Details

analyze891.0ms (9.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

924×	`unswap-sqr_binary64_728`
430×	`associate-/l*_binary64_705`
362×	`exp-prod_binary64_812`
296×	`*-commutative_binary64_691`
278×	`sqr-pow_binary64_732`
264×	`associate-/r*_binary64_704`
222×	`associate-/l/_binary64_707`
209×	`associate-/r/_binary64_706`
201×	`pow-sqr_binary64_733`
198×	`prod-exp_binary64_809`
179×	`associate-l_binary64_701`
172×	`rec-exp_binary64_810`
168×	`distribute-neg-frac_binary64_724`
165×	`distribute-rgt-in_binary64_710`
160×	`swap-sqr_binary64_727` `distribute-rgt-neg-in_binary64_718`
152×	`div-sub_binary64_765`
126×	`associate-r_binary64_700`
103×	`rem-sqrt-square_binary64_773`
92×	`div-exp_binary64_811`
89×	`distribute-lft-neg-in_binary64_717`
81×	`cube-prod_binary64_788` `distribute-rgt-out_binary64_713`
80×	`pow-plus_binary64_823`
72×	`associate-*l/_binary64_703`
69×	`associate-*r/_binary64_702`
62×	`unpow3_binary64_826`
61×	`cancel-sign-sub-inv_binary64_726`
44×	`exp-diff_binary64_808`
43×	`*-lft-identity_binary64_749`
41×	`neg-mul-1_binary64_756`
39×	`exp-sum_binary64_806` `sub-neg_binary64_753`
37×	`distribute-lft-neg-out_binary64_719`
35×	`neg-sub0_binary64_755`
34×	`distribute-neg-in_binary64_721`
33×	`distribute-rgt-neg-out_binary64_720`
29×	`exp-sqrt_binary64_813`
26×	`cube-mult_binary64_790` `distribute-lft-in_binary64_709`
24×	`/-rgt-identity_binary64_751`
23×	`distribute-rgt-out--_binary64_714`
17×	`exp-lft-sqr_binary64_815` `distribute-frac-neg_binary64_723`
15×	`associate-+l-_binary64_695`
14×	`cube-unmult_binary64_797`
13×	`unpow1_binary64_818`
12×	`remove-double-neg_binary64_748`
11×	`unpow2_binary64_825` `unpow1/2_binary64_824` `associate--r+_binary64_696`
10×	`cube-div_binary64_789` `unsub-neg_binary64_754` `*-rgt-identity_binary64_750` `distribute-neg-out_binary64_722` `distribute-lft-out_binary64_711`
7×	`+-rgt-identity_binary64_745`
6×	`times-frac_binary64_766` `+-commutative_binary64_690`
5×	`distribute-rgt1-in_binary64_716`
2×	`unpow-1_binary64_817` `exp-lft-cube_binary64_816` `remove-double-div_binary64_736` `distribute-lft1-in_binary64_715`
1×	`cos-neg_binary64_891` `exp-neg_binary64_807` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-square-sqrt_binary64_772` `sub0-neg_binary64_747` `--rgt-identity_binary64_746` `distribute-lft-out--_binary64_712` `associate--l-_binary64_698` `associate-+r-_binary64_694` `associate-+l+_binary64_693` `associate-+r+_binary64_692`
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` `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` `exp-to-pow_binary64_822` `pow-base-1_binary64_820` `unpow0_binary64_819` `exp-cbrt_binary64_814` `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` `mul-1-neg_binary64_752` `+-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` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `difference-of-squares_binary64_729` `cancel-sign-sub_binary64_725` `count-2_binary64_708` `associate--r-_binary64_699` `associate--l+_binary64_697`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	16	17
2	25	15
3	36	15
4	57	15
5	101	15
6	202	15
7	431	15
8	694	15
9	1973	15
10	2876	15
11	3314	15
12	3755	15
13	4466	15
14	4884	15
15	4785	15
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
50%	50%	0%	6
50%	50%	0%	7
50%	50%	0%	8
50%	50%	0%	9
50%	50%	0%	10
50%	50%	0%	11
50%	50%	0%	12
50%	50%	0%	13
50%	49.9%	0.1%	14

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample213.0ms (2.2%)

Algorithm

1×

intervals

Results

107.0ms	63×	body	8192	exit
47.0ms	129×	body	1024	valid
14.0ms	61×	body	512	valid
12.0ms	49×	body	1024	nan
6.0ms	43×	body	256	valid
4.0ms	23×	body	512	nan
2.0ms	16×	body	256	nan
2.0ms	20×	body	128	valid
1.0ms	3×	body	2048	valid
1.0ms	19×	body	128	nan

Compiler

Compiled 21 to 18 computations (14.3% saved)

simplify113.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

924×	`unswap-sqr_binary64_728`
430×	`associate-/l*_binary64_705`
362×	`exp-prod_binary64_812`
296×	`*-commutative_binary64_691`
278×	`sqr-pow_binary64_732`
264×	`associate-/r*_binary64_704`
222×	`associate-/l/_binary64_707`
209×	`associate-/r/_binary64_706`
201×	`pow-sqr_binary64_733`
198×	`prod-exp_binary64_809`
179×	`associate-l_binary64_701`
172×	`rec-exp_binary64_810`
168×	`distribute-neg-frac_binary64_724`
165×	`distribute-rgt-in_binary64_710`
160×	`swap-sqr_binary64_727` `distribute-rgt-neg-in_binary64_718`
152×	`div-sub_binary64_765`
126×	`associate-r_binary64_700`
103×	`rem-sqrt-square_binary64_773`
92×	`div-exp_binary64_811`
89×	`distribute-lft-neg-in_binary64_717`
81×	`cube-prod_binary64_788` `distribute-rgt-out_binary64_713`
80×	`pow-plus_binary64_823`
72×	`associate-*l/_binary64_703`
69×	`associate-*r/_binary64_702`
62×	`unpow3_binary64_826`
61×	`cancel-sign-sub-inv_binary64_726`
44×	`exp-diff_binary64_808`
43×	`*-lft-identity_binary64_749`
41×	`neg-mul-1_binary64_756`
39×	`exp-sum_binary64_806` `sub-neg_binary64_753`
37×	`distribute-lft-neg-out_binary64_719`
35×	`neg-sub0_binary64_755`
34×	`distribute-neg-in_binary64_721`
33×	`distribute-rgt-neg-out_binary64_720`
29×	`exp-sqrt_binary64_813`
26×	`cube-mult_binary64_790` `distribute-lft-in_binary64_709`
24×	`/-rgt-identity_binary64_751`
23×	`distribute-rgt-out--_binary64_714`
17×	`exp-lft-sqr_binary64_815` `distribute-frac-neg_binary64_723`
15×	`associate-+l-_binary64_695`
14×	`cube-unmult_binary64_797`
13×	`unpow1_binary64_818`
12×	`remove-double-neg_binary64_748`
11×	`unpow2_binary64_825` `unpow1/2_binary64_824` `associate--r+_binary64_696`
10×	`cube-div_binary64_789` `unsub-neg_binary64_754` `*-rgt-identity_binary64_750` `distribute-neg-out_binary64_722` `distribute-lft-out_binary64_711`
7×	`+-rgt-identity_binary64_745`
6×	`times-frac_binary64_766` `+-commutative_binary64_690`
5×	`distribute-rgt1-in_binary64_716`
2×	`unpow-1_binary64_817` `exp-lft-cube_binary64_816` `remove-double-div_binary64_736` `distribute-lft1-in_binary64_715`
1×	`cos-neg_binary64_891` `exp-neg_binary64_807` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-square-sqrt_binary64_772` `sub0-neg_binary64_747` `--rgt-identity_binary64_746` `distribute-lft-out--_binary64_712` `associate--l-_binary64_698` `associate-+r-_binary64_694` `associate-+l+_binary64_693` `associate-+r+_binary64_692`
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` `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` `exp-to-pow_binary64_822` `pow-base-1_binary64_820` `unpow0_binary64_819` `exp-cbrt_binary64_814` `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` `mul-1-neg_binary64_752` `+-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` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `difference-of-squares_binary64_729` `cancel-sign-sub_binary64_725` `count-2_binary64_708` `associate--r-_binary64_699` `associate--l+_binary64_697`

Counts

1 → 1

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	16	17
2	25	15
3	36	15
4	57	15
5	101	15
6	202	15
7	431	15
8	694	15
9	1973	15
10	2876	15
11	3314	15
12	3755	15
13	4466	15
14	4884	15
15	4785	15

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

59.9b

Counts

2 → 1

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (cos.f64 x))
0.2b	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
3.6b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite56.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

59.9b

Rules

13×	`add-sqr-sqrt_binary64_782`
12×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
9×	`times-frac_binary64_766`
5×	`add-cbrt-cube_binary64_796`
4×	`pow1_binary64_821` `add-exp-log_binary64_798`
3×	`add-log-exp_binary64_799` `associate-/l_binary64_705` `associate-/r_binary64_704` `sqrt-prod_binary64_776`
1×	`div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773`

Counts

3 → 47

Calls

3 calls:

4.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
2.0ms	(sqrt.f64 (cos.f64 x))
1.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Compiler

Compiled 798 to 161 computations (79.8% saved)

series136.0ms (1.4%)

Error

59.9b

Counts

3 → 14

Calls

3 calls:

74.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
33.0ms	(sqrt.f64 (cos.f64 x))
17.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Compiler

Compiled 472 to 230 computations (51.3% saved)

simplify105.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

718×	`distribute-rgt-neg-in_binary64_718`
614×	`div-sub_binary64_765`
429×	`associate-l_binary64_701`
412×	`cancel-sign-sub-inv_binary64_726`
399×	`associate-r_binary64_700`
283×	`associate-/l*_binary64_705`
207×	`sub-neg_binary64_753`
183×	`associate-/l/_binary64_707`
182×	`unswap-sqr_binary64_728`
177×	`distribute-neg-frac_binary64_724`
125×	`*-commutative_binary64_691`
121×	`distribute-lft-neg-in_binary64_717`
114×	`associate-/r*_binary64_704`
112×	`distribute-neg-in_binary64_721`
100×	`distribute-lft-neg-out_binary64_719`
89×	`neg-mul-1_binary64_756` `associate-*l/_binary64_703`
83×	`neg-sub0_binary64_755`
81×	`associate-/r/_binary64_706`
68×	`distribute-rgt-out--_binary64_714`
66×	`distribute-rgt-neg-out_binary64_720`
63×	`associate-*r/_binary64_702`
61×	`times-frac_binary64_766`
60×	`associate-+l-_binary64_695`
56×	`exp-prod_binary64_812`
53×	`unsub-neg_binary64_754`
52×	`distribute-rgt-out_binary64_713`
41×	`sqr-pow_binary64_732`
39×	`+-commutative_binary64_690`
35×	`associate--l+_binary64_697` `associate-+l+_binary64_693`
32×	`sub0-neg_binary64_747` `distribute-lft-out_binary64_711`
29×	`distribute-lft-out--_binary64_712`
26×	`*-lft-identity_binary64_749`
24×	`cube-prod_binary64_788` `associate-+r-_binary64_694`
22×	`distribute-rgt-in_binary64_710`
18×	`associate-+r+_binary64_692`
17×	`exp-sum_binary64_806` `remove-double-neg_binary64_748` `+-rgt-identity_binary64_745` `distribute-lft-in_binary64_709` `associate--r+_binary64_696`
16×	`pow-plus_binary64_823`
15×	`associate--l-_binary64_698`
14×	`*-rgt-identity_binary64_750`
13×	`cube-unmult_binary64_797`
12×	`exp-diff_binary64_808` `/-rgt-identity_binary64_751` `cancel-sign-sub_binary64_725`
10×	`log-prod_binary64_846`
9×	`mul0-rgt_binary64_743` `mul0-lft_binary64_742`
7×	`log-pow_binary64_849` `unpow3_binary64_826` `--rgt-identity_binary64_746`
6×	`log-div_binary64_847` `pow-sqr_binary64_733` `distribute-rgt1-in_binary64_716` `associate--r-_binary64_699`
5×	`exp-to-pow_binary64_822` `rem-sqrt-square_binary64_773`
4×	`cube-div_binary64_789`
3×	`prod-exp_binary64_809` `rem-log-exp_binary64_801` `swap-sqr_binary64_727` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `count-2_binary64_708`
2×	`cube-mult_binary64_790` `cube-neg_binary64_787` `sqr-neg_binary64_774` `div0_binary64_741` `difference-of-sqr-1_binary64_730` `distribute-lft1-in_binary64_715`
1×	`cos-neg_binary64_891` `log-rec_binary64_848` `unpow2_binary64_825` `unpow1/2_binary64_824` `unpow1_binary64_818` `exp-lft-sqr_binary64_815` `rec-exp_binary64_810` `exp-neg_binary64_807` `1-exp_binary64_804` `rem-exp-log_binary64_800` `rem-square-sqrt_binary64_772` `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` `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` `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` `e-exp-1_binary64_805` `exp-1-e_binary64_803` `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` `+-lft-identity_binary64_744` `*-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-squares_binary64_729`

Counts

61 → 18

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	1172
1	183	1050
2	400	1035
3	969	1024
4	3290	1024
5	4578	1024
6	5319	1024

prune23.0ms (0.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	14	4	18
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	15	4	19

Error

59.9b

Counts

19 → 4

Compiler

Compiled 308 to 123 computations (60.1% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
1.2b	(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
1.4b	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
3.6b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite77.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

59.9b

Rules

16×	`*-un-lft-identity_binary64_760`
14×	`add-sqr-sqrt_binary64_782`
10×	`add-cube-cbrt_binary64_795`
9×	`log-prod_binary64_846`
7×	`pow1_binary64_821` `add-log-exp_binary64_799` `exp-sum_binary64_806`
6×	`cancel-sign-sub-inv_binary64_726` `associate--l+_binary64_697` `exp-prod_binary64_812`
5×	`add-exp-log_binary64_798`
4×	`add-cbrt-cube_binary64_796` `distribute-lft-out--_binary64_712`
3×	`log-pow_binary64_849`
2×	`diff-log_binary64_852` `sub-neg_binary64_753` `difference-of-squares_binary64_729` `rem-exp-log_binary64_800`
1×	`rem-log-exp_binary64_801` `flip3--_binary64_764` `flip--_binary64_735` `exp-diff_binary64_808`

Counts

4 → 62

Calls

4 calls:

8.0ms	(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
5.0ms	(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
1.0ms	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
1.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Compiler

Compiled 1120 to 218 computations (80.5% saved)

series389.0ms (4%)

Error

23.9b

Counts

4 → 18

Calls

4 calls:

169.0ms	(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
130.0ms	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
51.0ms	(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
21.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Compiler

Compiled 582 to 280 computations (51.9% saved)

simplify138.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

418×	`cancel-sign-sub-inv_binary64_726`
407×	`times-frac_binary64_766`
401×	`unsub-neg_binary64_754`
328×	`*-commutative_binary64_691`
252×	`distribute-rgt-in_binary64_710`
217×	`distribute-lft-in_binary64_709`
157×	`neg-mul-1_binary64_756`
156×	`associate-r_binary64_700`
155×	`exp-sum_binary64_806`
147×	`neg-sub0_binary64_755`
126×	`associate-l_binary64_701`
103×	`distribute-rgt-neg-in_binary64_718` `associate-+l+_binary64_693`
100×	`distribute-lft-neg-in_binary64_717`
97×	`associate-+r+_binary64_692`
93×	`log-prod_binary64_846`
90×	`sub-neg_binary64_753`
87×	`exp-prod_binary64_812`
73×	`associate-+l-_binary64_695`
71×	`distribute-rgt-out--_binary64_714`
70×	`log-pow_binary64_849`
65×	`sqr-pow_binary64_732`
63×	`distribute-rgt-out_binary64_713`
62×	`exp-diff_binary64_808` `unswap-sqr_binary64_728`
59×	`+-commutative_binary64_690`
54×	`distribute-lft-neg-out_binary64_719`
50×	`distribute-rgt-neg-out_binary64_720`
46×	`associate-+r-_binary64_694`
42×	`cube-prod_binary64_788`
41×	`associate--r+_binary64_696`
36×	`associate-/l*_binary64_705` `associate--l+_binary64_697`
34×	`distribute-lft-out_binary64_711`
28×	`distribute-lft-out--_binary64_712`
27×	`prod-exp_binary64_809` `pow-sqr_binary64_733`
24×	`associate-*r/_binary64_702`
16×	`unpow3_binary64_826`
15×	`log-div_binary64_847`
14×	`associate-*l/_binary64_703` `associate--r-_binary64_699`
13×	`div-exp_binary64_811` `cube-mult_binary64_790` `swap-sqr_binary64_727`
12×	`+-rgt-identity_binary64_745` `associate-/l/_binary64_707`
11×	`cube-unmult_binary64_797` `div-sub_binary64_765` `sub0-neg_binary64_747` `associate--l-_binary64_698`
10×	`rem-log-exp_binary64_801` `distribute-neg-in_binary64_721` `associate-/r*_binary64_704`
8×	`pow-plus_binary64_823` `mul0-rgt_binary64_743` `mul0-lft_binary64_742`
7×	`log-rec_binary64_848` `exp-to-pow_binary64_822` `distribute-rgt1-in_binary64_716` `associate-/r/_binary64_706`
6×	`difference-of-squares_binary64_729`
5×	`exp-neg_binary64_807` `rem-exp-log_binary64_800` `sqr-neg_binary64_774`
4×	`cube-div_binary64_789` `count-2_binary64_708`
3×	`distribute-frac-neg_binary64_723` `distribute-lft1-in_binary64_715`
2×	`rem-sqrt-square_binary64_773` `mul-1-neg_binary64_752` `cancel-sign-sub_binary64_725`
1×	`unpow2_binary64_825` `unpow1/2_binary64_824` `unpow1_binary64_818` `1-exp_binary64_804` `exp-1-e_binary64_803` `cube-neg_binary64_787` `rem-3cbrt-lft_binary64_785` `rem-square-sqrt_binary64_772` `difference-of-sqr-1_binary64_730` `distribute-neg-out_binary64_722`
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` `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` `rec-exp_binary64_810` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-3cbrt-rft_binary64_786` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `/-rgt-identity_binary64_751` `-rgt-identity_binary64_750` `-lft-identity_binary64_749` `remove-double-neg_binary64_748` `--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` `distribute-neg-frac_binary64_724`

Counts

80 → 36

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	93	1476
1	186	1329
2	397	1303
3	1237	1281
4	3349	1281
5	4957	1281
6	4999	1281
7	4981	1281

prune42.0ms (0.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	31	5	36
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	34	6	40

Error

23.9b

Counts

40 → 6

Compiler

Compiled 558 to 149 computations (73.3% saved)

localize3.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

23.9b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 23.9b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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_691 +-commutative_binary64_690

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune6.0ms (0.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	5	5
Picked	1	1
Done	0	0
Total	6	6

Error

23.9b

Counts

6 → 6

Compiler

Compiled 60 to 47 computations (21.7% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) 3)))
1.2b	(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
1.4b	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
3.6b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite103.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

23.9b

Rules

21×	`exp-prod_binary64_812`
20×	`*-un-lft-identity_binary64_760`
18×	`cbrt-prod_binary64_791`
17×	`add-sqr-sqrt_binary64_782`
11×	`add-cube-cbrt_binary64_795`
8×	`pow1_binary64_821`
6×	`add-log-exp_binary64_799` `log-prod_binary64_846` `distribute-lft-out--_binary64_712` `unpow-prod-down_binary64_839` `cube-prod_binary64_788`
5×	`add-exp-log_binary64_798`
4×	`add-cbrt-cube_binary64_796` `log-pow_binary64_849`
3×	`difference-of-squares_binary64_729` `cancel-sign-sub-inv_binary64_726` `associate--l+_binary64_697`
1×	`rem-log-exp_binary64_801` `diff-log_binary64_852` `flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735` `unpow3_binary64_826` `cube-mult_binary64_790` `sqr-pow_binary64_732` `rem-exp-log_binary64_800`

Counts

4 → 68

Calls

4 calls:

8.0ms	(exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) 3)))
5.0ms	(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
1.0ms	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
1.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Compiler

Compiled 1582 to 538 computations (66% saved)

series392.0ms (4.1%)

Error

23.9b

Counts

4 → 18

Calls

4 calls:

167.0ms	(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
138.0ms	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
53.0ms	(exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) 3)))
18.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Compiler

Compiled 681 to 389 computations (42.9% saved)

simplify125.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

445×	`*-commutative_binary64_691`
441×	`cancel-sign-sub-inv_binary64_726`
413×	`distribute-rgt-in_binary64_710`
378×	`distribute-lft-in_binary64_709`
287×	`times-frac_binary64_766`
203×	`associate-r_binary64_700`
181×	`neg-mul-1_binary64_756` `associate-l_binary64_701`
144×	`exp-sum_binary64_806`
127×	`exp-prod_binary64_812`
119×	`unswap-sqr_binary64_728` `associate-+l+_binary64_693`
113×	`associate-+r+_binary64_692`
111×	`distribute-rgt-neg-in_binary64_718`
104×	`distribute-lft-neg-in_binary64_717`
92×	`sub-neg_binary64_753`
89×	`distribute-rgt-out_binary64_713`
73×	`associate-+l-_binary64_695`
71×	`distribute-rgt-out--_binary64_714`
65×	`sqr-pow_binary64_732` `distribute-lft-neg-out_binary64_719`
57×	`log-pow_binary64_849` `distribute-rgt-neg-out_binary64_720`
54×	`distribute-lft-out_binary64_711`
52×	`exp-diff_binary64_808`
46×	`associate-+r-_binary64_694`
41×	`log-prod_binary64_846` `associate--r+_binary64_696`
38×	`unsub-neg_binary64_754` `+-commutative_binary64_690`
36×	`associate--l+_binary64_697`
32×	`neg-sub0_binary64_755`
31×	`cube-prod_binary64_788`
28×	`distribute-lft-out--_binary64_712`
27×	`prod-exp_binary64_809`
22×	`cube-unmult_binary64_797`
21×	`pow-plus_binary64_823`
19×	`pow-sqr_binary64_733`
18×	`rem-sqrt-square_binary64_773`
15×	`swap-sqr_binary64_727` `associate-/l_binary64_705` `associate-r/_binary64_702`
14×	`unpow3_binary64_826` `distribute-neg-in_binary64_721` `associate-*l/_binary64_703` `associate--r-_binary64_699`
13×	`div-exp_binary64_811` `rem-log-exp_binary64_801`
12×	`+-rgt-identity_binary64_745`
11×	`sub0-neg_binary64_747` `difference-of-squares_binary64_729` `associate--l-_binary64_698`
10×	`count-2_binary64_708`
9×	`cube-mult_binary64_790`
8×	`mul0-rgt_binary64_743` `mul0-lft_binary64_742`
7×	`div-sub_binary64_765` `distribute-rgt1-in_binary64_716`
6×	`log-div_binary64_847` `associate-/l/_binary64_707`
5×	`exp-to-pow_binary64_822` `sqr-neg_binary64_774` `associate-/r*_binary64_704`
4×	`log-rec_binary64_848` `exp-lft-sqr_binary64_815` `rem-cbrt-cube_binary64_784` `associate-/r/_binary64_706`
3×	`cube-div_binary64_789` `rem-square-sqrt_binary64_772` `distribute-lft1-in_binary64_715`
2×	`unpow2_binary64_825` `exp-neg_binary64_807` `mul-1-neg_binary64_752` `cancel-sign-sub_binary64_725`
1×	`unpow1/2_binary64_824` `unpow1_binary64_818` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-exp-log_binary64_800` `cube-neg_binary64_787` `rem-3cbrt-lft_binary64_785` `rem-cube-cbrt_binary64_783` `difference-of-sqr-1_binary64_730` `distribute-neg-out_binary64_722`
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` `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` `rec-exp_binary64_810` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-3cbrt-rft_binary64_786` `sqr-abs_binary64_775` `/-rgt-identity_binary64_751` `-rgt-identity_binary64_750` `-lft-identity_binary64_749` `remove-double-neg_binary64_748` `--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` `distribute-neg-frac_binary64_724` `distribute-frac-neg_binary64_723`

Counts

86 → 43

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	115	1589
1	207	1405
2	440	1379
3	1493	1365
4	3975	1353
5	4988	1353
6	4919	1353

prune46.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	43	6	49

Error

23.9b

Counts

49 → 6

Compiler

Compiled 808 to 250 computations (69.1% saved)

regimes154.0ms (1.6%)

Accuracy

Total 0.4b remaining (1.9%)

Threshold costs 0.4b (1.9%)

Compiler

Compiled 1376 to 810 computations (41.1% saved)

bsearch3.0ms (0%)

Compiler: Compiled 10 to 8 computations (20% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64_691`
1×	`if-if-or-not_binary64_1018` `1-exp_binary64_804` `neg-mul-1_binary64_756` `neg-sub0_binary64_755` `sub-neg_binary64_753` `+-commutative_binary64_690`
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_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` `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)

Iter	Nodes	Cost
0	22	75
1	30	75
2	32	75
3	33	75
4	32	75

end0.0ms (0%)

sample6.6s (68.4%)

Algorithm

1×

intervals

Results

2.6s	1557×	body	8192	exit
1.5s	4003×	body	1024	valid
433.0ms	1935×	body	512	valid
395.0ms	1542×	body	1024	nan
147.0ms	780×	body	512	nan
143.0ms	1020×	body	256	valid
99.0ms	169×	body	2048	valid
71.0ms	873×	body	128	valid
45.0ms	366×	body	256	nan
29.0ms	414×	body	128	nan

Compiler

Compiled 732 to 427 computations (41.7% saved)

Details

analyze891.0ms (9.2%)

sample213.0ms (2.2%)

simplify113.0ms (1.2%)

prune3.0ms (0%)

localize11.0ms (0.1%)

rewrite56.0ms (0.6%)

series136.0ms (1.4%)

simplify105.0ms (1.1%)

prune23.0ms (0.2%)

localize9.0ms (0.1%)

rewrite77.0ms (0.8%)

series389.0ms (4%)

simplify138.0ms (1.4%)

prune42.0ms (0.4%)

localize3.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.1%)

prune6.0ms (0.1%)

localize11.0ms (0.1%)

rewrite103.0ms (1.1%)

series392.0ms (4.1%)

simplify125.0ms (1.3%)

prune46.0ms (0.5%)

regimes154.0ms (1.6%)

bsearch3.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample6.6s (68.4%)

Profiling