jainankitk commented on PR #14516:
URL: https://github.com/apache/lucene/pull/14516#issuecomment-2816361569

   Performance comparison on laptop, for 1000 iterations (significant change is 
more than 5%):
   
   ```
   % 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                          | 0.118       | 136.7%      | 0.112       
| 118.8%      | +5.3%         | 133.3%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | Near dateline                    | 0.105       | 154.0%      | 0.101       
| 240.2%      | +4.0%         | 267.9%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | Near pole                        | 0.096       | 169.8%      | 0.110       
| 205.3%      | -14.7%        | 237.5%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | Regular Cases                    |             |             |             
|             |               |             |               |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=-179.0,r=100.0     | 0.088       | 102.3%      | 0.090       
| 329.1%      | -2.2%         | 327.3%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=-179.0,r=1000.0    | 0.085       | 135.9%      | 0.081       
| 166.8%      | +4.7%         | 86.1%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=-179.0,r=10000.0   | 0.081       | 154.8%      | 0.079       
| 86.1%       | +2.3%         | 99.9%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=-179.0,r=100000.0  | 0.095       | 87.9%       | 0.093       
| 63.7%       | +2.2%         | 69.1%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=-179.0,r=1000000.0 | 0.094       | 78.4%       | 0.092       
| 140.3%      | +1.5%         | 101.4%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=-90.0,r=100.0      | 0.092       | 406.0%      | 3.425       
| 114369.8%   | -3604.2%      | 114318.0%   | ✓             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=-90.0,r=1000.0     | 0.078       | 83.6%       | 0.080       
| 155.0%      | -2.1%         | 120.2%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=-90.0,r=10000.0    | 0.080       | 85.0%       | 0.080       
| 81.3%       | +0.3%         | 69.1%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=-90.0,r=100000.0   | 0.083       | 116.0%      | 0.087       
| 319.2%      | -4.5%         | 322.6%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=-90.0,r=1000000.0  | 0.083       | 85.8%       | 0.079       
| 77.9%       | +5.3%         | 74.2%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=0.0,r=100.0        | 0.102       | 82.7%       | 0.098       
| 72.7%       | +4.6%         | 57.3%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=0.0,r=1000.0       | 0.084       | 108.2%      | 0.086       
| 115.4%      | -2.5%         | 83.7%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=0.0,r=10000.0      | 0.090       | 92.3%       | 0.088       
| 93.4%       | +1.9%         | 81.3%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=0.0,r=100000.0     | 0.103       | 292.5%      | 0.095       
| 128.5%      | +7.8%         | 307.8%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=0.0,r=1000000.0    | 0.100       | 86.3%       | 0.108       
| 408.1%      | -7.9%         | 402.4%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=179.0,r=100.0      | 0.083       | 89.8%       | 0.086       
| 127.7%      | -3.9%         | 105.7%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=179.0,r=1000.0     | 0.083       | 98.1%       | 0.079       
| 86.6%       | +4.9%         | 73.2%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=179.0,r=10000.0    | 0.098       | 395.0%      | 0.080       
| 79.2%       | +17.9%        | 384.2%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=179.0,r=100000.0   | 0.099       | 108.1%      | 0.094       
| 74.0%       | +4.5%         | 78.5%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=179.0,r=1000000.0  | 0.094       | 102.5%      | 0.100       
| 148.4%      | -5.5%         | 160.0%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=90.0,r=100.0       | 0.089       | 106.2%      | 0.082       
| 125.3%      | +7.9%         | 86.8%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=90.0,r=1000.0      | 0.078       | 98.8%       | 0.077       
| 87.4%       | +1.3%         | 77.7%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=90.0,r=10000.0     | 0.083       | 99.0%       | 0.081       
| 82.1%       | +1.7%         | 75.5%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=90.0,r=100000.0    | 0.086       | 82.9%       | 0.085       
| 85.1%       | +1.4%         | 77.4%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-45.0,lon=90.0,r=1000000.0   | 0.084       | 79.9%       | 0.080       
| 75.8%       | +4.2%         | 70.9%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=-179.0,r=100.0     | 0.089       | 78.4%       | 0.084       
| 77.1%       | +5.9%         | 78.8%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=-179.0,r=1000.0    | 0.084       | 88.6%       | 0.077       
| 63.7%       | +9.1%         | 74.1%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=-179.0,r=10000.0   | 0.095       | 76.5%       | 0.090       
| 56.9%       | +5.4%         | 64.8%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=-179.0,r=100000.0  | 0.096       | 89.6%       | 0.092       
| 55.7%       | +4.5%         | 87.8%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=-179.0,r=1000000.0 | 0.061       | 239.6%      | 0.059       
| 320.4%      | +3.1%         | 153.7%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=-90.0,r=100.0      | 0.084       | 94.6%       | 0.081       
| 83.1%       | +3.6%         | 101.1%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=-90.0,r=1000.0     | 0.089       | 198.7%      | 0.076       
| 58.5%       | +14.9%        | 195.6%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=-90.0,r=10000.0    | 0.084       | 110.2%      | 0.074       
| 79.5%       | +12.4%        | 115.3%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=-90.0,r=100000.0   | 0.085       | 82.5%       | 0.079       
| 57.5%       | +6.6%         | 70.7%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=-90.0,r=1000000.0  | 0.057       | 106.1%      | 0.053       
| 124.4%      | +7.7%         | 116.2%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=0.0,r=100.0        | 0.084       | 94.9%       | 0.089       
| 64.2%       | -5.4%         | 77.9%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=0.0,r=1000.0       | 0.092       | 144.8%      | 0.084       
| 71.9%       | +8.0%         | 132.5%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=0.0,r=10000.0      | 0.088       | 121.8%      | 0.083       
| 89.6%       | +5.2%         | 104.4%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=0.0,r=100000.0     | 0.093       | 95.0%       | 0.088       
| 70.5%       | +5.1%         | 78.6%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=0.0,r=1000000.0    | 0.090       | 251.3%      | 0.091       
| 469.6%      | -1.6%         | 261.5%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=179.0,r=100.0      | 0.089       | 129.5%      | 0.082       
| 63.6%       | +7.3%         | 109.4%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=179.0,r=1000.0     | 0.087       | 186.1%      | 0.078       
| 61.4%       | +11.3%        | 179.6%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=179.0,r=10000.0    | 0.092       | 73.6%       | 0.089       
| 56.8%       | +3.3%         | 63.0%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=179.0,r=100000.0   | 0.095       | 75.6%       | 0.093       
| 56.9%       | +1.4%         | 66.5%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=179.0,r=1000000.0  | 0.059       | 111.4%      | 0.058       
| 213.3%      | +0.9%         | 202.1%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=90.0,r=100.0       | 0.092       | 183.5%      | 0.081       
| 62.6%       | +12.4%        | 183.6%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=90.0,r=1000.0      | 0.087       | 123.4%      | 0.079       
| 61.7%       | +9.3%         | 118.4%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=90.0,r=10000.0     | 0.081       | 78.7%       | 0.075       
| 64.3%       | +7.3%         | 76.1%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=90.0,r=100000.0    | 0.090       | 239.9%      | 0.084       
| 57.2%       | +7.1%         | 238.3%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=-89.0,lon=90.0,r=1000000.0   | 0.062       | 342.2%      | 0.059       
| 213.0%      | +4.6%         | 177.5%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=-179.0,r=100.0       | 0.092       | 158.5%      | 0.087       
| 159.6%      | +5.0%         | 169.7%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=-179.0,r=1000.0      | 0.081       | 123.2%      | 0.079       
| 97.7%       | +2.3%         | 83.5%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=-179.0,r=10000.0     | 0.087       | 111.3%      | 0.085       
| 115.8%      | +2.4%         | 72.4%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=-179.0,r=100000.0    | 0.090       | 110.3%      | 0.090       
| 187.9%      | -0.6%         | 177.9%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=-179.0,r=1000000.0   | 0.101       | 96.8%       | 0.095       
| 85.0%       | +6.6%         | 59.5%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=-90.0,r=100.0        | 0.103       | 480.3%      | 0.088       
| 214.1%      | +14.8%        | 279.7%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=-90.0,r=1000.0       | 0.090       | 259.8%      | 0.082       
| 102.9%      | +8.3%         | 236.3%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=-90.0,r=10000.0      | 0.090       | 106.6%      | 0.088       
| 126.4%      | +2.4%         | 90.5%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=-90.0,r=100000.0     | 0.094       | 112.4%      | 0.084       
| 92.1%       | +10.3%        | 74.1%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=-90.0,r=1000000.0    | 0.090       | 109.8%      | 0.084       
| 101.4%      | +6.8%         | 92.1%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=0.0,r=100.0          | 34.756      | 3127.1%     | 34.318      
| 3091.7%     | +1.3%         | 35.5%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=0.0,r=1000.0         | 0.096       | 146.9%      | 0.087       
| 140.9%      | +9.2%         | 120.5%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=0.0,r=10000.0        | 0.119       | 152.7%      | 0.107       
| 141.2%      | +10.2%        | 182.8%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=0.0,r=100000.0       | 0.213       | 121.7%      | 0.177       
| 130.7%      | +17.0%        | 166.7%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=0.0,r=1000000.0      | 0.196       | 152.6%      | 0.151       
| 151.5%      | +23.1%        | 208.2%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=179.0,r=100.0        | 0.111       | 156.6%      | 0.105       
| 111.3%      | +5.9%         | 148.1%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=179.0,r=1000.0       | 0.088       | 114.6%      | 0.096       
| 204.3%      | -8.7%         | 152.9%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=179.0,r=10000.0      | 0.093       | 109.8%      | 0.093       
| 126.4%      | +0.3%         | 91.5%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=179.0,r=100000.0     | 0.097       | 102.5%      | 0.123       
| 339.2%      | -26.8%        | 330.3%      | ✓             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=179.0,r=1000000.0    | 0.107       | 107.9%      | 0.102       
| 97.9%       | +4.9%         | 72.6%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=90.0,r=100.0         | 0.094       | 165.3%      | 0.084       
| 86.9%       | +10.0%        | 137.2%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=90.0,r=1000.0        | 0.095       | 372.9%      | 0.082       
| 89.8%       | +13.1%        | 363.1%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=90.0,r=10000.0       | 0.088       | 109.1%      | 0.084       
| 110.6%      | +4.6%         | 75.8%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=90.0,r=100000.0      | 0.092       | 142.7%      | 0.084       
| 93.0%       | +7.9%         | 94.1%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=0.0,lon=90.0,r=1000000.0     | 0.096       | 176.5%      | 0.083       
| 94.0%       | +13.1%        | 124.7%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=-179.0,r=100.0      | 0.088       | 124.2%      | 0.081       
| 90.5%       | +7.5%         | 72.4%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=-179.0,r=1000.0     | 0.082       | 117.8%      | 0.081       
| 109.3%      | +1.6%         | 86.5%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=-179.0,r=10000.0    | 0.082       | 102.6%      | 0.081       
| 96.2%       | +1.0%         | 68.6%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=-179.0,r=100000.0   | 0.102       | 94.7%       | 0.095       
| 99.4%       | +7.0%         | 94.0%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=-179.0,r=1000000.0  | 0.101       | 97.9%       | 0.096       
| 126.9%      | +5.5%         | 127.5%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=-90.0,r=100.0       | 0.091       | 249.9%      | 0.081       
| 89.7%       | +11.2%        | 240.7%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=-90.0,r=1000.0      | 0.082       | 105.1%      | 0.085       
| 242.7%      | -3.1%         | 227.6%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=-90.0,r=10000.0     | 0.082       | 109.9%      | 0.081       
| 94.3%       | +1.5%         | 75.1%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=-90.0,r=100000.0    | 0.088       | 129.7%      | 0.081       
| 85.9%       | +8.3%         | 96.7%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=-90.0,r=1000000.0   | 0.095       | 294.0%      | 0.082       
| 79.4%       | +13.1%        | 286.3%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=0.0,r=100.0         | 0.123       | 172.1%      | 0.120       
| 145.2%      | +2.6%         | 208.1%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=0.0,r=1000.0        | 0.090       | 141.1%      | 0.084       
| 92.1%       | +6.7%         | 118.8%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=0.0,r=10000.0       | 0.092       | 109.3%      | 0.088       
| 100.3%      | +4.2%         | 93.2%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=0.0,r=100000.0      | 0.129       | 166.3%      | 0.106       
| 129.9%      | +17.9%        | 183.7%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=0.0,r=1000000.0     | 0.139       | 116.5%      | 0.125       
| 190.4%      | +10.1%        | 208.1%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=179.0,r=100.0       | 0.087       | 107.1%      | 0.083       
| 91.2%       | +4.5%         | 68.5%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=179.0,r=1000.0      | 0.090       | 233.9%      | 0.084       
| 108.2%      | +6.9%         | 214.5%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=179.0,r=10000.0     | 0.082       | 114.7%      | 0.081       
| 114.8%      | +1.2%         | 69.1%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=179.0,r=100000.0    | 0.108       | 134.0%      | 0.096       
| 80.2%       | +11.7%        | 117.5%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=179.0,r=1000000.0   | 0.108       | 158.7%      | 0.093       
| 75.1%       | +13.5%        | 118.5%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=90.0,r=100.0        | 0.087       | 94.7%       | 0.083       
| 134.7%      | +5.0%         | 95.1%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=90.0,r=1000.0       | 0.096       | 470.6%      | 0.083       
| 111.7%      | +13.4%        | 471.5%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=90.0,r=10000.0      | 0.087       | 171.1%      | 0.089       
| 338.2%      | -1.9%         | 242.7%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=90.0,r=100000.0     | 0.090       | 101.5%      | 0.086       
| 108.9%      | +4.5%         | 82.6%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=45.0,lon=90.0,r=1000000.0    | 0.092       | 172.5%      | 0.082       
| 93.7%       | +10.8%        | 165.1%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=-179.0,r=100.0      | 0.093       | 145.5%      | 0.082       
| 97.5%       | +11.8%        | 88.3%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=-179.0,r=1000.0     | 0.091       | 130.0%      | 0.085       
| 126.0%      | +6.2%         | 99.4%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=-179.0,r=10000.0    | 0.097       | 94.7%       | 0.094       
| 130.3%      | +3.1%         | 93.4%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=-179.0,r=100000.0   | 0.099       | 113.7%      | 0.118       
| 504.1%      | -19.6%        | 501.7%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=-179.0,r=1000000.0  | 0.063       | 149.0%      | 0.061       
| 204.9%      | +2.9%         | 197.2%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=-90.0,r=100.0       | 0.089       | 105.9%      | 0.082       
| 87.3%       | +8.0%         | 84.0%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=-90.0,r=1000.0      | 0.085       | 97.4%       | 0.083       
| 133.4%      | +2.8%         | 94.7%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=-90.0,r=10000.0     | 0.082       | 102.1%      | 0.077       
| 90.7%       | +5.2%         | 75.6%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=-90.0,r=100000.0    | 0.088       | 94.5%       | 0.082       
| 75.9%       | +7.3%         | 67.3%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=-90.0,r=1000000.0   | 0.063       | 135.3%      | 0.095       
| 1940.6%     | -49.8%        | 1941.5%     | ✓             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=0.0,r=100.0         | 0.096       | 251.7%      | 0.121       
| 163.1%      | -27.2%        | 278.9%      | ✓             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=0.0,r=1000.0        | 0.127       | 123.0%      | 0.107       
| 96.0%       | +15.9%        | 132.6%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=0.0,r=10000.0       | 0.126       | 93.3%       | 0.117       
| 168.0%      | +7.5%         | 174.2%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=0.0,r=100000.0      | 0.142       | 135.9%      | 0.130       
| 186.9%      | +9.0%         | 219.1%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=0.0,r=1000000.0     | 0.133       | 225.4%      | 0.110       
| 251.0%      | +17.7%        | 252.7%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=179.0,r=100.0       | 0.092       | 100.2%      | 0.089       
| 132.7%      | +2.8%         | 123.8%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=179.0,r=1000.0      | 0.092       | 102.1%      | 0.082       
| 89.5%       | +10.8%        | 82.1%       | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=179.0,r=10000.0     | 0.109       | 204.8%      | 0.092       
| 71.1%       | +14.9%        | 190.8%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=179.0,r=100000.0    | 0.107       | 122.3%      | 0.099       
| 148.0%      | +6.9%         | 162.8%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=179.0,r=1000000.0   | 0.084       | 487.9%      | 0.057       
| 91.7%       | +32.6%        | 451.3%      | ✓             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=90.0,r=100.0        | 0.098       | 299.9%      | 0.088       
| 240.7%      | +9.6%         | 369.1%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=90.0,r=1000.0       | 0.102       | 308.6%      | 0.082       
| 75.5%       | +20.1%        | 299.5%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=90.0,r=10000.0      | 0.089       | 128.5%      | 0.076       
| 83.8%       | +14.4%        | 109.9%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=90.0,r=100000.0     | 0.103       | 314.1%      | 0.083       
| 85.7%       | +19.3%        | 314.0%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   | lat=89.0,lon=90.0,r=1000000.0    | 0.066       | 126.5%      | 0.058       
| 135.0%      | +11.1%        | 131.6%      | ✗             |
   
+----------------------------------+-------------+-------------+-------------+-------------+---------------+-------------+---------------+
   
   Summary:
   Total test cases: 128
   Improved: 109 (85.2%)
   Degraded: 19 (14.8%)
   Significant changes: 5 (3.9%)
   ```


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