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### Floating-Point Real World Tests

These tests test the total time taken to execute all of Boost.Math's test cases for these functions. In each case the best performing library gets a relative score of 1, with the total execution time given in brackets. Times are shown for both single threaded runs and concurrent execution - the latter increases contension inside new/delete.

Table 1.14. Bessel Functions (50 digit precision)

Type | Time | Allocations
--- | --- | ---
cpp_bin_float_50 | 2.24409 (0.207745s) | 399
cpp_bin_float_50 (3 concurrent threads) | 2.87977 (0.266594s) | 463
cpp_dec_float_50 | 4.56157 (0.422285s) | 381
cpp_dec_float_50 (3 concurrent threads) | 5.66114 (0.524077s) | 424
mpf_float_50 | 1.03648 (0.0959515s) | 640961
mpf_float_50 (3 concurrent threads) | 1.50439 (0.139268s) | 2563517
mpf_float_50 (no expression templates | 1 (0.0925745s) | 1019039
mpf_float_50 (no expression templates (3 concurrent threads) | 1.52451 (0.141131s) | 4075842
mpfr_float_50 | 1.2513 (0.115838s) | 583054
mpfr_float_50 (3 concurrent threads) | 1.61301 (0.149324s) | 2330876
mpfr_float_50 (no expression templates | 1.42667 (0.132073s) | 999594
mpfr_float_50 (no expression templates (3 concurrent threads) | 2.00203 (0.185337s) | 4000039
static_mpfr_float_50 | 1.18358 (0.10957s) | 22930
static_mpfr_float_50 (3 concurrent threads) | 1.38802 (0.128496s) | 93140
static_mpfr_float_50 (no expression templates) | 1.14598 (0.106089s) | 46861
static_mpfr_float_50 (no expression templates) (3 concurrent threads) | 1.24535 (0.115288s) | 189227

Table 1.15. Non-central T Distribution (50 digit precision)

Type | Time | Allocations
--- | --- | ---
cpp_bin_float_50 | 2.38959 (38.5842s) | 0
cpp_bin_float_50 (3 concurrent threads) | 3.50535 (56.6s) | 28
cpp_dec_float_50 | 4.82763 (77.9505s) | 0
mpf_float_50 | 1.06817 (17.2475s) | 123749688
mpf_float_50 (no expression templates | 1 (16.1468s) | 152610085
mpfr_float_50 | 1.18754 (19.1749s) | 118401290
mpfr_float_50 (no expression templates | 1.36782 (22.0858s) | 152816346
static_mpfr_float_50 | 1.04471 (16.8686s) | 113395

Table 1.16. Platform Details

| Version
--- | ---
Compiler | GNU C++ version 10.3.0
GMP | 6.2.0
MPFR | 262146
Boost | 107800
Run date | Sep 30 2021