diff --git a/analysis/statistics/d0d2af75e883590773e3e9933b5b4dbe4a9f46cf.txt b/analysis/statistics/d0d2af75e883590773e3e9933b5b4dbe4a9f46cf.txt
new file mode 100644
index 000000000..b0b2028fc
--- /dev/null
+++ b/analysis/statistics/d0d2af75e883590773e3e9933b5b4dbe4a9f46cf.txt
@@ -0,0 +1,46 @@
+
+changeset: 1493:d0d2af75e883590773e3e9933b5b4dbe4a9f46cf
+char kNewtonVersion[] = "0.3-alpha-1493 (d0d2af75e883590773e3e9933b5b4dbe4a9f46cf) (build 05-17-2023-17:20-pei@pei-G5-5500-Linux-5.19.0-41-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/plot_sensor_ranges.py b/applications/newton/llvm-ir/performance_test/plot_sensor_ranges.py
index 1dbd98815..597dd1d8f 100644
--- a/applications/newton/llvm-ir/performance_test/plot_sensor_ranges.py
+++ b/applications/newton/llvm-ir/performance_test/plot_sensor_ranges.py
@@ -141,7 +141,7 @@
 
 time_speedup = []
 for i in range(3, len(performance_data), 3):
-    time_speedup.append(float(performance_data[i][3].strip('%')) / 100)
+    time_speedup.append(float(performance_data[i][3].strip('%')) / 100 + 1)
 time_speedup = np.reshape(time_speedup, (test_case_num, range_extend_num, params_num))
 
 ir_reduction = []
@@ -167,16 +167,18 @@
     shutil.rmtree(fig_path, ignore_errors=True)
 os.mkdir(fig_path)
 
+heatmap_fmt = ['.2f', '.2f', '.0%', '.0%']
 # Heatmap
 for merit_id in range(1, merit_num, 2):
     plt.clf()
     plt.figure(dpi=300, constrained_layout=True)
     # for test_case_id in range(test_case_num):
-    fmt = lambda x, pos: '{:.0%}'.format(x)
+    cbar_fmt = '{:'+heatmap_fmt[merit_id]+'}'
+    fmt = lambda x, pos: cbar_fmt.format(x)
     fig = sns.heatmap(data=perf_data_speedup[merit_id].reshape([10, 17]).T,
                       cmap=plt.get_cmap('Purples'),
                       annot=True,
-                      fmt=".0%",
+                      fmt=heatmap_fmt[merit_id],
                       cbar_kws={'format': FuncFormatter(fmt)},
                       xticklabels=name_list,
                       yticklabels=param_list[0:params_num])