Details

Time bar (total: 1.3s)

analyze397.0ms (30.2%)

Algorithm
search
egg-herbie
Rules
4782×associate--r-_binary64_15703
922×unsub-neg_binary64_15758
668×distribute-rgt-in_binary64_15714
512×distribute-lft-in_binary64_15713
253×*-commutative_binary64_15695
208×+-commutative_binary64_15694
205×distribute-lft-neg-out_binary64_15723
195×distribute-rgt-neg-in_binary64_15722
193×neg-sub0_binary64_15759
188×distribute-neg-in_binary64_15725
187×neg-mul-1_binary64_15760
180×sub-neg_binary64_15757
177×distribute-rgt-neg-out_binary64_15724
113×cancel-sign-sub-inv_binary64_15730
98×distribute-lft-neg-in_binary64_15721
78×associate-*l*_binary64_15705
67×distribute-neg-out_binary64_15726
66×associate-*r*_binary64_15704
58×associate--r+_binary64_15700
48×associate--l+_binary64_15701
44×associate-+l+_binary64_15697
32×associate-+r+_binary64_15696
29×associate-+l-_binary64_15699
22×distribute-rgt-out--_binary64_15718 associate-+r-_binary64_15698
20×associate--l-_binary64_15702
18×cancel-sign-sub_binary64_15729
14×*-rgt-identity_binary64_15754
11×remove-double-neg_binary64_15752
10×distribute-rgt-out_binary64_15717
*-lft-identity_binary64_15753
sub0-neg_binary64_15751 distribute-lft-out--_binary64_15716
+-inverses_binary64_15743 distribute-rgt1-in_binary64_15720
--rgt-identity_binary64_15750 distribute-lft1-in_binary64_15719 distribute-lft-out_binary64_15715 count-2_binary64_15712
1-exp_binary64_15808 +-rgt-identity_binary64_15749
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_16027 erf-erfc_binary64_16026 erf-odd_binary64_16025 if-if-and-not_binary64_16024 if-if-and_binary64_16023 if-if-or-not_binary64_16022 if-if-or_binary64_16021 if-not_binary64_16020 if-same_binary64_16019 if-false_binary64_16018 if-true_binary64_16017 not-gte_binary64_16016 not-lte_binary64_16015 not-gt_binary64_16014 not-lt_binary64_16013 gte-same_binary64_16012 lte-same_binary64_16011 gt-same_binary64_16010 lt-same_binary64_16009 sinh---cosh_binary64_15956 sinh-+-cosh_binary64_15955 sinh-cosh_binary64_15954 tanh-def-c_binary64_15953 tanh-def-b_binary64_15952 tanh-def-a_binary64_15951 cosh-def_binary64_15950 sinh-def_binary64_15949 tan-neg_binary64_15896 cos-neg_binary64_15895 sin-neg_binary64_15894 tan-0_binary64_15893 cos-0_binary64_15892 sin-0_binary64_15891 hang-m-tan_binary64_15890 hang-p-tan_binary64_15889 hang-m0-tan_binary64_15888 hang-p0-tan_binary64_15887 hang-0m-tan_binary64_15886 hang-0p-tan_binary64_15885 tan-+PI/2_binary64_15884 tan-+PI_binary64_15883 tan-PI_binary64_15882 tan-PI/3_binary64_15881 tan-PI/4_binary64_15880 tan-PI/6_binary64_15879 cos-+PI/2_binary64_15878 cos-+PI_binary64_15877 cos-PI_binary64_15876 cos-PI/2_binary64_15875 cos-PI/3_binary64_15874 cos-PI/4_binary64_15873 cos-PI/6_binary64_15872 sin-+PI/2_binary64_15871 sin-+PI_binary64_15870 sin-PI_binary64_15869 sin-PI/2_binary64_15868 sin-PI/3_binary64_15867 sin-PI/4_binary64_15866 sin-PI/6_binary64_15865 sub-1-sin_binary64_15864 sub-1-cos_binary64_15863 -1-add-sin_binary64_15862 -1-add-cos_binary64_15861 1-sub-sin_binary64_15860 1-sub-cos_binary64_15859 cos-sin-sum_binary64_15858 log-E_binary64_15854 log-pow_binary64_15853 log-rec_binary64_15852 log-div_binary64_15851 log-prod_binary64_15850 pow-base-0_binary64_15848 unpow1/3_binary64_15831 unpow3_binary64_15830 unpow2_binary64_15829 unpow1/2_binary64_15828 pow-plus_binary64_15827 exp-to-pow_binary64_15826 pow-base-1_binary64_15824 unpow0_binary64_15823 unpow1_binary64_15822 unpow-1_binary64_15821 exp-lft-cube_binary64_15820 exp-lft-sqr_binary64_15819 exp-cbrt_binary64_15818 exp-sqrt_binary64_15817 exp-prod_binary64_15816 div-exp_binary64_15815 rec-exp_binary64_15814 prod-exp_binary64_15813 exp-diff_binary64_15812 exp-neg_binary64_15811 exp-sum_binary64_15810 e-exp-1_binary64_15809 exp-1-e_binary64_15807 exp-0_binary64_15806 rem-log-exp_binary64_15805 rem-exp-log_binary64_15804 cube-unmult_binary64_15801 cube-mult_binary64_15794 cube-div_binary64_15793 cube-prod_binary64_15792 cube-neg_binary64_15791 rem-3cbrt-rft_binary64_15790 rem-3cbrt-lft_binary64_15789 rem-cbrt-cube_binary64_15788 rem-cube-cbrt_binary64_15787 sqr-abs_binary64_15779 sqr-neg_binary64_15778 rem-sqrt-square_binary64_15777 rem-square-sqrt_binary64_15776 times-frac_binary64_15770 div-sub_binary64_15769 mul-1-neg_binary64_15756 /-rgt-identity_binary64_15755 +-lft-identity_binary64_15748 mul0-rgt_binary64_15747 mul0-lft_binary64_15746 div0_binary64_15745 *-inverses_binary64_15744 lft-mult-inverse_binary64_15742 rgt-mult-inverse_binary64_15741 remove-double-div_binary64_15740 pow-sqr_binary64_15737 sqr-pow_binary64_15736 difference-of-sqr--1_binary64_15735 difference-of-sqr-1_binary64_15734 difference-of-squares_binary64_15733 unswap-sqr_binary64_15732 swap-sqr_binary64_15731 distribute-neg-frac_binary64_15728 distribute-frac-neg_binary64_15727 associate-/l/_binary64_15711 associate-/r/_binary64_15710 associate-/l*_binary64_15709 associate-/r*_binary64_15708 associate-*l/_binary64_15707 associate-*r/_binary64_15706
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0714
11514
2358
3602
4852
54092
67392
79122
811392
911992
1012212
1112212
1225152
1324232
1423832
1525992
1626712
1726712
1827432
1927432
2027432
2125272
2225632
2377422
022
122
Search
TrueOtherFalseIter
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
37.5%62.4%0.1%5
43.7%56.2%0.1%6
65.6%34.3%0.1%7
70.2%29.7%0.1%8
82%18%0.1%9
87.4%12.5%0.1%10
93.5%6.4%0.1%11
93.7%6.2%0.1%12
96.8%3.1%0.1%13
96.8%3.1%0.1%14
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample22.0ms (1.7%)

Algorithm
intervals
Results
3.0ms39×body2048valid
2.0ms142×body128valid
2.0ms35×body1024valid
1.0ms26×body512valid
0.0ms14×body256valid
Compiler

Compiled 11 to 11 computations (0% saved)

simplify324.0ms (24.6%)

Algorithm
egg-herbie
Rules
2773×distribute-rgt-in_binary64_15714
1632×distribute-neg-in_binary64_15725
1331×unsub-neg_binary64_15758
895×distribute-lft-in_binary64_15713
364×*-commutative_binary64_15695
291×sub-neg_binary64_15757
285×distribute-lft-neg-out_binary64_15723
271×distribute-rgt-neg-in_binary64_15722
263×neg-sub0_binary64_15759
262×distribute-rgt-neg-out_binary64_15724
253×neg-mul-1_binary64_15760
194×associate--r-_binary64_15703
191×+-commutative_binary64_15694
152×cancel-sign-sub-inv_binary64_15730
129×distribute-lft-neg-in_binary64_15721 associate-+r-_binary64_15698
122×associate-*l*_binary64_15705
84×associate-*r*_binary64_15704
79×distribute-neg-out_binary64_15726
70×associate--l+_binary64_15701
62×associate--r+_binary64_15700
49×associate-+l-_binary64_15699
44×associate--l-_binary64_15702
40×associate-+l+_binary64_15697
29×associate-+r+_binary64_15696
23×*-rgt-identity_binary64_15754
19×distribute-rgt-out--_binary64_15718
17×distribute-rgt-out_binary64_15717
16×*-lft-identity_binary64_15753
13×remove-double-neg_binary64_15752
12×sub0-neg_binary64_15751 distribute-lft-out--_binary64_15716
distribute-lft-out_binary64_15715
cancel-sign-sub_binary64_15729 distribute-rgt1-in_binary64_15720 distribute-lft1-in_binary64_15719
mul-1-neg_binary64_15756 +-rgt-identity_binary64_15749 +-lft-identity_binary64_15748 +-inverses_binary64_15743
1-exp_binary64_15808 --rgt-identity_binary64_15750 count-2_binary64_15712
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_16027 erf-erfc_binary64_16026 erf-odd_binary64_16025 if-if-and-not_binary64_16024 if-if-and_binary64_16023 if-if-or-not_binary64_16022 if-if-or_binary64_16021 if-not_binary64_16020 if-same_binary64_16019 if-false_binary64_16018 if-true_binary64_16017 not-gte_binary64_16016 not-lte_binary64_16015 not-gt_binary64_16014 not-lt_binary64_16013 gte-same_binary64_16012 lte-same_binary64_16011 gt-same_binary64_16010 lt-same_binary64_16009 sinh---cosh_binary64_15956 sinh-+-cosh_binary64_15955 sinh-cosh_binary64_15954 tanh-def-c_binary64_15953 tanh-def-b_binary64_15952 tanh-def-a_binary64_15951 cosh-def_binary64_15950 sinh-def_binary64_15949 tan-neg_binary64_15896 cos-neg_binary64_15895 sin-neg_binary64_15894 tan-0_binary64_15893 cos-0_binary64_15892 sin-0_binary64_15891 hang-m-tan_binary64_15890 hang-p-tan_binary64_15889 hang-m0-tan_binary64_15888 hang-p0-tan_binary64_15887 hang-0m-tan_binary64_15886 hang-0p-tan_binary64_15885 tan-+PI/2_binary64_15884 tan-+PI_binary64_15883 tan-PI_binary64_15882 tan-PI/3_binary64_15881 tan-PI/4_binary64_15880 tan-PI/6_binary64_15879 cos-+PI/2_binary64_15878 cos-+PI_binary64_15877 cos-PI_binary64_15876 cos-PI/2_binary64_15875 cos-PI/3_binary64_15874 cos-PI/4_binary64_15873 cos-PI/6_binary64_15872 sin-+PI/2_binary64_15871 sin-+PI_binary64_15870 sin-PI_binary64_15869 sin-PI/2_binary64_15868 sin-PI/3_binary64_15867 sin-PI/4_binary64_15866 sin-PI/6_binary64_15865 sub-1-sin_binary64_15864 sub-1-cos_binary64_15863 -1-add-sin_binary64_15862 -1-add-cos_binary64_15861 1-sub-sin_binary64_15860 1-sub-cos_binary64_15859 cos-sin-sum_binary64_15858 log-E_binary64_15854 log-pow_binary64_15853 log-rec_binary64_15852 log-div_binary64_15851 log-prod_binary64_15850 pow-base-0_binary64_15848 unpow1/3_binary64_15831 unpow3_binary64_15830 unpow2_binary64_15829 unpow1/2_binary64_15828 pow-plus_binary64_15827 exp-to-pow_binary64_15826 pow-base-1_binary64_15824 unpow0_binary64_15823 unpow1_binary64_15822 unpow-1_binary64_15821 exp-lft-cube_binary64_15820 exp-lft-sqr_binary64_15819 exp-cbrt_binary64_15818 exp-sqrt_binary64_15817 exp-prod_binary64_15816 div-exp_binary64_15815 rec-exp_binary64_15814 prod-exp_binary64_15813 exp-diff_binary64_15812 exp-neg_binary64_15811 exp-sum_binary64_15810 e-exp-1_binary64_15809 exp-1-e_binary64_15807 exp-0_binary64_15806 rem-log-exp_binary64_15805 rem-exp-log_binary64_15804 cube-unmult_binary64_15801 cube-mult_binary64_15794 cube-div_binary64_15793 cube-prod_binary64_15792 cube-neg_binary64_15791 rem-3cbrt-rft_binary64_15790 rem-3cbrt-lft_binary64_15789 rem-cbrt-cube_binary64_15788 rem-cube-cbrt_binary64_15787 sqr-abs_binary64_15779 sqr-neg_binary64_15778 rem-sqrt-square_binary64_15777 rem-square-sqrt_binary64_15776 times-frac_binary64_15770 div-sub_binary64_15769 /-rgt-identity_binary64_15755 mul0-rgt_binary64_15747 mul0-lft_binary64_15746 div0_binary64_15745 *-inverses_binary64_15744 lft-mult-inverse_binary64_15742 rgt-mult-inverse_binary64_15741 remove-double-div_binary64_15740 pow-sqr_binary64_15737 sqr-pow_binary64_15736 difference-of-sqr--1_binary64_15735 difference-of-sqr-1_binary64_15734 difference-of-squares_binary64_15733 unswap-sqr_binary64_15732 swap-sqr_binary64_15731 distribute-neg-frac_binary64_15728 distribute-frac-neg_binary64_15727 associate-/l/_binary64_15711 associate-/r/_binary64_15710 associate-/l*_binary64_15709 associate-/r*_binary64_15708 associate-*l/_binary64_15707 associate-*r/_binary64_15706
Counts
1 → 1
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
057
1107
2214
3361
4561
51581
64341
77501
810271
912241
1014341
1114821
1214951
1314951
1421811
1521651
1621291
1722611
1823491
1923491
2024291
2124291
2234911
2333891
2433151
2535131
2635131
2735791
2835791
2936451
3036451
3136451
3236451
3344011
3450241

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Compiled 2 to 4 computations (-100% saved)

localize1.0ms (0%)

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)

simplify8.0ms (0.6%)

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_16027 erf-erfc_binary64_16026 erf-odd_binary64_16025 if-if-and-not_binary64_16024 if-if-and_binary64_16023 if-if-or-not_binary64_16022 if-if-or_binary64_16021 if-not_binary64_16020 if-same_binary64_16019 if-false_binary64_16018 if-true_binary64_16017 not-gte_binary64_16016 not-lte_binary64_16015 not-gt_binary64_16014 not-lt_binary64_16013 gte-same_binary64_16012 lte-same_binary64_16011 gt-same_binary64_16010 lt-same_binary64_16009 sinh---cosh_binary64_15956 sinh-+-cosh_binary64_15955 sinh-cosh_binary64_15954 tanh-def-c_binary64_15953 tanh-def-b_binary64_15952 tanh-def-a_binary64_15951 cosh-def_binary64_15950 sinh-def_binary64_15949 tan-neg_binary64_15896 cos-neg_binary64_15895 sin-neg_binary64_15894 tan-0_binary64_15893 cos-0_binary64_15892 sin-0_binary64_15891 hang-m-tan_binary64_15890 hang-p-tan_binary64_15889 hang-m0-tan_binary64_15888 hang-p0-tan_binary64_15887 hang-0m-tan_binary64_15886 hang-0p-tan_binary64_15885 tan-+PI/2_binary64_15884 tan-+PI_binary64_15883 tan-PI_binary64_15882 tan-PI/3_binary64_15881 tan-PI/4_binary64_15880 tan-PI/6_binary64_15879 cos-+PI/2_binary64_15878 cos-+PI_binary64_15877 cos-PI_binary64_15876 cos-PI/2_binary64_15875 cos-PI/3_binary64_15874 cos-PI/4_binary64_15873 cos-PI/6_binary64_15872 sin-+PI/2_binary64_15871 sin-+PI_binary64_15870 sin-PI_binary64_15869 sin-PI/2_binary64_15868 sin-PI/3_binary64_15867 sin-PI/4_binary64_15866 sin-PI/6_binary64_15865 sub-1-sin_binary64_15864 sub-1-cos_binary64_15863 -1-add-sin_binary64_15862 -1-add-cos_binary64_15861 1-sub-sin_binary64_15860 1-sub-cos_binary64_15859 cos-sin-sum_binary64_15858 log-E_binary64_15854 log-pow_binary64_15853 log-rec_binary64_15852 log-div_binary64_15851 log-prod_binary64_15850 pow-base-0_binary64_15848 unpow1/3_binary64_15831 unpow3_binary64_15830 unpow2_binary64_15829 unpow1/2_binary64_15828 pow-plus_binary64_15827 exp-to-pow_binary64_15826 pow-base-1_binary64_15824 unpow0_binary64_15823 unpow1_binary64_15822 unpow-1_binary64_15821 exp-lft-cube_binary64_15820 exp-lft-sqr_binary64_15819 exp-cbrt_binary64_15818 exp-sqrt_binary64_15817 exp-prod_binary64_15816 div-exp_binary64_15815 rec-exp_binary64_15814 prod-exp_binary64_15813 exp-diff_binary64_15812 exp-neg_binary64_15811 exp-sum_binary64_15810 e-exp-1_binary64_15809 1-exp_binary64_15808 exp-1-e_binary64_15807 exp-0_binary64_15806 rem-log-exp_binary64_15805 rem-exp-log_binary64_15804 cube-unmult_binary64_15801 cube-mult_binary64_15794 cube-div_binary64_15793 cube-prod_binary64_15792 cube-neg_binary64_15791 rem-3cbrt-rft_binary64_15790 rem-3cbrt-lft_binary64_15789 rem-cbrt-cube_binary64_15788 rem-cube-cbrt_binary64_15787 sqr-abs_binary64_15779 sqr-neg_binary64_15778 rem-sqrt-square_binary64_15777 rem-square-sqrt_binary64_15776 times-frac_binary64_15770 div-sub_binary64_15769 neg-mul-1_binary64_15760 neg-sub0_binary64_15759 unsub-neg_binary64_15758 sub-neg_binary64_15757 mul-1-neg_binary64_15756 /-rgt-identity_binary64_15755 *-rgt-identity_binary64_15754 *-lft-identity_binary64_15753 remove-double-neg_binary64_15752 sub0-neg_binary64_15751 --rgt-identity_binary64_15750 +-rgt-identity_binary64_15749 +-lft-identity_binary64_15748 mul0-rgt_binary64_15747 mul0-lft_binary64_15746 div0_binary64_15745 *-inverses_binary64_15744 +-inverses_binary64_15743 lft-mult-inverse_binary64_15742 rgt-mult-inverse_binary64_15741 remove-double-div_binary64_15740 pow-sqr_binary64_15737 sqr-pow_binary64_15736 difference-of-sqr--1_binary64_15735 difference-of-sqr-1_binary64_15734 difference-of-squares_binary64_15733 unswap-sqr_binary64_15732 swap-sqr_binary64_15731 cancel-sign-sub-inv_binary64_15730 cancel-sign-sub_binary64_15729 distribute-neg-frac_binary64_15728 distribute-frac-neg_binary64_15727 distribute-neg-out_binary64_15726 distribute-neg-in_binary64_15725 distribute-rgt-neg-out_binary64_15724 distribute-lft-neg-out_binary64_15723 distribute-rgt-neg-in_binary64_15722 distribute-lft-neg-in_binary64_15721 distribute-rgt1-in_binary64_15720 distribute-lft1-in_binary64_15719 distribute-rgt-out--_binary64_15718 distribute-rgt-out_binary64_15717 distribute-lft-out--_binary64_15716 distribute-lft-out_binary64_15715 distribute-rgt-in_binary64_15714 distribute-lft-in_binary64_15713 count-2_binary64_15712 associate-/l/_binary64_15711 associate-/r/_binary64_15710 associate-/l*_binary64_15709 associate-/r*_binary64_15708 associate-*l/_binary64_15707 associate-*r/_binary64_15706 associate-*l*_binary64_15705 associate-*r*_binary64_15704 associate--r-_binary64_15703 associate--l-_binary64_15702 associate--l+_binary64_15701 associate--r+_binary64_15700 associate-+l-_binary64_15699 associate-+r-_binary64_15698 associate-+l+_binary64_15697 associate-+r+_binary64_15696 *-commutative_binary64_15695 +-commutative_binary64_15694
Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
100

prune0.0ms (0%)

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)

regimes22.0ms (1.7%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Compiler

Compiled 32 to 34 computations (-6.3% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.5%)

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 if-if-and-not_binary64_16024 if-if-and_binary64_16023 if-if-or-not_binary64_16022 if-if-or_binary64_16021 if-not_binary64_16020 if-same_binary64_16019 if-false_binary64_16018 if-true_binary64_16017 tan-0_binary64_15893 cos-0_binary64_15892 sin-0_binary64_15891 unpow1_binary64_15822 e-exp-1_binary64_15809 1-exp_binary64_15808 exp-1-e_binary64_15807 exp-0_binary64_15806 sqr-abs_binary64_15779 sqr-neg_binary64_15778 neg-mul-1_binary64_15760 neg-sub0_binary64_15759 unsub-neg_binary64_15758 sub-neg_binary64_15757 mul-1-neg_binary64_15756 /-rgt-identity_binary64_15755 *-rgt-identity_binary64_15754 *-lft-identity_binary64_15753 remove-double-neg_binary64_15752 sub0-neg_binary64_15751 --rgt-identity_binary64_15750 +-rgt-identity_binary64_15749 +-lft-identity_binary64_15748 cancel-sign-sub-inv_binary64_15730 cancel-sign-sub_binary64_15729 distribute-neg-frac_binary64_15728 distribute-frac-neg_binary64_15727 distribute-neg-out_binary64_15726 distribute-neg-in_binary64_15725 distribute-rgt-neg-out_binary64_15724 distribute-lft-neg-out_binary64_15723 distribute-rgt-neg-in_binary64_15722 distribute-lft-neg-in_binary64_15721 *-commutative_binary64_15695 +-commutative_binary64_15694
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
111

end0.0ms (0%)

sample531.0ms (40.4%)

Algorithm
intervals
Results
74.0ms4268×body128valid
74.0ms1112×body2048valid
71.0ms1344×body1024valid
31.0ms808×body512valid
17.0ms467×body256valid
0.0msbody4096valid
Compiler

Compiled 16 to 19 computations (-18.8% saved)

Profiling

Loading profile data...