Details

analyze713.0ms (5.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

822×	`times-frac_binary64_766`
477×	`associate-l_binary64_701`
460×	`associate-r_binary64_700`
450×	`distribute-rgt-in_binary64_710`
344×	`cancel-sign-sub-inv_binary64_726`
308×	`distribute-lft-in_binary64_709`
251×	`unsub-neg_binary64_754`
217×	`associate-/l*_binary64_705`
187×	`distribute-lft-neg-out_binary64_719`
170×	`*-commutative_binary64_691`
163×	`distribute-rgt-neg-out_binary64_720`
161×	`div-sub_binary64_765`
160×	`distribute-rgt-neg-in_binary64_718`
140×	`neg-sub0_binary64_755`
123×	`distribute-lft-neg-in_binary64_717`
107×	`associate-*r/_binary64_702`
102×	`neg-mul-1_binary64_756` `associate-*l/_binary64_703`
101×	`associate-+l-_binary64_695`
82×	`associate-+l+_binary64_693`
76×	`sub-neg_binary64_753`
74×	`associate-+r+_binary64_692`
73×	`+-commutative_binary64_690`
46×	`*-lft-identity_binary64_749`
40×	`sqr-pow_binary64_732`
39×	`associate-+r-_binary64_694`
38×	`associate-/r*_binary64_704`
34×	`associate--r+_binary64_696`
32×	`*-rgt-identity_binary64_750`
26×	`distribute-frac-neg_binary64_723`
24×	`exp-prod_binary64_812`
20×	`pow-sqr_binary64_733`
19×	`associate-/r/_binary64_706`
18×	`sub0-neg_binary64_747` `mul0-rgt_binary64_743` `mul0-lft_binary64_742`
16×	`exp-diff_binary64_808` `associate-/l/_binary64_707`
13×	`distribute-rgt-out--_binary64_714`
12×	`exp-sum_binary64_806` `distribute-neg-in_binary64_721`
11×	`+-rgt-identity_binary64_745`
10×	`mul-1-neg_binary64_752`
8×	`cube-unmult_binary64_797` `--rgt-identity_binary64_746` `unswap-sqr_binary64_728`
7×	`associate--l-_binary64_698`
4×	`unpow3_binary64_826` `exp-neg_binary64_807` `cube-prod_binary64_788` `remove-double-neg_binary64_748` `div0_binary64_741` `distribute-neg-frac_binary64_724` `associate--r-_binary64_699` `associate--l+_binary64_697`
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` `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` `div-exp_binary64_811` `rec-exp_binary64_810` `prod-exp_binary64_809` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `cube-mult_binary64_790` `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-sqrt-square_binary64_773` `rem-square-sqrt_binary64_772` `/-rgt-identity_binary64_751` `+-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-sqr-1_binary64_730` `difference-of-squares_binary64_729` `swap-sqr_binary64_727` `cancel-sign-sub_binary64_725` `distribute-neg-out_binary64_722` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `distribute-rgt-out_binary64_713` `distribute-lft-out--_binary64_712` `distribute-lft-out_binary64_711` `count-2_binary64_708`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	168
1	106	168
2	212	168
3	446	168
4	1066	168
5	2389	168
6	3907	168
7	5058	168
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
49.9%	49.9%	0.2%	2
49.9%	49.9%	0.2%	3
49.9%	49.9%	0.2%	4
49.9%	49.9%	0.2%	5
49.9%	49.9%	0.2%	6
49.9%	49.9%	0.2%	7
53%	46.8%	0.2%	8
57.7%	42.1%	0.2%	9
61.6%	38.2%	0.2%	10
63.5%	30%	6.4%	11
63.5%	30%	6.4%	12
67.6%	25.9%	6.4%	13
68.9%	24.7%	6.4%	14

Compiler

Compiled 16 to 15 computations (6.3% saved)

sample107.0ms (0.9%)

Algorithm

1×

intervals

Results

21.0ms	75×	body	1024	invalid
21.0ms	49×	body	1024	valid
13.0ms	55×	body	512	valid
9.0ms	129×	body	128	valid
7.0ms	98×	body	128	invalid
6.0ms	28×	body	512	invalid
3.0ms	20×	body	256	valid
2.0ms	16×	body	256	invalid
2.0ms	3×	body	2048	valid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify102.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

720×	`div-sub_binary64_765`
424×	`times-frac_binary64_766`
411×	`associate-/l*_binary64_705`
370×	`cancel-sign-sub-inv_binary64_726`
355×	`distribute-neg-frac_binary64_724`
322×	`associate-l_binary64_701`
298×	`neg-sub0_binary64_755`
288×	`*-commutative_binary64_691`
278×	`neg-mul-1_binary64_756`
276×	`associate-/r*_binary64_704`
264×	`distribute-rgt-neg-in_binary64_718`
250×	`associate-r_binary64_700`
232×	`sub-neg_binary64_753`
228×	`distribute-rgt-in_binary64_710`
201×	`unsub-neg_binary64_754`
166×	`distribute-lft-neg-in_binary64_717`
152×	`distribute-lft-in_binary64_709`
138×	`distribute-rgt-neg-out_binary64_720`
128×	`distribute-lft-neg-out_binary64_719`
124×	`unswap-sqr_binary64_728`
75×	`associate-*r/_binary64_702`
73×	`associate-*l/_binary64_703`
59×	`associate-/l/_binary64_707`
56×	`distribute-neg-in_binary64_721`
50×	`associate--r+_binary64_696`
46×	`+-commutative_binary64_690`
44×	`mul0-rgt_binary64_743`
43×	`mul0-lft_binary64_742`
40×	`associate-+l-_binary64_695`
34×	`*-lft-identity_binary64_749` `sqr-pow_binary64_732`
29×	`associate-/r/_binary64_706`
28×	`*-rgt-identity_binary64_750`
24×	`distribute-frac-neg_binary64_723`
22×	`exp-prod_binary64_812`
21×	`remove-double-neg_binary64_748`
18×	`mul-1-neg_binary64_752`
17×	`+-lft-identity_binary64_744`
16×	`pow-plus_binary64_823` `pow-sqr_binary64_733`
15×	`sub0-neg_binary64_747` `associate-+l+_binary64_693`
14×	`cube-unmult_binary64_797` `cube-prod_binary64_788` `associate-+r+_binary64_692`
13×	`associate--l+_binary64_697`
10×	`/-rgt-identity_binary64_751` `div0_binary64_741`
8×	`swap-sqr_binary64_727`
7×	`unpow3_binary64_826` `exp-sum_binary64_806` `--rgt-identity_binary64_746`
6×	`exp-lft-sqr_binary64_815`
5×	`exp-diff_binary64_808`
4×	`exp-sqrt_binary64_813` `distribute-lft-out_binary64_711`
3×	`unpow2_binary64_825` `+-rgt-identity_binary64_745` `remove-double-div_binary64_736` `distribute-neg-out_binary64_722` `associate--r-_binary64_699` `associate--l-_binary64_698` `associate-+r-_binary64_694`
2×	`rec-exp_binary64_810` `sqr-neg_binary64_774` `distribute-rgt-out--_binary64_714`
1×	`unpow1_binary64_818` `prod-exp_binary64_809` `exp-neg_binary64_807` `1-exp_binary64_804` `exp-1-e_binary64_803` `cube-neg_binary64_787` `distribute-rgt-out_binary64_713`
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` `unpow1/2_binary64_824` `exp-to-pow_binary64_822` `pow-base-1_binary64_820` `unpow0_binary64_819` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-cbrt_binary64_814` `div-exp_binary64_811` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `cube-mult_binary64_790` `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-sqrt-square_binary64_773` `rem-square-sqrt_binary64_772` `*-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` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `distribute-lft-out--_binary64_712` `count-2_binary64_708`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	24
1	28	24
2	50	24
3	96	24
4	205	24
5	441	24
6	997	24
7	1569	24
8	2735	24
9	3755	24
10	4991	24
11	4999	24
12	4815	24

prune6.0ms (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

19.7b

Counts

1 → 1

Compiler

Compiled 15 to 14 computations (6.7% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
0.0b	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
5.5b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite115.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

15×	`add-sqr-sqrt_binary64_782`
13×	`*-un-lft-identity_binary64_760`
10×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
9×	`add-cube-cbrt_binary64_795` `cancel-sign-sub-inv_binary64_726` `associate-r_binary64_700`
5×	`add-log-exp_binary64_799`
4×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `associate-r/_binary64_702` `associate-l*_binary64_701` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709`
3×	`flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735`
2×	`sinh-undef_binary64_953` `difference-of-squares_binary64_729` `distribute-lft-out--_binary64_712` `associate-l/_binary64_703` `-commutative_binary64_691`
1×	`diff-log_binary64_852` `unswap-sqr_binary64_728`

Counts

3 → 68

Calls

3 calls:

10.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
9.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
6.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 1608 to 602 computations (62.6% saved)

series638.0ms (5.2%)

Error

0.1b

Counts

3 → 28

Calls

3 calls:

414.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
146.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
43.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 1414 to 1085 computations (23.3% saved)

simplify145.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

460×	`*-commutative_binary64_691`
276×	`times-frac_binary64_766`
269×	`distribute-rgt-neg-out_binary64_720`
237×	`associate-l_binary64_701`
230×	`unsub-neg_binary64_754` `distribute-rgt-in_binary64_710`
219×	`distribute-lft-in_binary64_709`
217×	`cancel-sign-sub-inv_binary64_726`
214×	`associate-r_binary64_700`
204×	`exp-prod_binary64_812`
93×	`sub-neg_binary64_753`
92×	`sqr-pow_binary64_732`
91×	`unswap-sqr_binary64_728`
89×	`associate-+l+_binary64_693`
84×	`div-sub_binary64_765`
80×	`+-commutative_binary64_690`
77×	`neg-sub0_binary64_755`
73×	`neg-mul-1_binary64_756`
70×	`associate-+r+_binary64_692`
64×	`exp-sum_binary64_806`
57×	`*-lft-identity_binary64_749`
52×	`*-rgt-identity_binary64_750`
35×	`exp-diff_binary64_808` `swap-sqr_binary64_727` `distribute-rgt-neg-in_binary64_718` `distribute-rgt-out_binary64_713`
32×	`cube-prod_binary64_788` `associate-*r/_binary64_702`
30×	`distribute-lft-neg-in_binary64_717`
28×	`associate-*l/_binary64_703`
27×	`distribute-lft-neg-out_binary64_719`
26×	`exp-neg_binary64_807` `associate-/l*_binary64_705`
25×	`log-prod_binary64_846`
23×	`associate-+r-_binary64_694`
19×	`distribute-neg-frac_binary64_724`
18×	`mul0-lft_binary64_742`
17×	`mul0-rgt_binary64_743` `pow-sqr_binary64_733`
16×	`unpow3_binary64_826` `difference-of-squares_binary64_729`
15×	`associate-+l-_binary64_695`
13×	`rem-sqrt-square_binary64_773` `+-rgt-identity_binary64_745`
11×	`cube-unmult_binary64_797` `distribute-neg-out_binary64_722` `distribute-lft-out_binary64_711` `associate--l+_binary64_697`
10×	`sub0-neg_binary64_747` `distribute-rgt-out--_binary64_714`
9×	`mul-1-neg_binary64_752` `associate--r+_binary64_696`
8×	`prod-exp_binary64_809`
7×	`sqr-neg_binary64_774` `distribute-neg-in_binary64_721`
6×	`cancel-sign-sub_binary64_725` `distribute-frac-neg_binary64_723`
5×	`unpow1/2_binary64_824` `cube-mult_binary64_790`
4×	`rec-exp_binary64_810` `distribute-rgt1-in_binary64_716` `distribute-lft-out--_binary64_712`
3×	`div-exp_binary64_811` `associate-/r*_binary64_704`
2×	`cube-div_binary64_789` `cube-neg_binary64_787` `distribute-lft1-in_binary64_715` `count-2_binary64_708` `associate--r-_binary64_699`
1×	`sinh-def_binary64_945` `unpow2_binary64_825` `unpow1_binary64_818` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-3cbrt-lft_binary64_785` `rem-square-sqrt_binary64_772` `/-rgt-identity_binary64_751` `remove-double-neg_binary64_748` `lft-mult-inverse_binary64_738` `associate-/l/_binary64_707` `associate--l-_binary64_698`
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` `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` `pow-base-0_binary64_844` `unpow1/3_binary64_827` `pow-plus_binary64_823` `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` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `rem-3cbrt-rft_binary64_786` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `--rgt-identity_binary64_746` `+-lft-identity_binary64_744` `div0_binary64_741` `*-inverses_binary64_740` `+-inverses_binary64_739` `rgt-mult-inverse_binary64_737` `remove-double-div_binary64_736` `difference-of-sqr--1_binary64_731` `difference-of-sqr-1_binary64_730` `associate-/r/_binary64_706`

Counts

96 → 71

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	2045
1	437	1797
2	1368	1717
3	2891	1717
4	4699	1717
5	4997	1717
6	4888	1717

prune87.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	3	72

Error

0.0b

Counts

72 → 3

Compiler

Compiled 1480 to 711 computations (52% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 1/2520 (pow.f64 l 7))
0.0b	(*.f64 1/60 (pow.f64 l 5))
0.1b	(*.f64 1/3 (pow.f64 l 3))
0.1b	(.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 (+.f64 l l) (*.f64 1/2520 (pow.f64 l 7)))))) (cos.f64 (/.f64 K 2)))

rewrite290.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

32×	`add-sqr-sqrt_binary64_782`
29×	`associate-r_binary64_700`
24×	`add-exp-log_binary64_798`
15×	`add-cbrt-cube_binary64_796` `add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
12×	`prod-exp_binary64_809` `unpow-prod-down_binary64_839`
10×	`associate-l_binary64_701` `unswap-sqr_binary64_728`
9×	`pow1_binary64_821`
6×	`cbrt-unprod_binary64_793` `sqr-pow_binary64_732`
4×	`add-log-exp_binary64_799` `*-commutative_binary64_691` `cube-prod_binary64_788`
3×	`pow-prod-down_binary64_831` `pow-to-exp_binary64_829` `pow-exp_binary64_828`
2×	`associate-r/_binary64_702` `associate-l/_binary64_703`
1×	`flip3-+_binary64_763` `flip-+_binary64_734` `unpow3_binary64_826` `cube-mult_binary64_790`

Counts

4 → 101

Calls

4 calls:

19.0ms	(.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 (+.f64 l l) (*.f64 1/2520 (pow.f64 l 7)))))) (cos.f64 (/.f64 K 2)))
9.0ms	(*.f64 1/2520 (pow.f64 l 7))
7.0ms	(*.f64 1/3 (pow.f64 l 3))
6.0ms	(*.f64 1/60 (pow.f64 l 5))

Compiler

Compiled 3958 to 2855 computations (27.9% saved)

series1.3s (10.9%)

Error

0.0b

Counts

4 → 28

Calls

4 calls:

1.1s	(.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 (+.f64 l l) (*.f64 1/2520 (pow.f64 l 7)))))) (cos.f64 (/.f64 K 2)))
69.0ms	(*.f64 1/60 (pow.f64 l 5))
67.0ms	(*.f64 1/2520 (pow.f64 l 7))
56.0ms	(*.f64 1/3 (pow.f64 l 3))

Compiler

Compiled 2412 to 1949 computations (19.2% saved)

simplify143.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

316×	`associate-l_binary64_701`
311×	`associate-r_binary64_700`
276×	`associate-+l+_binary64_693`
235×	`associate-+r+_binary64_692`
217×	`+-commutative_binary64_690`
194×	`*-commutative_binary64_691`
183×	`exp-prod_binary64_812`
174×	`log-prod_binary64_846`
162×	`associate--r+_binary64_696`
149×	`exp-sum_binary64_806`
113×	`cancel-sign-sub-inv_binary64_726`
112×	`distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709`
105×	`neg-mul-1_binary64_756` `neg-sub0_binary64_755`
100×	`cube-prod_binary64_788` `unsub-neg_binary64_754`
82×	`associate--l+_binary64_697`
71×	`sqr-pow_binary64_732` `unswap-sqr_binary64_728`
68×	`distribute-neg-in_binary64_721`
58×	`distribute-rgt-out_binary64_713`
39×	`sub-neg_binary64_753` `distribute-rgt-neg-in_binary64_718`
38×	`swap-sqr_binary64_727`
36×	`distribute-lft-neg-in_binary64_717`
33×	`unpow3_binary64_826`
32×	`log-pow_binary64_849`
29×	`distribute-lft-out_binary64_711`
20×	`cube-unmult_binary64_797`
19×	`cube-mult_binary64_790`
14×	`rem-sqrt-square_binary64_773`
12×	`associate-/l*_binary64_705`
11×	`pow-sqr_binary64_733`
10×	`-rgt-identity_binary64_750` `-lft-identity_binary64_749` `distribute-lft-neg-out_binary64_719`
7×	`pow-plus_binary64_823` `distribute-rgt-neg-out_binary64_720` `associate-+l-_binary64_695`
6×	`associate-+r-_binary64_694`
4×	`count-2_binary64_708`
3×	`associate--l-_binary64_698`
2×	`unpow1/3_binary64_827` `unpow1/2_binary64_824` `exp-lft-sqr_binary64_815`
1×	`unpow2_binary64_825` `unpow1_binary64_818` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `rem-square-sqrt_binary64_772` `difference-of-squares_binary64_729` `distribute-rgt-out--_binary64_714`
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` `exp-to-pow_binary64_822` `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` `prod-exp_binary64_809` `exp-diff_binary64_808` `exp-neg_binary64_807` `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` `sqr-abs_binary64_775` `sqr-neg_binary64_774` `times-frac_binary64_766` `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` `cancel-sign-sub_binary64_725` `distribute-neg-frac_binary64_724` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `distribute-lft-out--_binary64_712` `associate-/l/_binary64_707` `associate-/r/_binary64_706` `associate-/r_binary64_704` `associate-l/_binary64_703` `associate-r/_binary64_702` `associate--r-_binary64_699`

Counts

129 → 79

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	261	3083
1	633	2776
2	2201	2490
3	4275	2490
4	4957	2490
5	4971	2490

prune175.0ms (1.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	76	3	79
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	77	5	82

Error

0.0b

Counts

82 → 5

Compiler

Compiled 2866 to 2056 computations (28.3% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 1/60 (pow.f64 l 5))
0.1b	(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 (*.f64 1/2520 (pow.f64 l 7)) (+.f64 l l)))))
0.1b	(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 (.f64 1/2520 (pow.f64 l 7)) (+.f64 l l))))))
0.1b	(*.f64 1/3 (pow.f64 l 3))

rewrite322.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`add-sqr-sqrt_binary64_782`
23×	`associate-r_binary64_700`
21×	`add-exp-log_binary64_798`
15×	`add-cbrt-cube_binary64_796`
14×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
12×	`associate-l_binary64_701`
11×	`pow1_binary64_821`
10×	`prod-exp_binary64_809`
8×	`unpow-prod-down_binary64_839` `unswap-sqr_binary64_728`
6×	`cbrt-unprod_binary64_793` `associate-*r/_binary64_702`
5×	`distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709`
4×	`add-log-exp_binary64_799` `cube-prod_binary64_788` `sqr-pow_binary64_732` `*-commutative_binary64_691` `pow-prod-down_binary64_831`
2×	`pow-to-exp_binary64_829` `pow-exp_binary64_828` `flip3-+_binary64_763` `flip-+_binary64_734`
1×	`unpow3_binary64_826` `cube-mult_binary64_790`

Counts

4 → 102

Calls

4 calls:

20.0ms	(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 (.f64 1/2520 (pow.f64 l 7)) (+.f64 l l))))))
19.0ms	(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 (*.f64 1/2520 (pow.f64 l 7)) (+.f64 l l)))))
7.0ms	(*.f64 1/3 (pow.f64 l 3))
6.0ms	(*.f64 1/60 (pow.f64 l 5))

Compiler

Compiled 4309 to 3101 computations (28% saved)

series1.5s (12.3%)

Error

0.0b

Counts

4 → 41

Calls

4 calls:

857.0ms	(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 (.f64 1/2520 (pow.f64 l 7)) (+.f64 l l))))))
467.0ms	(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 (*.f64 1/2520 (pow.f64 l 7)) (+.f64 l l)))))
60.0ms	(*.f64 1/60 (pow.f64 l 5))
53.0ms	(*.f64 1/3 (pow.f64 l 3))

Compiler

Compiled 3307 to 2699 computations (18.4% saved)

simplify155.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

389×	`associate-+l+_binary64_693`
381×	`associate-r_binary64_700`
340×	`associate-l_binary64_701`
264×	`exp-prod_binary64_812`
252×	`associate--r+_binary64_696`
201×	`associate--l+_binary64_697`
192×	`*-commutative_binary64_691`
170×	`cancel-sign-sub-inv_binary64_726`
128×	`distribute-rgt-in_binary64_710`
125×	`distribute-lft-in_binary64_709`
117×	`log-prod_binary64_846`
87×	`unswap-sqr_binary64_728`
80×	`+-commutative_binary64_690`
79×	`distribute-neg-in_binary64_721`
72×	`distribute-rgt-out_binary64_713`
70×	`associate-+r+_binary64_692`
62×	`sub-neg_binary64_753` `sqr-pow_binary64_732`
52×	`exp-sum_binary64_806`
48×	`distribute-rgt-neg-in_binary64_718`
43×	`distribute-lft-neg-in_binary64_717`
39×	`cube-prod_binary64_788`
37×	`swap-sqr_binary64_727`
36×	`distribute-lft-out_binary64_711`
27×	`unpow3_binary64_826` `*-rgt-identity_binary64_750`
26×	`*-lft-identity_binary64_749`
22×	`neg-mul-1_binary64_756` `neg-sub0_binary64_755`
14×	`log-pow_binary64_849` `unsub-neg_binary64_754`
13×	`associate-+l-_binary64_695`
11×	`cube-unmult_binary64_797` `distribute-lft-neg-out_binary64_719` `associate-/l*_binary64_705`
10×	`pow-sqr_binary64_733` `associate-+r-_binary64_694`
7×	`pow-plus_binary64_823`
6×	`cube-mult_binary64_790` `distribute-rgt-neg-out_binary64_720` `associate--l-_binary64_698`
4×	`rem-sqrt-square_binary64_773`
3×	`count-2_binary64_708`
2×	`unpow1/3_binary64_827` `unpow1/2_binary64_824` `exp-lft-sqr_binary64_815`
1×	`unpow2_binary64_825` `unpow1_binary64_818` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-cbrt-cube_binary64_784` `rem-cube-cbrt_binary64_783` `rem-square-sqrt_binary64_772` `difference-of-squares_binary64_729` `distribute-rgt-out--_binary64_714`
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` `exp-to-pow_binary64_822` `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` `prod-exp_binary64_809` `exp-diff_binary64_808` `exp-neg_binary64_807` `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` `sqr-abs_binary64_775` `sqr-neg_binary64_774` `times-frac_binary64_766` `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` `cancel-sign-sub_binary64_725` `distribute-neg-frac_binary64_724` `distribute-frac-neg_binary64_723` `distribute-neg-out_binary64_722` `distribute-rgt1-in_binary64_716` `distribute-lft1-in_binary64_715` `distribute-lft-out--_binary64_712` `associate-/l/_binary64_707` `associate-/r/_binary64_706` `associate-/r_binary64_704` `associate-l/_binary64_703` `associate-r/_binary64_702` `associate--r-_binary64_699`

Counts

143 → 94

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	266	4769
1	667	4052
2	2456	3901
3	4666	3901
4	4939	3901

prune204.0ms (1.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	0	2	2
Picked	0	1	1
Done	1	1	2
Total	93	6	99

Error

0.0b

Counts

99 → 6

Compiler

Compiled 3373 to 2415 computations (28.4% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (cbrt.f64 (cos.f64 (.f64 1/2 K))) (cbrt.f64 (cos.f64 (*.f64 1/2 K))))
0.3b	(cbrt.f64 (cos.f64 (*.f64 1/2 K)))
0.3b	(cbrt.f64 (cos.f64 (*.f64 1/2 K)))
0.3b	(cbrt.f64 (cos.f64 (*.f64 1/2 K)))

rewrite268.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_791`
23×	`add-sqr-sqrt_binary64_782`
15×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
11×	`pow1_binary64_821`
9×	`pow1/3_binary64_842`
6×	`add-exp-log_binary64_798` `swap-sqr_binary64_727` `associate-l_binary64_701` `associate-r_binary64_700`
4×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `unswap-sqr_binary64_728`
2×	`pow-prod-down_binary64_831` `pow-prod-up_binary64_830` `pow-sqr_binary64_733`
1×	`pow2_binary64_841` `pow-plus_binary64_823` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `*-commutative_binary64_691`

Counts

4 → 73

Calls

4 calls:

8.0ms	(.f64 (cbrt.f64 (cos.f64 (.f64 1/2 K))) (cbrt.f64 (cos.f64 (*.f64 1/2 K))))
4.0ms	(cbrt.f64 (cos.f64 (*.f64 1/2 K)))
2.0ms	(cbrt.f64 (cos.f64 (*.f64 1/2 K)))
2.0ms	(cbrt.f64 (cos.f64 (*.f64 1/2 K)))

Compiler

Compiled 3675 to 2817 computations (23.3% saved)

series481.0ms (3.9%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

116.0ms	(cbrt.f64 (cos.f64 (*.f64 1/2 K)))
113.0ms	(.f64 (cbrt.f64 (cos.f64 (.f64 1/2 K))) (cbrt.f64 (cos.f64 (*.f64 1/2 K))))
110.0ms	(cbrt.f64 (cos.f64 (*.f64 1/2 K)))
108.0ms	(cbrt.f64 (cos.f64 (*.f64 1/2 K)))

Compiler

Compiled 1794 to 1486 computations (17.2% saved)

simplify119.0ms (1%)

Algorithm

1×	egg-herbie

Rules

584×	`log-prod_binary64_846`
406×	`sqr-pow_binary64_732`
354×	`*-commutative_binary64_691`
311×	`distribute-lft-out_binary64_711`
285×	`associate-l_binary64_701`
258×	`associate-/l/_binary64_707`
188×	`exp-prod_binary64_812`
184×	`associate-r_binary64_700`
157×	`log-pow_binary64_849`
152×	`cube-prod_binary64_788`
151×	`distribute-rgt-out_binary64_713`
127×	`pow-sqr_binary64_733`
123×	`log-div_binary64_847`
112×	`unswap-sqr_binary64_728` `swap-sqr_binary64_727`
104×	`associate-/l*_binary64_705`
76×	`associate-+l+_binary64_693`
69×	`associate-+r+_binary64_692`
61×	`distribute-rgt-in_binary64_710`
57×	`distribute-lft-in_binary64_709`
54×	`times-frac_binary64_766`
45×	`+-commutative_binary64_690`
43×	`rem-sqrt-square_binary64_773`
42×	`pow-plus_binary64_823`
37×	`associate-/r/_binary64_706`
36×	`count-2_binary64_708`
35×	`associate-*r/_binary64_702`
31×	`unpow3_binary64_826` `-rgt-identity_binary64_750` `-lft-identity_binary64_749`
26×	`cube-mult_binary64_790`
24×	`distribute-rgt-neg-in_binary64_718` `associate-/r*_binary64_704`
22×	`distribute-lft-neg-in_binary64_717` `distribute-rgt1-in_binary64_716`
15×	`cancel-sign-sub-inv_binary64_726`
13×	`sub-neg_binary64_753`
12×	`cube-unmult_binary64_797` `cube-div_binary64_789`
10×	`unpow1/2_binary64_824` `neg-mul-1_binary64_756` `distribute-lft1-in_binary64_715`
9×	`neg-sub0_binary64_755`
8×	`unpow2_binary64_825` `associate-*l/_binary64_703`
5×	`unpow1_binary64_818`
2×	`log-rec_binary64_848` `unpow1/3_binary64_827` `rem-3cbrt-lft_binary64_785` `rem-cbrt-cube_binary64_784` `sub0-neg_binary64_747` `associate-+l-_binary64_695`
1×	`exp-lft-sqr_binary64_815` `exp-sqrt_binary64_813` `1-exp_binary64_804` `exp-1-e_binary64_803` `rem-3cbrt-rft_binary64_786` `rem-square-sqrt_binary64_772` `--rgt-identity_binary64_746` `distribute-rgt-neg-out_binary64_720` `associate--r+_binary64_696`
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` `exp-to-pow_binary64_822` `pow-base-1_binary64_820` `unpow0_binary64_819` `unpow-1_binary64_817` `exp-lft-cube_binary64_816` `exp-cbrt_binary64_814` `div-exp_binary64_811` `rec-exp_binary64_810` `prod-exp_binary64_809` `exp-diff_binary64_808` `exp-neg_binary64_807` `exp-sum_binary64_806` `e-exp-1_binary64_805` `exp-0_binary64_802` `rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `cube-neg_binary64_787` `rem-cube-cbrt_binary64_783` `sqr-abs_binary64_775` `sqr-neg_binary64_774` `div-sub_binary64_765` `unsub-neg_binary64_754` `mul-1-neg_binary64_752` `/-rgt-identity_binary64_751` `remove-double-neg_binary64_748` `+-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-neg-in_binary64_721` `distribute-lft-neg-out_binary64_719` `distribute-rgt-out--_binary64_714` `distribute-lft-out--_binary64_712` `associate--r-_binary64_699` `associate--l-_binary64_698` `associate--l+_binary64_697` `associate-+r-_binary64_694`

Counts

88 → 71

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	56	1338
1	98	1221
2	288	1193
3	943	1169
4	1738	1015
5	2628	1015
6	4774	1015
7	4802	1015

prune201.0ms (1.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	71	6	77

Error

0.0b

Counts

77 → 6

Compiler

Compiled 3257 to 2470 computations (24.2% saved)

regimes804.0ms (6.5%)

Accuracy

Total 0.1b remaining (60.8%)

Threshold costs 0.1b (60.8%)

Compiler

Compiled 9928 to 8470 computations (14.7% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64_691`
1×	`+-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` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	17	20
2	17	20

end0.0ms (0%)

sample4.3s (34.6%)

Algorithm

1×

intervals

Results

744.0ms	1705×	body	1024	valid
592.0ms	2039×	body	1024	invalid
326.0ms	4352×	body	128	valid
303.0ms	1193×	body	512	valid
255.0ms	3437×	body	128	invalid
203.0ms	1002×	body	512	invalid
101.0ms	677×	body	256	valid
75.0ms	456×	body	256	invalid
49.0ms	73×	body	2048	valid

Compiler

Compiled 1006 to 859 computations (14.6% saved)

Details

analyze713.0ms (5.8%)

sample107.0ms (0.9%)

simplify102.0ms (0.8%)

prune6.0ms (0%)

localize14.0ms (0.1%)

rewrite115.0ms (0.9%)

series638.0ms (5.2%)

simplify145.0ms (1.2%)

prune87.0ms (0.7%)

localize23.0ms (0.2%)

rewrite290.0ms (2.4%)

series1.3s (10.9%)

simplify143.0ms (1.2%)

prune175.0ms (1.4%)

localize26.0ms (0.2%)

rewrite322.0ms (2.6%)

series1.5s (12.3%)

simplify155.0ms (1.3%)

prune204.0ms (1.7%)

localize29.0ms (0.2%)

rewrite268.0ms (2.2%)

series481.0ms (3.9%)

simplify119.0ms (1%)

prune201.0ms (1.6%)

regimes804.0ms (6.5%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample4.3s (34.6%)

Profiling