modexp performance against gas

baseLength_bytes,modLength_bytes,expLength_bytes,cost_gas,time_sec_per_100ops
32,32,32,1638,0.042452
32,32,33,1689,0.049439
32,32,34,1740,0.057592
32,32,35,1792,0.039823
32,32,36,1843,0.04482
32,32,37,1894,0.057416
32,32,38,1945,0.050302
32,32,39,1996,0.052216
32,32,40,2048,0.052103
32,32,41,2099,0.050976
32,32,42,2150,0.067391
32,32,43,2201,0.065099
32,32,44,2252,0.062773
32,32,45,2304,0.061932
32,32,46,2355,0.057157
32,32,47,2406,0.063319
32,32,48,2457,0.06132
32,32,49,2508,0.062031
32,32,50,2560,0.066314
32,32,51,2611,0.075945
32,32,52,2662,0.10915
32,32,53,2713,0.101357
32,32,54,2764,0.10942
32,32,55,2816,0.099599
32,32,56,2867,0.107327
32,32,57,2918,0.110947
32,32,58,2969,0.101866
32,32,59,3020,0.096131
32,32,60,3072,0.104521
32,32,61,3123,0.11127
32,32,62,3174,0.113862
32,32,63,3225,0.112601
32,32,64,3276,0.11793
32,32,65,3328,0.126815
32,32,66,3379,0.097746
32,32,67,3430,0.106564
32,32,68,3481,0.096756
32,32,69,3532,0.101904
32,32,70,3584,0.089614
32,32,71,3635,0.081431
32,32,72,3686,0.078608
32,32,73,3737,0.080675
32,32,74,3788,0.081667
32,32,75,3840,0.084489
32,32,76,3891,0.10707
32,32,77,3942,0.1496
32,32,78,3993,0.111237
32,32,79,4044,0.103796
32,32,80,4096,0.10701
32,32,81,4147,0.10252
32,32,82,4198,0.107742
32,32,83,4249,0.105434
32,32,84,4300,0.157894
32,32,85,4352,0.113541
32,32,86,4403,0.108155
32,32,87,4454,0.113341
32,32,88,4505,0.111089
32,32,89,4556,0.123818
32,32,90,4608,0.113507
32,32,91,4659,0.112118
32,32,92,4710,0.131236
32,32,93,4761,0.12425
32,32,94,4812,0.121785
32,32,95,4864,0.109275
32,32,96,4915,0.110924
32,32,97,4966,0.110919
32,32,98,5017,0.108412
32,32,99,5068,0.112504
32,32,100,5120,0.127141
32,32,101,5171,0.110746
32,32,102,5222,0.115043
32,32,103,5273,0.115342
32,32,104,5324,0.137286
32,32,105,5376,0.131648
32,32,106,5427,0.139323
32,32,107,5478,0.138371
32,32,108,5529,0.150529
32,32,109,5580,0.140481
32,32,110,5632,0.143673
32,32,111,5683,0.149337
32,32,112,5734,0.158339
32,32,113,5785,0.153593
32,32,114,5836,0.15239
32,32,115,5888,0.150064
32,32,116,5939,0.160261
32,32,117,5990,0.157254
32,32,118,6041,0.143269
32,32,119,6092,0.139067
32,32,120,6144,0.134182
32,32,121,6195,0.134933
32,32,122,6246,0.135172
32,32,123,6297,0.135304
32,32,124,6348,0.135073
32,32,125,6400,0.142918
32,32,126,6451,0.161061
32,32,127,6502,0.172472
32,32,128,6553,0.164893
64,64,32,6553,0.117811
64,64,33,6758,0.110735
64,64,34,6963,0.109258
64,64,35,7168,0.108736
64,64,36,7372,0.121331
64,64,37,7577,0.115878
64,64,38,7782,0.124499
64,64,39,7987,0.129959
64,64,40,8192,0.122739
64,64,41,8396,0.12881
64,64,42,8601,0.132625
64,64,43,8806,0.133121
64,64,44,9011,0.125464
64,64,45,9216,0.12527
64,64,46,9420,0.133332
64,64,47,9625,0.132098
64,64,48,9830,0.136283
64,64,49,10035,0.151243
64,64,50,10240,0.141241
64,64,51,10444,0.149761
64,64,52,10649,0.158221
64,64,53,10854,0.148179
64,64,54,11059,0.150182
64,64,55,11264,0.151986
64,64,56,11468,0.151479
64,64,57,11673,0.166191
64,64,58,11878,0.179658
64,64,59,12083,0.195431
64,64,60,12288,0.179137
64,64,61,12492,0.164375
64,64,62,12697,0.171853
64,64,63,12902,0.175116
64,64,64,13107,0.169599
64,64,65,13312,0.186085
64,64,66,13516,0.211903
64,64,67,13721,0.208706
64,64,68,13926,0.215464
64,64,69,14131,0.217558
64,64,70,14336,0.199628
64,64,71,14540,0.202603
64,64,72,14745,0.230021
64,64,73,14950,0.214591
64,64,74,15155,0.217879
64,64,75,15360,0.207887
64,64,76,15564,0.217931
64,64,77,15769,0.290321
64,64,78,15974,0.402737
64,64,79,16179,0.227509
64,64,80,16384,0.240216
64,64,81,16588,0.23389
64,64,82,16793,0.261091
64,64,83,16998,0.267915
64,64,84,17203,0.28594
64,64,85,17408,0.23926
64,64,86,17612,0.246491
64,64,87,17817,0.280657
64,64,88,18022,0.304272
64,64,89,18227,0.307393
64,64,90,18432,0.297606
64,64,91,18636,0.29488
64,64,92,18841,0.318027
64,64,93,19046,0.319759
64,64,94,19251,0.282137
64,64,95,19456,0.28391
64,64,96,19660,0.282224
64,64,97,19865,0.309493
64,64,98,20070,0.332035
64,64,99,20275,0.31924
64,64,100,20480,0.311935
64,64,101,20684,0.336558
64,64,102,20889,0.334527
64,64,103,21094,0.33555
64,64,104,21299,0.291463
64,64,105,21504,0.305292
64,64,106,21708,0.298422
64,64,107,21913,0.342016
64,64,108,22118,0.31781
64,64,109,22323,0.30861
64,64,110,22528,0.313285
64,64,111,22732,0.377948
64,64,112,22937,0.400752
64,64,113,23142,0.374978
64,64,114,23347,0.370807
64,64,115,23552,0.361981
64,64,116,23756,0.362946
64,64,117,23961,0.341275
64,64,118,24166,0.334266
64,64,119,24371,0.416596
64,64,120,24576,0.460295
64,64,121,24780,0.425147
64,64,122,24985,0.449306
64,64,123,25190,0.413864
64,64,124,25395,0.419448
64,64,125,25600,0.368177
64,64,126,25804,0.352279
64,64,127,26009,0.418059
64,64,128,26214,0.405744
128,128,32,26214,0.300937
128,128,33,27033,0.369664
128,128,34,27852,0.406995
128,128,35,28672,0.41919
128,128,36,29491,0.415198
128,128,37,30310,0.370308
128,128,38,31129,0.30332
128,128,39,31948,0.334166
128,128,40,32768,0.326796
128,128,41,33587,0.340268
128,128,42,34406,0.362386
128,128,43,35225,0.355717
128,128,44,36044,0.361098
128,128,45,36864,0.351411
128,128,46,37683,0.406537
128,128,47,38502,0.385922
128,128,48,39321,0.3876
128,128,49,40140,0.434591
128,128,50,40960,0.40643
128,128,51,41779,0.426879
128,128,52,42598,0.468923
128,128,53,43417,0.431292
128,128,54,44236,0.490765
128,128,55,45056,0.442834
128,128,56,45875,0.454054
128,128,57,46694,0.511991
128,128,58,47513,0.562088
128,128,59,48332,0.578687
128,128,60,49152,0.567873
128,128,61,49971,0.522302
128,128,62,50790,0.537036
128,128,63,51609,0.593866
128,128,64,52428,0.61834
128,128,65,53248,0.612773
128,128,66,54067,0.564469
128,128,67,54886,0.5798
128,128,68,55705,0.591075
128,128,69,56524,0.576877
128,128,70,57344,0.608089
128,128,71,58163,0.567949
128,128,72,58982,0.610862
128,128,73,59801,0.591585
128,128,74,60620,0.659516
128,128,75,61440,0.622024
128,128,76,62259,0.686005
128,128,77,63078,0.677778
128,128,78,63897,0.659747
128,128,79,64716,0.789467
128,128,80,65536,0.670971
128,128,81,66355,0.744958
128,128,82,67174,0.710213
128,128,83,67993,0.726615
128,128,84,68812,0.679898
128,128,85,69632,0.737738
128,128,86,70451,0.790076
128,128,87,71270,0.702465
128,128,88,72089,0.733661
128,128,89,72908,0.760943
128,128,90,73728,0.742492
128,128,91,74547,0.760243
128,128,92,75366,0.748089
128,128,93,76185,0.791323
128,128,94,77004,0.786828
128,128,95,77824,0.753306
128,128,96,78643,0.884369
128,128,97,79462,0.836558
128,128,98,80281,0.815127
128,128,99,81100,0.850144
128,128,100,81920,0.875316
128,128,101,82739,0.860788
128,128,102,83558,0.821502
128,128,103,84377,0.854479
128,128,104,85196,0.879267
128,128,105,86016,1.04449
128,128,106,86835,1.04943
128,128,107,87654,1.03518
128,128,108,88473,0.904586
128,128,109,89292,1.05737
128,128,110,90112,1.08989
128,128,111,90931,0.913938
128,128,112,91750,0.974769
128,128,113,92569,1.0064
128,128,114,93388,1.10672
128,128,115,94208,1.00786
128,128,116,95027,0.992935
128,128,117,95846,1.01626
128,128,118,96665,1.04034
128,128,119,97484,1.12148
128,128,120,98304,1.04252
128,128,121,99123,1.01402
128,128,122,99942,1.01138
128,128,123,100761,1.06274
128,128,124,101580,1.18631
128,128,125,102400,1.12784
128,128,126,103219,1.0539
128,128,127,104038,1.08592
128,128,128,104857,1.09399
32,64,32,6553,0.088927
32,64,33,6758,0.091196
32,64,34,6963,0.091041
32,64,35,7168,0.092624
32,64,36,7372,0.09877
32,64,37,7577,0.123439
32,64,38,7782,0.130113
32,64,39,7987,0.107129
32,64,40,8192,0.121183
32,64,41,8396,0.139952
32,64,42,8601,0.125361
32,64,43,8806,0.117728
32,64,44,9011,0.122913
32,64,45,9216,0.120784
32,64,46,9420,0.123714
32,64,47,9625,0.131463
32,64,48,9830,0.137536
32,64,49,10035,0.13619
32,64,50,10240,0.160503
32,64,51,10444,0.150426
32,64,52,10649,0.14388
32,64,53,10854,0.142088
32,64,54,11059,0.148949
32,64,55,11264,0.15608
32,64,56,11468,0.161578
32,64,57,11673,0.164682
32,64,58,11878,0.196951
32,64,59,12083,0.187416
32,64,60,12288,0.192542
32,64,61,12492,0.210145
32,64,62,12697,0.196369
32,64,63,12902,0.200967
32,64,64,13107,0.208447
32,64,65,13312,0.207198
32,64,66,13516,0.227069
32,64,67,13721,0.219382
32,64,68,13926,0.192458
32,64,69,14131,0.190913
32,64,70,14336,0.192617
32,64,71,14540,0.198826
32,64,72,14745,0.197655
32,64,73,14950,0.240908
32,64,74,15155,0.242333
32,64,75,15360,0.234976
32,64,76,15564,0.253967
32,64,77,15769,0.249299
32,64,78,15974,0.256314
32,64,79,16179,0.285019
32,64,80,16384,0.293321
32,64,81,16588,0.224999
32,64,82,16793,0.231383
32,64,83,16998,0.235251
32,64,84,17203,0.28766
32,64,85,17408,0.331164
32,64,86,17612,0.358966
32,64,87,17817,0.339301
32,64,88,18022,0.339065
32,64,89,18227,0.345682
32,64,90,18432,0.287563
32,64,91,18636,0.298171
32,64,92,18841,0.259195
32,64,93,19046,0.25753
32,64,94,19251,0.260006
32,64,95,19456,0.347459
32,64,96,19660,0.290626
32,64,97,19865,0.275714
32,64,98,20070,0.272581
32,64,99,20275,0.283512
32,64,100,20480,0.316992
32,64,101,20684,0.299314
32,64,102,20889,0.341646
32,64,103,21094,0.359443
32,64,104,21299,0.31442
32,64,105,21504,0.328618
32,64,106,21708,0.340089
32,64,107,21913,0.329813
32,64,108,22118,0.323941
32,64,109,22323,0.340888
32,64,110,22528,0.342877
32,64,111,22732,0.333442
32,64,112,22937,0.317914
32,64,113,23142,0.312485
32,64,114,23347,0.352002
32,64,115,23552,0.3351
32,64,116,23756,0.33614
32,64,117,23961,0.396257
32,64,118,24166,0.365171
32,64,119,24371,0.331728
32,64,120,24576,0.347633
32,64,121,24780,0.355392
32,64,122,24985,0.35978
32,64,123,25190,0.335094
32,64,124,25395,0.348693
32,64,125,25600,0.382094
32,64,126,25804,0.351962
32,64,127,26009,0.353757
32,64,128,26214,0.390767
32,128,32,26214,0.266517
32,128,33,27033,0.264527
32,128,34,27852,0.280871
32,128,35,28672,0.303291
32,128,36,29491,0.317573
32,128,37,30310,0.308865
32,128,38,31129,0.316348
32,128,39,31948,0.349711
32,128,40,32768,0.319382
32,128,41,33587,0.3264
32,128,42,34406,0.335374
32,128,43,35225,0.386211
32,128,44,36044,0.354665
32,128,45,36864,0.368551
32,128,46,37683,0.39642
32,128,47,38502,0.378322
32,128,48,39321,0.389116
32,128,49,40140,0.40774
32,128,50,40960,0.414048
32,128,51,41779,0.421297
32,128,52,42598,0.447666
32,128,53,43417,0.431628
32,128,54,44236,0.42892
32,128,55,45056,0.478761
32,128,56,45875,0.472657
32,128,57,46694,0.483081
32,128,58,47513,0.480933
32,128,59,48332,0.486864
32,128,60,49152,0.513899
32,128,61,49971,0.487374
32,128,62,50790,0.515664
32,128,63,51609,0.513629
32,128,64,52428,0.509429
32,128,65,53248,0.558895
32,128,66,54067,0.522016
32,128,67,54886,0.571536
32,128,68,55705,0.567198
32,128,69,56524,0.677015
32,128,70,57344,0.704772
32,128,71,58163,0.695144
32,128,72,58982,0.6328
32,128,73,59801,0.600322
32,128,74,60620,0.712696
32,128,75,61440,0.711909
32,128,76,62259,0.711253
32,128,77,63078,0.622932
32,128,78,63897,0.660588
32,128,79,64716,0.654271
32,128,80,65536,0.670086
32,128,81,66355,0.669922
32,128,82,67174,0.690798
32,128,83,67993,0.671179
32,128,84,68812,0.719709
32,128,85,69632,0.714459
32,128,86,70451,0.695592
32,128,87,71270,0.731867
32,128,88,72089,0.724395
32,128,89,72908,0.773936
32,128,90,73728,0.745962
32,128,91,74547,0.746762
32,128,92,75366,0.76674
32,128,93,76185,0.740422
32,128,94,77004,0.782479
32,128,95,77824,0.77673
32,128,96,78643,0.762173
32,128,97,79462,0.809074
32,128,98,80281,0.830115
32,128,99,81100,0.863482
32,128,100,81920,0.826173
32,128,101,82739,0.856302
32,128,102,83558,0.858467
32,128,103,84377,0.891912
32,128,104,85196,0.922525
32,128,105,86016,0.886479
32,128,106,86835,0.846498
32,128,107,87654,0.933769
32,128,108,88473,0.89473
32,128,109,89292,0.917048
32,128,110,90112,0.906483
32,128,111,90931,0.942053
32,128,112,91750,1.02367
32,128,113,92569,0.984858
32,128,114,93388,0.976801
32,128,115,94208,1.11822
32,128,116,95027,0.974438
32,128,117,95846,1.00457
32,128,118,96665,1.03768
32,128,119,97484,1.01216
32,128,120,98304,0.992863
32,128,121,99123,1.07619
32,128,122,99942,1.01113
32,128,123,100761,1.0442
32,128,124,101580,1.04906
32,128,125,102400,1.03205
32,128,126,103219,1.05153
32,128,127,104038,1.08096
32,128,128,104857,1.06996
64,32,32,6553,0.038698
64,32,33,6758,0.040095
64,32,34,6963,0.04346
64,32,35,7168,0.040226
64,32,36,7372,0.038728
64,32,37,7577,0.03951
64,32,38,7782,0.040758
64,32,39,7987,0.042091
64,32,40,8192,0.042647
64,32,41,8396,0.043126
64,32,42,8601,0.046639
64,32,43,8806,0.046423
64,32,44,9011,0.047144
64,32,45,9216,0.047938
64,32,46,9420,0.050131
64,32,47,9625,0.051299
64,32,48,9830,0.052369
64,32,49,10035,0.052995
64,32,50,10240,0.052227
64,32,51,10444,0.055154
64,32,52,10649,0.054621
64,32,53,10854,0.058102
64,32,54,11059,0.057304
64,32,55,11264,0.069837
64,32,56,11468,0.073398
64,32,57,11673,0.071223
64,32,58,11878,0.069943
64,32,59,12083,0.064481
64,32,60,12288,0.063808
64,32,61,12492,0.065513
64,32,62,12697,0.065997
64,32,63,12902,0.067671
64,32,64,13107,0.068683
64,32,65,13312,0.070266
64,32,66,13516,0.07151
64,32,67,13721,0.069727
64,32,68,13926,0.075413
64,32,69,14131,0.073382
64,32,70,14336,0.0752
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