Time bar (total: 21.5s)
| 1× | search |
| 2× | egg-herbie |
| 1154× | associate-*r/_binary64_702 |
| 696× | associate-/r/_binary64_706 |
| 564× | associate-/l/_binary64_707 |
| 492× | unswap-sqr_binary64_728 |
| 376× | times-frac_binary64_766 |
| 307× | associate-*l/_binary64_703 |
| 300× | associate-/r*_binary64_704 |
| 296× | associate-/l*_binary64_705 |
| 280× | sqr-pow_binary64_732 |
| 164× | associate-*l*_binary64_701 |
| 156× | associate-*r*_binary64_700 |
| 104× | *-commutative_binary64_691 |
| 72× | pow-sqr_binary64_733 |
| 60× | pow-plus_binary64_823 |
| 44× | swap-sqr_binary64_727 |
| 40× | rem-sqrt-square_binary64_773 |
| 28× | cube-prod_binary64_788 |
| 24× | unpow3_binary64_826 |
| 20× | unpow2_binary64_825 cube-unmult_binary64_797 |
| 16× | unpow1_binary64_818 |
| 12× | unpow1/2_binary64_824 |
| 8× | cube-mult_binary64_790 |
| 4× | +-commutative_binary64_690 |
| 1× | 1-exp_binary64_804 |
| 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_1023 erf-erfc_binary64_1022 erf-odd_binary64_1021 if-if-and-not_binary64_1020 if-if-and_binary64_1019 if-if-or-not_binary64_1018 if-if-or_binary64_1017 if-not_binary64_1016 if-same_binary64_1015 if-false_binary64_1014 if-true_binary64_1013 not-gte_binary64_1012 not-lte_binary64_1011 not-gt_binary64_1010 not-lt_binary64_1009 gte-same_binary64_1008 lte-same_binary64_1007 gt-same_binary64_1006 lt-same_binary64_1005 sinh---cosh_binary64_952 sinh-+-cosh_binary64_951 sinh-cosh_binary64_950 tanh-def-c_binary64_949 tanh-def-b_binary64_948 tanh-def-a_binary64_947 cosh-def_binary64_946 sinh-def_binary64_945 tan-neg_binary64_892 cos-neg_binary64_891 sin-neg_binary64_890 tan-0_binary64_889 cos-0_binary64_888 sin-0_binary64_887 hang-m-tan_binary64_886 hang-p-tan_binary64_885 hang-m0-tan_binary64_884 hang-p0-tan_binary64_883 hang-0m-tan_binary64_882 hang-0p-tan_binary64_881 tan-+PI/2_binary64_880 tan-+PI_binary64_879 tan-PI_binary64_878 tan-PI/3_binary64_877 tan-PI/4_binary64_876 tan-PI/6_binary64_875 cos-+PI/2_binary64_874 cos-+PI_binary64_873 cos-PI_binary64_872 cos-PI/2_binary64_871 cos-PI/3_binary64_870 cos-PI/4_binary64_869 cos-PI/6_binary64_868 sin-+PI/2_binary64_867 sin-+PI_binary64_866 sin-PI_binary64_865 sin-PI/2_binary64_864 sin-PI/3_binary64_863 sin-PI/4_binary64_862 sin-PI/6_binary64_861 sub-1-sin_binary64_860 sub-1-cos_binary64_859 -1-add-sin_binary64_858 -1-add-cos_binary64_857 1-sub-sin_binary64_856 1-sub-cos_binary64_855 cos-sin-sum_binary64_854 log-E_binary64_850 log-pow_binary64_849 log-rec_binary64_848 log-div_binary64_847 log-prod_binary64_846 pow-base-0_binary64_844 unpow1/3_binary64_827 exp-to-pow_binary64_822 pow-base-1_binary64_820 unpow0_binary64_819 unpow-1_binary64_817 exp-lft-cube_binary64_816 exp-lft-sqr_binary64_815 exp-cbrt_binary64_814 exp-sqrt_binary64_813 exp-prod_binary64_812 div-exp_binary64_811 rec-exp_binary64_810 prod-exp_binary64_809 exp-diff_binary64_808 exp-neg_binary64_807 exp-sum_binary64_806 e-exp-1_binary64_805 exp-1-e_binary64_803 exp-0_binary64_802 rem-log-exp_binary64_801 rem-exp-log_binary64_800 cube-div_binary64_789 cube-neg_binary64_787 rem-3cbrt-rft_binary64_786 rem-3cbrt-lft_binary64_785 rem-cbrt-cube_binary64_784 rem-cube-cbrt_binary64_783 sqr-abs_binary64_775 sqr-neg_binary64_774 rem-square-sqrt_binary64_772 div-sub_binary64_765 neg-mul-1_binary64_756 neg-sub0_binary64_755 unsub-neg_binary64_754 sub-neg_binary64_753 mul-1-neg_binary64_752 /-rgt-identity_binary64_751 *-rgt-identity_binary64_750 *-lft-identity_binary64_749 remove-double-neg_binary64_748 sub0-neg_binary64_747 --rgt-identity_binary64_746 +-rgt-identity_binary64_745 +-lft-identity_binary64_744 mul0-rgt_binary64_743 mul0-lft_binary64_742 div0_binary64_741 *-inverses_binary64_740 +-inverses_binary64_739 lft-mult-inverse_binary64_738 rgt-mult-inverse_binary64_737 remove-double-div_binary64_736 difference-of-sqr--1_binary64_731 difference-of-sqr-1_binary64_730 difference-of-squares_binary64_729 cancel-sign-sub-inv_binary64_726 cancel-sign-sub_binary64_725 distribute-neg-frac_binary64_724 distribute-frac-neg_binary64_723 distribute-neg-out_binary64_722 distribute-neg-in_binary64_721 distribute-rgt-neg-out_binary64_720 distribute-lft-neg-out_binary64_719 distribute-rgt-neg-in_binary64_718 distribute-lft-neg-in_binary64_717 distribute-rgt1-in_binary64_716 distribute-lft1-in_binary64_715 distribute-rgt-out--_binary64_714 distribute-rgt-out_binary64_713 distribute-lft-out--_binary64_712 distribute-lft-out_binary64_711 distribute-rgt-in_binary64_710 distribute-lft-in_binary64_709 count-2_binary64_708 associate--r-_binary64_699 associate--l-_binary64_698 associate--l+_binary64_697 associate--r+_binary64_696 associate-+l-_binary64_695 associate-+r-_binary64_694 associate-+l+_binary64_693 associate-+r+_binary64_692 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 148 |
| 1 | 112 | 148 |
| 2 | 271 | 148 |
| 3 | 756 | 148 |
| 4 | 2792 | 148 |
| 5 | 3544 | 148 |
| 6 | 3772 | 148 |
| 7 | 4300 | 148 |
| 8 | 4407 | 148 |
| 9 | 4516 | 148 |
| 10 | 5366 | 148 |
| 0 | 3 | 3 |
| 1 | 3 | 3 |
| 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 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 0% | 99.9% | 0.1% | 7 |
| 15.6% | 84.3% | 0.1% | 8 |
| 15.6% | 84.3% | 0.1% | 9 |
| 15.6% | 84.3% | 0.1% | 10 |
| 30.4% | 69.4% | 0.1% | 11 |
| 30.4% | 69.4% | 0.1% | 12 |
| 30.4% | 69.4% | 0.1% | 13 |
| 39.6% | 60.3% | 0.1% | 14 |
Compiled 25 to 23 computations (8% saved)
| 1× | intervals |
| 33.0ms | 57× | body | 1024 | valid |
| 21.0ms | 38× | body | 512 | valid |
| 17.0ms | 144× | body | 128 | valid |
| 5.0ms | 17× | body | 256 | valid |
Compiled 49 to 48 computations (2% saved)
| 1× | egg-herbie |
| 1043× | associate-*l/_binary64_703 |
| 692× | associate-/l/_binary64_707 |
| 651× | associate-/r/_binary64_706 |
| 525× | associate-*r/_binary64_702 |
| 474× | associate-/l*_binary64_705 |
| 398× | times-frac_binary64_766 |
| 330× | unswap-sqr_binary64_728 |
| 263× | sqr-pow_binary64_732 |
| 246× | associate-/r*_binary64_704 |
| 210× | associate-*l*_binary64_701 |
| 155× | associate-*r*_binary64_700 |
| 98× | pow-sqr_binary64_733 |
| 72× | cube-prod_binary64_788 |
| 66× | *-commutative_binary64_691 |
| 48× | unpow3_binary64_826 |
| 42× | cube-mult_binary64_790 |
| 36× | pow-plus_binary64_823 |
| 20× | rem-sqrt-square_binary64_773 |
| 12× | swap-sqr_binary64_727 |
| 7× | unpow2_binary64_825 unpow1_binary64_818 |
| 6× | unpow1/2_binary64_824 |
| 5× | cube-unmult_binary64_797 |
| 1× | 1-exp_binary64_804 +-commutative_binary64_690 |
| 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_1023 erf-erfc_binary64_1022 erf-odd_binary64_1021 if-if-and-not_binary64_1020 if-if-and_binary64_1019 if-if-or-not_binary64_1018 if-if-or_binary64_1017 if-not_binary64_1016 if-same_binary64_1015 if-false_binary64_1014 if-true_binary64_1013 not-gte_binary64_1012 not-lte_binary64_1011 not-gt_binary64_1010 not-lt_binary64_1009 gte-same_binary64_1008 lte-same_binary64_1007 gt-same_binary64_1006 lt-same_binary64_1005 sinh---cosh_binary64_952 sinh-+-cosh_binary64_951 sinh-cosh_binary64_950 tanh-def-c_binary64_949 tanh-def-b_binary64_948 tanh-def-a_binary64_947 cosh-def_binary64_946 sinh-def_binary64_945 tan-neg_binary64_892 cos-neg_binary64_891 sin-neg_binary64_890 tan-0_binary64_889 cos-0_binary64_888 sin-0_binary64_887 hang-m-tan_binary64_886 hang-p-tan_binary64_885 hang-m0-tan_binary64_884 hang-p0-tan_binary64_883 hang-0m-tan_binary64_882 hang-0p-tan_binary64_881 tan-+PI/2_binary64_880 tan-+PI_binary64_879 tan-PI_binary64_878 tan-PI/3_binary64_877 tan-PI/4_binary64_876 tan-PI/6_binary64_875 cos-+PI/2_binary64_874 cos-+PI_binary64_873 cos-PI_binary64_872 cos-PI/2_binary64_871 cos-PI/3_binary64_870 cos-PI/4_binary64_869 cos-PI/6_binary64_868 sin-+PI/2_binary64_867 sin-+PI_binary64_866 sin-PI_binary64_865 sin-PI/2_binary64_864 sin-PI/3_binary64_863 sin-PI/4_binary64_862 sin-PI/6_binary64_861 sub-1-sin_binary64_860 sub-1-cos_binary64_859 -1-add-sin_binary64_858 -1-add-cos_binary64_857 1-sub-sin_binary64_856 1-sub-cos_binary64_855 cos-sin-sum_binary64_854 log-E_binary64_850 log-pow_binary64_849 log-rec_binary64_848 log-div_binary64_847 log-prod_binary64_846 pow-base-0_binary64_844 unpow1/3_binary64_827 exp-to-pow_binary64_822 pow-base-1_binary64_820 unpow0_binary64_819 unpow-1_binary64_817 exp-lft-cube_binary64_816 exp-lft-sqr_binary64_815 exp-cbrt_binary64_814 exp-sqrt_binary64_813 exp-prod_binary64_812 div-exp_binary64_811 rec-exp_binary64_810 prod-exp_binary64_809 exp-diff_binary64_808 exp-neg_binary64_807 exp-sum_binary64_806 e-exp-1_binary64_805 exp-1-e_binary64_803 exp-0_binary64_802 rem-log-exp_binary64_801 rem-exp-log_binary64_800 cube-div_binary64_789 cube-neg_binary64_787 rem-3cbrt-rft_binary64_786 rem-3cbrt-lft_binary64_785 rem-cbrt-cube_binary64_784 rem-cube-cbrt_binary64_783 sqr-abs_binary64_775 sqr-neg_binary64_774 rem-square-sqrt_binary64_772 div-sub_binary64_765 neg-mul-1_binary64_756 neg-sub0_binary64_755 unsub-neg_binary64_754 sub-neg_binary64_753 mul-1-neg_binary64_752 /-rgt-identity_binary64_751 *-rgt-identity_binary64_750 *-lft-identity_binary64_749 remove-double-neg_binary64_748 sub0-neg_binary64_747 --rgt-identity_binary64_746 +-rgt-identity_binary64_745 +-lft-identity_binary64_744 mul0-rgt_binary64_743 mul0-lft_binary64_742 div0_binary64_741 *-inverses_binary64_740 +-inverses_binary64_739 lft-mult-inverse_binary64_738 rgt-mult-inverse_binary64_737 remove-double-div_binary64_736 difference-of-sqr--1_binary64_731 difference-of-sqr-1_binary64_730 difference-of-squares_binary64_729 cancel-sign-sub-inv_binary64_726 cancel-sign-sub_binary64_725 distribute-neg-frac_binary64_724 distribute-frac-neg_binary64_723 distribute-neg-out_binary64_722 distribute-neg-in_binary64_721 distribute-rgt-neg-out_binary64_720 distribute-lft-neg-out_binary64_719 distribute-rgt-neg-in_binary64_718 distribute-lft-neg-in_binary64_717 distribute-rgt1-in_binary64_716 distribute-lft1-in_binary64_715 distribute-rgt-out--_binary64_714 distribute-rgt-out_binary64_713 distribute-lft-out--_binary64_712 distribute-lft-out_binary64_711 distribute-rgt-in_binary64_710 distribute-lft-in_binary64_709 count-2_binary64_708 associate--r-_binary64_699 associate--l-_binary64_698 associate--l+_binary64_697 associate--r+_binary64_696 associate-+l-_binary64_695 associate-+r-_binary64_694 associate-+l+_binary64_693 associate-+r+_binary64_692 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 37 |
| 1 | 37 | 37 |
| 2 | 81 | 37 |
| 3 | 206 | 37 |
| 4 | 726 | 37 |
| 5 | 2240 | 37 |
| 6 | 2389 | 37 |
| 7 | 2768 | 37 |
| 8 | 2812 | 37 |
| 9 | 2915 | 37 |
| 10 | 3034 | 37 |
| 11 | 4545 | 37 |
| 12 | 4766 | 37 |
| 13 | 4871 | 37 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 0 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 1 | 2 |
Compiled 48 to 44 computations (8.3% saved)
Found 4 expressions with local error:
| 0.1b | (*.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))) |
| 0.2b | (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2) |
| 6.2b | (*.f64 (*.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))) |
| 10.6b | (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) |
| 1× | rewrite-expression-head |
| 28× | add-exp-log_binary64_798 |
| 20× | pow1_binary64_821 |
| 18× | add-cbrt-cube_binary64_796 |
| 15× | *-un-lft-identity_binary64_760 |
| 12× | add-sqr-sqrt_binary64_782 prod-exp_binary64_809 |
| 11× | add-cube-cbrt_binary64_795 |
| 10× | associate-*r*_binary64_700 |
| 9× | pow-prod-down_binary64_831 cbrt-unprod_binary64_793 |
| 8× | sqrt-prod_binary64_776 |
| 7× | unpow-prod-down_binary64_839 |
| 4× | add-log-exp_binary64_799 sqrt-div_binary64_777 pow-exp_binary64_828 |
| 3× | times-frac_binary64_766 pow-unpow_binary64_837 div-exp_binary64_811 |
| 2× | flip3-+_binary64_763 flip-+_binary64_734 distribute-lft-out_binary64_711 associate-*r/_binary64_702 associate-*l*_binary64_701 *-commutative_binary64_691 |
| 1× | pow1/2_binary64_840 sqrt-pow1_binary64_778 rem-sqrt-square_binary64_773 div-inv_binary64_757 pow-pow_binary64_832 pow-to-exp_binary64_829 unpow2_binary64_825 sqr-pow_binary64_732 |
4 calls:
| 17.0ms | (*.f64 (*.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))) |
| 9.0ms | (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) |
| 8.0ms | (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2) |
| 5.0ms | (*.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))) |
Compiled 3141 to 2524 computations (19.6% saved)
4 calls:
| 821.0ms | (*.f64 (*.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))) |
| 552.0ms | (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) |
| 529.0ms | (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2) |
| 162.0ms | (*.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))) |
Compiled 3662 to 3168 computations (13.5% saved)
| 1× | egg-herbie |
| 836× | times-frac_binary64_766 |
| 281× | associate-*l*_binary64_701 |
| 216× | associate-*r*_binary64_700 |
| 153× | *-commutative_binary64_691 |
| 148× | distribute-rgt-in_binary64_710 |
| 138× | log-prod_binary64_846 distribute-lft-in_binary64_709 |
| 125× | cancel-sign-sub-inv_binary64_726 |
| 115× | exp-prod_binary64_812 |
| 103× | unswap-sqr_binary64_728 |
| 94× | sqr-pow_binary64_732 |
| 92× | distribute-rgt-neg-in_binary64_718 |
| 74× | distribute-lft-neg-in_binary64_717 |
| 59× | sub-neg_binary64_753 |
| 56× | distribute-lft-neg-out_binary64_719 |
| 54× | associate-/r*_binary64_704 |
| 51× | distribute-neg-frac_binary64_724 associate-/l*_binary64_705 |
| 46× | associate-*r/_binary64_702 |
| 43× | +-commutative_binary64_690 |
| 41× | swap-sqr_binary64_727 |
| 40× | cube-prod_binary64_788 associate-*l/_binary64_703 |
| 39× | distribute-rgt-neg-out_binary64_720 |
| 38× | neg-sub0_binary64_755 |
| 37× | neg-mul-1_binary64_756 |
| 31× | unpow3_binary64_826 |
| 25× | *-lft-identity_binary64_749 |
| 18× | unpow1/2_binary64_824 *-rgt-identity_binary64_750 distribute-neg-in_binary64_721 |
| 16× | log-pow_binary64_849 associate--r+_binary64_696 |
| 15× | unpow2_binary64_825 unpow1_binary64_818 associate-+l+_binary64_693 |
| 14× | log-div_binary64_847 |
| 13× | distribute-lft-out--_binary64_712 |
| 12× | pow-plus_binary64_823 |
| 11× | unsub-neg_binary64_754 distribute-rgt-out--_binary64_714 distribute-rgt-out_binary64_713 |
| 10× | pow-sqr_binary64_733 |
| 9× | cube-unmult_binary64_797 associate-+r+_binary64_692 |
| 8× | cube-div_binary64_789 associate-/r/_binary64_706 |
| 7× | associate--l+_binary64_697 |
| 5× | cube-mult_binary64_790 rem-sqrt-square_binary64_773 distribute-rgt1-in_binary64_716 |
| 4× | distribute-lft-out_binary64_711 |
| 2× | exp-lft-sqr_binary64_815 rem-square-sqrt_binary64_772 difference-of-sqr-1_binary64_730 difference-of-squares_binary64_729 associate-+r-_binary64_694 |
| 1× | unpow-1_binary64_817 exp-diff_binary64_808 1-exp_binary64_804 exp-1-e_binary64_803 cube-neg_binary64_787 rem-3cbrt-rft_binary64_786 sqr-neg_binary64_774 mul-1-neg_binary64_752 +-rgt-identity_binary64_745 distribute-lft1-in_binary64_715 associate-/l/_binary64_707 associate-+l-_binary64_695 |
| 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_1023 erf-erfc_binary64_1022 erf-odd_binary64_1021 if-if-and-not_binary64_1020 if-if-and_binary64_1019 if-if-or-not_binary64_1018 if-if-or_binary64_1017 if-not_binary64_1016 if-same_binary64_1015 if-false_binary64_1014 if-true_binary64_1013 not-gte_binary64_1012 not-lte_binary64_1011 not-gt_binary64_1010 not-lt_binary64_1009 gte-same_binary64_1008 lte-same_binary64_1007 gt-same_binary64_1006 lt-same_binary64_1005 sinh---cosh_binary64_952 sinh-+-cosh_binary64_951 sinh-cosh_binary64_950 tanh-def-c_binary64_949 tanh-def-b_binary64_948 tanh-def-a_binary64_947 cosh-def_binary64_946 sinh-def_binary64_945 tan-neg_binary64_892 cos-neg_binary64_891 sin-neg_binary64_890 tan-0_binary64_889 cos-0_binary64_888 sin-0_binary64_887 hang-m-tan_binary64_886 hang-p-tan_binary64_885 hang-m0-tan_binary64_884 hang-p0-tan_binary64_883 hang-0m-tan_binary64_882 hang-0p-tan_binary64_881 tan-+PI/2_binary64_880 tan-+PI_binary64_879 tan-PI_binary64_878 tan-PI/3_binary64_877 tan-PI/4_binary64_876 tan-PI/6_binary64_875 cos-+PI/2_binary64_874 cos-+PI_binary64_873 cos-PI_binary64_872 cos-PI/2_binary64_871 cos-PI/3_binary64_870 cos-PI/4_binary64_869 cos-PI/6_binary64_868 sin-+PI/2_binary64_867 sin-+PI_binary64_866 sin-PI_binary64_865 sin-PI/2_binary64_864 sin-PI/3_binary64_863 sin-PI/4_binary64_862 sin-PI/6_binary64_861 sub-1-sin_binary64_860 sub-1-cos_binary64_859 -1-add-sin_binary64_858 -1-add-cos_binary64_857 1-sub-sin_binary64_856 1-sub-cos_binary64_855 cos-sin-sum_binary64_854 log-E_binary64_850 log-rec_binary64_848 pow-base-0_binary64_844 unpow1/3_binary64_827 exp-to-pow_binary64_822 pow-base-1_binary64_820 unpow0_binary64_819 exp-lft-cube_binary64_816 exp-cbrt_binary64_814 exp-sqrt_binary64_813 div-exp_binary64_811 rec-exp_binary64_810 prod-exp_binary64_809 exp-neg_binary64_807 exp-sum_binary64_806 e-exp-1_binary64_805 exp-0_binary64_802 rem-log-exp_binary64_801 rem-exp-log_binary64_800 rem-3cbrt-lft_binary64_785 rem-cbrt-cube_binary64_784 rem-cube-cbrt_binary64_783 sqr-abs_binary64_775 div-sub_binary64_765 /-rgt-identity_binary64_751 remove-double-neg_binary64_748 sub0-neg_binary64_747 --rgt-identity_binary64_746 +-lft-identity_binary64_744 mul0-rgt_binary64_743 mul0-lft_binary64_742 div0_binary64_741 *-inverses_binary64_740 +-inverses_binary64_739 lft-mult-inverse_binary64_738 rgt-mult-inverse_binary64_737 remove-double-div_binary64_736 difference-of-sqr--1_binary64_731 cancel-sign-sub_binary64_725 distribute-frac-neg_binary64_723 distribute-neg-out_binary64_722 count-2_binary64_708 associate--r-_binary64_699 associate--l-_binary64_698 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 248 | 3755 |
| 1 | 610 | 3435 |
| 2 | 2097 | 3391 |
| 3 | 4762 | 3391 |
| 4 | 4943 | 3391 |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 97 | 7 | 104 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 97 | 8 | 105 |
Compiled 3263 to 2487 computations (23.8% saved)
Found 4 expressions with local error:
| 0.3b | (cbrt.f64 (cos.f64 (/.f64 K 2))) |
| 0.3b | (cbrt.f64 (cos.f64 (/.f64 K 2))) |
| 6.2b | (*.f64 (*.f64 (*.f64 (*.f64 J -2) (*.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))) (cbrt.f64 (cos.f64 (/.f64 K 2)))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))) |
| 10.6b | (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) |
| 1× | rewrite-expression-head |
| 30× | pow1_binary64_821 |
| 29× | add-exp-log_binary64_798 |
| 20× | add-cbrt-cube_binary64_796 |
| 19× | pow-prod-down_binary64_831 prod-exp_binary64_809 cbrt-unprod_binary64_793 |
| 13× | *-un-lft-identity_binary64_760 |
| 10× | add-sqr-sqrt_binary64_782 |
| 9× | add-cube-cbrt_binary64_795 |
| 8× | sqrt-prod_binary64_776 |
| 7× | associate-*r*_binary64_700 |
| 6× | cbrt-prod_binary64_791 |
| 4× | add-log-exp_binary64_799 sqrt-div_binary64_777 |
| 2× | flip3-+_binary64_763 flip-+_binary64_734 distribute-lft-out_binary64_711 associate-*r/_binary64_702 pow1/3_binary64_842 |
| 1× | pow1/2_binary64_840 sqrt-pow1_binary64_778 rem-sqrt-square_binary64_773 associate-*l*_binary64_701 *-commutative_binary64_691 |
4 calls:
| 28.0ms | (*.f64 (*.f64 (*.f64 (*.f64 J -2) (*.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))) (cbrt.f64 (cos.f64 (/.f64 K 2)))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))) |
| 9.0ms | (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) |
| 1.0ms | (cbrt.f64 (cos.f64 (/.f64 K 2))) |
| 1.0ms | (cbrt.f64 (cos.f64 (/.f64 K 2))) |
Compiled 3902 to 3195 computations (18.1% saved)
4 calls:
| 873.0ms | (*.f64 (*.f64 (*.f64 (*.f64 J -2) (*.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))) (cbrt.f64 (cos.f64 (/.f64 K 2)))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))) |
| 596.0ms | (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) |
| 138.0ms | (cbrt.f64 (cos.f64 (/.f64 K 2))) |
| 129.0ms | (cbrt.f64 (cos.f64 (/.f64 K 2))) |
Compiled 3744 to 3220 computations (14% saved)
| 1× | egg-herbie |
| 597× | times-frac_binary64_766 |
| 408× | associate-/l*_binary64_705 |
| 368× | associate-*l*_binary64_701 |
| 297× | associate-/r*_binary64_704 |
| 263× | associate-*r*_binary64_700 |
| 148× | *-commutative_binary64_691 |
| 140× | distribute-rgt-in_binary64_710 |
| 134× | distribute-lft-in_binary64_709 |
| 111× | cancel-sign-sub-inv_binary64_726 |
| 90× | distribute-rgt-neg-in_binary64_718 |
| 81× | unswap-sqr_binary64_728 |
| 80× | associate-/r/_binary64_706 |
| 74× | distribute-lft-neg-in_binary64_717 |
| 57× | associate-/l/_binary64_707 |
| 53× | sqr-pow_binary64_732 distribute-neg-frac_binary64_724 |
| 49× | log-prod_binary64_846 |
| 47× | sub-neg_binary64_753 |
| 46× | exp-prod_binary64_812 |
| 44× | swap-sqr_binary64_727 |
| 43× | cube-prod_binary64_788 |
| 40× | +-commutative_binary64_690 |
| 36× | neg-sub0_binary64_755 |
| 35× | neg-mul-1_binary64_756 |
| 32× | associate-+l+_binary64_693 |
| 29× | associate-*r/_binary64_702 |
| 23× | associate-*l/_binary64_703 |
| 17× | distribute-neg-in_binary64_721 |
| 15× | *-lft-identity_binary64_749 |
| 14× | associate-+r+_binary64_692 |
| 12× | *-rgt-identity_binary64_750 associate--r+_binary64_696 |
| 10× | cube-unmult_binary64_797 cube-div_binary64_789 unsub-neg_binary64_754 |
| 8× | distribute-lft-neg-out_binary64_719 |
| 6× | unpow3_binary64_826 distribute-rgt-out--_binary64_714 distribute-rgt-out_binary64_713 |
| 5× | unpow2_binary64_825 unpow1/2_binary64_824 unpow1_binary64_818 cube-mult_binary64_790 distribute-rgt1-in_binary64_716 |
| 4× | pow-sqr_binary64_733 |
| 3× | pow-plus_binary64_823 |
| 2× | log-pow_binary64_849 rem-sqrt-square_binary64_773 difference-of-sqr-1_binary64_730 difference-of-squares_binary64_729 distribute-lft1-in_binary64_715 distribute-lft-out_binary64_711 associate--l+_binary64_697 associate-+r-_binary64_694 |
| 1× | unpow1/3_binary64_827 1-exp_binary64_804 exp-1-e_binary64_803 rem-3cbrt-lft_binary64_785 rem-square-sqrt_binary64_772 mul-1-neg_binary64_752 +-rgt-identity_binary64_745 distribute-rgt-neg-out_binary64_720 distribute-lft-out--_binary64_712 count-2_binary64_708 associate-+l-_binary64_695 |
| 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_1023 erf-erfc_binary64_1022 erf-odd_binary64_1021 if-if-and-not_binary64_1020 if-if-and_binary64_1019 if-if-or-not_binary64_1018 if-if-or_binary64_1017 if-not_binary64_1016 if-same_binary64_1015 if-false_binary64_1014 if-true_binary64_1013 not-gte_binary64_1012 not-lte_binary64_1011 not-gt_binary64_1010 not-lt_binary64_1009 gte-same_binary64_1008 lte-same_binary64_1007 gt-same_binary64_1006 lt-same_binary64_1005 sinh---cosh_binary64_952 sinh-+-cosh_binary64_951 sinh-cosh_binary64_950 tanh-def-c_binary64_949 tanh-def-b_binary64_948 tanh-def-a_binary64_947 cosh-def_binary64_946 sinh-def_binary64_945 tan-neg_binary64_892 cos-neg_binary64_891 sin-neg_binary64_890 tan-0_binary64_889 cos-0_binary64_888 sin-0_binary64_887 hang-m-tan_binary64_886 hang-p-tan_binary64_885 hang-m0-tan_binary64_884 hang-p0-tan_binary64_883 hang-0m-tan_binary64_882 hang-0p-tan_binary64_881 tan-+PI/2_binary64_880 tan-+PI_binary64_879 tan-PI_binary64_878 tan-PI/3_binary64_877 tan-PI/4_binary64_876 tan-PI/6_binary64_875 cos-+PI/2_binary64_874 cos-+PI_binary64_873 cos-PI_binary64_872 cos-PI/2_binary64_871 cos-PI/3_binary64_870 cos-PI/4_binary64_869 cos-PI/6_binary64_868 sin-+PI/2_binary64_867 sin-+PI_binary64_866 sin-PI_binary64_865 sin-PI/2_binary64_864 sin-PI/3_binary64_863 sin-PI/4_binary64_862 sin-PI/6_binary64_861 sub-1-sin_binary64_860 sub-1-cos_binary64_859 -1-add-sin_binary64_858 -1-add-cos_binary64_857 1-sub-sin_binary64_856 1-sub-cos_binary64_855 cos-sin-sum_binary64_854 log-E_binary64_850 log-rec_binary64_848 log-div_binary64_847 pow-base-0_binary64_844 exp-to-pow_binary64_822 pow-base-1_binary64_820 unpow0_binary64_819 unpow-1_binary64_817 exp-lft-cube_binary64_816 exp-lft-sqr_binary64_815 exp-cbrt_binary64_814 exp-sqrt_binary64_813 div-exp_binary64_811 rec-exp_binary64_810 prod-exp_binary64_809 exp-diff_binary64_808 exp-neg_binary64_807 exp-sum_binary64_806 e-exp-1_binary64_805 exp-0_binary64_802 rem-log-exp_binary64_801 rem-exp-log_binary64_800 cube-neg_binary64_787 rem-3cbrt-rft_binary64_786 rem-cbrt-cube_binary64_784 rem-cube-cbrt_binary64_783 sqr-abs_binary64_775 sqr-neg_binary64_774 div-sub_binary64_765 /-rgt-identity_binary64_751 remove-double-neg_binary64_748 sub0-neg_binary64_747 --rgt-identity_binary64_746 +-lft-identity_binary64_744 mul0-rgt_binary64_743 mul0-lft_binary64_742 div0_binary64_741 *-inverses_binary64_740 +-inverses_binary64_739 lft-mult-inverse_binary64_738 rgt-mult-inverse_binary64_737 remove-double-div_binary64_736 difference-of-sqr--1_binary64_731 cancel-sign-sub_binary64_725 distribute-frac-neg_binary64_723 distribute-neg-out_binary64_722 associate--r-_binary64_699 associate--l-_binary64_698 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 217 | 3365 |
| 1 | 536 | 3001 |
| 2 | 2014 | 2969 |
| 3 | 4960 | 2969 |
9 alts after pruning (7 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 75 | 1 | 76 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 75 | 9 | 84 |
Compiled 2849 to 2223 computations (22% saved)
Found 4 expressions with local error:
| 6.2b | (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) (*.f64 (*.f64 J -2) (cos.f64 (/.f64 K 2)))) |
| 10.6b | (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) |
| 10.6b | (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) |
| 10.6b | (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) |
| 1× | rewrite-expression-head |
| 17× | *-un-lft-identity_binary64_760 |
| 16× | pow1_binary64_821 sqrt-prod_binary64_776 |
| 13× | add-exp-log_binary64_798 add-cbrt-cube_binary64_796 |
| 12× | add-sqr-sqrt_binary64_782 |
| 9× | add-cube-cbrt_binary64_795 |
| 8× | sqrt-div_binary64_777 |
| 7× | associate-*l*_binary64_701 |
| 6× | pow-prod-down_binary64_831 prod-exp_binary64_809 cbrt-unprod_binary64_793 |
| 4× | add-log-exp_binary64_799 flip3-+_binary64_763 flip-+_binary64_734 distribute-lft-out_binary64_711 |
| 3× | pow1/2_binary64_840 sqrt-pow1_binary64_778 rem-sqrt-square_binary64_773 |
| 2× | associate-*l/_binary64_703 |
| 1× | associate-*r*_binary64_700 *-commutative_binary64_691 |
4 calls:
| 18.0ms | (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) (*.f64 (*.f64 J -2) (cos.f64 (/.f64 K 2)))) |
| 9.0ms | (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) |
| 9.0ms | (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) |
| 9.0ms | (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) |
Compiled 6993 to 5666 computations (19% saved)
4 calls:
| 899.0ms | (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) (*.f64 (*.f64 J -2) (cos.f64 (/.f64 K 2)))) |
| 617.0ms | (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) |
| 614.0ms | (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) |
| 602.0ms | (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) |
Compiled 12673 to 10489 computations (17.2% saved)
| 1× | egg-herbie |
| 579× | times-frac_binary64_766 |
| 414× | associate-/l*_binary64_705 |
| 269× | associate-/r*_binary64_704 |
| 233× | associate-*l/_binary64_703 |
| 222× | associate-*r/_binary64_702 |
| 190× | associate-*r*_binary64_700 |
| 189× | associate-*l*_binary64_701 |
| 125× | *-commutative_binary64_691 |
| 93× | neg-mul-1_binary64_756 |
| 80× | associate-/r/_binary64_706 |
| 79× | cancel-sign-sub-inv_binary64_726 |
| 77× | cube-prod_binary64_788 |
| 74× | distribute-rgt-neg-in_binary64_718 |
| 71× | cube-div_binary64_789 |
| 63× | unswap-sqr_binary64_728 |
| 62× | distribute-rgt-in_binary64_710 |
| 61× | distribute-lft-in_binary64_709 |
| 59× | distribute-lft-neg-in_binary64_717 |
| 51× | distribute-neg-frac_binary64_724 associate-/l/_binary64_707 |
| 39× | sqr-pow_binary64_732 |
| 34× | exp-prod_binary64_812 |
| 33× | log-prod_binary64_846 |
| 32× | sub-neg_binary64_753 |
| 28× | neg-sub0_binary64_755 +-commutative_binary64_690 |
| 26× | swap-sqr_binary64_727 |
| 23× | unpow3_binary64_826 |
| 20× | div-sub_binary64_765 |
| 18× | cube-mult_binary64_790 |
| 16× | associate-+l-_binary64_695 |
| 13× | cube-unmult_binary64_797 associate-+r-_binary64_694 |
| 8× | associate--r+_binary64_696 associate-+r+_binary64_692 |
| 7× | rem-sqrt-square_binary64_773 distribute-lft-neg-out_binary64_719 associate-+l+_binary64_693 |
| 6× | distribute-neg-in_binary64_721 distribute-rgt-out--_binary64_714 |
| 5× | unpow2_binary64_825 unpow1/2_binary64_824 pow-plus_binary64_823 unpow1_binary64_818 unsub-neg_binary64_754 distribute-rgt1-in_binary64_716 |
| 4× | *-lft-identity_binary64_749 distribute-rgt-out_binary64_713 |
| 3× | pow-sqr_binary64_733 |
| 2× | log-pow_binary64_849 *-rgt-identity_binary64_750 difference-of-sqr-1_binary64_730 difference-of-squares_binary64_729 associate--l+_binary64_697 |
| 1× | 1-exp_binary64_804 rem-square-sqrt_binary64_772 mul-1-neg_binary64_752 +-rgt-identity_binary64_745 distribute-rgt-neg-out_binary64_720 distribute-lft1-in_binary64_715 distribute-lft-out--_binary64_712 |
| 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_1023 erf-erfc_binary64_1022 erf-odd_binary64_1021 if-if-and-not_binary64_1020 if-if-and_binary64_1019 if-if-or-not_binary64_1018 if-if-or_binary64_1017 if-not_binary64_1016 if-same_binary64_1015 if-false_binary64_1014 if-true_binary64_1013 not-gte_binary64_1012 not-lte_binary64_1011 not-gt_binary64_1010 not-lt_binary64_1009 gte-same_binary64_1008 lte-same_binary64_1007 gt-same_binary64_1006 lt-same_binary64_1005 sinh---cosh_binary64_952 sinh-+-cosh_binary64_951 sinh-cosh_binary64_950 tanh-def-c_binary64_949 tanh-def-b_binary64_948 tanh-def-a_binary64_947 cosh-def_binary64_946 sinh-def_binary64_945 tan-neg_binary64_892 cos-neg_binary64_891 sin-neg_binary64_890 tan-0_binary64_889 cos-0_binary64_888 sin-0_binary64_887 hang-m-tan_binary64_886 hang-p-tan_binary64_885 hang-m0-tan_binary64_884 hang-p0-tan_binary64_883 hang-0m-tan_binary64_882 hang-0p-tan_binary64_881 tan-+PI/2_binary64_880 tan-+PI_binary64_879 tan-PI_binary64_878 tan-PI/3_binary64_877 tan-PI/4_binary64_876 tan-PI/6_binary64_875 cos-+PI/2_binary64_874 cos-+PI_binary64_873 cos-PI_binary64_872 cos-PI/2_binary64_871 cos-PI/3_binary64_870 cos-PI/4_binary64_869 cos-PI/6_binary64_868 sin-+PI/2_binary64_867 sin-+PI_binary64_866 sin-PI_binary64_865 sin-PI/2_binary64_864 sin-PI/3_binary64_863 sin-PI/4_binary64_862 sin-PI/6_binary64_861 sub-1-sin_binary64_860 sub-1-cos_binary64_859 -1-add-sin_binary64_858 -1-add-cos_binary64_857 1-sub-sin_binary64_856 1-sub-cos_binary64_855 cos-sin-sum_binary64_854 log-E_binary64_850 log-rec_binary64_848 log-div_binary64_847 pow-base-0_binary64_844 unpow1/3_binary64_827 exp-to-pow_binary64_822 pow-base-1_binary64_820 unpow0_binary64_819 unpow-1_binary64_817 exp-lft-cube_binary64_816 exp-lft-sqr_binary64_815 exp-cbrt_binary64_814 exp-sqrt_binary64_813 div-exp_binary64_811 rec-exp_binary64_810 prod-exp_binary64_809 exp-diff_binary64_808 exp-neg_binary64_807 exp-sum_binary64_806 e-exp-1_binary64_805 exp-1-e_binary64_803 exp-0_binary64_802 rem-log-exp_binary64_801 rem-exp-log_binary64_800 cube-neg_binary64_787 rem-3cbrt-rft_binary64_786 rem-3cbrt-lft_binary64_785 rem-cbrt-cube_binary64_784 rem-cube-cbrt_binary64_783 sqr-abs_binary64_775 sqr-neg_binary64_774 /-rgt-identity_binary64_751 remove-double-neg_binary64_748 sub0-neg_binary64_747 --rgt-identity_binary64_746 +-lft-identity_binary64_744 mul0-rgt_binary64_743 mul0-lft_binary64_742 div0_binary64_741 *-inverses_binary64_740 +-inverses_binary64_739 lft-mult-inverse_binary64_738 rgt-mult-inverse_binary64_737 remove-double-div_binary64_736 difference-of-sqr--1_binary64_731 cancel-sign-sub_binary64_725 distribute-frac-neg_binary64_723 distribute-neg-out_binary64_722 distribute-lft-out_binary64_711 count-2_binary64_708 associate--r-_binary64_699 associate--l-_binary64_698 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 161 | 4153 |
| 1 | 424 | 3901 |
| 2 | 1459 | 3857 |
| 3 | 4703 | 3848 |
| 4 | 4950 | 3848 |
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 87 | 1 | 88 |
| Fresh | 1 | 5 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 88 | 9 | 97 |
Compiled 7590 to 5966 computations (21.4% saved)
Found 4 expressions with local error:
| 0.1b | (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2))) |
| 0.2b | (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2) |
| 3.8b | (*.f64 (*.f64 (*.f64 (*.f64 J -2) (sqrt.f64 (cos.f64 (/.f64 K 2)))) (sqrt.f64 (cos.f64 (/.f64 K 2)))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))) |
| 10.6b | (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) |
| 1× | rewrite-expression-head |
| 33× | add-exp-log_binary64_798 |
| 25× | pow1_binary64_821 |
| 23× | add-cbrt-cube_binary64_796 |
| 16× | prod-exp_binary64_809 |
| 15× | *-un-lft-identity_binary64_760 |
| 13× | pow-prod-down_binary64_831 cbrt-unprod_binary64_793 |
| 12× | add-sqr-sqrt_binary64_782 |
| 11× | add-cube-cbrt_binary64_795 |
| 10× | associate-*r*_binary64_700 |
| 8× | sqrt-prod_binary64_776 |
| 7× | unpow-prod-down_binary64_839 |
| 4× | add-log-exp_binary64_799 sqrt-div_binary64_777 pow-exp_binary64_828 |
| 3× | times-frac_binary64_766 pow-unpow_binary64_837 div-exp_binary64_811 |
| 2× | flip3-+_binary64_763 flip-+_binary64_734 distribute-lft-out_binary64_711 associate-*r/_binary64_702 associate-*l*_binary64_701 *-commutative_binary64_691 |
| 1× | pow1/2_binary64_840 sqrt-pow1_binary64_778 rem-sqrt-square_binary64_773 div-inv_binary64_757 pow-pow_binary64_832 pow-to-exp_binary64_829 unpow2_binary64_825 sqr-pow_binary64_732 |
4 calls:
| 22.0ms | (*.f64 (*.f64 (*.f64 (*.f64 J -2) (sqrt.f64 (cos.f64 (/.f64 K 2)))) (sqrt.f64 (cos.f64 (/.f64 K 2)))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))) |
| 9.0ms | (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) |
| 8.0ms | (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2) |
| 6.0ms | (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2))) |
Compiled 3986 to 3242 computations (18.7% saved)
4 calls:
| 836.0ms | (*.f64 (*.f64 (*.f64 (*.f64 J -2) (sqrt.f64 (cos.f64 (/.f64 K 2)))) (sqrt.f64 (cos.f64 (/.f64 K 2)))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))) |
| 560.0ms | (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) |
| 523.0ms | (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2) |
| 161.0ms | (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2))) |
Compiled 4313 to 3726 computations (13.6% saved)
| 1× | egg-herbie |
| 865× | times-frac_binary64_766 |
| 445× | associate-*l*_binary64_701 |
| 313× | associate-*r*_binary64_700 |
| 194× | *-commutative_binary64_691 |
| 177× | log-prod_binary64_846 |
| 163× | cancel-sign-sub-inv_binary64_726 |
| 162× | exp-prod_binary64_812 |
| 131× | unswap-sqr_binary64_728 |
| 107× | distribute-rgt-neg-in_binary64_718 |
| 100× | sqr-pow_binary64_732 |
| 89× | distribute-lft-neg-in_binary64_717 |
| 66× | associate-/r*_binary64_704 |
| 61× | sub-neg_binary64_753 |
| 57× | swap-sqr_binary64_727 |
| 55× | cube-prod_binary64_788 |
| 53× | associate-/l*_binary64_705 |
| 52× | distribute-neg-frac_binary64_724 |
| 48× | +-commutative_binary64_690 |
| 46× | associate-*r/_binary64_702 |
| 40× | neg-sub0_binary64_755 associate-*l/_binary64_703 |
| 39× | neg-mul-1_binary64_756 |
| 35× | unpow3_binary64_826 |
| 22× | *-lft-identity_binary64_749 associate-+l+_binary64_693 |
| 21× | log-div_binary64_847 distribute-neg-in_binary64_721 |
| 19× | *-rgt-identity_binary64_750 |
| 18× | unpow1/2_binary64_824 |
| 17× | distribute-rgt-in_binary64_710 distribute-lft-in_binary64_709 |
| 16× | log-pow_binary64_849 associate--r+_binary64_696 |
| 15× | unpow2_binary64_825 unpow1_binary64_818 |
| 14× | pow-plus_binary64_823 |
| 13× | cube-unmult_binary64_797 |
| 11× | unsub-neg_binary64_754 pow-sqr_binary64_733 associate-+r+_binary64_692 |
| 10× | distribute-lft-neg-out_binary64_719 |
| 9× | cube-div_binary64_789 |
| 8× | associate-/r/_binary64_706 associate--l+_binary64_697 |
| 6× | rem-sqrt-square_binary64_773 |
| 5× | cube-mult_binary64_790 |
| 4× | exp-lft-sqr_binary64_815 /-rgt-identity_binary64_751 distribute-rgt-out_binary64_713 |
| 3× | rem-square-sqrt_binary64_772 distribute-rgt-out--_binary64_714 |
| 2× | difference-of-sqr-1_binary64_730 difference-of-squares_binary64_729 distribute-rgt-neg-out_binary64_720 associate-+r-_binary64_694 |
| 1× | prod-exp_binary64_809 1-exp_binary64_804 exp-1-e_binary64_803 rem-3cbrt-rft_binary64_786 mul-1-neg_binary64_752 +-rgt-identity_binary64_745 distribute-rgt1-in_binary64_716 count-2_binary64_708 associate-/l/_binary64_707 associate-+l-_binary64_695 |
| 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_1023 erf-erfc_binary64_1022 erf-odd_binary64_1021 if-if-and-not_binary64_1020 if-if-and_binary64_1019 if-if-or-not_binary64_1018 if-if-or_binary64_1017 if-not_binary64_1016 if-same_binary64_1015 if-false_binary64_1014 if-true_binary64_1013 not-gte_binary64_1012 not-lte_binary64_1011 not-gt_binary64_1010 not-lt_binary64_1009 gte-same_binary64_1008 lte-same_binary64_1007 gt-same_binary64_1006 lt-same_binary64_1005 sinh---cosh_binary64_952 sinh-+-cosh_binary64_951 sinh-cosh_binary64_950 tanh-def-c_binary64_949 tanh-def-b_binary64_948 tanh-def-a_binary64_947 cosh-def_binary64_946 sinh-def_binary64_945 tan-neg_binary64_892 cos-neg_binary64_891 sin-neg_binary64_890 tan-0_binary64_889 cos-0_binary64_888 sin-0_binary64_887 hang-m-tan_binary64_886 hang-p-tan_binary64_885 hang-m0-tan_binary64_884 hang-p0-tan_binary64_883 hang-0m-tan_binary64_882 hang-0p-tan_binary64_881 tan-+PI/2_binary64_880 tan-+PI_binary64_879 tan-PI_binary64_878 tan-PI/3_binary64_877 tan-PI/4_binary64_876 tan-PI/6_binary64_875 cos-+PI/2_binary64_874 cos-+PI_binary64_873 cos-PI_binary64_872 cos-PI/2_binary64_871 cos-PI/3_binary64_870 cos-PI/4_binary64_869 cos-PI/6_binary64_868 sin-+PI/2_binary64_867 sin-+PI_binary64_866 sin-PI_binary64_865 sin-PI/2_binary64_864 sin-PI/3_binary64_863 sin-PI/4_binary64_862 sin-PI/6_binary64_861 sub-1-sin_binary64_860 sub-1-cos_binary64_859 -1-add-sin_binary64_858 -1-add-cos_binary64_857 1-sub-sin_binary64_856 1-sub-cos_binary64_855 cos-sin-sum_binary64_854 log-E_binary64_850 log-rec_binary64_848 pow-base-0_binary64_844 unpow1/3_binary64_827 exp-to-pow_binary64_822 pow-base-1_binary64_820 unpow0_binary64_819 unpow-1_binary64_817 exp-lft-cube_binary64_816 exp-cbrt_binary64_814 exp-sqrt_binary64_813 div-exp_binary64_811 rec-exp_binary64_810 exp-diff_binary64_808 exp-neg_binary64_807 exp-sum_binary64_806 e-exp-1_binary64_805 exp-0_binary64_802 rem-log-exp_binary64_801 rem-exp-log_binary64_800 cube-neg_binary64_787 rem-3cbrt-lft_binary64_785 rem-cbrt-cube_binary64_784 rem-cube-cbrt_binary64_783 sqr-abs_binary64_775 sqr-neg_binary64_774 div-sub_binary64_765 remove-double-neg_binary64_748 sub0-neg_binary64_747 --rgt-identity_binary64_746 +-lft-identity_binary64_744 mul0-rgt_binary64_743 mul0-lft_binary64_742 div0_binary64_741 *-inverses_binary64_740 +-inverses_binary64_739 lft-mult-inverse_binary64_738 rgt-mult-inverse_binary64_737 remove-double-div_binary64_736 difference-of-sqr--1_binary64_731 cancel-sign-sub_binary64_725 distribute-frac-neg_binary64_723 distribute-neg-out_binary64_722 distribute-lft1-in_binary64_715 distribute-lft-out--_binary64_712 distribute-lft-out_binary64_711 associate--r-_binary64_699 associate--l-_binary64_698 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 273 | 3918 |
| 1 | 700 | 3553 |
| 2 | 2501 | 3541 |
| 3 | 4679 | 3541 |
| 4 | 4951 | 3541 |
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 94 | 0 | 94 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 94 | 9 | 103 |
Compiled 3133 to 2379 computations (24.1% saved)
Total 9.4b remaining (99.8%)
Threshold costs 0b (0%)
Compiled 15463 to 13444 computations (13.1% saved)
Compiled 24 to 22 computations (8.3% saved)
| 1× | egg-herbie |
| 8× | *-commutative_binary64_691 |
| 2× | +-commutative_binary64_690 |
| 1× | if-if-or-not_binary64_1018 1-exp_binary64_804 |
| 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_1020 if-if-and_binary64_1019 if-if-or_binary64_1017 if-not_binary64_1016 if-same_binary64_1015 if-false_binary64_1014 if-true_binary64_1013 tan-0_binary64_889 cos-0_binary64_888 sin-0_binary64_887 unpow1_binary64_818 e-exp-1_binary64_805 exp-1-e_binary64_803 exp-0_binary64_802 sqr-abs_binary64_775 sqr-neg_binary64_774 neg-mul-1_binary64_756 neg-sub0_binary64_755 unsub-neg_binary64_754 sub-neg_binary64_753 mul-1-neg_binary64_752 /-rgt-identity_binary64_751 *-rgt-identity_binary64_750 *-lft-identity_binary64_749 remove-double-neg_binary64_748 sub0-neg_binary64_747 --rgt-identity_binary64_746 +-rgt-identity_binary64_745 +-lft-identity_binary64_744 cancel-sign-sub-inv_binary64_726 cancel-sign-sub_binary64_725 distribute-neg-frac_binary64_724 distribute-frac-neg_binary64_723 distribute-neg-out_binary64_722 distribute-neg-in_binary64_721 distribute-rgt-neg-out_binary64_720 distribute-lft-neg-out_binary64_719 distribute-rgt-neg-in_binary64_718 distribute-lft-neg-in_binary64_717 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 147 |
| 1 | 49 | 147 |
| 2 | 48 | 147 |
| 1× | intervals |
| 1.2s | 1998× | body | 1024 | valid |
| 535.0ms | 4486× | body | 128 | valid |
| 439.0ms | 1017× | body | 512 | valid |
| 133.0ms | 494× | body | 256 | valid |
| 4.0ms | 5× | body | 2048 | valid |
| 0.0ms | 1× | body | 256 | invalid |
| 0.0ms | 1× | body | 128 | invalid |
Compiled 2640 to 2291 computations (13.2% saved)
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