Details

Time bar (total: 2.4s)

analyze313.0ms (12.9%)

Algorithm
search
egg-herbie
Rules
1487×div-sub_binary64_765
708×unsub-neg_binary64_754
664×sub-neg_binary64_753
621×times-frac_binary64_766
503×distribute-rgt-in_binary64_710
470×distribute-lft-in_binary64_709
337×associate-/l*_binary64_705
239×cancel-sign-sub-inv_binary64_726
146×associate-/l/_binary64_707
144×neg-mul-1_binary64_756
114×distribute-neg-in_binary64_721
113×associate-/r*_binary64_704
111×distribute-rgt-neg-in_binary64_718
107×distribute-neg-frac_binary64_724
105×distribute-lft-neg-in_binary64_717
102×distribute-frac-neg_binary64_723
93×*-commutative_binary64_691
91×neg-sub0_binary64_755 distribute-lft-neg-out_binary64_719
83×associate--r-_binary64_699 associate--r+_binary64_696
72×associate--l-_binary64_698
67×distribute-rgt-neg-out_binary64_720
40×associate-/r/_binary64_706
38×+-commutative_binary64_690
30×remove-double-neg_binary64_748
27×/-rgt-identity_binary64_751 mul0-rgt_binary64_743
26×div0_binary64_741 associate-*l/_binary64_703
25×mul0-lft_binary64_742
23×*-lft-identity_binary64_749
20×associate-*r*_binary64_700 associate-+l-_binary64_695
19×remove-double-div_binary64_736
16×sub0-neg_binary64_747 --rgt-identity_binary64_746
15×lft-mult-inverse_binary64_738
12×associate-*l*_binary64_701
10×*-rgt-identity_binary64_750 associate-+r-_binary64_694 associate-+r+_binary64_692
distribute-rgt-out--_binary64_714
+-rgt-identity_binary64_745
cancel-sign-sub_binary64_725
distribute-neg-out_binary64_722 associate-+l+_binary64_693
+-lft-identity_binary64_744 *-inverses_binary64_740 rgt-mult-inverse_binary64_737
mul-1-neg_binary64_752 associate--l+_binary64_697
1-exp_binary64_804
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 unpow3_binary64_826 unpow2_binary64_825 unpow1/2_binary64_824 pow-plus_binary64_823 exp-to-pow_binary64_822 pow-base-1_binary64_820 unpow0_binary64_819 unpow1_binary64_818 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-unmult_binary64_797 cube-mult_binary64_790 cube-div_binary64_789 cube-prod_binary64_788 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-sqrt-square_binary64_773 rem-square-sqrt_binary64_772 +-inverses_binary64_739 pow-sqr_binary64_733 sqr-pow_binary64_732 difference-of-sqr--1_binary64_731 difference-of-sqr-1_binary64_730 difference-of-squares_binary64_729 unswap-sqr_binary64_728 swap-sqr_binary64_727 distribute-rgt1-in_binary64_716 distribute-lft1-in_binary64_715 distribute-rgt-out_binary64_713 distribute-lft-out--_binary64_712 distribute-lft-out_binary64_711 count-2_binary64_708 associate-*r/_binary64_702
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01440
13540
25740
39440
417940
533140
674840
7137040
8225140
9173340
10183740
11197340
12206740
13184740
14234340
15187140
16187140
17212340
18188340
19188340
20188340
21172340
033
133
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
Compiler

Compiled 14 to 11 computations (21.4% saved)

sample21.0ms (0.9%)

Algorithm
intervals
Results
5.0ms256×body128valid
4.0ms256×pre128true
Compiler

Compiled 21 to 20 computations (4.8% saved)

simplify76.0ms (3.1%)

Algorithm
egg-herbie
Rules
530×div-sub_binary64_765
326×times-frac_binary64_766
174×associate-/l/_binary64_707
166×sub-neg_binary64_753
160×associate-/l*_binary64_705
123×associate-/r*_binary64_704
121×associate-/r/_binary64_706
106×distribute-rgt-in_binary64_710
103×distribute-lft-in_binary64_709
92×cancel-sign-sub-inv_binary64_726
76×unsub-neg_binary64_754
61×distribute-neg-frac_binary64_724
41×distribute-frac-neg_binary64_723
40×neg-mul-1_binary64_756
34×associate-*l/_binary64_703
29×associate--r+_binary64_696
27×neg-sub0_binary64_755 associate--r-_binary64_699 associate--l-_binary64_698
24×*-commutative_binary64_691
23×distribute-rgt-neg-in_binary64_718 associate-*r/_binary64_702
22×associate-*r*_binary64_700
21×+-commutative_binary64_690
20×mul0-rgt_binary64_743 div0_binary64_741 distribute-lft-neg-out_binary64_719
19×distribute-rgt-neg-out_binary64_720
18×distribute-lft-neg-in_binary64_717
17×distribute-neg-in_binary64_721
15×*-lft-identity_binary64_749 mul0-lft_binary64_742
12×associate-*l*_binary64_701
11×sub0-neg_binary64_747 associate-+l-_binary64_695
associate-+l+_binary64_693
+-lft-identity_binary64_744 associate-+r-_binary64_694
*-rgt-identity_binary64_750 associate-+r+_binary64_692
+-rgt-identity_binary64_745
/-rgt-identity_binary64_751 lft-mult-inverse_binary64_738
remove-double-neg_binary64_748 distribute-neg-out_binary64_722 distribute-lft-out_binary64_711
mul-1-neg_binary64_752 *-inverses_binary64_740 associate--l+_binary64_697
1-exp_binary64_804 --rgt-identity_binary64_746 distribute-rgt-out--_binary64_714
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 unpow3_binary64_826 unpow2_binary64_825 unpow1/2_binary64_824 pow-plus_binary64_823 exp-to-pow_binary64_822 pow-base-1_binary64_820 unpow0_binary64_819 unpow1_binary64_818 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-unmult_binary64_797 cube-mult_binary64_790 cube-div_binary64_789 cube-prod_binary64_788 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-sqrt-square_binary64_773 rem-square-sqrt_binary64_772 +-inverses_binary64_739 rgt-mult-inverse_binary64_737 remove-double-div_binary64_736 pow-sqr_binary64_733 sqr-pow_binary64_732 difference-of-sqr--1_binary64_731 difference-of-sqr-1_binary64_730 difference-of-squares_binary64_729 unswap-sqr_binary64_728 swap-sqr_binary64_727 cancel-sign-sub_binary64_725 distribute-rgt1-in_binary64_716 distribute-lft1-in_binary64_715 distribute-rgt-out_binary64_713 distribute-lft-out--_binary64_712 count-2_binary64_708
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11310
22110
33510
45910
510510
619810
737110
866410
999810
10110010
11111710
12108810
13109510
14109710
15110510
16110510
17100310

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
62.0b
Counts
1 → 1
Compiler

Compiled 7 to 6 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

62.0b
(/.f64 (-.f64 x lo) (-.f64 hi lo))

rewrite49.0ms (2%)

Algorithm
rewrite-expression-head
Error
62.0b
Rules
37×add-sqr-sqrt_binary64_782 *-un-lft-identity_binary64_760
25×times-frac_binary64_766
13×add-cube-cbrt_binary64_795
12×difference-of-squares_binary64_729 distribute-lft-out--_binary64_712
associate-/l*_binary64_705 associate-/r*_binary64_704
add-exp-log_binary64_798 add-cbrt-cube_binary64_796
flip3--_binary64_764 associate-/l/_binary64_707 flip--_binary64_735 associate-/r/_binary64_706
pow1_binary64_821 div-exp_binary64_811 add-log-exp_binary64_799 cbrt-undiv_binary64_794 frac-2neg_binary64_771 div-sub_binary64_765 clear-num_binary64_759 div-inv_binary64_757
Counts
1 → 52
Calls

1 calls:

8.0ms
(/.f64 (-.f64 x lo) (-.f64 hi lo))
Compiler

Compiled 844 to 193 computations (77.1% saved)

series80.0ms (3.3%)

Error
51.8b
Counts
1 → 10
Calls

1 calls:

69.0ms
(/.f64 (-.f64 x lo) (-.f64 hi lo))
Compiler

Compiled 255 to 188 computations (26.3% saved)

simplify79.0ms (3.2%)

Algorithm
egg-herbie
Rules
661×unsub-neg_binary64_754
431×times-frac_binary64_766
413×associate-/l*_binary64_705
381×distribute-rgt-in_binary64_710
358×distribute-lft-in_binary64_709
266×div-sub_binary64_765
244×associate-/r*_binary64_704
219×neg-sub0_binary64_755
204×associate-*l/_binary64_703
199×neg-mul-1_binary64_756
174×associate-/l/_binary64_707
107×sub-neg_binary64_753
106×associate-/r/_binary64_706
100×associate-*r/_binary64_702
83×distribute-rgt-neg-out_binary64_720
77×distribute-lft-neg-out_binary64_719
69×associate-*l*_binary64_701
68×*-commutative_binary64_691
59×associate-*r*_binary64_700
50×cancel-sign-sub-inv_binary64_726
41×distribute-frac-neg_binary64_723 +-commutative_binary64_690
28×distribute-neg-frac_binary64_724
24×distribute-rgt-out_binary64_713
22×distribute-lft-neg-in_binary64_717
20×sqr-pow_binary64_732 unswap-sqr_binary64_728
19×*-rgt-identity_binary64_750
18×cube-prod_binary64_788 associate-+r+_binary64_692
17×distribute-rgt-neg-in_binary64_718
15×associate-+l+_binary64_693
14×associate-+r-_binary64_694
12×exp-prod_binary64_812 +-rgt-identity_binary64_745
10×cube-unmult_binary64_797 mul-1-neg_binary64_752 distribute-neg-in_binary64_721 associate-+l-_binary64_695
distribute-lft-out_binary64_711
cube-div_binary64_789 sub0-neg_binary64_747 distribute-neg-out_binary64_722
unpow3_binary64_826 exp-diff_binary64_808 /-rgt-identity_binary64_751
sqr-neg_binary64_774 difference-of-squares_binary64_729
associate--r-_binary64_699 associate--r+_binary64_696
exp-sum_binary64_806 *-lft-identity_binary64_749
log-div_binary64_847 log-prod_binary64_846 pow-plus_binary64_823 cube-neg_binary64_787 div0_binary64_741 swap-sqr_binary64_727
cube-mult_binary64_790 --rgt-identity_binary64_746 distribute-rgt-out--_binary64_714 associate--l-_binary64_698 associate--l+_binary64_697
unpow2_binary64_825 unpow1/2_binary64_824 unpow1_binary64_818 1-exp_binary64_804 rem-sqrt-square_binary64_773 remove-double-neg_binary64_748 *-inverses_binary64_740 pow-sqr_binary64_733 distribute-rgt1-in_binary64_716 count-2_binary64_708
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 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-neg_binary64_807 e-exp-1_binary64_805 exp-1-e_binary64_803 exp-0_binary64_802 rem-log-exp_binary64_801 rem-exp-log_binary64_800 rem-3cbrt-rft_binary64_786 rem-3cbrt-lft_binary64_785 rem-cbrt-cube_binary64_784 rem-cube-cbrt_binary64_783 sqr-abs_binary64_775 rem-square-sqrt_binary64_772 +-lft-identity_binary64_744 mul0-rgt_binary64_743 mul0-lft_binary64_742 +-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 cancel-sign-sub_binary64_725 distribute-lft1-in_binary64_715 distribute-lft-out--_binary64_712
Counts
62 → 24
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01061103
12621061
26001055
314611055
442041055
551141055

prune21.0ms (0.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New22224
Fresh000
Picked101
Done000
Total23225
Error
51.9b
Counts
25 → 2
Compiler

Compiled 326 to 93 computations (71.5% saved)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm
rewrite-expression-head
Error
51.9b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error
51.9b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

simplify10.0ms (0.4%)

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_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 unpow3_binary64_826 unpow2_binary64_825 unpow1/2_binary64_824 pow-plus_binary64_823 exp-to-pow_binary64_822 pow-base-1_binary64_820 unpow0_binary64_819 unpow1_binary64_818 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 1-exp_binary64_804 exp-1-e_binary64_803 exp-0_binary64_802 rem-log-exp_binary64_801 rem-exp-log_binary64_800 cube-unmult_binary64_797 cube-mult_binary64_790 cube-div_binary64_789 cube-prod_binary64_788 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-sqrt-square_binary64_773 rem-square-sqrt_binary64_772 times-frac_binary64_766 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 pow-sqr_binary64_733 sqr-pow_binary64_732 difference-of-sqr--1_binary64_731 difference-of-sqr-1_binary64_730 difference-of-squares_binary64_729 unswap-sqr_binary64_728 swap-sqr_binary64_727 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-/l/_binary64_707 associate-/r/_binary64_706 associate-/l*_binary64_705 associate-/r*_binary64_704 associate-*l/_binary64_703 associate-*r/_binary64_702 associate-*l*_binary64_701 associate-*r*_binary64_700 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 *-commutative_binary64_691 +-commutative_binary64_690
Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
100

prune2.0ms (0.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done000
Total022
Error
51.9b
Counts
2 → 2
Compiler

Compiled 13 to 9 computations (30.8% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

29.0b
(/.f64 (*.f64 lo x) (*.f64 hi hi))

rewrite23.0ms (0.9%)

Algorithm
rewrite-expression-head
Error
51.8b
Rules
13×add-exp-log_binary64_798 add-cbrt-cube_binary64_796
prod-exp_binary64_809 div-exp_binary64_811 cbrt-undiv_binary64_794 cbrt-unprod_binary64_793
pow1_binary64_821 add-log-exp_binary64_799 add-cube-cbrt_binary64_795 add-sqr-sqrt_binary64_782 frac-2neg_binary64_771 times-frac_binary64_766 *-un-lft-identity_binary64_760 clear-num_binary64_759 div-inv_binary64_757 associate-/l*_binary64_705 associate-/r*_binary64_704
Counts
1 → 21
Calls

1 calls:

6.0ms
(/.f64 (*.f64 lo x) (*.f64 hi hi))
Compiler

Compiled 417 to 95 computations (77.2% saved)

series219.0ms (9%)

Error
51.9b
Counts
1 → 9
Calls

1 calls:

213.0ms
(/.f64 (*.f64 lo x) (*.f64 hi hi))
Compiler

Compiled 351 to 222 computations (36.8% saved)

simplify70.0ms (2.9%)

Algorithm
egg-herbie
Rules
767×unswap-sqr_binary64_728
695×associate-/l*_binary64_705
326×associate-*l*_binary64_701
310×associate-*l/_binary64_703
276×associate-/r*_binary64_704
256×associate-*r*_binary64_700
228×associate-*r/_binary64_702
207×sub-neg_binary64_753
139×associate-/l/_binary64_707
137×times-frac_binary64_766
113×sqr-pow_binary64_732
104×associate-/r/_binary64_706
103×div-sub_binary64_765
81×associate--r+_binary64_696
77×associate--l+_binary64_697
76×*-commutative_binary64_691
58×associate-+l+_binary64_693
45×log-prod_binary64_846
42×neg-mul-1_binary64_756 associate-+r+_binary64_692
40×neg-sub0_binary64_755
38×associate-+l-_binary64_695 +-commutative_binary64_690
37×cube-prod_binary64_788 unsub-neg_binary64_754
36×cancel-sign-sub-inv_binary64_726 distribute-rgt-in_binary64_710
35×distribute-neg-in_binary64_721
34×log-div_binary64_847 cube-div_binary64_789
29×associate--r-_binary64_699
27×distribute-lft-in_binary64_709
26×swap-sqr_binary64_727 associate--l-_binary64_698
25×unpow3_binary64_826
23×pow-sqr_binary64_733
22×cube-mult_binary64_790
17×distribute-rgt-neg-in_binary64_718
16×distribute-lft-neg-in_binary64_717
14×pow-plus_binary64_823 associate-+r-_binary64_694
11×log-pow_binary64_849
10×sub0-neg_binary64_747
+-rgt-identity_binary64_745
cube-unmult_binary64_797 --rgt-identity_binary64_746
exp-prod_binary64_812 *-rgt-identity_binary64_750 remove-double-neg_binary64_748
*-lft-identity_binary64_749 +-lft-identity_binary64_744 distribute-rgt-out_binary64_713 count-2_binary64_708
mul0-rgt_binary64_743 mul0-lft_binary64_742
distribute-rgt-out--_binary64_714 distribute-lft-out_binary64_711
unpow2_binary64_825 unpow1/2_binary64_824 unpow1_binary64_818 1-exp_binary64_804 rem-sqrt-square_binary64_773 distribute-rgt-neg-out_binary64_720 distribute-lft-neg-out_binary64_719
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-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 rem-square-sqrt_binary64_772 mul-1-neg_binary64_752 /-rgt-identity_binary64_751 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_binary64_725 distribute-neg-frac_binary64_724 distribute-frac-neg_binary64_723 distribute-neg-out_binary64_722 distribute-rgt1-in_binary64_716 distribute-lft1-in_binary64_715 distribute-lft-out--_binary64_712
Counts
30 → 26
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053445
1139340
2589340
33029340
43370340
54189340
65919340

prune21.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New25126
Fresh000
Picked101
Done011
Total26228
Error
51.8b
Counts
28 → 2
Compiler

Compiled 411 to 67 computations (83.7% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b
(/.f64 (*.f64 x (/.f64 lo hi)) hi)
0.3b
(*.f64 x (/.f64 lo hi))

rewrite65.0ms (2.7%)

Algorithm
rewrite-expression-head
Error
51.8b
Rules
17×add-sqr-sqrt_binary64_782
16×add-exp-log_binary64_798 add-cbrt-cube_binary64_796
13×times-frac_binary64_766 associate-*r*_binary64_700
12×add-cube-cbrt_binary64_795 *-un-lft-identity_binary64_760
div-exp_binary64_811 cbrt-undiv_binary64_794
pow1_binary64_821 prod-exp_binary64_809 cbrt-unprod_binary64_793
associate-*l*_binary64_701 associate-/r*_binary64_704
add-log-exp_binary64_799 unswap-sqr_binary64_728 associate-*r/_binary64_702 div-inv_binary64_757
pow-prod-down_binary64_831 *-commutative_binary64_691 frac-2neg_binary64_771 clear-num_binary64_759 associate-/l/_binary64_707 associate-/l*_binary64_705
Counts
2 → 56
Calls

2 calls:

7.0ms
(*.f64 x (/.f64 lo hi))
6.0ms
(/.f64 (*.f64 x (/.f64 lo hi)) hi)
Compiler

Compiled 1090 to 268 computations (75.4% saved)

series355.0ms (14.6%)

Error
51.8b
Counts
2 → 18
Calls

2 calls:

209.0ms
(/.f64 (*.f64 x (/.f64 lo hi)) hi)
135.0ms
(*.f64 x (/.f64 lo hi))
Compiler

Compiled 702 to 387 computations (44.9% saved)

simplify101.0ms (4.2%)

Algorithm
egg-herbie
Rules
520×associate-/l/_binary64_707
497×associate-*l/_binary64_703
396×associate-*r/_binary64_702
355×associate-*l*_binary64_701
294×associate-*r*_binary64_700
289×associate-/r/_binary64_706
285×associate-/r*_binary64_704
221×sub-neg_binary64_753
199×unsub-neg_binary64_754
146×log-prod_binary64_846
145×cancel-sign-sub-inv_binary64_726
132×cube-prod_binary64_788
125×log-div_binary64_847
122×cube-div_binary64_789
121×*-commutative_binary64_691
120×sqr-pow_binary64_732
111×associate-/l*_binary64_705
105×unswap-sqr_binary64_728
88×neg-mul-1_binary64_756
85×neg-sub0_binary64_755
80×associate--l+_binary64_697
78×associate-+l-_binary64_695
76×swap-sqr_binary64_727
73×distribute-neg-in_binary64_721
67×times-frac_binary64_766
66×div-sub_binary64_765
63×*-lft-identity_binary64_749
60×associate--l-_binary64_698
59×associate-+l+_binary64_693
54×unpow3_binary64_826
49×cube-mult_binary64_790
47×*-rgt-identity_binary64_750
37×exp-prod_binary64_812
34×associate--r+_binary64_696
32×distribute-lft-neg-in_binary64_717
31×distribute-rgt-neg-in_binary64_718
29×associate-+r-_binary64_694 associate-+r+_binary64_692
28×distribute-neg-frac_binary64_724
21×+-commutative_binary64_690
20×associate--r-_binary64_699
19×log-rec_binary64_848 pow-sqr_binary64_733
17×/-rgt-identity_binary64_751
15×distribute-neg-out_binary64_722
12×log-pow_binary64_849 rem-sqrt-square_binary64_773
11×pow-plus_binary64_823
10×--rgt-identity_binary64_746
distribute-rgt-out--_binary64_714
cube-unmult_binary64_797
remove-double-neg_binary64_748 div0_binary64_741 distribute-rgt-in_binary64_710 distribute-lft-in_binary64_709
unpow1/2_binary64_824 +-rgt-identity_binary64_745
+-lft-identity_binary64_744 distribute-lft-neg-out_binary64_719
sub0-neg_binary64_747 mul0-rgt_binary64_743 mul0-lft_binary64_742 distribute-frac-neg_binary64_723 count-2_binary64_708
+-inverses_binary64_739 distribute-rgt-neg-out_binary64_720 distribute-lft1-in_binary64_715
unpow2_binary64_825 unpow1_binary64_818 exp-diff_binary64_808 exp-sum_binary64_806 1-exp_binary64_804 exp-1-e_binary64_803 remove-double-div_binary64_736 distribute-rgt1-in_binary64_716 distribute-lft-out_binary64_711
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 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-neg_binary64_807 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-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 mul-1-neg_binary64_752 *-inverses_binary64_740 lft-mult-inverse_binary64_738 rgt-mult-inverse_binary64_737 difference-of-sqr--1_binary64_731 difference-of-sqr-1_binary64_730 difference-of-squares_binary64_729 cancel-sign-sub_binary64_725 distribute-rgt-out_binary64_713 distribute-lft-out--_binary64_712
Counts
74 → 46
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0100899
1250770
2943770
33212766
43857766
54573766
64959766

prune31.0ms (1.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New46046
Fresh000
Picked011
Done011
Total46248
Error
51.8b
Counts
48 → 2
Compiler

Compiled 743 to 147 computations (80.2% saved)

regimes76.0ms (3.1%)

Accuracy

Total 0.2b remaining (0.3%)

Threshold costs 0.2b (0.3%)

Compiler

Compiled 438 to 384 computations (12.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64_690
sub-neg_binary64_753 *-commutative_binary64_691
neg-mul-1_binary64_756 neg-sub0_binary64_755
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-not_binary64_1018 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 1-exp_binary64_804 exp-1-e_binary64_803 exp-0_binary64_802 sqr-abs_binary64_775 sqr-neg_binary64_774 unsub-neg_binary64_754 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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
11419
21919
32119
42219
52219

end0.0ms (0%)

sample790.0ms (32.5%)

Algorithm
intervals
Results
176.0ms8000×body128valid
164.0ms8000×pre128true
Compiler

Compiled 126 to 106 computations (15.9% saved)

Profiling

Loading profile data...