebra.MulAddMul{ais1, bis0, TA, TB} where TB where TA where bis0 where ais1}, Bool, Bool} +julia_getproperty_155 Tuple{typeof(Base.getproperty), LinearAlgebra.MulAddMul{true, true, Bool, Bool}, Symbol} +julia_promote_157 Tuple{typeof(Base.promote), Bool, Bool, Float64} +julia_indexed_iterate_159 Tuple{typeof(Base.indexed_iterate), Tuple{Float64, Float64, Float64}, Int64} +julia_indexed_iterate_161 Tuple{typeof(Base.indexed_iterate), Tuple{Float64, Float64, Float64}, Int64, Int64} +julia_*_163 Tuple{typeof(Base.:(*)), Array{Float64, 2}, Array{Float64, 2}} +julia__generic_matmatmul!_167 Tuple{typeof(LinearAlgebra._generic_matmatmul!), Array{Float64, 2}, Char, Char, Array{Float64, 2}, Array{Float64, 2}, LinearAlgebra.MulAddMul{true, true, Bool, Bool}} +julia_throwdm_177 Tuple{typeof(Base.Broadcast.throwdm), Tuple{Base.OneTo{Int64}, Base.OneTo{Int64}}, Tuple{Base.OneTo{Int64}, Base.OneTo{Int64}}} +julia_copyto!_179 Tuple{typeof(Base.copyto!), Array{Float64, 2}, Base.SubArray{Float64, 2, Array{Float64, 2}, Tuple{Base.UnitRange{Int64}, Base.UnitRange{Int64}}, false}} +julia_copyto_unaliased!_183 Tuple{typeof(Base.copyto_unaliased!), Base.IndexLinear, Array{Float64, 2}, Base.IndexCartesian, Base.SubArray{Float64, 2, Array{Float64, 2}, Tuple{Base.UnitRange{Int64}, Base.UnitRange{Int64}}, false}} +julia_throw_boundserror_186 Tuple{typeof(Base.throw_boundserror), Base.SubArray{Float64, 2, Array{Float64, 2}, Tuple{Base.UnitRange{Int64}, Base.UnitRange{Int64}}, false}, Tuple{Int64, Int64}} +julia_unalias_188 Tuple{typeof(Base.unalias), Array{Float64, 2}, Base.SubArray{Float64, 2, Array{Float64, 2}, Tuple{Base.UnitRange{Int64}, Base.UnitRange{Int64}}, false}} +julia_unaliascopy_191 Tuple{typeof(Base.unaliascopy), Base.SubArray{Float64, 2, Array{Float64, 2}, Tuple{Base.UnitRange{Int64}, Base.UnitRange{Int64}}, false}} +julia_mightalias_194 Tuple{typeof(Base.mightalias), Base.SubArray{Float64, 2, Array{Float64, 2}, Tuple{Base.UnitRange{Int64}, Base.UnitRange{Int64}}, false}, Base.SubArray{Float64, 2, Array{Float64, 2}, Tuple{Base.UnitRange{Int64}, Base.UnitRange{Int64}}, false}} +julia_throw_boundserror_196 Tuple{typeof(Base.throw_boundserror), Base.Broadcast.Broadcasted{Nothing, Tuple{Base.OneTo{Int64}, Base.OneTo{Int64}}, LinearAlgebra.MulAddMul{true, true, Bool, Bool}, Tuple{Base.Broadcast.Extruded{Base.SubArray{Float64, 2, Array{Float64, 2}, Tuple{Base.UnitRange{Int64}, Base.UnitRange{Int64}}, false}, Tuple{Bool, Bool}, Tuple{Int64, Int64}}, Base.Broadcast.Extruded{Base.SubArray{Float64, 2, Array{Float64, 2}, Tuple{Base.UnitRange{Int64}, Base.UnitRange{Int64}}, false}, Tuple{Bool, Bool}, Tuple{Int64, Int64}}}}, Tuple{Base.IteratorsMD.CartesianIndex{2}}} +julia_throw_boundserror_198 Tuple{typeof(Base.throw_boundserror), Array{Float64, 2}, Tuple{Base.UnitRange{Int64}, Base.UnitRange{Int64}}} +julia_copyto!_200 Tuple{typeof(Base.copyto!), Array{Float64, 2}, Base.UnitRange{Int64}, Base.UnitRange{Int64}, Array{Float64, 2}, Base.UnitRange{Int64}, Base.UnitRange{Int64}} +julia_copy_transpose!_203 Tuple{typeof(LinearAlgebra.copy_transpose!), Array{Float64, 2}, Base.UnitRange{Int64}, Base.UnitRange{Int64}, Array{Float64, 2}, Base.UnitRange{Int64}, Base.UnitRange{Int64}} +julia_gemm_wrapper!_206 Tuple{typeof(LinearAlgebra.gemm_wrapper!), Array{Float64, 2}, Char, Char, Array{Float64, 2}, Array{Float64, 2}, LinearAlgebra.MulAddMul{true, true, Bool, Bool}} +julia_gemm!_212 Tuple{typeof(LinearAlgebra.BLAS.gemm!), Char, Char, Float64, Array{Float64, 2}, Array{Float64, 2}, Float64, Array{Float64, 2}} +julia_matmul3x3!_214 Tuple{typeof(LinearAlgebra.matmul3x3!), Array{Float64, 2}, Char, Char, Array{Float64, 2}, Array{Float64, 2}, LinearAlgebra.MulAddMul{true, true, Bool, Bool}} +julia_matmul2x2!_216 Tuple{typeof(LinearAlgebra.matmul2x2!), Array{Float64, 2}, Char, Char, Array{Float64, 2}, Array{Float64, 2}, LinearAlgebra.MulAddMul{true, true, Bool, Bool}} +julia_getindex_218 Tuple{typeof(Base.getindex), Array{Float64, 2}, Int64, Int64} diff --git a/previews/PR389/tutorials/invalidations/index.html b/previews/PR389/tutorials/invalidations/index.html new file mode 100644 index 000000000..dcd8ca065 --- /dev/null +++ b/previews/PR389/tutorials/invalidations/index.html @@ -0,0 +1,97 @@ + +Tutorial on @snoop_invalidations · SnoopCompile
GitHub

Tutorial on @snoop_invalidations

What are invalidations?

In this context, invalidation means discarding previously-compiled code. Invalidations occur because of interactions between independent pieces of code. Invalidations are essential to make Julia fast, interactive, and correct: you need invalidations if you want to be able to define some methods, run (compile) some code, and then in the same session define new methods that might lead to different answers if you were to recompile the code in the presence of the new methods.

Invalidations can happen just from loading packages. Packages are precompiled in isolation, but you can load many packages into a single interactive session. It's impossible for the individual packages to anticipate the full "world of methods" in your interactive session, so sometimes Julia has to discard code that was compiled in a smaller world because it's at risk for being incorrect in the larger world.

The downside of invalidations is that they make latency worse, as code must be recompiled when you first run it. The benefits of precompilation are partially lost, and the work done during precompilation is partially wasted.

While some invalidations are unavoidable, in practice a good developer can often design packages to minimize the number and/or impact of invalidations. Invalidation-resistant code is often faster, with smaller binary size, than code that is vulnerable to invalidation.

A good first step is to measure what's being invalidated, and why.

Learning to observe, diagnose, and fix invalidations

We'll illustrate invalidations by creating two packages, where loading the second package invalidates some code that was compiled in the first one. We'll then go over approaches for "fixing" invalidations (i.e., preventing them from occuring).

Tip

Since SnoopCompile's tools are interactive, you are strongly encouraged to try these examples yourself as you read along.

Add SnoopCompileCore, SnoopCompile, and helper packages to your environment

Here, we'll add these packages to your default environment. (With the exception of AbstractTrees, these "developer tool" packages should not be added to the Project file of any real packages unless you're extending the tool itself.)

julia> using Pkg
julia> Pkg.add(["SnoopCompileCore", "SnoopCompile", "AbstractTrees", "Cthulhu"]);    Updating registry at `~/.julia/registries/General.toml`
+   Resolving package versions...
+ERROR: Unsatisfiable requirements detected for package SnoopCompile [aa65fe97]:
+ SnoopCompile [aa65fe97] log:
+ ├─possible versions are: 0.3.0-2.10.8 or uninstalled
+ └─restricted to versions 3 by an explicit requirement — no versions left

Create the demonstration packages

We're going to implement a toy version of the card game blackjack, where players take cards with the aim of collecting 21 points. The higher you go the better, unless you go over 21 points, in which case you "go bust" (i.e., you lose). Because our real goal is to illustrate invalidations, we'll create a "blackjack ecosystem" that involves an interaction between two packages.

While PkgTemplates is recommended for creating packages, here we'll just use the basic capabilities in Pkg. To create the (empty) packages, the code below executes the following steps:

  • navigate to a temporary directory and create both packages
  • make the first package (Blackjack) depend on PrecompileTools (we're interested in reducing latency!)
  • make the second package (BlackjackFacecards) depend on the first one (Blackjack)
julia> cd(mktempdir())
julia> using Pkg
julia> Pkg.generate("Blackjack");  Generating  project Blackjack:
+    Blackjack/Project.toml
+    Blackjack/src/Blackjack.jl
julia> Pkg.activate("Blackjack")  Activating project at `~/work/SnoopCompile.jl/SnoopCompile.jl/docs/build/tutorials/Blackjack`
julia> Pkg.add("PrecompileTools");   Resolving package versions...
+    Updating `~/work/SnoopCompile.jl/SnoopCompile.jl/docs/build/tutorials/Blackjack/Project.toml`
+  [aea7be01] + PrecompileTools v1.2.1
+    Updating `~/work/SnoopCompile.jl/SnoopCompile.jl/docs/build/tutorials/Blackjack/Manifest.toml`
+  [aea7be01] + PrecompileTools v1.2.1
+  [21216c6a] + Preferences v1.4.3
+  [ade2ca70] + Dates
+  [de0858da] + Printf
+  [fa267f1f] + TOML v1.0.3
+  [4ec0a83e] + Unicode
+Precompiling project...
+  ✓ Blackjack
+  1 dependency successfully precompiled in 2 seconds. 2 already precompiled.
julia> Pkg.generate("BlackjackFacecards");  Generating  project BlackjackFacecards:
+    BlackjackFacecards/Project.toml
+    BlackjackFacecards/src/BlackjackFacecards.jl
julia> Pkg.activate("BlackjackFacecards")  Activating project at `~/work/SnoopCompile.jl/SnoopCompile.jl/docs/build/tutorials/BlackjackFacecards`
julia> Pkg.develop(PackageSpec(path=joinpath(pwd(), "Blackjack")));   Resolving package versions...
+    Updating `~/work/SnoopCompile.jl/SnoopCompile.jl/docs/build/tutorials/BlackjackFacecards/Project.toml`
+  [98f39bb6] + Blackjack v0.1.0 `~/work/SnoopCompile.jl/SnoopCompile.jl/docs/build/tutorials/Blackjack`
+    Updating `~/work/SnoopCompile.jl/SnoopCompile.jl/docs/build/tutorials/BlackjackFacecards/Manifest.toml`
+  [98f39bb6] + Blackjack v0.1.0 `~/work/SnoopCompile.jl/SnoopCompile.jl/docs/build/tutorials/Blackjack`
+  [aea7be01] + PrecompileTools v1.2.1
+  [21216c6a] + Preferences v1.4.3
+  [ade2ca70] + Dates
+  [de0858da] + Printf
+  [fa267f1f] + TOML v1.0.3
+  [4ec0a83e] + Unicode

Now it's time to create the code for Blackjack. Normally, you'd do this with an editor, but to make it reproducible here we'll use code to create these packages. The package code we'll create below defines the following:

  • a score function to assign a numeric value to a card
  • tallyscore which adds the total score for a hand of cards
  • playgame which uses a simple strategy to decide whether to take another card from the deck and add it to the hand

To reduce latency on first use, we then precompile playgame. In a real application, we'd also want a function to manage the deck of cards, but for brevity we'll omit this and do it manually.

julia> write(joinpath("Blackjack", "src", "Blackjack.jl"), """
+           module Blackjack
+       
+           using PrecompileTools
+       
+           export playgame
+       
+           const deck = []   # the deck of cards that can be dealt
+       
+           # Compute the score of one card
+           score(card::Int) = card
+       
+           # Add up the score in a hand of cards
+           function tallyscores(cards)
+               s = 0
+               for card in cards
+                   s += score(card)
+               end
+               return s
+           end
+       
+           # Play the game! We use a simple strategy to decide whether to draw another card.
+           function playgame()
+               myhand = []
+               while tallyscores(myhand) <= 14 && !isempty(deck)
+                   push!(myhand, pop!(deck))   # "Hit me!"
+               end
+               myscore = tallyscores(myhand)
+               return myscore <= 21 ? myscore : "Busted"
+           end
+       
+           # Precompile `playgame`:
+           @setup_workload begin
+               push!(deck, 8, 10)    # initialize the deck
+               @compile_workload begin
+                   playgame()
+               end
+           end
+       
+           end
+           """)793

Suppose you use Blackjack and like it, but you notice it doesn't support face cards. Perhaps you're nervous about contributing to the Blackjack package (you shouldn't be!), and so you decide to start your own package that extends its functionality. You create BlackjackFacecards to add scoring of the jack, queen, king, and ace (for simplicity we'll make the ace always worth 11):

julia> write(joinpath("BlackjackFacecards", "src", "BlackjackFacecards.jl"), """
+           module BlackjackFacecards
+       
+           using Blackjack
+       
+           # Add a new `score` method:
+           Blackjack.score(card::Char) = card ∈ ('J', 'Q', 'K') ? 10 :
+                                         card == 'A' ? 11 : error(card, " not known")
+       
+           end
+           """)214
Warning

Because BlackjackFacecards "owns" neither Char nor score, this is piracy and should generally be avoided. Piracy is one way to cause invalidations, but it's not the only one. BlackjackFacecards could avoid committing piracy by defining a struct Facecard ... end and defining score(card::Facecard) instead of score(card::Char). However, this would not fix the invalidations–all the factors described below are unchanged.

Now we're ready!

Recording invalidations

Here are the steps executed by the code below

  • load SnoopCompileCore
  • load Blackjack and BlackjackFacecards while recording invalidations with the @snoop_invalidations macro.
  • load SnoopCompile and AbstractTrees for analysis
julia> using SnoopCompileCoreERROR: ArgumentError: Package SnoopCompileCore not found in current path, maybe you meant `import/using ..SnoopCompileCore`.
+- Otherwise, run `import Pkg; Pkg.add("SnoopCompileCore")` to install the SnoopCompileCore package.
julia> invs = @snoop_invalidations using Blackjack, BlackjackFacecards;ERROR: LoadError: UndefVarError: `@snoop_invalidations` not defined
+in expression starting at REPL[2]:2
julia> using SnoopCompile, AbstractTreesERROR: ArgumentError: Package SnoopCompile not found in current path, maybe you meant `import/using ..SnoopCompile`.
+- Otherwise, run `import Pkg; Pkg.add("SnoopCompile")` to install the SnoopCompile package.

Analyzing invalidations

Now we're ready to see what, if anything, got invalidated:

julia> trees = invalidation_trees(invs)ERROR: UndefVarError: `invalidation_trees` not defined

This has only one "tree" of invalidations. trees is a Vector so we can index it:

julia> tree = trees[1]ERROR: UndefVarError: `trees` not defined

Each tree stems from a single cause described in the top line. For this tree, the cause was adding the new method score(::Char) in BlackjackFacecards.

Each cause is associated with one or more victims of invalidation, a list here named mt_backedges. Let's extract the final (and in this case, only) victim:

julia> sig, victim = tree.mt_backedges[end];ERROR: UndefVarError: `tree` not defined
Note

mt_backedges stands for "MethodTable backedges." In other cases you may see a second type of invalidation, just called backedges. With these, there is no sig, and so you'll use just victim = tree.backedges[i].

First let's look at the the problematic method signature:

julia> sigERROR: UndefVarError: `sig` not defined

This is a type-tuple, i.e., Tuple{typeof(f), typesof(args)...}. We see that score was called on an object of (inferred) type Any. Calling a function with unknown argument types makes code vulnerable to invalidation, and insertion of the new score method "exploited" this vulnerability.

victim shows which compiled code got invalidated:

julia> victimERROR: UndefVarError: `victim` not defined

But this is not the full extent of what got invalidated:

julia> print_tree(victim)ERROR: UndefVarError: `print_tree` not defined

Invalidations propagate throughout entire call trees, here up to playgame(): anything that calls code that may no longer be correct is itself at risk for being incorrect. In general, victims with lots of "children" deserve the greatest attention.

While print_tree can be useful, Cthulhu's ascend is a far more powerful tool for gaining deeper insight:

julia> using Cthulhu
+
+julia> ascend(victim)
+Choose a call for analysis (q to quit):
+ >   tallyscores(::Vector{Any})
+       playgame()

This is an interactive REPL-menu, described more completely (via text and video) at ascend.

There are quite a few other tools for working with invs and trees, see the Reference. If your list of invalidations is dauntingly large, you may be interested in Combining data streams to focus on important invalidations.

Why the invalidations occur

tallyscores and playgame were compiled in Blackjack, a "world" where the score method defined in BlackjackFacecards does not yet exist. When you load the BlackjackFacecards package, Julia must ask itself: now that this new score method exists, am I certain that I would compile tallyscores the same way? If the answer is "no," Julia invalidates the old compiled code, and compiles a fresh version with full awareness of the new score method in BlackjackFacecards.

Why would the compilation of tallyscores change? Evidently, cards is a Vector{Any}, and this means that tallyscores can't guess what kind of object card might be, and thus it can't guess what kind of objects are passed into score. The crux of the invalidation is thus:

  • when Blackjack is compiled, inference does not know which score method will be called. However, at the time of compilation the only score method is for Int. Thus Julia will reason that anything that isn't an Int is going to trigger an error anyway, and so you might as well optimize tallyscore expecting all cards to be Ints. (More information about how tallyscores gets optimized can be found in World-splitting.)
  • however, when BlackjackFacecards is loaded, suddenly there are two score methods supporting both Int and Char. Now Julia's guess that all cards will probably be Ints doesn't seem so likely to be true, and thus tallyscores should be recompiled.

Thus, invalidations arise from optimization based on what methods and types are "in the world" at the time of compilation (sometimes called world-splitting). This form of optimization can have performance benefits, but it also leaves your code vulnerable to invalidation.

Fixing invalidations

In broad strokes, there are three ways to prevent invalidation.

Method 1: defer compilation until the full world is known

The first and simplest technique is to ensure that the full range of possibilties (the entire "world of code") is present before any compilation occurs. In this case, probably the best approach would be to merge the BlackjackFacecards package into Blackjack itself. Or, if you are a maintainer of the "Blackjack ecosystem" and have reasons for thinking that keeping the packages separate makes sense, you could alternatively move the PrecompileTools workload to BlackjackFacecards. Either approach should prevent the invalidations from occuring.

Method 2: improve inferability

The second way to prevent invalidations is to improve the inferability of the victim(s). If Int and Char really are the only possible kinds of cards, then in playgame it would be better to declare

myhand = Union{Int,Char}[]

and similarly for deck itself. That untyped [] is what makes myhand (and thus cards, when passed to tallyscore) a Vector{Any}, and the possibilities for card are endless. By constraining the possible types, we allow inference to know more clearly what methods might be called. More tips on fixing invalidations through improving inference can be found in Techniques for fixing inference problems.

In this particular case, just annotating Union{Int,Char}[] isn't sufficient on its own, because the score method for Char doesn't yet exist, so Julia doesn't know what to call. However, in most real-world cases this change alone would be sufficient: usually all the needed methods exist, it's just a question of reassuring Julia that no other options are even possible.

Note

This fix leverages union-splitting, which is conceptually related to "world-splitting." However, union-splitting is far more effective at fixing inference problems, as it guarantees that no other possibilities will ever exist, no matter how many other methods get defined.

Tip

Many vulnerabilities can be fixed by improving inference. In complex code, it's easy to unwittingly write things in ways that defeat Julia's type inference. Tools that help you discover inference problems, like SnoopCompile and JET, help you discover these unwitting "mistakes."

While in real life it's usually a bad idea to "blame the victim," it's typically the right attitude for fixing invalidations. Keep in mind, though, that the source of the problem may not be the immediate victim: in this case, it was a poor container choice in playgame that put tallyscore in the bad position of having to operate on a Vector{Any}.

Improving inferability is probably the most broadly-applicable technique, and when applicable it usually gives the best outcomes: not only is your code more resistant to invalidation, but it's likely faster and compiles to smaller binaries. However, of the three approaches it is also the one that requires the deepest understanding of Julia's type system, and thus may be difficult for some coders to use.

There are cases where there is no good way to make the code inferable, in which case other strategies are needed.

Method 3: disable Julia's speculative optimization

The third option is to prevent Julia's speculative optimization: one could replace score(card) with invokelatest(score, card):

function tallyscores(cards)
+    s = 0
+    for card in cards
+        s += invokelatest(score, card)
+    end
+    return s
+end

This forces Julia to always look up the appropriate method of score while the code is running, and thus prevents the speculative optimizations that leave the code vulnerable to invalidation. However, the cost is that your code may run somewhat more slowly, particularly here where the call is inside a loop.

If you plan to define at least two score methods, another way to turn off this optimization would be to declare

Base.Experimental.@max_methods 1 function score end

before defining any score methods. You can read the documentation on @max_methods to learn more about how it works.

Tip

Most of us learn best by doing. Try at least one of these methods of fixing the invalidation, and use SnoopCompile to verify that it works.

Undoing the damage from invalidations

If you can't prevent the invalidation, an alternative approach is to recompile the invalidated code. For example, one could repeat the precompile workload from Blackjack in BlackjackFacecards. While this will mean that the whole "stack" will be compiled twice and cached twice (which is wasteful), it should be effective in reducing latency for users.

PrecompileTools also has a @recompile_invalidations. This isn't generally recommended for use in package (you can end up with long compile times for things you don't need), but it can be useful in personal "Startup packages" where you want to reduce latency for a particular project you're working on. See the PrecompileTools documentation for details.

diff --git a/previews/PR389/tutorials/jet/index.html b/previews/PR389/tutorials/jet/index.html new file mode 100644 index 000000000..31b712e7f --- /dev/null +++ b/previews/PR389/tutorials/jet/index.html @@ -0,0 +1,82 @@ + +Tutorial on JET integration · SnoopCompile
GitHub

Tutorial on JET integration

JET is a powerful tool for analyzing call graphs. Some of its functionality overlaps that of SnoopCompile's, that is, JET also provides mechanisms to detect potential errors. Conversely, JET is a purely static-analysis tool and lacks SnoopCompile's ability to "bridge" across runtime dispatch. In summary, JET doesn't need Julia to restart to find inference failures, but JET will only find the first inference failure. SnoopCompile has to run in a fresh session, but finds all inference failures.

For this reason, the combination of the tools provides capabilities that neither package has on its own. Specifically, one can use SnoopCompile to collect data on the callgraph and JET to perform the error analysis.

The integration between the two packages is bundled into SnoopCompile, specifically report_callee, report_callees, and report_caller. These take InferenceTrigger (see the page on inference failures) and use them to generate JET reports.

We can demonstrate both the need and use of these tools with a simple extended example.

JET usage

JET provides a useful report for the following call:

julia> using JET
+
+julia> list = Any[1,2,3];
+
+julia> sum(list)
+6
+
+julia> @report_call sum(list)
+═════ 1 possible error found ═════
+┌ sum(a::Vector{Any}) @ Base ./reducedim.jl:1010
+│┌ sum(a::Vector{Any}; dims::Colon, kw::@Kwargs{}) @ Base ./reducedim.jl:1010
+││┌ _sum(a::Vector{Any}, ::Colon) @ Base ./reducedim.jl:1014
+│││┌ _sum(a::Vector{Any}, ::Colon; kw::@Kwargs{}) @ Base ./reducedim.jl:1014
+││││┌ _sum(f::typeof(identity), a::Vector{Any}, ::Colon) @ Base ./reducedim.jl:1015
+│││││┌ _sum(f::typeof(identity), a::Vector{Any}, ::Colon; kw::@Kwargs{}) @ Base ./reducedim.jl:1015
+││││││┌ mapreduce(f::typeof(identity), op::typeof(Base.add_sum), A::Vector{Any}) @ Base ./reducedim.jl:357
+│││││││┌ mapreduce(f::typeof(identity), op::typeof(Base.add_sum), A::Vector{Any}; dims::Colon, init::Base._InitialValue) @ Base ./reducedim.jl:357
+││││││││┌ _mapreduce_dim(f::typeof(identity), op::typeof(Base.add_sum), ::Base._InitialValue, A::Vector{Any}, ::Colon) @ Base ./reducedim.jl:365
+│││││││││┌ _mapreduce(f::typeof(identity), op::typeof(Base.add_sum), ::IndexLinear, A::Vector{Any}) @ Base ./reduce.jl:432
+││││││││││┌ mapreduce_empty_iter(f::typeof(identity), op::typeof(Base.add_sum), itr::Vector{Any}, ItrEltype::Base.HasEltype) @ Base ./reduce.jl:380
+│││││││││││┌ reduce_empty_iter(op::Base.MappingRF{typeof(identity), typeof(Base.add_sum)}, itr::Vector{Any}, ::Base.HasEltype) @ Base ./reduce.jl:384
+││││││││││││┌ reduce_empty(op::Base.MappingRF{typeof(identity), typeof(Base.add_sum)}, ::Type{Any}) @ Base ./reduce.jl:361
+│││││││││││││┌ mapreduce_empty(::typeof(identity), op::typeof(Base.add_sum), T::Type{Any}) @ Base ./reduce.jl:372
+││││││││││││││┌ reduce_empty(::typeof(Base.add_sum), ::Type{Any}) @ Base ./reduce.jl:352
+│││││││││││││││┌ reduce_empty(::typeof(+), ::Type{Any}) @ Base ./reduce.jl:343
+││││││││││││││││┌ zero(::Type{Any}) @ Base ./missing.jl:106
+│││││││││││││││││ MethodError: no method matching zero(::Type{Any}): Base.throw(Base.MethodError(zero, tuple(Base.Any)::Tuple{DataType})::MethodError)
+││││││││││││││││└────────────────────

The final line reveals that while sum happened to work for the specific list we provided, it nevertheless has a "gotcha" for the types we supplied: if list happens to be empty, sum depends on the ability to generate zero(T) for the element-type T of list, but because we constructed list to have an element-type of Any, there is no such method and sum(Any[]) throws an error:

julia> sum(Int[])
+0
+
+julia> sum(Any[])
+ERROR: MethodError: no method matching zero(::Type{Any})
+[...]

(This can be circumvented with sum(Any[]; init=0).)

This is the kind of bug that can "lurk" undetected for a long time, and JET excels at exposing them.

JET limitations

JET is a static analyzer, meaning that it works from the argument types provided, and that has an important consequence: if a particular callee can't be inferred, JET can't analyze it. We can illustrate that quite easily:

julia> callsum(listcontainer) = sum(listcontainer[1])
+callsum (generic function with 1 method)
+
+julia> lc = Any[list];   # "hide" `list` inside a Vector{Any}
+
+julia> callsum(lc)
+6
+
+julia> @report_call callsum(lc)
+No errors detected

Because we "hid" the type of list from inference, JET couldn't tell what specific instance of sum was going to be called, so it was unable to detect any errors.

JET/SnoopCompile integration

The resolution to this problem is to use SnoopCompile to do the "data collection" and JET to do the analysis. The key reason is that SnoopCompile is a dynamic analyzer, and is capable of bridging across runtime dispatch. As always, you need to do the data collection in a fresh session where the calls have not previously been inferred. After restarting Julia, we can do this:

julia> using SnoopCompile, JET, Cthulhu
+
+julia> using JET # this is necessary to enable the integration
+
+julia> list = Any[1,2,3];
+
+julia> lc = Any[list];   # "hide" `list` inside a Vector{Any}
+
+julia> callsum(listcontainer) = sum(listcontainer[1]);
+
+julia> tinf = @snoop_inference callsum(lc)
+InferenceTimingNode: 0.039239/0.046793 on Core.Compiler.Timings.ROOT() with 2 direct children
+
+julia> tinf.children
+2-element Vector{SnoopCompileCore.InferenceTimingNode}:
+ InferenceTimingNode: 0.000869/0.000869 on callsum(::Vector{Any}) with 0 direct children
+ InferenceTimingNode: 0.000196/0.006685 on sum(::Vector{Any}) with 1 direct children
+
+julia> report_callees(inference_triggers(tinf))
+1-element Vector{Pair{InferenceTrigger, JET.JETCallResult{JET.JETAnalyzer{JET.BasicPass}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}}}}:
+ Inference triggered to call sum(::Vector{Any}) from callsum (./REPL[5]:1) with specialization callsum(::Vector{Any}) => ═════ 1 possible error found ═════
+┌ sum(a::Vector{Any}) @ Base ./reducedim.jl:1010
+│┌ sum(a::Vector{Any}; dims::Colon, kw::@Kwargs{}) @ Base ./reducedim.jl:1010
+││┌ _sum(a::Vector{Any}, ::Colon) @ Base ./reducedim.jl:1014
+│││┌ _sum(a::Vector{Any}, ::Colon; kw::@Kwargs{}) @ Base ./reducedim.jl:1014
+││││┌ _sum(f::typeof(identity), a::Vector{Any}, ::Colon) @ Base ./reducedim.jl:1015
+│││││┌ _sum(f::typeof(identity), a::Vector{Any}, ::Colon; kw::@Kwargs{}) @ Base ./reducedim.jl:1015
+││││││┌ mapreduce(f::typeof(identity), op::typeof(Base.add_sum), A::Vector{Any}) @ Base ./reducedim.jl:357
+│││││││┌ mapreduce(f::typeof(identity), op::typeof(Base.add_sum), A::Vector{Any}; dims::Colon, init::Base._InitialValue) @ Base ./reducedim.jl:357
+││││││││┌ _mapreduce_dim(f::typeof(identity), op::typeof(Base.add_sum), ::Base._InitialValue, A::Vector{Any}, ::Colon) @ Base ./reducedim.jl:365
+│││││││││┌ _mapreduce(f::typeof(identity), op::typeof(Base.add_sum), ::IndexLinear, A::Vector{Any}) @ Base ./reduce.jl:432
+││││││││││┌ mapreduce_empty_iter(f::typeof(identity), op::typeof(Base.add_sum), itr::Vector{Any}, ItrEltype::Base.HasEltype) @ Base ./reduce.jl:380
+│││││││││││┌ reduce_empty_iter(op::Base.MappingRF{typeof(identity), typeof(Base.add_sum)}, itr::Vector{Any}, ::Base.HasEltype) @ Base ./reduce.jl:384
+││││││││││││┌ reduce_empty(op::Base.MappingRF{typeof(identity), typeof(Base.add_sum)}, ::Type{Any}) @ Base ./reduce.jl:361
+│││││││││││││┌ mapreduce_empty(::typeof(identity), op::typeof(Base.add_sum), T::Type{Any}) @ Base ./reduce.jl:372
+││││││││││││││┌ reduce_empty(::typeof(Base.add_sum), ::Type{Any}) @ Base ./reduce.jl:352
+│││││││││││││││┌ reduce_empty(::typeof(+), ::Type{Any}) @ Base ./reduce.jl:343
+││││││││││││││││┌ zero(::Type{Any}) @ Base ./missing.jl:106
+│││││││││││││││││ MethodError: no method matching zero(::Type{Any}): Base.throw(Base.MethodError(zero, tuple(Base.Any)::Tuple{DataType})::MethodError)
+││││││││││││││││└────────────────────

Because SnoopCompile collected the runtime-dispatched sum call, we can pass it to JET. report_callees filters those calls which generate JET reports, allowing you to focus on potential errors.

Note

JET integration is enabled only if JET.jl and Cthulhu.jl have been loaded into your main session. This is why there's the using JET, Cthulhu statement included in the example given.

diff --git a/previews/PR389/tutorials/llvm_timings.yaml b/previews/PR389/tutorials/llvm_timings.yaml new file mode 100644 index 000000000..94312d065 --- /dev/null +++ b/previews/PR389/tutorials/llvm_timings.yaml @@ -0,0 +1,485 @@ +- + before: + "julia_NamedTuple_105": + instructions: 30 + basicblocks: 1 + time_ns: 780997 + optlevel: 2 + after: + "julia_NamedTuple_105": + instructions: 21 + basicblocks: 1 +- + before: + "julia_peakflops_107": + instructions: 18 + basicblocks: 1 + time_ns: 941118 + optlevel: 1 + after: + "julia_peakflops_107": + instructions: 21 + basicblocks: 1 +- + before: + "julia_#peakflops#81_109": + instructions: 49 + basicblocks: 1 + time_ns: 558509 + optlevel: 1 + after: + "julia_#peakflops#81_109": + instructions: 78 + basicblocks: 1 +- + before: + "julia_Signed_111": + instructions: 31 + basicblocks: 7 + time_ns: 692711 + optlevel: 2 + after: + "julia_Signed_111": + instructions: 13 + basicblocks: 3 +- + before: + "julia_getproperty_113": + instructions: 38 + basicblocks: 3 + time_ns: 1063709 + optlevel: 2 + after: + "julia_getproperty_113": + instructions: 30 + basicblocks: 3 +- + before: + "julia_reduce_empty_115": + instructions: 21 + basicblocks: 2 + time_ns: 510789 + optlevel: 2 + after: + "julia_reduce_empty_115": + instructions: 18 + basicblocks: 1 +- + before: + "julia_throw_boundserror_129": + instructions: 28 + basicblocks: 3 + time_ns: 528693 + optlevel: 2 + after: + "julia_throw_boundserror_129": + instructions: 12 + basicblocks: 1 +- + before: + "julia_mapreduce_impl_126": + instructions: 404 + basicblocks: 85 + time_ns: 8630110 + optlevel: 2 + after: + "julia_mapreduce_impl_126": + instructions: 233 + basicblocks: 18 +- + before: + "julia__mapreduce_123": + instructions: 116 + basicblocks: 11 + time_ns: 3578612 + optlevel: 2 + after: + "julia__mapreduce_123": + instructions: 155 + basicblocks: 12 +- + before: + "julia_#peakflops#253_120": + instructions: 201 + basicblocks: 39 + time_ns: 4315866 + optlevel: 2 + after: + "julia_#peakflops#253_120": + instructions: 175 + basicblocks: 15 +- + before: + "julia_peakflops_117": + instructions: 24 + basicblocks: 1 + time_ns: 517352 + optlevel: 2 + after: + "julia_peakflops_117": + instructions: 16 + basicblocks: 1 +- + before: + "julia_ones_131": + instructions: 80 + basicblocks: 13 + time_ns: 3541251 + optlevel: 2 + after: + "julia_ones_131": + instructions: 172 + basicblocks: 11 +- + before: + "julia_in_133": + instructions: 25 + basicblocks: 1 + time_ns: 835389 + optlevel: 2 + after: + "julia_in_133": + instructions: 12 + basicblocks: 1 +- + before: + "julia_ntuple_135": + instructions: 27 + basicblocks: 1 + time_ns: 703301 + optlevel: 2 + after: + "julia_ntuple_135": + instructions: 13 + basicblocks: 1 +- + before: + "julia_CartesianIndex_137": + instructions: 27 + basicblocks: 1 + time_ns: 584187 + optlevel: 2 + after: + "julia_CartesianIndex_137": + instructions: 12 + basicblocks: 1 +- + before: + "julia__chkstride1_139": + instructions: 25 + basicblocks: 4 + time_ns: 748456 + optlevel: 2 + after: + "julia__chkstride1_139": + instructions: 14 + basicblocks: 3 +- + before: + "julia_max_141": + instructions: 37 + basicblocks: 1 + time_ns: 599587 + optlevel: 2 + after: + "julia_max_141": + instructions: 12 + basicblocks: 1 +- + before: + "julia_sqrt_143": + instructions: 26 + basicblocks: 4 + time_ns: 553850 + optlevel: 2 + after: + "julia_sqrt_143": + instructions: 14 + basicblocks: 3 +- + before: + "julia_convert_145": + instructions: 17 + basicblocks: 1 + time_ns: 393409 + optlevel: 2 + after: + "julia_convert_145": + instructions: 9 + basicblocks: 1 +- + before: + "julia_getproperty_147": + instructions: 31 + basicblocks: 3 + time_ns: 831422 + optlevel: 2 + after: + "julia_getproperty_147": + instructions: 17 + basicblocks: 3 +- + before: + "julia_throw_uplo_149": + instructions: 29 + basicblocks: 3 + time_ns: 965724 + optlevel: 2 + after: + "julia_throw_uplo_149": + instructions: 35 + basicblocks: 1 +- + before: + "julia_char_uplo_151": + instructions: 36 + basicblocks: 6 + time_ns: 702669 + optlevel: 2 + after: + "julia_char_uplo_151": + instructions: 17 + basicblocks: 4 +- + before: + "julia_MulAddMul_153": + instructions: 75 + basicblocks: 7 + time_ns: 1688291 + optlevel: 2 + after: + "julia_MulAddMul_153": + instructions: 45 + basicblocks: 8 +- + before: + "julia_getproperty_155": + instructions: 33 + basicblocks: 3 + time_ns: 922012 + optlevel: 2 + after: + "julia_getproperty_155": + instructions: 18 + basicblocks: 3 +- + before: + "julia_promote_157": + instructions: 31 + basicblocks: 1 + time_ns: 820061 + optlevel: 2 + after: + "julia_promote_157": + instructions: 21 + basicblocks: 1 +- + before: + "julia_indexed_iterate_159": + instructions: 35 + basicblocks: 3 + time_ns: 787840 + optlevel: 2 + after: + "julia_indexed_iterate_159": + instructions: 22 + basicblocks: 3 +- + before: + "julia_indexed_iterate_161": + instructions: 35 + basicblocks: 3 + time_ns: 757001 + optlevel: 2 + after: + "julia_indexed_iterate_161": + instructions: 22 + basicblocks: 3 +- + before: + "julia_matmul2x2!_216": + instructions: 1255 + basicblocks: 58 + time_ns: 7881463 + optlevel: 2 + after: + "julia_matmul2x2!_216": + instructions: 248 + basicblocks: 23 +- + before: + "julia_matmul3x3!_214": + instructions: 2498 + basicblocks: 58 + time_ns: 12165651 + optlevel: 2 + after: + "julia_matmul3x3!_214": + instructions: 374 + basicblocks: 23 +- + before: + "julia_gemm!_212": + instructions: 575 + basicblocks: 128 + time_ns: 5277221 + optlevel: 2 + after: + "julia_gemm!_212": + instructions: 212 + basicblocks: 14 +- + before: + "julia_throw_boundserror_198": + instructions: 34 + basicblocks: 3 + time_ns: 806816 + optlevel: 2 + after: + "julia_throw_boundserror_198": + instructions: 40 + basicblocks: 1 +- + before: + "julia_copy_transpose!_203": + instructions: 504 + basicblocks: 71 + time_ns: 13943400 + optlevel: 2 + after: + "julia_copy_transpose!_203": + instructions: 364 + basicblocks: 30 +- + before: + "julia_copyto!_200": + instructions: 496 + basicblocks: 68 + time_ns: 18471854 + optlevel: 2 + after: + "julia_copyto!_200": + instructions: 705 + basicblocks: 32 +- + before: + "julia_throw_boundserror_186": + instructions: 36 + basicblocks: 3 + time_ns: 1033150 + optlevel: 2 + after: + "julia_throw_boundserror_186": + instructions: 50 + basicblocks: 1 +- + before: + "julia_throw_boundserror_196": + instructions: 38 + basicblocks: 3 + time_ns: 870345 + optlevel: 2 + after: + "julia_throw_boundserror_196": + instructions: 50 + basicblocks: 1 +- + before: + "julia_mightalias_194": + instructions: 183 + basicblocks: 21 + time_ns: 2190675 + optlevel: 2 + after: + "julia_mightalias_194": + instructions: 69 + basicblocks: 8 +- + before: + "julia_copyto_unaliased!_183": + instructions: 697 + basicblocks: 130 + time_ns: 8510715 + optlevel: 2 + after: + "julia_copyto_unaliased!_183": + instructions: 159 + basicblocks: 12 +- + before: + "julia_copyto!_179": + instructions: 54 + basicblocks: 3 + "julia_unaliascopy_191": + instructions: 108 + basicblocks: 18 + "julia_unalias_188": + instructions: 60 + basicblocks: 3 + time_ns: 3773537 + optlevel: 2 + after: + "julia_copyto!_179": + instructions: 49 + basicblocks: 3 + "julia_unaliascopy_191": + instructions: 65 + basicblocks: 1 + "julia_unalias_188": + instructions: 52 + basicblocks: 4 +- + before: + "julia_throwdm_177": + instructions: 37 + basicblocks: 3 + time_ns: 910921 + optlevel: 2 + after: + "julia_throwdm_177": + instructions: 57 + basicblocks: 1 +- + before: + "julia__generic_matmatmul!_167": + instructions: 5735 + basicblocks: 1344 + time_ns: 232740655 + optlevel: 2 + after: + "julia__generic_matmatmul!_167": + instructions: 6606 + basicblocks: 397 +- + before: + "julia_gemm_wrapper!_206": + instructions: 541 + basicblocks: 113 + time_ns: 7897884 + optlevel: 2 + after: + "julia_gemm_wrapper!_206": + instructions: 247 + basicblocks: 19 +- + before: + "julia_*_163": + instructions: 151 + basicblocks: 53 + time_ns: 2230409 + optlevel: 2 + after: + "julia_*_163": + instructions: 38 + basicblocks: 1 +- + before: + "julia_getindex_218": + instructions: 57 + basicblocks: 4 + time_ns: 1402474 + optlevel: 2 + after: + "julia_getindex_218": + instructions: 38 + basicblocks: 4 diff --git a/previews/PR389/tutorials/pgdsgui/index.html b/previews/PR389/tutorials/pgdsgui/index.html new file mode 100644 index 000000000..424da7508 --- /dev/null +++ b/previews/PR389/tutorials/pgdsgui/index.html @@ -0,0 +1,85 @@ + +Profile-guided despecialization · SnoopCompile
GitHub

Profile-guided despecialization

Julia's multiple dispatch allows developers to create methods for specific argument types. On top of this, the Julia compiler performs automatic specialization:

function countnonzeros(A::AbstractArray)
+    ...
+end

will be compiled separately for Vector{Int}, Matrix{Float64}, SubArray{...}, and so on, if it gets called for each of these types. Each specialization (each MethodInstance with different argument types) costs extra inference and code-generation time, so while specialization often improves runtime performance, that has to be weighed against the cost in latency. There are also cases in which overspecialization can hurt both run-time and compile-time performance. Consequently, an analysis of specialization can be a powerful tool for improving package quality.

SnoopCompile ships with an interactive tool, pgdsgui, short for "Profile-guided despecialization." The name is a reference to a related technique, profile-guided optimization (PGO). Both PGO and PGDS use runtime profiling to help guide decisions about code optimization. PGO is often used in languages whose default mode is to avoid specialization, whereas PGDS seems more appropriate for a language like Julia which specializes by default. While PGO is sometimes an automatic part of the compiler that optimizes code midstream during execution, SnoopCompile's PGDS is a tool for making static changes (edits) to code. Again, this seems appropriate for a language where specialization typically happens prior to the first execution of the code.

Using the PGDS graphical user interface

To illustrate the use of PGDS, we'll examine an example in which some methods get specialized for hundreds of types. To keep this example short, we'll create functions that operate on types themselves.

Note

As background to this example, for a DataType T, T.name returns a Core.TypeName, and T.name.name returns the name as a Symbol. Base.unwrap_unionall(T) preserves DataTypes as-is, but converts a UnionAll type into a DataType.

"""
+    spelltype(T::Type)
+
+Spell out a type's name, one character at a time.
+"""
+function spelltype(::Type{T}) where T
+    name = Base.unwrap_unionall(T).name.name
+    str = ""
+    for c in string(name)
+        str *= c
+    end
+    return str
+end
+
+"""
+    mappushes!(f, dest, src)
+
+Like `map!` except it grows `dest` by one for each element in `src`.
+"""
+function mappushes!(f, dest, src)
+    for item in src
+        push!(dest, f(item))
+    end
+    return dest
+end
+
+mappushes(f, src) = mappushes!(f, [], src)

There are two stages to PGDS: first (and preferrably starting in a fresh Julia session), we profile type-inference:

julia> using SnoopCompileCore
+
+julia> Ts = subtypes(Any);  # get a long list of different types
+
+julia> tinf = @snoop_inference mappushes(spelltype, Ts);

Then, in the same session, profile the runtime:

julia> using Profile
+
+julia> @profile mappushes(spelltype, Ts);

Typically, it's best if the workload here is reflective of a "real" workload (test suites often are not), so that you get a realistic view of where your code spends its time during actual use.

Now let's launch the PDGS GUI:

julia> using SnoopCompile
+
+julia> import PyPlot        # the GUI is dependent on PyPlot, must load it before the next line
+
+julia> mref, ax = pgdsgui(tinf);

You should see something like this:

pgdsgui

In this graph, each dot corresponds to a single method; for this method, we plot inference time (vertical axis) against the run time (horizontal axis). The coloration of each dot encodes the number of specializations (the number of distinct MethodInstances) for that method; by default it even includes the number of times the method was inferred for specific constants (constant propagation), although you can exclude those cases using the consts=false keyword. Finally, the edge of each dot encodes the fraction of time spent on runtime dispatch (aka, type-instability), with black indicating 0% and bright red indicating 100%.

In this plot, we can see that no method runs for more than 0.01 seconds, whereas some methods have an aggregate inference time of up to 1s. Overall, inference-time dominates this plot. Moreover, for the most expensive cases, the number of specializations is in the hundreds or thousands.

To learn more about what is being specialized, just click on one of the dots; if you choose the upper-left dot (the one with highest inference time), you should see something like this in your REPL:

spelltype(::Type{T}) where T in Main at REPL[1]:6 (586 specializations)

This tells you the method corresponding to this dot. Moreover, mref (one of the outputs of pgdsgui) holds this method:

julia> mref[]
+spelltype(::Type{T}) where T in Main at REPL[1]:6

What are the specializations, and how costly was each?

julia> collect_for(mref[], tinf)
+586-element Vector{SnoopCompileCore.InferenceTimingNode}:
+ InferenceTimingNode: 0.003486/0.020872 on InferenceFrameInfo for spelltype(::Type{T}) where T with 7 direct children
+ InferenceTimingNode: 0.003281/0.003892 on InferenceFrameInfo for spelltype(::Type{AbstractArray}) with 2 direct children
+ InferenceTimingNode: 0.003349/0.004023 on InferenceFrameInfo for spelltype(::Type{AbstractChannel}) with 2 direct children
+ InferenceTimingNode: 0.000827/0.001154 on InferenceFrameInfo for spelltype(::Type{AbstractChar}) with 5 direct children
+ InferenceTimingNode: 0.003326/0.004070 on InferenceFrameInfo for spelltype(::Type{AbstractDict}) with 2 direct children
+ InferenceTimingNode: 0.000833/0.001159 on InferenceFrameInfo for spelltype(::Type{AbstractDisplay}) with 5 direct children
+⋮
+ InferenceTimingNode: 0.000848/0.001160 on InferenceFrameInfo for spelltype(::Type{YAML.Span}) with 5 direct children
+ InferenceTimingNode: 0.000838/0.001148 on InferenceFrameInfo for spelltype(::Type{YAML.Token}) with 5 direct children
+ InferenceTimingNode: 0.000833/0.001150 on InferenceFrameInfo for spelltype(::Type{YAML.TokenStream}) with 5 direct children
+ InferenceTimingNode: 0.000809/0.001126 on InferenceFrameInfo for spelltype(::Type{YAML.YAMLDocIterator}) with 5 direct children

So we can see that one MethodInstance for each type in Ts was generated.

If you see a list of MethodInstances, and the first is extremely costly in terms of inclusive time, but all the rest are not, then you might not need to worry much about over-specialization: your inference time will be dominated by that one costly method (often, the first time the method was called), and the fact that lots of additional specializations were generated may not be anything to worry about. However, in this case, the distribution of time is fairly flat, each contributing a small portion to the overall time. In such cases, over-specialization may be a problem.

Reducing specialization with @nospecialize

How might we change this? To reduce the number of specializations of spelltype, we use @nospecialize in its definition:

function spelltype(@nospecialize(T::Type))
+    name = Base.unwrap_unionall(T).name.name
+    str = ""
+    for c in string(name)
+        str *= c
+    end
+    return str
+end
Warning

where type-parameters force specialization: regardless of @nospecialize: in spelltype(@nospecialize(::Type{T})) where T, the @nospecialize has no impact and you'll get full specialization on T. Instead, use @nospecialize(T::Type) as shown.

If we now rerun that demo, you should see a plot of the same kind as shown above, but with different costs for each dot. The differences are best appreciated comparing them side-by-side (pgdsgui allows you to specify a particular axis into which to plot):

pgdsgui-compare

The results with @nospecialize are shown on the right. You can see that:

  • Now, the most expensive-to-infer method is <0.01s (formerly it was ~1s)
  • No method has more than 2 specializations

Moreover, our runtimes (post-compilation) really aren't very different, both in the ballpark of a few millseconds (you can check with @btime from BenchmarkTools to be sure).

In total, we've reduced compilation time approximately 50× without appreciably hurting runtime performance. Reducing specialization, when appropriate, can often yield your biggest reductions in latency.

Tip

When you add @nospecialize, sometimes it's beneficial to compensate for the loss of inferrability by adding some type assertions. This topic will be discussed in greater detail in the next section, but for the example above we can improve runtime performance by annotating the return type of Base.unwrap_unionall(T): name = (Base.unwrap_unionall(T)::DataType).name.name. Then, later lines in spelltype know that name is a Symbol.

With this change, the unspecialized variant outperforms the specialized variant in both compile-time and run-time. The reason is that the specialized variant of spell needs to be called by runtime dispatch, whereas for the unspecialized variant there's only one MethodInstance, so its dispatch is handled at compile time.

Blocking inference: Base.@nospecializeinfer

Perhaps surprisingly, @nospecialize doesn't prevent Julia's type-inference from inspecting a method. The reason is that it's sometimes useful if the caller knows what type will be returned, even if the callee doesn't exploit this information. In our mappushes example, this isn't an issue, because Ts is a Vector{Any} and this already defeats inference. But in other cases, the caller may be inferable but (to save inference time) you'd prefer to block inference from inspecting the method.

Beginning with Julia 1.10, you can prevent even inference from "looking at" @nospecialized arguments with Base.@nospecializeinfer:

Base.@nospecializeinfer function spelltype(@nospecialize(T::Type))
+    name = (Base.unwrap_unionall(T)::DataType).name.name
+    str = ""
+    for c in string(name)
+        str *= c
+    end
+    return str
+end

Note that the ::DataType annotation described in the tip above is still effective and recommended. @nospecializeinfer directly affects only arguments that are marked with @nospecialize, and in this case the type-assertion prevents type uncertainty from propagating to the remainder of the function.

Argument standardization

While not immediately relevant to the example above, a very important technique that falls within the domain of reducing specialization is argument standardization: instead of

function foo(x, y)
+    # some huge function, slow to compile, and you'd prefer not to compile it many times for different types of x and y
+end

consider whether you can safely write this as

function foo(x::X, y::Y)   # X and Y are concrete types
+    # some huge function, but the concrete typing ensures you only compile it once
+end
+foo(x, y) = foo(convert(X, x)::X, convert(Y, y)::Y)   # this allows you to still call it with any argument types

The "standardizing method" foo(x, y) is short and therefore quick to compile, so it doesn't really matter if you compile many different instances.

Tip

In convert(X, x)::X, the final ::X guards against a broken convert method that fails to return an object of type X. Without it, foo(x, y) might call itself in an infinite loop, ultimately triggering a StackOverflowError. StackOverflowErrors are a particularly nasty form of error, and the typeassert ensures that you get a simple TypeError instead.

In other contexts, such typeasserts would also have the effect of fixing inference problems even if the type of x is not well-inferred (this will be discussed in more detail later), but in this case dispatch to foo(x::X, y::Y) would have ensured the same outcome.

There are of course cases where you can't implement your code in this way: after all, part of the power of Julia is the ability of generic methods to "do the right thing" for a wide variety of types. But in cases where you're doing a standard task, e.g., writing some data to a file, there's really no good reason to recompile your save method for a filename encoded as a String and again for a SubString{String} and again for a SubstitutionString and again for an AbstractString and ...: after all, the core of the save method probably isn't sensitive to the precise encoding of the filename. In such cases, it should be safe to convert all filenames to String, thereby reducing the diversity of input arguments for expensive-to-compile methods.

If you're using pgdsgui, the cost of inference and the number of specializations may guide you to click on specific dots; collect_for(mref[], tinf) then allows you to detect and diagnose cases where argument standardization might be helpful.

You can do the same analysis without pgdsgui. The opportunity for argument standardization is often facilitated by looking at, e.g.,

julia> tms = accumulate_by_source(flatten(tinf));  # collect all MethodInstances that belong to the same Method
+
+julia> t, m = tms[end-1]        # the ones towards the end take the most time, maybe they are over-specialized?
+(0.4138147, save(filename::AbstractString, data) in SomePkg at /pathto/SomePkg/src/SomePkg.jl:23)
+
+julia> methodinstances(m)       # let's see what specializations we have
+7-element Vector{Core.MethodInstance}:
+ MethodInstance for save(::String, ::Vector{SomePkg.SomeDataType})
+ MethodInstance for save(::SubString{String}, ::Vector{SomePkg.SomeDataType})
+ MethodInstance for save(::AbstractString, ::Vector{SomePkg.SomeDataType})
+ MethodInstance for save(::String, ::Vector{SomePkg.SomeDataType{SubString{String}}})
+ MethodInstance for save(::SubString{String}, ::Array)
+ MethodInstance for save(::String, ::Vector{var"#s92"} where var"#s92"<:SomePkg.SomeDataType)
+ MethodInstance for save(::String, ::Array)

In this case we have 7 MethodInstances (some of which are clearly due to poor inferrability of the caller) when one might suffice.

diff --git a/previews/PR389/tutorials/snoop_inference/index.html b/previews/PR389/tutorials/snoop_inference/index.html new file mode 100644 index 000000000..53513aad4 --- /dev/null +++ b/previews/PR389/tutorials/snoop_inference/index.html @@ -0,0 +1,407 @@ + +Tutorial on @snoop_inference · SnoopCompile
GitHub

Tutorial on @snoop_inference

Inference may occur when you run code. Inference is the first step of type-specialized compilation. @snoop_inference collects data on what inference is doing, giving you greater insight into what is being inferred and how long it takes.

Compilation is needed only for "fresh" code; running the demos below on code you've already used will yield misleading results. When analyzing inference, you're advised to always start from a fresh session. See also the comparison between SnoopCompile and JET.

Add SnoopCompileCore, SnoopCompile, and helper packages to your environment

Here, we'll add these packages to your default environment. (With the exception of AbstractTrees, these "developer tool" packages should not be added to the Project file of any real packages unless you're extending the tool itself.)

julia> using Pkg
julia> Pkg.add(["SnoopCompileCore", "SnoopCompile", "AbstractTrees", "ProfileView"]);   Resolving package versions...
+   Installed Graphite2_jll ───────────── v1.3.14+0
+   Installed Dbus_jll ────────────────── v1.14.10+0
+   Installed Wayland_protocols_jll ───── v1.31.0+0
+   Installed Scratch ─────────────────── v1.2.1
+   Installed JpegTurbo_jll ───────────── v3.0.3+0
+   Installed gdk_pixbuf_jll ──────────── v2.42.10+0
+   Installed iso_codes_jll ───────────── v4.15.1+0
+   Installed Xorg_libXcomposite_jll ──── v0.4.5+4
+   Installed XML2_jll ────────────────── v2.13.1+0
+   Installed LERC_jll ────────────────── v3.0.0+1
+   Installed Xorg_libXext_jll ────────── v1.3.6+0
+   Installed Libmount_jll ────────────── v2.40.1+0
+   Installed Pixman_jll ──────────────── v0.43.4+0
+   Installed IntervalSets ────────────── v0.7.10
+   Installed Revise ──────────────────── v3.5.15
+   Installed Wayland_jll ─────────────── v1.21.0+1
+   Installed Pango_jll ───────────────── v1.52.2+0
+   Installed Gettext_jll ─────────────── v0.21.0+0
+   Installed Zstd_jll ────────────────── v1.5.6+0
+   Installed hicolor_icon_theme_jll ──── v0.17.0+3
+   Installed Cairo ───────────────────── v1.0.5
+   Installed Xorg_xtrans_jll ─────────── v1.5.0+0
+   Installed SnoopCompileCore ────────── v2.10.1
+   Installed xkbcommon_jll ───────────── v1.4.1+1
+   Installed Bzip2_jll ───────────────── v1.0.8+1
+   Installed LoweredCodeUtils ────────── v2.3.2
+   Installed at_spi2_atk_jll ─────────── v2.34.1+4
+   Installed ATK_jll ─────────────────── v2.38.0+0
+   Installed Xorg_xkbcomp_jll ────────── v1.4.6+0
+   Installed Libgcrypt_jll ───────────── v1.8.11+0
+   Installed Xorg_xkeyboard_config_jll ─ v2.39.0+0
+   Installed HarfBuzz_jll ────────────── v2.8.1+1
+   Installed XZ_jll ──────────────────── v5.4.6+0
+   Installed LLVMOpenMP_jll ──────────── v15.0.7+0
+   Installed SnoopCompile ────────────── v2.10.8
+   Installed Xorg_libXrandr_jll ──────── v1.5.2+4
+   Installed Xorg_libXfixes_jll ──────── v5.0.3+4
+   Installed Libtiff_jll ─────────────── v4.6.0+0
+   Installed at_spi2_core_jll ────────── v2.34.0+4
+   Installed LZO_jll ─────────────────── v2.10.2+0
+   Installed NaNMath ─────────────────── v1.0.2
+   Installed Libffi_jll ──────────────── v3.2.2+1
+   Installed Xorg_libXrender_jll ─────── v0.9.11+0
+   Installed Glib_jll ────────────────── v2.80.2+0
+   Installed Libglvnd_jll ────────────── v1.6.0+0
+   Installed FriBidi_jll ─────────────── v1.0.14+0
+   Installed Xorg_libpthread_stubs_jll ─ v0.1.1+0
+   Installed JET ─────────────────────── v0.8.29
+   Installed Xorg_libXi_jll ──────────── v1.7.10+4
+   Installed GTK3_jll ────────────────── v3.24.31+0
+   Installed Cairo_jll ───────────────── v1.18.0+2
+   Installed XSLT_jll ────────────────── v1.1.41+0
+   Installed Fontconfig_jll ──────────── v2.13.96+0
+   Installed Graphics ────────────────── v1.1.2
+   Installed Libgpg_error_jll ────────── v1.49.0+0
+   Installed Gtk ─────────────────────── v1.3.0
+   Installed Xorg_libxkbfile_jll ─────── v1.1.2+0
+   Installed Xorg_libXinerama_jll ────── v1.1.4+4
+   Installed Xorg_libX11_jll ─────────── v1.8.6+0
+   Installed Xorg_libXdmcp_jll ───────── v1.1.4+0
+   Installed FreeType2_jll ───────────── v2.13.2+0
+   Installed Observables ─────────────── v0.5.5
+   Installed Xorg_libXau_jll ─────────── v1.0.11+0
+   Installed EpollShim_jll ───────────── v0.0.20230411+0
+   Installed adwaita_icon_theme_jll ──── v3.33.93+0
+   Installed Xorg_libXcursor_jll ─────── v1.2.0+4
+   Installed Libepoxy_jll ────────────── v1.5.10+0
+   Installed RoundingIntegers ────────── v1.1.0
+   Installed Libuuid_jll ─────────────── v2.40.1+0
+   Installed Xorg_libxcb_jll ─────────── v1.17.0+0
+   Installed libpng_jll ──────────────── v1.6.43+1
+   Installed Xorg_libXtst_jll ────────── v1.2.3+4
+   Installed Xorg_libXdamage_jll ─────── v1.1.5+4
+   Installed ProfileView ─────────────── v1.7.2
+   Installed Librsvg_jll ─────────────── v2.54.5+0
+   Installed GtkObservables ──────────── v1.2.9
+    Updating `~/work/SnoopCompile.jl/SnoopCompile.jl/docs/build/tutorials/BlackjackFacecards/Project.toml`
+  [1520ce14] + AbstractTrees v0.4.5
+  [c46f51b8] + ProfileView v1.7.2
+  [aa65fe97] + SnoopCompile v2.10.8
+  [e2b509da] + SnoopCompileCore v2.10.1
+    Updating `~/work/SnoopCompile.jl/SnoopCompile.jl/docs/build/tutorials/BlackjackFacecards/Manifest.toml`
+  [1520ce14] + AbstractTrees v0.4.5
+  [159f3aea] + Cairo v1.0.5
+  [da1fd8a2] + CodeTracking v1.3.5
+  [3da002f7] + ColorTypes v0.11.5
+  [5ae59095] + Colors v0.12.11
+  [f68482b8] + Cthulhu v2.12.7
+  [5789e2e9] + FileIO v1.16.3
+  [53c48c17] + FixedPointNumbers v0.8.5
+  [08572546] + FlameGraphs v1.0.0
+  [1eca21be] + FoldingTrees v1.2.1
+  [a2bd30eb] + Graphics v1.1.2
+  [4c0ca9eb] + Gtk v1.3.0
+⌅ [8710efd8] + GtkObservables v1.2.9
+  [9b13fd28] + IndirectArrays v1.0.0
+  [8197267c] + IntervalSets v0.7.10
+⌅ [c3a54625] + JET v0.8.29
+  [692b3bcd] + JLLWrappers v1.5.0
+  [aa1ae85d] + JuliaInterpreter v0.9.32
+  [70703baa] + JuliaSyntax v0.4.9
+  [1d6d02ad] + LeftChildRightSiblingTrees v0.2.0
+⌅ [6f1432cf] + LoweredCodeUtils v2.3.2
+  [1914dd2f] + MacroTools v0.5.13
+  [85b6ec6f] + MethodAnalysis v0.4.13
+  [77ba4419] + NaNMath v1.0.2
+  [510215fc] + Observables v0.5.5
+  [bac558e1] + OrderedCollections v1.6.3
+  [c46f51b8] + ProfileView v1.7.2
+  [189a3867] + Reexport v1.2.2
+  [ae029012] + Requires v1.3.0
+  [295af30f] + Revise v3.5.15
+  [d5f540fe] + RoundingIntegers v1.1.0
+  [6c6a2e73] + Scratch v1.2.1
+  [aa65fe97] + SnoopCompile v2.10.8
+  [e2b509da] + SnoopCompileCore v2.10.1
+  [69024149] + StringEncodings v0.3.7
+  [d265eb64] + TypedSyntax v1.3.1
+  [b8c1c048] + WidthLimitedIO v1.0.1
+  [ddb6d928] + YAML v0.4.11
+  [7b86fcea] + ATK_jll v2.38.0+0
+  [6e34b625] + Bzip2_jll v1.0.8+1
+  [83423d85] + Cairo_jll v1.18.0+2
+  [ee1fde0b] + Dbus_jll v1.14.10+0
+  [2702e6a9] + EpollShim_jll v0.0.20230411+0
+  [2e619515] + Expat_jll v2.6.2+0
+  [a3f928ae] + Fontconfig_jll v2.13.96+0
+  [d7e528f0] + FreeType2_jll v2.13.2+0
+  [559328eb] + FriBidi_jll v1.0.14+0
+  [77ec8976] + GTK3_jll v3.24.31+0
+  [78b55507] + Gettext_jll v0.21.0+0
+  [7746bdde] + Glib_jll v2.80.2+0
+  [3b182d85] + Graphite2_jll v1.3.14+0
+  [2e76f6c2] + HarfBuzz_jll v2.8.1+1
+  [aacddb02] + JpegTurbo_jll v3.0.3+0
+⌅ [88015f11] + LERC_jll v3.0.0+1
+  [1d63c593] + LLVMOpenMP_jll v15.0.7+0
+  [dd4b983a] + LZO_jll v2.10.2+0
+  [42c93a91] + Libepoxy_jll v1.5.10+0
+⌅ [e9f186c6] + Libffi_jll v3.2.2+1
+  [d4300ac3] + Libgcrypt_jll v1.8.11+0
+  [7e76a0d4] + Libglvnd_jll v1.6.0+0
+  [7add5ba3] + Libgpg_error_jll v1.49.0+0
+  [94ce4f54] + Libiconv_jll v1.17.0+0
+  [4b2f31a3] + Libmount_jll v2.40.1+0
+  [925c91fb] + Librsvg_jll v2.54.5+0
+  [89763e89] + Libtiff_jll v4.6.0+0
+  [38a345b3] + Libuuid_jll v2.40.1+0
+  [36c8627f] + Pango_jll v1.52.2+0
+  [30392449] + Pixman_jll v0.43.4+0
+  [a2964d1f] + Wayland_jll v1.21.0+1
+  [2381bf8a] + Wayland_protocols_jll v1.31.0+0
+  [02c8fc9c] + XML2_jll v2.13.1+0
+  [aed1982a] + XSLT_jll v1.1.41+0
+  [ffd25f8a] + XZ_jll v5.4.6+0
+  [4f6342f7] + Xorg_libX11_jll v1.8.6+0
+  [0c0b7dd1] + Xorg_libXau_jll v1.0.11+0
+  [3c9796d7] + Xorg_libXcomposite_jll v0.4.5+4
+  [935fb764] + Xorg_libXcursor_jll v1.2.0+4
+  [0aeada51] + Xorg_libXdamage_jll v1.1.5+4
+  [a3789734] + Xorg_libXdmcp_jll v1.1.4+0
+  [1082639a] + Xorg_libXext_jll v1.3.6+0
+  [d091e8ba] + Xorg_libXfixes_jll v5.0.3+4
+  [a51aa0fd] + Xorg_libXi_jll v1.7.10+4
+  [d1454406] + Xorg_libXinerama_jll v1.1.4+4
+  [ec84b674] + Xorg_libXrandr_jll v1.5.2+4
+  [ea2f1a96] + Xorg_libXrender_jll v0.9.11+0
+  [b6f176f1] + Xorg_libXtst_jll v1.2.3+4
+  [14d82f49] + Xorg_libpthread_stubs_jll v0.1.1+0
+  [c7cfdc94] + Xorg_libxcb_jll v1.17.0+0
+  [cc61e674] + Xorg_libxkbfile_jll v1.1.2+0
+  [35661453] + Xorg_xkbcomp_jll v1.4.6+0
+  [33bec58e] + Xorg_xkeyboard_config_jll v2.39.0+0
+  [c5fb5394] + Xorg_xtrans_jll v1.5.0+0
+  [3161d3a3] + Zstd_jll v1.5.6+0
+⌅ [b437f822] + adwaita_icon_theme_jll v3.33.93+0
+  [de012916] + at_spi2_atk_jll v2.34.1+4
+  [0fc3237b] + at_spi2_core_jll v2.34.0+4
+  [da03df04] + gdk_pixbuf_jll v2.42.10+0
+  [059c91fe] + hicolor_icon_theme_jll v0.17.0+3
+  [bf975903] + iso_codes_jll v4.15.1+0
+  [b53b4c65] + libpng_jll v1.6.43+1
+  [d8fb68d0] + xkbcommon_jll v1.4.1+1
+  [0dad84c5] + ArgTools v1.1.1
+  [56f22d72] + Artifacts
+  [2a0f44e3] + Base64
+  [8ba89e20] + Distributed
+  [f43a241f] + Downloads v1.6.0
+  [7b1f6079] + FileWatching
+  [b77e0a4c] + InteractiveUtils
+  [b27032c2] + LibCURL v0.6.4
+  [76f85450] + LibGit2
+  [8f399da3] + Libdl
+  [37e2e46d] + LinearAlgebra
+  [56ddb016] + Logging
+  [d6f4376e] + Markdown
+  [ca575930] + NetworkOptions v1.2.0
+  [44cfe95a] + Pkg v1.10.0
+  [9abbd945] + Profile
+  [3fa0cd96] + REPL
+  [9a3f8284] + Random
+  [ea8e919c] + SHA v0.7.0
+  [9e88b42a] + Serialization
+  [6462fe0b] + Sockets
+  [2f01184e] + SparseArrays v1.10.0
+  [10745b16] + Statistics v1.10.0
+  [a4e569a6] + Tar v1.10.0
+  [8dfed614] + Test
+  [cf7118a7] + UUIDs
+  [e66e0078] + CompilerSupportLibraries_jll v1.1.1+0
+  [deac9b47] + LibCURL_jll v8.4.0+0
+  [e37daf67] + LibGit2_jll v1.6.4+0
+  [29816b5a] + LibSSH2_jll v1.11.0+1
+  [c8ffd9c3] + MbedTLS_jll v2.28.2+1
+  [14a3606d] + MozillaCACerts_jll v2023.1.10
+  [4536629a] + OpenBLAS_jll v0.3.23+4
+  [05823500] + OpenLibm_jll v0.8.1+2
+  [efcefdf7] + PCRE2_jll v10.42.0+1
+  [bea87d4a] + SuiteSparse_jll v7.2.1+1
+  [83775a58] + Zlib_jll v1.2.13+1
+  [8e850b90] + libblastrampoline_jll v5.8.0+1
+  [8e850ede] + nghttp2_jll v1.52.0+1
+  [3f19e933] + p7zip_jll v17.4.0+2
+        Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated -m`
+Precompiling project...
+  ✓ RoundingIntegers
+  ✓ Scratch
+  ✓ Observables
+  ✓ SnoopCompileCore
+  ✓ IntervalSets
+  ✓ Blackjack
+  ✓ NaNMath
+  ✓ iso_codes_jll
+  ✓ JpegTurbo_jll
+  ✓ XZ_jll
+  ✓ Xorg_libXau_jll
+  ✓ Xorg_xtrans_jll
+  ✓ Xorg_libXdmcp_jll
+  ✓ Graphite2_jll
+  ✓ Zstd_jll
+  ✓ libpng_jll
+  ✓ Libmount_jll
+  ✓ EpollShim_jll
+  ✓ LLVMOpenMP_jll
+  ✓ Libffi_jll
+  ✓ Bzip2_jll
+  ✓ Wayland_protocols_jll
+  ✓ Libgpg_error_jll
+  ✓ LZO_jll
+  ✓ hicolor_icon_theme_jll
+  ✓ Xorg_libpthread_stubs_jll
+  ✓ LERC_jll
+  ✓ FriBidi_jll
+  ✓ IntervalSets → IntervalSetsRandomExt
+  ✓ Libuuid_jll
+  ✓ XML2_jll
+  ✓ Dbus_jll
+  ✓ Pixman_jll
+  ✓ FreeType2_jll
+  ✓ Libgcrypt_jll
+  ✓ Graphics
+  ✓ adwaita_icon_theme_jll
+  ✓ Gettext_jll
+  ✓ Libtiff_jll
+  ✓ IntervalSets → IntervalSetsStatisticsExt
+  ✓ Wayland_jll
+  ✓ XSLT_jll
+  ✓ Fontconfig_jll
+  ✓ Glib_jll
+  ✓ ATK_jll
+  ✓ Xorg_libxcb_jll
+  ✓ Xorg_libX11_jll
+  ✓ LoweredCodeUtils
+  ✓ Xorg_libxkbfile_jll
+  ✓ Xorg_libXfixes_jll
+  ✓ Xorg_libXext_jll
+  ✓ Xorg_libXrender_jll
+  ✓ gdk_pixbuf_jll
+  ✓ Xorg_libXcomposite_jll
+  ✓ Xorg_xkbcomp_jll
+  ✓ Xorg_libXdamage_jll
+  ✓ Xorg_libXinerama_jll
+  ✓ Libglvnd_jll
+  ✓ Xorg_libXi_jll
+  ✓ Cairo_jll
+  ✓ Xorg_xkeyboard_config_jll
+  ✓ Xorg_libXrandr_jll
+  ✓ Xorg_libXcursor_jll
+  ✓ Libepoxy_jll
+  ✓ Xorg_libXtst_jll
+  ✓ HarfBuzz_jll
+  ✓ xkbcommon_jll
+  ✓ at_spi2_core_jll
+  ✓ Pango_jll
+  ✓ at_spi2_atk_jll
+  ✓ Librsvg_jll
+  ✓ GTK3_jll
+  ✓ Cairo
+  ✓ Revise
+  ✓ Gtk
+  ✗ GtkObservables
+  ✗ ProfileView
+  ✓ JET
+  ✓ SnoopCompile
+  ✓ BlackjackFacecards
+  78 dependencies successfully precompiled in 78 seconds. 37 already precompiled.
+  4 dependencies precompiled but different versions are currently loaded. Restart julia to access the new versions
+
+The following 1 direct dependency failed to precompile:
+
+ProfileView [c46f51b8-102a-5cf2-8d2c-8597cb0e0da7]
+
+Failed to precompile ProfileView [c46f51b8-102a-5cf2-8d2c-8597cb0e0da7] to "/home/runner/.julia/compiled/v1.10/ProfileView/jl_2xSHuY".
+ERROR: LoadError: InitError: Cannot open display: 
+Stacktrace:
+  [1] error(s::String)
+    @ Base ./error.jl:35
+  [2] Gtk.GLib.GError(f::Gtk.var"#325#331")
+    @ Gtk.GLib ~/.julia/packages/Gtk/oo3cW/src/GLib/gerror.jl:17
+  [3] __init__()
+    @ Gtk ~/.julia/packages/Gtk/oo3cW/src/Gtk.jl:142
+  [4] run_module_init(mod::Module, i::Int64)
+    @ Base ./loading.jl:1134
+  [5] register_restored_modules(sv::Core.SimpleVector, pkg::Base.PkgId, path::String)
+    @ Base ./loading.jl:1122
+  [6] _include_from_serialized(pkg::Base.PkgId, path::String, ocachepath::String, depmods::Vector{Any})
+    @ Base ./loading.jl:1067
+  [7] _require_search_from_serialized(pkg::Base.PkgId, sourcepath::String, build_id::UInt128)
+    @ Base ./loading.jl:1581
+  [8] _require(pkg::Base.PkgId, env::String)
+    @ Base ./loading.jl:1938
+  [9] __require_prelocked(uuidkey::Base.PkgId, env::String)
+    @ Base ./loading.jl:1812
+ [10] #invoke_in_world#3
+    @ ./essentials.jl:926 [inlined]
+ [11] invoke_in_world
+    @ ./essentials.jl:923 [inlined]
+ [12] _require_prelocked(uuidkey::Base.PkgId, env::String)
+    @ Base ./loading.jl:1803
+ [13] macro expansion
+    @ ./loading.jl:1790 [inlined]
+ [14] macro expansion
+    @ ./lock.jl:267 [inlined]
+ [15] __require(into::Module, mod::Symbol)
+    @ Base ./loading.jl:1753
+ [16] #invoke_in_world#3
+    @ ./essentials.jl:926 [inlined]
+ [17] invoke_in_world
+    @ ./essentials.jl:923 [inlined]
+ [18] require(into::Module, mod::Symbol)
+    @ Base ./loading.jl:1746
+ [19] include
+    @ ./Base.jl:495 [inlined]
+ [20] include_package_for_output(pkg::Base.PkgId, input::String, depot_path::Vector{String}, dl_load_path::Vector{String}, load_path::Vector{String}, concrete_deps::Vector{Pair{Base.PkgId, UInt128}}, source::Nothing)
+    @ Base ./loading.jl:2222
+ [21] top-level scope
+    @ stdin:3
+during initialization of module Gtk
+in expression starting at /home/runner/.julia/packages/ProfileView/IzPaD/src/ProfileView.jl:1
+in expression starting at stdin:

Setting up the demo

To see @snoop_inference in action, we'll use the following demo:

module FlattenDemo
+    struct MyType{T} x::T end
+
+    extract(y::MyType) = y.x
+
+    function domath(x)
+        y = x + x
+        return y*x + 2*x + 5
+    end
+
+    dostuff(y) = domath(extract(y))
+
+    function packintype(x)
+        y = MyType{Int}(x)
+        return dostuff(y)
+    end
+end
+
+# output
+
+FlattenDemo

The main call, packintype, stores the input in a struct, and then calls functions that extract the field value and performs arithmetic on the result.

Collecting the data

To profile inference on this call, do the following:

julia> using SnoopCompileCore
+
+julia> tinf = @snoop_inference FlattenDemo.packintype(1);
+
+julia> using SnoopCompile
+
+julia> tinf
+InferenceTimingNode: 0.002712/0.003278 on Core.Compiler.Timings.ROOT() with 1 direct children
Tip

Don't omit the semicolon on the tinf = @snoop_inference ... line, or you may get an enormous amount of output. The compact display on the final line is possible only because SnoopCompile defines nice Base.show methods for the data returned by @snoop_inference. These methods cannot be defined in SnoopCompileCore because it has a fundamental design constraint: loading SnoopCompileCore is not allowed to invalidate any code. Moving those Base.show methods to SnoopCompileCore would violate that guarantee.

This may not look like much, but there's a wealth of information hidden inside tinf.

A quick check for potential invalidations

After running @snoop_inference, it's generally recommended to check the output of staleinstances:

julia> staleinstances(tinf)
+SnoopCompileCore.InferenceTiming[]

If you see this, all's well. A non-empty list might indicate method invalidations, which can be checked (in a fresh session) using the tools described in Tutorial on @snoop_invalidations.

If you do have a lot of invalidations, precompile_blockers may be an effective way to reveal those invalidations that affect your particular package and workload.

Viewing the results

Let's start unpacking the output of @snoop_inference and see how to get more insight. First, notice that the output is an InferenceTimingNode: it's the root element of a tree of such nodes, all connected by caller-callee relationships. Indeed, this particular node is for Core.Compiler.Timings.ROOT(), a "dummy" node that is the root of all such trees.

You may have noticed that this ROOT node prints with two numbers. It will be easier to understand their meaning if we first display the whole tree. We can do that with the AbstractTrees package:

julia> using AbstractTrees
+
+julia> print_tree(tinf)
+InferenceTimingNode: 0.002712/0.003278 on Core.Compiler.Timings.ROOT() with 1 direct children
+└─ InferenceTimingNode: 0.000133/0.000566 on FlattenDemo.packintype(::Int64) with 2 direct children
+   ├─ InferenceTimingNode: 0.000094/0.000094 on FlattenDemo.MyType{Int64}(::Int64) with 0 direct children
+   └─ InferenceTimingNode: 0.000089/0.000339 on FlattenDemo.dostuff(::FlattenDemo.MyType{Int64}) with 2 direct children
+      ├─ InferenceTimingNode: 0.000064/0.000122 on FlattenDemo.extract(::FlattenDemo.MyType{Int64}) with 2 direct children
+      │  ├─ InferenceTimingNode: 0.000034/0.000034 on getproperty(::FlattenDemo.MyType{Int64}, ::Symbol) with 0 direct children
+      │  └─ InferenceTimingNode: 0.000024/0.000024 on getproperty(::FlattenDemo.MyType{Int64}, x::Symbol) with 0 direct children
+      └─ InferenceTimingNode: 0.000127/0.000127 on FlattenDemo.domath(::Int64) with 0 direct children

This tree structure reveals the caller-callee relationships, showing the specific types that were used for each MethodInstance. Indeed, as the calls to getproperty reveal, it goes beyond the types and even shows the results of constant propagation; the getproperty(::MyType{Int64}, x::Symbol) corresponds to y.x in the definition of extract.

Note

Generally we speak of call graphs rather than call trees. But because inference results are cached (a.k.a., we only "visit" each node once), we obtain a tree as a depth-first-search of the full call graph.

You can extract the MethodInstance with

julia> Core.MethodInstance(tinf)
+MethodInstance for Core.Compiler.Timings.ROOT()
+
+julia> Core.MethodInstance(tinf.children[1])
+MethodInstance for FlattenDemo.packintype(::Int64)

Each node in this tree is accompanied by a pair of numbers. The first number is the exclusive inference time (in seconds), meaning the time spent inferring the particular MethodInstance, not including the time spent inferring its callees. The second number is the inclusive time, which is the exclusive time plus the time spent on the callees. Therefore, the inclusive time is always at least as large as the exclusive time.

The ROOT node is a bit different: its exclusive time measures the time spent on all operations except inference. In this case, we see that the entire call took approximately 10ms, of which 9.3ms was spent on activities besides inference. Almost all of that was code-generation, but it also includes the time needed to run the code. Just 0.76ms was needed to run type-inference on this entire series of calls. As you will quickly discover, inference takes much more time on more complicated code.

We can also display this tree as a flame graph, using the ProfileView.jl package:

julia> fg = flamegraph(tinf)
+Node(FlameGraphs.NodeData(ROOT() at typeinfer.jl:75, 0x00, 0:10080857))
julia> using ProfileView
+
+julia> ProfileView.view(fg)

You should see something like this:

flamegraph

Users are encouraged to read the ProfileView documentation to understand how to interpret this, but briefly:

  • the horizontal axis is time (wide boxes take longer than narrow ones), the vertical axis is call depth
  • hovering over a box displays the method that was inferred
  • left-clicking on a box causes the full MethodInstance to be printed in your REPL session
  • right-clicking on a box opens the corresponding method in your editor
  • ctrl-click can be used to zoom in
  • empty horizontal spaces correspond to activities other than type-inference
  • any boxes colored red (there are none in this particular example, but you'll see some later) correspond to non-precompilable MethodInstances, in which the method is owned by one module but the types are from another unrelated module.
  • any boxes colored orange-yellow (there is one in this demo) correspond to methods inferred for specific constants (constant propagation)

You can explore this flamegraph and compare it to the output from print_tree.

Finally, flatten, on its own or together with accumulate_by_source, allows you to get an sense for the cost of individual MethodInstances or Methods.

The tools here allow you to get an overview of where inference is spending its time. This gives you insight into the major contributors to latency.

diff --git a/previews/PR389/tutorials/snoop_inference_analysis/index.html b/previews/PR389/tutorials/snoop_inference_analysis/index.html new file mode 100644 index 000000000..6c470d952 --- /dev/null +++ b/previews/PR389/tutorials/snoop_inference_analysis/index.html @@ -0,0 +1,309 @@ + +Using @snoop_inference results to improve inferrability · SnoopCompile
GitHub

Using @snoop_inference results to improve inferrability

Throughout this page, we'll use the OptimizeMe demo, which ships with SnoopCompile.

Note

To understand what follows, it's essential to refer to OptimizeMe source code as you follow along.

julia> using SnoopCompile
+
+julia> cd(joinpath(pkgdir(SnoopCompile), "examples"))
+
+julia> include("OptimizeMe.jl")
+Main.OptimizeMe
+
+julia> tinf = @snoop_inference OptimizeMe.main()
+lotsa containers:
+7-element Vector{Main.OptimizeMe.Container}:
+ Main.OptimizeMe.Container{Int64}(1)
+ Main.OptimizeMe.Container{UInt8}(0x01)
+ Main.OptimizeMe.Container{UInt16}(0xffff)
+ Main.OptimizeMe.Container{Float32}(2.0f0)
+ Main.OptimizeMe.Container{Char}('a')
+ Main.OptimizeMe.Container{Vector{Int64}}([0])
+ Main.OptimizeMe.Container{Tuple{String, Int64}}(("key", 42))
+3.14 is great
+2.718 is jealous
+6-element Vector{Main.OptimizeMe.Object}:
+ Main.OptimizeMe.Object(1)
+ Main.OptimizeMe.Object(2)
+ Main.OptimizeMe.Object(3)
+ Main.OptimizeMe.Object(4)
+ Main.OptimizeMe.Object(5)
+ Main.OptimizeMe.Object(7)
+InferenceTimingNode: 1.423913/2.713560 on InferenceFrameInfo for Core.Compiler.Timings.ROOT() with 77 direct children
+
+julia> fg = flamegraph(tinf)
+Node(FlameGraphs.NodeData(ROOT() at typeinfer.jl:75, 0x00, 0:2713559552))

If you visualize fg with ProfileView, you'll see something like this:

flamegraph-OptimizeMe

From the standpoint of precompilation, this has some obvious problems:

  • even though we called a single method, OptimizeMe.main(), there are many distinct flames separated by blank spaces. This indicates that many calls are being made by runtime dispatch: each separate flame is a fresh entrance into inference.
  • several of the flames are marked in red, indicating that they are not precompilable. While SnoopCompile does have the capability to automatically emit precompile directives for the non-red bars that sit on top of the red ones, in some cases the red extends to the highest part of the flame. In such cases there is no available precompile directive, and therefore no way to avoid the cost of type-inference.

Our goal will be to improve the design of OptimizeMe to make it more precompilable.

Analyzing inference triggers

We'll first extract the "triggers" of inference, which is just a repackaging of part of the information contained within tinf. Specifically an InferenceTrigger captures callee/caller relationships that straddle a fresh entrance to type-inference, allowing you to identify which calls were made by runtime dispatch and what MethodInstance they called.

julia> itrigs = inference_triggers(tinf)
+76-element Vector{InferenceTrigger}:
+ Inference triggered to call MethodInstance for vect(::Int64, ::Vararg{Any, N} where N) from lotsa_containers (/pathto/SnoopCompile/examples/OptimizeMe.jl:13) with specialization MethodInstance for lotsa_containers()
+ Inference triggered to call MethodInstance for promote_typeof(::Int64, ::UInt8, ::Vararg{Any, N} where N) from vect (./array.jl:126) with specialization MethodInstance for vect(::Int64, ::Vararg{Any, N} where N)
+ Inference triggered to call MethodInstance for promote_typeof(::UInt8, ::UInt16, ::Vararg{Any, N} where N) from promote_typeof (./promotion.jl:272) with specialization MethodInstance for promote_typeof(::Int64, ::UInt8, ::Vararg{Any, N} where N)
+ ⋮

This indicates that a whopping 76 calls were (1) made by runtime dispatch and (2) the callee had not previously been inferred. (There was a 77th call that had to be inferred, the original call to main(), but by default inference_triggers excludes calls made directly from top-level. You can change that through keyword arguments.)

Tip

In the REPL, SnoopCompile displays InferenceTriggers with yellow coloration for the callee, red for the caller method, and blue for the caller specialization. This makes it easier to quickly identify the most important information.

In some cases, this might indicate that you'll need to fix 76 separate callers; fortunately, in many cases fixing the origin of inference problems can fix a number of later callees.

Method triggers

Most often, it's most convenient to organize them by the method triggering the need for inference:

julia> mtrigs = accumulate_by_source(Method, itrigs)
+18-element Vector{SnoopCompile.TaggedTriggers{Method}}:
+ print_matrix_row(io::IO, X::AbstractVecOrMat{T} where T, A::Vector{T} where T, i::Integer, cols::AbstractVector{T} where T, sep::AbstractString) in Base at arrayshow.jl:96 (1 callees from 1 callers)
+ show(io::IO, x::T, forceuntyped::Bool, fromprint::Bool) where T<:Union{Float16, Float32, Float64} in Base.Ryu at ryu/Ryu.jl:111 (1 callees from 1 callers)
+ Pair(a, b) in Base at pair.jl:15 (1 callees from 1 callers)
+ vect(X...) in Base at array.jl:125 (1 callees from 1 callers)
+ makeobjects() in Main.OptimizeMe at /pathto/SnoopCompile/examples/OptimizeMe.jl:36 (1 callees from 1 callers)
+ show_delim_array(io::IO, itr, op, delim, cl, delim_one, i1, n) in Base at show.jl:1058 (1 callees from 1 callers)
+ typeinfo_prefix(io::IO, X) in Base at arrayshow.jl:515 (2 callees from 1 callers)
+ (::REPL.var"#38#39")(io) in REPL at /home/tim/src/julia-master/usr/share/julia/stdlib/v1.6/REPL/src/REPL.jl:214 (2 callees from 1 callers)
+ _cat_t(dims, ::Type{T}, X...) where T in Base at abstractarray.jl:1633 (2 callees from 1 callers)
+ contain_list(list) in Main.OptimizeMe at /pathto/SnoopCompile/examples/OptimizeMe.jl:27 (4 callees from 1 callers)
+ promote_typeof(x, xs...) in Base at promotion.jl:272 (4 callees from 4 callers)
+ combine_eltypes(f, args::Tuple) in Base.Broadcast at broadcast.jl:740 (5 callees from 1 callers)
+ lotsa_containers() in Main.OptimizeMe at /pathto/SnoopCompile/examples/OptimizeMe.jl:12 (7 callees from 1 callers)
+ alignment(io::IO, x) in Base at show.jl:2528 (7 callees from 7 callers)
+ var"#sprint#386"(context, sizehint::Integer, ::typeof(sprint), f::Function, args...) in Base at strings/io.jl:100 (8 callees from 2 callers)
+ alignment(io::IO, X::AbstractVecOrMat{T} where T, rows::AbstractVector{T} where T, cols::AbstractVector{T} where T, cols_if_complete::Integer, cols_otherwise::Integer, sep::Integer) in Base at arrayshow.jl:60 (8 callees from 2 callers)
+ copyto_nonleaf!(dest, bc::Base.Broadcast.Broadcasted, iter, state, count) in Base.Broadcast at broadcast.jl:1070 (9 callees from 3 callers)
+ _show_default(io::IO, x) in Base at show.jl:397 (12 callees from 1 callers)

The methods triggering the largest number of inference runs are shown at the bottom. You can select methods from a particular module:

julia> modtrigs = filtermod(OptimizeMe, mtrigs)
+3-element Vector{SnoopCompile.TaggedTriggers{Method}}:
+ makeobjects() in Main.OptimizeMe at /home/tim/.julia/dev/SnoopCompile/examples/OptimizeMe.jl:36 (1 callees from 1 callers)
+ contain_list(list) in Main.OptimizeMe at /home/tim/.julia/dev/SnoopCompile/examples/OptimizeMe.jl:27 (4 callees from 1 callers)
+ lotsa_containers() in Main.OptimizeMe at /home/tim/.julia/dev/SnoopCompile/examples/OptimizeMe.jl:12 (7 callees from 1 callers)

Rather than filter by a single module, you can alternatively call SnoopCompile.parcel(mtrigs) to split them out by module. In this case, most of the triggers came from Base, not OptimizeMe. However, many of the failures in Base were nevertheless indirectly due to OptimizeMe: our methods in OptimizeMe call Base methods with arguments that trigger internal inference failures. Fortunately, we'll see that using more careful design in OptimizeMe can avoid many of those problems.

Tip

If you have a longer list of inference triggers than you feel comfortable tackling, filtering by your package's module is probably the best way to start. Fixing issues in the package itself can end up resolving many of the "indirect" triggers too. Also be sure to note the ability to filter out likely "noise" from test suites.

If you're hoping to fix inference problems, one of the most efficient things you can do is call summary:

julia> mtrig = modtrigs[1]
+makeobjects() in Main.OptimizeMe at /home/tim/.julia/dev/SnoopCompile/examples/OptimizeMe.jl:36 (1 callees from 1 callers)
+
+julia> summary(mtrig)
+makeobjects() in Main.OptimizeMe at /home/tim/.julia/dev/SnoopCompile/examples/OptimizeMe.jl:36 had 1 specializations
+Triggering calls:
+Inlined _cat at ./abstractarray.jl:1630: calling cat_t##kw (1 instances)

Sometimes from these hints alone you can figure out how to fix the problem. (Inlined _cat means that the inference trigger did not come directly from a source line of makeobjects but from a call, _cat, that got inlined into the compiled version. Below we'll see more concretely how to interpret this hint.)

You can also say edit(mtrig) and be taken directly to the method you're analyzing in your editor. Finally, you can recover the individual triggers:

julia> mtrig.itrigs[1]
+Inference triggered to call MethodInstance for (::Base.var"#cat_t##kw")(::NamedTuple{(:dims,), Tuple{Val{1}}}, ::typeof(Base.cat_t), ::Type{Int64}, ::UnitRange{Int64}, ::Vararg{Any, N} where N) from _cat (./abstractarray.jl:1630) inlined into MethodInstance for makeobjects() (/home/tim/.julia/dev/SnoopCompile/examples/OptimizeMe.jl:37)

This is useful if you want to analyze a method via Cthulhu.ascend. Method-based triggers, which may aggregate many different individual triggers, are particularly useful mostly because tools like Cthulhu.jl show you the inference results for the entire MethodInstance, allowing you to fix many different inference problems at once.

Trigger trees

While method triggers are probably the most useful way of organizing these inference triggers, for learning purposes here we'll use a more detailed scheme, which organizes inference triggers in a tree:

julia> itree = trigger_tree(itrigs)
+TriggerNode for root with 14 direct children
+
+julia> using AbstractTrees
+
+julia> print_tree(itree)
+root
+├─ MethodInstance for vect(::Int64, ::Vararg{Any, N} where N)
+│  └─ MethodInstance for promote_typeof(::Int64, ::UInt8, ::Vararg{Any, N} where N)
+│     └─ MethodInstance for promote_typeof(::UInt8, ::UInt16, ::Vararg{Any, N} where N)
+│        └─ MethodInstance for promote_typeof(::UInt16, ::Float32, ::Vararg{Any, N} where N)
+│           └─ MethodInstance for promote_typeof(::Float32, ::Char, ::Vararg{Any, N} where N)
+│              ⋮
+│
+├─ MethodInstance for combine_eltypes(::Type, ::Tuple{Vector{Any}})
+│  ├─ MethodInstance for return_type(::Any, ::Any)
+│  ├─ MethodInstance for return_type(::Any, ::Any, ::UInt64)
+│  ├─ MethodInstance for return_type(::Core.Compiler.NativeInterpreter, ::Any, ::Any)
+│  ├─ MethodInstance for contains_is(::Core.SimpleVector, ::Any)
+│  └─ MethodInstance for promote_typejoin_union(::Type{Main.OptimizeMe.Container})
+├─ MethodInstance for Main.OptimizeMe.Container(::Int64)
+⋮

The parent-child relationships are based on the backtraces at the entrance to inference, and the nodes are organized in the order in which inference occurred.

We're going to march through these systematically. Let's start with the first of these.

suggest and a fix involving manual eltype specification

Because the analysis of inference failures is somewhat complex, SnoopCompile attempts to suggest an interpretation and/or remedy for each trigger:

julia> suggest(itree.children[1])
+/pathto/SnoopCompile/examples/OptimizeMe.jl:13: invoked callee is varargs (ignore this one, homogenize the arguments, declare an umbrella type, or force-specialize the callee MethodInstance for vect(::Int64, ::Vararg{Any, N} where N))
+immediate caller(s):
+1-element Vector{Base.StackTraces.StackFrame}:
+ main() at OptimizeMe.jl:42
+└─ ./array.jl:126: caller is varargs (ignore this one, specialize the caller vect(::Int64, ::Vararg{Any, N} where N) at array.jl:126, or improve inferrability of its caller)
+   immediate caller(s):
+   1-element Vector{Base.StackTraces.StackFrame}:
+    lotsa_containers() at OptimizeMe.jl:13
+   └─ ./promotion.jl:272: caller is varargs (ignore this one, specialize the caller promote_typeof(::Int64, ::UInt8, ::Vararg{Any, N} where N) at promotion.jl:272, or improve inferrability of its caller)
+      immediate caller(s):
+      1-element Vector{Base.StackTraces.StackFrame}:
+       vect(::Int64, ::Vararg{Any, N} where N) at array.jl:126
+      └─ ./promotion.jl:272: caller is varargs (ignore this one, specialize the caller promote_typeof(::UInt8, ::UInt16, ::Vararg{Any, N} where N) at promotion.jl:272, or improve inferrability of its caller)
+         immediate caller(s):
+         1-element Vector{Base.StackTraces.StackFrame}:
+          promote_typeof(::Int64, ::UInt8, ::Vararg{Any, N} where N) at promotion.jl:272
+         └─ ./promotion.jl:272: caller is varargs (ignore this one, specialize the caller promote_typeof(::UInt16, ::Float32, ::Vararg{Any, N} where N) at promotion.jl:272, or improve inferrability of its caller)
+            immediate caller(s):
+            1-element Vector{Base.StackTraces.StackFrame}:
+             promote_typeof(::UInt8, ::UInt16, ::Vararg{Any, N} where N) at promotion.jl:272
+            └─ ./promotion.jl:272: caller is varargs (ignore this one, specialize the caller promote_typeof(::Float32, ::Char, ::Vararg{Any, N} where N) at promotion.jl:272, or improve inferrability of its caller)
+               immediate caller(s):
+               1-element Vector{Base.StackTraces.StackFrame}:
+                promote_typeof(::UInt16, ::Float32, ::Vararg{Any, N} where N) at promotion.jl:272
+               ⋮
Tip

In the REPL, interpretations are highlighted in color to help distinguish individual suggestions.

In this case, the interpretation for the first node is "invoked callee is varargs" and suggestions are to choose one of "ignore...homogenize...umbrella type...force-specialize". Initially, this may seem pretty opaque. It helps if we look at the referenced line OptimizeMe.jl:13:

list = [1, 0x01, 0xffff, 2.0f0, 'a', [0], ("key", 42)]

You'll notice above that the callee for the first node is vect; that's what handles the creation of the vector [1, ...]. If you look back up at the itree, you can see that a lot of promote_typeof calls follow, and you can see that the types listed in the arguments match the elements in list. The problem, here, is that vect has never been inferred for this particular combination of argument types, and the fact that the types are diverse means that Julia has decided not to specialize it for this combination. (If Julia had specialized it, it would have been inferred when lotsa_containers was inferred; the fact that it is showing up as a trigger means it wasn't.)

Let's see what kind of object this line creates:

julia> typeof(list)
+Vector{Any} (alias for Array{Any, 1})

Since it creates a Vector{Any}, perhaps we should just tell Julia to create such an object directly: we modify [1, 0x01, ...] to Any[1, 0x01, ...] (note the Any in front of [), so that Julia doesn't have to deduce the container type on its own. This follows the "declare an umbrella type" suggestion.

Note

"Force-specialize" means to encourage Julia to violate its heuristics and specialize the callee. Often this can be achieved by supplying a "spurious" type parameter. Examples include replacing higherorderfunction(f::Function, args...) with function higherorderfunction(f::F, args...) where F<:Function, or function getindex(A::MyArrayType{T,N}, idxs::Vararg{Int,N}) where {T,N} instead of just getindex(A::MyArrayType, idxs::Int...). (In the latter case, the N parameter is the crucial one: it forces specialization for a particular number of Int arguments.)

This technique is not useful for the particular case we analyzed here, but it can be in other settings.

Making this simple 3-character fix eliminates that entire branch of the tree (a savings of 6 inference triggers).

eltypes and reducing specialization in broadcast

Let's move on to the next entry:

julia> print_tree(itree.children[2])
+MethodInstance for combine_eltypes(::Type, ::Tuple{Vector{Any}})
+├─ MethodInstance for return_type(::Any, ::Any)
+├─ MethodInstance for return_type(::Any, ::Any, ::UInt64)
+├─ MethodInstance for return_type(::Core.Compiler.NativeInterpreter, ::Any, ::Any)
+├─ MethodInstance for contains_is(::Core.SimpleVector, ::Any)
+└─ MethodInstance for promote_typejoin_union(::Type{Main.OptimizeMe.Container})
+
+julia> suggest(itree.children[2])
+./broadcast.jl:905: regular invoke (perhaps precompile lotsa_containers() at OptimizeMe.jl:14)
+├─ ./broadcast.jl:740: I've got nothing to say for MethodInstance for return_type(::Any, ::Any) consider `stacktrace(itrig)` or `Cthulhu.ascend(itrig)`
+├─ ./broadcast.jl:740: I've got nothing to say for MethodInstance for return_type(::Any, ::Any, ::UInt64) consider `stacktrace(itrig)` or `Cthulhu.ascend(itrig)`
+├─ ./broadcast.jl:740: I've got nothing to say for MethodInstance for return_type(::Core.Compiler.NativeInterpreter, ::Any, ::Any) consider `stacktrace(itrig)` or `Cthulhu.ascend(itrig)`
+├─ ./broadcast.jl:740: I've got nothing to say for MethodInstance for contains_is(::Core.SimpleVector, ::Any) consider `stacktrace(itrig)` or `Cthulhu.ascend(itrig)`
+└─ ./broadcast.jl:740: non-inferrable call, perhaps annotate combine_eltypes(f, args::Tuple) in Base.Broadcast at broadcast.jl:740 with type MethodInstance for promote_typejoin_union(::Type{Main.OptimizeMe.Container})
+   If a noninferrable argument is a type or function, Julia's specialization heuristics may be responsible.
+   immediate caller(s):
+   3-element Vector{Base.StackTraces.StackFrame}:
+    copy at broadcast.jl:905 [inlined]
+    materialize at broadcast.jl:883 [inlined]
+    lotsa_containers() at OptimizeMe.jl:14

While this tree is attributed to broadcast, you can see several references here to OptimizeMe.jl:14, which contains:

cs = Container.(list)

Container.(list) is a broadcasting operation, and once again we find that this has inferrability problems. In this case, the initial suggestion "perhaps precompile lotsa_containers" is not helpful. (The "regular invoke" just means that the initial call was one where inference knew all the argument types, and hence in principle might be precompilable, but from this tree we see that this broke down in some of its callees.) Several children have no interpretation ("I've got nothing to say..."). Only the last one, "non-inferrable call", is (marginally) useful, it means that a call was made with arguments whose types could not be inferred.

Warning

You should always view these suggestions skeptically. Often, they flag downstream issues that are better addressed at the source; frequently the best fix may be at a line a bit before the one identified in a trigger, or even in a dependent callee of a line prior to the flagged one. This is a product of the fact that returning a non-inferrable argument is not the thing that forces a new round of inference; it's doing something (making a specialization-worthy call) with the object of non-inferrable type that triggers a fresh entrance into inference.

How might we go about fixing this? One hint is to notice that itree.children[3] through itree.children[7] also ultimiately derive from this one line of OptimizeMe, but from a later line within broadcast.jl which explains why they are not bundled together with itree.children[2]. May of these correspond to creating different Container types, for example:

└─ MethodInstance for restart_copyto_nonleaf!(::Vector{Main.OptimizeMe.Container}, ::Vector{Main.OptimizeMe.Container{Int64}}, ::Base.Broadcast.Broadcasted{Base.Broadcast.DefaultArrayStyle{1}, Tuple{Base.OneTo{Int64}}, Type{Main.OptimizeMe.Container}, Tuple{Base.Broadcast.Extruded{Vector{Any}, Tuple{Bool}, Tuple{Int64}}}}, ::Main.OptimizeMe.Container{UInt8}, ::Int64, ::Base.OneTo{Int64}, ::Int64, ::Int64)
+   ├─ MethodInstance for Main.OptimizeMe.Container(::UInt16)
+   ├─ MethodInstance for Main.OptimizeMe.Container(::Float32)
+   ├─ MethodInstance for Main.OptimizeMe.Container(::Char)
+   ├─ MethodInstance for Main.OptimizeMe.Container(::Vector{Int64})
+   └─ MethodInstance for Main.OptimizeMe.Container(::Tuple{String, Int64})

We've created a Container{T} for each specific T of the objects in list. In some cases, there may be good reasons for such specialization, and in such cases we just have to live with these inference failures. However, in other cases the specialization might be detrimental to compile-time and/or runtime performance. In such cases, we might decide to create them all as Container{Any}:

cs = Container{Any}.(list)

This 5-character change ends up eliminating 45 of our original 76 triggers. Not only did we eliminate the triggers from broadcasting, but we limited the number of different show(::IO, ::Container{T})-MethodInstances we need from later calls in main.

When the Container constructor does more complex operations, in some cases you may find that Container{Any}(args...) still gets specialized for different types of args.... In such cases, you can create a special constructor that instructs Julia to avoid specialization in specific instances, e.g.,

struct Container{T}
+    field1::T
+    morefields...
+
+    # This constructor permits specialization on `args`
+    Container{T}(args...) where {T} = new{T}(args...)
+
+    # For Container{Any}, we prevent specialization
+    Container{Any}(@nospecialize(args...)) = new{Any}(args...)
+end

If you're following along, the best option is to make these fixes and go back to the beginning, re-collecting tinf and processing the triggers. We're down to 32 inference triggers.

Adding type-assertions

If you've made the fixes above, the first child of itree is one for show(::IOContext{Base.TTY}, ::MIME{Symbol("text/plain")}, ::Vector{Main.OptimizeMe.Container{Any}}); we'll skip that one for now, because it's a bit more sophisticated. Right below it, we see

├─ MethodInstance for combine_eltypes(::Type, ::Tuple{Vector{Any}})
+│  ├─ MethodInstance for return_type(::Any, ::Any)
+│  ├─ MethodInstance for return_type(::Any, ::Any, ::UInt64)

and related nodes for similar, copyto_nonleaf!, etc., just as we saw above, so this looks like another case of broadcasting failure. In this case, suggest quickly indicates that it's the broadcasting in

function contain_list(list)
+    cs = Container.(list)
+    return concat_string(cs...)
+end

Now we know the problem: main creates list = [2.718, "is jealous"], a vector with different object types, and this leads to inference failures in broadcasting. But wait, you might notice, contain_concrete gets called before contain_list, why doesn't it have a problem? The reason is that contain_concrete and its callee, concat_string, provide opportunities for inference to handle each object in a separate argument; the problems arise from bundling objects of different types into the same container.

There are several ways we could go about fixig this example:

  • we could delete contain_list altogether and use contain_concrete for everything.
  • we could try creating list as a tuple rather than a Vector{Any}; (small) tuples sometimes allow inference to succeed even when each element has a different type. This is as simple as changing list = [2.718, "is jealous"] to list = (2.718, "is jealous"), but whether it works to solve all your inference problems depends on the particular case.
  • we could use external knowledge to annotate the types of the items in list::Vector{Any}.

Here we'll illustrate the last of these, since it's the only one that's nontrivial. (It's also often a useful pattern in many real-world contexts, such as cases where you have a Dict{String,Any} but know something about the kinds of value-types associated with particular string keys.) We could rewrite contain_list so it looks like this:

function contain_list(list)
+    length(list) == 2 || throw(DimensionMismatch("list must have length 2"))
+    item1 = list[1]::Float64
+    item2 = list[2]::String
+    return contain_concrete(item1, item2)     # or we could repeat the body of contain_concrete
+end

The type-assertions tell inference that the corresponding items have the given types, and assist inference in cases where it has no mechanism to deduce the answer on its own. Julia will throw an error if the type-assertion fails. In some cases, a more forgiving option might be

item1 = convert(Float64, list[1])::Float64

which will attempt to convert list[1] to a Float64, and therefore handle a wider range of number types stored in the first element of list. Believe it or not, both the convert() and the ::Float64 type-assertion are necessary: since list[1] is of type Any, Julia will not be able to deduce which convert method will be used to perform the conversion, and it's always possible that someone has written a sloppy convert that doesn't return a value of the requested type. Without that final ::Float64, inference cannot simply assume that the result is a Float64. The type-assert ::Float64 enforces the fact that you're expecting that convert call to actually return a Float64–it will error if it fails to do so, and it's this error that allows inference to be certain that for the purposes of any later code it must be a Float64.

Of course, this just trades one form of inference failure for another–the call to convert will be made by runtime dispatch–but this can nevertheless be a big win for two reasons:

  • even though the convert call will be made by runtime dispatch, in this particular case convert(Float64, ::Float64) is already compiled in Julia itself. Consequently it doesn't require a fresh run of inference.
  • even in cases where the types are such that convert might need to be inferred & compiled, the type-assertion allows Julia to assume that item1 is henceforth a Float64. This makes it possible for inference to succeed for any code that follows. When that's a large amount of code, the savings can be considerable.

Let's make that fix and also annotate the container type from main, list = Any[2.718, "is jealous"]. Just to see how we're progressing, we start a fresh session and discover we're down to 20 triggers with just three direct branches.

Vararg homogenization

We'll again skip over the show branches (they are two of the remaining three), and focus on this one:

julia> node = itree.children[2]
+TriggerNode for MethodInstance for (::Base.var"#cat_t##kw")(::NamedTuple{(:dims,), Tuple{Val{1}}}, ::typeof(Base.cat_t), ::Type{Int64}, ::UnitRange{Int64}, ::Vararg{Any, N} where N) with 2 direct children
+
+julia> print_tree(node)
+MethodInstance for (::Base.var"#cat_t##kw")(::NamedTuple{(:dims,), Tuple{Val{1}}}, ::typeof(Base.cat_t), ::Type{Int64}, ::UnitRange{Int64}, ::Vararg{Any, N} where N)
+├─ MethodInstance for cat_similar(::UnitRange{Int64}, ::Type, ::Tuple{Int64})
+└─ MethodInstance for __cat(::Vector{Int64}, ::Tuple{Int64}, ::Tuple{Bool}, ::UnitRange{Int64}, ::Vararg{Any, N} where N)
+
+julia> suggest(node)
+./abstractarray.jl:1630: invoked callee is varargs (ignore this one, force-specialize the callee MethodInstance for (::Base.var"#cat_t##kw")(::NamedTuple{(:dims,), Tuple{Val{1}}}, ::typeof(Base.cat_t), ::Type{Int64}, ::UnitRange{Int64}, ::Vararg{Any, N} where N), or declare an umbrella type)
+immediate caller(s):
+1-element Vector{Base.StackTraces.StackFrame}:
+ main() at OptimizeMe.jl:48
+├─ ./abstractarray.jl:1636: caller is varargs (ignore this one, specialize the caller _cat_t(::Val{1}, ::Type{Int64}, ::UnitRange{Int64}, ::Vararg{Any, N} where N) at abstractarray.jl:1636, or improve inferrability of its caller)
+│  immediate caller(s):
+│  1-element Vector{Base.StackTraces.StackFrame}:
+│   cat_t(::Type{Int64}, ::UnitRange{Int64}, ::Vararg{Any, N} where N; dims::Val{1}) at abstractarray.jl:1632
+└─ ./abstractarray.jl:1640: caller is varargs (ignore this one, specialize the caller _cat_t(::Val{1}, ::Type{Int64}, ::UnitRange{Int64}, ::Vararg{Any, N} where N) at abstractarray.jl:1640, or improve inferrability of its caller)
+   immediate caller(s):
+   1-element Vector{Base.StackTraces.StackFrame}:
+    cat_t(::Type{Int64}, ::UnitRange{Int64}, ::Vararg{Any, N} where N; dims::Val{1}) at abstractarray.jl:1632

Due to Julia's optimization and inlining, it's sometimes a bit hard to tell from these shortened displays where a particular trigger comes from. (It turns out that this is finally the trigger we looked at in greatest detail in method-based triggers.) In this case we extract the specific trigger and show the stacktrace:

julia> itrig = node.itrig
+Inference triggered to call MethodInstance for (::Base.var"#cat_t##kw")(::NamedTuple{(:dims,), Tuple{Val{1}}}, ::typeof(Base.cat_t), ::Type{Int64}, ::UnitRange{Int64}, ::Vararg{Any, N} where N) from _cat (./abstractarray.jl:1630) inlined into MethodInstance for makeobjects() (/tmp/OptimizeMe.jl:39)
+
+julia> stacktrace(itrig)
+24-element Vector{Base.StackTraces.StackFrame}:
+ exit_current_timer at typeinfer.jl:166 [inlined]
+ typeinf(interp::Core.Compiler.NativeInterpreter, frame::Core.Compiler.InferenceState) at typeinfer.jl:208
+ typeinf_ext(interp::Core.Compiler.NativeInterpreter, mi::Core.MethodInstance) at typeinfer.jl:835
+ typeinf_ext_toplevel(interp::Core.Compiler.NativeInterpreter, linfo::Core.MethodInstance) at typeinfer.jl:868
+ typeinf_ext_toplevel(mi::Core.MethodInstance, world::UInt64) at typeinfer.jl:864
+ _cat at abstractarray.jl:1630 [inlined]
+ #cat#127 at abstractarray.jl:1769 [inlined]
+ cat at abstractarray.jl:1769 [inlined]
+ vcat at abstractarray.jl:1698 [inlined]
+ makeobjects() at OptimizeMe.jl:39
+ main() at OptimizeMe.jl:48
+ top-level scope at snoop_inference.jl:53
+ eval(m::Module, e::Any) at boot.jl:360
+ eval_user_input(ast::Any, backend::REPL.REPLBackend) at REPL.jl:139
+ repl_backend_loop(backend::REPL.REPLBackend) at REPL.jl:200
+ start_repl_backend(backend::REPL.REPLBackend, consumer::Any) at REPL.jl:185
+ run_repl(repl::REPL.AbstractREPL, consumer::Any; backend_on_current_task::Bool) at REPL.jl:317
+ run_repl(repl::REPL.AbstractREPL, consumer::Any) at REPL.jl:305
+ (::Base.var"#872#874"{Bool, Bool, Bool})(REPL::Module) at client.jl:387
+ #invokelatest#2 at essentials.jl:707 [inlined]
+ invokelatest at essentials.jl:706 [inlined]
+ run_main_repl(interactive::Bool, quiet::Bool, banner::Bool, history_file::Bool, color_set::Bool) at client.jl:372
+ exec_options(opts::Base.JLOptions) at client.jl:302
+ _start() at client.jl:485

(You can also call stacktrace directly on node.) It's the lines immediately following typeinf_ext_toplevel that need concern us: you can see that the "last stop" on code we wrote here was makeobjects() at OptimizeMe.jl:39, after which it goes fairly deep into the concatenation pipeline before suffering an inference trigger at _cat at abstractarray.jl:1630.

In this case, the first hint is quite useful, if we know how to interpret it. The invoked callee is varargs reassures us that the immediate caller, _cat, knows exactly which method it is calling (that's the meaning of the invoked). The real problem is that it doesn't know how to specialize it. The suggestion to homogenize the arguments is the crucial hint: the problem comes from the fact that in

xs = [1:5; 7]

1:5 is a UnitRange{Int} whereas 7 is an Int, and the fact that these are two different types prevents Julia from knowing how to specialize that varargs call. But this is easy to fix, because the result will be identical if we write this as

xs = [1:5; 7:7]

in which case both arguments are UnitRange{Int}, and this allows Julia to specialize the varargs call.

Note

It's generally a good thing that Julia doesn't specialize each and every varargs call, because the lack of specialization reduces latency. However, when you can homogenize the argument types and make it inferrable, you make it more worthy of precompilation, which is a different and ultimately more impactful approach to latency reduction.

Defining show methods for custom types

Finally we are left with nodes that are related to show. We'll temporarily skip the first of these and examine

julia> print_tree(node)
+MethodInstance for show(::IOContext{Base.TTY}, ::MIME{Symbol("text/plain")}, ::Vector{Main.OptimizeMe.Object})
+└─ MethodInstance for var"#sprint#386"(::IOContext{Base.TTY}, ::Int64, ::typeof(sprint), ::Function, ::Main.OptimizeMe.Object)
+   └─ MethodInstance for sizeof(::Main.OptimizeMe.Object)

We'll use this as an excuse to point out that if you don't know how to deal with the root node of this (sub)tree, you can tackle later nodes:

julia> itrigsnode = flatten(node)
+3-element Vector{InferenceTrigger}:
+ Inference triggered to call MethodInstance for show(::IOContext{Base.TTY}, ::MIME{Symbol("text/plain")}, ::Vector{Main.OptimizeMe.Object}) from #38 (/home/tim/src/julia-master/usr/share/julia/stdlib/v1.6/REPL/src/REPL.jl:220) with specialization MethodInstance for (::REPL.var"#38#39"{REPL.REPLDisplay{REPL.LineEditREPL}, MIME{Symbol("text/plain")}, Base.RefValue{Any}})(::Any)
+ Inference triggered to call MethodInstance for var"#sprint#386"(::IOContext{Base.TTY}, ::Int64, ::typeof(sprint), ::Function, ::Main.OptimizeMe.Object) from sprint##kw (./strings/io.jl:101) inlined into MethodInstance for alignment(::IOContext{Base.TTY}, ::Vector{Main.OptimizeMe.Object}, ::UnitRange{Int64}, ::UnitRange{Int64}, ::Int64, ::Int64, ::Int64) (./arrayshow.jl:68)
+ Inference triggered to call MethodInstance for sizeof(::Main.OptimizeMe.Object) from _show_default (./show.jl:402) with specialization MethodInstance for _show_default(::IOContext{IOBuffer}, ::Any)
+
+julia> itrig = itrigsnode[end]
+Inference triggered to call MethodInstance for sizeof(::Main.OptimizeMe.Object) from _show_default (./show.jl:402) with specialization MethodInstance for _show_default(::IOContext{IOBuffer}, ::Any)

The stacktrace begins

julia> stacktrace(itrig)
+35-element Vector{Base.StackTraces.StackFrame}:
+ exit_current_timer at typeinfer.jl:166 [inlined]
+ typeinf(interp::Core.Compiler.NativeInterpreter, frame::Core.Compiler.InferenceState) at typeinfer.jl:208
+ typeinf_ext(interp::Core.Compiler.NativeInterpreter, mi::Core.MethodInstance) at typeinfer.jl:835
+ typeinf_ext_toplevel(interp::Core.Compiler.NativeInterpreter, linfo::Core.MethodInstance) at typeinfer.jl:868
+ typeinf_ext_toplevel(mi::Core.MethodInstance, world::UInt64) at typeinfer.jl:864
+ _show_default(io::IOContext{IOBuffer}, x::Any) at show.jl:402
+ show_default at show.jl:395 [inlined]
+ show(io::IOContext{IOBuffer}, x::Any) at show.jl:390
+ sprint(f::Function, args::Main.OptimizeMe.Object; context::IOContext{Base.TTY}, sizehint::Int64) at io.jl:103
+⋮

You can see that sprint called show which called _show_default; _show_default clearly needed to call sizeof. The hint, in this case, suggests the impossible:

julia> suggest(itrig)
+./show.jl:402: non-inferrable call, perhaps annotate _show_default(io::IO, x) in Base at show.jl:397 with type MethodInstance for sizeof(::Main.OptimizeMe.Object)
+If a noninferrable argument is a type or function, Julia's specialization heuristics may be responsible.
+immediate caller(s):
+2-element Vector{Base.StackTraces.StackFrame}:
+ show_default at show.jl:395 [inlined]
+ show(io::IOContext{IOBuffer}, x::Any) at show.jl:390

Because Base doesn't know about OptimizeMe.Object, you could not add such an annotation, and it wouldn't be correct in the vast majority of cases.

As the name implies, _show_default is the fallback show method. We can fix this by adding our own show method

Base.show(io::IO, o::Object) = print(io, "Object x: ", o.x)

to the module definition. Object is so simple that this is slightly silly, but in more complex cases adding good show methods improves usability of your packages tremendously. (SnoopCompile has many show specializations, and without them it would be practically unusable.)

When you do define a custom show method, you own it, so of course it will be precompilable. So we've circumvented this particular issue.

Creating "warmup" methods

Finally, it is time to deal with those long-delayed show(::IOContext{Base.TTY}, ::MIME{Symbol("text/plain")}, ::T) triggers and the triggers they inspire. We have two of them, one for T = Vector{Main.OptimizeMe.Container{Any}} and one for T = Vector{Main.OptimizeMe.Object}. Let's look at just the trigger associated with the first:

julia> itrig
+Inference triggered to call MethodInstance for show(::IOContext{Base.TTY}, ::MIME{Symbol("text/plain")}, ::Vector{Main.OptimizeMeFixed.Container{Any}}) from #38 (/pathto/julia/usr/share/julia/stdlib/v1.6/REPL/src/REPL.jl:220) with specialization MethodInstance for (::REPL.var"#38#39"{REPL.REPLDisplay{REPL.LineEditREPL}, MIME{Symbol("text/plain")}, Base.RefValue{Any}})(::Any)

In this case we see that the method is #38. This is a gensym, or generated symbol, indicating that the method was generated during Julia's lowering pass, and might indicate a macro, a do block or other anonymous function, the generator for a @generated function, etc.

Warning

It's particularly worthwhile to improve inferrability for gensym-methods. The number assiged to a gensymmed-method may change as you or other developers modify the package (possibly due to changes at very difference source-code locations), and so any explicit precompile directives involving gensyms may not have a long useful life.

But not all methods with # in their name are problematic: methods ending in ##kw or that look like ##funcname#39 are keyword and body methods, respectively, for methods that accept keywords. They can be obtained from the main method, and so precompile directives for such methods will not be outdated by incidental changes to the package.

edit(itrig) (or equivalently, edit(node) where node is a child of itree) takes us to this method in Base:

function display(d::REPLDisplay, mime::MIME"text/plain", x)
+    x = Ref{Any}(x)
+    with_repl_linfo(d.repl) do io
+        io = IOContext(io, :limit => true, :module => Main::Module)
+        get(io, :color, false) && write(io, answer_color(d.repl))
+        if isdefined(d.repl, :options) && isdefined(d.repl.options, :iocontext)
+            # this can override the :limit property set initially
+            io = foldl(IOContext, d.repl.options.iocontext, init=io)
+        end
+        show(io, mime, x[])
+        println(io)
+    end
+    return nothing
+end

The generated method corresponds to the do block here. The call to show comes from show(io, mime, x[]). This implementation uses a clever trick, wrapping x in a Ref{Any}(x), to prevent specialization of the method defined by the do block on the specific type of x. This trick is designed to limit the number of MethodInstances inferred for this display method.

Unfortunately, from the standpoint of precompilation we have something of a conundrum. It turns out that this trigger corresponds to the first of the big red flames in the flame graph. show(::IOContext{Base.TTY}, ::MIME{Symbol("text/plain")}, ::Vector{Main.OptimizeMe.Container{Any}}) is not precompilable because Base owns the show method for Vector; we might own the element type, but we're leveraging the generic machinery in Base and consequently it owns the method. If these were all packages, you might request its developers to add a precompile directive, but that will work only if the package that owns the method knows about the relevant type. In this situation, Julia's Base module doesn't know about OptimizeMe.Container{Any}, so we're stuck.

There are a couple of ways one might go about improving matters. First, one option is that this should be changed in Julia itself: since the caller, display, has gone to some lengths to reduce specialization, it would be worth contemplating whether show(io::IO, ::MIME"text/plain", X::AbstractArray) should have a @nospecialize around X. Here, we'll pursue a simple "cheat," one that allows us to directly precompile this method. The trick is to link it, via a chain of backedges, to a method that our package owns:

# "Stub" callers for precompilability (we don't use this function for any real work)
+function warmup()
+    mime = MIME("text/plain")
+    io = Base.stdout::Base.TTY
+    # Container{Any}
+    v = [Container{Any}(0)]
+    show(io, mime, v)
+    show(IOContext(io), mime, v)
+    # Object
+    v = [Object(0)]
+    show(io, mime, v)
+    show(IOContext(io), mime, v)
+    return nothing
+end
+
+precompile(warmup, ())

We handled not just Vector{Container{Any}} but also Vector{Object}, since that turns out to correspond to the other wide block of red bars. If you make this change, start a fresh session, and recreate the flame graph, you'll see that the wide red flames are gone:

flamegraph-OptimizeMeFixed

Info

It's worth noting that this warmup method needed to be carefully written to succeed in its mission. stdout is not inferrable (it's a global that can be replaced by redirect_stdout), so we needed to annotate its type. We also might have been tempted to use a loop, for io in (stdout, IOContext(stdout)) ... end, but inference needs a dedicated call-site where it knows all the types. (Union-splitting can sometimes come to the rescue, but not if the list is long or elements non-inferrable.) The safest option is to make each call from a separate site in the code.

The next trigger, a call to sprint from inside Base.alignment(io::IO, x::Any), could also be handled using this warmup trick, but the flamegraph says this call (also marked in red) isn't an expensive method to infer. In such cases, it's fine to choose to leave it be.

Implementing or requesting precompile directives in upstream packages

Of the remaining triggers (now numbering 14), the flamegraph indicates that the most expensive inference run is

Inference triggered to call MethodInstance for show(::IOContext{IOBuffer}, ::Float32) from _show_default (./show.jl:412) with specialization MethodInstance for _show_default(::IOContext{IOBuffer}, ::Any)

You can check that by listing the children of ROOT in order of inclusive time:

julia> nodes = sort(tinf.children; by=inclusive)
+14-element Vector{SnoopCompileCore.InferenceTimingNode}:
+ InferenceTimingNode: 0.000053/0.000053 on InferenceFrameInfo for ==(::Type, nothing::Nothing) with 0 direct children
+ InferenceTimingNode: 0.000054/0.000054 on InferenceFrameInfo for sizeof(::Main.OptimizeMeFixed.Container{Any}) with 0 direct children
+ InferenceTimingNode: 0.000061/0.000061 on InferenceFrameInfo for Base.typeinfo_eltype(::Type) with 0 direct children
+ InferenceTimingNode: 0.000075/0.000380 on InferenceFrameInfo for show(::IOContext{IOBuffer}, ::Any) with 1 direct children
+ InferenceTimingNode: 0.000445/0.000445 on InferenceFrameInfo for Pair{Symbol, DataType}(::Any, ::Any) with 0 direct children
+ InferenceTimingNode: 0.000663/0.000663 on InferenceFrameInfo for print(::IOContext{Base.TTY}, ::String, ::String, ::Vararg{String, N} where N) with 0 direct children
+ InferenceTimingNode: 0.000560/0.001049 on InferenceFrameInfo for Base.var"#sprint#386"(::IOContext{Base.TTY}, ::Int64, sprint::typeof(sprint), ::Function, ::Main.OptimizeMeFixed.Object) with 4 direct children
+ InferenceTimingNode: 0.000441/0.001051 on InferenceFrameInfo for Pair(::Symbol, ::Type) with 1 direct children
+ InferenceTimingNode: 0.000627/0.001140 on InferenceFrameInfo for Base.var"#sprint#386"(::IOContext{Base.TTY}, ::Int64, sprint::typeof(sprint), ::Function, ::Main.OptimizeMeFixed.Container{Any}) with 4 direct children
+ InferenceTimingNode: 0.000321/0.001598 on InferenceFrameInfo for show(::IOContext{IOBuffer}, ::UInt16) with 4 direct children
+ InferenceTimingNode: 0.000190/0.012516 on InferenceFrameInfo for show(::IOContext{IOBuffer}, ::Vector{Int64}) with 3 direct children
+ InferenceTimingNode: 0.021179/0.033940 on InferenceFrameInfo for Base.Ryu.writeshortest(::Vector{UInt8}, ::Int64, ::Float32, ::Bool, ::Bool, ::Bool, ::Int64, ::UInt8, ::Bool, ::UInt8, ::Bool, ::Bool) with 29 direct children
+ InferenceTimingNode: 0.000083/0.035496 on InferenceFrameInfo for show(::IOContext{IOBuffer}, ::Tuple{String, Int64}) with 1 direct children
+ InferenceTimingNode: 0.000188/0.092555 on InferenceFrameInfo for show(::IOContext{IOBuffer}, ::Float32) with 1 direct children

You can see it's the most expensive remaining root, weighing in at nearly 100ms. This method is defined in the Base.Ryu module,

julia> node = nodes[end]
+InferenceTimingNode: 0.000188/0.092555 on InferenceFrameInfo for show(::IOContext{IOBuffer}, ::Float32) with 1 direct children
+
+julia> Method(node)
+show(io::IO, x::T) where T<:Union{Float16, Float32, Float64} in Base.Ryu at ryu/Ryu.jl:111

Now, we could add this to warmup and at least solve the inference problem. However, on the flamegraph you might note that this is followed shortly by a couple of calls to Ryu.writeshortest (the third-most expensive to infer), followed by a long gap. That hints that other steps, like native code generation, may be expensive. Since these are base Julia methods, and Float32 is a common type, it would make sense to file an issue or pull request that Julia should come shipped with these precompiled–that would cache not only the type-inference but also the native code, and thus represents a far more complete solution.

Later, we'll see how parcel can generate such precompile directives automatically, so this is not a step you need to implement entirely on your own.

Another show MethodInstance, show(::IOContext{IOBuffer}, ::Tuple{String, Int64}), seems too specific to be worth worrying about, so we call it quits here.

Advanced analysis: Cthulhu.ascend

One thing that hasn't yet been covered is that when you really need more insight, you can use ascend:

julia> itrig = itrigs[5]
+Inference triggered to call MethodInstance for show(::IOContext{IOBuffer}, ::Float32) from _show_default (./show.jl:412) with specialization MethodInstance for _show_default(::IOContext{IOBuffer}, ::Any)
+
+julia> ascend(itrig)
+Choose a call for analysis (q to quit):
+ >   show(::IOContext{IOBuffer}, ::Float32)
+       _show_default(::IOContext{IOBuffer}, ::Any) at ./show.jl:412
+         show_default at ./show.jl:395 => show(::IOContext{IOBuffer}, ::Any) at ./show.jl:390
+           #sprint#386(::IOContext{Base.TTY}, ::Int64, ::typeof(sprint), ::Function, ::Main.OptimizeMeFixed.Container{Any}) at ./strings/io.jl:103
+             sprint##kw at ./strings/io.jl:101 => alignment at ./show.jl:2528 => alignment(::IOContext{Base.TTY}, ::Vector{Main.OptimizeMeFixed.Container{Any}}, ::UnitRange{Int64}, ::UnitRange{Int64}, ::
+               print_matrix(::IOContext{Base.TTY}, ::AbstractVecOrMat{T} where T, ::String, ::String, ::String, ::String, ::String, ::String, ::Int64, ::Int64) at ./arrayshow.jl:197
+                 print_matrix at ./arrayshow.jl:169 => print_array at ./arrayshow.jl:323 => show(::IOContext{Base.TTY}, ::MIME{Symbol("text/plain")}, ::Vector{Main.OptimizeMeFixed.Container{Any}}) at ./a
+                   (::REPL.var"#38#39"{REPL.REPLDisplay{REPL.LineEditREPL}, MIME{Symbol("text/plain")}, Base.RefValue{Any}})(::Any) at /home/tim/src/julia-master/usr/share/julia/stdlib/v1.6/REPL/src/REPL
+                     with_repl_linfo(::Any, ::REPL.LineEditREPL) at /home/tim/src/julia-master/usr/share/julia/stdlib/v1.6/REPL/src/REPL.jl:462
+v                      display(::REPL.REPLDisplay, ::MIME{Symbol("text/plain")}, ::Any) at /home/tim/src/julia-master/usr/share/julia/stdlib/v1.6/REPL/src/REPL.jl:213
+

ascend was covered in much greater detail in fixing invalidations, and you can read about using it on that page. Here, one twist is that some lines contain content like

show_default at ./show.jl:395 => show(::IOContext{IOBuffer}, ::Any) at ./show.jl:390

This indicates that show_default was inlined into show. ascend needs the full non-inlined MethodInstance to descend into, so the tree only includes such nodes. However, within Cthulhu you can toggle optimization and thereby descend into some of these inlined method, or see the full consequence of their inlining into the caller.

A note on analyzing test suites

If you're doing a package analysis, it's convenient to use the package's runtests.jl script as a way to cover much of the package's functionality. SnoopCompile has a couple of enhancements designed to make it easier to ignore inference triggers that come from the test suite itself. First, suggest.(itrigs) may show something like this:

 ./broadcast.jl:1315: inlineable (ignore this one)
+ ./broadcast.jl:1315: inlineable (ignore this one)
+ ./broadcast.jl:1315: inlineable (ignore this one)
+ ./broadcast.jl:1315: inlineable (ignore this one)

This indicates a broadcasting operation in the @testset itself. Second, while it's a little dangerous (because suggest cannot entirely be trusted), you can filter these out:

julia> itrigsel = [itrig for itrig in itrigs if !isignorable(suggest(itrig))];
+
+julia> length(itrigs)
+222
+
+julia> length(itrigsel)
+71

While there is some risk of discarding triggers that provide clues about the origin of other triggers (e.g., they would have shown up in the same branch of the trigger_tree), the shorter list may help direct your attention to the "real" issues.

Results from the improvements

An improved version of OptimizeMe can be found in OptimizeMeFixed.jl in the same directory. Let's see where we stand:

julia> tinf = @snoop_inference OptimizeMeFixed.main()
+3.14 is great
+2.718 is jealous
+...
+ Object x: 7
+InferenceTimingNode: 0.888522055/1.496965222 on InferenceFrameInfo for Core.Compiler.Timings.ROOT() with 15 direct children

We've substantially shrunk the overall inclusive time from 2.68s to about 1.5s. Some of this came from our single precompile directive, for warmup. But even more of it came from limiting specialization (using Container{Any} instead of Container) and by making some results easier on type-inference (e.g., our changes for the vcat pipeline).

On the next page, we'll wrap all this up with more explicit precompile directives.

diff --git a/previews/PR389/tutorials/snoop_inference_parcel/index.html b/previews/PR389/tutorials/snoop_inference_parcel/index.html new file mode 100644 index 000000000..833cf9553 --- /dev/null +++ b/previews/PR389/tutorials/snoop_inference_parcel/index.html @@ -0,0 +1,50 @@ + +Using @snoop_inference to emit manual precompile directives · SnoopCompile
GitHub

Using @snoop_inference to emit manual precompile directives

In a few cases, it may be inconvenient or impossible to precompile using a workload. Some examples might be:

  • an application that opens graphical windows
  • an application that connects to a database
  • an application that creates, deletes, or rewrites files on disk

In such cases, one alternative is to create a manual list of precompile directives using Julia's precompile(f, argtypes) function.

Warning

Manual precompile directives are much more likely to "go stale" as the package is developed–-precompile does not throw an error if a method for the given argtypes cannot be found. They are also more likely to be dependent on the Julia version, operating system, or CPU architecture. Whenever possible, it's safer to use a workload.

precompile directives have to be emitted by the module that owns the method and/or types. SnoopCompile comes with a tool, parcel, that splits out the "root-most" precompilable MethodInstances into their constituent modules. This will typically correspond to the bottom row of boxes in the flame graph. In cases where you have some non-precompilable MethodInstances, they will include MethodInstances from higher up in the call tree.

Let's use SnoopCompile.parcel on OptimizeMeFixed:

julia> ttot, pcs = SnoopCompile.parcel(tinf);
+
+julia> ttot
+0.6084431670000001
+
+julia> pcs
+4-element Vector{Pair{Module, Tuple{Float64, Vector{Tuple{Float64, Core.MethodInstance}}}}}:
+                 Core => (0.000135179, [(0.000135179, MethodInstance for (NamedTuple{(:sizehint,), T} where T<:Tuple)(::Tuple{Int64}))])
+                 Base => (0.028383533000000002, [(3.2456e-5, MethodInstance for getproperty(::IOBuffer, ::Symbol)), (4.7474e-5, MethodInstance for ==(::Type, ::Nothing)), (5.7944e-5, MethodInstance for typeinfo_eltype(::Type)), (0.00039092299999999994, MethodInstance for show(::IOContext{IOBuffer}, ::Any)), (0.000433143, MethodInstance for IOContext(::IOBuffer, ::IOContext{Base.TTY})), (0.000484984, MethodInstance for Pair{Symbol, DataType}(::Any, ::Any)), (0.000742383, MethodInstance for print(::IOContext{Base.TTY}, ::String, ::String, ::Vararg{String, N} where N)), (0.001293705, MethodInstance for Pair(::Symbol, ::Type)), (0.0018914350000000003, MethodInstance for show(::IOContext{IOBuffer}, ::UInt16)), (0.010604793000000001, MethodInstance for show(::IOContext{IOBuffer}, ::Tuple{String, Int64})), (0.012404293, MethodInstance for show(::IOContext{IOBuffer}, ::Vector{Int64}))])
+             Base.Ryu => (0.15733664599999997, [(0.05721630600000001, MethodInstance for writeshortest(::Vector{UInt8}, ::Int64, ::Float32, ::Bool, ::Bool, ::Bool, ::Int64, ::UInt8, ::Bool, ::UInt8, ::Bool, ::Bool)), (0.10012033999999997, MethodInstance for show(::IOContext{IOBuffer}, ::Float32))])
+ Main.OptimizeMeFixed => (0.4204474180000001, [(0.4204474180000001, MethodInstance for main())])

This tells us that a total of ~0.6s were spent on inference. parcel discovered precompilable MethodInstances for four modules, Core, Base, Base.Ryu, and OptimizeMeFixed. These are listed in increasing order of inference time.

Let's look specifically at OptimizeMeFixed, since that's under our control:

julia> pcmod = pcs[end]
+Main.OptimizeMeFixed => (0.4204474180000001, Tuple{Float64, Core.MethodInstance}[(0.4204474180000001, MethodInstance for main())])
+
+julia> tmod, tpcs = pcmod.second;
+
+julia> tmod
+0.4204474180000001
+
+julia> tpcs
+1-element Vector{Tuple{Float64, Core.MethodInstance}}:
+ (0.4204474180000001, MethodInstance for main())

0.42s of that time is due to OptimizeMeFixed, and parcel discovered a single MethodInstances to precompile, main().

We could look at the other modules (packages) similarly.

SnoopCompile.write

You can generate files that contain ready-to-use precompile directives using SnoopCompile.write:

julia> SnoopCompile.write("/tmp/precompiles_OptimizeMe", pcs)
+Core: no precompile statements out of 0.000135179
+Base: precompiled 0.026194226 out of 0.028383533000000002
+Base.Ryu: precompiled 0.15733664599999997 out of 0.15733664599999997
+Main.OptimizeMeFixed: precompiled 0.4204474180000001 out of 0.4204474180000001

You'll now find a directory /tmp/precompiles_OptimizeMe, and inside you'll find three files, for Base, Base.Ryu, and OptimizeMeFixed, respectively. The contents of the last of these should be recognizable:

function _precompile_()
+    ccall(:jl_generating_output, Cint, ()) == 1 || return nothing
+    Base.precompile(Tuple{typeof(main)})   # time: 0.4204474
+end

The first ccall line ensures we only pay the cost of running these precompile directives if we're building the package; this is relevant mostly if you're running Julia with --compiled-modules=no, which can be a convenient way to disable precompilation and examine packages in their "native state." (It would also matter if you've set __precompile__(false) at the top of your module, but if so why are you reading this?)

This file is ready to be moved into the OptimizeMe repository and included into your module definition. Since we added warmup manually, you could consider moving precompile(warmup, ()) into this function.

You might also consider submitting some of the other files (or their precompile directives) to the packages you depend on. In some cases, the specific argument type combinations may be too "niche" to be worth specializing; one such case is found here, a show method for Tuple{String, Int64} for Base. But in other cases, these may be very worthy additions to the package.

Final results

Let's check out the final results of adding these precompile directives to OptimizeMeFixed. First, let's build both modules as precompiled packages:

ulia> push!(LOAD_PATH, ".")
+4-element Vector{String}:
+ "@"
+ "@v#.#"
+ "@stdlib"
+ "."
+
+julia> using OptimizeMe
+[ Info: Precompiling OptimizeMe [top-level]
+
+julia> using OptimizeMeFixed
+[ Info: Precompiling OptimizeMeFixed [top-level]

Now in fresh sessions,

julia> @time (using OptimizeMe; OptimizeMe.main())
+3.14 is great
+2.718 is jealous
+⋮
+Object x: 7
+  3.159908 seconds (10.63 M allocations: 582.091 MiB, 5.19% gc time, 99.67% compilation time)

versus

julia> @time (using OptimizeMeFixed; OptimizeMeFixed.main())
+3.14 is great
+2.718 is jealous
+⋮
+ Object x: 7
+  1.840034 seconds (5.38 M allocations: 289.402 MiB, 5.03% gc time, 96.70% compilation time)

We've cut down on the latency by nearly a factor of two. Moreover, if Julia someday caches generated code, we're well-prepared to capitalize on the benefits, because the same improvements in "code ownership" are almost certain to pay dividends there too.

If you inspect the results, you may sometimes suffer a few disappointments: some methods that we expected to precompile don't "take." At the moment there appears to be a small subset of methods that fail to precompile, and the reasons are not yet widely understood. At present, the best advice seems to be to comment-out any precompile directives that don't "take," since otherwise they increase the build time for the package without material benefit. These failures may be addressed in future versions of Julia. It's also worth appreciating how much we have succeeded in reducing latency, with the awareness that we may be able to get even greater benefit in the future.

Summary

@snoop_inference collects enough data to learn which methods are triggering inference, how heavily methods are being specialized, and so on. Examining your code from the standpoint of inference and specialization may be unfamiliar at first, but like other aspects of package development (testing, documentation, and release compatibility management) it can lead to significant improvements in the quality-of-life for you and your users.

diff --git a/previews/PR389/tutorials/snoop_llvm/index.html b/previews/PR389/tutorials/snoop_llvm/index.html new file mode 100644 index 000000000..a649bd66f --- /dev/null +++ b/previews/PR389/tutorials/snoop_llvm/index.html @@ -0,0 +1,10 @@ + +Tutorial on @snoop_llvm · SnoopCompile
GitHub

Tutorial on @snoop_llvm

Julia uses the LLVM compiler to generate machine code. Typically, the two main contributors to the overall compile time are inference and LLVM, and thus together @snoop_inference and @snoop_llvm collect fairly comprehensive data on the compiler.

@snoop_llvm has a somewhat different design than @snoop_inference: while @snoop_inference runs in the same session that you'll be using for analysis (and thus requires that you remember to do the data gathering in a fresh session), @snoop_llvm spawns a fresh process to collect the data. The downside is that you get less interactivity, as the data have to be written out in intermediate forms as a text file.

Add SnoopCompileCore and SnoopCompile to your environment

Here, we'll add these packages to your default environment.

julia> using Pkg
julia> Pkg.add(["SnoopCompileCore", "SnoopCompile"]);   Resolving package versions...
+  No Changes to `~/work/SnoopCompile.jl/SnoopCompile.jl/docs/build/tutorials/BlackjackFacecards/Project.toml`
+  No Changes to `~/work/SnoopCompile.jl/SnoopCompile.jl/docs/build/tutorials/BlackjackFacecards/Manifest.toml`

Collecting the data

Here's a simple demonstration of usage:

julia> using SnoopCompileCore
julia> @snoop_llvm "func_names.csv" "llvm_timings.yaml" begin
+           using InteractiveUtils
+           @eval InteractiveUtils.peakflops()
+       endLaunching new julia process to run commands...
+done.
julia> using SnoopCompile
julia> times, info = SnoopCompile.read_snoop_llvm("func_names.csv", "llvm_timings.yaml", tmin_secs = 0.025);

This will write two files, "func_names.csv" and "llvm_timings.yaml", in your current working directory. Let's look at what was read from these files:

julia> times1-element Vector{Pair{Float64, Vector{String}}}:
+ 0.232740655 => ["Tuple{typeof(LinearAlgebra._generic_matmatmul!), Array{Float64, 2}, Char, Char, Array{Float64, 2}, Array{Float64, 2}, LinearAlgebra.MulAddMul{true, true, Bool, Bool}}"]
julia> infoDict{String, @NamedTuple{before::@NamedTuple{instructions::Int64, basicblocks::Int64}, after::@NamedTuple{instructions::Int64, basicblocks::Int64}}} with 1 entry:
+  "Tuple{typeof(LinearAlge… => (before = (instructions = 5735, basicblocks = 13…