Details

Time bar (total: 1.3s)

analyze2.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
99.9%0%0.1%1
Compiler

Compiled 8 to 8 computations (0% saved)

sample13.0ms (1%)

Algorithm
intervals
Results
5.0ms256×body128valid
Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify764.0ms (59.5%)

Algorithm
egg-herbie
Rules
811×pow-plus_binary64_14804
549×exp-prod_binary64_14793
507×exp-sum_binary64_14787
484×sqr-pow_binary64_14713
387×pow-sqr_binary64_14714
367×distribute-rgt-in_binary64_14691
260×*-commutative_binary64_14672
225×distribute-rgt1-in_binary64_14697
197×distribute-lft-in_binary64_14690
177×distribute-rgt-out_binary64_14694
147×associate-*r*_binary64_14681
146×associate-*l*_binary64_14682
145×times-frac_binary64_14747
131×+-commutative_binary64_14671
129×pow-base-1_binary64_14801
120×associate-+l+_binary64_14674
112×associate-/l*_binary64_14686
98×distribute-lft-out_binary64_14692
81×swap-sqr_binary64_14708
58×associate-+r+_binary64_14673
42×associate-*l/_binary64_14684
36×associate-*r/_binary64_14683
30×associate-/r*_binary64_14685
27×count-2_binary64_14689
25×cube-unmult_binary64_14778
19×distribute-lft1-in_binary64_14696
18×associate-/l/_binary64_14688
17×*-lft-identity_binary64_14730
16×cube-prod_binary64_14769
15×*-rgt-identity_binary64_14731
14×unswap-sqr_binary64_14709
13×exp-lft-sqr_binary64_14796
associate-/r/_binary64_14687
/-rgt-identity_binary64_14732
cube-div_binary64_14770
prod-exp_binary64_14790
unpow3_binary64_14807
unpow1_binary64_14799 exp-sqrt_binary64_14794
rem-sqrt-square_binary64_14754
1-exp_binary64_14785 exp-1-e_binary64_14784 +-rgt-identity_binary64_14726 div0_binary64_14722 *-inverses_binary64_14721 rgt-mult-inverse_binary64_14718
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_15004 erf-erfc_binary64_15003 erf-odd_binary64_15002 if-if-and-not_binary64_15001 if-if-and_binary64_15000 if-if-or-not_binary64_14999 if-if-or_binary64_14998 if-not_binary64_14997 if-same_binary64_14996 if-false_binary64_14995 if-true_binary64_14994 not-gte_binary64_14993 not-lte_binary64_14992 not-gt_binary64_14991 not-lt_binary64_14990 gte-same_binary64_14989 lte-same_binary64_14988 gt-same_binary64_14987 lt-same_binary64_14986 sinh---cosh_binary64_14933 sinh-+-cosh_binary64_14932 sinh-cosh_binary64_14931 tanh-def-c_binary64_14930 tanh-def-b_binary64_14929 tanh-def-a_binary64_14928 cosh-def_binary64_14927 sinh-def_binary64_14926 tan-neg_binary64_14873 cos-neg_binary64_14872 sin-neg_binary64_14871 tan-0_binary64_14870 cos-0_binary64_14869 sin-0_binary64_14868 hang-m-tan_binary64_14867 hang-p-tan_binary64_14866 hang-m0-tan_binary64_14865 hang-p0-tan_binary64_14864 hang-0m-tan_binary64_14863 hang-0p-tan_binary64_14862 tan-+PI/2_binary64_14861 tan-+PI_binary64_14860 tan-PI_binary64_14859 tan-PI/3_binary64_14858 tan-PI/4_binary64_14857 tan-PI/6_binary64_14856 cos-+PI/2_binary64_14855 cos-+PI_binary64_14854 cos-PI_binary64_14853 cos-PI/2_binary64_14852 cos-PI/3_binary64_14851 cos-PI/4_binary64_14850 cos-PI/6_binary64_14849 sin-+PI/2_binary64_14848 sin-+PI_binary64_14847 sin-PI_binary64_14846 sin-PI/2_binary64_14845 sin-PI/3_binary64_14844 sin-PI/4_binary64_14843 sin-PI/6_binary64_14842 sub-1-sin_binary64_14841 sub-1-cos_binary64_14840 -1-add-sin_binary64_14839 -1-add-cos_binary64_14838 1-sub-sin_binary64_14837 1-sub-cos_binary64_14836 cos-sin-sum_binary64_14835 log-E_binary64_14831 log-pow_binary64_14830 log-rec_binary64_14829 log-div_binary64_14828 log-prod_binary64_14827 pow-base-0_binary64_14825 unpow1/3_binary64_14808 unpow2_binary64_14806 unpow1/2_binary64_14805 exp-to-pow_binary64_14803 unpow0_binary64_14800 unpow-1_binary64_14798 exp-lft-cube_binary64_14797 exp-cbrt_binary64_14795 div-exp_binary64_14792 rec-exp_binary64_14791 exp-diff_binary64_14789 exp-neg_binary64_14788 e-exp-1_binary64_14786 exp-0_binary64_14783 rem-log-exp_binary64_14782 rem-exp-log_binary64_14781 cube-mult_binary64_14771 cube-neg_binary64_14768 rem-3cbrt-rft_binary64_14767 rem-3cbrt-lft_binary64_14766 rem-cbrt-cube_binary64_14765 rem-cube-cbrt_binary64_14764 sqr-abs_binary64_14756 sqr-neg_binary64_14755 rem-square-sqrt_binary64_14753 div-sub_binary64_14746 neg-mul-1_binary64_14737 neg-sub0_binary64_14736 unsub-neg_binary64_14735 sub-neg_binary64_14734 mul-1-neg_binary64_14733 remove-double-neg_binary64_14729 sub0-neg_binary64_14728 --rgt-identity_binary64_14727 +-lft-identity_binary64_14725 mul0-rgt_binary64_14724 mul0-lft_binary64_14723 +-inverses_binary64_14720 lft-mult-inverse_binary64_14719 remove-double-div_binary64_14717 difference-of-sqr--1_binary64_14712 difference-of-sqr-1_binary64_14711 difference-of-squares_binary64_14710 cancel-sign-sub-inv_binary64_14707 cancel-sign-sub_binary64_14706 distribute-neg-frac_binary64_14705 distribute-frac-neg_binary64_14704 distribute-neg-out_binary64_14703 distribute-neg-in_binary64_14702 distribute-rgt-neg-out_binary64_14701 distribute-lft-neg-out_binary64_14700 distribute-rgt-neg-in_binary64_14699 distribute-lft-neg-in_binary64_14698 distribute-rgt-out--_binary64_14695 distribute-lft-out--_binary64_14693 associate--r-_binary64_14680 associate--l-_binary64_14679 associate--l+_binary64_14678 associate--r+_binary64_14677 associate-+l-_binary64_14676 associate-+r-_binary64_14675
Counts
1 → 1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0810
1207
2377
3507
4527
5547
6717
71537
89507
914277
1025177
1148867

prune4.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
0b
Counts
2 → 1
Compiler

Compiled 10 to 10 computations (0% saved)

localize4.0ms (0.3%)

rewrite0.0ms (0%)

Algorithm
rewrite-expression-head
Error
0b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error
0b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

simplify9.0ms (0.7%)

Algorithm
egg-herbie
Rules
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_15004 erf-erfc_binary64_15003 erf-odd_binary64_15002 if-if-and-not_binary64_15001 if-if-and_binary64_15000 if-if-or-not_binary64_14999 if-if-or_binary64_14998 if-not_binary64_14997 if-same_binary64_14996 if-false_binary64_14995 if-true_binary64_14994 not-gte_binary64_14993 not-lte_binary64_14992 not-gt_binary64_14991 not-lt_binary64_14990 gte-same_binary64_14989 lte-same_binary64_14988 gt-same_binary64_14987 lt-same_binary64_14986 sinh---cosh_binary64_14933 sinh-+-cosh_binary64_14932 sinh-cosh_binary64_14931 tanh-def-c_binary64_14930 tanh-def-b_binary64_14929 tanh-def-a_binary64_14928 cosh-def_binary64_14927 sinh-def_binary64_14926 tan-neg_binary64_14873 cos-neg_binary64_14872 sin-neg_binary64_14871 tan-0_binary64_14870 cos-0_binary64_14869 sin-0_binary64_14868 hang-m-tan_binary64_14867 hang-p-tan_binary64_14866 hang-m0-tan_binary64_14865 hang-p0-tan_binary64_14864 hang-0m-tan_binary64_14863 hang-0p-tan_binary64_14862 tan-+PI/2_binary64_14861 tan-+PI_binary64_14860 tan-PI_binary64_14859 tan-PI/3_binary64_14858 tan-PI/4_binary64_14857 tan-PI/6_binary64_14856 cos-+PI/2_binary64_14855 cos-+PI_binary64_14854 cos-PI_binary64_14853 cos-PI/2_binary64_14852 cos-PI/3_binary64_14851 cos-PI/4_binary64_14850 cos-PI/6_binary64_14849 sin-+PI/2_binary64_14848 sin-+PI_binary64_14847 sin-PI_binary64_14846 sin-PI/2_binary64_14845 sin-PI/3_binary64_14844 sin-PI/4_binary64_14843 sin-PI/6_binary64_14842 sub-1-sin_binary64_14841 sub-1-cos_binary64_14840 -1-add-sin_binary64_14839 -1-add-cos_binary64_14838 1-sub-sin_binary64_14837 1-sub-cos_binary64_14836 cos-sin-sum_binary64_14835 log-E_binary64_14831 log-pow_binary64_14830 log-rec_binary64_14829 log-div_binary64_14828 log-prod_binary64_14827 pow-base-0_binary64_14825 unpow1/3_binary64_14808 unpow3_binary64_14807 unpow2_binary64_14806 unpow1/2_binary64_14805 pow-plus_binary64_14804 exp-to-pow_binary64_14803 pow-base-1_binary64_14801 unpow0_binary64_14800 unpow1_binary64_14799 unpow-1_binary64_14798 exp-lft-cube_binary64_14797 exp-lft-sqr_binary64_14796 exp-cbrt_binary64_14795 exp-sqrt_binary64_14794 exp-prod_binary64_14793 div-exp_binary64_14792 rec-exp_binary64_14791 prod-exp_binary64_14790 exp-diff_binary64_14789 exp-neg_binary64_14788 exp-sum_binary64_14787 e-exp-1_binary64_14786 1-exp_binary64_14785 exp-1-e_binary64_14784 exp-0_binary64_14783 rem-log-exp_binary64_14782 rem-exp-log_binary64_14781 cube-unmult_binary64_14778 cube-mult_binary64_14771 cube-div_binary64_14770 cube-prod_binary64_14769 cube-neg_binary64_14768 rem-3cbrt-rft_binary64_14767 rem-3cbrt-lft_binary64_14766 rem-cbrt-cube_binary64_14765 rem-cube-cbrt_binary64_14764 sqr-abs_binary64_14756 sqr-neg_binary64_14755 rem-sqrt-square_binary64_14754 rem-square-sqrt_binary64_14753 times-frac_binary64_14747 div-sub_binary64_14746 neg-mul-1_binary64_14737 neg-sub0_binary64_14736 unsub-neg_binary64_14735 sub-neg_binary64_14734 mul-1-neg_binary64_14733 /-rgt-identity_binary64_14732 *-rgt-identity_binary64_14731 *-lft-identity_binary64_14730 remove-double-neg_binary64_14729 sub0-neg_binary64_14728 --rgt-identity_binary64_14727 +-rgt-identity_binary64_14726 +-lft-identity_binary64_14725 mul0-rgt_binary64_14724 mul0-lft_binary64_14723 div0_binary64_14722 *-inverses_binary64_14721 +-inverses_binary64_14720 lft-mult-inverse_binary64_14719 rgt-mult-inverse_binary64_14718 remove-double-div_binary64_14717 pow-sqr_binary64_14714 sqr-pow_binary64_14713 difference-of-sqr--1_binary64_14712 difference-of-sqr-1_binary64_14711 difference-of-squares_binary64_14710 unswap-sqr_binary64_14709 swap-sqr_binary64_14708 cancel-sign-sub-inv_binary64_14707 cancel-sign-sub_binary64_14706 distribute-neg-frac_binary64_14705 distribute-frac-neg_binary64_14704 distribute-neg-out_binary64_14703 distribute-neg-in_binary64_14702 distribute-rgt-neg-out_binary64_14701 distribute-lft-neg-out_binary64_14700 distribute-rgt-neg-in_binary64_14699 distribute-lft-neg-in_binary64_14698 distribute-rgt1-in_binary64_14697 distribute-lft1-in_binary64_14696 distribute-rgt-out--_binary64_14695 distribute-rgt-out_binary64_14694 distribute-lft-out--_binary64_14693 distribute-lft-out_binary64_14692 distribute-rgt-in_binary64_14691 distribute-lft-in_binary64_14690 count-2_binary64_14689 associate-/l/_binary64_14688 associate-/r/_binary64_14687 associate-/l*_binary64_14686 associate-/r*_binary64_14685 associate-*l/_binary64_14684 associate-*r/_binary64_14683 associate-*l*_binary64_14682 associate-*r*_binary64_14681 associate--r-_binary64_14680 associate--l-_binary64_14679 associate--l+_binary64_14678 associate--r+_binary64_14677 associate-+l-_binary64_14676 associate-+r-_binary64_14675 associate-+l+_binary64_14674 associate-+r+_binary64_14673 *-commutative_binary64_14672 +-commutative_binary64_14671
Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Error
0b
Counts
1 → 1
Compiler

Compiled 0 to 0 computations (0% saved)

regimes34.0ms (2.7%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Compiler

Compiled 72 to 76 computations (-5.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64_14671
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_15001 if-if-and_binary64_15000 if-if-or-not_binary64_14999 if-if-or_binary64_14998 if-not_binary64_14997 if-same_binary64_14996 if-false_binary64_14995 if-true_binary64_14994 tan-0_binary64_14870 cos-0_binary64_14869 sin-0_binary64_14868 unpow1_binary64_14799 e-exp-1_binary64_14786 1-exp_binary64_14785 exp-1-e_binary64_14784 exp-0_binary64_14783 sqr-abs_binary64_14756 sqr-neg_binary64_14755 neg-mul-1_binary64_14737 neg-sub0_binary64_14736 unsub-neg_binary64_14735 sub-neg_binary64_14734 mul-1-neg_binary64_14733 /-rgt-identity_binary64_14732 *-rgt-identity_binary64_14731 *-lft-identity_binary64_14730 remove-double-neg_binary64_14729 sub0-neg_binary64_14728 --rgt-identity_binary64_14727 +-rgt-identity_binary64_14726 +-lft-identity_binary64_14725 cancel-sign-sub-inv_binary64_14707 cancel-sign-sub_binary64_14706 distribute-neg-frac_binary64_14705 distribute-frac-neg_binary64_14704 distribute-neg-out_binary64_14703 distribute-neg-in_binary64_14702 distribute-rgt-neg-out_binary64_14701 distribute-lft-neg-out_binary64_14700 distribute-rgt-neg-in_binary64_14699 distribute-lft-neg-in_binary64_14698 *-commutative_binary64_14672
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
Proof
(/ f64 (+ f64 h0 h1) 2)

end0.0ms (0%)

sample450.0ms (35%)

Algorithm
intervals
Results
189.0ms8000×body128valid
Compiler

Compiled 30 to 32 computations (-6.7% saved)

Profiling

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