Details

Time bar (total: 15.1s)

analyze86.0ms (0.6%)

Algorithm
search
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
50%50%0.1%5
50%50%0.1%6
62.4%34.3%3.2%7
62.4%32.8%4.8%8
68.7%21.1%10.2%9
68.7%19.1%12.2%10
71.8%11.5%16.7%11
71.8%10.2%18%12
73.4%6%20.6%13
73.4%5.3%21.3%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample16.0ms (0.1%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0ms17×body128invalid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify1.2s (7.7%)

Algorithm
egg-herbie
Rules
1335×exp-prod_binary64_15816
604×cube-prod_binary64_15792
551×distribute-rgt-out--_binary64_15718
523×distribute-rgt-out_binary64_15717
467×swap-sqr_binary64_15731
373×exp-diff_binary64_15812
340×distribute-rgt-neg-in_binary64_15722
264×sub-neg_binary64_15757
261×div-sub_binary64_15769
255×exp-sum_binary64_15810
182×*-commutative_binary64_15695
180×associate-/r/_binary64_15710
179×associate--r-_binary64_15703
176×cancel-sign-sub-inv_binary64_15730
172×unsub-neg_binary64_15758
136×associate--l-_binary64_15702
131×pow-plus_binary64_15827
122×associate-/l*_binary64_15709
120×associate-+r-_binary64_15698
91×associate-+l-_binary64_15699
74×+-commutative_binary64_15694
73×times-frac_binary64_15770
63×distribute-lft-neg-in_binary64_15721 distribute-rgt1-in_binary64_15720
60×cube-div_binary64_15793
49×distribute-neg-out_binary64_15726
41×neg-mul-1_binary64_15760
39×neg-sub0_binary64_15759
37×sqr-pow_binary64_15736 distribute-rgt-in_binary64_15714
28×distribute-neg-frac_binary64_15728
23×distribute-neg-in_binary64_15725
19×associate-*r*_binary64_15704
17×associate--r+_binary64_15700
16×distribute-rgt-neg-out_binary64_15724 distribute-lft-in_binary64_15713 associate-+l+_binary64_15697
15×+-inverses_binary64_15743 difference-of-squares_binary64_15733
14×pow-base-1_binary64_15824 associate-+r+_binary64_15696
13×cube-unmult_binary64_15801 count-2_binary64_15712
12×distribute-lft-neg-out_binary64_15723
11×remove-double-neg_binary64_15752 distribute-lft1-in_binary64_15719
10×exp-lft-sqr_binary64_15819 pow-sqr_binary64_15737 associate--l+_binary64_15701
distribute-frac-neg_binary64_15727
associate-/r*_binary64_15708
*-rgt-identity_binary64_15754 *-lft-identity_binary64_15753
sub0-neg_binary64_15751 +-rgt-identity_binary64_15749 associate-*l*_binary64_15705
exp-neg_binary64_15811 +-lft-identity_binary64_15748 associate-*l/_binary64_15707
--rgt-identity_binary64_15750 difference-of-sqr--1_binary64_15735 distribute-lft-out--_binary64_15716 distribute-lft-out_binary64_15715
sqr-neg_binary64_15778 mul0-lft_binary64_15746 div0_binary64_15745
unpow3_binary64_15830 1-exp_binary64_15808 exp-1-e_binary64_15807 cube-neg_binary64_15791 associate-/l/_binary64_15711
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 unpow2_binary64_15829 unpow1/2_binary64_15828 exp-to-pow_binary64_15826 unpow0_binary64_15823 unpow1_binary64_15822 unpow-1_binary64_15821 exp-lft-cube_binary64_15820 exp-cbrt_binary64_15818 exp-sqrt_binary64_15817 div-exp_binary64_15815 rec-exp_binary64_15814 prod-exp_binary64_15813 e-exp-1_binary64_15809 exp-0_binary64_15806 rem-log-exp_binary64_15805 rem-exp-log_binary64_15804 cube-mult_binary64_15794 rem-3cbrt-rft_binary64_15790 rem-3cbrt-lft_binary64_15789 rem-cbrt-cube_binary64_15788 rem-cube-cbrt_binary64_15787 sqr-abs_binary64_15779 rem-sqrt-square_binary64_15777 rem-square-sqrt_binary64_15776 mul-1-neg_binary64_15756 /-rgt-identity_binary64_15755 mul0-rgt_binary64_15747 *-inverses_binary64_15744 lft-mult-inverse_binary64_15742 rgt-mult-inverse_binary64_15741 remove-double-div_binary64_15740 difference-of-sqr-1_binary64_15734 unswap-sqr_binary64_15732 cancel-sign-sub_binary64_15729 associate-*r/_binary64_15706
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11110
21610
32210
43010
54910
610410
724310
8205310
9319110

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
3.5b
Counts
1 → 1
Compiler

Compiled 7 to 6 computations (14.3% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

10.0b
(/.f64 x (*.f64 y y))

rewrite32.0ms (0.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-exp-log_binary64_15802 add-cbrt-cube_binary64_15800
add-cube-cbrt_binary64_15799 add-sqr-sqrt_binary64_15786 times-frac_binary64_15770 *-un-lft-identity_binary64_15764 associate-/l*_binary64_15709
div-exp_binary64_15815 cbrt-undiv_binary64_15798
pow1_binary64_15825 prod-exp_binary64_15813 add-log-exp_binary64_15803 cbrt-unprod_binary64_15797 frac-2neg_binary64_15775 clear-num_binary64_15763 div-inv_binary64_15761 associate-/r*_binary64_15708
Counts
1 → 21
Calls

1 calls:

5.0ms
(/.f64 x (*.f64 y y))
Compiler

Compiled 256 to 108 computations (57.8% saved)

series112.0ms (0.7%)

Error
3.5b
Counts
1 → 6
Calls

1 calls:

108.0ms
(/.f64 x (*.f64 y y))
Compiler

Compiled 126 to 116 computations (7.9% saved)

simplify140.0ms (0.9%)

Algorithm
egg-herbie
Rules
770×times-frac_binary64_15770
560×unswap-sqr_binary64_15732
330×associate-/l*_binary64_15709
303×associate-/l/_binary64_15711
297×associate-/r*_binary64_15708
264×distribute-rgt-in_binary64_15714
205×distribute-lft-in_binary64_15713
187×cancel-sign-sub-inv_binary64_15730
166×associate-*l*_binary64_15705
140×associate-*l/_binary64_15707
111×sqr-pow_binary64_15736
106×distribute-rgt-out_binary64_15717
101×associate-/r/_binary64_15710
99×associate-*r*_binary64_15704
90×sub-neg_binary64_15757
81×associate-*r/_binary64_15706
80×div-sub_binary64_15769
69×pow-sqr_binary64_15737
67×distribute-rgt-neg-in_binary64_15722
64×distribute-lft-neg-in_binary64_15721
54×distribute-rgt-out--_binary64_15718
46×distribute-neg-in_binary64_15725
42×pow-plus_binary64_15827
40×log-prod_binary64_15850
38×associate--r-_binary64_15703
35×neg-mul-1_binary64_15760 unsub-neg_binary64_15758
34×neg-sub0_binary64_15759
33×cube-prod_binary64_15792 distribute-lft-out_binary64_15715
24×associate-+l+_binary64_15697 *-commutative_binary64_15695
23×swap-sqr_binary64_15731 associate--r+_binary64_15700
20×cube-div_binary64_15793 distribute-neg-frac_binary64_15728 distribute-rgt1-in_binary64_15720
19×log-div_binary64_15851 distribute-rgt-neg-out_binary64_15724 distribute-lft-neg-out_binary64_15723
18×unpow3_binary64_15830 *-rgt-identity_binary64_15754 *-lft-identity_binary64_15753 associate--l+_binary64_15701
16×log-pow_binary64_15853 cube-unmult_binary64_15801 associate-+l-_binary64_15699
14×count-2_binary64_15712
13×distribute-lft-out--_binary64_15716 associate-+r+_binary64_15696 +-commutative_binary64_15694
10×exp-prod_binary64_15816
div-exp_binary64_15815
prod-exp_binary64_15813 cube-mult_binary64_15794 sub0-neg_binary64_15751
--rgt-identity_binary64_15750 mul0-rgt_binary64_15747
+-rgt-identity_binary64_15749 mul0-lft_binary64_15746 associate-+r-_binary64_15698
/-rgt-identity_binary64_15755 associate--l-_binary64_15702
remove-double-neg_binary64_15752 distribute-neg-out_binary64_15726
rec-exp_binary64_15814 distribute-lft1-in_binary64_15719
unpow2_binary64_15829 unpow1_binary64_15822 exp-lft-sqr_binary64_15819 exp-sqrt_binary64_15817 exp-sum_binary64_15810 1-exp_binary64_15808 sqr-neg_binary64_15778 +-lft-identity_binary64_15748 *-inverses_binary64_15744 rgt-mult-inverse_binary64_15741
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-rec_binary64_15852 pow-base-0_binary64_15848 unpow1/3_binary64_15831 unpow1/2_binary64_15828 exp-to-pow_binary64_15826 pow-base-1_binary64_15824 unpow0_binary64_15823 unpow-1_binary64_15821 exp-lft-cube_binary64_15820 exp-cbrt_binary64_15818 exp-diff_binary64_15812 exp-neg_binary64_15811 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-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 rem-sqrt-square_binary64_15777 rem-square-sqrt_binary64_15776 mul-1-neg_binary64_15756 div0_binary64_15745 +-inverses_binary64_15743 lft-mult-inverse_binary64_15742 remove-double-div_binary64_15740 difference-of-sqr--1_binary64_15735 difference-of-sqr-1_binary64_15734 difference-of-squares_binary64_15733 cancel-sign-sub_binary64_15729 distribute-frac-neg_binary64_15727
Counts
27 → 30
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044289
193244
2261244
3559244
42290244
53765244

prune31.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New26430
Fresh000
Picked011
Done000
Total26531
Error
0.0b
Counts
31 → 5
Compiler

Compiled 373 to 157 computations (57.9% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

0.2b
(/.f64 y (/.f64 x y))
0.5b
(/.f64 1 (/.f64 y (/.f64 x y)))

rewrite407.0ms (2.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
471×times-frac_binary64_15770
229×add-cube-cbrt_binary64_15799 add-sqr-sqrt_binary64_15786 *-un-lft-identity_binary64_15764
57×associate-/r*_binary64_15708
28×add-exp-log_binary64_15802
22×div-inv_binary64_15761
18×div-exp_binary64_15815
16×add-cbrt-cube_binary64_15800
cbrt-undiv_binary64_15798
associate-/r/_binary64_15710 associate-/l*_binary64_15709
pow1_binary64_15825 1-exp_binary64_15808 rec-exp_binary64_15814
add-log-exp_binary64_15803 frac-2neg_binary64_15775 clear-num_binary64_15763
inv-pow_binary64_15849 pow-flip_binary64_15838
Counts
2 → 274
Calls

2 calls:

14.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
6.0ms
(/.f64 y (/.f64 x y))
Compiler

Compiled 5823 to 2541 computations (56.4% saved)

series219.0ms (1.5%)

Error
0.0b
Counts
2 → 12
Calls

2 calls:

110.0ms
(/.f64 y (/.f64 x y))
102.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
Compiler

Compiled 288 to 266 computations (7.6% saved)

simplify4.3s (28.3%)

Algorithm
egg-herbie
Rules
961×div-sub_binary64_15769
434×associate-/r/_binary64_15710
373×associate-/l*_binary64_15709
366×associate-/l/_binary64_15711
334×times-frac_binary64_15770
276×associate-*r/_binary64_15706
246×associate-*l/_binary64_15707
232×associate-/r*_binary64_15708
204×*-commutative_binary64_15695
152×unswap-sqr_binary64_15732
106×associate-*l*_binary64_15705
98×exp-prod_binary64_15816
91×associate-*r*_binary64_15704
85×log-prod_binary64_15850
76×distribute-rgt-in_binary64_15714
65×cancel-sign-sub-inv_binary64_15730
60×log-div_binary64_15851
59×cube-prod_binary64_15792
57×unsub-neg_binary64_15758
55×exp-sum_binary64_15810
54×distribute-lft-in_binary64_15713
52×sqr-pow_binary64_15736
49×distribute-rgt-neg-in_binary64_15722
48×swap-sqr_binary64_15731
47×*-rgt-identity_binary64_15754
46×cube-div_binary64_15793
42×distribute-neg-frac_binary64_15728
41×distribute-lft-neg-in_binary64_15721
37×associate--l-_binary64_15702
35×neg-mul-1_binary64_15760
34×sub-neg_binary64_15757 associate-+l-_binary64_15699
33×exp-diff_binary64_15812
32×*-lft-identity_binary64_15753
31×remove-double-div_binary64_15740
30×exp-to-pow_binary64_15826
29×/-rgt-identity_binary64_15755
26×neg-sub0_binary64_15759
25×associate--r+_binary64_15700
22×log-pow_binary64_15853 pow-sqr_binary64_15737 associate-+r-_binary64_15698
21×associate--r-_binary64_15703
19×log-rec_binary64_15852 pow-plus_binary64_15827
17×associate-+r+_binary64_15696
16×associate--l+_binary64_15701
15×cube-unmult_binary64_15801 +-commutative_binary64_15694
14×distribute-neg-out_binary64_15726 distribute-lft-neg-out_binary64_15723 distribute-rgt-out_binary64_15717
13×unpow3_binary64_15830 associate-+l+_binary64_15697
11×distribute-rgt-out--_binary64_15718
10×distribute-rgt-neg-out_binary64_15724
sqr-neg_binary64_15778 sub0-neg_binary64_15751 mul0-lft_binary64_15746 distribute-neg-in_binary64_15725
cube-mult_binary64_15794 rem-sqrt-square_binary64_15777 mul0-rgt_binary64_15747
div0_binary64_15745 distribute-lft-out--_binary64_15716
count-2_binary64_15712
pow-base-1_binary64_15824 exp-neg_binary64_15811 +-lft-identity_binary64_15748 distribute-rgt1-in_binary64_15720 distribute-lft-out_binary64_15715
exp-sqrt_binary64_15817 cube-neg_binary64_15791
cancel-sign-sub_binary64_15729
unpow2_binary64_15829 unpow1_binary64_15822 exp-lft-sqr_binary64_15819 div-exp_binary64_15815 rec-exp_binary64_15814 prod-exp_binary64_15813 1-exp_binary64_15808 exp-1-e_binary64_15807 rem-log-exp_binary64_15805 rem-exp-log_binary64_15804 rem-3cbrt-rft_binary64_15790 rem-3cbrt-lft_binary64_15789 rem-cbrt-cube_binary64_15788 rem-square-sqrt_binary64_15776 remove-double-neg_binary64_15752 *-inverses_binary64_15744 rgt-mult-inverse_binary64_15741 distribute-frac-neg_binary64_15727
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 pow-base-0_binary64_15848 unpow1/3_binary64_15831 unpow1/2_binary64_15828 unpow0_binary64_15823 unpow-1_binary64_15821 exp-lft-cube_binary64_15820 exp-cbrt_binary64_15818 e-exp-1_binary64_15809 exp-0_binary64_15806 rem-cube-cbrt_binary64_15787 sqr-abs_binary64_15779 mul-1-neg_binary64_15756 --rgt-identity_binary64_15750 +-rgt-identity_binary64_15749 +-inverses_binary64_15743 lft-mult-inverse_binary64_15742 difference-of-sqr--1_binary64_15735 difference-of-sqr-1_binary64_15734 difference-of-squares_binary64_15733 distribute-lft1-in_binary64_15719
Counts
286 → 2350
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04187488
18766962
231085071
323705071
434215071

prune4.8s (31.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New234732350
Fresh213
Picked101
Done011
Total235052355
Error
0b
Counts
2355 → 5
Compiler

Compiled 53581 to 21474 computations (59.9% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

0.2b
(/.f64 (/.f64 x y) y)

rewrite72.0ms (0.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
75×times-frac_binary64_15770
43×add-cube-cbrt_binary64_15799 add-sqr-sqrt_binary64_15786 *-un-lft-identity_binary64_15764
13×associate-/l*_binary64_15709
add-exp-log_binary64_15802 add-cbrt-cube_binary64_15800
div-inv_binary64_15761
div-exp_binary64_15815 cbrt-undiv_binary64_15798 associate-/r*_binary64_15708
pow1_binary64_15825 add-log-exp_binary64_15803 frac-2neg_binary64_15775 clear-num_binary64_15763 associate-/l/_binary64_15711
Counts
1 → 70
Calls

1 calls:

6.0ms
(/.f64 (/.f64 x y) y)
Compiler

Compiled 1151 to 418 computations (63.7% saved)

series101.0ms (0.7%)

Error
0b
Counts
1 → 6
Calls

1 calls:

96.0ms
(/.f64 (/.f64 x y) y)
Compiler

Compiled 126 to 116 computations (7.9% saved)

simplify308.0ms (2%)

Algorithm
egg-herbie
Rules
465×times-frac_binary64_15770
341×*-commutative_binary64_15695
308×associate-/l/_binary64_15711
229×associate-/l*_binary64_15709
187×associate-/r*_binary64_15708
186×cancel-sign-sub-inv_binary64_15730
167×distribute-rgt-in_binary64_15714
158×associate--l-_binary64_15702
151×associate--r-_binary64_15703
150×associate--l+_binary64_15701
134×associate-/r/_binary64_15710
131×log-prod_binary64_15850
121×unswap-sqr_binary64_15732
111×distribute-lft-in_binary64_15713
108×cube-prod_binary64_15792
97×associate-*l/_binary64_15707
91×log-div_binary64_15851
87×sqr-pow_binary64_15736
86×associate-*r/_binary64_15706
82×distribute-rgt-neg-in_binary64_15722
81×div-sub_binary64_15769
80×sub-neg_binary64_15757
77×distribute-rgt-out_binary64_15717
75×associate-*l*_binary64_15705
73×swap-sqr_binary64_15731
72×cube-div_binary64_15793
71×distribute-rgt-out--_binary64_15718
67×distribute-lft-neg-in_binary64_15721
60×distribute-lft-out_binary64_15715
48×distribute-lft-out--_binary64_15716
45×distribute-neg-frac_binary64_15728
41×pow-sqr_binary64_15737
39×exp-prod_binary64_15816
37×neg-mul-1_binary64_15760
32×pow-plus_binary64_15827 neg-sub0_binary64_15759
31×distribute-neg-in_binary64_15725
29×*-rgt-identity_binary64_15754
28×associate-*r*_binary64_15704
27×/-rgt-identity_binary64_15755
26×unpow3_binary64_15830 *-lft-identity_binary64_15753
23×cube-mult_binary64_15794
20×log-pow_binary64_15853 unsub-neg_binary64_15758
19×associate-+l-_binary64_15699
16×div-exp_binary64_15815 prod-exp_binary64_15813
15×log-rec_binary64_15852 cube-unmult_binary64_15801
13×distribute-rgt1-in_binary64_15720
11×count-2_binary64_15712
10×exp-to-pow_binary64_15826 distribute-rgt-neg-out_binary64_15724
sub0-neg_binary64_15751 distribute-lft-neg-out_binary64_15723 associate-+r-_binary64_15698
distribute-neg-out_binary64_15726 associate--r+_binary64_15700
+-commutative_binary64_15694
exp-diff_binary64_15812 +-lft-identity_binary64_15748
rem-sqrt-square_binary64_15777
rec-exp_binary64_15814 exp-sum_binary64_15810 associate-+l+_binary64_15697
exp-lft-sqr_binary64_15819 exp-sqrt_binary64_15817 div0_binary64_15745 distribute-frac-neg_binary64_15727 distribute-lft1-in_binary64_15719
remove-double-neg_binary64_15752 --rgt-identity_binary64_15750 +-inverses_binary64_15743 associate-+r+_binary64_15696
unpow2_binary64_15829 pow-base-1_binary64_15824 unpow1_binary64_15822 1-exp_binary64_15808 rem-log-exp_binary64_15805 rem-exp-log_binary64_15804 rem-3cbrt-rft_binary64_15790 rem-3cbrt-lft_binary64_15789 sqr-neg_binary64_15778 rem-square-sqrt_binary64_15776 *-inverses_binary64_15744 rgt-mult-inverse_binary64_15741 remove-double-div_binary64_15740 cancel-sign-sub_binary64_15729
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 pow-base-0_binary64_15848 unpow1/3_binary64_15831 unpow1/2_binary64_15828 unpow0_binary64_15823 unpow-1_binary64_15821 exp-lft-cube_binary64_15820 exp-cbrt_binary64_15818 exp-neg_binary64_15811 e-exp-1_binary64_15809 exp-1-e_binary64_15807 exp-0_binary64_15806 cube-neg_binary64_15791 rem-cbrt-cube_binary64_15788 rem-cube-cbrt_binary64_15787 sqr-abs_binary64_15779 mul-1-neg_binary64_15756 +-rgt-identity_binary64_15749 mul0-rgt_binary64_15747 mul0-lft_binary64_15746 lft-mult-inverse_binary64_15742 difference-of-sqr--1_binary64_15735 difference-of-sqr-1_binary64_15734 difference-of-squares_binary64_15733
Counts
76 → 243
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01411330
12991229
26291157
317211157
426171157

prune210.0ms (1.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2430243
Fresh033
Picked011
Done011
Total2435248
Error
0b
Counts
248 → 5
Compiler

Compiled 4433 to 1127 computations (74.6% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

0.2b
(*.f64 (/.f64 1 y) (/.f64 x y))

rewrite72.0ms (0.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
32×add-sqr-sqrt_binary64_15786
25×times-frac_binary64_15770
23×add-exp-log_binary64_15802
17×*-un-lft-identity_binary64_15764
15×add-cube-cbrt_binary64_15799
13×add-cbrt-cube_binary64_15800 associate-*l*_binary64_15705 associate-*r*_binary64_15704
div-exp_binary64_15815 prod-exp_binary64_15813
unswap-sqr_binary64_15732
cbrt-unprod_binary64_15797 cbrt-undiv_binary64_15798
pow1_binary64_15825
1-exp_binary64_15808 rec-exp_binary64_15814 div-inv_binary64_15761
pow-prod-down_binary64_15835 add-log-exp_binary64_15803 frac-times_binary64_15774 associate-*l/_binary64_15707 associate-*r/_binary64_15706 *-commutative_binary64_15695
Counts
1 → 56
Calls

1 calls:

12.0ms
(*.f64 (/.f64 1 y) (/.f64 x y))
Compiler

Compiled 936 to 512 computations (45.3% saved)

series115.0ms (0.8%)

Error
0b
Counts
1 → 6
Calls

1 calls:

111.0ms
(*.f64 (/.f64 1 y) (/.f64 x y))
Compiler

Compiled 126 to 116 computations (7.9% saved)

simplify438.0ms (2.9%)

Algorithm
egg-herbie
Rules
532×times-frac_binary64_15770
457×associate-/l*_binary64_15709
363×distribute-lft-out_binary64_15715
360×*-commutative_binary64_15695
353×distribute-lft-out--_binary64_15716
334×associate-/l/_binary64_15711
192×cancel-sign-sub-inv_binary64_15730
137×associate-/r/_binary64_15710
133×associate-*r*_binary64_15704
128×sqr-pow_binary64_15736
125×distribute-rgt-out--_binary64_15718
114×associate-/r*_binary64_15708
111×distribute-rgt-out_binary64_15717
108×associate-*l/_binary64_15707
100×associate-*l*_binary64_15705
90×associate-*r/_binary64_15706
83×unswap-sqr_binary64_15732
75×log-div_binary64_15851
69×log-prod_binary64_15850
68×cube-div_binary64_15793
62×remove-double-div_binary64_15740
59×cube-prod_binary64_15792 *-lft-identity_binary64_15753
58×sub-neg_binary64_15757
56×swap-sqr_binary64_15731
54×pow-sqr_binary64_15737
52×exp-prod_binary64_15816
31×distribute-rgt-neg-in_binary64_15722
30×/-rgt-identity_binary64_15755
29×distribute-neg-in_binary64_15725
28×*-rgt-identity_binary64_15754
25×unpow3_binary64_15830
24×associate-+l-_binary64_15699
23×log-rec_binary64_15852 pow-plus_binary64_15827 distribute-lft-neg-in_binary64_15721
22×cube-mult_binary64_15794
20×exp-to-pow_binary64_15826
19×log-pow_binary64_15853
18×associate--r-_binary64_15703
14×associate--l-_binary64_15702
13×neg-mul-1_binary64_15760 distribute-rgt1-in_binary64_15720 associate--r+_binary64_15700
12×unsub-neg_binary64_15758 distribute-rgt-in_binary64_15714 associate-+r-_binary64_15698
cube-unmult_binary64_15801 rem-sqrt-square_binary64_15777
distribute-lft-neg-out_binary64_15723
exp-lft-sqr_binary64_15819 exp-sqrt_binary64_15817 prod-exp_binary64_15813
neg-sub0_binary64_15759 distribute-rgt-neg-out_binary64_15724
sub0-neg_binary64_15751 +-commutative_binary64_15694
pow-base-1_binary64_15824 exp-sum_binary64_15810 distribute-neg-out_binary64_15726 count-2_binary64_15712
+-inverses_binary64_15743
exp-diff_binary64_15812 +-lft-identity_binary64_15748 distribute-lft1-in_binary64_15719 associate--l+_binary64_15701 associate-+l+_binary64_15697 associate-+r+_binary64_15696
unpow2_binary64_15829 unpow1_binary64_15822 div-exp_binary64_15815 rec-exp_binary64_15814 1-exp_binary64_15808 exp-1-e_binary64_15807 rem-log-exp_binary64_15805 rem-exp-log_binary64_15804 rem-cbrt-cube_binary64_15788 rem-square-sqrt_binary64_15776 *-inverses_binary64_15744 rgt-mult-inverse_binary64_15741 distribute-neg-frac_binary64_15728
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 pow-base-0_binary64_15848 unpow1/3_binary64_15831 unpow1/2_binary64_15828 unpow0_binary64_15823 unpow-1_binary64_15821 exp-lft-cube_binary64_15820 exp-cbrt_binary64_15818 exp-neg_binary64_15811 e-exp-1_binary64_15809 exp-0_binary64_15806 cube-neg_binary64_15791 rem-3cbrt-rft_binary64_15790 rem-3cbrt-lft_binary64_15789 rem-cube-cbrt_binary64_15787 sqr-abs_binary64_15779 sqr-neg_binary64_15778 div-sub_binary64_15769 mul-1-neg_binary64_15756 remove-double-neg_binary64_15752 --rgt-identity_binary64_15750 +-rgt-identity_binary64_15749 mul0-rgt_binary64_15747 mul0-lft_binary64_15746 div0_binary64_15745 lft-mult-inverse_binary64_15742 difference-of-sqr--1_binary64_15735 difference-of-sqr-1_binary64_15734 difference-of-squares_binary64_15733 cancel-sign-sub_binary64_15729 distribute-frac-neg_binary64_15727 distribute-lft-in_binary64_15713
Counts
62 → 164
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0111833
1289722
2961702
32215667
42763667

prune144.0ms (1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1640164
Fresh022
Picked011
Done022
Total1645169
Error
0b
Counts
169 → 5
Compiler

Compiled 2650 to 1004 computations (62.1% saved)

regimes685.0ms (4.5%)

Accuracy

Total 0.1b remaining (98.6%)

Threshold costs 0.1b (98.6%)

Compiler

Compiled 6850 to 4992 computations (27.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm
egg-herbie
Rules
sub-neg_binary64_15757 +-commutative_binary64_15694
neg-mul-1_binary64_15760 neg-sub0_binary64_15759 *-commutative_binary64_15695
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 unsub-neg_binary64_15758 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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
1910
21410
31610
41710
Proof
(- f64 (/ f64 (/ f64 h0 h1) h1) 3)

end0.0ms (0%)

sample1.6s (10.8%)

Algorithm
intervals
Results
190.0ms8000×body128valid
14.0ms424×body128invalid
Compiler

Compiled 1333 to 979 computations (26.6% saved)

Profiling

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