Allocation Counts for Horner Evaluation: Allocation count for type mpfr_float_50 = 3 Allocation count for type mpfr_float_50 - no expression templates = 1 Allocation Counts for boost::math::tools::evaluate_polynomial: Allocation count for type mpfr_float_50 = 13 Allocation count for type mpfr_float_50 - no expression templates = 9 Time for double = 0.000688113 seconds Total allocations for double = 14 Time for real_concept = 0.00149196 seconds Total allocations for real_concept = 0 Time for arithmetic_backend = 0.00133409 seconds Total allocations for arithmetic_backend = 0 Time for arithmetic_backend - no expression templates = 0.000637403 seconds Total allocations for arithmetic_backend - no expression templates = 0 Time for double = 0.0366824 seconds Total allocations for double = 0 Time for real_concept = 0.0867356 seconds Total allocations for real_concept = 0 Time for arithmetic_backend = 0.0956691 seconds Total allocations for arithmetic_backend = 0 Time for arithmetic_backend - no expression templates = 0.040428 seconds Total allocations for arithmetic_backend - no expression templates = 0 Testing Bessel Functions at 50 digits..... Time for mpfr_float_50 = 0.204043 seconds Total allocations for mpfr_float_50 = 813605 Time for mpfr_float_50 (3 theads) = 0.238272 seconds Total allocations for mpfr_float_50 = 3255602 Time for mpfr_float_50 (no expression templates = 0.216221 seconds Total allocations for mpfr_float_50 (no expression templates = 1001796 Time for mpfr_float_50 (no expression templates (3 theads) = 0.267326 seconds Total allocations for mpfr_float_50 (no expression templates = 4008534 Time for static_mpfr_float_50 = 0.146508 seconds Total allocations for static_mpfr_float_50 = 18685 Time for static_mpfr_float_50 (3 theads) = 0.180008 seconds Total allocations for static_mpfr_float_50 = 75946 Time for static_mpfr_float_50 (no expression templates) = 0.143153 seconds Total allocations for static_mpfr_float_50 (no expression templates) = 46826 Time for static_mpfr_float_50 (no expression templates) (3 theads) = 0.161564 seconds Total allocations for static_mpfr_float_50 (no expression templates) = 189191 Time for mpf_float_50 = 0.167874 seconds Total allocations for mpf_float_50 = 870726 Time for mpf_float_50 (3 theads) = 0.205629 seconds Total allocations for mpf_float_50 = 3482852 Time for mpf_float_50 (no expression templates = 0.171495 seconds Total allocations for mpf_float_50 (no expression templates = 1071229 Time for mpf_float_50 (no expression templates (3 theads) = 0.22507 seconds Total allocations for mpf_float_50 (no expression templates = 4284874 Time for cpp_dec_float_50 = 0.377193 seconds Total allocations for cpp_dec_float_50 = 3 Time for cpp_dec_float_50 (3 theads) = 0.410275 seconds Total allocations for cpp_dec_float_50 = 36 Time for cpp_bin_float_50 = 0.315701 seconds Total allocations for cpp_bin_float_50 = 4 Time for cpp_bin_float_50 (3 theads) = 0.338848 seconds Total allocations for cpp_bin_float_50 = 43 Testing Bessel Functions at 100 digits..... Time for mpfr_float_100 = 0.504992 seconds Total allocations for mpfr_float_100 = 1666200 Time for mpfr_float_100 (no expression templates = 0.503061 seconds Total allocations for mpfr_float_100 (no expression templates = 2120706 Time for static_mpfr_float_100 = 0.375447 seconds Total allocations for static_mpfr_float_100 = 19391 Time for mpf_float_100 = 0.406251 seconds Total allocations for mpf_float_100 = 1817791 Time for mpf_float_100 (no expression templates = 0.418247 seconds Total allocations for mpf_float_100 (no expression templates = 2221056 Time for cpp_dec_float_100 = 1.13054 seconds Total allocations for cpp_dec_float_100 = 3 Time for cpp_bin_float_100 = 1.19595 seconds Total allocations for cpp_bin_float_100 = 6 Testing Polynomial Evaluation at 50 digits..... Time for mpfr_float_50 = 0.00172618 seconds Total allocations for mpfr_float_50 = 12976 Time for mpfr_float_50 (no expression templates = 0.00140102 seconds Total allocations for mpfr_float_50 (no expression templates = 8984 Time for static_mpfr_float_50 = 0.000774017 seconds Total allocations for static_mpfr_float_50 = 0 Time for mpf_float_50 = 0.00122821 seconds Total allocations for mpf_float_50 = 12976 Time for mpf_float_50 (no expression templates = 0.000938302 seconds Total allocations for mpf_float_50 (no expression templates = 8984 Time for cpp_dec_float_50 = 0.000761543 seconds Total allocations for cpp_dec_float_50 = 0 Time for cpp_bin_float_50 = 0.00100391 seconds Total allocations for cpp_bin_float_50 = 0 Testing Polynomial Evaluation at 100 digits..... Time for mpfr_float_100 = 0.00198759 seconds Total allocations for mpfr_float_100 = 12976 Time for mpfr_float_100 (no expression templates = 0.00197391 seconds Total allocations for mpfr_float_100 (no expression templates = 8984 Time for static_mpfr_float_100 = 0.00115947 seconds Total allocations for static_mpfr_float_100 = 0 Time for mpf_float_100 = 0.00130242 seconds Total allocations for mpf_float_100 = 12976 Time for mpf_float_100 (no expression templates = 0.000967883 seconds Total allocations for mpf_float_100 (no expression templates = 8984 Time for cpp_dec_float_100 = 0.00110386 seconds Total allocations for cpp_dec_float_100 = 0 Time for cpp_bin_float_100 = 0.00144396 seconds Total allocations for cpp_bin_float_100 = 0 Testing Non-Central T at 50 digits..... Time for mpfr_float_50 = 45.8621 seconds Total allocations for mpfr_float_50 = 196986977 Time for mpfr_float_50 (no expression templates = 41.5062 seconds Total allocations for mpfr_float_50 (no expression templates = 194554719 Time for static_mpfr_float_50 = 31.1014 seconds Total allocations for static_mpfr_float_50 = 1798554 Time for mpf_float_50 = 28.2162 seconds Total allocations for mpf_float_50 = 162346817 Time for mpf_float_50 (no expression templates = 24.8611 seconds Total allocations for mpf_float_50 (no expression templates = 154896018 Time for cpp_dec_float_50 = 61.5326 seconds Total allocations for cpp_dec_float_50 = 4 Time for cpp_bin_float_50 = 59.0179 seconds Total allocations for cpp_bin_float_50 = 1 Time for cpp_bin_float_50 (3 theads) = 79.9276 seconds Total allocations for cpp_bin_float_50 = 28 Testing Non-Central T at 100 digits..... Time for mpfr_float_100 = 92.8415 seconds Total allocations for mpfr_float_100 = 333396307 Time for mpfr_float_100 (no expression templates = 84.5783 seconds Total allocations for mpfr_float_100 (no expression templates = 325676494 Time for static_mpfr_float_100 = 69.8614 seconds Total allocations for static_mpfr_float_100 = 15326962 Time for mpf_float_100 = 60.903 seconds Total allocations for mpf_float_100 = 280052298 Time for mpf_float_100 (no expression templates = 52.3144 seconds Total allocations for mpf_float_100 (no expression templates = 265239868 Time for cpp_dec_float_100 = 184.481 seconds Total allocations for cpp_dec_float_100 = 5 Time for cpp_bin_float_100 = 180.534 seconds Total allocations for cpp_bin_float_100 = 2 [table Bessel Functions (100 digit precision) [[Type][Time][# Allocations]] [[cpp_bin_float_100][3.18541 (1.19595s)][6]] [[cpp_dec_float_100][3.01119 (1.13054s)][3]] [[mpf_float_100][1.08204 (0.406251s)][1817791]] [[mpf_float_100 (no expression templates][1.114 (0.418247s)][2221056]] [[mpfr_float_100][1.34504 (0.504992s)][1666200]] [[mpfr_float_100 (no expression templates][1.3399 (0.503061s)][2120706]] [[static_mpfr_float_100][1 (0.375447s)][19391]] ] [table Bessel Functions (16 digit precision) [[Type][Time][# Allocations]] [[arithmetic_backend][2.09301 (0.00133409s)][0]] [[arithmetic_backend - no expression templates][1 (0.000637403s)][0]] [[double][1.07956 (0.000688113s)][14]] [[real_concept][2.34069 (0.00149196s)][0]] ] [table Bessel Functions (50 digit precision) [[Type][Time][# Allocations]] [[cpp_bin_float_50][2.20534 (0.315701s)][4]] [[cpp_bin_float_50 (3 concurrent threads)][2.36703 (0.338848s)][44]] [[cpp_dec_float_50][2.6349 (0.377193s)][3]] [[cpp_dec_float_50 (3 concurrent threads)][2.86599 (0.410275s)][37]] [[mpf_float_50][1.17269 (0.167874s)][870726]] [[mpf_float_50 (3 concurrent threads)][1.43643 (0.205629s)][3482853]] [[mpf_float_50 (no expression templates][1.19799 (0.171495s)][1071229]] [[mpf_float_50 (no expression templates (3 concurrent threads)][1.57224 (0.22507s)][4284875]] [[mpfr_float_50][1.42535 (0.204043s)][813605]] [[mpfr_float_50 (3 concurrent threads)][1.66446 (0.238272s)][3255603]] [[mpfr_float_50 (no expression templates][1.51042 (0.216221s)][1001796]] [[mpfr_float_50 (no expression templates (3 concurrent threads)][1.86742 (0.267326s)][4008535]] [[static_mpfr_float_50][1.02344 (0.146508s)][18685]] [[static_mpfr_float_50 (3 concurrent threads)][1.25745 (0.180008s)][75947]] [[static_mpfr_float_50 (no expression templates)][1 (0.143153s)][46826]] [[static_mpfr_float_50 (no expression templates) (3 concurrent threads)][1.12861 (0.161564s)][189192]] ] [table Non-central T (16 digit precision) [[Type][Time][# Allocations]] [[arithmetic_backend][2.60804 (0.0956691s)][0]] [[arithmetic_backend - no expression templates][1.10211 (0.040428s)][0]] [[double][1 (0.0366824s)][0]] [[real_concept][2.3645 (0.0867356s)][0]] ] [table Non-central T Distribution (100 digit precision) [[Type][Time][# Allocations]] [[cpp_bin_float_100][3.45094 (180.534s)][2]] [[cpp_dec_float_100][3.52639 (184.481s)][5]] [[mpf_float_100][1.16417 (60.903s)][280052298]] [[mpf_float_100 (no expression templates][1 (52.3144s)][265239868]] [[mpfr_float_100][1.77469 (92.8415s)][333396307]] [[mpfr_float_100 (no expression templates][1.61673 (84.5783s)][325676494]] [[static_mpfr_float_100][1.33541 (69.8614s)][15326962]] ] [table Non-central T Distribution (50 digit precision) [[Type][Time][# Allocations]] [[cpp_bin_float_50][2.3739 (59.0179s)][1]] [[cpp_bin_float_50 (3 concurrent threads)][3.21496 (79.9276s)][29]] [[cpp_dec_float_50][2.47505 (61.5326s)][4]] [[mpf_float_50][1.13495 (28.2162s)][162346817]] [[mpf_float_50 (no expression templates][1 (24.8611s)][154896018]] [[mpfr_float_50][1.84473 (45.8621s)][196986977]] [[mpfr_float_50 (no expression templates][1.66952 (41.5062s)][194554719]] [[static_mpfr_float_50][1.25101 (31.1014s)][1798554]] ] [table Polynomial Evaluation (100 digit precision) [[Type][Time][# Allocations]] [[cpp_bin_float_100][1.49187 (0.00144396s)][0]] [[cpp_dec_float_100][1.14049 (0.00110386s)][0]] [[mpf_float_100][1.34564 (0.00130242s)][12976]] [[mpf_float_100 (no expression templates][1 (0.000967883s)][8984]] [[mpfr_float_100][2.05354 (0.00198759s)][12976]] [[static_mpfr_float_100][1.19794 (0.00115947s)][0]] ] [table Polynomial Evaluation (50 digit precision) [[Type][Time][# Allocations]] [[cpp_bin_float_50][1.31826 (0.00100391s)][0]] [[cpp_dec_float_50][1 (0.000761543s)][0]] [[mpf_float_50][1.61279 (0.00122821s)][12976]] [[mpf_float_50 (no expression templates][1.23211 (0.000938302s)][8984]] [[mpfr_float_100 (no expression templates][2.59199 (0.00197391s)][8984]] [[mpfr_float_50][2.26669 (0.00172618s)][12976]] [[mpfr_float_50 (no expression templates][1.83971 (0.00140102s)][8984]] [[static_mpfr_float_50][1.01638 (0.000774017s)][0]] ]