--------------------------------------------------------------------------------------------------------------------------------------------------------------------
Benchmark                                                                                                                          Time             CPU   Iterations
--------------------------------------------------------------------------------------------------------------------------------------------------------------------
BM_bernoulli<boost::multiprecision::cpp_rational>/50                                                                         1888495 ns      1888453 ns          354
BM_bernoulli<boost::multiprecision::cpp_rational>/54                                                                         2250552 ns      2250503 ns          294
BM_bernoulli<boost::multiprecision::cpp_rational>/58                                                                         2734589 ns      2734527 ns          246
BM_bernoulli<boost::multiprecision::cpp_rational>/62                                                                         3318196 ns      3318122 ns          206
BM_bernoulli<boost::multiprecision::cpp_rational>/66                                                                         3887371 ns      3887281 ns          166
BM_bernoulli<boost::multiprecision::cpp_rational>/70                                                                         4628631 ns      4628535 ns          135
BM_bernoulli<boost::multiprecision::cpp_rational>/74                                                                         5354148 ns      5354100 ns          131
BM_bernoulli<boost::multiprecision::cpp_rational>/78                                                                         6321412 ns      6321172 ns          111
BM_bernoulli<boost::multiprecision::cpp_rational>/82                                                                         7130681 ns      7130520 ns           99
BM_bernoulli<boost::multiprecision::cpp_rational>/86                                                                         8390270 ns      8390095 ns           77
BM_bernoulli<boost::multiprecision::cpp_rational>/90                                                                        10621849 ns     10621760 ns           70
BM_bernoulli<boost::multiprecision::cpp_rational>/94                                                                        11364659 ns     11364409 ns           64
BM_bernoulli<boost::multiprecision::cpp_rational>/98                                                                        14031215 ns     14030636 ns           53
BM_bernoulli<boost::multiprecision::cpp_rational>/102                                                                       15269101 ns     15268211 ns           50
BM_bernoulli<boost::multiprecision::cpp_rational>/106                                                                       15253625 ns     15253028 ns           44
BM_bernoulli<boost::multiprecision::cpp_rational>/110                                                                       17638148 ns     17637756 ns           42
BM_bernoulli<boost::multiprecision::cpp_rational>/114                                                                       18335439 ns     18335007 ns           37
BM_bernoulli<boost::multiprecision::cpp_rational>/118                                                                       21044600 ns     21044146 ns           33
BM_bernoulli<boost::multiprecision::cpp_rational>/122                                                                       23713449 ns     23712950 ns           29
BM_bernoulli<boost::multiprecision::cpp_rational>/126                                                                       25994484 ns     25993901 ns           26
BM_bernoulli<boost::multiprecision::cpp_rational>/130                                                                       30173460 ns     30172780 ns           25
BM_bernoulli<boost::multiprecision::cpp_rational>/134                                                                       43993250 ns     43992333 ns           15
BM_bernoulli<boost::multiprecision::cpp_rational>/138                                                                       40704613 ns     40702777 ns           16
BM_bernoulli<boost::multiprecision::cpp_rational>/142                                                                       47015864 ns     47014950 ns           13
BM_bernoulli<boost::multiprecision::cpp_rational>/146                                                                       51469463 ns     51468592 ns           10
BM_bernoulli<boost::multiprecision::cpp_rational>/150                                                                       70737464 ns     70736106 ns            8
BM_bernoulli<boost::multiprecision::cpp_rational>/154                                                                       74904669 ns     74638691 ns            8
BM_bernoulli<boost::multiprecision::cpp_rational>/158                                                                       76644012 ns     76642396 ns           10
BM_bernoulli<boost::multiprecision::cpp_rational>/162                                                                      104915811 ns    104906795 ns            7
BM_bernoulli<boost::multiprecision::cpp_rational>/166                                                                      108178263 ns    108175914 ns            7
BM_bernoulli<boost::multiprecision::cpp_rational>/170                                                                      125366340 ns    125363885 ns            5
BM_bernoulli<boost::multiprecision::cpp_rational>/174                                                                      119816144 ns    119813754 ns            5
BM_bernoulli<boost::multiprecision::cpp_rational>/178                                                                      130675436 ns    130672631 ns            6
BM_bernoulli<boost::multiprecision::cpp_rational>/182                                                                      136007472 ns    136002124 ns            6
BM_bernoulli<boost::multiprecision::cpp_rational>/186                                                                      152172095 ns    152169271 ns            4
BM_bernoulli<boost::multiprecision::cpp_rational>/190                                                                      149450814 ns    149444035 ns            4
BM_bernoulli<boost::multiprecision::cpp_rational>/194                                                                      149612169 ns    149609183 ns            4
BM_bernoulli<boost::multiprecision::cpp_rational>/198                                                                      167597787 ns    167594528 ns            4
BM_bernoulli<boost::multiprecision::mpq_rational>/50                                                                         3270409 ns      3270343 ns          224
BM_bernoulli<boost::multiprecision::mpq_rational>/54                                                                         4844123 ns      4842950 ns          188
BM_bernoulli<boost::multiprecision::mpq_rational>/58                                                                         6032271 ns      6031493 ns          137
BM_bernoulli<boost::multiprecision::mpq_rational>/62                                                                         8356124 ns      8355959 ns           76
BM_bernoulli<boost::multiprecision::mpq_rational>/66                                                                         9433065 ns      9431740 ns           74
BM_bernoulli<boost::multiprecision::mpq_rational>/70                                                                         9144751 ns      9144294 ns           70
BM_bernoulli<boost::multiprecision::mpq_rational>/74                                                                         9130475 ns      9130309 ns           61
BM_bernoulli<boost::multiprecision::mpq_rational>/78                                                                        10537362 ns     10537142 ns           66
BM_bernoulli<boost::multiprecision::mpq_rational>/82                                                                        12613844 ns     12613249 ns           63
BM_bernoulli<boost::multiprecision::mpq_rational>/86                                                                        13630412 ns     13630144 ns           52
BM_bernoulli<boost::multiprecision::mpq_rational>/90                                                                        17308942 ns     17307564 ns           40
BM_bernoulli<boost::multiprecision::mpq_rational>/94                                                                        17941604 ns     17940817 ns           33
BM_bernoulli<boost::multiprecision::mpq_rational>/98                                                                        17702116 ns     17701739 ns           30
BM_bernoulli<boost::multiprecision::mpq_rational>/102                                                                       24652890 ns     24651531 ns           27
BM_bernoulli<boost::multiprecision::mpq_rational>/106                                                                       28959599 ns     28958456 ns           25
BM_bernoulli<boost::multiprecision::mpq_rational>/110                                                                       32250123 ns     32248791 ns           24
BM_bernoulli<boost::multiprecision::mpq_rational>/114                                                                       33049744 ns     33036651 ns           18
BM_bernoulli<boost::multiprecision::mpq_rational>/118                                                                       43063349 ns     43060565 ns           16
BM_bernoulli<boost::multiprecision::mpq_rational>/122                                                                       47526128 ns     47524442 ns           19
BM_bernoulli<boost::multiprecision::mpq_rational>/126                                                                       51732892 ns     51732056 ns           10
BM_bernoulli<boost::multiprecision::mpq_rational>/130                                                                       57019065 ns     57018140 ns           10
BM_bernoulli<boost::multiprecision::mpq_rational>/134                                                                       53774927 ns     53774090 ns           10
BM_bernoulli<boost::multiprecision::mpq_rational>/138                                                                       55161523 ns     55157578 ns           11
BM_bernoulli<boost::multiprecision::mpq_rational>/142                                                                       67521287 ns     67520101 ns            9
BM_bernoulli<boost::multiprecision::mpq_rational>/146                                                                       73495897 ns     73492888 ns           11
BM_bernoulli<boost::multiprecision::mpq_rational>/150                                                                       96401524 ns     96399781 ns            6
BM_bernoulli<boost::multiprecision::mpq_rational>/154                                                                       93370021 ns     93368470 ns            6
BM_bernoulli<boost::multiprecision::mpq_rational>/158                                                                      102579919 ns    102575818 ns            8
BM_bernoulli<boost::multiprecision::mpq_rational>/162                                                                      122980914 ns    122978722 ns            6
BM_bernoulli<boost::multiprecision::mpq_rational>/166                                                                      100311142 ns    100309423 ns            6
BM_bernoulli<boost::multiprecision::mpq_rational>/170                                                                      101722324 ns    101720320 ns            7
BM_bernoulli<boost::multiprecision::mpq_rational>/174                                                                      116791305 ns    116789020 ns            6
BM_bernoulli<boost::multiprecision::mpq_rational>/178                                                                      118186160 ns    118184175 ns            5
BM_bernoulli<boost::multiprecision::mpq_rational>/182                                                                      113692224 ns    113690229 ns            5
BM_bernoulli<boost::multiprecision::mpq_rational>/186                                                                      120508668 ns    120506323 ns            6
BM_bernoulli<boost::multiprecision::mpq_rational>/190                                                                      124836662 ns    124834484 ns            5
BM_bernoulli<boost::multiprecision::mpq_rational>/194                                                                      133126053 ns    133123581 ns            5
BM_bernoulli<boost::multiprecision::mpq_rational>/198                                                                      149959513 ns    149954105 ns            5
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/50     3290599 ns      3290466 ns          247
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/54     3829254 ns      3829119 ns          189
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/58     5026638 ns      5026546 ns          144
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/62     6338415 ns      6338287 ns          133
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/66     7401079 ns      7400940 ns          112
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/70     8056058 ns      8055920 ns           76
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/74     8688736 ns      8688407 ns           78
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/78     9168196 ns      9168029 ns           77
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/82    10547763 ns     10547404 ns           72
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/86    12687317 ns     12686717 ns           60
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/90    14583805 ns     14583533 ns           53
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/94    17533114 ns     17532466 ns           45
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/98    17795979 ns     17795666 ns           37
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/102   20905344 ns     20904910 ns           37
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/106   24965679 ns     24965242 ns           27
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/110   26153986 ns     26153512 ns           27
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/114   27283324 ns     27282865 ns           24
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/118   30932112 ns     30931542 ns           21
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/122   31709907 ns     31708366 ns           20
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/126   37541157 ns     37539799 ns           19
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/130   47600868 ns     47599791 ns           17
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/134   56589653 ns     56565174 ns           12
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/138   61844701 ns     61840208 ns            9
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/142   62854330 ns     62836747 ns           11
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/146   65305525 ns     65301664 ns            9
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/150   71840692 ns     71806806 ns            8
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/154   86537227 ns     86535425 ns            6
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/158   84476111 ns     84435425 ns            7
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/162   95187582 ns     95163676 ns            6
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/166  116436468 ns    116426811 ns            5
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/170  130978409 ns    130952717 ns            6
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/174  159328406 ns    159282156 ns            4
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/178  170187772 ns    170133406 ns            3
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/182  184317854 ns    184265450 ns            3
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/186  232363854 ns    232345590 ns            3
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/190  156385849 ns    156352248 ns            5
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/194  250575336 ns    250276632 ns            3
BM_bernoulli<boost::multiprecision::number<boost::multiprecision::rational_adaptor<boost::multiprecision::gmp_int> >>/198  234528878 ns    234451241 ns            4
BM_bernoulli<mpq_class, mpz_class>/50                                                                                        3576313 ns      3575669 ns          166
BM_bernoulli<mpq_class, mpz_class>/54                                                                                        5617333 ns      5611911 ns          143
BM_bernoulli<mpq_class, mpz_class>/58                                                                                        5434013 ns      5432617 ns           93
BM_bernoulli<mpq_class, mpz_class>/62                                                                                        7520189 ns      7519819 ns           84
BM_bernoulli<mpq_class, mpz_class>/66                                                                                       10063667 ns     10061634 ns           84
BM_bernoulli<mpq_class, mpz_class>/70                                                                                       11741489 ns     11741278 ns           43
BM_bernoulli<mpq_class, mpz_class>/74                                                                                       12503901 ns     12499604 ns           48
BM_bernoulli<mpq_class, mpz_class>/78                                                                                       12891372 ns     12889086 ns           45
BM_bernoulli<mpq_class, mpz_class>/82                                                                                       14146644 ns     14145407 ns           36
BM_bernoulli<mpq_class, mpz_class>/86                                                                                       13244909 ns     13244178 ns           46
BM_bernoulli<mpq_class, mpz_class>/90                                                                                       16761246 ns     16760132 ns           45
BM_bernoulli<mpq_class, mpz_class>/94                                                                                       17757867 ns     17745522 ns           38
BM_bernoulli<mpq_class, mpz_class>/98                                                                                       20767614 ns     20764969 ns           34
BM_bernoulli<mpq_class, mpz_class>/102                                                                                      24630855 ns     24625094 ns           28
BM_bernoulli<mpq_class, mpz_class>/106                                                                                      27775007 ns     27770111 ns           24
BM_bernoulli<mpq_class, mpz_class>/110                                                                                      29217021 ns     29207281 ns           23
BM_bernoulli<mpq_class, mpz_class>/114                                                                                      33637566 ns     33632317 ns           20
BM_bernoulli<mpq_class, mpz_class>/118                                                                                      38106044 ns     38104497 ns           19
BM_bernoulli<mpq_class, mpz_class>/122                                                                                      40618000 ns     40614832 ns           17
BM_bernoulli<mpq_class, mpz_class>/126                                                                                      44129039 ns     44122736 ns           15
BM_bernoulli<mpq_class, mpz_class>/130                                                                                      49499438 ns     49498465 ns           12
BM_bernoulli<mpq_class, mpz_class>/134                                                                                      53824996 ns     53815652 ns           11
BM_bernoulli<mpq_class, mpz_class>/138                                                                                      60739365 ns     60731483 ns           11
BM_bernoulli<mpq_class, mpz_class>/142                                                                                      65850315 ns     65847652 ns            9
BM_bernoulli<mpq_class, mpz_class>/146                                                                                      72453391 ns     72427755 ns            9
BM_bernoulli<mpq_class, mpz_class>/150                                                                                      87085907 ns     87071159 ns            7
BM_bernoulli<mpq_class, mpz_class>/154                                                                                      95887543 ns     95881314 ns            6
BM_bernoulli<mpq_class, mpz_class>/158                                                                                      96230949 ns     96228927 ns            7
BM_bernoulli<mpq_class, mpz_class>/162                                                                                     106197691 ns    106177472 ns            6
BM_bernoulli<mpq_class, mpz_class>/166                                                                                     134945572 ns    134925799 ns            5
BM_bernoulli<mpq_class, mpz_class>/170                                                                                     142289415 ns    142283919 ns            4
BM_bernoulli<mpq_class, mpz_class>/174                                                                                     187878516 ns    187842807 ns            5
BM_bernoulli<mpq_class, mpz_class>/178                                                                                     210256150 ns    210241919 ns            3
BM_bernoulli<mpq_class, mpz_class>/182                                                                                     179176686 ns    179169030 ns            3
BM_bernoulli<mpq_class, mpz_class>/186                                                                                     205849055 ns    205787179 ns            3
BM_bernoulli<mpq_class, mpz_class>/190                                                                                     217773129 ns    217763972 ns            3
BM_bernoulli<mpq_class, mpz_class>/194                                                                                     241406118 ns    241358945 ns            3
BM_bernoulli<mpq_class, mpz_class>/198                                                                                     222322076 ns    222307749 ns            3
