[table:platform Platform Details [[Platform][[[Compiler][GNU C++ version 10.3.0]] [[GMP][6.2.0]] [[MPFR][262146]] [[Boost][107800]] [[Run date][Sep 30 2021]] ] gmp_float 50 + 0.0183555 gmp_float 50 - 0.0136532 gmp_float 50 * 0.02086 gmp_float 50 / 0.101766 gmp_float 50 str 0.000493989 gmp_float 50 +(int) 0.00443909 gmp_float 50 -(int) 0.0134294 gmp_float 50 *(int) 0.00513201 gmp_float 50 /(int) 0.0243611 gmp_float 50 construct 0.0232445 gmp_float 50 construct(unsigned) 0.0299395 gmp_float 50 construct(unsigned long long) 0.0258903 gmp_float 50 +(unsigned long long) 0.0051023 gmp_float 50 -(unsigned long long) 0.0113255 gmp_float 50 *(unsigned long long) 0.0128361 gmp_float 50 /(unsigned long long) 0.0179778 gmp_float 50 +=(unsigned long long) 0.0164496 gmp_float 50 -=(unsigned long long) 0.0148782 gmp_float 50 *=(unsigned long long) 0.00765054 gmp_float 50 /=(unsigned long long) 0.0195279 gmp_float 100 + 0.0130366 gmp_float 100 - 0.0192537 gmp_float 100 * 0.0257348 gmp_float 100 / 0.138938 gmp_float 100 str 0.00109572 gmp_float 100 +(int) 0.00626549 gmp_float 100 -(int) 0.0119272 gmp_float 100 *(int) 0.00558264 gmp_float 100 /(int) 0.0220741 gmp_float 100 construct 0.0242744 gmp_float 100 construct(unsigned) 0.0252132 gmp_float 100 construct(unsigned long long) 0.0209379 gmp_float 100 +(unsigned long long) 0.00778526 gmp_float 100 -(unsigned long long) 0.0194584 gmp_float 100 *(unsigned long long) 0.00599344 gmp_float 100 /(unsigned long long) 0.0233296 gmp_float 100 +=(unsigned long long) 0.0137783 gmp_float 100 -=(unsigned long long) 0.0221136 gmp_float 100 *=(unsigned long long) 0.00979552 gmp_float 100 /=(unsigned long long) 0.032907 gmp_float 500 + 0.0273382 gmp_float 500 - 0.0260432 gmp_float 500 * 0.292919 gmp_float 500 / 0.430233 gmp_float 500 str 0.00345598 gmp_float 500 +(int) 0.0120673 gmp_float 500 -(int) 0.0272281 gmp_float 500 *(int) 0.0211042 gmp_float 500 /(int) 0.0784889 gmp_float 500 construct 0.0885159 gmp_float 500 construct(unsigned) 0.0829907 gmp_float 500 construct(unsigned long long) 0.0914671 gmp_float 500 +(unsigned long long) 0.0111554 gmp_float 500 -(unsigned long long) 0.026385 gmp_float 500 *(unsigned long long) 0.0219284 gmp_float 500 /(unsigned long long) 0.0704423 gmp_float 500 +=(unsigned long long) 0.0172751 gmp_float 500 -=(unsigned long long) 0.0300017 gmp_float 500 *=(unsigned long long) 0.0296053 gmp_float 500 /=(unsigned long long) 0.076721 gmp_int 128 + 0.00515104 gmp_int 128 - 0.00664573 gmp_int 128 * 0.00560549 gmp_int 128 / 0.04667 gmp_int 128 str 0.000178807 gmp_int 128 +(int) 0.00347405 gmp_int 128 -(int) 0.00363988 gmp_int 128 *(int) 0.00473426 gmp_int 128 /(int) 0.0115696 gmp_int 128 construct 0.00329962 gmp_int 128 construct(unsigned) 0.0241048 gmp_int 128 construct(unsigned long long) 0.0245077 gmp_int 128 % 0.0466966 gmp_int 128 | 0.00437203 gmp_int 128 & 0.00394167 gmp_int 128 ^ 0.0048846 gmp_int 128 << 0.00538874 gmp_int 128 >> 0.00242687 gmp_int 128 %(int) 0.0118703 gmp_int 128 |(int) 0.010008 gmp_int 128 &(int) 0.0148993 gmp_int 128 ^(int) 0.0106263 gmp_int 128 gcd 0.170154 gmp_int 128 powm 0.0381833 gmp_int 128 +(unsigned long long) 0.00470432 gmp_int 128 -(unsigned long long) 0.00866778 gmp_int 128 *(unsigned long long) 0.00371188 gmp_int 128 /(unsigned long long) 0.00955921 gmp_int 128 +=(unsigned long long) 0.00987134 gmp_int 128 -=(unsigned long long) 0.00635455 gmp_int 128 *=(unsigned long long) 0.00560359 gmp_int 128 /=(unsigned long long) 0.0134478 gmp_int 256 + 0.00997612 gmp_int 256 - 0.0128659 gmp_int 256 * 0.0134261 gmp_int 256 / 0.0571824 gmp_int 256 str 0.000224466 gmp_int 256 +(int) 0.0033482 gmp_int 256 -(int) 0.00382312 gmp_int 256 *(int) 0.0112929 gmp_int 256 /(int) 0.0171517 gmp_int 256 construct 0.0037155 gmp_int 256 construct(unsigned) 0.0227529 gmp_int 256 construct(unsigned long long) 0.020762 gmp_int 256 % 0.0514059 gmp_int 256 | 0.00480677 gmp_int 256 & 0.00417321 gmp_int 256 ^ 0.00693092 gmp_int 256 << 0.00869801 gmp_int 256 >> 0.0022372 gmp_int 256 %(int) 0.0148079 gmp_int 256 |(int) 0.0103284 gmp_int 256 &(int) 0.00947844 gmp_int 256 ^(int) 0.0160125 gmp_int 256 gcd 0.761472 gmp_int 256 powm 0.152912 gmp_int 256 +(unsigned long long) 0.00509394 gmp_int 256 -(unsigned long long) 0.0049585 gmp_int 256 *(unsigned long long) 0.00456418 gmp_int 256 /(unsigned long long) 0.0152731 gmp_int 256 +=(unsigned long long) 0.00672804 gmp_int 256 -=(unsigned long long) 0.00828179 gmp_int 256 *=(unsigned long long) 0.00858963 gmp_int 256 /=(unsigned long long) 0.0221032 gmp_int 512 + 0.0130487 gmp_int 512 - 0.0102195 gmp_int 512 * 0.0300231 gmp_int 512 / 0.0796599 gmp_int 512 str 0.00061628 gmp_int 512 +(int) 0.00425087 gmp_int 512 -(int) 0.00424793 gmp_int 512 *(int) 0.00578859 gmp_int 512 /(int) 0.0232057 gmp_int 512 construct 0.00624925 gmp_int 512 construct(unsigned) 0.0183369 gmp_int 512 construct(unsigned long long) 0.0202006 gmp_int 512 % 0.0722958 gmp_int 512 | 0.00628228 gmp_int 512 & 0.00524347 gmp_int 512 ^ 0.00615531 gmp_int 512 << 0.00888006 gmp_int 512 >> 0.00238226 gmp_int 512 %(int) 0.024264 gmp_int 512 |(int) 0.0247852 gmp_int 512 &(int) 0.013507 gmp_int 512 ^(int) 0.0173321 gmp_int 512 gcd 1.62139 gmp_int 512 powm 0.766677 gmp_int 512 +(unsigned long long) 0.00595229 gmp_int 512 -(unsigned long long) 0.00592785 gmp_int 512 *(unsigned long long) 0.00637276 gmp_int 512 /(unsigned long long) 0.0244044 gmp_int 512 +=(unsigned long long) 0.00868995 gmp_int 512 -=(unsigned long long) 0.00847054 gmp_int 512 *=(unsigned long long) 0.00977523 gmp_int 512 /=(unsigned long long) 0.0334445 gmp_int 1024 + 0.00971031 gmp_int 1024 - 0.0105533 gmp_int 1024 * 0.100546 gmp_int 1024 / 0.0881567 gmp_int 1024 str 0.000778966 gmp_int 1024 +(int) 0.0064494 gmp_int 1024 -(int) 0.00561665 gmp_int 1024 *(int) 0.00931559 gmp_int 1024 /(int) 0.0422461 gmp_int 1024 construct 0.00336255 gmp_int 1024 construct(unsigned) 0.0181871 gmp_int 1024 construct(unsigned long long) 0.0188747 gmp_int 1024 % 0.0918952 gmp_int 1024 | 0.00861647 gmp_int 1024 & 0.00800121 gmp_int 1024 ^ 0.00963503 gmp_int 1024 << 0.0193064 gmp_int 1024 >> 0.00454358 gmp_int 1024 %(int) 0.0257336 gmp_int 1024 |(int) 0.0135159 gmp_int 1024 &(int) 0.0102081 gmp_int 1024 ^(int) 0.0156309 gmp_int 1024 gcd 3.48358 gmp_int 1024 powm 5.14976 gmp_int 1024 +(unsigned long long) 0.00802101 gmp_int 1024 -(unsigned long long) 0.00806262 gmp_int 1024 *(unsigned long long) 0.0102277 gmp_int 1024 /(unsigned long long) 0.042466 gmp_int 1024 +=(unsigned long long) 0.0154667 gmp_int 1024 -=(unsigned long long) 0.0106078 gmp_int 1024 *=(unsigned long long) 0.0134989 gmp_int 1024 /=(unsigned long long) 0.0405622 cpp_int(fixed) 128 + 0.000877268 cpp_int(fixed) 128 - 0.00192988 cpp_int(fixed) 128 * 0.00116759 cpp_int(fixed) 128 / 0.0273912 cpp_int(fixed) 128 str 0.00084634 cpp_int(fixed) 128 +(int) 0.000698051 cpp_int(fixed) 128 -(int) 0.00113016 cpp_int(fixed) 128 *(int) 0.000662467 cpp_int(fixed) 128 /(int) 0.0147198 cpp_int(fixed) 128 construct 0.000587582 cpp_int(fixed) 128 construct(unsigned) 0.000872038 cpp_int(fixed) 128 construct(unsigned long long) 0.000903049 cpp_int(fixed) 128 % 0.0318553 cpp_int(fixed) 128 | 0.0043918 cpp_int(fixed) 128 & 0.00358104 cpp_int(fixed) 128 ^ 0.00360758 cpp_int(fixed) 128 << 0.00116939 cpp_int(fixed) 128 >> 0.000934446 cpp_int(fixed) 128 %(int) 0.0172916 cpp_int(fixed) 128 |(int) 0.00380628 cpp_int(fixed) 128 &(int) 0.0038455 cpp_int(fixed) 128 ^(int) 0.00371059 cpp_int(fixed) 128 gcd 0.621889 cpp_int(fixed) 128 powm 0.35895 cpp_int(fixed) 128 +(unsigned long long) 0.000900057 cpp_int(fixed) 128 -(unsigned long long) 0.00114855 cpp_int(fixed) 128 *(unsigned long long) 0.000745744 cpp_int(fixed) 128 /(unsigned long long) 0.0169001 cpp_int(fixed) 128 +=(unsigned long long) 0.000869555 cpp_int(fixed) 128 -=(unsigned long long) 0.000954108 cpp_int(fixed) 128 *=(unsigned long long) 0.000832044 cpp_int(fixed) 128 /=(unsigned long long) 0.0226255 cpp_int(fixed) 256 + 0.00687102 cpp_int(fixed) 256 - 0.010289 cpp_int(fixed) 256 * 0.0237359 cpp_int(fixed) 256 / 0.098585 cpp_int(fixed) 256 str 0.000401216 cpp_int(fixed) 256 +(int) 0.00578118 cpp_int(fixed) 256 -(int) 0.00482789 cpp_int(fixed) 256 *(int) 0.00648519 cpp_int(fixed) 256 /(int) 0.0744498 cpp_int(fixed) 256 construct 0.00243004 cpp_int(fixed) 256 construct(unsigned) 0.0026667 cpp_int(fixed) 256 construct(unsigned long long) 0.00253319 cpp_int(fixed) 256 % 0.0663805 cpp_int(fixed) 256 | 0.00661838 cpp_int(fixed) 256 & 0.00641591 cpp_int(fixed) 256 ^ 0.00686442 cpp_int(fixed) 256 << 0.00844969 cpp_int(fixed) 256 >> 0.0146615 cpp_int(fixed) 256 %(int) 0.0247468 cpp_int(fixed) 256 |(int) 0.00552682 cpp_int(fixed) 256 &(int) 0.00630453 cpp_int(fixed) 256 ^(int) 0.0073244 cpp_int(fixed) 256 gcd 1.35865 cpp_int(fixed) 256 powm 1.53516 cpp_int(fixed) 256 +(unsigned long long) 0.00648945 cpp_int(fixed) 256 -(unsigned long long) 0.00515424 cpp_int(fixed) 256 *(unsigned long long) 0.00489332 cpp_int(fixed) 256 /(unsigned long long) 0.0548884 cpp_int(fixed) 256 +=(unsigned long long) 0.00906799 cpp_int(fixed) 256 -=(unsigned long long) 0.00513296 cpp_int(fixed) 256 *=(unsigned long long) 0.00472864 cpp_int(fixed) 256 /=(unsigned long long) 0.0691018 cpp_int(fixed) 512 + 0.0237507 cpp_int(fixed) 512 - 0.00921062 cpp_int(fixed) 512 * 0.047591 cpp_int(fixed) 512 / 0.169344 cpp_int(fixed) 512 str 0.00103815 cpp_int(fixed) 512 +(int) 0.00668085 cpp_int(fixed) 512 -(int) 0.00531307 cpp_int(fixed) 512 *(int) 0.0088359 cpp_int(fixed) 512 /(int) 0.141253 cpp_int(fixed) 512 construct 0.00375174 cpp_int(fixed) 512 construct(unsigned) 0.00400614 cpp_int(fixed) 512 construct(unsigned long long) 0.00399907 cpp_int(fixed) 512 % 0.0966394 cpp_int(fixed) 512 | 0.00825362 cpp_int(fixed) 512 & 0.0089337 cpp_int(fixed) 512 ^ 0.00927498 cpp_int(fixed) 512 << 0.0173029 cpp_int(fixed) 512 >> 0.0155169 cpp_int(fixed) 512 %(int) 0.0688759 cpp_int(fixed) 512 |(int) 0.00775532 cpp_int(fixed) 512 &(int) 0.00845281 cpp_int(fixed) 512 ^(int) 0.00792226 cpp_int(fixed) 512 gcd 3.28597 cpp_int(fixed) 512 powm 8.07714 cpp_int(fixed) 512 +(unsigned long long) 0.008261 cpp_int(fixed) 512 -(unsigned long long) 0.00726552 cpp_int(fixed) 512 *(unsigned long long) 0.00764018 cpp_int(fixed) 512 /(unsigned long long) 0.135566 cpp_int(fixed) 512 +=(unsigned long long) 0.00681593 cpp_int(fixed) 512 -=(unsigned long long) 0.00597589 cpp_int(fixed) 512 *=(unsigned long long) 0.00714494 cpp_int(fixed) 512 /=(unsigned long long) 0.133354 cpp_int(fixed) 1024 + 0.0184876 cpp_int(fixed) 1024 - 0.0162226 cpp_int(fixed) 1024 * 0.153461 cpp_int(fixed) 1024 / 0.327451 cpp_int(fixed) 1024 str 0.00335647 cpp_int(fixed) 1024 +(int) 0.0123052 cpp_int(fixed) 1024 -(int) 0.0190533 cpp_int(fixed) 1024 *(int) 0.0211192 cpp_int(fixed) 1024 /(int) 0.277366 cpp_int(fixed) 1024 construct 0.00893771 cpp_int(fixed) 1024 construct(unsigned) 0.00981681 cpp_int(fixed) 1024 construct(unsigned long long) 0.0096748 cpp_int(fixed) 1024 % 0.181883 cpp_int(fixed) 1024 | 0.0148123 cpp_int(fixed) 1024 & 0.019269 cpp_int(fixed) 1024 ^ 0.0172541 cpp_int(fixed) 1024 << 0.0299716 cpp_int(fixed) 1024 >> 0.0222922 cpp_int(fixed) 1024 %(int) 0.111133 cpp_int(fixed) 1024 |(int) 0.0122062 cpp_int(fixed) 1024 &(int) 0.0225444 cpp_int(fixed) 1024 ^(int) 0.0160789 cpp_int(fixed) 1024 gcd 6.8044 cpp_int(fixed) 1024 powm 43.7564 cpp_int(fixed) 1024 +(unsigned long long) 0.0125768 cpp_int(fixed) 1024 -(unsigned long long) 0.0126235 cpp_int(fixed) 1024 *(unsigned long long) 0.0157115 cpp_int(fixed) 1024 /(unsigned long long) 0.2702 cpp_int(fixed) 1024 +=(unsigned long long) 0.00638493 cpp_int(fixed) 1024 -=(unsigned long long) 0.00748462 cpp_int(fixed) 1024 *=(unsigned long long) 0.0134446 cpp_int(fixed) 1024 /=(unsigned long long) 0.268888 cpp_int 128 + 0.0086037 cpp_int 128 - 0.00859678 cpp_int 128 * 0.0145016 cpp_int 128 / 0.0878919 cpp_int 128 str 0.000264092 cpp_int 128 +(int) 0.00534018 cpp_int 128 -(int) 0.00347144 cpp_int 128 *(int) 0.0072726 cpp_int 128 /(int) 0.0520677 cpp_int 128 construct 0.00190752 cpp_int 128 construct(unsigned) 0.00174712 cpp_int 128 construct(unsigned long long) 0.00192028 cpp_int 128 % 0.0481508 cpp_int 128 | 0.00991773 cpp_int 128 & 0.0101034 cpp_int 128 ^ 0.0101384 cpp_int 128 << 0.0116142 cpp_int 128 >> 0.011709 cpp_int 128 %(int) 0.00790481 cpp_int 128 |(int) 0.00805945 cpp_int 128 &(int) 0.0124861 cpp_int 128 ^(int) 0.00991885 cpp_int 128 gcd 0.358587 cpp_int 128 powm 0.565871 cpp_int 128 +(unsigned long long) 0.00893714 cpp_int 128 -(unsigned long long) 0.00807189 cpp_int 128 *(unsigned long long) 0.00669928 cpp_int 128 /(unsigned long long) 0.0582351 cpp_int 128 +=(unsigned long long) 0.0106404 cpp_int 128 -=(unsigned long long) 0.0103583 cpp_int 128 *=(unsigned long long) 0.0131299 cpp_int 128 /=(unsigned long long) 0.0701172 cpp_int 256 + 0.0160922 cpp_int 256 - 0.013219 cpp_int 256 * 0.0246772 cpp_int 256 / 0.181536 cpp_int 256 str 0.000644609 cpp_int 256 +(int) 0.0063589 cpp_int 256 -(int) 0.00531251 cpp_int 256 *(int) 0.00991594 cpp_int 256 /(int) 0.108097 cpp_int 256 construct 0.00258002 cpp_int 256 construct(unsigned) 0.00225895 cpp_int 256 construct(unsigned long long) 0.00200418 cpp_int 256 % 0.0825917 cpp_int 256 | 0.00939722 cpp_int 256 & 0.0128886 cpp_int 256 ^ 0.0282768 cpp_int 256 << 0.0147029 cpp_int 256 >> 0.0153366 cpp_int 256 %(int) 0.0215141 cpp_int 256 |(int) 0.0119795 cpp_int 256 &(int) 0.0114113 cpp_int 256 ^(int) 0.0115174 cpp_int 256 gcd 1.42989 cpp_int 256 powm 2.0199 cpp_int 256 +(unsigned long long) 0.0136811 cpp_int 256 -(unsigned long long) 0.00922027 cpp_int 256 *(unsigned long long) 0.00820918 cpp_int 256 /(unsigned long long) 0.0982056 cpp_int 256 +=(unsigned long long) 0.00996803 cpp_int 256 -=(unsigned long long) 0.0102937 cpp_int 256 *=(unsigned long long) 0.00790233 cpp_int 256 /=(unsigned long long) 0.105309 cpp_int 512 + 0.0131305 cpp_int 512 - 0.0117779 cpp_int 512 * 0.0631704 cpp_int 512 / 0.250544 cpp_int 512 str 0.00141073 cpp_int 512 +(int) 0.00666443 cpp_int 512 -(int) 0.00548206 cpp_int 512 *(int) 0.0194072 cpp_int 512 /(int) 0.193637 cpp_int 512 construct 0.00248269 cpp_int 512 construct(unsigned) 0.00241092 cpp_int 512 construct(unsigned long long) 0.00223886 cpp_int 512 % 0.127209 cpp_int 512 | 0.012635 cpp_int 512 & 0.018172 cpp_int 512 ^ 0.0139063 cpp_int 512 << 0.0238748 cpp_int 512 >> 0.0209131 cpp_int 512 %(int) 0.065874 cpp_int 512 |(int) 0.012189 cpp_int 512 &(int) 0.0179186 cpp_int 512 ^(int) 0.0198209 cpp_int 512 gcd 3.30534 cpp_int 512 powm 9.06469 cpp_int 512 +(unsigned long long) 0.0102989 cpp_int 512 -(unsigned long long) 0.00830959 cpp_int 512 *(unsigned long long) 0.0119122 cpp_int 512 /(unsigned long long) 0.151642 cpp_int 512 +=(unsigned long long) 0.0108279 cpp_int 512 -=(unsigned long long) 0.0103591 cpp_int 512 *=(unsigned long long) 0.0119079 cpp_int 512 /=(unsigned long long) 0.171387 cpp_int 1024 + 0.0163002 cpp_int 1024 - 0.0151597 cpp_int 1024 * 0.224062 cpp_int 1024 / 0.365546 cpp_int 1024 str 0.00383604 cpp_int 1024 +(int) 0.00836612 cpp_int 1024 -(int) 0.00759591 cpp_int 1024 *(int) 0.0214459 cpp_int 1024 /(int) 0.296939 cpp_int 1024 construct 0.00191598 cpp_int 1024 construct(unsigned) 0.00177047 cpp_int 1024 construct(unsigned long long) 0.00189442 cpp_int 1024 % 0.171986 cpp_int 1024 | 0.0152013 cpp_int 1024 & 0.0204051 cpp_int 1024 ^ 0.0187085 cpp_int 1024 << 0.0394659 cpp_int 1024 >> 0.0146098 cpp_int 1024 %(int) 0.1044 cpp_int 1024 |(int) 0.0134288 cpp_int 1024 &(int) 0.0262296 cpp_int 1024 ^(int) 0.0153479 cpp_int 1024 gcd 7.01715 cpp_int 1024 powm 46.9932 cpp_int 1024 +(unsigned long long) 0.0115471 cpp_int 1024 -(unsigned long long) 0.00988039 cpp_int 1024 *(unsigned long long) 0.0175683 cpp_int 1024 /(unsigned long long) 0.281298 cpp_int 1024 +=(unsigned long long) 0.0131949 cpp_int 1024 -=(unsigned long long) 0.0189898 cpp_int 1024 *=(unsigned long long) 0.0203561 cpp_int 1024 /=(unsigned long long) 0.299993 cpp_rational 128 + 0.415006 cpp_rational 128 - 0.471759 cpp_rational 128 * 0.797425 cpp_rational 128 / 2.28881 cpp_rational 128 str 0.00168424 cpp_rational 128 +(int) 0.0177811 cpp_rational 128 -(int) 0.0292894 cpp_rational 128 *(int) 0.0637195 cpp_rational 128 /(int) 0.035134 cpp_rational 128 construct 0.0135822 cpp_rational 128 construct(unsigned) 0.00672081 cpp_rational 128 construct(unsigned long long) 0.00806026 cpp_rational 128 +(value_type) 0.0265647 cpp_rational 128 -(value_type) 0.0408789 cpp_rational 128 *(value_type) 0.408791 cpp_rational 128 /(value_type) 0.431612 cpp_rational 128 +=(value_type) 0.0335896 cpp_rational 128 -=(value_type) 0.0421283 cpp_rational 128 *=(value_type) 0.40255 cpp_rational 128 /=(value_type) 0.40369 cpp_rational 128 +(unsigned long long) 0.0177151 cpp_rational 128 -(unsigned long long) 0.0296698 cpp_rational 128 *(unsigned long long) 0.161844 cpp_rational 128 /(unsigned long long) 0.170727 cpp_rational 128 +=(unsigned long long) 0.0565983 cpp_rational 128 -=(unsigned long long) 0.0366534 cpp_rational 128 *=(unsigned long long) 0.211848 cpp_rational 128 /=(unsigned long long) 0.216252 cpp_rational 256 + 1.53458 cpp_rational 256 - 1.52484 cpp_rational 256 * 2.96998 cpp_rational 256 / 6.34454 cpp_rational 256 str 0.0033367 cpp_rational 256 +(int) 0.0183744 cpp_rational 256 -(int) 0.0346718 cpp_rational 256 *(int) 0.0917847 cpp_rational 256 /(int) 0.0774619 cpp_rational 256 construct 0.00935293 cpp_rational 256 construct(unsigned) 0.0064826 cpp_rational 256 construct(unsigned long long) 0.00960336 cpp_rational 256 +(value_type) 0.0391054 cpp_rational 256 -(value_type) 0.0467416 cpp_rational 256 *(value_type) 0.600225 cpp_rational 256 /(value_type) 0.596248 cpp_rational 256 +=(value_type) 0.0422867 cpp_rational 256 -=(value_type) 0.0490152 cpp_rational 256 *=(value_type) 0.629302 cpp_rational 256 /=(value_type) 0.689514 cpp_rational 256 +(unsigned long long) 0.0241089 cpp_rational 256 -(unsigned long long) 0.0496956 cpp_rational 256 *(unsigned long long) 0.240069 cpp_rational 256 /(unsigned long long) 0.216019 cpp_rational 256 +=(unsigned long long) 0.0371419 cpp_rational 256 -=(unsigned long long) 0.0439181 cpp_rational 256 *=(unsigned long long) 0.226179 cpp_rational 256 /=(unsigned long long) 0.235781 cpp_rational 512 + 3.41194 cpp_rational 512 - 3.49648 cpp_rational 512 * 6.73224 cpp_rational 512 / 13.2036 cpp_rational 512 str 0.00662873 cpp_rational 512 +(int) 0.020452 cpp_rational 512 -(int) 0.035503 cpp_rational 512 *(int) 0.118274 cpp_rational 512 /(int) 0.104628 cpp_rational 512 construct 0.0083784 cpp_rational 512 construct(unsigned) 0.00618635 cpp_rational 512 construct(unsigned long long) 0.00769898 cpp_rational 512 +(value_type) 0.044067 cpp_rational 512 -(value_type) 0.0548939 cpp_rational 512 *(value_type) 0.803009 cpp_rational 512 /(value_type) 0.809662 cpp_rational 512 +=(value_type) 0.0564267 cpp_rational 512 -=(value_type) 0.053198 cpp_rational 512 *=(value_type) 0.8029 cpp_rational 512 /=(value_type) 0.832288 cpp_rational 512 +(unsigned long long) 0.0297836 cpp_rational 512 -(unsigned long long) 0.0461985 cpp_rational 512 *(unsigned long long) 0.298935 cpp_rational 512 /(unsigned long long) 0.292536 cpp_rational 512 +=(unsigned long long) 0.0556987 cpp_rational 512 -=(unsigned long long) 0.0491612 cpp_rational 512 *=(unsigned long long) 0.319695 cpp_rational 512 /=(unsigned long long) 0.314161 cpp_rational 1024 + 8.04044 cpp_rational 1024 - 7.71926 cpp_rational 1024 * 14.4259 cpp_rational 1024 / 29.3236 cpp_rational 1024 str 0.0174979 cpp_rational 1024 +(int) 0.0449351 cpp_rational 1024 -(int) 0.0577029 cpp_rational 1024 *(int) 0.218283 cpp_rational 1024 /(int) 0.207067 cpp_rational 1024 construct 0.00962697 cpp_rational 1024 construct(unsigned) 0.00923644 cpp_rational 1024 construct(unsigned long long) 0.0176689 cpp_rational 1024 +(value_type) 0.105801 cpp_rational 1024 -(value_type) 0.103471 cpp_rational 1024 *(value_type) 1.54645 cpp_rational 1024 /(value_type) 1.38001 cpp_rational 1024 +=(value_type) 0.0840696 cpp_rational 1024 -=(value_type) 0.0881228 cpp_rational 1024 *=(value_type) 1.37083 cpp_rational 1024 /=(value_type) 1.37478 cpp_rational 1024 +(unsigned long long) 0.046594 cpp_rational 1024 -(unsigned long long) 0.0581714 cpp_rational 1024 *(unsigned long long) 0.448194 cpp_rational 1024 /(unsigned long long) 0.435259 cpp_rational 1024 +=(unsigned long long) 0.0662456 cpp_rational 1024 -=(unsigned long long) 0.071761 cpp_rational 1024 *=(unsigned long long) 0.485819 cpp_rational 1024 /=(unsigned long long) 0.460033 mpq_rational 128 + 0.188327 mpq_rational 128 - 0.198113 mpq_rational 128 * 0.398662 mpq_rational 128 / 1.12509 mpq_rational 128 str 0.000272779 mpq_rational 128 +(int) 0.00859669 mpq_rational 128 -(int) 0.0119819 mpq_rational 128 *(int) 0.0338803 mpq_rational 128 /(int) 0.0650149 mpq_rational 128 construct 0.0195942 mpq_rational 128 construct(unsigned) 0.0434929 mpq_rational 128 construct(unsigned long long) 0.0392716 mpq_rational 128 +(value_type) 0.0207456 mpq_rational 128 -(value_type) 0.0241541 mpq_rational 128 *(value_type) 0.20698 mpq_rational 128 /(value_type) 0.236534 mpq_rational 128 +=(value_type) 0.0174923 mpq_rational 128 -=(value_type) 0.023896 mpq_rational 128 *=(value_type) 0.206213 mpq_rational 128 /=(value_type) 0.233487 mpq_rational 128 +(unsigned long long) 0.0085503 mpq_rational 128 -(unsigned long long) 0.0101037 mpq_rational 128 *(unsigned long long) 0.100601 mpq_rational 128 /(unsigned long long) 0.129932 mpq_rational 128 +=(unsigned long long) 0.00775585 mpq_rational 128 -=(unsigned long long) 0.00991947 mpq_rational 128 *=(unsigned long long) 0.107424 mpq_rational 128 /=(unsigned long long) 0.136121 mpq_rational 256 + 0.776716 mpq_rational 256 - 0.791584 mpq_rational 256 * 1.50207 mpq_rational 256 / 2.82848 mpq_rational 256 str 0.000434761 mpq_rational 256 +(int) 0.0101891 mpq_rational 256 -(int) 0.013618 mpq_rational 256 *(int) 0.0475114 mpq_rational 256 /(int) 0.0713565 mpq_rational 256 construct 0.0204126 mpq_rational 256 construct(unsigned) 0.0485316 mpq_rational 256 construct(unsigned long long) 0.0568506 mpq_rational 256 +(value_type) 0.0245401 mpq_rational 256 -(value_type) 0.030741 mpq_rational 256 *(value_type) 0.247956 mpq_rational 256 /(value_type) 0.270701 mpq_rational 256 +=(value_type) 0.0202988 mpq_rational 256 -=(value_type) 0.0240502 mpq_rational 256 *=(value_type) 0.241165 mpq_rational 256 /=(value_type) 0.269395 mpq_rational 256 +(unsigned long long) 0.0104799 mpq_rational 256 -(unsigned long long) 0.0117459 mpq_rational 256 *(unsigned long long) 0.102844 mpq_rational 256 /(unsigned long long) 0.131923 mpq_rational 256 +=(unsigned long long) 0.00984535 mpq_rational 256 -=(unsigned long long) 0.0117724 mpq_rational 256 *=(unsigned long long) 0.103523 mpq_rational 256 /=(unsigned long long) 0.137652 mpq_rational 512 + 1.93921 mpq_rational 512 - 1.98459 mpq_rational 512 * 3.60314 mpq_rational 512 / 6.22726 mpq_rational 512 str 0.00103828 mpq_rational 512 +(int) 0.014773 mpq_rational 512 -(int) 0.0238773 mpq_rational 512 *(int) 0.0548556 mpq_rational 512 /(int) 0.0961679 mpq_rational 512 construct 0.0221797 mpq_rational 512 construct(unsigned) 0.0513108 mpq_rational 512 construct(unsigned long long) 0.0695842 mpq_rational 512 +(value_type) 0.0348044 mpq_rational 512 -(value_type) 0.0417365 mpq_rational 512 *(value_type) 0.302865 mpq_rational 512 /(value_type) 0.329335 mpq_rational 512 +=(value_type) 0.0355556 mpq_rational 512 -=(value_type) 0.0287769 mpq_rational 512 *=(value_type) 0.282857 mpq_rational 512 /=(value_type) 0.333863 mpq_rational 512 +(unsigned long long) 0.016419 mpq_rational 512 -(unsigned long long) 0.0274924 mpq_rational 512 *(unsigned long long) 0.158713 mpq_rational 512 /(unsigned long long) 0.173528 mpq_rational 512 +=(unsigned long long) 0.0204678 mpq_rational 512 -=(unsigned long long) 0.0267879 mpq_rational 512 *=(unsigned long long) 0.131194 mpq_rational 512 /=(unsigned long long) 0.176279 mpq_rational 1024 + 3.79923 mpq_rational 1024 - 3.79396 mpq_rational 1024 * 7.3374 mpq_rational 1024 / 12.4178 mpq_rational 1024 str 0.00192772 mpq_rational 1024 +(int) 0.024704 mpq_rational 1024 -(int) 0.0295391 mpq_rational 1024 *(int) 0.0900656 mpq_rational 1024 /(int) 0.16035 mpq_rational 1024 construct 0.0277033 mpq_rational 1024 construct(unsigned) 0.0533278 mpq_rational 1024 construct(unsigned long long) 0.0650815 mpq_rational 1024 +(value_type) 0.0541719 mpq_rational 1024 -(value_type) 0.0478777 mpq_rational 1024 *(value_type) 0.332089 mpq_rational 1024 /(value_type) 0.355055 mpq_rational 1024 +=(value_type) 0.0453556 mpq_rational 1024 -=(value_type) 0.041857 mpq_rational 1024 *=(value_type) 0.31582 mpq_rational 1024 /=(value_type) 0.391409 mpq_rational 1024 +(unsigned long long) 0.0270577 mpq_rational 1024 -(unsigned long long) 0.040243 mpq_rational 1024 *(unsigned long long) 0.16579 mpq_rational 1024 /(unsigned long long) 0.246334 mpq_rational 1024 +=(unsigned long long) 0.032877 mpq_rational 1024 -=(unsigned long long) 0.0384444 mpq_rational 1024 *=(unsigned long long) 0.179978 mpq_rational 1024 /=(unsigned long long) 0.231505 tommath_int 128 + 0.0119929 tommath_int 128 - 0.0179911 tommath_int 128 * 0.0198027 tommath_int 128 / 1.11768 tommath_int 128 str 0.00299152 tommath_int 128 +(int) 0.0889366 tommath_int 128 -(int) 0.0917047 tommath_int 128 *(int) 0.103447 tommath_int 128 /(int) 0.69963 tommath_int 128 construct 0.147542 tommath_int 128 construct(unsigned) 0.180915 tommath_int 128 construct(unsigned long long) 0.165695 tommath_int 128 % 0.874748 tommath_int 128 | 0.00739324 tommath_int 128 & 0.00780901 tommath_int 128 ^ 0.00825059 tommath_int 128 << 0.0126218 tommath_int 128 >> 0.0959319 tommath_int 128 %(int) 0.545134 tommath_int 128 |(int) 0.0839291 tommath_int 128 &(int) 0.0965583 tommath_int 128 ^(int) 0.0968501 tommath_int 128 gcd 1.36458 tommath_int 128 powm 0.421869 tommath_int 128 +(unsigned long long) 0.0907784 tommath_int 128 -(unsigned long long) 0.0828488 tommath_int 128 *(unsigned long long) 0.107341 tommath_int 128 /(unsigned long long) 0.604848 tommath_int 128 +=(unsigned long long) 0.0768906 tommath_int 128 -=(unsigned long long) 0.0847801 tommath_int 128 *=(unsigned long long) 0.0959064 tommath_int 128 /=(unsigned long long) 0.619583 tommath_int 256 + 0.00709542 tommath_int 256 - 0.011194 tommath_int 256 * 0.0326465 tommath_int 256 / 0.989116 tommath_int 256 str 0.00597113 tommath_int 256 +(int) 0.0832749 tommath_int 256 -(int) 0.0820224 tommath_int 256 *(int) 0.0942242 tommath_int 256 /(int) 0.769191 tommath_int 256 construct 0.154596 tommath_int 256 construct(unsigned) 0.190967 tommath_int 256 construct(unsigned long long) 0.166489 tommath_int 256 % 1.03711 tommath_int 256 | 0.00891185 tommath_int 256 & 0.00928657 tommath_int 256 ^ 0.0113947 tommath_int 256 << 0.0201243 tommath_int 256 >> 0.0951565 tommath_int 256 %(int) 0.807325 tommath_int 256 |(int) 0.102949 tommath_int 256 &(int) 0.0990734 tommath_int 256 ^(int) 0.107261 tommath_int 256 gcd 3.38266 tommath_int 256 powm 1.29063 tommath_int 256 +(unsigned long long) 0.0981367 tommath_int 256 -(unsigned long long) 0.0941371 tommath_int 256 *(unsigned long long) 0.109883 tommath_int 256 /(unsigned long long) 0.876321 tommath_int 256 +=(unsigned long long) 0.0951277 tommath_int 256 -=(unsigned long long) 0.0957029 tommath_int 256 *=(unsigned long long) 0.117129 tommath_int 256 /=(unsigned long long) 0.964961 tommath_int 512 + 0.0133422 tommath_int 512 - 0.017801 tommath_int 512 * 0.0847288 tommath_int 512 / 1.38686 tommath_int 512 str 0.0190933 tommath_int 512 +(int) 0.0870848 tommath_int 512 -(int) 0.0820267 tommath_int 512 *(int) 0.0973642 tommath_int 512 /(int) 0.938285 tommath_int 512 construct 0.13579 tommath_int 512 construct(unsigned) 0.157218 tommath_int 512 construct(unsigned long long) 0.155821 tommath_int 512 % 1.29969 tommath_int 512 | 0.0112155 tommath_int 512 & 0.0113032 tommath_int 512 ^ 0.0126854 tommath_int 512 << 0.0215291 tommath_int 512 >> 0.0932504 tommath_int 512 %(int) 0.930702 tommath_int 512 |(int) 0.0775007 tommath_int 512 &(int) 0.0815778 tommath_int 512 ^(int) 0.079649 tommath_int 512 gcd 7.37824 tommath_int 512 powm 3.21051 tommath_int 512 +(unsigned long long) 0.0860324 tommath_int 512 -(unsigned long long) 0.0825755 tommath_int 512 *(unsigned long long) 0.107907 tommath_int 512 /(unsigned long long) 1.07209 tommath_int 512 +=(unsigned long long) 0.0792569 tommath_int 512 -=(unsigned long long) 0.0820388 tommath_int 512 *=(unsigned long long) 0.114277 tommath_int 512 /=(unsigned long long) 1.00956 tommath_int 1024 + 0.0143218 tommath_int 1024 - 0.0192393 tommath_int 1024 * 0.168568 tommath_int 1024 / 1.84837 tommath_int 1024 str 0.0582251 tommath_int 1024 +(int) 0.0809152 tommath_int 1024 -(int) 0.0915478 tommath_int 1024 *(int) 0.110883 tommath_int 1024 /(int) 1.48179 tommath_int 1024 construct 0.128148 tommath_int 1024 construct(unsigned) 0.150237 tommath_int 1024 construct(unsigned long long) 0.143768 tommath_int 1024 % 1.75398 tommath_int 1024 | 0.0160686 tommath_int 1024 & 0.0244762 tommath_int 1024 ^ 0.0195826 tommath_int 1024 << 0.0361972 tommath_int 1024 >> 0.0955953 tommath_int 1024 %(int) 1.36603 tommath_int 1024 |(int) 0.0767652 tommath_int 1024 &(int) 0.0869813 tommath_int 1024 ^(int) 0.0866224 tommath_int 1024 gcd 15.4317 tommath_int 1024 powm 12.628 tommath_int 1024 +(unsigned long long) 0.0806864 tommath_int 1024 -(unsigned long long) 0.0801335 tommath_int 1024 *(unsigned long long) 0.118102 tommath_int 1024 /(unsigned long long) 1.69916 tommath_int 1024 +=(unsigned long long) 0.0929332 tommath_int 1024 -=(unsigned long long) 0.100611 tommath_int 1024 *=(unsigned long long) 0.152996 tommath_int 1024 /=(unsigned long long) 1.68307 cpp_dec_float 50 + 0.0198859 cpp_dec_float 50 - 0.0194363 cpp_dec_float 50 * 0.061884 cpp_dec_float 50 / 0.83092 cpp_dec_float 50 str 0.00145276 cpp_dec_float 50 +(int) 0.0143136 cpp_dec_float 50 -(int) 0.0216737 cpp_dec_float 50 *(int) 0.0630393 cpp_dec_float 50 /(int) 0.40163 cpp_dec_float 50 construct 0.00383901 cpp_dec_float 50 construct(unsigned) 0.00770653 cpp_dec_float 50 construct(unsigned long long) 0.00840151 cpp_dec_float 50 +(unsigned long long) 0.0231609 cpp_dec_float 50 -(unsigned long long) 0.0248419 cpp_dec_float 50 *(unsigned long long) 0.0745654 cpp_dec_float 50 /(unsigned long long) 0.396014 cpp_dec_float 50 +=(unsigned long long) 0.017568 cpp_dec_float 50 -=(unsigned long long) 0.0249846 cpp_dec_float 50 *=(unsigned long long) 0.0706828 cpp_dec_float 50 /=(unsigned long long) 0.408938 cpp_dec_float 100 + 0.0216812 cpp_dec_float 100 - 0.0313385 cpp_dec_float 100 * 0.130292 cpp_dec_float 100 / 1.73437 cpp_dec_float 100 str 0.00180621 cpp_dec_float 100 +(int) 0.0169356 cpp_dec_float 100 -(int) 0.0263524 cpp_dec_float 100 *(int) 0.125171 cpp_dec_float 100 /(int) 0.861622 cpp_dec_float 100 construct 0.00443324 cpp_dec_float 100 construct(unsigned) 0.00867913 cpp_dec_float 100 construct(unsigned long long) 0.00854971 cpp_dec_float 100 +(unsigned long long) 0.0292658 cpp_dec_float 100 -(unsigned long long) 0.0287785 cpp_dec_float 100 *(unsigned long long) 0.147631 cpp_dec_float 100 /(unsigned long long) 0.991001 cpp_dec_float 100 +=(unsigned long long) 0.0236933 cpp_dec_float 100 -=(unsigned long long) 0.0396995 cpp_dec_float 100 *=(unsigned long long) 0.172634 cpp_dec_float 100 /=(unsigned long long) 1.27727 cpp_dec_float 500 + 0.207727 cpp_dec_float 500 - 0.21259 cpp_dec_float 500 * 1.6902 cpp_dec_float 500 / 22.744 cpp_dec_float 500 str 0.0109211 cpp_dec_float 500 +(int) 0.151114 cpp_dec_float 500 -(int) 0.14371 cpp_dec_float 500 *(int) 2.44271 cpp_dec_float 500 /(int) 12.8722 cpp_dec_float 500 construct 0.0256013 cpp_dec_float 500 construct(unsigned) 0.0455813 cpp_dec_float 500 construct(unsigned long long) 0.0429815 cpp_dec_float 500 +(unsigned long long) 0.148942 cpp_dec_float 500 -(unsigned long long) 0.150724 cpp_dec_float 500 *(unsigned long long) 2.68446 cpp_dec_float 500 /(unsigned long long) 14.1836 cpp_dec_float 500 +=(unsigned long long) 0.186187 cpp_dec_float 500 -=(unsigned long long) 0.199025 cpp_dec_float 500 *=(unsigned long long) 2.40228 cpp_dec_float 500 /=(unsigned long long) 10.9233 cpp_bin_float 50 + 0.0479759 cpp_bin_float 50 - 0.0688937 cpp_bin_float 50 * 0.0720574 cpp_bin_float 50 / 0.549759 cpp_bin_float 50 str 0.00301165 cpp_bin_float 50 +(int) 0.0524679 cpp_bin_float 50 -(int) 0.0848243 cpp_bin_float 50 *(int) 0.0399504 cpp_bin_float 50 /(int) 0.141651 cpp_bin_float 50 construct 0.0030982 cpp_bin_float 50 construct(unsigned) 0.00808983 cpp_bin_float 50 construct(unsigned long long) 0.0175206 cpp_bin_float 50 +(unsigned long long) 0.109321 cpp_bin_float 50 -(unsigned long long) 0.102878 cpp_bin_float 50 *(unsigned long long) 0.0508387 cpp_bin_float 50 /(unsigned long long) 0.19558 cpp_bin_float 50 +=(unsigned long long) 0.109847 cpp_bin_float 50 -=(unsigned long long) 0.129938 cpp_bin_float 50 *=(unsigned long long) 0.0500366 cpp_bin_float 50 /=(unsigned long long) 0.215322 cpp_bin_float 100 + 0.0901201 cpp_bin_float 100 - 0.0896788 cpp_bin_float 100 * 0.111688 cpp_bin_float 100 / 1.39191 cpp_bin_float 100 str 0.0051705 cpp_bin_float 100 +(int) 0.0871804 cpp_bin_float 100 -(int) 0.084402 cpp_bin_float 100 *(int) 0.0464923 cpp_bin_float 100 /(int) 0.271491 cpp_bin_float 100 construct 0.00608929 cpp_bin_float 100 construct(unsigned) 0.0120486 cpp_bin_float 100 construct(unsigned long long) 0.0267453 cpp_bin_float 100 +(unsigned long long) 0.128103 cpp_bin_float 100 -(unsigned long long) 0.0883961 cpp_bin_float 100 *(unsigned long long) 0.0540758 cpp_bin_float 100 /(unsigned long long) 0.244599 cpp_bin_float 100 +=(unsigned long long) 0.0942496 cpp_bin_float 100 -=(unsigned long long) 0.101449 cpp_bin_float 100 *=(unsigned long long) 0.0547429 cpp_bin_float 100 /=(unsigned long long) 0.256093 cpp_bin_float 500 + 0.219881 cpp_bin_float 500 - 0.196627 cpp_bin_float 500 * 0.850904 cpp_bin_float 500 / 5.32129 cpp_bin_float 500 str 0.043165 cpp_bin_float 500 +(int) 0.165014 cpp_bin_float 500 -(int) 0.181209 cpp_bin_float 500 *(int) 0.12206 cpp_bin_float 500 /(int) 0.643802 cpp_bin_float 500 construct 0.0152335 cpp_bin_float 500 construct(unsigned) 0.0530205 cpp_bin_float 500 construct(unsigned long long) 0.0570308 cpp_bin_float 500 +(unsigned long long) 0.16427 cpp_bin_float 500 -(unsigned long long) 0.185162 cpp_bin_float 500 *(unsigned long long) 0.0843974 cpp_bin_float 500 /(unsigned long long) 0.621615 cpp_bin_float 500 +=(unsigned long long) 0.157162 cpp_bin_float 500 -=(unsigned long long) 0.163157 cpp_bin_float 500 *=(unsigned long long) 0.0987612 cpp_bin_float 500 /=(unsigned long long) 0.638041 mpfr_float 50 + 0.0106639 mpfr_float 50 - 0.0274747 mpfr_float 50 * 0.026548 mpfr_float 50 / 0.239385 mpfr_float 50 str 0.000800609 mpfr_float 50 +(int) 0.029943 mpfr_float 50 -(int) 0.0662094 mpfr_float 50 *(int) 0.022273 mpfr_float 50 /(int) 0.0362858 mpfr_float 50 construct 0.04809 mpfr_float 50 construct(unsigned) 0.0751445 mpfr_float 50 construct(unsigned long long) 0.0787188 mpfr_float 50 +(unsigned long long) 0.0240813 mpfr_float 50 -(unsigned long long) 0.0438217 mpfr_float 50 *(unsigned long long) 0.0207341 mpfr_float 50 /(unsigned long long) 0.0603899 mpfr_float 50 +=(unsigned long long) 0.0528778 mpfr_float 50 -=(unsigned long long) 0.0613088 mpfr_float 50 *=(unsigned long long) 0.0350654 mpfr_float 50 /=(unsigned long long) 0.0458197 mpfr_float 50 + 0.0183477 mpfr_float 50 - 0.0241287 mpfr_float 50 * 0.0161758 mpfr_float 50 / 0.169939 mpfr_float 50 str 0.00227407 mpfr_float 50 +(int) 0.0256829 mpfr_float 50 -(int) 0.0692297 mpfr_float 50 *(int) 0.0336498 mpfr_float 50 /(int) 0.0549347 mpfr_float 50 construct 0.0773304 mpfr_float 50 construct(unsigned) 0.102564 mpfr_float 50 construct(unsigned long long) 0.08974 mpfr_float 50 +(unsigned long long) 0.0261189 mpfr_float 50 -(unsigned long long) 0.0606961 mpfr_float 50 *(unsigned long long) 0.0276134 mpfr_float 50 /(unsigned long long) 0.0520857 mpfr_float 50 +=(unsigned long long) 0.0571878 mpfr_float 50 -=(unsigned long long) 0.0589902 mpfr_float 50 *=(unsigned long long) 0.0229147 mpfr_float 50 /=(unsigned long long) 0.0523141 mpfr_float 100 + 0.0190178 mpfr_float 100 - 0.0395976 mpfr_float 100 * 0.0661794 mpfr_float 100 / 0.300455 mpfr_float 100 str 0.00132816 mpfr_float 100 +(int) 0.0300081 mpfr_float 100 -(int) 0.0654074 mpfr_float 100 *(int) 0.0339721 mpfr_float 100 /(int) 0.0592293 mpfr_float 100 construct 0.0866815 mpfr_float 100 construct(unsigned) 0.0730204 mpfr_float 100 construct(unsigned long long) 0.0720298 mpfr_float 100 +(unsigned long long) 0.0290995 mpfr_float 100 -(unsigned long long) 0.056868 mpfr_float 100 *(unsigned long long) 0.0276341 mpfr_float 100 /(unsigned long long) 0.0628383 mpfr_float 100 +=(unsigned long long) 0.0502709 mpfr_float 100 -=(unsigned long long) 0.0731736 mpfr_float 100 *=(unsigned long long) 0.0348128 mpfr_float 100 /=(unsigned long long) 0.071302 mpfr_float 500 + 0.0609463 mpfr_float 500 - 0.0646638 mpfr_float 500 * 0.321884 mpfr_float 500 / 1.2162 mpfr_float 500 str 0.0048926 mpfr_float 500 +(int) 0.062913 mpfr_float 500 -(int) 0.0711089 mpfr_float 500 *(int) 0.0792629 mpfr_float 500 /(int) 0.126251 mpfr_float 500 construct 0.0762248 mpfr_float 500 construct(unsigned) 0.0813206 mpfr_float 500 construct(unsigned long long) 0.0785786 mpfr_float 500 +(unsigned long long) 0.0616622 mpfr_float 500 -(unsigned long long) 0.0905736 mpfr_float 500 *(unsigned long long) 0.0506668 mpfr_float 500 /(unsigned long long) 0.117803 mpfr_float 500 +=(unsigned long long) 0.0787754 mpfr_float 500 -=(unsigned long long) 0.105476 mpfr_float 500 *=(unsigned long long) 0.0716736 mpfr_float 500 /=(unsigned long long) 0.122477 gmp_int 2048 + 0.0179704 gmp_int 2048 - 0.017975 gmp_int 2048 * 0.361988 gmp_int 2048 / 0.149182 gmp_int 2048 str 0.00244981 gmp_int 2048 +(int) 0.0118266 gmp_int 2048 -(int) 0.0117639 gmp_int 2048 *(int) 0.0241013 gmp_int 2048 /(int) 0.0972941 gmp_int 2048 construct 0.00384029 gmp_int 2048 construct(unsigned) 0.0286091 gmp_int 2048 construct(unsigned long long) 0.0290565 gmp_int 2048 % 0.142738 gmp_int 2048 | 0.0152602 gmp_int 2048 & 0.015523 gmp_int 2048 ^ 0.0244266 gmp_int 2048 << 0.039948 gmp_int 2048 >> 0.00453774 gmp_int 2048 %(int) 0.0436939 gmp_int 2048 |(int) 0.0277685 gmp_int 2048 &(int) 0.0176239 gmp_int 2048 ^(int) 0.0298873 gmp_int 2048 gcd 8.18516 gmp_int 2048 +(unsigned long long) 0.0161988 gmp_int 2048 -(unsigned long long) 0.0184622 gmp_int 2048 *(unsigned long long) 0.0209189 gmp_int 2048 /(unsigned long long) 0.0759658 gmp_int 2048 +=(unsigned long long) 0.0160693 gmp_int 2048 -=(unsigned long long) 0.0219074 gmp_int 2048 *=(unsigned long long) 0.0301309 gmp_int 2048 /=(unsigned long long) 0.0919138 gmp_int 4096 + 0.0300729 gmp_int 4096 - 0.0321962 gmp_int 4096 * 1.11701 gmp_int 4096 / 0.208719 gmp_int 4096 str 0.00486654 gmp_int 4096 +(int) 0.0195694 gmp_int 4096 -(int) 0.0225873 gmp_int 4096 *(int) 0.0477494 gmp_int 4096 /(int) 0.156597 gmp_int 4096 construct 0.00385483 gmp_int 4096 construct(unsigned) 0.0220052 gmp_int 4096 construct(unsigned long long) 0.0244927 gmp_int 4096 % 0.24073 gmp_int 4096 | 0.0365187 gmp_int 4096 & 0.0384586 gmp_int 4096 ^ 0.0429561 gmp_int 4096 << 0.0597248 gmp_int 4096 >> 0.00313265 gmp_int 4096 %(int) 0.0571251 gmp_int 4096 |(int) 0.0360071 gmp_int 4096 &(int) 0.0121449 gmp_int 4096 ^(int) 0.0406408 gmp_int 4096 gcd 18.7879 gmp_int 4096 +(unsigned long long) 0.0174726 gmp_int 4096 -(unsigned long long) 0.0220616 gmp_int 4096 *(unsigned long long) 0.0321931 gmp_int 4096 /(unsigned long long) 0.125208 gmp_int 4096 +=(unsigned long long) 0.0221405 gmp_int 4096 -=(unsigned long long) 0.0250737 gmp_int 4096 *=(unsigned long long) 0.0457849 gmp_int 4096 /=(unsigned long long) 0.14699 cpp_int 2688 + 0.0336398 cpp_int 2688 - 0.037733 cpp_int 2688 * 1.31825 cpp_int 2688 / 1.00586 cpp_int 2688 str 0.0237422 cpp_int 2688 +(int) 0.024805 cpp_int 2688 -(int) 0.032706 cpp_int 2688 *(int) 0.0426049 cpp_int 2688 /(int) 0.859876 cpp_int 2688 construct 0.00240729 cpp_int 2688 construct(unsigned) 0.00241711 cpp_int 2688 construct(unsigned long long) 0.00288069 cpp_int 2688 % 0.398213 cpp_int 2688 | 0.0334167 cpp_int 2688 & 0.0366949 cpp_int 2688 ^ 0.0475314 cpp_int 2688 << 0.0753453 cpp_int 2688 >> 0.0183679 cpp_int 2688 %(int) 0.301827 cpp_int 2688 |(int) 0.0214828 cpp_int 2688 &(int) 0.0612567 cpp_int 2688 ^(int) 0.0206665 cpp_int 2688 gcd 21.9738 cpp_int 2688 +(unsigned long long) 0.0294774 cpp_int 2688 -(unsigned long long) 0.0222548 cpp_int 2688 *(unsigned long long) 0.052584 cpp_int 2688 /(unsigned long long) 0.832241 cpp_int 2688 +=(unsigned long long) 0.0201879 cpp_int 2688 -=(unsigned long long) 0.0277295 cpp_int 2688 *=(unsigned long long) 0.0527845 cpp_int 2688 /=(unsigned long long) 0.873081 cpp_int 2048 + 0.033949 cpp_int 2048 - 0.0507822 cpp_int 2048 * 0.918685 cpp_int 2048 / 0.702366 cpp_int 2048 str 0.0137593 cpp_int 2048 +(int) 0.0204874 cpp_int 2048 -(int) 0.0176467 cpp_int 2048 *(int) 0.047049 cpp_int 2048 /(int) 0.630264 cpp_int 2048 construct 0.00273948 cpp_int 2048 construct(unsigned) 0.00304865 cpp_int 2048 construct(unsigned long long) 0.00190833 cpp_int 2048 % 0.368469 cpp_int 2048 | 0.0293243 cpp_int 2048 & 0.0461406 cpp_int 2048 ^ 0.0405646 cpp_int 2048 << 0.0859331 cpp_int 2048 >> 0.0183489 cpp_int 2048 %(int) 0.288068 cpp_int 2048 |(int) 0.0309032 cpp_int 2048 &(int) 0.063826 cpp_int 2048 ^(int) 0.0264078 cpp_int 2048 gcd 17.7583 cpp_int 2048 +(unsigned long long) 0.0237404 cpp_int 2048 -(unsigned long long) 0.0235442 cpp_int 2048 *(unsigned long long) 0.0539343 cpp_int 2048 /(unsigned long long) 0.706562 cpp_int 2048 +=(unsigned long long) 0.0186902 cpp_int 2048 -=(unsigned long long) 0.0265754 cpp_int 2048 *=(unsigned long long) 0.0373067 cpp_int 2048 /=(unsigned long long) 0.632889 tommath_int 2048 + 0.0211244 tommath_int 2048 - 0.0279804 tommath_int 2048 * 0.460786 tommath_int 2048 / 3.07934 tommath_int 2048 str 0.202054 tommath_int 2048 +(int) 0.083639 tommath_int 2048 -(int) 0.0851246 tommath_int 2048 *(int) 0.135402 tommath_int 2048 /(int) 2.60921 tommath_int 2048 construct 0.130974 tommath_int 2048 construct(unsigned) 0.143494 tommath_int 2048 construct(unsigned long long) 0.163349 tommath_int 2048 % 3.33706 tommath_int 2048 | 0.0267336 tommath_int 2048 & 0.0364387 tommath_int 2048 ^ 0.0346198 tommath_int 2048 << 0.0693055 tommath_int 2048 >> 0.134364 tommath_int 2048 %(int) 2.60834 tommath_int 2048 |(int) 0.0913086 tommath_int 2048 &(int) 0.101302 tommath_int 2048 ^(int) 0.102478 tommath_int 2048 gcd 42.8729 tommath_int 2048 +(unsigned long long) 0.0926177 tommath_int 2048 -(unsigned long long) 0.100113 tommath_int 2048 *(unsigned long long) 0.169084 tommath_int 2048 /(unsigned long long) 3.12331 tommath_int 2048 +=(unsigned long long) 0.110375 tommath_int 2048 -=(unsigned long long) 0.105886 tommath_int 2048 *=(unsigned long long) 0.171704 tommath_int 2048 /=(unsigned long long) 3.0036 tommath_int 4096 + 0.0326177 tommath_int 4096 - 0.0532653 tommath_int 4096 * 1.58255 tommath_int 4096 / 6.59216 tommath_int 4096 str 0.754295 tommath_int 4096 +(int) 0.0938225 tommath_int 4096 -(int) 0.101291 tommath_int 4096 *(int) 0.196512 tommath_int 4096 /(int) 5.83504 tommath_int 4096 construct 0.13198 tommath_int 4096 construct(unsigned) 0.143689 tommath_int 4096 construct(unsigned long long) 0.146389 tommath_int 4096 % 6.41658 tommath_int 4096 | 0.0481236 tommath_int 4096 & 0.0552444 tommath_int 4096 ^ 0.0568037 tommath_int 4096 << 0.115375 tommath_int 4096 >> 0.196446 tommath_int 4096 %(int) 5.91797 tommath_int 4096 |(int) 0.109494 tommath_int 4096 &(int) 0.128712 tommath_int 4096 ^(int) 0.131519 tommath_int 4096 gcd 136.362 tommath_int 4096 +(unsigned long long) 0.108939 tommath_int 4096 -(unsigned long long) 0.101139 tommath_int 4096 *(unsigned long long) 0.220461 tommath_int 4096 /(unsigned long long) 7.25882 tommath_int 4096 +=(unsigned long long) 0.11456 tommath_int 4096 -=(unsigned long long) 0.117418 tommath_int 4096 *=(unsigned long long) 0.250847 tommath_int 4096 /=(unsigned long long) 7.09868 cpp_int 4096 + 0.0412289 cpp_int 4096 - 0.0463464 cpp_int 4096 * 2.65154 cpp_int 4096 / 1.18106 cpp_int 4096 str 0.0491109 cpp_int 4096 +(int) 0.0198385 cpp_int 4096 -(int) 0.0209158 cpp_int 4096 *(int) 0.0576663 cpp_int 4096 /(int) 1.08346 cpp_int 4096 construct 0.0017072 cpp_int 4096 construct(unsigned) 0.0018378 cpp_int 4096 construct(unsigned long long) 0.00199036 cpp_int 4096 % 0.512768 cpp_int 4096 | 0.0377549 cpp_int 4096 & 0.0440714 cpp_int 4096 ^ 0.0369865 cpp_int 4096 << 0.0889652 cpp_int 4096 >> 0.0219967 cpp_int 4096 %(int) 0.429244 cpp_int 4096 |(int) 0.0232284 cpp_int 4096 &(int) 0.0593859 cpp_int 4096 ^(int) 0.0235546 cpp_int 4096 gcd 32.2572 cpp_int 4096 +(unsigned long long) 0.0253811 cpp_int 4096 -(unsigned long long) 0.0242017 cpp_int 4096 *(unsigned long long) 0.0432066 cpp_int 4096 /(unsigned long long) 1.0584 cpp_int 4096 +=(unsigned long long) 0.0218483 cpp_int 4096 -=(unsigned long long) 0.0249248 cpp_int 4096 *=(unsigned long long) 0.0424701 cpp_int 4096 /=(unsigned long long) 1.05399 cpp_int 8192 + 0.083134 cpp_int 8192 - 0.0813138 cpp_int 8192 * 7.83314 cpp_int 8192 / 2.26453 cpp_int 8192 str 0.171316 cpp_int 8192 +(int) 0.0338486 cpp_int 8192 -(int) 0.0402632 cpp_int 8192 *(int) 0.0955853 cpp_int 8192 /(int) 2.33772 cpp_int 8192 construct 0.00191549 cpp_int 8192 construct(unsigned) 0.0017583 cpp_int 8192 construct(unsigned long long) 0.00200998 cpp_int 8192 % 1.03083 cpp_int 8192 | 0.0916779 cpp_int 8192 & 0.0811524 cpp_int 8192 ^ 0.0918676 cpp_int 8192 << 0.190562 cpp_int 8192 >> 0.0537598 cpp_int 8192 %(int) 0.851447 cpp_int 8192 |(int) 0.042441 cpp_int 8192 &(int) 0.102968 cpp_int 8192 ^(int) 0.0392727 cpp_int 8192 gcd 76.6459 cpp_int 8192 +(unsigned long long) 0.0350422 cpp_int 8192 -(unsigned long long) 0.0317445 cpp_int 8192 *(unsigned long long) 0.0813634 cpp_int 8192 /(unsigned long long) 2.14867 cpp_int 8192 +=(unsigned long long) 0.0394761 cpp_int 8192 -=(unsigned long long) 0.0377524 cpp_int 8192 *=(unsigned long long) 0.0946934 cpp_int 8192 /=(unsigned long long) 2.14442 cpp_int 16384 + 0.190174 cpp_int 16384 - 0.191562 cpp_int 16384 * 26.1836 cpp_int 16384 / 4.52755 cpp_int 16384 str 0.595522 cpp_int 16384 +(int) 0.0760202 cpp_int 16384 -(int) 0.0674681 cpp_int 16384 *(int) 0.167493 cpp_int 16384 /(int) 4.22641 cpp_int 16384 construct 0.0016635 cpp_int 16384 construct(unsigned) 0.00197229 cpp_int 16384 construct(unsigned long long) 0.00168004 cpp_int 16384 % 1.96988 cpp_int 16384 | 0.152323 cpp_int 16384 & 0.146531 cpp_int 16384 ^ 0.150955 cpp_int 16384 << 0.32803 cpp_int 16384 >> 0.0745484 cpp_int 16384 %(int) 1.57951 cpp_int 16384 |(int) 0.0711061 cpp_int 16384 &(int) 0.168385 cpp_int 16384 ^(int) 0.0657809 cpp_int 16384 gcd 201.791 cpp_int 16384 +(unsigned long long) 0.0761856 cpp_int 16384 -(unsigned long long) 0.0783054 cpp_int 16384 *(unsigned long long) 0.159452 cpp_int 16384 /(unsigned long long) 4.2547 cpp_int 16384 +=(unsigned long long) 0.0783171 cpp_int 16384 -=(unsigned long long) 0.070851 cpp_int 16384 *=(unsigned long long) 0.177219 cpp_int 16384 /=(unsigned long long) 4.37618 tommath_int 8192 + 0.060658 tommath_int 8192 - 0.0884881 tommath_int 8192 * 7.13744 tommath_int 8192 / 17.0525 tommath_int 8192 str 2.82013 tommath_int 8192 +(int) 0.11778 tommath_int 8192 -(int) 0.115431 tommath_int 8192 *(int) 0.30587 tommath_int 8192 /(int) 15.4756 tommath_int 8192 construct 0.126578 tommath_int 8192 construct(unsigned) 0.144368 tommath_int 8192 construct(unsigned long long) 0.139445 tommath_int 8192 % 17.1548 tommath_int 8192 | 0.0880424 tommath_int 8192 & 0.10108 tommath_int 8192 ^ 0.0996668 tommath_int 8192 << 0.222116 tommath_int 8192 >> 0.358689 tommath_int 8192 %(int) 16.0225 tommath_int 8192 |(int) 0.150489 tommath_int 8192 &(int) 0.18102 tommath_int 8192 ^(int) 0.190136 tommath_int 8192 gcd 471.81 tommath_int 8192 +(unsigned long long) 0.117648 tommath_int 8192 -(unsigned long long) 0.118991 tommath_int 8192 *(unsigned long long) 0.361697 tommath_int 8192 /(unsigned long long) 19.8407 tommath_int 8192 +=(unsigned long long) 0.159384 tommath_int 8192 -=(unsigned long long) 0.189292 tommath_int 8192 *=(unsigned long long) 0.453899 tommath_int 8192 /=(unsigned long long) 20.7357 tommath_int 16384 + 0.229295 tommath_int 16384 - 0.358805 tommath_int 16384 * 25.8824 tommath_int 16384 / 51.7759 tommath_int 16384 str 11.1251 tommath_int 16384 +(int) 0.176275 tommath_int 16384 -(int) 0.179066 tommath_int 16384 *(int) 0.548109 tommath_int 16384 /(int) 50.0929 tommath_int 16384 construct 0.160796 tommath_int 16384 construct(unsigned) 0.182018 tommath_int 16384 construct(unsigned long long) 0.191943 tommath_int 16384 % 51.233 tommath_int 16384 | 0.213797 tommath_int 16384 & 0.245997 tommath_int 16384 ^ 0.234837 tommath_int 16384 << 0.538044 tommath_int 16384 >> 0.899272 tommath_int 16384 %(int) 54.083 tommath_int 16384 |(int) 0.205729 tommath_int 16384 &(int) 0.276527 tommath_int 16384 ^(int) 0.314742 tommath_int 16384 gcd 1770.72 tommath_int 16384 +(unsigned long long) 0.175822 tommath_int 16384 -(unsigned long long) 0.175887 tommath_int 16384 *(unsigned long long) 0.667264 tommath_int 16384 /(unsigned long long) 57.2509 tommath_int 16384 +=(unsigned long long) 0.226317 tommath_int 16384 -=(unsigned long long) 0.2213 tommath_int 16384 *=(unsigned long long) 0.690731 tommath_int 16384 /=(unsigned long long) 67.9296 gmp_int 8192 + 0.0811195 gmp_int 8192 - 0.11812 gmp_int 8192 * 5.52441 gmp_int 8192 / 0.516606 gmp_int 8192 str 0.0262254 gmp_int 8192 +(int) 0.0700979 gmp_int 8192 -(int) 0.0576919 gmp_int 8192 *(int) 0.113505 gmp_int 8192 /(int) 0.410334 gmp_int 8192 construct 0.0081635 gmp_int 8192 construct(unsigned) 0.0635939 gmp_int 8192 construct(unsigned long long) 0.0709692 gmp_int 8192 % 0.603534 gmp_int 8192 | 0.0920584 gmp_int 8192 & 0.0887291 gmp_int 8192 ^ 0.0805332 gmp_int 8192 << 0.146992 gmp_int 8192 >> 0.00722919 gmp_int 8192 %(int) 0.119886 gmp_int 8192 |(int) 0.0874534 gmp_int 8192 &(int) 0.0150182 gmp_int 8192 ^(int) 0.0788165 gmp_int 8192 gcd 58.8129 gmp_int 8192 +(unsigned long long) 0.0466003 gmp_int 8192 -(unsigned long long) 0.0435595 gmp_int 8192 *(unsigned long long) 0.0886586 gmp_int 8192 /(unsigned long long) 0.288938 gmp_int 8192 +=(unsigned long long) 0.0570676 gmp_int 8192 -=(unsigned long long) 0.05295 gmp_int 8192 *=(unsigned long long) 0.108914 gmp_int 8192 /=(unsigned long long) 0.319457 gmp_int 16384 + 0.134715 gmp_int 16384 - 0.14931 gmp_int 16384 * 11.3398 gmp_int 16384 / 0.638503 gmp_int 16384 str 0.0398493 gmp_int 16384 +(int) 0.0772241 gmp_int 16384 -(int) 0.0818204 gmp_int 16384 *(int) 0.137745 gmp_int 16384 /(int) 0.595404 gmp_int 16384 construct 0.00397999 gmp_int 16384 construct(unsigned) 0.0276289 gmp_int 16384 construct(unsigned long long) 0.0219346 gmp_int 16384 % 0.723753 gmp_int 16384 | 0.111118 gmp_int 16384 & 0.112421 gmp_int 16384 ^ 0.124214 gmp_int 16384 << 0.206887 gmp_int 16384 >> 0.00655899 gmp_int 16384 %(int) 0.137682 gmp_int 16384 |(int) 0.115602 gmp_int 16384 &(int) 0.0212413 gmp_int 16384 ^(int) 0.139399 gmp_int 16384 gcd 122.14 gmp_int 16384 +(unsigned long long) 0.0668364 gmp_int 16384 -(unsigned long long) 0.0661641 gmp_int 16384 *(unsigned long long) 0.12958 gmp_int 16384 /(unsigned long long) 0.523737 gmp_int 16384 +=(unsigned long long) 0.0841208 gmp_int 16384 -=(unsigned long long) 0.0947863 gmp_int 16384 *=(unsigned long long) 0.208689 gmp_int 16384 /=(unsigned long long) 0.607595 [section:float_performance Float Type Perfomance] [table Operator * [[Backend][50 Bits][100 Bits][500 Bits]] [[cpp_bin_float][4.45465 (0.0720574s)][4.33995 (0.111688s)][2.90491 (0.850904s)]] [[cpp_dec_float][3.82572 (0.061884s)][5.06288 (0.130292s)][5.77019 (1.6902s)]] [[gmp_float][1.28958 (0.02086s)][[*1] (0.0257348s)][[*1] (0.292919s)]] [[mpfr_float][[*1] (0.0161758s)][2.57159 (0.0661794s)][1.09888 (0.321884s)]] ] [table Operator *(int) [[Backend][50 Bits][100 Bits][500 Bits]] [[cpp_bin_float][7.78457 (0.0399504s)][8.32801 (0.0464923s)][5.78369 (0.12206s)]] [[cpp_dec_float][12.2836 (0.0630393s)][22.4215 (0.125171s)][115.745 (2.44271s)]] [[gmp_float][[*1] (0.00513201s)][[*1] (0.00558264s)][[*1] (0.0211042s)]] [[mpfr_float][6.55686 (0.0336498s)][6.08531 (0.0339721s)][3.75579 (0.0792629s)]] ] [table Operator *(unsigned long long) [[Backend][50 Bits][100 Bits][500 Bits]] [[cpp_bin_float][3.96061 (0.0508387s)][9.0225 (0.0540758s)][3.84877 (0.0843974s)]] [[cpp_dec_float][5.80905 (0.0745654s)][24.6321 (0.147631s)][122.419 (2.68446s)]] [[gmp_float][[*1] (0.0128361s)][[*1] (0.00599344s)][[*1] (0.0219284s)]] [[mpfr_float][2.15124 (0.0276134s)][4.61073 (0.0276341s)][2.31056 (0.0506668s)]] ] [table Operator *=(unsigned long long) [[Backend][50 Bits][100 Bits][500 Bits]] [[cpp_bin_float][6.54027 (0.0500366s)][5.58857 (0.0547429s)][3.33593 (0.0987612s)]] [[cpp_dec_float][9.23894 (0.0706828s)][17.6238 (0.172634s)][81.1437 (2.40228s)]] [[gmp_float][[*1] (0.00765054s)][[*1] (0.00979552s)][[*1] (0.0296053s)]] [[mpfr_float][2.99517 (0.0229147s)][3.55395 (0.0348128s)][2.42098 (0.0716736s)]] ] [table Operator + [[Backend][50 Bits][100 Bits][500 Bits]] [[cpp_bin_float][2.61482 (0.0479759s)][6.91285 (0.0901201s)][8.04302 (0.219881s)]] [[cpp_dec_float][1.08384 (0.0198859s)][1.6631 (0.0216812s)][7.59843 (0.207727s)]] [[gmp_float][1.00042 (0.0183555s)][[*1] (0.0130366s)][[*1] (0.0273382s)]] [[mpfr_float][[*1] (0.0183477s)][1.4588 (0.0190178s)][2.22935 (0.0609463s)]] ] [table Operator +(int) [[Backend][50 Bits][100 Bits][500 Bits]] [[cpp_bin_float][11.8195 (0.0524679s)][13.9144 (0.0871804s)][13.6745 (0.165014s)]] [[cpp_dec_float][3.22445 (0.0143136s)][2.703 (0.0169356s)][12.5227 (0.151114s)]] [[gmp_float][[*1] (0.00443909s)][[*1] (0.00626549s)][[*1] (0.0120673s)]] [[mpfr_float][5.78563 (0.0256829s)][4.78942 (0.0300081s)][5.21353 (0.062913s)]] ] [table Operator +(unsigned long long) [[Backend][50 Bits][100 Bits][500 Bits]] [[cpp_bin_float][21.4259 (0.109321s)][16.4546 (0.128103s)][14.7256 (0.16427s)]] [[cpp_dec_float][4.53931 (0.0231609s)][3.75913 (0.0292658s)][13.3516 (0.148942s)]] [[gmp_float][[*1] (0.0051023s)][[*1] (0.00778526s)][[*1] (0.0111554s)]] [[mpfr_float][5.11905 (0.0261189s)][3.73777 (0.0290995s)][5.52758 (0.0616622s)]] ] [table Operator +=(unsigned long long) [[Backend][50 Bits][100 Bits][500 Bits]] [[cpp_bin_float][6.6778 (0.109847s)][6.84045 (0.0942496s)][9.09759 (0.157162s)]] [[cpp_dec_float][1.06799 (0.017568s)][1.71962 (0.0236933s)][10.7777 (0.186187s)]] [[gmp_float][[*1] (0.0164496s)][[*1] (0.0137783s)][[*1] (0.0172751s)]] [[mpfr_float][3.47654 (0.0571878s)][3.64857 (0.0502709s)][4.56004 (0.0787754s)]] ] [table Operator - [[Backend][50 Bits][100 Bits][500 Bits]] [[cpp_bin_float][5.04597 (0.0688937s)][4.65775 (0.0896788s)][7.55005 (0.196627s)]] [[cpp_dec_float][1.42357 (0.0194363s)][1.62766 (0.0313385s)][8.16298 (0.21259s)]] [[gmp_float][[*1] (0.0136532s)][[*1] (0.0192537s)][[*1] (0.0260432s)]] [[mpfr_float][1.76726 (0.0241287s)][2.05663 (0.0395976s)][2.48295 (0.0646638s)]] ] [table Operator -(int) [[Backend][50 Bits][100 Bits][500 Bits]] [[cpp_bin_float][6.31633 (0.0848243s)][7.07646 (0.084402s)][6.65523 (0.181209s)]] [[cpp_dec_float][1.6139 (0.0216737s)][2.20945 (0.0263524s)][5.27802 (0.14371s)]] [[gmp_float][[*1] (0.0134294s)][[*1] (0.0119272s)][[*1] (0.0272281s)]] [[mpfr_float][5.1551 (0.0692297s)][5.48391 (0.0654074s)][2.6116 (0.0711089s)]] ] [table Operator -(unsigned long long) [[Backend][50 Bits][100 Bits][500 Bits]] [[cpp_bin_float][9.08373 (0.102878s)][4.54284 (0.0883961s)][7.01771 (0.185162s)]] [[cpp_dec_float][2.19345 (0.0248419s)][1.47898 (0.0287785s)][5.71248 (0.150724s)]] [[gmp_float][[*1] (0.0113255s)][[*1] (0.0194584s)][[*1] (0.026385s)]] [[mpfr_float][5.35926 (0.0606961s)][2.92255 (0.056868s)][3.43277 (0.0905736s)]] ] [table Operator -=(unsigned long long) [[Backend][50 Bits][100 Bits][500 Bits]] [[cpp_bin_float][8.73347 (0.129938s)][4.58762 (0.101449s)][5.43827 (0.163157s)]] [[cpp_dec_float][1.67927 (0.0249846s)][1.79526 (0.0396995s)][6.63379 (0.199025s)]] [[gmp_float][[*1] (0.0148782s)][[*1] (0.0221136s)][[*1] (0.0300017s)]] [[mpfr_float][3.96488 (0.0589902s)][3.30899 (0.0731736s)][3.51566 (0.105476s)]] ] [table Operator / [[Backend][50 Bits][100 Bits][500 Bits]] [[cpp_bin_float][5.40221 (0.549759s)][10.0182 (1.39191s)][12.3684 (5.32129s)]] [[cpp_dec_float][8.16505 (0.83092s)][12.483 (1.73437s)][52.8644 (22.744s)]] [[gmp_float][[*1] (0.101766s)][[*1] (0.138938s)][[*1] (0.430233s)]] [[mpfr_float][1.6699 (0.169939s)][2.16251 (0.300455s)][2.82683 (1.2162s)]] ] [table Operator /(int) [[Backend][50 Bits][100 Bits][500 Bits]] [[cpp_bin_float][5.81464 (0.141651s)][12.2991 (0.271491s)][8.20246 (0.643802s)]] [[cpp_dec_float][16.4865 (0.40163s)][39.0331 (0.861622s)][164 (12.8722s)]] [[gmp_float][[*1] (0.0243611s)][[*1] (0.0220741s)][[*1] (0.0784889s)]] [[mpfr_float][2.25501 (0.0549347s)][2.6832 (0.0592293s)][1.60852 (0.126251s)]] ] [table Operator /(unsigned long long) [[Backend][50 Bits][100 Bits][500 Bits]] [[cpp_bin_float][10.879 (0.19558s)][10.4845 (0.244599s)][8.82445 (0.621615s)]] [[cpp_dec_float][22.028 (0.396014s)][42.4784 (0.991001s)][201.351 (14.1836s)]] [[gmp_float][[*1] (0.0179778s)][[*1] (0.0233296s)][[*1] (0.0704423s)]] [[mpfr_float][2.89723 (0.0520857s)][2.6935 (0.0628383s)][1.67233 (0.117803s)]] ] [table Operator /=(unsigned long long) [[Backend][50 Bits][100 Bits][500 Bits]] [[cpp_bin_float][11.0264 (0.215322s)][7.78235 (0.256093s)][8.31638 (0.638041s)]] [[cpp_dec_float][20.9412 (0.408938s)][38.8146 (1.27727s)][142.377 (10.9233s)]] [[gmp_float][[*1] (0.0195279s)][[*1] (0.032907s)][[*1] (0.076721s)]] [[mpfr_float][2.67894 (0.0523141s)][2.16678 (0.071302s)][1.5964 (0.122477s)]] ] [table Operator construct [[Backend][50 Bits][100 Bits][500 Bits]] [[cpp_bin_float][[*1] (0.0030982s)][1.37355 (0.00608929s)][[*1] (0.0152335s)]] [[cpp_dec_float][1.23911 (0.00383901s)][[*1] (0.00443324s)][1.6806 (0.0256013s)]] [[gmp_float][7.50258 (0.0232445s)][5.47554 (0.0242744s)][5.81062 (0.0885159s)]] [[mpfr_float][24.9598 (0.0773304s)][19.5526 (0.0866815s)][5.00378 (0.0762248s)]] ] [table Operator construct(unsigned long long) [[Backend][50 Bits][100 Bits][500 Bits]] [[cpp_bin_float][2.08541 (0.0175206s)][3.12821 (0.0267453s)][1.32687 (0.0570308s)]] [[cpp_dec_float][[*1] (0.00840151s)][[*1] (0.00854971s)][[*1] (0.0429815s)]] [[gmp_float][3.08163 (0.0258903s)][2.44895 (0.0209379s)][2.12806 (0.0914671s)]] [[mpfr_float][10.6814 (0.08974s)][8.42482 (0.0720298s)][1.8282 (0.0785786s)]] ] [table Operator construct(unsigned) [[Backend][50 Bits][100 Bits][500 Bits]] [[cpp_bin_float][1.04974 (0.00808983s)][1.38823 (0.0120486s)][1.16321 (0.0530205s)]] [[cpp_dec_float][[*1] (0.00770653s)][[*1] (0.00867913s)][[*1] (0.0455813s)]] [[gmp_float][3.88496 (0.0299395s)][2.90503 (0.0252132s)][1.82072 (0.0829907s)]] [[mpfr_float][13.3088 (0.102564s)][8.41333 (0.0730204s)][1.78408 (0.0813206s)]] ] [table Operator str [[Backend][50 Bits][100 Bits][500 Bits]] [[cpp_bin_float][6.09659 (0.00301165s)][4.71882 (0.0051705s)][12.4899 (0.043165s)]] [[cpp_dec_float][2.94087 (0.00145276s)][1.64843 (0.00180621s)][3.16004 (0.0109211s)]] [[gmp_float][[*1] (0.000493989s)][[*1] (0.00109572s)][[*1] (0.00345598s)]] [[mpfr_float][4.60349 (0.00227407s)][1.21213 (0.00132816s)][1.41569 (0.0048926s)]] ] [endsect] [section:integer_performance Integer Type Perfomance] [table Operator % [[Backend][128 Bits][256 Bits][512 Bits][1024 Bits][2048 Bits][2688 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)][1.65419 (0.398213s)][[*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][2688 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)][5.28362 (0.301827s)][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][2688 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] (0.0366949s)][[*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][2688 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)][5.04381 (0.0612567s)][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][2688 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)][1.18016 (1.31825s)][[*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][2688 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] (0.0426049s)][[*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][2688 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)][1.63339 (0.052584s)][[*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][2688 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)][1.15288 (0.0527845s)][[*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][2688 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)][1.11861 (0.0336398s)][[*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][2688 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)][1.26754 (0.024805s)][[*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][2688 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)][1.68706 (0.0294774s)][[*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][2688 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] (0.0201879s)][[*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][2688 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)][1.17197 (0.037733s)][[*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][2688 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)][1.44798 (0.032706s)][[*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][2688 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)][1.00875 (0.0222548s)][[*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][2688 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)][1.10592 (0.0277295s)][[*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][2688 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)][4.81923 (1.00586s)][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][2688 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)][5.49102 (0.859876s)][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][2688 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)][6.64685 (0.832241s)][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][2688 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)][5.93971 (0.873081s)][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][2688 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)][1.26154 (0.0753453s)][[*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][2688 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)][5.86336 (0.0183679s)][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][2688 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)][1.10651 (0.0475314s)][[*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][2688 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] (0.0206665s)][[*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][2688 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] (0.00240729s)][[*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][2688 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] (0.00288069s)][[*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][2688 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] (0.00241711s)][[*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][2688 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)][1.16957 (21.9738s)][[*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][2688 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)][4.87866 (0.0237422s)][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][2688 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] (0.0334167s)][[*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][2688 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] (0.0214828s)][[*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)]] ] [endsect] [section:rational_performance Rational Type Perfomance] [table Operator * [[Backend][128 Bits][256 Bits][512 Bits][1024 Bits]] [[cpp_rational][2.00025 (0.797425s)][1.97726 (2.96998s)][1.86844 (6.73224s)][1.96608 (14.4259s)]] [[mpq_rational][[*1] (0.398662s)][[*1] (1.50207s)][[*1] (3.60314s)][[*1] (7.3374s)]] ] [table Operator *(int) [[Backend][128 Bits][256 Bits][512 Bits][1024 Bits]] [[cpp_rational][1.88073 (0.0637195s)][1.93184 (0.0917847s)][2.15609 (0.118274s)][2.4236 (0.218283s)]] [[mpq_rational][[*1] (0.0338803s)][[*1] (0.0475114s)][[*1] (0.0548556s)][[*1] (0.0900656s)]] ] [table Operator *(unsigned long long) [[Backend][128 Bits][256 Bits][512 Bits][1024 Bits]] [[cpp_rational][1.60877 (0.161844s)][2.33429 (0.240069s)][1.8835 (0.298935s)][2.70338 (0.448194s)]] [[mpq_rational][[*1] (0.100601s)][[*1] (0.102844s)][[*1] (0.158713s)][[*1] (0.16579s)]] ] [table Operator *(value_type) [[Backend][128 Bits][256 Bits][512 Bits][1024 Bits]] [[cpp_rational][1.97503 (0.408791s)][2.42069 (0.600225s)][2.65138 (0.803009s)][4.65673 (1.54645s)]] [[mpq_rational][[*1] (0.20698s)][[*1] (0.247956s)][[*1] (0.302865s)][[*1] (0.332089s)]] ] [table Operator *=(unsigned long long) [[Backend][128 Bits][256 Bits][512 Bits][1024 Bits]] [[cpp_rational][1.97207 (0.211848s)][2.18482 (0.226179s)][2.43682 (0.319695s)][2.69933 (0.485819s)]] [[mpq_rational][[*1] (0.107424s)][[*1] (0.103523s)][[*1] (0.131194s)][[*1] (0.179978s)]] ] [table Operator *=(value_type) [[Backend][128 Bits][256 Bits][512 Bits][1024 Bits]] [[cpp_rational][1.95211 (0.40255s)][2.60942 (0.629302s)][2.83854 (0.8029s)][4.34054 (1.37083s)]] [[mpq_rational][[*1] (0.206213s)][[*1] (0.241165s)][[*1] (0.282857s)][[*1] (0.31582s)]] ] [table Operator + [[Backend][128 Bits][256 Bits][512 Bits][1024 Bits]] [[cpp_rational][2.20364 (0.415006s)][1.97574 (1.53458s)][1.75945 (3.41194s)][2.11634 (8.04044s)]] [[mpq_rational][[*1] (0.188327s)][[*1] (0.776716s)][[*1] (1.93921s)][[*1] (3.79923s)]] ] [table Operator +(int) [[Backend][128 Bits][256 Bits][512 Bits][1024 Bits]] [[cpp_rational][2.06836 (0.0177811s)][1.80334 (0.0183744s)][1.38442 (0.020452s)][1.81894 (0.0449351s)]] [[mpq_rational][[*1] (0.00859669s)][[*1] (0.0101891s)][[*1] (0.014773s)][[*1] (0.024704s)]] ] [table Operator +(unsigned long long) [[Backend][128 Bits][256 Bits][512 Bits][1024 Bits]] [[cpp_rational][2.07187 (0.0177151s)][2.3005 (0.0241089s)][1.81397 (0.0297836s)][1.72202 (0.046594s)]] [[mpq_rational][[*1] (0.0085503s)][[*1] (0.0104799s)][[*1] (0.016419s)][[*1] (0.0270577s)]] ] [table Operator +(value_type) [[Backend][128 Bits][256 Bits][512 Bits][1024 Bits]] [[cpp_rational][1.2805 (0.0265647s)][1.59353 (0.0391054s)][1.26613 (0.044067s)][1.95307 (0.105801s)]] [[mpq_rational][[*1] (0.0207456s)][[*1] (0.0245401s)][[*1] (0.0348044s)][[*1] (0.0541719s)]] ] [table Operator +=(unsigned long long) [[Backend][128 Bits][256 Bits][512 Bits][1024 Bits]] [[cpp_rational][7.29749 (0.0565983s)][3.77253 (0.0371419s)][2.72128 (0.0556987s)][2.01495 (0.0662456s)]] [[mpq_rational][[*1] (0.00775585s)][[*1] (0.00984535s)][[*1] (0.0204678s)][[*1] (0.032877s)]] ] [table Operator +=(value_type) [[Backend][128 Bits][256 Bits][512 Bits][1024 Bits]] [[cpp_rational][1.92025 (0.0335896s)][2.08321 (0.0422867s)][1.587 (0.0564267s)][1.85357 (0.0840696s)]] [[mpq_rational][[*1] (0.0174923s)][[*1] (0.0202988s)][[*1] (0.0355556s)][[*1] (0.0453556s)]] ] [table Operator - [[Backend][128 Bits][256 Bits][512 Bits][1024 Bits]] [[cpp_rational][2.38126 (0.471759s)][1.92631 (1.52484s)][1.76181 (3.49648s)][2.03462 (7.71926s)]] [[mpq_rational][[*1] (0.198113s)][[*1] (0.791584s)][[*1] (1.98459s)][[*1] (3.79396s)]] ] [table Operator -(int) [[Backend][128 Bits][256 Bits][512 Bits][1024 Bits]] [[cpp_rational][2.44447 (0.0292894s)][2.54602 (0.0346718s)][1.4869 (0.035503s)][1.95344 (0.0577029s)]] [[mpq_rational][[*1] (0.0119819s)][[*1] (0.013618s)][[*1] (0.0238773s)][[*1] (0.0295391s)]] ] [table Operator -(unsigned long long) [[Backend][128 Bits][256 Bits][512 Bits][1024 Bits]] [[cpp_rational][2.93654 (0.0296698s)][4.23087 (0.0496956s)][1.68041 (0.0461985s)][1.4455 (0.0581714s)]] [[mpq_rational][[*1] (0.0101037s)][[*1] (0.0117459s)][[*1] (0.0274924s)][[*1] (0.040243s)]] ] [table Operator -(value_type) [[Backend][128 Bits][256 Bits][512 Bits][1024 Bits]] [[cpp_rational][1.69242 (0.0408789s)][1.5205 (0.0467416s)][1.31525 (0.0548939s)][2.16115 (0.103471s)]] [[mpq_rational][[*1] (0.0241541s)][[*1] (0.030741s)][[*1] (0.0417365s)][[*1] (0.0478777s)]] ] [table Operator -=(unsigned long long) [[Backend][128 Bits][256 Bits][512 Bits][1024 Bits]] [[cpp_rational][3.69509 (0.0366534s)][3.7306 (0.0439181s)][1.8352 (0.0491612s)][1.86662 (0.071761s)]] [[mpq_rational][[*1] (0.00991947s)][[*1] (0.0117724s)][[*1] (0.0267879s)][[*1] (0.0384444s)]] ] [table Operator -=(value_type) [[Backend][128 Bits][256 Bits][512 Bits][1024 Bits]] [[cpp_rational][1.76299 (0.0421283s)][2.03803 (0.0490152s)][1.84864 (0.053198s)][2.10533 (0.0881228s)]] [[mpq_rational][[*1] (0.023896s)][[*1] (0.0240502s)][[*1] (0.0287769s)][[*1] (0.041857s)]] ] [table Operator / [[Backend][128 Bits][256 Bits][512 Bits][1024 Bits]] [[cpp_rational][2.03433 (2.28881s)][2.24309 (6.34454s)][2.1203 (13.2036s)][2.36142 (29.3236s)]] [[mpq_rational][[*1] (1.12509s)][[*1] (2.82848s)][[*1] (6.22726s)][[*1] (12.4178s)]] ] [table Operator /(int) [[Backend][128 Bits][256 Bits][512 Bits][1024 Bits]] [[cpp_rational][[*1] (0.035134s)][1.08556 (0.0774619s)][1.08797 (0.104628s)][1.29134 (0.207067s)]] [[mpq_rational][1.85049 (0.0650149s)][[*1] (0.0713565s)][[*1] (0.0961679s)][[*1] (0.16035s)]] ] [table Operator /(unsigned long long) [[Backend][128 Bits][256 Bits][512 Bits][1024 Bits]] [[cpp_rational][1.31397 (0.170727s)][1.63747 (0.216019s)][1.68581 (0.292536s)][1.76695 (0.435259s)]] [[mpq_rational][[*1] (0.129932s)][[*1] (0.131923s)][[*1] (0.173528s)][[*1] (0.246334s)]] ] [table Operator /(value_type) [[Backend][128 Bits][256 Bits][512 Bits][1024 Bits]] [[cpp_rational][1.82473 (0.431612s)][2.20261 (0.596248s)][2.45848 (0.809662s)][3.88675 (1.38001s)]] [[mpq_rational][[*1] (0.236534s)][[*1] (0.270701s)][[*1] (0.329335s)][[*1] (0.355055s)]] ] [table Operator /=(unsigned long long) [[Backend][128 Bits][256 Bits][512 Bits][1024 Bits]] [[cpp_rational][1.58868 (0.216252s)][1.71288 (0.235781s)][1.78218 (0.314161s)][1.98715 (0.460033s)]] [[mpq_rational][[*1] (0.136121s)][[*1] (0.137652s)][[*1] (0.176279s)][[*1] (0.231505s)]] ] [table Operator /=(value_type) [[Backend][128 Bits][256 Bits][512 Bits][1024 Bits]] [[cpp_rational][1.72896 (0.40369s)][2.55949 (0.689514s)][2.4929 (0.832288s)][3.51238 (1.37478s)]] [[mpq_rational][[*1] (0.233487s)][[*1] (0.269395s)][[*1] (0.333863s)][[*1] (0.391409s)]] ] [table Operator construct [[Backend][128 Bits][256 Bits][512 Bits][1024 Bits]] [[cpp_rational][[*1] (0.0135822s)][[*1] (0.00935293s)][[*1] (0.0083784s)][[*1] (0.00962697s)]] [[mpq_rational][1.44264 (0.0195942s)][2.18249 (0.0204126s)][2.64725 (0.0221797s)][2.87767 (0.0277033s)]] ] [table Operator construct(unsigned long long) [[Backend][128 Bits][256 Bits][512 Bits][1024 Bits]] [[cpp_rational][[*1] (0.00806026s)][[*1] (0.00960336s)][[*1] (0.00769898s)][[*1] (0.0176689s)]] [[mpq_rational][4.87225 (0.0392716s)][5.91987 (0.0568506s)][9.03811 (0.0695842s)][3.68339 (0.0650815s)]] ] [table Operator construct(unsigned) [[Backend][128 Bits][256 Bits][512 Bits][1024 Bits]] [[cpp_rational][[*1] (0.00672081s)][[*1] (0.0064826s)][[*1] (0.00618635s)][[*1] (0.00923644s)]] [[mpq_rational][6.47138 (0.0434929s)][7.48645 (0.0485316s)][8.2942 (0.0513108s)][5.77363 (0.0533278s)]] ] [table Operator str [[Backend][128 Bits][256 Bits][512 Bits][1024 Bits]] [[cpp_rational][6.17439 (0.00168424s)][7.6748 (0.0033367s)][6.38435 (0.00662873s)][9.07696 (0.0174979s)]] [[mpq_rational][[*1] (0.000272779s)][[*1] (0.000434761s)][[*1] (0.00103828s)][[*1] (0.00192772s)]] ] [endsect]