/Benchmarks Secret
Last active
April 16, 2018 17:35
Revisions
-
eggrobin revised this gist
Apr 16, 2018 . 1 changed file with 20 additions and 1 deletion.There are no files selected for viewing
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -1,3 +1,4 @@ Skylake (tintoretto): Run on (4 X 2808 MHz CPU s) 04/15/18 00:21:19 ----------------------------------------------------------------- @@ -13,4 +14,22 @@ BM_KahanCbrt 32508 ns 32785 ns 22400 +1.000000000000 BM_KahanNoDivCbrt 36240 ns 36098 ns 19478 +1.00000000000000000e+00; ∛2 = +1.25992104989487297e+00 BM_EggCbrt 31269 ns 31390 ns 22400 +1.00000000000000000e+00; ∛2 = +1.25992104989487319e+00 BM_EggHalleyCbrt 30532 ns 30483 ns 23579 +1.00000000000000000e+00; ∛2 = +1.25992104989487319e+00 BM_MicrosoftCbrt 61004 ns 61384 ns 11200 +1.00000000000000000e+00; ∛2 = +1.25992104989487297e+00 Sandy bridge (bellini): Run on (8 X 2672 MHz CPU s) 04/16/18 19:34:11 ----------------------------------------------------------------- Benchmark Time CPU Iterations ----------------------------------------------------------------- BM_AtlasCbrt 29419 ns 29725 ns 23617 +1.00000000000000000e+00; ∛2 = +1.25992104989487319e+00 BM_CephesCbrt 91855 ns 91778 ns 7479 +1.00000000000000000e+00; ∛2 = +1.25992104989487319e+00 BM_FnlibCbrt 115154 ns 114385 ns 6410 +1.00000000000000000e+00; ∛2 = +1.25992104989487319e+00 BM_GlibcCbrt 93547 ns 93863 ns 7479 +1.00000000000000000e+00; ∛2 = +1.25992104989487341e+00 BM_SunCbrt 57591 ns 57016 ns 11218 +1.00000000000000000e+00; ∛2 = +1.25992104989487319e+00 BM_HouseholderOrder10Cbrt 35982 ns 35948 ns 20396 +1.00000000000000000e+00; ∛2 = +1.25992104989487319e+00 BM_KahanCbrt 46162 ns 45370 ns 15473 +1.00000000000000000e+00; ∛2 = +1.25992104989487319e+00 BM_KahanNoDivCbrt 51208 ns 48672 ns 11218 +1.00000000000000000e+00; ∛2 = +1.25992104989487297e+00 BM_EggCbrt 48433 ns 47420 ns 14475 +1.00000000000000000e+00; ∛2 = +1.25992104989487319e+00 BM_EggHalleyCbrt 49010 ns 48498 ns 14475 +1.00000000000000000e+00; ∛2 = +1.25992104989487319e+00 BM_MicrosoftCbrt 87056 ns 85520 ns 7479 +1.00000000000000000e+00; ∛2 = +1.25992104989487297e+00 -
eggrobin revised this gist
Apr 15, 2018 . 1 changed file with 28 additions and 29 deletions.There are no files selected for viewing
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -1,63 +1,62 @@ Tested 1000000000 values in [1, 8[. Trickiest sample values: closest to ties : 1/2 + 8.17394E-10 ULPs, for 16^^400730AC7CD4E823 -1/2 - 9.28353E-10 ULPs, for 16^^3FF6DF0B48E84DCF closest to exact : 4.82551E-10 ULPs, for 16^^401ADB0D51316C07 -2.74149E-10 ULPs, for 16^^401F725DDC04267A Method atlas incorrect roundings : 80258792 (8.02588 %) unfaithful roundings : 0 (0 %) maximal error : 0.728111 ULPs, for 16^^401FACC2E36B306D Method cephes incorrect roundings : 85573996 (8.5574 %) unfaithful roundings : 0 (0 %) maximal error : 0.735158 ULPs, for 16^^4006A5ACB42905AB Method egg incorrect roundings : 9001 (0.0009001 %) unfaithful roundings : 0 (0 %) maximal error : 0.500099 ULPs, for 16^^401CE0915607ACFC Method egg_halley incorrect roundings : 5155 (0.0005155 %) unfaithful roundings : 0 (0 %) maximal error : 0.500055 ULPs, for 16^^3FF14E35E87EA5DF Method fnlib incorrect roundings : 260499512 (26.05 %) unfaithful roundings : 30778750 (3.07788 %) maximal error : 1.65078 ULPs, for 16^^400128FD6CF4B29D Method glibc incorrect roundings : 496271339 (49.6271 %) unfaithful roundings : 176784674 (17.6785 %) maximal error : 3.49198 ULPs, for 16^^4007E64AD5EE31FE Method householder_order_10 incorrect roundings : 17266868 (1.72669 %) unfaithful roundings : 0 (0 %) maximal error : 0.668423 ULPs, for 16^^400FAAEBF2CDC756 Method kahan incorrect roundings : 2004355 (0.200435 %) unfaithful roundings : 0 (0 %) maximal error : 0.597992 ULPs, for 16^^3FF19ECAA5A641DE Method kahan_no_div incorrect roundings : 569169664 (56.917 %) unfaithful roundings : 266401817 (26.6402 %) maximal error : 5.35296 ULPs, for 16^^401FE5772F642288 Method microsoft incorrect roundings : 302720376 (30.272 %) unfaithful roundings : 26685453 (2.66855 %) maximal error : 1.83989 ULPs, for 16^^4015749288E278C2 Method sun incorrect roundings : 83164169 (8.31642 %) unfaithful roundings : 0 (0 %) maximal error : 0.668413 ULPs, for 16^^3FF17856D73BCDF3 -
eggrobin revised this gist
Apr 14, 2018 . 1 changed file with 34 additions and 23 deletions.There are no files selected for viewing
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -1,52 +1,63 @@ Tested 100000000 values in [1, 8[. Trickiest sample values: closest to ties : 1/2 + 8.17394E-10 ULPs, for 16^^400730AC7CD4E823 -1/2 - 1.56327E-08 ULPs, for 16^^40177C9939961AC7 closest to exact : 7.38256E-09 ULPs, for 16^^40074B92C3475943 -6.13836E-09 ULPs, for 16^^3FF62D9EC6853830 Method atlas incorrect roundings : 8024940 (8.02494 %) unfaithful roundings : 0 (0 %) maximal error : 0.727795 ULPs, for 16^^401FACD86A5F1280 Method cephes incorrect roundings : 8555258 (8.55526 %) unfaithful roundings : 0 (0 %) maximal error : 0.73463 ULPs, for 16^^4006B9121DFA3C1A Method egg incorrect roundings : 854 (0.000854 %) unfaithful roundings : 0 (0 %) maximal error : 0.500077 ULPs, for 16^^401CEF4B05804067 Method egg_halley incorrect roundings : 528 (0.000528 %) unfaithful roundings : 0 (0 %) maximal error : 0.500031 ULPs, for 16^^3FF4535EAAA87EDA Method fnlib incorrect roundings : 26048848 (26.0488 %) unfaithful roundings : 3076299 (3.0763 %) maximal error : 1.64791 ULPs, for 16^^4001491885511E10 Method glibc incorrect roundings : 49626627 (49.6266 %) unfaithful roundings : 17676996 (17.677 %) maximal error : 3.47561 ULPs, for 16^^4007ADA8733AAF36 Method householder_order_10 incorrect roundings : 1728571 (1.72857 %) unfaithful roundings : 0 (0 %) maximal error : 0.668423 ULPs, for 16^^400FAAEBF2CDC756 Method kahan incorrect roundings : 199822 (0.199822 %) unfaithful roundings : 0 (0 %) maximal error : 0.597992 ULPs, for 16^^3FF19ECAA5A641DE Method kahan_no_div incorrect roundings : 56913671 (56.9137 %) unfaithful roundings : 26641091 (26.6411 %) maximal error : 5.15887 ULPs, for 16^^401FE641182D93D0 Method microsoft incorrect roundings : 30276437 (30.2764 %) unfaithful roundings : 2667207 (2.66721 %) maximal error : 1.82278 ULPs, for 16^^4016320973374662 Method sun incorrect roundings : 8319796 (8.3198 %) unfaithful roundings : 0 (0 %) maximal error : 0.668152 ULPs, for 16^^3FFD1233C0DBD57C -
eggrobin revised this gist
Apr 14, 2018 . 1 changed file with 12 additions and 10 deletions.There are no files selected for viewing
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -1,14 +1,16 @@ Run on (4 X 2808 MHz CPU s) 04/15/18 00:21:19 ----------------------------------------------------------------- Benchmark Time CPU Iterations ----------------------------------------------------------------- BM_AtlasCbrt 23203 ns 23019 ns 29867 +1.00000000000000000e+00; ∛2 = +1.25992104989487319e+00 BM_CephesCbrt 71982 ns 71498 ns 8960 +1.00000000000000000e+00; ∛2 = +1.25992104989487319e+00 BM_FnlibCbrt 81198 ns 80218 ns 8960 +1.00000000000000000e+00; ∛2 = +1.25992104989487319e+00 BM_GlibcCbrt 65066 ns 65569 ns 11200 +1.00000000000000000e+00; ∛2 = +1.25992104989487341e+00 BM_SunCbrt 44721 ns 44504 ns 15448 +1.00000000000000000e+00; ∛2 = +1.25992104989487319e+00 BM_HouseholderOrder10Cbrt 22035 ns 21973 ns 32000 +1.00000000000000000e+00; ∛2 = +1.25992104989487319e+00 BM_KahanCbrt 32508 ns 32785 ns 22400 +1.00000000000000000e+00; ∛2 = +1.25992104989487319e+00 BM_KahanNoDivCbrt 36240 ns 36098 ns 19478 +1.00000000000000000e+00; ∛2 = +1.25992104989487297e+00 BM_EggCbrt 31269 ns 31390 ns 22400 +1.00000000000000000e+00; ∛2 = +1.25992104989487319e+00 BM_EggHalleyCbrt 30532 ns 30483 ns 23579 +1.00000000000000000e+00; ∛2 = +1.25992104989487319e+00 BM_MicrosoftCbrt 61004 ns 61384 ns 11200 +1.00000000000000000e+00; ∛2 = +1.25992104989487297e+00 -
eggrobin revised this gist
Apr 13, 2018 . 1 changed file with 23 additions and 23 deletions.There are no files selected for viewing
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -1,52 +1,52 @@ Tested 1000000000 values in [1, 8[. Trickiest sample values: closest to ties : 1/2 + 8.17394E-10 ULPs, for 16^^400730AC7CD4E823 -1/2 - 9.28353E-10 ULPs, for 16^^3FF6DF0B48E84DCF closest to exact : 4.82551E-10 ULPs, for 16^^401ADB0D51316C07 -2.74149E-10 ULPs, for 16^^401F725DDC04267A Method atlas incorrect roundings : 80258792 (8.02588 %) unfaithful roundings : 0 (0 %) maximal error : 0.728111 ULPs, for 16^^401FACC2E36B306D Method cephes incorrect roundings : 85573996 (8.5574 %) unfaithful roundings : 0 (0 %) maximal error : 0.735158 ULPs, for 16^^4006A5ACB42905AB Method egg incorrect roundings : 9081 (0.0009081 %) unfaithful roundings : 0 (0 %) maximal error : 0.500099 ULPs, for 16^^401CE0915607ACFC Method glibc incorrect roundings : 496271339 (49.6271 %) unfaithful roundings : 176784674 (17.6785 %) maximal error : 3.49198 ULPs, for 16^^4007E64AD5EE31FE Method householder_order_10 incorrect roundings : 17266868 (1.72669 %) unfaithful roundings : 0 (0 %) maximal error : 0.668423 ULPs, for 16^^400FAAEBF2CDC756 Method kahan incorrect roundings : 2004355 (0.200435 %) unfaithful roundings : 0 (0 %) maximal error : 0.597992 ULPs, for 16^^3FF19ECAA5A641DE Method kahan_no_div incorrect roundings : 569169664 (56.917 %) unfaithful roundings : 266401817 (26.6402 %) maximal error : 5.35296 ULPs, for 16^^401FE5772F642288 Method microsoft incorrect roundings : 302720376 (30.272 %) unfaithful roundings : 26685453 (2.66855 %) maximal error : 1.83989 ULPs, for 16^^4015749288E278C2 Method sun incorrect roundings : 83164169 (8.31642 %) unfaithful roundings : 0 (0 %) maximal error : 0.668413 ULPs, for 16^^3FF17856D73BCDF3 -
eggrobin revised this gist
Apr 13, 2018 . 1 changed file with 52 additions and 0 deletions.There are no files selected for viewing
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -0,0 +1,52 @@ Tested 100000000 values in [1, 8[. Trickiest sample values: closest to ties : 1/2 + 8.17394E-10 ULPs, for 16^^400730AC7CD4E823 -1/2 - 1.56327E-08 ULPs, for 16^^40177C9939961AC7 closest to exact : 7.38256E-09 ULPs, for 16^^40074B92C3475943 -6.13836E-09 ULPs, for 16^^3FF62D9EC6853830 Method atlas incorrect roundings : 8024940 (8.02494 %) unfaithful roundings : 0 (0 %) maximal error : 0.727795 ULPs, for 16^^401FACD86A5F1280 Method cephes incorrect roundings : 8555258 (8.55526 %) unfaithful roundings : 0 (0 %) maximal error : 0.73463 ULPs, for 16^^4006B9121DFA3C1A Method egg incorrect roundings : 873 (0.000873 %) unfaithful roundings : 0 (0 %) maximal error : 0.500077 ULPs, for 16^^40060E9BB3F0D816 Method glibc incorrect roundings : 49626627 (49.6266 %) unfaithful roundings : 17676996 (17.677 %) maximal error : 3.47561 ULPs, for 16^^4007ADA8733AAF36 Method householder_order_10 incorrect roundings : 1728571 (1.72857 %) unfaithful roundings : 0 (0 %) maximal error : 0.668423 ULPs, for 16^^400FAAEBF2CDC756 Method kahan incorrect roundings : 199822 (0.199822 %) unfaithful roundings : 0 (0 %) maximal error : 0.597992 ULPs, for 16^^3FF19ECAA5A641DE Method kahan_no_div incorrect roundings : 56913671 (56.9137 %) unfaithful roundings : 26641091 (26.6411 %) maximal error : 5.15887 ULPs, for 16^^401FE641182D93D0 Method microsoft incorrect roundings : 30276437 (30.2764 %) unfaithful roundings : 2667207 (2.66721 %) maximal error : 1.82278 ULPs, for 16^^4016320973374662 Method sun incorrect roundings : 8319796 (8.3198 %) unfaithful roundings : 0 (0 %) maximal error : 0.668152 ULPs, for 16^^3FFD1233C0DBD57C -
eggrobin created this gist
Apr 13, 2018 .There are no files selected for viewing
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -0,0 +1,14 @@ Run on (4 X 2808 MHz CPU s) 04/13/18 14:35:47 ----------------------------------------------------------------- Benchmark Time CPU Iterations ----------------------------------------------------------------- BM_AtlasCbrt 24199 ns 24065 ns 29867 +1.00000000000000000e+00; ∛2 = +1.25992104989487319e+00 BM_CephesCbrt 72127 ns 71498 ns 8960 +1.00000000000000000e+00; ∛2 = +1.25992104989487319e+00 BM_GlibcCbrt 69186 ns 62779 ns 11200 +1.00000000000000000e+00; ∛2 = +1.25992104989487341e+00 BM_SunCbrt 46288 ns 44993 ns 14933 +1.00000000000000000e+00; ∛2 = +1.25992104989487319e+00 BM_HouseholderOrder10Cbrt 23000 ns 22949 ns 32000 +1.00000000000000000e+00; ∛2 = +1.25992104989487319e+00 BM_KahanCbrt 34022 ns 31459 ns 20364 +1.00000000000000000e+00; ∛2 = +1.25992104989487319e+00 BM_KahanNoDivCbrt 38635 ns 37493 ns 17920 +1.00000000000000000e+00; ∛2 = +1.25992104989487297e+00 BM_EggCbrt 32556 ns 32227 ns 21333 +1.00000000000000000e+00; ∛2 = +1.25992104989487319e+00 BM_MicrosoftCbrt 62982 ns 57813 ns 10000 +1.00000000000000000e+00; ∛2 = +1.25992104989487297e+00