diff --git a/analysis/statistics/646e82975915b2408b0987a6f62eeefcc365cda0.txt b/analysis/statistics/646e82975915b2408b0987a6f62eeefcc365cda0.txt
new file mode 100644
index 000000000..9bacb6aa6
--- /dev/null
+++ b/analysis/statistics/646e82975915b2408b0987a6f62eeefcc365cda0.txt
@@ -0,0 +1,46 @@
+
+changeset: 1432:646e82975915b2408b0987a6f62eeefcc365cda0
+char kNewtonVersion[] = "0.3-alpha-1432 (646e82975915b2408b0987a6f62eeefcc365cda0) (build 02-25-2023-16:54-pei@pei-G5-5500-Linux-5.19.0-32-generic-x86_64)";
+\n./src/noisy/noisy-linux-EN -O0 applications/noisy/helloWorld.n -s
+\n./src/newton/newton-linux-EN -v 0 -eP applications/newton/invariants/ViolinWithTemperatureDependence-pigroups.nt
+
+Informational Report:
+---------------------
+Invariant "ViolinWithTemperatureDependenceForPiGroups" has 2 unique kernels, each with 2 column(s)...
+
+	Kernel 0 is a valid kernel:
+
+		   1   1
+		-0.5  -0
+		   1   0
+		 0.5   0
+		   0  -1
+		  -0  -1
+
+
+		The ordering of parameters is:	P1 P0 P3 P2 P4 P5 
+
+			Pi group 0, Pi 0 is:	P0^(-0.5)  P1^( 1)  P2^(0.5)  P3^( 1)  P4^( 0)  P5^(-0)  
+
+			Pi group 0, Pi 1 is:	P0^(-0)  P1^( 1)  P2^( 0)  P3^( 0)  P4^(-1)  P5^(-1)  
+
+
+	Kernel 1 is a valid kernel:
+
+		   1   0
+		-0.5   1
+		   1  -2
+		 0.5  -1
+		  -0  -2
+		   0  -2
+
+
+		The ordering of parameters is:	P1 P0 P3 P2 P4 P5 
+
+			Pi group 1, Pi 0 is:	P0^(-0.5)  P1^( 1)  P2^(0.5)  P3^( 1)  P4^(-0)  P5^( 0)  
+
+			Pi group 1, Pi 1 is:	P0^( 1)  P1^( 0)  P2^(-1)  P3^(-2)  P4^(-2)  P5^(-2)  
+
+
+
+
diff --git a/applications/newton/llvm-ir/performance_test/auto_test.cpp b/applications/newton/llvm-ir/performance_test/auto_test.cpp
index e0b17c821..b7f85d23f 100644
--- a/applications/newton/llvm-ir/performance_test/auto_test.cpp
+++ b/applications/newton/llvm-ir/performance_test/auto_test.cpp
@@ -369,7 +369,7 @@ int main(int argc, char** argv) {
                 if (!std::equal(ori_perf_data.function_results.begin(), ori_perf_data.function_results.end(),
                                 opt_perf_data.function_results.begin())) {
                     std::cerr << "result error: " << test_cases[case_id] << " with parameters: " << param_str <<
-                    "ori: " << ori_perf_data.function_results[0] << "opt: " << opt_perf_data.function_results[0] <<
+                    "ori: " << ori_perf_data.function_results[0] << ", opt: " << opt_perf_data.function_results[0] <<
                     std::endl;
                 }
 
diff --git a/src/newton/newton-irPass-LLVMIR-rangeAnalysis.cpp b/src/newton/newton-irPass-LLVMIR-rangeAnalysis.cpp
index a4fdbd7a6..9c0e70ca6 100644
--- a/src/newton/newton-irPass-LLVMIR-rangeAnalysis.cpp
+++ b/src/newton/newton-irPass-LLVMIR-rangeAnalysis.cpp
@@ -2060,20 +2060,20 @@ rangeAnalysis(State * N, llvm::Function & llvmIrFunction, BoundInfo * boundInfo,
 								switch (bitWidth)
 								{
 									case 8:
-										resMin = static_cast<int8_t>(vrRangeIt->second.first) << constValue;
-										resMax = static_cast<int8_t>(vrRangeIt->second.second) << constValue;
+										resMin = static_cast<uint8_t>(vrRangeIt->second.first) << constValue;
+										resMax = static_cast<uint8_t>(vrRangeIt->second.second) << constValue;
 										break;
 									case 16:
-										resMin = static_cast<int16_t>(vrRangeIt->second.first) << constValue;
-										resMax = static_cast<int16_t>(vrRangeIt->second.second) << constValue;
+										resMin = static_cast<uint16_t>(vrRangeIt->second.first) << constValue;
+										resMax = static_cast<uint16_t>(vrRangeIt->second.second) << constValue;
 										break;
 									case 32:
-										resMin = static_cast<int32_t>(vrRangeIt->second.first) << constValue;
-										resMax = static_cast<int32_t>(vrRangeIt->second.second) << constValue;
+										resMin = static_cast<uint32_t>(vrRangeIt->second.first) << constValue;
+										resMax = static_cast<uint32_t>(vrRangeIt->second.second) << constValue;
 										break;
 									case 64:
-										resMin = static_cast<int64_t>(vrRangeIt->second.first) << constValue;
-										resMax = static_cast<int64_t>(vrRangeIt->second.second) << constValue;
+										resMin = static_cast<uint64_t>(vrRangeIt->second.first) << constValue;
+										resMax = static_cast<uint64_t>(vrRangeIt->second.second) << constValue;
 										break;
 									default:
 										assert(false);