Details

analyze839.0ms (4.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

610×	`sqr-pow_binary64_732`
410×	`associate-l_binary64_701`
402×	`pow-sqr_binary64_733`
400×	`associate-/l*_binary64_705`
362×	`*-commutative_binary64_691`
348×	`associate-/r*_binary64_704`
330×	`associate-r_binary64_700`
214×	`associate-/r/_binary64_706`
196×	`unswap-sqr_binary64_728` `associate-/l/_binary64_707`
192×	`cube-prod_binary64_788`
98×	`associate-*r/_binary64_702`
88×	`unpow3_binary64_826` `cube-mult_binary64_790`
84×	`div-sub_binary64_765`
76×	`associate-*l/_binary64_703`
40×	`neg-mul-1_binary64_756`
36×	`sub-neg_binary64_753`
32×	`*-lft-identity_binary64_749`
30×	`distribute-frac-neg_binary64_723`
28×	`pow-plus_binary64_823`
26×	`/-rgt-identity_binary64_751`
22×	`neg-sub0_binary64_755`
20×	`*-rgt-identity_binary64_750` `distribute-rgt-in_binary64_710`
18×	`rem-sqrt-square_binary64_773`
16×	`exp-prod_binary64_812`
12×	`unpow1/2_binary64_824` `distribute-rgt-neg-out_binary64_720` `distribute-lft-neg-out_binary64_719` `+-commutative_binary64_690`
10×	`unpow2_binary64_825` `unpow1_binary64_818`
8×	`cube-unmult_binary64_797` `remove-double-neg_binary64_748` `distribute-rgt-neg-in_binary64_718` `distribute-lft-in_binary64_709`
6×	`exp-diff_binary64_808` `exp-sum_binary64_806` `+-rgt-identity_binary64_745` `remove-double-div_binary64_736` `distribute-lft-neg-in_binary64_717` `associate--l-_binary64_698`
4×	`rec-exp_binary64_810` `cancel-sign-sub-inv_binary64_726`
2×	`exp-neg_binary64_807` `sub0-neg_binary64_747` `--rgt-identity_binary64_746` `associate--r+_binary64_696` `associate-+l-_binary64_695`
1×	`1-exp_binary64_804` `exp-1-e_binary64_803`
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` `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` `prod-exp_binary64_809` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `cube-div_binary64_789` `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` `times-frac_binary64_766` `unsub-neg_binary64_754` `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` `swap-sqr_binary64_727` `cancel-sign-sub_binary64_725` `distribute-neg-frac_binary64_724` `distribute-neg-out_binary64_722` `distribute-neg-in_binary64_721` `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` `count-2_binary64_708` `associate--r-_binary64_699` `associate--l+_binary64_697` `associate-+r-_binary64_694` `associate-+l+_binary64_693` `associate-+r+_binary64_692`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	31	26
2	65	22
3	146	22
4	377	22
5	1232	22
6	2371	22
7	2418	22
8	2614	22
9	3036	22
10	3852	22
11	4997	22
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
31.2%	68.7%	0.1%	5
31.2%	59.3%	9.5%	6
34.3%	54.6%	11%	7
34.3%	49.2%	16.5%	8
35.9%	46.4%	17.7%	9
35.9%	42.1%	22%	10
36.7%	40.6%	22.7%	11
36.7%	39.1%	24.2%	12
37.1%	38.3%	24.7%	13
37.1%	36.7%	26.2%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample381.0ms (2%)

Algorithm

1×

intervals

Results

286.0ms	165×	body	8192	exit
38.0ms	122×	body	1024	nan
13.0ms	256×	body	128	valid
11.0ms	66×	body	512	nan
3.0ms	35×	body	256	nan
0.0ms	7×	body	128	overflowed
0.0ms	6×	body	128	nan
0.0ms	4×	body	128	invalid

Compiler

Compiled 17 to 17 computations (0% saved)

simplify101.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

656×	`unswap-sqr_binary64_728`
607×	`times-frac_binary64_766`
542×	`sqr-pow_binary64_732`
393×	`pow-sqr_binary64_733`
205×	`associate-l_binary64_701`
200×	`associate-/l*_binary64_705`
181×	`*-commutative_binary64_691`
174×	`cube-prod_binary64_788` `associate-/r*_binary64_704`
167×	`unpow3_binary64_826`
165×	`associate-r_binary64_700`
107×	`associate-/r/_binary64_706`
98×	`associate-/l/_binary64_707`
85×	`cube-mult_binary64_790`
52×	`div-sub_binary64_765`
49×	`associate-*r/_binary64_702`
44×	`rem-sqrt-square_binary64_773`
38×	`associate-*l/_binary64_703`
29×	`neg-mul-1_binary64_756`
24×	`sub-neg_binary64_753`
23×	`distribute-frac-neg_binary64_723`
22×	`/-rgt-identity_binary64_751`
18×	`pow-plus_binary64_823`
17×	`distribute-rgt-in_binary64_710`
16×	`neg-sub0_binary64_755` `*-lft-identity_binary64_749`
12×	`distribute-rgt-neg-out_binary64_720`
11×	`cancel-sign-sub-inv_binary64_726` `distribute-lft-neg-out_binary64_719` `distribute-lft-neg-in_binary64_717`
10×	`*-rgt-identity_binary64_750` `distribute-rgt-neg-in_binary64_718`
8×	`exp-prod_binary64_812`
7×	`unpow1/2_binary64_824` `+-rgt-identity_binary64_745` `distribute-lft-in_binary64_709` `+-commutative_binary64_690`
6×	`cube-unmult_binary64_797`
5×	`unpow2_binary64_825` `unpow1_binary64_818`
4×	`remove-double-neg_binary64_748` `associate--l-_binary64_698`
3×	`exp-diff_binary64_808` `exp-sum_binary64_806` `remove-double-div_binary64_736`
2×	`rec-exp_binary64_810` `distribute-neg-frac_binary64_724` `associate--r+_binary64_696` `associate-+l-_binary64_695`
1×	`exp-neg_binary64_807` `1-exp_binary64_804` `exp-1-e_binary64_803` `cube-div_binary64_789` `sub0-neg_binary64_747` `--rgt-identity_binary64_746`
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` `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` `prod-exp_binary64_809` `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` `unsub-neg_binary64_754` `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` `swap-sqr_binary64_727` `cancel-sign-sub_binary64_725` `distribute-neg-out_binary64_722` `distribute-neg-in_binary64_721` `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` `count-2_binary64_708` `associate--r-_binary64_699` `associate--l+_binary64_697` `associate-+r-_binary64_694` `associate-+l+_binary64_693` `associate-+r+_binary64_692`

Counts

1 → 1

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	37	11
3	79	11
4	198	11
5	633	11
6	2299	11
7	2294	11
8	2404	11
9	2625	11
10	3051	11
11	3758	11
12	4990	11
13	4896	11

prune7.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.3b

Counts

2 → 2

Compiler

Compiled 22 to 17 computations (22.7% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
0.3b	(pow.f64 l (exp.f64 w))

rewrite55.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

12×	`add-sqr-sqrt_binary64_782`
7×	`add-cube-cbrt_binary64_795` `unpow-prod-down_binary64_839` `-un-lft-identity_binary64_760` `associate-r*_binary64_700`
5×	`add-exp-log_binary64_798`
4×	`add-cbrt-cube_binary64_796`
3×	`pow-unpow_binary64_837` `pow1_binary64_821` `sqr-pow_binary64_732` `prod-exp_binary64_809` `unswap-sqr_binary64_728` `associate-l_binary64_701`
2×	`pow-to-exp_binary64_829` `pow-exp_binary64_828` `add-log-exp_binary64_799` `associate-*l/_binary64_703`
1×	`pow-pow_binary64_832` `cbrt-unprod_binary64_793` `neg-sub0_binary64_755` `exp-diff_binary64_808` `exp-neg_binary64_807` `*-commutative_binary64_691`

Counts

2 → 44

Calls

2 calls:

9.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
2.0ms	(pow.f64 l (exp.f64 w))

Compiler

Compiled 641 to 150 computations (76.6% saved)

series603.0ms (3.2%)

Error

0.2b

Counts

2 → 18

Calls

2 calls:

330.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
246.0ms	(pow.f64 l (exp.f64 w))

Compiler

Compiled 1057 to 608 computations (42.5% saved)

simplify122.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

524×	`associate-+l+_binary64_693`
397×	`associate-+r+_binary64_692`
194×	`associate--l+_binary64_697`
177×	`distribute-rgt-out_binary64_713`
175×	`associate-r_binary64_700`
174×	`unswap-sqr_binary64_728`
162×	`associate--r+_binary64_696`
155×	`associate-l_binary64_701`
133×	`cancel-sign-sub-inv_binary64_726`
119×	`exp-prod_binary64_812`
100×	`times-frac_binary64_766`
85×	`*-commutative_binary64_691`
71×	`sqr-pow_binary64_732` `associate-/l*_binary64_705`
69×	`log-prod_binary64_846`
67×	`distribute-rgt-in_binary64_710` `+-commutative_binary64_690`
62×	`associate-*l/_binary64_703`
61×	`sub-neg_binary64_753`
60×	`distribute-lft-in_binary64_709`
59×	`log-pow_binary64_849` `log-div_binary64_847`
42×	`distribute-lft-out_binary64_711`
37×	`distribute-neg-in_binary64_721`
36×	`distribute-rgt-neg-in_binary64_718`
33×	`associate-/r*_binary64_704`
32×	`associate-+l-_binary64_695`
31×	`associate-*r/_binary64_702` `associate-+r-_binary64_694`
30×	`distribute-lft-neg-in_binary64_717`
22×	`pow-sqr_binary64_733`
20×	`neg-sub0_binary64_755` `unsub-neg_binary64_754`
19×	`prod-exp_binary64_809`
16×	`neg-mul-1_binary64_756`
14×	`*-lft-identity_binary64_749`
13×	`*-rgt-identity_binary64_750` `distribute-rgt1-in_binary64_716`
11×	`log-rec_binary64_848` `unpow3_binary64_826` `cube-prod_binary64_788` `associate-/l/_binary64_707`
10×	`distribute-lft-neg-out_binary64_719`
9×	`exp-sum_binary64_806`
8×	`exp-diff_binary64_808` `exp-neg_binary64_807` `distribute-rgt-out--_binary64_714`
7×	`exp-to-pow_binary64_822` `swap-sqr_binary64_727` `distribute-rgt-neg-out_binary64_720`
6×	`unpow1/2_binary64_824` `div-exp_binary64_811` `distribute-neg-out_binary64_722` `associate--l-_binary64_698`
5×	`cube-unmult_binary64_797` `associate--r-_binary64_699`
4×	`pow-base-1_binary64_820` `sub0-neg_binary64_747` `count-2_binary64_708`
3×	`pow-plus_binary64_823` `unpow1_binary64_818` `rem-log-exp_binary64_801` `cube-div_binary64_789` `rem-sqrt-square_binary64_773` `distribute-lft1-in_binary64_715` `distribute-lft-out--_binary64_712`
2×	`unpow2_binary64_825` `rec-exp_binary64_810` `cube-mult_binary64_790` `mul-1-neg_binary64_752` `remove-double-neg_binary64_748` `+-rgt-identity_binary64_745` `associate-/r/_binary64_706`
1×	`log-E_binary64_850` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-exp-log_binary64_800` `div-sub_binary64_765` `+-inverses_binary64_739` `distribute-frac-neg_binary64_723`
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` `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` `e-exp-1_binary64_805` `exp-0_binary64_802` `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` `/-rgt-identity_binary64_751` `--rgt-identity_binary64_746` `+-lft-identity_binary64_744` `mul0-rgt_binary64_743` `mul0-lft_binary64_742` `div0_binary64_741` `*-inverses_binary64_740` `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`

Counts

62 → 47

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	146	1175
1	359	1065
2	1338	996
3	4727	996
4	4970	996
5	4992	996
6	4971	996

prune57.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	43	4	47
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	44	5	49

Error

0.1b

Counts

49 → 5

Compiler

Compiled 822 to 292 computations (64.5% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (exp.f64 (neg.f64 w))))
0.2b	(pow.f64 (sqrt.f64 l) (exp.f64 w))
0.2b	(pow.f64 (sqrt.f64 l) (exp.f64 w))
0.4b	(.f64 (.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (exp.f64 (neg.f64 w)))) (*.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (exp.f64 (neg.f64 w)))))

rewrite215.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

59×	`add-exp-log_binary64_798`
43×	`prod-exp_binary64_809`
29×	`add-sqr-sqrt_binary64_782`
22×	`unpow-prod-down_binary64_839`
18×	`add-cbrt-cube_binary64_796` `sqrt-prod_binary64_776`
16×	`associate-*r/_binary64_702`
15×	`pow1_binary64_821` `add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
14×	`sqrt-div_binary64_777`
11×	`pow-to-exp_binary64_829` `pow-exp_binary64_828` `associate-l_binary64_701`
9×	`cbrt-unprod_binary64_793`
8×	`unswap-sqr_binary64_728`
7×	`neg-sub0_binary64_755` `exp-diff_binary64_808` `exp-neg_binary64_807` `associate-r_binary64_700`
6×	`pow-unpow_binary64_837` `pow-pow_binary64_832`
5×	`sqr-pow_binary64_732`
4×	`add-log-exp_binary64_799` `frac-times_binary64_770`
2×	`associate-l/_binary64_703` `-commutative_binary64_691` `pow1/2_binary64_840` `sqrt-pow1_binary64_778` `sqrt-pow2_binary64_779`
1×	`pow2_binary64_841` `pow-prod-down_binary64_831` `pow-prod-up_binary64_830` `pow-plus_binary64_823` `pow-sqr_binary64_733` `swap-sqr_binary64_727`

Counts

4 → 128

Calls

4 calls:

21.0ms	(.f64 (.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (exp.f64 (neg.f64 w)))) (*.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (exp.f64 (neg.f64 w)))))
12.0ms	(*.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (exp.f64 (neg.f64 w))))
3.0ms	(pow.f64 (sqrt.f64 l) (exp.f64 w))
3.0ms	(pow.f64 (sqrt.f64 l) (exp.f64 w))

Compiler

Compiled 3687 to 446 computations (87.9% saved)

series1.1s (6%)

Error

0.1b

Counts

4 → 36

Calls

4 calls:

457.0ms	(.f64 (.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (exp.f64 (neg.f64 w)))) (*.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (exp.f64 (neg.f64 w)))))
255.0ms	(*.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (exp.f64 (neg.f64 w))))
184.0ms	(pow.f64 (sqrt.f64 l) (exp.f64 w))
181.0ms	(pow.f64 (sqrt.f64 l) (exp.f64 w))

Compiler

Compiled 3221 to 1471 computations (54.3% saved)

simplify176.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

322×	`associate-r_binary64_700`
313×	`unswap-sqr_binary64_728`
306×	`associate--l+_binary64_697`
293×	`associate-l_binary64_701`
265×	`cancel-sign-sub-inv_binary64_726`
172×	`distribute-rgt-out_binary64_713`
166×	`exp-prod_binary64_812`
163×	`log-prod_binary64_846`
146×	`*-commutative_binary64_691`
103×	`associate-+r+_binary64_692`
97×	`times-frac_binary64_766` `sqr-pow_binary64_732`
92×	`+-commutative_binary64_690`
89×	`associate-*l/_binary64_703`
81×	`associate-+l+_binary64_693`
79×	`cube-prod_binary64_788`
72×	`associate-*r/_binary64_702`
70×	`distribute-rgt-neg-in_binary64_718`
69×	`distribute-rgt-in_binary64_710`
64×	`sub-neg_binary64_753` `swap-sqr_binary64_727` `distribute-lft-neg-in_binary64_717`
63×	`distribute-lft-out_binary64_711`
61×	`distribute-lft-in_binary64_709`
55×	`log-pow_binary64_849`
45×	`log-div_binary64_847`
38×	`pow-sqr_binary64_733`
36×	`associate-/l*_binary64_705`
26×	`exp-sum_binary64_806`
19×	`cube-div_binary64_789` `neg-mul-1_binary64_756` `neg-sub0_binary64_755` `associate-/r*_binary64_704`
17×	`distribute-rgt-out--_binary64_714`
16×	`unpow3_binary64_826` `prod-exp_binary64_809` `cube-unmult_binary64_797` `unsub-neg_binary64_754` `*-lft-identity_binary64_749` `associate--r+_binary64_696`
14×	`distribute-neg-in_binary64_721` `distribute-rgt1-in_binary64_716`
13×	`*-rgt-identity_binary64_750`
11×	`pow-plus_binary64_823`
10×	`rem-sqrt-square_binary64_773`
9×	`exp-to-pow_binary64_822`
8×	`unpow1/2_binary64_824` `cube-mult_binary64_790` `associate-/l/_binary64_707`
7×	`distribute-lft-neg-out_binary64_719`
6×	`unpow2_binary64_825` `unpow1_binary64_818` `distribute-lft1-in_binary64_715` `count-2_binary64_708`
5×	`log-rec_binary64_848` `distribute-lft-out--_binary64_712`
4×	`pow-base-1_binary64_820` `div-exp_binary64_811`
3×	`exp-diff_binary64_808` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `rem-square-sqrt_binary64_772` `associate-/r/_binary64_706`
2×	`exp-neg_binary64_807` `associate--l-_binary64_698` `associate-+r-_binary64_694`
1×	`log-E_binary64_850` `exp-lft-sqr_binary64_815` `1-exp_binary64_804` `exp-1-e_binary64_803`
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` `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` `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` `div-sub_binary64_765` `mul-1-neg_binary64_752` `/-rgt-identity_binary64_751` `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` `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_695`

Counts

164 → 114

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	229	3739
1	535	3207
2	1963	2998
3	4536	2828
4	4918	2828
5	5003	2828

prune128.0ms (0.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	110	4	114
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	112	7	119

Error

0.1b

Counts

119 → 7

Compiler

Compiled 2526 to 577 computations (77.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (sqrt.f64 l))
0.2b	(pow.f64 (sqrt.f64 l) (exp.f64 w))
0.4b	(.f64 (.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (exp.f64 (neg.f64 w)))) (.f64 (exp.f64 (.f64 (exp.f64 w) (log.f64 (sqrt.f64 l)))) (sqrt.f64 (exp.f64 (neg.f64 w)))))
4.0b	(exp.f64 (*.f64 (exp.f64 w) (log.f64 (sqrt.f64 l))))

rewrite174.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

26×	`add-exp-log_binary64_798`
18×	`log-prod_binary64_846` `prod-exp_binary64_809`
16×	`add-cbrt-cube_binary64_796`
14×	`associate-*r/_binary64_702`
13×	`pow1_binary64_821` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
12×	`exp-sum_binary64_806` `sqrt-prod_binary64_776` `sqrt-div_binary64_777`
8×	`cbrt-unprod_binary64_793`
6×	`add-log-exp_binary64_799` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709` `neg-sub0_binary64_755` `exp-diff_binary64_808` `exp-neg_binary64_807` `unpow-prod-down_binary64_839`
4×	`frac-times_binary64_770`
3×	`pow-prod-down_binary64_831` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `pow-unpow_binary64_837` `pow-pow_binary64_832` `log-pow_binary64_849`
2×	`associate-*l/_binary64_703` `pow1/2_binary64_840` `sqrt-pow1_binary64_778`
1×	`exp-to-pow_binary64_822` `exp-prod_binary64_812` `rem-exp-log_binary64_800` `associate-l_binary64_701` `associate-r_binary64_700` `*-commutative_binary64_691` `sqrt-pow2_binary64_779` `sqr-pow_binary64_732` `rem-log-exp_binary64_801`

Counts

4 → 94

Calls

4 calls:

24.0ms	(.f64 (.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (exp.f64 (neg.f64 w)))) (.f64 (exp.f64 (.f64 (exp.f64 w) (log.f64 (sqrt.f64 l)))) (sqrt.f64 (exp.f64 (neg.f64 w)))))
4.0ms	(exp.f64 (*.f64 (exp.f64 w) (log.f64 (sqrt.f64 l))))
4.0ms	(pow.f64 (sqrt.f64 l) (exp.f64 w))
2.0ms	(log.f64 (sqrt.f64 l))

Compiler

Compiled 2939 to 447 computations (84.8% saved)

series869.0ms (4.6%)

Error

0.1b

Counts

4 → 30

Calls

4 calls:

435.0ms	(.f64 (.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (exp.f64 (neg.f64 w)))) (.f64 (exp.f64 (.f64 (exp.f64 w) (log.f64 (sqrt.f64 l)))) (sqrt.f64 (exp.f64 (neg.f64 w)))))
183.0ms	(exp.f64 (*.f64 (exp.f64 w) (log.f64 (sqrt.f64 l))))
182.0ms	(pow.f64 (sqrt.f64 l) (exp.f64 w))
22.0ms	(log.f64 (sqrt.f64 l))

Compiler

Compiled 2634 to 1241 computations (52.9% saved)

simplify116.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

440×	`associate-+l+_binary64_693`
288×	`associate-r_binary64_700`
286×	`unswap-sqr_binary64_728`
270×	`associate-l_binary64_701`
243×	`exp-prod_binary64_812`
185×	`associate--l+_binary64_697`
157×	`prod-exp_binary64_809`
142×	`cancel-sign-sub-inv_binary64_726`
141×	`log-prod_binary64_846`
136×	`distribute-rgt-out_binary64_713`
133×	`*-commutative_binary64_691`
110×	`sqr-pow_binary64_732`
97×	`times-frac_binary64_766`
79×	`associate-*l/_binary64_703`
68×	`associate-+r+_binary64_692` `+-commutative_binary64_690`
66×	`swap-sqr_binary64_727` `distribute-rgt-in_binary64_710`
65×	`associate-*r/_binary64_702`
61×	`associate--r+_binary64_696`
57×	`distribute-lft-out_binary64_711`
54×	`distribute-lft-in_binary64_709`
45×	`pow-sqr_binary64_733`
41×	`sub-neg_binary64_753`
40×	`log-pow_binary64_849`
39×	`associate-/l*_binary64_705`
32×	`exp-to-pow_binary64_822`
30×	`distribute-rgt-neg-in_binary64_718`
27×	`cube-prod_binary64_788`
26×	`distribute-lft-neg-in_binary64_717`
22×	`log-div_binary64_847`
20×	`unpow3_binary64_826`
19×	`associate-/r*_binary64_704`
18×	`*-lft-identity_binary64_749` `associate-+r-_binary64_694`
17×	`*-rgt-identity_binary64_750`
16×	`div-exp_binary64_811` `associate-+l-_binary64_695`
15×	`distribute-rgt1-in_binary64_716`
12×	`distribute-neg-in_binary64_721`
11×	`rem-sqrt-square_binary64_773` `neg-mul-1_binary64_756` `neg-sub0_binary64_755` `unsub-neg_binary64_754`
10×	`pow-plus_binary64_823` `exp-sum_binary64_806`
9×	`distribute-rgt-out--_binary64_714`
8×	`unpow1/2_binary64_824` `associate-/l/_binary64_707`
7×	`rem-exp-log_binary64_800` `cube-unmult_binary64_797`
6×	`unpow2_binary64_825` `unpow1_binary64_818` `distribute-lft1-in_binary64_715` `count-2_binary64_708`
5×	`rem-log-exp_binary64_801` `distribute-lft-neg-out_binary64_719`
4×	`pow-base-1_binary64_820`
3×	`log-rec_binary64_848` `rem-square-sqrt_binary64_772` `associate-/r/_binary64_706`
2×	`cube-mult_binary64_790` `distribute-lft-out--_binary64_712` `associate--l-_binary64_698`
1×	`log-E_binary64_850` `exp-neg_binary64_807` `1-exp_binary64_804` `exp-1-e_binary64_803` `cube-div_binary64_789`
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` `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` `exp-diff_binary64_808` `e-exp-1_binary64_805` `exp-0_binary64_802` `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` `div-sub_binary64_765` `mul-1-neg_binary64_752` `/-rgt-identity_binary64_751` `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` `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`

Counts

124 → 81

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	228	2509
1	457	2059
2	1634	1778
3	4548	1763
4	5066	1763

prune93.0ms (0.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	81	7	88

Error

0.1b

Counts

88 → 7

Compiler

Compiled 1886 to 474 computations (74.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (sqrt.f64 l) (exp.f64 w))
0.2b	(pow.f64 (sqrt.f64 l) (exp.f64 w))
0.4b	(.f64 (.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (exp.f64 (neg.f64 w)))) (exp.f64 (log.f64 (*.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (exp.f64 (neg.f64 w)))))))
4.0b	(exp.f64 (log.f64 (*.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (exp.f64 (neg.f64 w))))))

rewrite174.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

16×	`associate-*r/_binary64_702`
15×	`exp-diff_binary64_808`
14×	`sqrt-div_binary64_777`
12×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760` `add-exp-log_binary64_798` `unpow-prod-down_binary64_839`
11×	`pow1_binary64_821`
9×	`add-cbrt-cube_binary64_796`
8×	`log-div_binary64_847`
7×	`neg-sub0_binary64_755` `exp-neg_binary64_807` `prod-exp_binary64_809`
6×	`sqrt-prod_binary64_776` `pow-unpow_binary64_837` `pow-pow_binary64_832`
4×	`exp-prod_binary64_812` `add-log-exp_binary64_799` `frac-times_binary64_770` `associate-r_binary64_700`
3×	`pow-to-exp_binary64_829` `pow-exp_binary64_828` `cbrt-unprod_binary64_793`
2×	`log-prod_binary64_846` `exp-sum_binary64_806` `associate-*l/_binary64_703` `pow1/2_binary64_840` `sqrt-pow1_binary64_778` `sqrt-pow2_binary64_779` `sqr-pow_binary64_732`
1×	`log-pow_binary64_849` `rem-exp-log_binary64_800` `pow-prod-down_binary64_831` `associate-l_binary64_701` `*-commutative_binary64_691`

Counts

4 → 89

Calls

4 calls:

23.0ms	(.f64 (.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (exp.f64 (neg.f64 w)))) (exp.f64 (log.f64 (*.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (exp.f64 (neg.f64 w)))))))
11.0ms	(exp.f64 (log.f64 (*.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (exp.f64 (neg.f64 w))))))
4.0ms	(pow.f64 (sqrt.f64 l) (exp.f64 w))
3.0ms	(pow.f64 (sqrt.f64 l) (exp.f64 w))

Compiler

Compiled 2773 to 413 computations (85.1% saved)

series1.6s (8.6%)

Error

0.1b

Counts

4 → 36

Calls

4 calls:

750.0ms	(.f64 (.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (exp.f64 (neg.f64 w)))) (exp.f64 (log.f64 (*.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (exp.f64 (neg.f64 w)))))))
415.0ms	(exp.f64 (log.f64 (*.f64 (pow.f64 (sqrt.f64 l) (exp.f64 w)) (sqrt.f64 (exp.f64 (neg.f64 w))))))
206.0ms	(pow.f64 (sqrt.f64 l) (exp.f64 w))
191.0ms	(pow.f64 (sqrt.f64 l) (exp.f64 w))

Compiler

Compiled 3838 to 1556 computations (59.5% saved)

simplify157.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

332×	`associate-r_binary64_700`
309×	`associate--l+_binary64_697`
287×	`unswap-sqr_binary64_728`
278×	`associate-l_binary64_701`
253×	`cancel-sign-sub-inv_binary64_726`
221×	`distribute-rgt-out_binary64_713`
154×	`*-commutative_binary64_691`
151×	`exp-prod_binary64_812`
144×	`prod-exp_binary64_809`
131×	`log-prod_binary64_846`
100×	`associate-+r+_binary64_692`
91×	`+-commutative_binary64_690`
88×	`sqr-pow_binary64_732`
81×	`distribute-rgt-neg-in_binary64_718`
79×	`log-pow_binary64_849` `associate-+l+_binary64_693`
78×	`distribute-lft-out_binary64_711`
75×	`distribute-lft-neg-in_binary64_717`
68×	`distribute-rgt-in_binary64_710`
65×	`swap-sqr_binary64_727`
64×	`sub-neg_binary64_753`
61×	`distribute-lft-in_binary64_709`
44×	`associate-*l/_binary64_703`
43×	`times-frac_binary64_766`
37×	`pow-sqr_binary64_733`
31×	`associate-/l*_binary64_705`
30×	`associate-*r/_binary64_702`
22×	`exp-sum_binary64_806`
19×	`cube-prod_binary64_788` `neg-mul-1_binary64_756` `neg-sub0_binary64_755`
17×	`unpow3_binary64_826` `unsub-neg_binary64_754` `distribute-rgt-out--_binary64_714`
16×	`log-div_binary64_847` `associate--r+_binary64_696`
15×	`distribute-rgt1-in_binary64_716`
13×	`exp-to-pow_binary64_822` `rem-exp-log_binary64_800` `distribute-neg-in_binary64_721` `associate-/r*_binary64_704`
11×	`pow-plus_binary64_823`
10×	`-rgt-identity_binary64_750` `-lft-identity_binary64_749`
8×	`rem-sqrt-square_binary64_773` `distribute-lft-out--_binary64_712` `count-2_binary64_708`
7×	`cube-unmult_binary64_797` `distribute-lft-neg-out_binary64_719` `associate-/l/_binary64_707`
6×	`unpow1/2_binary64_824`
5×	`rem-log-exp_binary64_801` `distribute-lft1-in_binary64_715`
4×	`pow-base-1_binary64_820` `div-exp_binary64_811`
3×	`unpow1_binary64_818` `rem-square-sqrt_binary64_772`
2×	`log-rec_binary64_848` `unpow2_binary64_825` `cube-mult_binary64_790` `associate-/r/_binary64_706` `associate--l-_binary64_698`
1×	`log-E_binary64_850` `exp-lft-sqr_binary64_815` `rec-exp_binary64_810` `exp-neg_binary64_807` `1-exp_binary64_804` `exp-1-e_binary64_803` `cube-div_binary64_789` `associate-+r-_binary64_694`
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` `unpow0_binary64_819` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-cbrt_binary64_814` `exp-sqrt_binary64_813` `exp-diff_binary64_808` `e-exp-1_binary64_805` `exp-0_binary64_802` `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` `div-sub_binary64_765` `mul-1-neg_binary64_752` `/-rgt-identity_binary64_751` `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` `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_695`

Counts

125 → 91

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	251	3043
1	545	2491
2	2004	2208
3	4732	2204
4	4974	2204
5	4971	2204

prune106.0ms (0.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	87	4	91
Fresh	2	2	4
Picked	1	0	1
Done	1	1	2
Total	91	7	98

Error

0.1b

Counts

98 → 7

Compiler

Compiled 2196 to 466 computations (78.8% saved)

regimes423.0ms (2.2%)

Accuracy

Total 0.2b remaining (81.2%)

Threshold costs 0.2b (81.2%)

Compiler

Compiled 4443 to 2668 computations (40% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64_691`
1×	`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-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)

Iter	Nodes	Cost
0	10	24
1	16	24
2	18	24
3	19	24
4	19	24

end0.0ms (0%)

sample11.3s (59.8%)

Algorithm

1×

intervals

Results

7.8s	4738×	body	8192	exit
945.0ms	3189×	body	1024	nan
404.0ms	8000×	body	128	valid
252.0ms	1607×	body	512	nan
79.0ms	809×	body	256	nan
14.0ms	333×	body	128	nan
11.0ms	134×	body	128	overflowed
7.0ms	3×	body	8192	nan
7.0ms	127×	body	128	invalid
3.0ms	2×	body	4096	nan
1.0ms	3×	body	2048	nan

Compiler

Compiled 1483 to 891 computations (39.9% saved)

Details

analyze839.0ms (4.4%)

sample381.0ms (2%)

simplify101.0ms (0.5%)

prune7.0ms (0%)

localize7.0ms (0%)

rewrite55.0ms (0.3%)

series603.0ms (3.2%)

simplify122.0ms (0.6%)

prune57.0ms (0.3%)

localize10.0ms (0.1%)

rewrite215.0ms (1.1%)

series1.1s (6%)

simplify176.0ms (0.9%)

prune128.0ms (0.7%)

localize16.0ms (0.1%)

rewrite174.0ms (0.9%)

series869.0ms (4.6%)

simplify116.0ms (0.6%)

prune93.0ms (0.5%)

localize13.0ms (0.1%)

rewrite174.0ms (0.9%)

series1.6s (8.6%)

simplify157.0ms (0.8%)

prune106.0ms (0.6%)

regimes423.0ms (2.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample11.3s (59.8%)

Profiling