Time bar (total: 5.7s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 25% | 74.9% | 0.1% | 5 |
| 37.5% | 62.4% | 0.1% | 6 |
| 43.7% | 43.7% | 12.6% | 7 |
| 53.1% | 34.3% | 12.6% | 8 |
| 57.8% | 23.4% | 18.8% | 9 |
| 63.2% | 18% | 18.8% | 10 |
| 66% | 12.1% | 22% | 11 |
| 68.9% | 9.2% | 22% | 12 |
| 70.3% | 6.1% | 23.5% | 13 |
| 71.9% | 4.6% | 23.5% | 14 |
Compiled 8 to 7 computations (12.5% saved)
| 1× | intervals |
| 6.0ms | 256× | body | 128 | valid |
| 0.0ms | 5× | body | 128 | invalid |
Compiled 15 to 15 computations (0% saved)
| 1× | egg-herbie |
| 809× | pow-plus_binary64_20942 |
| 508× | exp-prod_binary64_20931 |
| 492× | sqr-pow_binary64_20851 |
| 382× | pow-sqr_binary64_20852 |
| 307× | *-commutative_binary64_20810 |
| 295× | exp-sum_binary64_20925 |
| 217× | distribute-rgt1-in_binary64_20835 |
| 200× | associate-/r*_binary64_20823 |
| 177× | distribute-rgt-out_binary64_20832 |
| 166× | associate-/l/_binary64_20826 |
| 152× | associate-*r*_binary64_20819 associate-+l+_binary64_20812 |
| 149× | associate-*l*_binary64_20820 |
| 130× | +-commutative_binary64_20809 |
| 127× | pow-base-1_binary64_20939 |
| 98× | distribute-lft-out_binary64_20830 |
| 68× | associate-+r+_binary64_20811 |
| 41× | swap-sqr_binary64_20846 |
| 27× | associate-/r/_binary64_20825 associate-/l*_binary64_20824 |
| 22× | distribute-rgt-in_binary64_20829 |
| 16× | *-rgt-identity_binary64_20869 |
| 15× | *-lft-identity_binary64_20868 |
| 14× | distribute-lft-in_binary64_20828 |
| 13× | exp-lft-sqr_binary64_20934 |
| 12× | unswap-sqr_binary64_20847 |
| 11× | cube-unmult_binary64_20916 |
| 10× | exp-sqrt_binary64_20932 distribute-lft1-in_binary64_20834 |
| 9× | cube-prod_binary64_20907 count-2_binary64_20827 |
| 4× | prod-exp_binary64_20928 |
| 3× | unpow1_binary64_20937 |
| 2× | unpow3_binary64_20945 cube-div_binary64_20908 rem-sqrt-square_binary64_20892 |
| 1× | 1-exp_binary64_20923 exp-1-e_binary64_20922 /-rgt-identity_binary64_20870 +-rgt-identity_binary64_20864 div0_binary64_20860 *-inverses_binary64_20859 lft-mult-inverse_binary64_20857 rgt-mult-inverse_binary64_20856 associate-*r/_binary64_20821 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_21142 erf-erfc_binary64_21141 erf-odd_binary64_21140 if-if-and-not_binary64_21139 if-if-and_binary64_21138 if-if-or-not_binary64_21137 if-if-or_binary64_21136 if-not_binary64_21135 if-same_binary64_21134 if-false_binary64_21133 if-true_binary64_21132 not-gte_binary64_21131 not-lte_binary64_21130 not-gt_binary64_21129 not-lt_binary64_21128 gte-same_binary64_21127 lte-same_binary64_21126 gt-same_binary64_21125 lt-same_binary64_21124 sinh---cosh_binary64_21071 sinh-+-cosh_binary64_21070 sinh-cosh_binary64_21069 tanh-def-c_binary64_21068 tanh-def-b_binary64_21067 tanh-def-a_binary64_21066 cosh-def_binary64_21065 sinh-def_binary64_21064 tan-neg_binary64_21011 cos-neg_binary64_21010 sin-neg_binary64_21009 tan-0_binary64_21008 cos-0_binary64_21007 sin-0_binary64_21006 hang-m-tan_binary64_21005 hang-p-tan_binary64_21004 hang-m0-tan_binary64_21003 hang-p0-tan_binary64_21002 hang-0m-tan_binary64_21001 hang-0p-tan_binary64_21000 tan-+PI/2_binary64_20999 tan-+PI_binary64_20998 tan-PI_binary64_20997 tan-PI/3_binary64_20996 tan-PI/4_binary64_20995 tan-PI/6_binary64_20994 cos-+PI/2_binary64_20993 cos-+PI_binary64_20992 cos-PI_binary64_20991 cos-PI/2_binary64_20990 cos-PI/3_binary64_20989 cos-PI/4_binary64_20988 cos-PI/6_binary64_20987 sin-+PI/2_binary64_20986 sin-+PI_binary64_20985 sin-PI_binary64_20984 sin-PI/2_binary64_20983 sin-PI/3_binary64_20982 sin-PI/4_binary64_20981 sin-PI/6_binary64_20980 sub-1-sin_binary64_20979 sub-1-cos_binary64_20978 -1-add-sin_binary64_20977 -1-add-cos_binary64_20976 1-sub-sin_binary64_20975 1-sub-cos_binary64_20974 cos-sin-sum_binary64_20973 log-E_binary64_20969 log-pow_binary64_20968 log-rec_binary64_20967 log-div_binary64_20966 log-prod_binary64_20965 pow-base-0_binary64_20963 unpow1/3_binary64_20946 unpow2_binary64_20944 unpow1/2_binary64_20943 exp-to-pow_binary64_20941 unpow0_binary64_20938 unpow-1_binary64_20936 exp-lft-cube_binary64_20935 exp-cbrt_binary64_20933 div-exp_binary64_20930 rec-exp_binary64_20929 exp-diff_binary64_20927 exp-neg_binary64_20926 e-exp-1_binary64_20924 exp-0_binary64_20921 rem-log-exp_binary64_20920 rem-exp-log_binary64_20919 cube-mult_binary64_20909 cube-neg_binary64_20906 rem-3cbrt-rft_binary64_20905 rem-3cbrt-lft_binary64_20904 rem-cbrt-cube_binary64_20903 rem-cube-cbrt_binary64_20902 sqr-abs_binary64_20894 sqr-neg_binary64_20893 rem-square-sqrt_binary64_20891 times-frac_binary64_20885 div-sub_binary64_20884 neg-mul-1_binary64_20875 neg-sub0_binary64_20874 unsub-neg_binary64_20873 sub-neg_binary64_20872 mul-1-neg_binary64_20871 remove-double-neg_binary64_20867 sub0-neg_binary64_20866 --rgt-identity_binary64_20865 +-lft-identity_binary64_20863 mul0-rgt_binary64_20862 mul0-lft_binary64_20861 +-inverses_binary64_20858 remove-double-div_binary64_20855 difference-of-sqr--1_binary64_20850 difference-of-sqr-1_binary64_20849 difference-of-squares_binary64_20848 cancel-sign-sub-inv_binary64_20845 cancel-sign-sub_binary64_20844 distribute-neg-frac_binary64_20843 distribute-frac-neg_binary64_20842 distribute-neg-out_binary64_20841 distribute-neg-in_binary64_20840 distribute-rgt-neg-out_binary64_20839 distribute-lft-neg-out_binary64_20838 distribute-rgt-neg-in_binary64_20837 distribute-lft-neg-in_binary64_20836 distribute-rgt-out--_binary64_20833 distribute-lft-out--_binary64_20831 associate-*l/_binary64_20822 associate--r-_binary64_20818 associate--l-_binary64_20817 associate--l+_binary64_20816 associate--r+_binary64_20815 associate-+l-_binary64_20814 associate-+r-_binary64_20813 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 17 | 10 |
| 2 | 21 | 10 |
| 3 | 42 | 10 |
| 4 | 36 | 10 |
| 5 | 39 | 10 |
| 6 | 55 | 10 |
| 7 | 125 | 10 |
| 8 | 724 | 10 |
| 9 | 1352 | 10 |
| 10 | 2304 | 10 |
| 11 | 4511 | 10 |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
Compiled 21 to 16 computations (23.8% saved)
Found 2 expressions with local error:
| 0.0b | (+.f64 x (*.f64 y (*.f64 x y))) |
| 0.2b | (*.f64 y (*.f64 x y)) |
| 1× | rewrite-expression-head |
| 7× | pow1_binary64_20940 add-exp-log_binary64_20917 add-cbrt-cube_binary64_20915 |
| 4× | add-log-exp_binary64_20918 |
| 3× | pow-prod-down_binary64_20950 prod-exp_binary64_20928 add-cube-cbrt_binary64_20914 cbrt-unprod_binary64_20912 add-sqr-sqrt_binary64_20901 *-un-lft-identity_binary64_20879 associate-*l*_binary64_20820 |
| 1× | associate-*r*_binary64_20819 *-commutative_binary64_20810 sum-log_binary64_20970 flip3-+_binary64_20882 flip-+_binary64_20853 +-commutative_binary64_20809 |
2 calls:
| 6.0ms | (*.f64 y (*.f64 x y)) |
| 4.0ms | (+.f64 x (*.f64 y (*.f64 x y))) |
Compiled 398 to 106 computations (73.4% saved)
2 calls:
| 112.0ms | (+.f64 x (*.f64 y (*.f64 x y))) |
| 88.0ms | (*.f64 y (*.f64 x y)) |
Compiled 274 to 221 computations (19.3% saved)
| 1× | egg-herbie |
| 391× | cancel-sign-sub-inv_binary64_20845 |
| 380× | associate-*l*_binary64_20820 |
| 376× | associate-/r/_binary64_20825 |
| 290× | distribute-rgt-out_binary64_20832 |
| 266× | associate-*r*_binary64_20819 |
| 261× | unswap-sqr_binary64_20847 |
| 234× | distribute-rgt-neg-in_binary64_20837 |
| 221× | *-commutative_binary64_20810 |
| 214× | distribute-rgt-in_binary64_20829 |
| 210× | distribute-lft-neg-in_binary64_20836 |
| 189× | associate-/l/_binary64_20826 |
| 181× | associate-*l/_binary64_20822 |
| 174× | associate-*r/_binary64_20821 |
| 160× | distribute-lft-in_binary64_20828 |
| 145× | distribute-rgt-out--_binary64_20833 |
| 107× | unsub-neg_binary64_20873 |
| 102× | sqr-pow_binary64_20851 |
| 85× | distribute-neg-frac_binary64_20843 |
| 84× | sub-neg_binary64_20872 |
| 73× | difference-of-squares_binary64_20848 |
| 72× | distribute-lft-out_binary64_20830 |
| 59× | log-prod_binary64_20965 exp-prod_binary64_20931 associate-+r+_binary64_20811 |
| 56× | associate-+l+_binary64_20812 |
| 54× | distribute-rgt1-in_binary64_20835 |
| 47× | cube-prod_binary64_20907 pow-sqr_binary64_20852 |
| 46× | times-frac_binary64_20885 |
| 45× | neg-mul-1_binary64_20875 |
| 43× | neg-sub0_binary64_20874 |
| 42× | log-div_binary64_20966 distribute-lft-neg-out_binary64_20838 |
| 41× | cube-div_binary64_20908 |
| 36× | +-commutative_binary64_20809 |
| 35× | swap-sqr_binary64_20846 |
| 34× | exp-sqrt_binary64_20932 |
| 30× | distribute-rgt-neg-out_binary64_20839 distribute-lft-out--_binary64_20831 |
| 29× | distribute-lft1-in_binary64_20834 |
| 27× | *-rgt-identity_binary64_20869 |
| 24× | pow-plus_binary64_20942 |
| 21× | associate-/l*_binary64_20824 associate-/r*_binary64_20823 |
| 20× | associate-+r-_binary64_20813 |
| 17× | *-lft-identity_binary64_20868 associate-+l-_binary64_20814 |
| 16× | sub0-neg_binary64_20866 |
| 14× | mul0-rgt_binary64_20862 mul0-lft_binary64_20861 |
| 12× | unpow3_binary64_20945 distribute-neg-out_binary64_20841 |
| 11× | +-rgt-identity_binary64_20864 |
| 10× | cube-unmult_binary64_20916 /-rgt-identity_binary64_20870 |
| 9× | log-pow_binary64_20968 |
| 8× | cube-mult_binary64_20909 distribute-neg-in_binary64_20840 |
| 6× | exp-lft-sqr_binary64_20934 exp-sum_binary64_20925 |
| 5× | difference-of-sqr-1_binary64_20849 |
| 4× | count-2_binary64_20827 associate--r+_binary64_20815 |
| 2× | pow-base-1_binary64_20939 prod-exp_binary64_20928 difference-of-sqr--1_binary64_20850 |
| 1× | log-rec_binary64_20967 unpow2_binary64_20944 unpow1_binary64_20937 exp-diff_binary64_20927 1-exp_binary64_20923 exp-1-e_binary64_20922 rem-log-exp_binary64_20920 rem-sqrt-square_binary64_20892 remove-double-neg_binary64_20867 +-lft-identity_binary64_20863 *-inverses_binary64_20859 rgt-mult-inverse_binary64_20856 cancel-sign-sub_binary64_20844 associate--l+_binary64_20816 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_21142 erf-erfc_binary64_21141 erf-odd_binary64_21140 if-if-and-not_binary64_21139 if-if-and_binary64_21138 if-if-or-not_binary64_21137 if-if-or_binary64_21136 if-not_binary64_21135 if-same_binary64_21134 if-false_binary64_21133 if-true_binary64_21132 not-gte_binary64_21131 not-lte_binary64_21130 not-gt_binary64_21129 not-lt_binary64_21128 gte-same_binary64_21127 lte-same_binary64_21126 gt-same_binary64_21125 lt-same_binary64_21124 sinh---cosh_binary64_21071 sinh-+-cosh_binary64_21070 sinh-cosh_binary64_21069 tanh-def-c_binary64_21068 tanh-def-b_binary64_21067 tanh-def-a_binary64_21066 cosh-def_binary64_21065 sinh-def_binary64_21064 tan-neg_binary64_21011 cos-neg_binary64_21010 sin-neg_binary64_21009 tan-0_binary64_21008 cos-0_binary64_21007 sin-0_binary64_21006 hang-m-tan_binary64_21005 hang-p-tan_binary64_21004 hang-m0-tan_binary64_21003 hang-p0-tan_binary64_21002 hang-0m-tan_binary64_21001 hang-0p-tan_binary64_21000 tan-+PI/2_binary64_20999 tan-+PI_binary64_20998 tan-PI_binary64_20997 tan-PI/3_binary64_20996 tan-PI/4_binary64_20995 tan-PI/6_binary64_20994 cos-+PI/2_binary64_20993 cos-+PI_binary64_20992 cos-PI_binary64_20991 cos-PI/2_binary64_20990 cos-PI/3_binary64_20989 cos-PI/4_binary64_20988 cos-PI/6_binary64_20987 sin-+PI/2_binary64_20986 sin-+PI_binary64_20985 sin-PI_binary64_20984 sin-PI/2_binary64_20983 sin-PI/3_binary64_20982 sin-PI/4_binary64_20981 sin-PI/6_binary64_20980 sub-1-sin_binary64_20979 sub-1-cos_binary64_20978 -1-add-sin_binary64_20977 -1-add-cos_binary64_20976 1-sub-sin_binary64_20975 1-sub-cos_binary64_20974 cos-sin-sum_binary64_20973 log-E_binary64_20969 pow-base-0_binary64_20963 unpow1/3_binary64_20946 unpow1/2_binary64_20943 exp-to-pow_binary64_20941 unpow0_binary64_20938 unpow-1_binary64_20936 exp-lft-cube_binary64_20935 exp-cbrt_binary64_20933 div-exp_binary64_20930 rec-exp_binary64_20929 exp-neg_binary64_20926 e-exp-1_binary64_20924 exp-0_binary64_20921 rem-exp-log_binary64_20919 cube-neg_binary64_20906 rem-3cbrt-rft_binary64_20905 rem-3cbrt-lft_binary64_20904 rem-cbrt-cube_binary64_20903 rem-cube-cbrt_binary64_20902 sqr-abs_binary64_20894 sqr-neg_binary64_20893 rem-square-sqrt_binary64_20891 div-sub_binary64_20884 mul-1-neg_binary64_20871 --rgt-identity_binary64_20865 div0_binary64_20860 +-inverses_binary64_20858 lft-mult-inverse_binary64_20857 remove-double-div_binary64_20855 distribute-frac-neg_binary64_20842 associate--r-_binary64_20818 associate--l-_binary64_20817 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 478 |
| 1 | 155 | 454 |
| 2 | 437 | 448 |
| 3 | 1277 | 445 |
| 4 | 3321 | 445 |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 90 | 3 | 93 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 90 | 5 | 95 |
Compiled 1500 to 439 computations (70.7% saved)
Found 1 expressions with local error:
| 4.3b | (*.f64 x (+.f64 1 (*.f64 y y))) |
| 1× | rewrite-expression-head |
| 5× | add-sqr-sqrt_binary64_20901 |
| 3× | pow1_binary64_20940 add-exp-log_binary64_20917 add-cbrt-cube_binary64_20915 add-cube-cbrt_binary64_20914 *-un-lft-identity_binary64_20879 associate-*l*_binary64_20820 associate-*r*_binary64_20819 |
| 2× | associate-*r/_binary64_20821 |
| 1× | pow-prod-down_binary64_20950 prod-exp_binary64_20928 add-log-exp_binary64_20918 cbrt-unprod_binary64_20912 unswap-sqr_binary64_20847 distribute-rgt-in_binary64_20829 distribute-lft-in_binary64_20828 flip3-+_binary64_20882 flip-+_binary64_20853 *-commutative_binary64_20810 |
1 calls:
| 5.0ms | (*.f64 x (+.f64 1 (*.f64 y y))) |
Compiled 318 to 166 computations (47.8% saved)
1 calls:
| 117.0ms | (*.f64 x (+.f64 1 (*.f64 y y))) |
Compiled 148 to 125 computations (15.5% saved)
| 1× | egg-herbie |
| 856× | associate-*l/_binary64_20822 |
| 787× | distribute-rgt-in_binary64_20829 |
| 686× | distribute-lft-in_binary64_20828 |
| 280× | associate-*l*_binary64_20820 |
| 219× | associate-*r*_binary64_20819 |
| 150× | distribute-rgt-out_binary64_20832 |
| 146× | times-frac_binary64_20885 |
| 139× | unswap-sqr_binary64_20847 |
| 78× | associate-/r*_binary64_20823 |
| 72× | associate-/l*_binary64_20824 |
| 70× | associate-/r/_binary64_20825 |
| 66× | sqr-pow_binary64_20851 |
| 41× | exp-prod_binary64_20931 |
| 40× | *-commutative_binary64_20810 |
| 38× | distribute-lft-out_binary64_20830 |
| 37× | pow-sqr_binary64_20852 |
| 32× | cancel-sign-sub-inv_binary64_20845 |
| 29× | associate-*r/_binary64_20821 |
| 28× | pow-plus_binary64_20942 |
| 25× | distribute-rgt-neg-in_binary64_20837 |
| 23× | *-lft-identity_binary64_20868 |
| 21× | *-rgt-identity_binary64_20869 distribute-lft-neg-in_binary64_20836 associate-+l+_binary64_20812 |
| 19× | associate-/l/_binary64_20826 |
| 16× | exp-sqrt_binary64_20932 |
| 15× | distribute-rgt1-in_binary64_20835 associate-+r+_binary64_20811 |
| 14× | log-pow_binary64_20968 log-prod_binary64_20965 cube-prod_binary64_20907 |
| 13× | cube-div_binary64_20908 sub-neg_binary64_20872 |
| 12× | swap-sqr_binary64_20846 distribute-lft-neg-out_binary64_20838 |
| 9× | log-div_binary64_20966 |
| 8× | exp-sum_binary64_20925 distribute-rgt-neg-out_binary64_20839 +-commutative_binary64_20809 |
| 7× | cube-unmult_binary64_20916 neg-sub0_binary64_20874 distribute-lft1-in_binary64_20834 |
| 6× | unpow3_binary64_20945 pow-base-1_binary64_20939 neg-mul-1_binary64_20875 |
| 5× | difference-of-squares_binary64_20848 |
| 4× | prod-exp_binary64_20928 distribute-neg-frac_binary64_20843 |
| 3× | cube-mult_binary64_20909 |
| 2× | count-2_binary64_20827 associate-+r-_binary64_20813 |
| 1× | unpow2_binary64_20944 unpow1_binary64_20937 exp-lft-sqr_binary64_20934 exp-diff_binary64_20927 1-exp_binary64_20923 exp-1-e_binary64_20922 rem-log-exp_binary64_20920 unsub-neg_binary64_20873 /-rgt-identity_binary64_20870 sub0-neg_binary64_20866 +-rgt-identity_binary64_20864 *-inverses_binary64_20859 difference-of-sqr-1_binary64_20849 distribute-rgt-out--_binary64_20833 associate-+l-_binary64_20814 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_21142 erf-erfc_binary64_21141 erf-odd_binary64_21140 if-if-and-not_binary64_21139 if-if-and_binary64_21138 if-if-or-not_binary64_21137 if-if-or_binary64_21136 if-not_binary64_21135 if-same_binary64_21134 if-false_binary64_21133 if-true_binary64_21132 not-gte_binary64_21131 not-lte_binary64_21130 not-gt_binary64_21129 not-lt_binary64_21128 gte-same_binary64_21127 lte-same_binary64_21126 gt-same_binary64_21125 lt-same_binary64_21124 sinh---cosh_binary64_21071 sinh-+-cosh_binary64_21070 sinh-cosh_binary64_21069 tanh-def-c_binary64_21068 tanh-def-b_binary64_21067 tanh-def-a_binary64_21066 cosh-def_binary64_21065 sinh-def_binary64_21064 tan-neg_binary64_21011 cos-neg_binary64_21010 sin-neg_binary64_21009 tan-0_binary64_21008 cos-0_binary64_21007 sin-0_binary64_21006 hang-m-tan_binary64_21005 hang-p-tan_binary64_21004 hang-m0-tan_binary64_21003 hang-p0-tan_binary64_21002 hang-0m-tan_binary64_21001 hang-0p-tan_binary64_21000 tan-+PI/2_binary64_20999 tan-+PI_binary64_20998 tan-PI_binary64_20997 tan-PI/3_binary64_20996 tan-PI/4_binary64_20995 tan-PI/6_binary64_20994 cos-+PI/2_binary64_20993 cos-+PI_binary64_20992 cos-PI_binary64_20991 cos-PI/2_binary64_20990 cos-PI/3_binary64_20989 cos-PI/4_binary64_20988 cos-PI/6_binary64_20987 sin-+PI/2_binary64_20986 sin-+PI_binary64_20985 sin-PI_binary64_20984 sin-PI/2_binary64_20983 sin-PI/3_binary64_20982 sin-PI/4_binary64_20981 sin-PI/6_binary64_20980 sub-1-sin_binary64_20979 sub-1-cos_binary64_20978 -1-add-sin_binary64_20977 -1-add-cos_binary64_20976 1-sub-sin_binary64_20975 1-sub-cos_binary64_20974 cos-sin-sum_binary64_20973 log-E_binary64_20969 log-rec_binary64_20967 pow-base-0_binary64_20963 unpow1/3_binary64_20946 unpow1/2_binary64_20943 exp-to-pow_binary64_20941 unpow0_binary64_20938 unpow-1_binary64_20936 exp-lft-cube_binary64_20935 exp-cbrt_binary64_20933 div-exp_binary64_20930 rec-exp_binary64_20929 exp-neg_binary64_20926 e-exp-1_binary64_20924 exp-0_binary64_20921 rem-exp-log_binary64_20919 cube-neg_binary64_20906 rem-3cbrt-rft_binary64_20905 rem-3cbrt-lft_binary64_20904 rem-cbrt-cube_binary64_20903 rem-cube-cbrt_binary64_20902 sqr-abs_binary64_20894 sqr-neg_binary64_20893 rem-sqrt-square_binary64_20892 rem-square-sqrt_binary64_20891 div-sub_binary64_20884 mul-1-neg_binary64_20871 remove-double-neg_binary64_20867 --rgt-identity_binary64_20865 +-lft-identity_binary64_20863 mul0-rgt_binary64_20862 mul0-lft_binary64_20861 div0_binary64_20860 +-inverses_binary64_20858 lft-mult-inverse_binary64_20857 rgt-mult-inverse_binary64_20856 remove-double-div_binary64_20855 difference-of-sqr--1_binary64_20850 cancel-sign-sub_binary64_20844 distribute-frac-neg_binary64_20842 distribute-neg-out_binary64_20841 distribute-neg-in_binary64_20840 distribute-lft-out--_binary64_20831 associate--r-_binary64_20818 associate--l-_binary64_20817 associate--l+_binary64_20816 associate--r+_binary64_20815 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 394 |
| 1 | 136 | 349 |
| 2 | 470 | 349 |
| 3 | 1223 | 349 |
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 43 | 1 | 44 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 43 | 6 | 49 |
Compiled 591 to 218 computations (63.1% saved)
Found 4 expressions with local error:
| 9.7b | (*.f64 x (*.f64 y y)) |
| 17.7b | (cbrt.f64 (*.f64 y (*.f64 x y))) |
| 17.7b | (cbrt.f64 (*.f64 y (*.f64 x y))) |
| 17.7b | (cbrt.f64 (*.f64 x (*.f64 y y))) |
| 1× | rewrite-expression-head |
| 9× | pow1_binary64_20940 add-exp-log_binary64_20917 add-cbrt-cube_binary64_20915 |
| 6× | add-sqr-sqrt_binary64_20901 |
| 5× | add-cube-cbrt_binary64_20914 *-un-lft-identity_binary64_20879 |
| 4× | add-log-exp_binary64_20918 |
| 3× | pow1/3_binary64_20961 cbrt-prod_binary64_20910 pow-prod-down_binary64_20950 prod-exp_binary64_20928 cbrt-unprod_binary64_20912 associate-*l*_binary64_20820 |
| 1× | unswap-sqr_binary64_20847 associate-*r*_binary64_20819 *-commutative_binary64_20810 |
4 calls:
| 6.0ms | (*.f64 x (*.f64 y y)) |
| 5.0ms | (cbrt.f64 (*.f64 x (*.f64 y y))) |
| 4.0ms | (cbrt.f64 (*.f64 y (*.f64 x y))) |
| 4.0ms | (cbrt.f64 (*.f64 y (*.f64 x y))) |
Compiled 1263 to 229 computations (81.9% saved)
4 calls:
| 311.0ms | (cbrt.f64 (*.f64 y (*.f64 x y))) |
| 297.0ms | (cbrt.f64 (*.f64 y (*.f64 x y))) |
| 296.0ms | (cbrt.f64 (*.f64 x (*.f64 y y))) |
| 87.0ms | (*.f64 x (*.f64 y y)) |
Compiled 1899 to 1115 computations (41.3% saved)
| 1× | egg-herbie |
| 382× | div-sub_binary64_20884 |
| 379× | unsub-neg_binary64_20873 |
| 333× | associate-*l*_binary64_20820 |
| 322× | exp-sum_binary64_20925 |
| 287× | exp-prod_binary64_20931 |
| 233× | unswap-sqr_binary64_20847 |
| 196× | *-commutative_binary64_20810 |
| 190× | associate-*r*_binary64_20819 |
| 172× | exp-diff_binary64_20927 |
| 99× | times-frac_binary64_20885 |
| 96× | prod-exp_binary64_20928 distribute-rgt-in_binary64_20829 |
| 88× | log-prod_binary64_20965 distribute-lft-in_binary64_20828 |
| 72× | sqr-pow_binary64_20851 |
| 67× | neg-sub0_binary64_20874 |
| 59× | log-pow_binary64_20968 |
| 56× | cube-prod_binary64_20907 |
| 55× | associate-*l/_binary64_20822 |
| 53× | neg-mul-1_binary64_20875 cancel-sign-sub-inv_binary64_20845 |
| 52× | associate-/r*_binary64_20823 |
| 51× | exp-to-pow_binary64_20941 |
| 47× | associate-/l*_binary64_20824 associate-+r+_binary64_20811 |
| 44× | sub-neg_binary64_20872 |
| 40× | exp-neg_binary64_20926 |
| 38× | distribute-neg-out_binary64_20841 |
| 37× | pow-plus_binary64_20942 associate--r+_binary64_20815 |
| 35× | log-div_binary64_20966 |
| 34× | pow-sqr_binary64_20852 associate-+l-_binary64_20814 associate-+r-_binary64_20813 |
| 33× | associate-*r/_binary64_20821 |
| 31× | exp-sqrt_binary64_20932 |
| 29× | associate-+l+_binary64_20812 |
| 28× | distribute-lft-neg-out_binary64_20838 associate--l-_binary64_20817 |
| 27× | distribute-rgt-neg-out_binary64_20839 |
| 26× | associate-/r/_binary64_20825 |
| 25× | associate--r-_binary64_20818 |
| 23× | +-commutative_binary64_20809 |
| 21× | associate--l+_binary64_20816 |
| 20× | exp-lft-sqr_binary64_20934 distribute-lft-neg-in_binary64_20836 distribute-lft-out_binary64_20830 |
| 18× | cube-div_binary64_20908 distribute-rgt-neg-in_binary64_20837 |
| 17× | div-exp_binary64_20930 |
| 15× | associate-/l/_binary64_20826 |
| 14× | cube-unmult_binary64_20916 |
| 13× | unpow1/3_binary64_20946 unpow3_binary64_20945 |
| 12× | distribute-neg-in_binary64_20840 |
| 11× | swap-sqr_binary64_20846 |
| 10× | distribute-rgt-out_binary64_20832 |
| 9× | log-rec_binary64_20967 rem-exp-log_binary64_20919 cube-mult_binary64_20909 |
| 8× | distribute-frac-neg_binary64_20842 |
| 6× | rem-sqrt-square_binary64_20892 |
| 5× | count-2_binary64_20827 |
| 4× | --rgt-identity_binary64_20865 distribute-lft-out--_binary64_20831 |
| 3× | unpow2_binary64_20944 remove-double-neg_binary64_20867 sub0-neg_binary64_20866 +-rgt-identity_binary64_20864 mul0-lft_binary64_20861 |
| 2× | unpow1_binary64_20937 rem-log-exp_binary64_20920 rem-3cbrt-lft_binary64_20904 rem-cube-cbrt_binary64_20902 mul0-rgt_binary64_20862 distribute-rgt1-in_binary64_20835 distribute-rgt-out--_binary64_20833 |
| 1× | 1-exp_binary64_20923 exp-1-e_binary64_20922 sqr-neg_binary64_20893 *-rgt-identity_binary64_20869 *-inverses_binary64_20859 rgt-mult-inverse_binary64_20856 cancel-sign-sub_binary64_20844 distribute-neg-frac_binary64_20843 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_21142 erf-erfc_binary64_21141 erf-odd_binary64_21140 if-if-and-not_binary64_21139 if-if-and_binary64_21138 if-if-or-not_binary64_21137 if-if-or_binary64_21136 if-not_binary64_21135 if-same_binary64_21134 if-false_binary64_21133 if-true_binary64_21132 not-gte_binary64_21131 not-lte_binary64_21130 not-gt_binary64_21129 not-lt_binary64_21128 gte-same_binary64_21127 lte-same_binary64_21126 gt-same_binary64_21125 lt-same_binary64_21124 sinh---cosh_binary64_21071 sinh-+-cosh_binary64_21070 sinh-cosh_binary64_21069 tanh-def-c_binary64_21068 tanh-def-b_binary64_21067 tanh-def-a_binary64_21066 cosh-def_binary64_21065 sinh-def_binary64_21064 tan-neg_binary64_21011 cos-neg_binary64_21010 sin-neg_binary64_21009 tan-0_binary64_21008 cos-0_binary64_21007 sin-0_binary64_21006 hang-m-tan_binary64_21005 hang-p-tan_binary64_21004 hang-m0-tan_binary64_21003 hang-p0-tan_binary64_21002 hang-0m-tan_binary64_21001 hang-0p-tan_binary64_21000 tan-+PI/2_binary64_20999 tan-+PI_binary64_20998 tan-PI_binary64_20997 tan-PI/3_binary64_20996 tan-PI/4_binary64_20995 tan-PI/6_binary64_20994 cos-+PI/2_binary64_20993 cos-+PI_binary64_20992 cos-PI_binary64_20991 cos-PI/2_binary64_20990 cos-PI/3_binary64_20989 cos-PI/4_binary64_20988 cos-PI/6_binary64_20987 sin-+PI/2_binary64_20986 sin-+PI_binary64_20985 sin-PI_binary64_20984 sin-PI/2_binary64_20983 sin-PI/3_binary64_20982 sin-PI/4_binary64_20981 sin-PI/6_binary64_20980 sub-1-sin_binary64_20979 sub-1-cos_binary64_20978 -1-add-sin_binary64_20977 -1-add-cos_binary64_20976 1-sub-sin_binary64_20975 1-sub-cos_binary64_20974 cos-sin-sum_binary64_20973 log-E_binary64_20969 pow-base-0_binary64_20963 unpow1/2_binary64_20943 pow-base-1_binary64_20939 unpow0_binary64_20938 unpow-1_binary64_20936 exp-lft-cube_binary64_20935 exp-cbrt_binary64_20933 rec-exp_binary64_20929 e-exp-1_binary64_20924 exp-0_binary64_20921 cube-neg_binary64_20906 rem-3cbrt-rft_binary64_20905 rem-cbrt-cube_binary64_20903 sqr-abs_binary64_20894 rem-square-sqrt_binary64_20891 mul-1-neg_binary64_20871 /-rgt-identity_binary64_20870 *-lft-identity_binary64_20868 +-lft-identity_binary64_20863 div0_binary64_20860 +-inverses_binary64_20858 lft-mult-inverse_binary64_20857 remove-double-div_binary64_20855 difference-of-sqr--1_binary64_20850 difference-of-sqr-1_binary64_20849 difference-of-squares_binary64_20848 distribute-lft1-in_binary64_20834 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 842 |
| 1 | 160 | 745 |
| 2 | 435 | 726 |
| 3 | 1117 | 683 |
| 4 | 2967 | 683 |
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 202 | 3 | 205 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 204 | 7 | 211 |
Compiled 5837 to 957 computations (83.6% saved)
Found 4 expressions with local error:
| 0.6b | (cbrt.f64 x) |
| 0.6b | (cbrt.f64 y) |
| 17.7b | (cbrt.f64 (*.f64 y (*.f64 x y))) |
| 17.7b | (cbrt.f64 (*.f64 y (*.f64 x y))) |
| 1× | rewrite-expression-head |
| 8× | cbrt-prod_binary64_20910 |
| 6× | add-cube-cbrt_binary64_20914 add-sqr-sqrt_binary64_20901 *-un-lft-identity_binary64_20879 |
| 4× | pow1/3_binary64_20961 pow1_binary64_20940 add-log-exp_binary64_20918 add-exp-log_binary64_20917 add-cbrt-cube_binary64_20915 |
4 calls:
| 4.0ms | (cbrt.f64 (*.f64 y (*.f64 x y))) |
| 4.0ms | (cbrt.f64 (*.f64 y (*.f64 x y))) |
| 1.0ms | (cbrt.f64 x) |
| 1.0ms | (cbrt.f64 y) |
Compiled 1114 to 303 computations (72.8% saved)
4 calls:
| 322.0ms | (cbrt.f64 (*.f64 y (*.f64 x y))) |
| 310.0ms | (cbrt.f64 (*.f64 y (*.f64 x y))) |
| 125.0ms | (cbrt.f64 x) |
| 116.0ms | (cbrt.f64 y) |
Compiled 1500 to 978 computations (34.8% saved)
| 1× | egg-herbie |
| 654× | unswap-sqr_binary64_20847 |
| 332× | distribute-rgt-in_binary64_20829 |
| 311× | distribute-lft-in_binary64_20828 |
| 207× | associate-*l*_binary64_20820 |
| 169× | associate-*r*_binary64_20819 |
| 165× | cancel-sign-sub-inv_binary64_20845 |
| 122× | exp-sum_binary64_20925 |
| 120× | log-prod_binary64_20965 |
| 108× | exp-prod_binary64_20931 |
| 97× | distribute-rgt-neg-in_binary64_20837 distribute-lft-neg-in_binary64_20836 |
| 89× | times-frac_binary64_20885 |
| 85× | unsub-neg_binary64_20873 |
| 82× | sqr-pow_binary64_20851 |
| 68× | log-div_binary64_20966 |
| 62× | distribute-neg-in_binary64_20840 |
| 58× | sub-neg_binary64_20872 |
| 54× | distribute-rgt-out_binary64_20832 |
| 53× | associate-/r*_binary64_20823 *-commutative_binary64_20810 |
| 52× | pow-sqr_binary64_20852 |
| 45× | distribute-lft-out_binary64_20830 |
| 44× | distribute-rgt-neg-out_binary64_20839 |
| 39× | distribute-lft-neg-out_binary64_20838 |
| 38× | log-pow_binary64_20968 exp-diff_binary64_20927 |
| 36× | div-sub_binary64_20884 |
| 35× | neg-sub0_binary64_20874 |
| 33× | neg-mul-1_binary64_20875 |
| 32× | distribute-neg-out_binary64_20841 |
| 17× | associate-+r+_binary64_20811 |
| 16× | exp-to-pow_binary64_20941 |
| 14× | pow-plus_binary64_20942 |
| 13× | associate-+l+_binary64_20812 |
| 12× | cube-unmult_binary64_20916 |
| 11× | rem-sqrt-square_binary64_20892 |
| 10× | unpow1/3_binary64_20946 exp-lft-sqr_binary64_20934 exp-neg_binary64_20926 associate--r+_binary64_20815 associate-+r-_binary64_20813 |
| 9× | cube-prod_binary64_20907 +-commutative_binary64_20809 |
| 8× | remove-double-neg_binary64_20867 swap-sqr_binary64_20846 distribute-frac-neg_binary64_20842 associate-/l/_binary64_20826 associate--l+_binary64_20816 |
| 6× | log-rec_binary64_20967 associate--r-_binary64_20818 |
| 5× | distribute-lft-out--_binary64_20831 associate-+l-_binary64_20814 |
| 4× | --rgt-identity_binary64_20865 distribute-rgt1-in_binary64_20835 |
| 3× | rem-3cbrt-lft_binary64_20904 +-rgt-identity_binary64_20864 mul0-lft_binary64_20861 |
| 2× | div-exp_binary64_20930 prod-exp_binary64_20928 rem-exp-log_binary64_20919 mul-1-neg_binary64_20871 sub0-neg_binary64_20866 mul0-rgt_binary64_20862 distribute-rgt-out--_binary64_20833 count-2_binary64_20827 associate-*r/_binary64_20821 associate--l-_binary64_20817 |
| 1× | unpow2_binary64_20944 unpow1_binary64_20937 exp-sqrt_binary64_20932 1-exp_binary64_20923 rem-log-exp_binary64_20920 *-rgt-identity_binary64_20869 *-inverses_binary64_20859 rgt-mult-inverse_binary64_20856 cancel-sign-sub_binary64_20844 distribute-neg-frac_binary64_20843 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_21142 erf-erfc_binary64_21141 erf-odd_binary64_21140 if-if-and-not_binary64_21139 if-if-and_binary64_21138 if-if-or-not_binary64_21137 if-if-or_binary64_21136 if-not_binary64_21135 if-same_binary64_21134 if-false_binary64_21133 if-true_binary64_21132 not-gte_binary64_21131 not-lte_binary64_21130 not-gt_binary64_21129 not-lt_binary64_21128 gte-same_binary64_21127 lte-same_binary64_21126 gt-same_binary64_21125 lt-same_binary64_21124 sinh---cosh_binary64_21071 sinh-+-cosh_binary64_21070 sinh-cosh_binary64_21069 tanh-def-c_binary64_21068 tanh-def-b_binary64_21067 tanh-def-a_binary64_21066 cosh-def_binary64_21065 sinh-def_binary64_21064 tan-neg_binary64_21011 cos-neg_binary64_21010 sin-neg_binary64_21009 tan-0_binary64_21008 cos-0_binary64_21007 sin-0_binary64_21006 hang-m-tan_binary64_21005 hang-p-tan_binary64_21004 hang-m0-tan_binary64_21003 hang-p0-tan_binary64_21002 hang-0m-tan_binary64_21001 hang-0p-tan_binary64_21000 tan-+PI/2_binary64_20999 tan-+PI_binary64_20998 tan-PI_binary64_20997 tan-PI/3_binary64_20996 tan-PI/4_binary64_20995 tan-PI/6_binary64_20994 cos-+PI/2_binary64_20993 cos-+PI_binary64_20992 cos-PI_binary64_20991 cos-PI/2_binary64_20990 cos-PI/3_binary64_20989 cos-PI/4_binary64_20988 cos-PI/6_binary64_20987 sin-+PI/2_binary64_20986 sin-+PI_binary64_20985 sin-PI_binary64_20984 sin-PI/2_binary64_20983 sin-PI/3_binary64_20982 sin-PI/4_binary64_20981 sin-PI/6_binary64_20980 sub-1-sin_binary64_20979 sub-1-cos_binary64_20978 -1-add-sin_binary64_20977 -1-add-cos_binary64_20976 1-sub-sin_binary64_20975 1-sub-cos_binary64_20974 cos-sin-sum_binary64_20973 log-E_binary64_20969 pow-base-0_binary64_20963 unpow3_binary64_20945 unpow1/2_binary64_20943 pow-base-1_binary64_20939 unpow0_binary64_20938 unpow-1_binary64_20936 exp-lft-cube_binary64_20935 exp-cbrt_binary64_20933 rec-exp_binary64_20929 e-exp-1_binary64_20924 exp-1-e_binary64_20922 exp-0_binary64_20921 cube-mult_binary64_20909 cube-div_binary64_20908 cube-neg_binary64_20906 rem-3cbrt-rft_binary64_20905 rem-cbrt-cube_binary64_20903 rem-cube-cbrt_binary64_20902 sqr-abs_binary64_20894 sqr-neg_binary64_20893 rem-square-sqrt_binary64_20891 /-rgt-identity_binary64_20870 *-lft-identity_binary64_20868 +-lft-identity_binary64_20863 div0_binary64_20860 +-inverses_binary64_20858 lft-mult-inverse_binary64_20857 remove-double-div_binary64_20855 difference-of-sqr--1_binary64_20850 difference-of-sqr-1_binary64_20849 difference-of-squares_binary64_20848 distribute-lft1-in_binary64_20834 associate-/r/_binary64_20825 associate-/l*_binary64_20824 associate-*l/_binary64_20822 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 574 |
| 1 | 152 | 572 |
| 2 | 369 | 527 |
| 3 | 1430 | 487 |
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 67 | 1 | 68 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 70 | 5 | 75 |
Compiled 1879 to 629 computations (66.5% saved)
Total 0.1b remaining (85.2%)
Threshold costs 0.1b (85.2%)
Compiled 1854 to 1111 computations (40.1% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64_20810 |
| 1× | +-commutative_binary64_20809 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64_21139 if-if-and_binary64_21138 if-if-or-not_binary64_21137 if-if-or_binary64_21136 if-not_binary64_21135 if-same_binary64_21134 if-false_binary64_21133 if-true_binary64_21132 tan-0_binary64_21008 cos-0_binary64_21007 sin-0_binary64_21006 unpow1_binary64_20937 e-exp-1_binary64_20924 1-exp_binary64_20923 exp-1-e_binary64_20922 exp-0_binary64_20921 sqr-abs_binary64_20894 sqr-neg_binary64_20893 neg-mul-1_binary64_20875 neg-sub0_binary64_20874 unsub-neg_binary64_20873 sub-neg_binary64_20872 mul-1-neg_binary64_20871 /-rgt-identity_binary64_20870 *-rgt-identity_binary64_20869 *-lft-identity_binary64_20868 remove-double-neg_binary64_20867 sub0-neg_binary64_20866 --rgt-identity_binary64_20865 +-rgt-identity_binary64_20864 +-lft-identity_binary64_20863 cancel-sign-sub-inv_binary64_20845 cancel-sign-sub_binary64_20844 distribute-neg-frac_binary64_20843 distribute-frac-neg_binary64_20842 distribute-neg-out_binary64_20841 distribute-neg-in_binary64_20840 distribute-rgt-neg-out_binary64_20839 distribute-lft-neg-out_binary64_20838 distribute-rgt-neg-in_binary64_20837 distribute-lft-neg-in_binary64_20836 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1 | 9 | 10 |
(+ f64 h0 (* f64 h1 (* f64 h0 h1))) |
| 1× | intervals |
| 182.0ms | 8000× | body | 128 | valid |
| 4.0ms | 181× | body | 128 | invalid |
Compiled 367 to 219 computations (40.3% saved)
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