Metrics for math.exp on complex, imaginary part

analyze281.0ms (6.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

2× *-commutative_binary64_691

0× not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_1023 erf-erfc_binary64_1022 erf-odd_binary64_1021 if-if-and-not_binary64_1020 if-if-and_binary64_1019 if-if-or-not_binary64_1018 if-if-or_binary64_1017 if-not_binary64_1016 if-same_binary64_1015 if-false_binary64_1014 if-true_binary64_1013 not-gte_binary64_1012 not-lte_binary64_1011 not-gt_binary64_1010 not-lt_binary64_1009 gte-same_binary64_1008 lte-same_binary64_1007 gt-same_binary64_1006 lt-same_binary64_1005 sinh---cosh_binary64_952 sinh-+-cosh_binary64_951 sinh-cosh_binary64_950 tanh-def-c_binary64_949 tanh-def-b_binary64_948 tanh-def-a_binary64_947 cosh-def_binary64_946 sinh-def_binary64_945 tan-neg_binary64_892 cos-neg_binary64_891 sin-neg_binary64_890 tan-0_binary64_889 cos-0_binary64_888 sin-0_binary64_887 hang-m-tan_binary64_886 hang-p-tan_binary64_885 hang-m0-tan_binary64_884 hang-p0-tan_binary64_883 hang-0m-tan_binary64_882 hang-0p-tan_binary64_881 tan-+PI/2_binary64_880 tan-+PI_binary64_879 tan-PI_binary64_878 tan-PI/3_binary64_877 tan-PI/4_binary64_876 tan-PI/6_binary64_875 cos-+PI/2_binary64_874 cos-+PI_binary64_873 cos-PI_binary64_872 cos-PI/2_binary64_871 cos-PI/3_binary64_870 cos-PI/4_binary64_869 cos-PI/6_binary64_868 sin-+PI/2_binary64_867 sin-+PI_binary64_866 sin-PI_binary64_865 sin-PI/2_binary64_864 sin-PI/3_binary64_863 sin-PI/4_binary64_862 sin-PI/6_binary64_861 sub-1-sin_binary64_860 sub-1-cos_binary64_859 -1-add-sin_binary64_858 -1-add-cos_binary64_857 1-sub-sin_binary64_856 1-sub-cos_binary64_855 cos-sin-sum_binary64_854 log-E_binary64_850 log-pow_binary64_849 log-rec_binary64_848 log-div_binary64_847 log-prod_binary64_846 pow-base-0_binary64_844 unpow1/3_binary64_827 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_690

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	11	16
2	11	16
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
81.2%	18.7%	0.1%	5
81.2%	15.6%	3.2%	6
81.2%	15.6%	3.2%	7
81.2%	14%	4.8%	8
81.2%	14%	4.8%	9
81.2%	13.3%	5.6%	10
81.2%	13.3%	5.6%	11
81.2%	12.9%	6%	12
81.2%	12.9%	6%	13
81.2%	12.7%	6.1%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample39.0ms (0.9%)

Algorithm

1×

intervals

Results

11.0ms	45×	body	1024	valid
8.0ms	185×	body	128	valid
3.0ms	17×	body	1024	invalid
3.0ms	21×	body	512	valid
1.0ms	24×	body	128	invalid
1.0ms	9×	body	512	invalid
1.0ms	6×	body	256	invalid
0.0ms	5×	body	256	valid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1× *-commutative_binary64_691

0× not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_1023 erf-erfc_binary64_1022 erf-odd_binary64_1021 if-if-and-not_binary64_1020 if-if-and_binary64_1019 if-if-or-not_binary64_1018 if-if-or_binary64_1017 if-not_binary64_1016 if-same_binary64_1015 if-false_binary64_1014 if-true_binary64_1013 not-gte_binary64_1012 not-lte_binary64_1011 not-gt_binary64_1010 not-lt_binary64_1009 gte-same_binary64_1008 lte-same_binary64_1007 gt-same_binary64_1006 lt-same_binary64_1005 sinh---cosh_binary64_952 sinh-+-cosh_binary64_951 sinh-cosh_binary64_950 tanh-def-c_binary64_949 tanh-def-b_binary64_948 tanh-def-a_binary64_947 cosh-def_binary64_946 sinh-def_binary64_945 tan-neg_binary64_892 cos-neg_binary64_891 sin-neg_binary64_890 tan-0_binary64_889 cos-0_binary64_888 sin-0_binary64_887 hang-m-tan_binary64_886 hang-p-tan_binary64_885 hang-m0-tan_binary64_884 hang-p0-tan_binary64_883 hang-0m-tan_binary64_882 hang-0p-tan_binary64_881 tan-+PI/2_binary64_880 tan-+PI_binary64_879 tan-PI_binary64_878 tan-PI/3_binary64_877 tan-PI/4_binary64_876 tan-PI/6_binary64_875 cos-+PI/2_binary64_874 cos-+PI_binary64_873 cos-PI_binary64_872 cos-PI/2_binary64_871 cos-PI/3_binary64_870 cos-PI/4_binary64_869 cos-PI/6_binary64_868 sin-+PI/2_binary64_867 sin-+PI_binary64_866 sin-PI_binary64_865 sin-PI/2_binary64_864 sin-PI/3_binary64_863 sin-PI/4_binary64_862 sin-PI/6_binary64_861 sub-1-sin_binary64_860 sub-1-cos_binary64_859 -1-add-sin_binary64_858 -1-add-cos_binary64_857 1-sub-sin_binary64_856 1-sub-cos_binary64_855 cos-sin-sum_binary64_854 log-E_binary64_850 log-pow_binary64_849 log-rec_binary64_848 log-div_binary64_847 log-prod_binary64_846 pow-base-0_binary64_844 unpow1/3_binary64_827 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_690

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8
2	7	8

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

0.0b

Counts

1 → 1

Compiler

Compiled 5 to 5 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (exp.f64 re) (sin.f64 im))

rewrite24.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0b

Rules

5×	`add-sqr-sqrt_binary64_782`
3×	`pow1_binary64_821` `add-cbrt-cube_binary64_796` `add-cube-cbrt_binary64_795` `-un-lft-identity_binary64_760` `associate-l_binary64_701` `associate-r*_binary64_700`
2×	`add-exp-log_binary64_798`
1×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `add-log-exp_binary64_799` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `*-commutative_binary64_691`

Counts

1 → 18

Calls

1 calls:

6.0ms

(*.f64 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 192 to 54 computations (71.9% saved)

series116.0ms (2.7%)

Error

0b

Counts

1 → 11

Calls

1 calls:

107.0ms

(*.f64 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 269 to 174 computations (35.3% saved)

simplify97.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

416×	`cancel-sign-sub-inv_binary64_726`
342×	`distribute-rgt-neg-in_binary64_718`
334×	`unswap-sqr_binary64_728`
325×	`distribute-lft-out_binary64_711`
290×	`distribute-lft-neg-in_binary64_717`
258×	`*-commutative_binary64_691`
237×	`distribute-rgt-out_binary64_713`
225×	`+-commutative_binary64_690`
222×	`associate-l_binary64_701`
204×	`associate-+l+_binary64_693`
202×	`distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709`
188×	`sqr-pow_binary64_732`
182×	`associate-+r+_binary64_692`
177×	`associate-r_binary64_700`
115×	`times-frac_binary64_766`
108×	`sub-neg_binary64_753`
84×	`exp-prod_binary64_812`
82×	`neg-mul-1_binary64_756`
78×	`cube-prod_binary64_788`
76×	`neg-sub0_binary64_755`
74×	`log-prod_binary64_846`
73×	`pow-sqr_binary64_733`
50×	`distribute-neg-in_binary64_721`
48×	`exp-sum_binary64_806`
46×	`cube-div_binary64_789`
37×	`distribute-rgt-out--_binary64_714`
35×	`swap-sqr_binary64_727`
34×	`log-div_binary64_847` `unpow3_binary64_826`
33×	`associate-/l/_binary64_707` `associate-/l*_binary64_705`
32×	`associate-*r/_binary64_702`
29×	`associate--r+_binary64_696`
26×	`distribute-lft-neg-out_binary64_719`
25×	`associate-+l-_binary64_695`
23×	`log-pow_binary64_849` `*-lft-identity_binary64_749`
22×	`cube-unmult_binary64_797` `*-rgt-identity_binary64_750` `count-2_binary64_708`
21×	`cube-mult_binary64_790` `rem-sqrt-square_binary64_773`
20×	`distribute-rgt1-in_binary64_716`
19×	`associate-/r/_binary64_706`
18×	`distribute-lft-out--_binary64_712`
17×	`pow-plus_binary64_823`
13×	`associate-/r_binary64_704` `associate-l/_binary64_703`
11×	`associate--l+_binary64_697`
10×	`sub0-neg_binary64_747` `distribute-rgt-neg-out_binary64_720` `distribute-lft1-in_binary64_715` `associate-+r-_binary64_694`
9×	`unpow2_binary64_825` `+-rgt-identity_binary64_745`
8×	`unsub-neg_binary64_754`
7×	`unpow1_binary64_818` `exp-sqrt_binary64_813`
6×	`unpow1/2_binary64_824` `exp-to-pow_binary64_822` `prod-exp_binary64_809` `remove-double-neg_binary64_748`
5×	`rem-log-exp_binary64_801`
4×	`exp-lft-sqr_binary64_815` `exp-diff_binary64_808` `rem-exp-log_binary64_800` `--rgt-identity_binary64_746`
3×	`cancel-sign-sub_binary64_725` `distribute-neg-frac_binary64_724` `associate--r-_binary64_699`
2×	`log-rec_binary64_848` `cube-neg_binary64_787` `sqr-neg_binary64_774` `/-rgt-identity_binary64_751`
1×	`sin-neg_binary64_890` `exp-lft-cube_binary64_816` `1-exp_binary64_804` `exp-1-e_binary64_803` `mul-1-neg_binary64_752`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1023` `erf-erfc_binary64_1022` `erf-odd_binary64_1021` `if-if-and-not_binary64_1020` `if-if-and_binary64_1019` `if-if-or-not_binary64_1018` `if-if-or_binary64_1017` `if-not_binary64_1016` `if-same_binary64_1015` `if-false_binary64_1014` `if-true_binary64_1013` `not-gte_binary64_1012` `not-lte_binary64_1011` `not-gt_binary64_1010` `not-lt_binary64_1009` `gte-same_binary64_1008` `lte-same_binary64_1007` `gt-same_binary64_1006` `lt-same_binary64_1005` `sinh---cosh_binary64_952` `sinh-+-cosh_binary64_951` `sinh-cosh_binary64_950` `tanh-def-c_binary64_949` `tanh-def-b_binary64_948` `tanh-def-a_binary64_947` `cosh-def_binary64_946` `sinh-def_binary64_945` `tan-neg_binary64_892` `cos-neg_binary64_891` `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` `pow-base-1_binary64_820` `unpow0_binary64_819` `unpow-1_binary64_817` `exp-cbrt_binary64_814` `div-exp_binary64_811` `rec-exp_binary64_810` `exp-neg_binary64_807` `e-exp-1_binary64_805` `exp-0_binary64_802` `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` `div-sub_binary64_765` `+-lft-identity_binary64_744` `mul0-rgt_binary64_743` `mul0-lft_binary64_742` `div0_binary64_741` `*-inverses_binary64_740` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `difference-of-squares_binary64_729` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `associate--l-_binary64_698`

Counts

29 → 17

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	390
1	152	354
2	393	334
3	965	321
4	1952	321
5	2639	321
6	3769	321
7	4592	321
8	4902	321

prune17.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	14	3	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	4	18

Error

0b

Counts

18 → 4

Compiler

Compiled 197 to 92 computations (53.3% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (exp.f64 re))
0.0b	(cbrt.f64 (exp.f64 re))
0.0b	(cbrt.f64 (exp.f64 re))
0.0b	(.f64 (.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re))) (*.f64 (sin.f64 im) (cbrt.f64 (exp.f64 re))))

rewrite70.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0b

Rules

16×	`pow1_binary64_821` `add-exp-log_binary64_798`
10×	`add-cbrt-cube_binary64_796`
9×	`cbrt-prod_binary64_791`
8×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793`
7×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
4×	`add-log-exp_binary64_799`
3×	`pow1/3_binary64_842`
1×	`associate-l_binary64_701` `associate-r_binary64_700` `*-commutative_binary64_691`

Counts

4 → 55

Calls

4 calls:

12.0ms	(.f64 (.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re))) (*.f64 (sin.f64 im) (cbrt.f64 (exp.f64 re))))
2.0ms	(cbrt.f64 (exp.f64 re))
2.0ms	(cbrt.f64 (exp.f64 re))
2.0ms	(cbrt.f64 (exp.f64 re))

Compiler

Compiled 1115 to 175 computations (84.3% saved)

series407.0ms (9.3%)

Error

0b

Counts

4 → 29

Calls

4 calls:

121.0ms	(.f64 (.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re))) (*.f64 (sin.f64 im) (cbrt.f64 (exp.f64 re))))
92.0ms	(cbrt.f64 (exp.f64 re))
87.0ms	(cbrt.f64 (exp.f64 re))
84.0ms	(cbrt.f64 (exp.f64 re))

Compiler

Compiled 1007 to 609 computations (39.5% saved)

simplify115.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

340×	`*-commutative_binary64_691`
297×	`unswap-sqr_binary64_728`
215×	`exp-prod_binary64_812`
195×	`+-commutative_binary64_690`
192×	`log-prod_binary64_846`
165×	`times-frac_binary64_766`
157×	`cube-prod_binary64_788`
153×	`sqr-pow_binary64_732`
138×	`associate-+l+_binary64_693`
135×	`distribute-rgt-neg-in_binary64_718`
133×	`distribute-lft-neg-in_binary64_717`
132×	`exp-sum_binary64_806`
130×	`associate-l_binary64_701`
127×	`distribute-lft-out_binary64_711`
126×	`pow-sqr_binary64_733`
125×	`associate-r_binary64_700`
123×	`log-pow_binary64_849`
105×	`cancel-sign-sub-inv_binary64_726`
101×	`associate-+r+_binary64_692`
98×	`distribute-rgt-out_binary64_713`
95×	`distribute-rgt-in_binary64_710`
93×	`distribute-lft-in_binary64_709`
86×	`unpow3_binary64_826` `associate-/l*_binary64_705`
82×	`neg-mul-1_binary64_756`
78×	`neg-sub0_binary64_755`
77×	`sub-neg_binary64_753`
46×	`exp-to-pow_binary64_822`
44×	`count-2_binary64_708`
37×	`associate-/l/_binary64_707`
32×	`associate-/r/_binary64_706`
30×	`associate-*r/_binary64_702`
24×	`associate-/r*_binary64_704`
23×	`cube-mult_binary64_790`
21×	`swap-sqr_binary64_727`
18×	`pow-plus_binary64_823`
15×	`cube-unmult_binary64_797` `distribute-rgt1-in_binary64_716` `associate--r+_binary64_696`
12×	`associate-+l-_binary64_695`
11×	`rem-sqrt-square_binary64_773`
9×	`distribute-lft1-in_binary64_715`
8×	`distribute-neg-in_binary64_721` `distribute-lft-out--_binary64_712` `associate-+r-_binary64_694`
7×	`unpow1/3_binary64_827` `+-rgt-identity_binary64_745` `associate-*l/_binary64_703`
6×	`prod-exp_binary64_809` `distribute-rgt-out--_binary64_714`
5×	`sub0-neg_binary64_747` `associate--l+_binary64_697`
4×	`exp-lft-sqr_binary64_815` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800`
3×	`unpow2_binary64_825` `unsub-neg_binary64_754`
2×	`unpow1/2_binary64_824` `unpow1_binary64_818` `remove-double-neg_binary64_748`
1×	`1-exp_binary64_804` `rem-3cbrt-lft_binary64_785` `mul-1-neg_binary64_752` `/-rgt-identity_binary64_751` `-rgt-identity_binary64_750` `-lft-identity_binary64_749` `--rgt-identity_binary64_746` `distribute-lft-neg-out_binary64_719`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1023` `erf-erfc_binary64_1022` `erf-odd_binary64_1021` `if-if-and-not_binary64_1020` `if-if-and_binary64_1019` `if-if-or-not_binary64_1018` `if-if-or_binary64_1017` `if-not_binary64_1016` `if-same_binary64_1015` `if-false_binary64_1014` `if-true_binary64_1013` `not-gte_binary64_1012` `not-lte_binary64_1011` `not-gt_binary64_1010` `not-lt_binary64_1009` `gte-same_binary64_1008` `lte-same_binary64_1007` `gt-same_binary64_1006` `lt-same_binary64_1005` `sinh---cosh_binary64_952` `sinh-+-cosh_binary64_951` `sinh-cosh_binary64_950` `tanh-def-c_binary64_949` `tanh-def-b_binary64_948` `tanh-def-a_binary64_947` `cosh-def_binary64_946` `sinh-def_binary64_945` `tan-neg_binary64_892` `cos-neg_binary64_891` `sin-neg_binary64_890` `tan-0_binary64_889` `cos-0_binary64_888` `sin-0_binary64_887` `hang-m-tan_binary64_886` `hang-p-tan_binary64_885` `hang-m0-tan_binary64_884` `hang-p0-tan_binary64_883` `hang-0m-tan_binary64_882` `hang-0p-tan_binary64_881` `tan-+PI/2_binary64_880` `tan-+PI_binary64_879` `tan-PI_binary64_878` `tan-PI/3_binary64_877` `tan-PI/4_binary64_876` `tan-PI/6_binary64_875` `cos-+PI/2_binary64_874` `cos-+PI_binary64_873` `cos-PI_binary64_872` `cos-PI/2_binary64_871` `cos-PI/3_binary64_870` `cos-PI/4_binary64_869` `cos-PI/6_binary64_868` `sin-+PI/2_binary64_867` `sin-+PI_binary64_866` `sin-PI_binary64_865` `sin-PI/2_binary64_864` `sin-PI/3_binary64_863` `sin-PI/4_binary64_862` `sin-PI/6_binary64_861` `sub-1-sin_binary64_860` `sub-1-cos_binary64_859` `-1-add-sin_binary64_858` `-1-add-cos_binary64_857` `1-sub-sin_binary64_856` `1-sub-cos_binary64_855` `cos-sin-sum_binary64_854` `log-E_binary64_850` `log-rec_binary64_848` `log-div_binary64_847` `pow-base-0_binary64_844` `pow-base-1_binary64_820` `unpow0_binary64_819` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-cbrt_binary64_814` `exp-sqrt_binary64_813` `div-exp_binary64_811` `rec-exp_binary64_810` `exp-diff_binary64_808` `exp-neg_binary64_807` `e-exp-1_binary64_805` `exp-1-e_binary64_803` `exp-0_binary64_802` `cube-div_binary64_789` `cube-neg_binary64_787` `rem-3cbrt-rft_binary64_786` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `sqr-neg_binary64_774` `rem-square-sqrt_binary64_772` `div-sub_binary64_765` `+-lft-identity_binary64_744` `mul0-rgt_binary64_743` `mul0-lft_binary64_742` `div0_binary64_741` `*-inverses_binary64_740` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `difference-of-squares_binary64_729` `cancel-sign-sub_binary64_725` `distribute-neg-frac_binary64_724` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-rgt-neg-out_binary64_720` `associate--r-_binary64_699` `associate--l-_binary64_698`

Counts

84 → 52

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	91	1282
1	216	835
2	658	778
3	1203	768
4	2619	768
5	3820	768
6	4799	762
7	4833	762

prune41.0ms (0.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	52	4	56

Error

0b

Counts

56 → 4

Compiler

Compiled 720 to 245 computations (66% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (sin.f64 im) (exp.f64 re))
0.3b	(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3)
14.5b	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3))

rewrite66.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0b

Rules

9×	`add-sqr-sqrt_binary64_782`
8×	`pow1_binary64_821` `add-cbrt-cube_binary64_796` `cbrt-prod_binary64_791`
7×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
6×	`add-exp-log_binary64_798`
3×	`add-log-exp_binary64_799` `pow-unpow_binary64_837` `associate-l_binary64_701` `associate-r_binary64_700`
2×	`unpow-prod-down_binary64_839` `unpow3_binary64_826` `cube-mult_binary64_790` `cube-prod_binary64_788` `sqr-pow_binary64_732` `pow-prod-down_binary64_831` `pow-pow_binary64_832` `prod-exp_binary64_809` `pow-exp_binary64_828` `rem-cube-cbrt_binary64_783` `cbrt-unprod_binary64_793`
1×	`pow1/3_binary64_842` `rem-cbrt-cube_binary64_784` `pow-to-exp_binary64_829` `unswap-sqr_binary64_728` `*-commutative_binary64_691`

Counts

3 → 57

Calls

3 calls:

6.0ms	(*.f64 (sin.f64 im) (exp.f64 re))
6.0ms	(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3)
3.0ms	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3))

Compiler

Compiled 822 to 341 computations (58.5% saved)

series508.0ms (11.7%)

Error

0b

Counts

3 → 31

Calls

3 calls:

259.0ms	(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3)
115.0ms	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3))
110.0ms	(*.f64 (sin.f64 im) (exp.f64 re))

Compiler

Compiled 997 to 730 computations (26.8% saved)

simplify89.0ms (2%)

Algorithm

1×	egg-herbie

Rules

515×	`unswap-sqr_binary64_728`
416×	`sqr-pow_binary64_732`
304×	`*-commutative_binary64_691`
269×	`exp-prod_binary64_812`
260×	`log-prod_binary64_846`
215×	`cube-prod_binary64_788`
150×	`associate-+l+_binary64_693`
144×	`pow-sqr_binary64_733`
129×	`swap-sqr_binary64_727`
128×	`associate-r_binary64_700`
115×	`distribute-lft-out_binary64_711`
113×	`cancel-sign-sub-inv_binary64_726`
109×	`distribute-rgt-neg-in_binary64_718` `associate-l_binary64_701`
107×	`associate-+r+_binary64_692`
105×	`distribute-lft-neg-in_binary64_717`
73×	`sub-neg_binary64_753`
68×	`distribute-rgt-out_binary64_713`
64×	`neg-mul-1_binary64_756`
61×	`+-commutative_binary64_690`
60×	`neg-sub0_binary64_755`
51×	`unpow3_binary64_826`
50×	`associate-/l*_binary64_705`
40×	`distribute-rgt-in_binary64_710`
38×	`distribute-lft-in_binary64_709`
37×	`cube-mult_binary64_790` `rem-sqrt-square_binary64_773`
31×	`log-pow_binary64_849`
22×	`pow-plus_binary64_823`
16×	`cube-unmult_binary64_797`
14×	`*-lft-identity_binary64_749`
13×	`prod-exp_binary64_809` `*-rgt-identity_binary64_750` `count-2_binary64_708`
12×	`exp-sum_binary64_806` `distribute-lft-out--_binary64_712` `associate-/l/_binary64_707`
10×	`associate-+l-_binary64_695`
9×	`distribute-rgt-out--_binary64_714`
7×	`unpow1/2_binary64_824` `associate-*r/_binary64_702`
6×	`+-rgt-identity_binary64_745` `associate-+r-_binary64_694`
5×	`rem-log-exp_binary64_801` `sub0-neg_binary64_747` `distribute-rgt1-in_binary64_716`
4×	`rem-cbrt-cube_binary64_784` `associate--l+_binary64_697` `associate--r+_binary64_696`
3×	`exp-to-pow_binary64_822` `unsub-neg_binary64_754` `associate-*l/_binary64_703`
2×	`unpow1_binary64_818` `/-rgt-identity_binary64_751` `associate-/r/_binary64_706`
1×	`unpow2_binary64_825` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-exp-log_binary64_800` `rem-3cbrt-lft_binary64_785` `sqr-abs_binary64_775` `times-frac_binary64_766` `distribute-lft1-in_binary64_715`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1023` `erf-erfc_binary64_1022` `erf-odd_binary64_1021` `if-if-and-not_binary64_1020` `if-if-and_binary64_1019` `if-if-or-not_binary64_1018` `if-if-or_binary64_1017` `if-not_binary64_1016` `if-same_binary64_1015` `if-false_binary64_1014` `if-true_binary64_1013` `not-gte_binary64_1012` `not-lte_binary64_1011` `not-gt_binary64_1010` `not-lt_binary64_1009` `gte-same_binary64_1008` `lte-same_binary64_1007` `gt-same_binary64_1006` `lt-same_binary64_1005` `sinh---cosh_binary64_952` `sinh-+-cosh_binary64_951` `sinh-cosh_binary64_950` `tanh-def-c_binary64_949` `tanh-def-b_binary64_948` `tanh-def-a_binary64_947` `cosh-def_binary64_946` `sinh-def_binary64_945` `tan-neg_binary64_892` `cos-neg_binary64_891` `sin-neg_binary64_890` `tan-0_binary64_889` `cos-0_binary64_888` `sin-0_binary64_887` `hang-m-tan_binary64_886` `hang-p-tan_binary64_885` `hang-m0-tan_binary64_884` `hang-p0-tan_binary64_883` `hang-0m-tan_binary64_882` `hang-0p-tan_binary64_881` `tan-+PI/2_binary64_880` `tan-+PI_binary64_879` `tan-PI_binary64_878` `tan-PI/3_binary64_877` `tan-PI/4_binary64_876` `tan-PI/6_binary64_875` `cos-+PI/2_binary64_874` `cos-+PI_binary64_873` `cos-PI_binary64_872` `cos-PI/2_binary64_871` `cos-PI/3_binary64_870` `cos-PI/4_binary64_869` `cos-PI/6_binary64_868` `sin-+PI/2_binary64_867` `sin-+PI_binary64_866` `sin-PI_binary64_865` `sin-PI/2_binary64_864` `sin-PI/3_binary64_863` `sin-PI/4_binary64_862` `sin-PI/6_binary64_861` `sub-1-sin_binary64_860` `sub-1-cos_binary64_859` `-1-add-sin_binary64_858` `-1-add-cos_binary64_857` `1-sub-sin_binary64_856` `1-sub-cos_binary64_855` `cos-sin-sum_binary64_854` `log-E_binary64_850` `log-rec_binary64_848` `log-div_binary64_847` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `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` `exp-diff_binary64_808` `exp-neg_binary64_807` `e-exp-1_binary64_805` `exp-0_binary64_802` `cube-div_binary64_789` `cube-neg_binary64_787` `rem-3cbrt-rft_binary64_786` `rem-cube-cbrt_binary64_783` `sqr-neg_binary64_774` `rem-square-sqrt_binary64_772` `div-sub_binary64_765` `mul-1-neg_binary64_752` `remove-double-neg_binary64_748` `--rgt-identity_binary64_746` `+-lft-identity_binary64_744` `mul0-rgt_binary64_743` `mul0-lft_binary64_742` `div0_binary64_741` `-inverses_binary64_740` `+-inverses_binary64_739` `lft-mult-inverse_binary64_738` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `difference-of-sqr--1_binary64_731` `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-neg-in_binary64_721` `distribute-rgt-neg-out_binary64_720` `distribute-lft-neg-out_binary64_719` `associate-/r_binary64_704` `associate--r-_binary64_699` `associate--l-_binary64_698`

Counts

88 → 67

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	115	1205
1	254	1141
2	842	1077
3	1752	1031
4	4059	1028
5	5246	1028

prune49.0ms (1.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	67	4	71

Error

0b

Counts

71 → 4

Compiler

Compiled 759 to 331 computations (56.4% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 re (log.f64 (sin.f64 im)))
0.4b	(log.f64 (sin.f64 im))
1.1b	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))

rewrite47.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0b

Rules

12×	`*-un-lft-identity_binary64_760`
6×	`pow1_binary64_821` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `add-log-exp_binary64_799` `log-prod_binary64_846`
5×	`exp-prod_binary64_812`
4×	`distribute-lft-out_binary64_711` `add-exp-log_binary64_798`
3×	`log-pow_binary64_849` `add-cbrt-cube_binary64_796` `associate-+r+_binary64_692`
2×	`sum-log_binary64_851` `rem-exp-log_binary64_800`
1×	`exp-sum_binary64_806` `rem-log-exp_binary64_801` `flip3-+_binary64_763` `flip-+_binary64_734` `+-commutative_binary64_690`

Counts

3 → 43

Calls

3 calls:

5.0ms	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
5.0ms	(+.f64 re (log.f64 (sin.f64 im)))
2.0ms	(log.f64 (sin.f64 im))

Compiler

Compiled 493 to 145 computations (70.6% saved)

series422.0ms (9.7%)

Error

0b

Counts

3 → 23

Calls

3 calls:

201.0ms	(+.f64 re (log.f64 (sin.f64 im)))
139.0ms	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
70.0ms	(log.f64 (sin.f64 im))

Compiler

Compiled 492 to 319 computations (35.2% saved)

simplify129.0ms (3%)

Algorithm

1×	egg-herbie

Rules

467×	`associate-l_binary64_701`
426×	`distribute-rgt-in_binary64_710`
353×	`distribute-lft-in_binary64_709`
349×	`cancel-sign-sub-inv_binary64_726`
309×	`associate-r_binary64_700`
229×	`distribute-rgt-out_binary64_713`
221×	`distribute-rgt-neg-in_binary64_718`
201×	`distribute-lft-neg-in_binary64_717`
199×	`unsub-neg_binary64_754`
149×	`neg-mul-1_binary64_756` `unswap-sqr_binary64_728`
139×	`neg-sub0_binary64_755`
138×	`distribute-lft-out_binary64_711`
125×	`*-commutative_binary64_691`
120×	`prod-exp_binary64_809`
116×	`associate-+l+_binary64_693`
92×	`associate-+r+_binary64_692`
82×	`sub-neg_binary64_753`
77×	`exp-prod_binary64_812`
66×	`exp-sum_binary64_806`
64×	`associate--r+_binary64_696`
61×	`sqr-pow_binary64_732` `associate-+l-_binary64_695`
55×	`log-pow_binary64_849`
50×	`+-commutative_binary64_690`
44×	`log-prod_binary64_846`
43×	`distribute-rgt-out--_binary64_714`
34×	`distribute-lft-neg-out_binary64_719` `distribute-lft-out--_binary64_712`
31×	`distribute-rgt-neg-out_binary64_720`
28×	`pow-plus_binary64_823`
27×	`unpow3_binary64_826` `associate-+r-_binary64_694`
23×	`exp-to-pow_binary64_822`
20×	`cube-unmult_binary64_797` `cube-prod_binary64_788` `associate--l+_binary64_697`
18×	`distribute-neg-in_binary64_721`
16×	`distribute-rgt1-in_binary64_716`
15×	`sub0-neg_binary64_747` `pow-sqr_binary64_733`
10×	`+-rgt-identity_binary64_745` `associate--r-_binary64_699`
9×	`distribute-lft1-in_binary64_715` `count-2_binary64_708`
6×	`associate-/l/_binary64_707`
5×	`mul0-rgt_binary64_743` `mul0-lft_binary64_742` `associate-/l*_binary64_705`
4×	`rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `cube-mult_binary64_790` `distribute-neg-out_binary64_722` `associate-*r/_binary64_702` `associate--l-_binary64_698`
3×	`unpow1_binary64_818` `rem-sqrt-square_binary64_773` `cancel-sign-sub_binary64_725`
2×	`log-div_binary64_847` `unpow2_binary64_825` `unpow1/2_binary64_824` `exp-diff_binary64_808` `sqr-neg_binary64_774` `difference-of-squares_binary64_729` `swap-sqr_binary64_727`
1×	`log-E_binary64_850` `log-rec_binary64_848` `exp-lft-sqr_binary64_815` `1-exp_binary64_804` `exp-1-e_binary64_803` `cube-neg_binary64_787` `-rgt-identity_binary64_750` `-lft-identity_binary64_749` `remove-double-neg_binary64_748` `associate-*l/_binary64_703`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1023` `erf-erfc_binary64_1022` `erf-odd_binary64_1021` `if-if-and-not_binary64_1020` `if-if-and_binary64_1019` `if-if-or-not_binary64_1018` `if-if-or_binary64_1017` `if-not_binary64_1016` `if-same_binary64_1015` `if-false_binary64_1014` `if-true_binary64_1013` `not-gte_binary64_1012` `not-lte_binary64_1011` `not-gt_binary64_1010` `not-lt_binary64_1009` `gte-same_binary64_1008` `lte-same_binary64_1007` `gt-same_binary64_1006` `lt-same_binary64_1005` `sinh---cosh_binary64_952` `sinh-+-cosh_binary64_951` `sinh-cosh_binary64_950` `tanh-def-c_binary64_949` `tanh-def-b_binary64_948` `tanh-def-a_binary64_947` `cosh-def_binary64_946` `sinh-def_binary64_945` `tan-neg_binary64_892` `cos-neg_binary64_891` `sin-neg_binary64_890` `tan-0_binary64_889` `cos-0_binary64_888` `sin-0_binary64_887` `hang-m-tan_binary64_886` `hang-p-tan_binary64_885` `hang-m0-tan_binary64_884` `hang-p0-tan_binary64_883` `hang-0m-tan_binary64_882` `hang-0p-tan_binary64_881` `tan-+PI/2_binary64_880` `tan-+PI_binary64_879` `tan-PI_binary64_878` `tan-PI/3_binary64_877` `tan-PI/4_binary64_876` `tan-PI/6_binary64_875` `cos-+PI/2_binary64_874` `cos-+PI_binary64_873` `cos-PI_binary64_872` `cos-PI/2_binary64_871` `cos-PI/3_binary64_870` `cos-PI/4_binary64_869` `cos-PI/6_binary64_868` `sin-+PI/2_binary64_867` `sin-+PI_binary64_866` `sin-PI_binary64_865` `sin-PI/2_binary64_864` `sin-PI/3_binary64_863` `sin-PI/4_binary64_862` `sin-PI/6_binary64_861` `sub-1-sin_binary64_860` `sub-1-cos_binary64_859` `-1-add-sin_binary64_858` `-1-add-cos_binary64_857` `1-sub-sin_binary64_856` `1-sub-cos_binary64_855` `cos-sin-sum_binary64_854` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `pow-base-1_binary64_820` `unpow0_binary64_819` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-cbrt_binary64_814` `exp-sqrt_binary64_813` `div-exp_binary64_811` `rec-exp_binary64_810` `exp-neg_binary64_807` `e-exp-1_binary64_805` `exp-0_binary64_802` `cube-div_binary64_789` `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` `times-frac_binary64_766` `div-sub_binary64_765` `mul-1-neg_binary64_752` `/-rgt-identity_binary64_751` `--rgt-identity_binary64_746` `+-lft-identity_binary64_744` `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` `distribute-neg-frac_binary64_724` `distribute-frac-neg_binary64_723` `associate-/r/_binary64_706` `associate-/r_binary64_704`

Counts

66 → 41

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	659
1	163	607
2	335	597
3	825	594
4	2111	594
5	4441	594
6	4890	594
7	4993	594
8	4933	594

prune28.0ms (0.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	41	4	45

Error

0b

Counts

45 → 4

Compiler

Compiled 376 to 108 computations (71.3% saved)

regimes142.0ms (3.3%)

Accuracy

Total 0.0b remaining (62.8%)

Threshold costs 0.0b (62.8%)

Compiler

Compiled 792 to 570 computations (28% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1× *-commutative_binary64_691

0× not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64_1020 if-if-and_binary64_1019 if-if-or-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 neg-mul-1_binary64_756 neg-sub0_binary64_755 unsub-neg_binary64_754 sub-neg_binary64_753 mul-1-neg_binary64_752 /-rgt-identity_binary64_751 *-rgt-identity_binary64_750 *-lft-identity_binary64_749 remove-double-neg_binary64_748 sub0-neg_binary64_747 --rgt-identity_binary64_746 +-rgt-identity_binary64_745 +-lft-identity_binary64_744 cancel-sign-sub-inv_binary64_726 cancel-sign-sub_binary64_725 distribute-neg-frac_binary64_724 distribute-frac-neg_binary64_723 distribute-neg-out_binary64_722 distribute-neg-in_binary64_721 distribute-rgt-neg-out_binary64_720 distribute-lft-neg-out_binary64_719 distribute-rgt-neg-in_binary64_718 distribute-lft-neg-in_binary64_717 +-commutative_binary64_690

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8
2	7	8

end0.0ms (0%)

sample1.6s (37.3%)

Algorithm

1×

intervals

Results

410.0ms	5657×	body	128	valid
324.0ms	1366×	body	1024	valid
106.0ms	648×	body	1024	invalid
88.0ms	643×	body	512	valid
41.0ms	906×	body	128	invalid
40.0ms	335×	body	512	invalid
29.0ms	334×	body	256	valid
14.0ms	167×	body	256	invalid

Compiler

Compiled 165 to 121 computations (26.7% saved)

Details

analyze281.0ms (6.5%)

sample39.0ms (0.9%)

simplify9.0ms (0.2%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite24.0ms (0.6%)

series116.0ms (2.7%)

simplify97.0ms (2.2%)

prune17.0ms (0.4%)

localize8.0ms (0.2%)

rewrite70.0ms (1.6%)

series407.0ms (9.3%)

simplify115.0ms (2.6%)

prune41.0ms (0.9%)

localize9.0ms (0.2%)

rewrite66.0ms (1.5%)

series508.0ms (11.7%)

simplify89.0ms (2%)

prune49.0ms (1.1%)

localize6.0ms (0.1%)

rewrite47.0ms (1.1%)

series422.0ms (9.7%)

simplify129.0ms (3%)

prune28.0ms (0.6%)

regimes142.0ms (3.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.6s (37.3%)

Profiling