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[/
Copyright 2011 - 2020 John Maddock.
Copyright 2013 - 2019 Paul A. Bristow.
Copyright 2013 Christopher Kormanyos.
Distributed under the Boost Software License, Version 1.0.
(See accompanying file LICENSE_1_0.txt or copy at
http://www.boost.org/LICENSE_1_0.txt).
]
[section:integer_performance Integer Algorithm Performance]
Note that these tests are carefully designed to test performance of the underlying algorithms
and not memory allocation or variable copying. As usual, performance results should be taken
with a healthy dose of scepticism, and real-world performance may vary widely depending upon the
specifics of the program. In each table relative times are given first, with the best performer
given a score of 1. Total actual times are given in brackets, measured in seconds for 500000
operations.
[table Operator %
[[Backend][128 Bits][256 Bits][512 Bits][1024 Bits][2048 Bits][4096 Bits][8192 Bits][16384 Bits]]
[[cpp_int][1.51155 (0.0481508s)][1.60666 (0.0825917s)][1.75956 (0.127209s)][1.87154 (0.171986s)][2.58143 (0.368469s)][[*1] (0.512768s)][1.42429 (1.03083s)][[*1] (1.96988s)]]
[[cpp_int(fixed)][[*1] (0.0318553s)][1.2913 (0.0663805s)][1.33672 (0.0966394s)][1.97924 (0.181883s)]]
[[gmp_int][1.4659 (0.0466966s)][[*1] (0.0514059s)][[*1] (0.0722958s)][[*1] (0.0918952s)][[*1] (0.142738s)][[*1] (0.24073s)][1.17701 (0.603534s)][[*1] (0.723753s)]]
[[tommath_int][27.46 (0.874748s)][20.1749 (1.03711s)][17.9774 (1.29969s)][19.0867 (1.75398s)][23.3789 (3.33706s)][26.6546 (6.41658s)][33.4553 (17.1548s)][70.788 (51.233s)]]
]
[table Operator %(int)
[[Backend][128 Bits][256 Bits][512 Bits][1024 Bits][2048 Bits][4096 Bits][8192 Bits][16384 Bits]]
[[cpp_int][[*1] (0.00790481s)][1.45288 (0.0215141s)][2.71488 (0.065874s)][4.05695 (0.1044s)][6.59285 (0.288068s)][3.58045 (0.429244s)][6.18417 (0.851447s)][[*1] (1.57951s)]]
[[cpp_int(fixed)][2.18748 (0.0172916s)][1.67119 (0.0247468s)][2.83861 (0.0688759s)][4.3186 (0.111133s)]]
[[gmp_int][1.50165 (0.0118703s)][[*1] (0.0148079s)][[*1] (0.024264s)][[*1] (0.0257336s)][[*1] (0.0436939s)][[*1] (0.0571251s)][[*1] (0.119886s)][[*1] (0.137682s)]]
[[tommath_int][68.9623 (0.545134s)][54.52 (0.807325s)][38.3573 (0.930702s)][53.0833 (1.36603s)][59.6958 (2.60834s)][103.597 (5.91797s)][133.648 (16.0225s)][392.812 (54.083s)]]
]
[table Operator &
[[Backend][128 Bits][256 Bits][512 Bits][1024 Bits][2048 Bits][4096 Bits][8192 Bits][16384 Bits]]
[[cpp_int][2.82137 (0.0101034s)][3.08842 (0.0128886s)][3.46566 (0.018172s)][2.55025 (0.0204051s)][2.97241 (0.0461406s)][[*1] (0.0440714s)][[*1] (0.0811524s)][[*1] (0.146531s)]]
[[cpp_int(fixed)][[*1] (0.00358104s)][1.5374 (0.00641591s)][1.70378 (0.0089337s)][2.40825 (0.019269s)]]
[[gmp_int][1.10071 (0.00394167s)][[*1] (0.00417321s)][[*1] (0.00524347s)][[*1] (0.00800121s)][[*1] (0.015523s)][1.04806 (0.0384586s)][2.0133 (0.0887291s)][1.38531 (0.112421s)]]
[[tommath_int][2.18066 (0.00780901s)][2.22528 (0.00928657s)][2.15567 (0.0113032s)][3.05906 (0.0244762s)][2.34741 (0.0364387s)][1.50551 (0.0552444s)][2.29355 (0.10108s)][3.0313 (0.245997s)]]
]
[table Operator &(int)
[[Backend][128 Bits][256 Bits][512 Bits][1024 Bits][2048 Bits][4096 Bits][8192 Bits][16384 Bits]]
[[cpp_int][3.24695 (0.0124861s)][1.81002 (0.0114113s)][2.11984 (0.0179186s)][2.56949 (0.0262296s)][3.62157 (0.063826s)][3.95427 (0.0593859s)][4.84754 (0.102968s)][[*1] (0.168385s)]]
[[cpp_int(fixed)][[*1] (0.0038455s)][[*1] (0.00630453s)][[*1] (0.00845281s)][2.20848 (0.0225444s)]]
[[gmp_int][3.87448 (0.0148993s)][1.50343 (0.00947844s)][1.59793 (0.013507s)][[*1] (0.0102081s)][[*1] (0.0176239s)][[*1] (0.0121449s)][[*1] (0.0150182s)][[*1] (0.0212413s)]]
[[tommath_int][25.1094 (0.0965583s)][15.7147 (0.0990734s)][9.65097 (0.0815778s)][8.5208 (0.0869813s)][5.74798 (0.101302s)][10.598 (0.128712s)][12.0534 (0.18102s)][13.0183 (0.276527s)]]
]
[table Operator *
[[Backend][128 Bits][256 Bits][512 Bits][1024 Bits][2048 Bits][4096 Bits][8192 Bits][16384 Bits]]
[[cpp_int][12.4201 (0.0145016s)][1.838 (0.0246772s)][2.10406 (0.0631704s)][2.22846 (0.224062s)][2.53789 (0.918685s)][[*1] (2.65154s)][[*1] (7.83314s)][[*1] (26.1836s)]]
[[cpp_int(fixed)][[*1] (0.00116759s)][1.76789 (0.0237359s)][1.58515 (0.047591s)][1.52628 (0.153461s)]]
[[gmp_int][4.80091 (0.00560549s)][[*1] (0.0134261s)][[*1] (0.0300231s)][[*1] (0.100546s)][[*1] (0.361988s)][[*1] (1.11701s)][2.08347 (5.52441s)][1.44767 (11.3398s)]]
[[tommath_int][16.9604 (0.0198027s)][2.43157 (0.0326465s)][2.82213 (0.0847288s)][1.67653 (0.168568s)][1.27293 (0.460786s)][1.41678 (1.58255s)][2.69181 (7.13744s)][3.30421 (25.8824s)]]
]
[table Operator *(int)
[[Backend][128 Bits][256 Bits][512 Bits][1024 Bits][2048 Bits][4096 Bits][8192 Bits][16384 Bits]]
[[cpp_int][10.9781 (0.0072726s)][1.52901 (0.00991594s)][3.35266 (0.0194072s)][2.30215 (0.0214459s)][1.95214 (0.047049s)][[*1] (0.0576663s)][[*1] (0.0955853s)][[*1] (0.167493s)]]
[[cpp_int(fixed)][[*1] (0.000662467s)][[*1] (0.00648519s)][1.52643 (0.0088359s)][2.26708 (0.0211192s)]]
[[gmp_int][7.14641 (0.00473426s)][1.74133 (0.0112929s)][[*1] (0.00578859s)][[*1] (0.00931559s)][[*1] (0.0241013s)][1.12075 (0.0477494s)][1.96831 (0.113505s)][1.44107 (0.137745s)]]
[[tommath_int][156.154 (0.103447s)][14.5292 (0.0942242s)][16.82 (0.0973642s)][11.9029 (0.110883s)][5.61803 (0.135402s)][4.61241 (0.196512s)][5.30415 (0.30587s)][5.73424 (0.548109s)]]
]
[table Operator *(unsigned long long)
[[Backend][128 Bits][256 Bits][512 Bits][1024 Bits][2048 Bits][4096 Bits][8192 Bits][16384 Bits]]
[[cpp_int][8.98335 (0.00669928s)][1.79861 (0.00820918s)][1.86924 (0.0119122s)][1.71773 (0.0175683s)][2.57826 (0.0539343s)][[*1] (0.0432066s)][[*1] (0.0813634s)][[*1] (0.159452s)]]
[[cpp_int(fixed)][[*1] (0.000745744s)][1.07211 (0.00489332s)][1.19888 (0.00764018s)][1.53618 (0.0157115s)]]
[[gmp_int][4.97741 (0.00371188s)][[*1] (0.00456418s)][[*1] (0.00637276s)][[*1] (0.0102277s)][[*1] (0.0209189s)][[*1] (0.0321931s)][2.05197 (0.0886586s)][1.59261 (0.12958s)]]
[[tommath_int][143.938 (0.107341s)][24.0751 (0.109883s)][16.9325 (0.107907s)][11.5473 (0.118102s)][8.08283 (0.169084s)][6.84808 (0.220461s)][8.37134 (0.361697s)][8.20104 (0.667264s)]]
]
[table Operator *=(unsigned long long)
[[Backend][128 Bits][256 Bits][512 Bits][1024 Bits][2048 Bits][4096 Bits][8192 Bits][16384 Bits]]
[[cpp_int][15.7803 (0.0131299s)][1.67116 (0.00790233s)][1.66661 (0.0119079s)][1.51408 (0.0203561s)][1.23815 (0.0373067s)][[*1] (0.0424701s)][[*1] (0.0946934s)][[*1] (0.177219s)]]
[[cpp_int(fixed)][[*1] (0.000832044s)][[*1] (0.00472864s)][[*1] (0.00714494s)][[*1] (0.0134446s)]]
[[gmp_int][6.73473 (0.00560359s)][1.81651 (0.00858963s)][1.36813 (0.00977523s)][1.00404 (0.0134989s)][[*1] (0.0301309s)][[*1] (0.0457849s)][2.56449 (0.108914s)][2.20384 (0.208689s)]]
[[tommath_int][115.266 (0.0959064s)][24.7701 (0.117129s)][15.9941 (0.114277s)][11.3798 (0.152996s)][5.69861 (0.171704s)][5.47882 (0.250847s)][10.6875 (0.453899s)][7.29439 (0.690731s)]]
]
[table Operator +
[[Backend][128 Bits][256 Bits][512 Bits][1024 Bits][2048 Bits][4096 Bits][8192 Bits][16384 Bits]]
[[cpp_int][9.80738 (0.0086037s)][2.34204 (0.0160922s)][1.00627 (0.0131305s)][1.67865 (0.0163002s)][1.88916 (0.033949s)][[*1] (0.0412289s)][[*1] (0.083134s)][[*1] (0.190174s)]]
[[cpp_int(fixed)][[*1] (0.000877268s)][[*1] (0.00687102s)][1.82016 (0.0237507s)][1.90391 (0.0184876s)]]
[[gmp_int][5.87168 (0.00515104s)][1.45191 (0.00997612s)][[*1] (0.0130487s)][[*1] (0.00971031s)][[*1] (0.0179704s)][[*1] (0.0300729s)][1.96754 (0.0811195s)][1.62045 (0.134715s)]]
[[tommath_int][13.6707 (0.0119929s)][1.03266 (0.00709542s)][1.02249 (0.0133422s)][1.4749 (0.0143218s)][1.17551 (0.0211244s)][1.08462 (0.0326177s)][1.47125 (0.060658s)][2.75813 (0.229295s)]]
]
[table Operator +(int)
[[Backend][128 Bits][256 Bits][512 Bits][1024 Bits][2048 Bits][4096 Bits][8192 Bits][16384 Bits]]
[[cpp_int][7.65014 (0.00534018s)][1.8992 (0.0063589s)][1.56778 (0.00666443s)][1.29719 (0.00836612s)][1.73231 (0.0204874s)][[*1] (0.0198385s)][[*1] (0.0338486s)][[*1] (0.0760202s)]]
[[cpp_int(fixed)][[*1] (0.000698051s)][1.72665 (0.00578118s)][1.57164 (0.00668085s)][1.90796 (0.0123052s)]]
[[gmp_int][4.97679 (0.00347405s)][[*1] (0.0033482s)][[*1] (0.00425087s)][[*1] (0.0064494s)][[*1] (0.0118266s)][[*1] (0.0195694s)][3.53343 (0.0700979s)][2.28146 (0.0772241s)]]
[[tommath_int][127.407 (0.0889366s)][24.8716 (0.0832749s)][20.4864 (0.0870848s)][12.5462 (0.0809152s)][7.07209 (0.083639s)][4.79434 (0.0938225s)][5.93694 (0.11778s)][5.20775 (0.176275s)]]
]
[table Operator +(unsigned long long)
[[Backend][128 Bits][256 Bits][512 Bits][1024 Bits][2048 Bits][4096 Bits][8192 Bits][16384 Bits]]
[[cpp_int][9.92952 (0.00893714s)][2.68575 (0.0136811s)][1.73024 (0.0102989s)][1.43961 (0.0115471s)][1.46556 (0.0237404s)][[*1] (0.0253811s)][[*1] (0.0350422s)][[*1] (0.0761856s)]]
[[cpp_int(fixed)][[*1] (0.000900057s)][1.27396 (0.00648945s)][1.38787 (0.008261s)][1.56798 (0.0125768s)]]
[[gmp_int][5.22669 (0.00470432s)][[*1] (0.00509394s)][[*1] (0.00595229s)][[*1] (0.00802101s)][[*1] (0.0161988s)][[*1] (0.0174726s)][1.83602 (0.0466003s)][1.90731 (0.0668364s)]]
[[tommath_int][100.859 (0.0907784s)][19.2654 (0.0981367s)][14.4537 (0.0860324s)][10.0594 (0.0806864s)][5.71755 (0.0926177s)][6.23483 (0.108939s)][4.63528 (0.117648s)][5.01743 (0.175822s)]]
]
[table Operator +=(unsigned long long)
[[Backend][128 Bits][256 Bits][512 Bits][1024 Bits][2048 Bits][4096 Bits][8192 Bits][16384 Bits]]
[[cpp_int][12.2366 (0.0106404s)][1.48157 (0.00996803s)][1.58862 (0.0108279s)][2.06658 (0.0131949s)][1.1631 (0.0186902s)][[*1] (0.0218483s)][[*1] (0.0394761s)][[*1] (0.0783171s)]]
[[cpp_int(fixed)][[*1] (0.000869555s)][1.34779 (0.00906799s)][[*1] (0.00681593s)][[*1] (0.00638493s)]]
[[gmp_int][11.3522 (0.00987134s)][[*1] (0.00672804s)][1.27495 (0.00868995s)][2.42237 (0.0154667s)][[*1] (0.0160693s)][1.09672 (0.0221405s)][2.61199 (0.0570676s)][2.13093 (0.0841208s)]]
[[tommath_int][88.4252 (0.0768906s)][14.139 (0.0951277s)][11.6282 (0.0792569s)][14.5551 (0.0929332s)][6.86867 (0.110375s)][5.67471 (0.11456s)][7.29502 (0.159384s)][5.733 (0.226317s)]]
]
[table Operator -
[[Backend][128 Bits][256 Bits][512 Bits][1024 Bits][2048 Bits][4096 Bits][8192 Bits][16384 Bits]]
[[cpp_int][4.45457 (0.00859678s)][1.28478 (0.013219s)][1.27873 (0.0117779s)][1.43649 (0.0151597s)][2.82516 (0.0507822s)][[*1] (0.0463464s)][[*1] (0.0813138s)][[*1] (0.191562s)]]
[[cpp_int(fixed)][[*1] (0.00192988s)][[*1] (0.010289s)][[*1] (0.00921062s)][1.5372 (0.0162226s)]]
[[gmp_int][3.4436 (0.00664573s)][1.25045 (0.0128659s)][1.10953 (0.0102195s)][[*1] (0.0105533s)][[*1] (0.017975s)][[*1] (0.0321962s)][2.54862 (0.11812s)][1.83623 (0.14931s)]]
[[tommath_int][9.3224 (0.0179911s)][1.08796 (0.011194s)][1.93265 (0.017801s)][1.82306 (0.0192393s)][1.55663 (0.0279804s)][1.6544 (0.0532653s)][1.90928 (0.0884881s)][4.41259 (0.358805s)]]
]
[table Operator -(int)
[[Backend][128 Bits][256 Bits][512 Bits][1024 Bits][2048 Bits][4096 Bits][8192 Bits][16384 Bits]]
[[cpp_int][3.07164 (0.00347144s)][1.38957 (0.00531251s)][1.29053 (0.00548206s)][1.35239 (0.00759591s)][1.50007 (0.0176467s)][[*1] (0.0209158s)][[*1] (0.0402632s)][[*1] (0.0674681s)]]
[[cpp_int(fixed)][[*1] (0.00113016s)][1.26281 (0.00482789s)][1.25074 (0.00531307s)][3.3923 (0.0190533s)]]
[[gmp_int][3.22069 (0.00363988s)][[*1] (0.00382312s)][[*1] (0.00424793s)][[*1] (0.00561665s)][[*1] (0.0117639s)][[*1] (0.0225873s)][2.75829 (0.0576919s)][2.03214 (0.0818204s)]]
[[tommath_int][81.1433 (0.0917047s)][21.4543 (0.0820224s)][19.3098 (0.0820267s)][16.2994 (0.0915478s)][7.23608 (0.0851246s)][4.48441 (0.101291s)][5.51882 (0.115431s)][4.44737 (0.179066s)]]
]
[table Operator -(unsigned long long)
[[Backend][128 Bits][256 Bits][512 Bits][1024 Bits][2048 Bits][4096 Bits][8192 Bits][16384 Bits]]
[[cpp_int][7.02787 (0.00807189s)][1.85949 (0.00922027s)][1.40179 (0.00830959s)][1.22546 (0.00988039s)][1.27526 (0.0235442s)][[*1] (0.0242017s)][[*1] (0.0317445s)][[*1] (0.0783054s)]]
[[cpp_int(fixed)][[*1] (0.00114855s)][1.03947 (0.00515424s)][1.22566 (0.00726552s)][1.56568 (0.0126235s)]]
[[gmp_int][7.54669 (0.00866778s)][[*1] (0.0049585s)][[*1] (0.00592785s)][[*1] (0.00806262s)][[*1] (0.0184622s)][[*1] (0.0220616s)][1.79985 (0.0435595s)][2.08427 (0.0661641s)]]
[[tommath_int][72.1332 (0.0828488s)][18.985 (0.0941371s)][13.9301 (0.0825755s)][9.93889 (0.0801335s)][5.42256 (0.100113s)][4.58437 (0.101139s)][4.91664 (0.118991s)][5.5407 (0.175887s)]]
]
[table Operator -=(unsigned long long)
[[Backend][128 Bits][256 Bits][512 Bits][1024 Bits][2048 Bits][4096 Bits][8192 Bits][16384 Bits]]
[[cpp_int][10.8565 (0.0103583s)][2.00541 (0.0102937s)][1.73348 (0.0103591s)][2.53718 (0.0189898s)][1.21308 (0.0265754s)][[*1] (0.0249248s)][[*1] (0.0377524s)][[*1] (0.070851s)]]
[[cpp_int(fixed)][[*1] (0.000954108s)][[*1] (0.00513296s)][[*1] (0.00597589s)][[*1] (0.00748462s)]]
[[gmp_int][6.6602 (0.00635455s)][1.61345 (0.00828179s)][1.41745 (0.00847054s)][1.41728 (0.0106078s)][[*1] (0.0219074s)][[*1] (0.0250737s)][2.12439 (0.05295s)][2.51074 (0.0947863s)]]
[[tommath_int][88.858 (0.0847801s)][18.6448 (0.0957029s)][13.7283 (0.0820388s)][13.4423 (0.100611s)][4.83335 (0.105886s)][4.6829 (0.117418s)][7.59449 (0.189292s)][5.86189 (0.2213s)]]
]
[table Operator /
[[Backend][128 Bits][256 Bits][512 Bits][1024 Bits][2048 Bits][4096 Bits][8192 Bits][16384 Bits]]
[[cpp_int][3.20876 (0.0878919s)][3.17469 (0.181536s)][3.14517 (0.250544s)][4.14655 (0.365546s)][4.70812 (0.702366s)][2.28619 (1.18106s)][3.54663 (2.26453s)][[*1] (4.52755s)]]
[[cpp_int(fixed)][[*1] (0.0273912s)][1.72404 (0.098585s)][2.12584 (0.169344s)][3.71442 (0.327451s)]]
[[gmp_int][1.70383 (0.04667s)][[*1] (0.0571824s)][[*1] (0.0796599s)][[*1] (0.0881567s)][[*1] (0.149182s)][[*1] (0.208719s)][[*1] (0.516606s)][[*1] (0.638503s)]]
[[tommath_int][40.8044 (1.11768s)][17.2975 (0.989116s)][17.4097 (1.38686s)][20.9668 (1.84837s)][20.6415 (3.07934s)][31.5839 (6.59216s)][33.0087 (17.0525s)][81.0894 (51.7759s)]]
]
[table Operator /(int)
[[Backend][128 Bits][256 Bits][512 Bits][1024 Bits][2048 Bits][4096 Bits][8192 Bits][16384 Bits]]
[[cpp_int][4.50037 (0.0520677s)][6.30243 (0.108097s)][8.34437 (0.193637s)][7.02879 (0.296939s)][6.47793 (0.630264s)][2.64044 (1.08346s)][3.92627 (2.33772s)][[*1] (4.22641s)]]
[[cpp_int(fixed)][1.27227 (0.0147198s)][4.34067 (0.0744498s)][6.08699 (0.141253s)][6.56549 (0.277366s)]]
[[gmp_int][[*1] (0.0115696s)][[*1] (0.0171517s)][[*1] (0.0232057s)][[*1] (0.0422461s)][[*1] (0.0972941s)][[*1] (0.156597s)][[*1] (0.410334s)][[*1] (0.595404s)]]
[[tommath_int][60.4712 (0.69963s)][44.8464 (0.769191s)][40.4334 (0.938285s)][35.0752 (1.48179s)][26.8178 (2.60921s)][37.2616 (5.83504s)][37.7146 (15.4756s)][84.1326 (50.0929s)]]
]
[table Operator /(unsigned long long)
[[Backend][128 Bits][256 Bits][512 Bits][1024 Bits][2048 Bits][4096 Bits][8192 Bits][16384 Bits]]
[[cpp_int][6.09203 (0.0582351s)][6.42997 (0.0982056s)][6.2137 (0.151642s)][6.62408 (0.281298s)][9.30105 (0.706562s)][3.66307 (1.0584s)][4.10257 (2.14867s)][[*1] (4.2547s)]]
[[cpp_int(fixed)][1.76794 (0.0169001s)][3.59379 (0.0548884s)][5.55499 (0.135566s)][6.36274 (0.2702s)]]
[[gmp_int][[*1] (0.00955921s)][[*1] (0.0152731s)][[*1] (0.0244044s)][[*1] (0.042466s)][[*1] (0.0759658s)][[*1] (0.125208s)][[*1] (0.288938s)][[*1] (0.523737s)]]
[[tommath_int][63.2738 (0.604848s)][57.3767 (0.876321s)][43.9301 (1.07209s)][40.0122 (1.69916s)][41.1147 (3.12331s)][57.9739 (7.25882s)][68.6676 (19.8407s)][109.312 (57.2509s)]]
]
[table Operator /=(unsigned long long)
[[Backend][128 Bits][256 Bits][512 Bits][1024 Bits][2048 Bits][4096 Bits][8192 Bits][16384 Bits]]
[[cpp_int][5.21402 (0.0701172s)][4.76442 (0.105309s)][5.1245 (0.171387s)][7.39587 (0.299993s)][6.88568 (0.632889s)][3.2993 (1.05399s)][3.52936 (2.14442s)][[*1] (4.37618s)]]
[[cpp_int(fixed)][1.68246 (0.0226255s)][3.12633 (0.0691018s)][3.98733 (0.133354s)][6.62903 (0.268888s)]]
[[gmp_int][[*1] (0.0134478s)][[*1] (0.0221032s)][[*1] (0.0334445s)][[*1] (0.0405622s)][[*1] (0.0919138s)][[*1] (0.14699s)][[*1] (0.319457s)][[*1] (0.607595s)]]
[[tommath_int][46.0731 (0.619583s)][43.6571 (0.964961s)][30.1861 (1.00956s)][41.4936 (1.68307s)][32.6785 (3.0036s)][48.2935 (7.09868s)][64.9093 (20.7357s)][111.801 (67.9296s)]]
]
[table Operator <<
[[Backend][128 Bits][256 Bits][512 Bits][1024 Bits][2048 Bits][4096 Bits][8192 Bits][16384 Bits]]
[[cpp_int][9.93178 (0.0116142s)][1.74005 (0.0147029s)][2.68859 (0.0238748s)][2.04419 (0.0394659s)][2.15112 (0.0859331s)][[*1] (0.0889652s)][[*1] (0.190562s)][[*1] (0.32803s)]]
[[cpp_int(fixed)][[*1] (0.00116939s)][[*1] (0.00844969s)][1.94851 (0.0173029s)][1.55242 (0.0299716s)]]
[[gmp_int][4.60815 (0.00538874s)][1.02939 (0.00869801s)][[*1] (0.00888006s)][[*1] (0.0193064s)][[*1] (0.039948s)][[*1] (0.0597248s)][1.65224 (0.146992s)][1.08567 (0.206887s)]]
[[tommath_int][10.7935 (0.0126218s)][2.38166 (0.0201243s)][2.42444 (0.0215291s)][1.87488 (0.0361972s)][1.73489 (0.0693055s)][1.93177 (0.115375s)][2.49667 (0.222116s)][2.82346 (0.538044s)]]
]
[table Operator >>
[[Backend][128 Bits][256 Bits][512 Bits][1024 Bits][2048 Bits][4096 Bits][8192 Bits][16384 Bits]]
[[cpp_int][12.5304 (0.011709s)][6.85524 (0.0153366s)][8.77866 (0.0209131s)][3.21549 (0.0146098s)][4.04361 (0.0183489s)][3.04276 (0.0219967s)][8.19636 (0.0537598s)][[*1] (0.0745484s)]]
[[cpp_int(fixed)][[*1] (0.000934446s)][6.55349 (0.0146615s)][6.51353 (0.0155169s)][4.90631 (0.0222922s)]]
[[gmp_int][2.59712 (0.00242687s)][[*1] (0.0022372s)][[*1] (0.00238226s)][[*1] (0.00454358s)][[*1] (0.00453774s)][[*1] (0.00313265s)][[*1] (0.00722919s)][[*1] (0.00655899s)]]
[[tommath_int][102.662 (0.0959319s)][42.5337 (0.0951565s)][39.1437 (0.0932504s)][21.0397 (0.0955953s)][29.6104 (0.134364s)][62.7092 (0.196446s)][49.6167 (0.358689s)][137.105 (0.899272s)]]
]
[table Operator ^
[[Backend][128 Bits][256 Bits][512 Bits][1024 Bits][2048 Bits][4096 Bits][8192 Bits][16384 Bits]]
[[cpp_int][2.8103 (0.0101384s)][4.11932 (0.0282768s)][2.25923 (0.0139063s)][1.94172 (0.0187085s)][1.66067 (0.0405646s)][[*1] (0.0369865s)][[*1] (0.0918676s)][[*1] (0.150955s)]]
[[cpp_int(fixed)][[*1] (0.00360758s)][[*1] (0.00686442s)][1.50683 (0.00927498s)][1.79076 (0.0172541s)]]
[[gmp_int][1.35398 (0.0048846s)][1.00969 (0.00693092s)][[*1] (0.00615531s)][[*1] (0.00963503s)][[*1] (0.0244266s)][[*1] (0.0429561s)][2.17737 (0.0805332s)][1.3521 (0.124214s)]]
[[tommath_int][2.28701 (0.00825059s)][1.65996 (0.0113947s)][2.06089 (0.0126854s)][2.03244 (0.0195826s)][1.4173 (0.0346198s)][1.32237 (0.0568037s)][2.69468 (0.0996668s)][2.55626 (0.234837s)]]
]
[table Operator ^(int)
[[Backend][128 Bits][256 Bits][512 Bits][1024 Bits][2048 Bits][4096 Bits][8192 Bits][16384 Bits]]
[[cpp_int][2.67312 (0.00991885s)][1.57246 (0.0115174s)][2.50193 (0.0198209s)][[*1] (0.0153479s)][[*1] (0.0264078s)][[*1] (0.0235546s)][[*1] (0.0392727s)][[*1] (0.0657809s)]]
[[cpp_int(fixed)][[*1] (0.00371059s)][[*1] (0.0073244s)][[*1] (0.00792226s)][1.04763 (0.0160789s)]]
[[gmp_int][2.86377 (0.0106263s)][2.18619 (0.0160125s)][2.18777 (0.0173321s)][1.01844 (0.0156309s)][1.13176 (0.0298873s)][1.9665 (0.0406408s)][3.34613 (0.0788165s)][3.54952 (0.139399s)]]
[[tommath_int][26.101 (0.0968501s)][14.6444 (0.107261s)][10.0538 (0.079649s)][5.64392 (0.0866224s)][3.8806 (0.102478s)][6.36386 (0.131519s)][8.07216 (0.190136s)][8.01428 (0.314742s)]]
]
[table Operator construct
[[Backend][128 Bits][256 Bits][512 Bits][1024 Bits][2048 Bits][4096 Bits][8192 Bits][16384 Bits]]
[[cpp_int][3.24638 (0.00190752s)][1.06172 (0.00258002s)][[*1] (0.00248269s)][[*1] (0.00191598s)][[*1] (0.00273948s)][[*1] (0.0017072s)][[*1] (0.00191549s)][[*1] (0.0016635s)]]
[[cpp_int(fixed)][[*1] (0.000587582s)][[*1] (0.00243004s)][1.51116 (0.00375174s)][4.66482 (0.00893771s)]]
[[gmp_int][5.61558 (0.00329962s)][1.52898 (0.0037155s)][2.51713 (0.00624925s)][1.755 (0.00336255s)][1.40183 (0.00384029s)][1.60131 (0.00385483s)][4.7818 (0.0081635s)][2.07779 (0.00397999s)]]
[[tommath_int][251.1 (0.147542s)][63.6186 (0.154596s)][54.6947 (0.13579s)][66.8839 (0.128148s)][47.8098 (0.130974s)][54.8252 (0.13198s)][74.1436 (0.126578s)][83.945 (0.160796s)]]
]
[table Operator construct(unsigned long long)
[[Backend][128 Bits][256 Bits][512 Bits][1024 Bits][2048 Bits][4096 Bits][8192 Bits][16384 Bits]]
[[cpp_int][2.12644 (0.00192028s)][[*1] (0.00200418s)][[*1] (0.00223886s)][[*1] (0.00189442s)][[*1] (0.00190833s)][[*1] (0.00199036s)][[*1] (0.00200998s)][[*1] (0.00168004s)]]
[[cpp_int(fixed)][[*1] (0.000903049s)][1.26395 (0.00253319s)][1.78621 (0.00399907s)][5.10701 (0.0096748s)]]
[[gmp_int][27.1389 (0.0245077s)][10.3593 (0.020762s)][9.02272 (0.0202006s)][9.96334 (0.0188747s)][15.2262 (0.0290565s)][8.50239 (0.0244927s)][35.6564 (0.0709692s)][10.9129 (0.0219346s)]]
[[tommath_int][183.484 (0.165695s)][83.0709 (0.166489s)][69.5984 (0.155821s)][75.8903 (0.143768s)][85.5979 (0.163349s)][50.8174 (0.146389s)][70.0602 (0.139445s)][95.4952 (0.191943s)]]
]
[table Operator construct(unsigned)
[[Backend][128 Bits][256 Bits][512 Bits][1024 Bits][2048 Bits][4096 Bits][8192 Bits][16384 Bits]]
[[cpp_int][2.00349 (0.00174712s)][[*1] (0.00225895s)][[*1] (0.00241092s)][[*1] (0.00177047s)][[*1] (0.00304865s)][[*1] (0.0018378s)][[*1] (0.0017583s)][[*1] (0.00197229s)]]
[[cpp_int(fixed)][[*1] (0.000872038s)][1.1805 (0.0026667s)][1.66167 (0.00400614s)][5.54475 (0.00981681s)]]
[[gmp_int][27.6419 (0.0241048s)][10.0723 (0.0227529s)][7.60577 (0.0183369s)][10.2725 (0.0181871s)][9.38419 (0.0286091s)][9.10394 (0.0220052s)][34.6032 (0.0635939s)][15.7134 (0.0276289s)]]
[[tommath_int][207.462 (0.180915s)][84.5379 (0.190967s)][65.2109 (0.157218s)][84.8572 (0.150237s)][47.0682 (0.143494s)][59.4466 (0.143689s)][78.5549 (0.144368s)][103.519 (0.182018s)]]
]
[table Operator gcd
[[Backend][128 Bits][256 Bits][512 Bits][1024 Bits][2048 Bits][4096 Bits][8192 Bits][16384 Bits]]
[[cpp_int][2.10743 (0.358587s)][1.8778 (1.42989s)][2.03859 (3.30534s)][2.01435 (7.01715s)][2.16957 (17.7583s)][[*1] (32.2572s)][[*1] (76.6459s)][[*1] (201.791s)]]
[[cpp_int(fixed)][3.65486 (0.621889s)][1.78424 (1.35865s)][2.02664 (3.28597s)][1.95328 (6.8044s)]]
[[gmp_int][[*1] (0.170154s)][[*1] (0.761472s)][[*1] (1.62139s)][[*1] (3.48358s)][[*1] (8.18516s)][[*1] (18.7879s)][1.82325 (58.8129s)][1.59356 (122.14s)]]
[[tommath_int][8.01966 (1.36458s)][4.44226 (3.38266s)][4.55056 (7.37824s)][4.42983 (15.4317s)][5.23788 (42.8729s)][7.25799 (136.362s)][14.6265 (471.81s)][23.1025 (1770.72s)]]
]
[table Operator powm
[[Backend][128 Bits][256 Bits][512 Bits][1024 Bits]]
[[cpp_int][14.8198 (0.565871s)][13.2096 (2.0199s)][11.8233 (9.06469s)][9.12533 (46.9932s)]]
[[cpp_int(fixed)][9.40069 (0.35895s)][10.0395 (1.53516s)][10.5353 (8.07714s)][8.49678 (43.7564s)]]
[[gmp_int][[*1] (0.0381833s)][[*1] (0.152912s)][[*1] (0.766677s)][[*1] (5.14976s)]]
[[tommath_int][11.0485 (0.421869s)][8.44037 (1.29063s)][4.18756 (3.21051s)][2.45216 (12.628s)]]
]
[table Operator str
[[Backend][128 Bits][256 Bits][512 Bits][1024 Bits][2048 Bits][4096 Bits][8192 Bits][16384 Bits]]
[[cpp_int][1.47697 (0.000264092s)][2.87174 (0.000644609s)][2.28911 (0.00141073s)][4.92453 (0.00383604s)][5.61647 (0.0137593s)][1.87264 (0.0491109s)][4.29909 (0.171316s)][[*1] (0.595522s)]]
[[cpp_int(fixed)][4.73326 (0.00084634s)][1.78742 (0.000401216s)][1.68455 (0.00103815s)][4.30889 (0.00335647s)]]
[[gmp_int][[*1] (0.000178807s)][[*1] (0.000224466s)][[*1] (0.00061628s)][[*1] (0.000778966s)][[*1] (0.00244981s)][[*1] (0.00486654s)][[*1] (0.0262254s)][[*1] (0.0398493s)]]
[[tommath_int][16.7304 (0.00299152s)][26.6015 (0.00597113s)][30.9815 (0.0190933s)][74.7467 (0.0582251s)][82.4773 (0.202054s)][154.996 (0.754295s)][107.534 (2.82013s)][279.178 (11.1251s)]]
]
[table Operator |
[[Backend][128 Bits][256 Bits][512 Bits][1024 Bits][2048 Bits][4096 Bits][8192 Bits][16384 Bits]]
[[cpp_int][2.26845 (0.00991773s)][1.955 (0.00939722s)][2.01122 (0.012635s)][1.76421 (0.0152013s)][1.92162 (0.0293243s)][[*1] (0.0377549s)][[*1] (0.0916779s)][[*1] (0.152323s)]]
[[cpp_int(fixed)][1.00452 (0.0043918s)][1.37689 (0.00661838s)][1.3138 (0.00825362s)][1.71906 (0.0148123s)]]
[[gmp_int][[*1] (0.00437203s)][[*1] (0.00480677s)][[*1] (0.00628228s)][[*1] (0.00861647s)][[*1] (0.0152602s)][1.09283 (0.0365187s)][2.43832 (0.0920584s)][1.21204 (0.111118s)]]
[[tommath_int][1.69103 (0.00739324s)][1.85402 (0.00891185s)][1.78526 (0.0112155s)][1.86487 (0.0160686s)][1.75184 (0.0267336s)][1.44011 (0.0481236s)][2.33195 (0.0880424s)][2.33204 (0.213797s)]]
]
[table Operator |(int)
[[Backend][128 Bits][256 Bits][512 Bits][1024 Bits][2048 Bits][4096 Bits][8192 Bits][16384 Bits]]
[[cpp_int][2.11741 (0.00805945s)][2.16753 (0.0119795s)][1.5717 (0.012189s)][1.10016 (0.0134288s)][1.11289 (0.0309032s)][[*1] (0.0232284s)][[*1] (0.042441s)][[*1] (0.0711061s)]]
[[cpp_int(fixed)][[*1] (0.00380628s)][[*1] (0.00552682s)][[*1] (0.00775532s)][[*1] (0.0122062s)]]
[[gmp_int][2.62934 (0.010008s)][1.86878 (0.0103284s)][3.19589 (0.0247852s)][1.1073 (0.0135159s)][[*1] (0.0277685s)][1.67609 (0.0360071s)][3.76493 (0.0874534s)][2.72382 (0.115602s)]]
[[tommath_int][22.0502 (0.0839291s)][18.6272 (0.102949s)][9.99323 (0.0775007s)][6.28905 (0.0767652s)][3.28821 (0.0913086s)][5.0968 (0.109494s)][6.47865 (0.150489s)][4.8474 (0.205729s)]]
]
[table:platform Platform Details
[[][Version]]
[[Compiler][GNU C++ version 10.3.0]]
[[GMP][6.2.0]]
[[MPFR][262146]]
[[Boost][107800]]
[[Run date][Sep 30 2021]]
]
[endsect]
|
