jainankitk commented on PR #14516:
URL: https://github.com/apache/lucene/pull/14516#issuecomment-2816388606

   Performance comparison on linux machine, for 1000 iterations (significant 
change is more than 25%):
   
   ```
   % python3 ~/benchmark_comp.py                                                
           
   Found 128 test cases in baseline file
   Found 128 test cases in candidate file
   
   Benchmark Comparison Results
   
========================================================================================================================
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | Test Case                        | Baseline    | Baseline    | Candidate   
| Candidate   | Improvement   | Diff        | Significant   |
   |                                  | Mean (µs)   | Std Dev %   | Mean (µs)   
| Std Dev %   |               | Std Dev %   | Change        |
   
+==================================+=============+=============+=============+=============+===============+=============+===============+
   | Special Cases                    |             |             |             
|             |               |             |               |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | Equator                          | 0.186       | 254.0%      | 0.200       
| 121.6%      | -7.6%         | 152.5%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | Near dateline                    | 0.236       | 328.0%      | 0.227       
| 69.0%       | +3.7%         | 281.5%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | Near pole                        | 0.167       | 80.2%       | 0.209       
| 112.4%      | -24.9%        | 67.8%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | Regular Cases                    |             |             |             
|             |               |             |               |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=-179.0,r=100.0     | 0.179       | 100.4%      | 0.184       
| 88.2%       | -2.9%         | 35.5%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=-179.0,r=1000.0    | 0.166       | 81.8%       | 0.175       
| 78.5%       | -5.2%         | 47.9%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=-179.0,r=10000.0   | 0.159       | 108.4%      | 0.169       
| 77.3%       | -6.5%         | 55.0%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=-179.0,r=100000.0  | 0.180       | 71.0%       | 0.190       
| 68.3%       | -5.5%         | 25.0%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=-179.0,r=1000000.0 | 0.181       | 77.7%       | 0.185       
| 76.1%       | -2.2%         | 54.9%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=-90.0,r=100.0      | 0.159       | 82.6%       | 0.166       
| 82.2%       | -4.4%         | 33.0%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=-90.0,r=1000.0     | 0.162       | 79.3%       | 0.170       
| 73.0%       | -4.9%         | 27.7%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=-90.0,r=10000.0    | 0.158       | 88.2%       | 0.169       
| 76.9%       | -7.1%         | 46.1%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=-90.0,r=100000.0   | 0.159       | 83.9%       | 0.171       
| 75.4%       | -7.2%         | 43.8%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=-90.0,r=1000000.0  | 0.164       | 82.0%       | 0.166       
| 73.6%       | -1.5%         | 43.8%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=0.0,r=100.0        | 0.191       | 82.8%       | 0.185       
| 68.8%       | +3.4%         | 47.2%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=0.0,r=1000.0       | 0.180       | 75.5%       | 0.183       
| 73.2%       | -1.7%         | 36.2%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=0.0,r=10000.0      | 0.176       | 77.5%       | 0.177       
| 73.5%       | -0.8%         | 33.0%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=0.0,r=100000.0     | 0.168       | 85.7%       | 0.175       
| 77.7%       | -4.4%         | 33.3%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=0.0,r=1000000.0    | 0.191       | 187.9%      | 0.184       
| 69.0%       | +3.9%         | 175.5%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=179.0,r=100.0      | 0.164       | 97.0%       | 0.169       
| 76.9%       | -3.4%         | 58.1%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=179.0,r=1000.0     | 0.165       | 85.3%       | 0.170       
| 76.6%       | -3.0%         | 42.0%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=179.0,r=10000.0    | 0.158       | 81.7%       | 0.171       
| 92.8%       | -8.1%         | 51.7%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=179.0,r=100000.0   | 0.185       | 115.6%      | 0.202       
| 153.7%      | -9.2%         | 156.4%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=179.0,r=1000000.0  | 0.186       | 84.4%       | 0.206       
| 224.4%      | -10.6%        | 220.0%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=90.0,r=100.0       | 0.175       | 80.3%       | 0.190       
| 71.9%       | -8.1%         | 44.5%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=90.0,r=1000.0      | 0.165       | 74.8%       | 0.188       
| 163.6%      | -13.8%        | 148.5%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=90.0,r=10000.0     | 0.162       | 79.6%       | 0.172       
| 82.0%       | -6.4%         | 41.3%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=90.0,r=100000.0    | 0.158       | 79.2%       | 0.169       
| 81.6%       | -7.5%         | 37.1%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=90.0,r=1000000.0   | 0.172       | 78.2%       | 0.183       
| 77.6%       | -6.1%         | 53.6%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=-179.0,r=100.0     | 0.170       | 73.4%       | 0.176       
| 72.8%       | -3.3%         | 31.8%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=-179.0,r=1000.0    | 0.162       | 75.9%       | 0.173       
| 81.0%       | -6.9%         | 47.0%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=-179.0,r=10000.0   | 0.179       | 69.1%       | 0.192       
| 66.6%       | -7.2%         | 26.1%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=-179.0,r=100000.0  | 0.174       | 75.8%       | 0.188       
| 80.6%       | -8.1%         | 50.4%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=-179.0,r=1000000.0 | 0.154       | 108.7%      | 0.152       
| 100.7%      | +1.5%         | 50.7%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=-90.0,r=100.0      | 0.161       | 78.7%       | 0.170       
| 76.0%       | -5.3%         | 34.5%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=-90.0,r=1000.0     | 0.163       | 84.9%       | 0.180       
| 185.4%      | -10.1%        | 177.6%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=-90.0,r=10000.0    | 0.165       | 84.5%       | 0.178       
| 71.8%       | -7.8%         | 44.1%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=-90.0,r=100000.0   | 0.162       | 76.7%       | 0.182       
| 80.0%       | -12.1%        | 45.8%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=-90.0,r=1000000.0  | 0.140       | 74.1%       | 0.139       
| 70.3%       | +0.8%         | 46.0%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=0.0,r=100.0        | 0.167       | 83.3%       | 0.174       
| 72.4%       | -4.2%         | 48.9%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=0.0,r=1000.0       | 0.168       | 80.8%       | 0.177       
| 79.3%       | -5.3%         | 61.9%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=0.0,r=10000.0      | 0.173       | 75.4%       | 0.183       
| 70.2%       | -5.8%         | 36.6%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=0.0,r=100000.0     | 0.172       | 76.2%       | 0.187       
| 148.6%      | -8.6%         | 133.4%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=0.0,r=1000000.0    | 0.215       | 200.9%      | 0.219       
| 204.7%      | -1.8%         | 46.0%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=179.0,r=100.0      | 0.169       | 196.8%      | 0.174       
| 75.3%       | -3.0%         | 142.1%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=179.0,r=1000.0     | 0.162       | 77.9%       | 0.174       
| 96.8%       | -7.4%         | 53.2%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=179.0,r=10000.0    | 0.181       | 75.0%       | 0.193       
| 70.9%       | -6.6%         | 43.9%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=179.0,r=100000.0   | 0.201       | 333.6%      | 0.194       
| 65.0%       | +3.4%         | 328.2%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=179.0,r=1000000.0  | 0.184       | 156.2%      | 0.176       
| 57.8%       | +4.3%         | 150.3%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=90.0,r=100.0       | 0.169       | 78.6%       | 0.176       
| 75.3%       | -4.4%         | 35.3%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=90.0,r=1000.0      | 0.165       | 77.1%       | 0.182       
| 80.0%       | -10.3%        | 48.0%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=90.0,r=10000.0     | 0.166       | 99.5%       | 0.174       
| 75.8%       | -4.9%         | 72.3%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=90.0,r=100000.0    | 0.156       | 79.1%       | 0.170       
| 77.2%       | -9.1%         | 33.7%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=90.0,r=1000000.0   | 0.171       | 262.9%      | 0.166       
| 258.5%      | +3.0%         | 44.0%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=-179.0,r=100.0       | 0.169       | 99.0%       | 0.176       
| 79.4%       | -4.5%         | 57.0%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=-179.0,r=1000.0      | 0.175       | 172.4%      | 0.178       
| 82.9%       | -2.0%         | 155.9%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=-179.0,r=10000.0     | 0.165       | 88.3%       | 0.173       
| 82.0%       | -4.9%         | 35.2%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=-179.0,r=100000.0    | 0.159       | 92.4%       | 0.172       
| 83.4%       | -8.2%         | 34.7%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=-179.0,r=1000000.0   | 0.187       | 78.3%       | 0.200       
| 71.9%       | -6.7%         | 28.8%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=-90.0,r=100.0        | 0.160       | 108.6%      | 0.180       
| 162.9%      | -12.6%        | 132.7%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=-90.0,r=1000.0       | 0.174       | 183.7%      | 0.176       
| 73.0%       | -1.4%         | 165.5%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=-90.0,r=10000.0      | 0.167       | 104.1%      | 0.179       
| 76.9%       | -6.9%         | 64.4%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=-90.0,r=100000.0     | 0.163       | 90.0%       | 0.176       
| 83.5%       | -7.7%         | 44.9%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=-90.0,r=1000000.0    | 0.159       | 90.2%       | 0.175       
| 86.6%       | -10.0%        | 48.3%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=0.0,r=100.0          | 42.011      | 3113.1%     | 41.662      
| 3083.3%     | +0.8%         | 29.9%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=0.0,r=1000.0         | 0.184       | 119.4%      | 0.205       
| 107.7%      | -11.5%        | 54.8%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=0.0,r=10000.0        | 0.189       | 88.3%       | 0.202       
| 80.2%       | -7.0%         | 36.9%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=0.0,r=100000.0       | 0.209       | 83.3%       | 0.209       
| 78.7%       | -0.3%         | 56.7%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=0.0,r=1000000.0      | 0.288       | 110.9%      | 0.253       
| 50.3%       | +12.1%        | 97.9%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=179.0,r=100.0        | 0.166       | 100.2%      | 0.176       
| 84.6%       | -5.9%         | 44.9%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=179.0,r=1000.0       | 0.167       | 103.7%      | 0.177       
| 82.0%       | -5.9%         | 47.1%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=179.0,r=10000.0      | 0.166       | 97.0%       | 0.175       
| 82.9%       | -5.4%         | 32.5%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=179.0,r=100000.0     | 0.167       | 98.9%       | 0.174       
| 80.7%       | -4.0%         | 47.2%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=179.0,r=1000000.0    | 0.187       | 98.5%       | 0.204       
| 87.4%       | -9.3%         | 44.9%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=90.0,r=100.0         | 0.164       | 91.0%       | 0.173       
| 80.5%       | -5.4%         | 36.6%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=90.0,r=1000.0        | 0.169       | 103.2%      | 0.175       
| 78.6%       | -3.6%         | 63.0%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=90.0,r=10000.0       | 0.164       | 87.7%       | 0.175       
| 84.3%       | -6.7%         | 31.0%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=90.0,r=100000.0      | 0.165       | 92.4%       | 0.177       
| 79.8%       | -7.2%         | 34.9%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=90.0,r=1000000.0     | 0.166       | 106.9%      | 0.175       
| 91.2%       | -5.5%         | 47.3%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=-179.0,r=100.0      | 0.170       | 81.5%       | 0.181       
| 77.4%       | -6.5%         | 33.7%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=-179.0,r=1000.0     | 0.164       | 85.4%       | 0.177       
| 87.7%       | -7.9%         | 45.3%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=-179.0,r=10000.0    | 0.157       | 89.6%       | 0.174       
| 99.7%       | -10.9%        | 66.8%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=-179.0,r=100000.0   | 0.185       | 77.1%       | 0.200       
| 103.0%      | -8.3%         | 80.3%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=-179.0,r=1000000.0  | 0.179       | 81.3%       | 0.192       
| 122.6%      | -7.3%         | 103.7%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=-90.0,r=100.0       | 0.159       | 87.4%       | 0.170       
| 79.3%       | -7.0%         | 31.0%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=-90.0,r=1000.0      | 0.163       | 87.0%       | 0.176       
| 79.4%       | -7.7%         | 31.8%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=-90.0,r=10000.0     | 0.164       | 90.3%       | 0.172       
| 78.7%       | -5.0%         | 45.5%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=-90.0,r=100000.0    | 0.162       | 100.6%      | 0.179       
| 183.7%      | -11.0%        | 174.6%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=-90.0,r=1000000.0   | 0.165       | 152.1%      | 0.178       
| 165.8%      | -7.8%         | 194.8%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=0.0,r=100.0         | 0.194       | 85.5%       | 0.190       
| 67.1%       | +2.0%         | 46.5%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=0.0,r=1000.0        | 0.171       | 84.9%       | 0.178       
| 72.2%       | -3.9%         | 32.4%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=0.0,r=10000.0       | 0.197       | 79.0%       | 0.199       
| 101.2%      | -0.9%         | 63.3%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=0.0,r=100000.0      | 0.193       | 77.6%       | 0.200       
| 75.7%       | -3.5%         | 45.9%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=0.0,r=1000000.0     | 0.264       | 112.1%      | 0.250       
| 95.2%       | +5.4%         | 32.5%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=179.0,r=100.0       | 0.159       | 92.5%       | 0.171       
| 90.1%       | -7.8%         | 46.5%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=179.0,r=1000.0      | 0.168       | 119.2%      | 0.177       
| 100.1%      | -5.6%         | 54.7%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=179.0,r=10000.0     | 0.165       | 92.0%       | 0.172       
| 78.5%       | -4.4%         | 42.7%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=179.0,r=100000.0    | 0.184       | 89.9%       | 0.200       
| 74.5%       | -8.8%         | 51.6%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=179.0,r=1000000.0   | 0.182       | 84.8%       | 0.194       
| 69.5%       | -6.1%         | 30.5%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=90.0,r=100.0        | 0.169       | 87.0%       | 0.183       
| 73.1%       | -8.3%         | 35.4%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=90.0,r=1000.0       | 0.167       | 93.3%       | 0.179       
| 75.2%       | -7.4%         | 45.0%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=90.0,r=10000.0      | 0.165       | 104.0%      | 0.181       
| 131.1%      | -9.8%         | 56.3%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=90.0,r=100000.0     | 0.161       | 90.6%       | 0.172       
| 80.6%       | -6.7%         | 27.1%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=90.0,r=1000000.0    | 0.160       | 87.7%       | 0.170       
| 80.6%       | -6.0%         | 29.2%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=-179.0,r=100.0      | 0.170       | 85.4%       | 0.180       
| 144.6%      | -5.8%         | 127.6%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=-179.0,r=1000.0     | 0.170       | 102.0%      | 0.178       
| 100.3%      | -4.7%         | 68.1%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=-179.0,r=10000.0    | 0.181       | 76.8%       | 0.197       
| 90.5%       | -8.9%         | 65.4%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=-179.0,r=100000.0   | 0.177       | 84.4%       | 0.191       
| 76.7%       | -8.2%         | 27.1%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=-179.0,r=1000000.0  | 0.160       | 73.9%       | 0.162       
| 81.9%       | -0.8%         | 68.5%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=-90.0,r=100.0       | 0.162       | 85.8%       | 0.172       
| 82.7%       | -6.3%         | 31.7%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=-90.0,r=1000.0      | 0.165       | 86.7%       | 0.176       
| 78.4%       | -6.9%         | 36.5%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=-90.0,r=10000.0     | 0.167       | 90.9%       | 0.179       
| 118.7%      | -7.6%         | 81.6%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=-90.0,r=100000.0    | 0.157       | 87.4%       | 0.175       
| 90.4%       | -11.5%        | 48.3%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=-90.0,r=1000000.0   | 0.158       | 96.9%       | 0.159       
| 69.5%       | -0.8%         | 59.9%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=0.0,r=100.0         | 0.190       | 77.2%       | 0.237       
| 68.1%       | -24.2%        | 38.6%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=0.0,r=1000.0        | 0.196       | 70.9%       | 0.204       
| 76.0%       | -3.9%         | 55.0%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=0.0,r=10000.0       | 0.244       | 57.9%       | 0.246       
| 52.2%       | -1.0%         | 30.9%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=0.0,r=100000.0      | 0.293       | 97.2%       | 0.269       
| 92.1%       | +8.3%         | 118.3%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=0.0,r=1000000.0     | 0.303       | 115.9%      | 0.302       
| 114.9%      | +0.2%         | 30.1%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=179.0,r=100.0       | 0.167       | 84.7%       | 0.174       
| 82.5%       | -4.6%         | 35.8%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=179.0,r=1000.0      | 0.169       | 93.6%       | 0.181       
| 121.7%      | -7.2%         | 109.4%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=179.0,r=10000.0     | 0.185       | 73.4%       | 0.205       
| 156.6%      | -11.0%        | 141.7%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=179.0,r=100000.0    | 0.179       | 77.1%       | 0.198       
| 93.1%       | -10.7%        | 65.1%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=179.0,r=1000000.0   | 0.177       | 61.6%       | 0.187       
| 65.6%       | -5.6%         | 34.6%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=90.0,r=100.0        | 0.169       | 84.9%       | 0.178       
| 76.4%       | -5.5%         | 32.6%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=90.0,r=1000.0       | 0.165       | 87.6%       | 0.178       
| 76.4%       | -7.5%         | 30.7%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=90.0,r=10000.0      | 0.167       | 93.8%       | 0.178       
| 76.6%       | -6.4%         | 56.9%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=90.0,r=100000.0     | 0.163       | 82.4%       | 0.182       
| 143.1%      | -11.7%        | 126.5%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=90.0,r=1000000.0    | 0.158       | 63.3%       | 0.160       
| 68.0%       | -1.2%         | 33.5%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   
   Summary:
   Total test cases: 128
   Improved: 14 (10.9%)
   Degraded: 114 (89.1%)
   Significant changes: 0 (0.0%)
   ```


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