Add profiling tests.

tests/test_profile.py

@@ -0,0 +1,15 @@
+from pathlib import Path
+import pytest
+import sys
+
+sys.path.append(str(Path(__file__).parent.parent / "profile"))
+from run_profile import __main__  # noqa: E402
+
+
+@pytest.mark.parametrize("method", ["sample", "variational"])
+@pytest.mark.parametrize("parameterization", [
+    "graph_centered", "graph_non_centered", "fourier_centered", "fourier_non_centered",
+    "standard_centered", "standard_non_centered"
+])
+def test_run_profile(method, parameterization) -> None:
+    __main__([method, parameterization, "1", "--n=16", "--ignore_converged"])