Details

analyze857.0ms (9.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

4×	`associate-/r*_binary64_14344`
2×	`*-commutative_binary64_14331`
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_14663` `erf-erfc_binary64_14662` `erf-odd_binary64_14661` `if-if-and-not_binary64_14660` `if-if-and_binary64_14659` `if-if-or-not_binary64_14658` `if-if-or_binary64_14657` `if-not_binary64_14656` `if-same_binary64_14655` `if-false_binary64_14654` `if-true_binary64_14653` `not-gte_binary64_14652` `not-lte_binary64_14651` `not-gt_binary64_14650` `not-lt_binary64_14649` `gte-same_binary64_14648` `lte-same_binary64_14647` `gt-same_binary64_14646` `lt-same_binary64_14645` `sinh---cosh_binary64_14592` `sinh-+-cosh_binary64_14591` `sinh-cosh_binary64_14590` `tanh-def-c_binary64_14589` `tanh-def-b_binary64_14588` `tanh-def-a_binary64_14587` `cosh-def_binary64_14586` `sinh-def_binary64_14585` `tan-neg_binary64_14532` `cos-neg_binary64_14531` `sin-neg_binary64_14530` `tan-0_binary64_14529` `cos-0_binary64_14528` `sin-0_binary64_14527` `hang-m-tan_binary64_14526` `hang-p-tan_binary64_14525` `hang-m0-tan_binary64_14524` `hang-p0-tan_binary64_14523` `hang-0m-tan_binary64_14522` `hang-0p-tan_binary64_14521` `tan-+PI/2_binary64_14520` `tan-+PI_binary64_14519` `tan-PI_binary64_14518` `tan-PI/3_binary64_14517` `tan-PI/4_binary64_14516` `tan-PI/6_binary64_14515` `cos-+PI/2_binary64_14514` `cos-+PI_binary64_14513` `cos-PI_binary64_14512` `cos-PI/2_binary64_14511` `cos-PI/3_binary64_14510` `cos-PI/4_binary64_14509` `cos-PI/6_binary64_14508` `sin-+PI/2_binary64_14507` `sin-+PI_binary64_14506` `sin-PI_binary64_14505` `sin-PI/2_binary64_14504` `sin-PI/3_binary64_14503` `sin-PI/4_binary64_14502` `sin-PI/6_binary64_14501` `sub-1-sin_binary64_14500` `sub-1-cos_binary64_14499` `-1-add-sin_binary64_14498` `-1-add-cos_binary64_14497` `1-sub-sin_binary64_14496` `1-sub-cos_binary64_14495` `cos-sin-sum_binary64_14494` `log-E_binary64_14490` `log-pow_binary64_14489` `log-rec_binary64_14488` `log-div_binary64_14487` `log-prod_binary64_14486` `pow-base-0_binary64_14484` `unpow1/3_binary64_14467` `unpow3_binary64_14466` `unpow2_binary64_14465` `unpow1/2_binary64_14464` `pow-plus_binary64_14463` `exp-to-pow_binary64_14462` `pow-base-1_binary64_14460` `unpow0_binary64_14459` `unpow1_binary64_14458` `unpow-1_binary64_14457` `exp-lft-cube_binary64_14456` `exp-lft-sqr_binary64_14455` `exp-cbrt_binary64_14454` `exp-sqrt_binary64_14453` `exp-prod_binary64_14452` `div-exp_binary64_14451` `rec-exp_binary64_14450` `prod-exp_binary64_14449` `exp-diff_binary64_14448` `exp-neg_binary64_14447` `exp-sum_binary64_14446` `e-exp-1_binary64_14445` `1-exp_binary64_14444` `exp-1-e_binary64_14443` `exp-0_binary64_14442` `rem-log-exp_binary64_14441` `rem-exp-log_binary64_14440` `cube-unmult_binary64_14437` `cube-mult_binary64_14430` `cube-div_binary64_14429` `cube-prod_binary64_14428` `cube-neg_binary64_14427` `rem-3cbrt-rft_binary64_14426` `rem-3cbrt-lft_binary64_14425` `rem-cbrt-cube_binary64_14424` `rem-cube-cbrt_binary64_14423` `sqr-abs_binary64_14415` `sqr-neg_binary64_14414` `rem-sqrt-square_binary64_14413` `rem-square-sqrt_binary64_14412` `times-frac_binary64_14406` `div-sub_binary64_14405` `neg-mul-1_binary64_14396` `neg-sub0_binary64_14395` `unsub-neg_binary64_14394` `sub-neg_binary64_14393` `mul-1-neg_binary64_14392` `/-rgt-identity_binary64_14391` `-rgt-identity_binary64_14390` `-lft-identity_binary64_14389` `remove-double-neg_binary64_14388` `sub0-neg_binary64_14387` `--rgt-identity_binary64_14386` `+-rgt-identity_binary64_14385` `+-lft-identity_binary64_14384` `mul0-rgt_binary64_14383` `mul0-lft_binary64_14382` `div0_binary64_14381` `-inverses_binary64_14380` `+-inverses_binary64_14379` `lft-mult-inverse_binary64_14378` `rgt-mult-inverse_binary64_14377` `remove-double-div_binary64_14376` `pow-sqr_binary64_14373` `sqr-pow_binary64_14372` `difference-of-sqr--1_binary64_14371` `difference-of-sqr-1_binary64_14370` `difference-of-squares_binary64_14369` `unswap-sqr_binary64_14368` `swap-sqr_binary64_14367` `cancel-sign-sub-inv_binary64_14366` `cancel-sign-sub_binary64_14365` `distribute-neg-frac_binary64_14364` `distribute-frac-neg_binary64_14363` `distribute-neg-out_binary64_14362` `distribute-neg-in_binary64_14361` `distribute-rgt-neg-out_binary64_14360` `distribute-lft-neg-out_binary64_14359` `distribute-rgt-neg-in_binary64_14358` `distribute-lft-neg-in_binary64_14357` `distribute-rgt1-in_binary64_14356` `distribute-lft1-in_binary64_14355` `distribute-rgt-out--_binary64_14354` `distribute-rgt-out_binary64_14353` `distribute-lft-out--_binary64_14352` `distribute-lft-out_binary64_14351` `distribute-rgt-in_binary64_14350` `distribute-lft-in_binary64_14349` `count-2_binary64_14348` `associate-/l/_binary64_14347` `associate-/r/_binary64_14346` `associate-/l_binary64_14345` `associate-l/_binary64_14343` `associate-r/_binary64_14342` `associate-l_binary64_14341` `associate-r_binary64_14340` `associate--r-_binary64_14339` `associate--l-_binary64_14338` `associate--l+_binary64_14337` `associate--r+_binary64_14336` `associate-+l-_binary64_14335` `associate-+r-_binary64_14334` `associate-+l+_binary64_14333` `associate-+r+_binary64_14332` `+-commutative_binary64_14330`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	20	40
2	24	40
3	24	40
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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
18.7%	81.2%	0.1%	7
32.8%	67.1%	0.1%	8
38.2%	61.7%	0.1%	9
41%	58.9%	0.1%	10
43.9%	56%	0.1%	11
45.4%	54.5%	0.1%	12
46.9%	53%	0.1%	13
47.6%	52.3%	0.1%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample57.0ms (0.6%)

Algorithm

1×

intervals

Results

14.0ms	33×	body	2048	valid
13.0ms	142×	body	128	valid
8.0ms	29×	body	1024	valid
7.0ms	32×	body	512	valid
3.0ms	20×	body	256	valid

Compiler

Compiled 27 to 25 computations (7.4% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`associate-/r*_binary64_14344`
1×	`*-commutative_binary64_14331`
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_14663` `erf-erfc_binary64_14662` `erf-odd_binary64_14661` `if-if-and-not_binary64_14660` `if-if-and_binary64_14659` `if-if-or-not_binary64_14658` `if-if-or_binary64_14657` `if-not_binary64_14656` `if-same_binary64_14655` `if-false_binary64_14654` `if-true_binary64_14653` `not-gte_binary64_14652` `not-lte_binary64_14651` `not-gt_binary64_14650` `not-lt_binary64_14649` `gte-same_binary64_14648` `lte-same_binary64_14647` `gt-same_binary64_14646` `lt-same_binary64_14645` `sinh---cosh_binary64_14592` `sinh-+-cosh_binary64_14591` `sinh-cosh_binary64_14590` `tanh-def-c_binary64_14589` `tanh-def-b_binary64_14588` `tanh-def-a_binary64_14587` `cosh-def_binary64_14586` `sinh-def_binary64_14585` `tan-neg_binary64_14532` `cos-neg_binary64_14531` `sin-neg_binary64_14530` `tan-0_binary64_14529` `cos-0_binary64_14528` `sin-0_binary64_14527` `hang-m-tan_binary64_14526` `hang-p-tan_binary64_14525` `hang-m0-tan_binary64_14524` `hang-p0-tan_binary64_14523` `hang-0m-tan_binary64_14522` `hang-0p-tan_binary64_14521` `tan-+PI/2_binary64_14520` `tan-+PI_binary64_14519` `tan-PI_binary64_14518` `tan-PI/3_binary64_14517` `tan-PI/4_binary64_14516` `tan-PI/6_binary64_14515` `cos-+PI/2_binary64_14514` `cos-+PI_binary64_14513` `cos-PI_binary64_14512` `cos-PI/2_binary64_14511` `cos-PI/3_binary64_14510` `cos-PI/4_binary64_14509` `cos-PI/6_binary64_14508` `sin-+PI/2_binary64_14507` `sin-+PI_binary64_14506` `sin-PI_binary64_14505` `sin-PI/2_binary64_14504` `sin-PI/3_binary64_14503` `sin-PI/4_binary64_14502` `sin-PI/6_binary64_14501` `sub-1-sin_binary64_14500` `sub-1-cos_binary64_14499` `-1-add-sin_binary64_14498` `-1-add-cos_binary64_14497` `1-sub-sin_binary64_14496` `1-sub-cos_binary64_14495` `cos-sin-sum_binary64_14494` `log-E_binary64_14490` `log-pow_binary64_14489` `log-rec_binary64_14488` `log-div_binary64_14487` `log-prod_binary64_14486` `pow-base-0_binary64_14484` `unpow1/3_binary64_14467` `unpow3_binary64_14466` `unpow2_binary64_14465` `unpow1/2_binary64_14464` `pow-plus_binary64_14463` `exp-to-pow_binary64_14462` `pow-base-1_binary64_14460` `unpow0_binary64_14459` `unpow1_binary64_14458` `unpow-1_binary64_14457` `exp-lft-cube_binary64_14456` `exp-lft-sqr_binary64_14455` `exp-cbrt_binary64_14454` `exp-sqrt_binary64_14453` `exp-prod_binary64_14452` `div-exp_binary64_14451` `rec-exp_binary64_14450` `prod-exp_binary64_14449` `exp-diff_binary64_14448` `exp-neg_binary64_14447` `exp-sum_binary64_14446` `e-exp-1_binary64_14445` `1-exp_binary64_14444` `exp-1-e_binary64_14443` `exp-0_binary64_14442` `rem-log-exp_binary64_14441` `rem-exp-log_binary64_14440` `cube-unmult_binary64_14437` `cube-mult_binary64_14430` `cube-div_binary64_14429` `cube-prod_binary64_14428` `cube-neg_binary64_14427` `rem-3cbrt-rft_binary64_14426` `rem-3cbrt-lft_binary64_14425` `rem-cbrt-cube_binary64_14424` `rem-cube-cbrt_binary64_14423` `sqr-abs_binary64_14415` `sqr-neg_binary64_14414` `rem-sqrt-square_binary64_14413` `rem-square-sqrt_binary64_14412` `times-frac_binary64_14406` `div-sub_binary64_14405` `neg-mul-1_binary64_14396` `neg-sub0_binary64_14395` `unsub-neg_binary64_14394` `sub-neg_binary64_14393` `mul-1-neg_binary64_14392` `/-rgt-identity_binary64_14391` `-rgt-identity_binary64_14390` `-lft-identity_binary64_14389` `remove-double-neg_binary64_14388` `sub0-neg_binary64_14387` `--rgt-identity_binary64_14386` `+-rgt-identity_binary64_14385` `+-lft-identity_binary64_14384` `mul0-rgt_binary64_14383` `mul0-lft_binary64_14382` `div0_binary64_14381` `-inverses_binary64_14380` `+-inverses_binary64_14379` `lft-mult-inverse_binary64_14378` `rgt-mult-inverse_binary64_14377` `remove-double-div_binary64_14376` `pow-sqr_binary64_14373` `sqr-pow_binary64_14372` `difference-of-sqr--1_binary64_14371` `difference-of-sqr-1_binary64_14370` `difference-of-squares_binary64_14369` `unswap-sqr_binary64_14368` `swap-sqr_binary64_14367` `cancel-sign-sub-inv_binary64_14366` `cancel-sign-sub_binary64_14365` `distribute-neg-frac_binary64_14364` `distribute-frac-neg_binary64_14363` `distribute-neg-out_binary64_14362` `distribute-neg-in_binary64_14361` `distribute-rgt-neg-out_binary64_14360` `distribute-lft-neg-out_binary64_14359` `distribute-rgt-neg-in_binary64_14358` `distribute-lft-neg-in_binary64_14357` `distribute-rgt1-in_binary64_14356` `distribute-lft1-in_binary64_14355` `distribute-rgt-out--_binary64_14354` `distribute-rgt-out_binary64_14353` `distribute-lft-out--_binary64_14352` `distribute-lft-out_binary64_14351` `distribute-rgt-in_binary64_14350` `distribute-lft-in_binary64_14349` `count-2_binary64_14348` `associate-/l/_binary64_14347` `associate-/r/_binary64_14346` `associate-/l_binary64_14345` `associate-l/_binary64_14343` `associate-r/_binary64_14342` `associate-l_binary64_14341` `associate-r_binary64_14340` `associate--r-_binary64_14339` `associate--l-_binary64_14338` `associate--l+_binary64_14337` `associate--r+_binary64_14336` `associate-+l-_binary64_14335` `associate-+r-_binary64_14334` `associate-+l+_binary64_14333` `associate-+r+_binary64_14332` `+-commutative_binary64_14330`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	12	20
2	14	20
3	14	20

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

35.5b

Counts

1 → 1

Compiler

Compiled 13 to 11 computations (15.4% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

7.9b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
27.3b	(sin.f64 (/.f64 x (*.f64 y 2)))
27.7b	(tan.f64 (/.f64 x (*.f64 y 2)))

rewrite98.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

35.5b

Rules

11×	`add-cube-cbrt_binary64_14435` `add-sqr-sqrt_binary64_14422` `*-un-lft-identity_binary64_14400`
9×	`times-frac_binary64_14406`
5×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
3×	`pow1_binary64_14461` `add-log-exp_binary64_14439` `associate-/l_binary64_14345` `associate-/r_binary64_14344`
2×	`tan-quot_binary64_14559`
1×	`div-exp_binary64_14451` `cbrt-undiv_binary64_14434` `frac-2neg_binary64_14411` `clear-num_binary64_14399` `div-inv_binary64_14397` `associate-/l/_binary64_14347`

Counts

3 → 43

Calls

3 calls:

6.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
2.0ms	(tan.f64 (/.f64 x (*.f64 y 2)))
2.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))

Compiler

Compiled 1017 to 747 computations (26.5% saved)

series531.0ms (5.9%)

Error

25.5b

Counts

3 → 27

Calls

3 calls:

254.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2))) (sin.f64 (/.f64 x (.f64 y 2))))
171.0ms	(tan.f64 (/.f64 x (*.f64 y 2)))
73.0ms	(sin.f64 (/.f64 x (*.f64 y 2)))

Compiler

Compiled 1104 to 867 computations (21.5% saved)

simplify123.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

568×	`associate-*l/_binary64_14343`
527×	`associate-/r*_binary64_14344`
509×	`associate-*r/_binary64_14342`
402×	`associate-l_binary64_14341`
282×	`associate-/l/_binary64_14347`
216×	`unswap-sqr_binary64_14368`
212×	`associate-/r/_binary64_14346`
144×	`times-frac_binary64_14406`
132×	`associate-/l*_binary64_14345`
127×	`div-sub_binary64_14405`
125×	`distribute-neg-frac_binary64_14364`
114×	`distribute-rgt-neg-in_binary64_14358` `distribute-lft-neg-in_binary64_14357`
90×	`neg-mul-1_binary64_14396`
88×	`neg-sub0_binary64_14395`
86×	`cancel-sign-sub-inv_binary64_14366`
63×	`associate-r_binary64_14340`
51×	`sub-neg_binary64_14393`
45×	`sqr-pow_binary64_14372`
42×	`*-commutative_binary64_14331`
30×	`unpow3_binary64_14466`
24×	`cube-unmult_binary64_14437`
20×	`pow-plus_binary64_14463`
17×	`cube-div_binary64_14429`
15×	`cube-mult_binary64_14430`
13×	`cube-prod_binary64_14428`
12×	`*-lft-identity_binary64_14389`
6×	`*-rgt-identity_binary64_14390` `distribute-rgt-out_binary64_14353` `+-commutative_binary64_14330`
5×	`pow-sqr_binary64_14373`
4×	`/-rgt-identity_binary64_14391` `div0_binary64_14381` `distribute-rgt-out--_binary64_14354` `distribute-lft-out_binary64_14351`
3×	`log-div_binary64_14487` `unpow1/2_binary64_14464` `associate-+l-_binary64_14335` `associate-+r-_binary64_14334`
2×	`log-prod_binary64_14486` `unpow2_binary64_14465` `unpow1_binary64_14458` `exp-prod_binary64_14452` `rem-sqrt-square_binary64_14413` `sub0-neg_binary64_14387` `+-rgt-identity_binary64_14385` `distribute-lft-out--_binary64_14352` `associate--l-_binary64_14338`
1×	`1-exp_binary64_14444` `exp-1-e_binary64_14443` `remove-double-neg_binary64_14388` `count-2_binary64_14348`
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_14663` `erf-erfc_binary64_14662` `erf-odd_binary64_14661` `if-if-and-not_binary64_14660` `if-if-and_binary64_14659` `if-if-or-not_binary64_14658` `if-if-or_binary64_14657` `if-not_binary64_14656` `if-same_binary64_14655` `if-false_binary64_14654` `if-true_binary64_14653` `not-gte_binary64_14652` `not-lte_binary64_14651` `not-gt_binary64_14650` `not-lt_binary64_14649` `gte-same_binary64_14648` `lte-same_binary64_14647` `gt-same_binary64_14646` `lt-same_binary64_14645` `sinh---cosh_binary64_14592` `sinh-+-cosh_binary64_14591` `sinh-cosh_binary64_14590` `tanh-def-c_binary64_14589` `tanh-def-b_binary64_14588` `tanh-def-a_binary64_14587` `cosh-def_binary64_14586` `sinh-def_binary64_14585` `tan-neg_binary64_14532` `cos-neg_binary64_14531` `sin-neg_binary64_14530` `tan-0_binary64_14529` `cos-0_binary64_14528` `sin-0_binary64_14527` `hang-m-tan_binary64_14526` `hang-p-tan_binary64_14525` `hang-m0-tan_binary64_14524` `hang-p0-tan_binary64_14523` `hang-0m-tan_binary64_14522` `hang-0p-tan_binary64_14521` `tan-+PI/2_binary64_14520` `tan-+PI_binary64_14519` `tan-PI_binary64_14518` `tan-PI/3_binary64_14517` `tan-PI/4_binary64_14516` `tan-PI/6_binary64_14515` `cos-+PI/2_binary64_14514` `cos-+PI_binary64_14513` `cos-PI_binary64_14512` `cos-PI/2_binary64_14511` `cos-PI/3_binary64_14510` `cos-PI/4_binary64_14509` `cos-PI/6_binary64_14508` `sin-+PI/2_binary64_14507` `sin-+PI_binary64_14506` `sin-PI_binary64_14505` `sin-PI/2_binary64_14504` `sin-PI/3_binary64_14503` `sin-PI/4_binary64_14502` `sin-PI/6_binary64_14501` `sub-1-sin_binary64_14500` `sub-1-cos_binary64_14499` `-1-add-sin_binary64_14498` `-1-add-cos_binary64_14497` `1-sub-sin_binary64_14496` `1-sub-cos_binary64_14495` `cos-sin-sum_binary64_14494` `log-E_binary64_14490` `log-pow_binary64_14489` `log-rec_binary64_14488` `pow-base-0_binary64_14484` `unpow1/3_binary64_14467` `exp-to-pow_binary64_14462` `pow-base-1_binary64_14460` `unpow0_binary64_14459` `unpow-1_binary64_14457` `exp-lft-cube_binary64_14456` `exp-lft-sqr_binary64_14455` `exp-cbrt_binary64_14454` `exp-sqrt_binary64_14453` `div-exp_binary64_14451` `rec-exp_binary64_14450` `prod-exp_binary64_14449` `exp-diff_binary64_14448` `exp-neg_binary64_14447` `exp-sum_binary64_14446` `e-exp-1_binary64_14445` `exp-0_binary64_14442` `rem-log-exp_binary64_14441` `rem-exp-log_binary64_14440` `cube-neg_binary64_14427` `rem-3cbrt-rft_binary64_14426` `rem-3cbrt-lft_binary64_14425` `rem-cbrt-cube_binary64_14424` `rem-cube-cbrt_binary64_14423` `sqr-abs_binary64_14415` `sqr-neg_binary64_14414` `rem-square-sqrt_binary64_14412` `unsub-neg_binary64_14394` `mul-1-neg_binary64_14392` `--rgt-identity_binary64_14386` `+-lft-identity_binary64_14384` `mul0-rgt_binary64_14383` `mul0-lft_binary64_14382` `*-inverses_binary64_14380` `+-inverses_binary64_14379` `lft-mult-inverse_binary64_14378` `rgt-mult-inverse_binary64_14377` `remove-double-div_binary64_14376` `difference-of-sqr--1_binary64_14371` `difference-of-sqr-1_binary64_14370` `difference-of-squares_binary64_14369` `swap-sqr_binary64_14367` `cancel-sign-sub_binary64_14365` `distribute-frac-neg_binary64_14363` `distribute-neg-out_binary64_14362` `distribute-neg-in_binary64_14361` `distribute-rgt-neg-out_binary64_14360` `distribute-lft-neg-out_binary64_14359` `distribute-rgt1-in_binary64_14356` `distribute-lft1-in_binary64_14355` `distribute-rgt-in_binary64_14350` `distribute-lft-in_binary64_14349` `associate--r-_binary64_14339` `associate--l+_binary64_14337` `associate--r+_binary64_14336` `associate-+l+_binary64_14333` `associate-+r+_binary64_14332`

Counts

70 → 18

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	82	1525
1	159	1405
2	352	1387
3	1232	1387
4	4397	1387
5	4971	1387
6	4989	1387
7	4951	1387

prune36.0ms (0.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	10	8	18
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	11	8	19

Error

27.2b

Counts

19 → 8

Compiler

Compiled 463 to 327 computations (29.4% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.3b	(*.f64 (/.f64 x y) (/.f64 x y))

rewrite93.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

27.2b

Rules

41×	`add-sqr-sqrt_binary64_14422`
40×	`times-frac_binary64_14406`
29×	`add-cube-cbrt_binary64_14435` `*-un-lft-identity_binary64_14400`
13×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436` `swap-sqr_binary64_14367` `associate-l_binary64_14341` `associate-r_binary64_14340`
8×	`pow1_binary64_14461`
4×	`div-exp_binary64_14451` `prod-exp_binary64_14449` `cbrt-unprod_binary64_14433` `cbrt-undiv_binary64_14434` `unswap-sqr_binary64_14368` `div-inv_binary64_14397`
1×	`pow2_binary64_14481` `pow-prod-down_binary64_14471` `pow-prod-up_binary64_14470` `pow-plus_binary64_14463` `add-log-exp_binary64_14439` `frac-times_binary64_14410` `pow-sqr_binary64_14373` `associate-l/_binary64_14343` `associate-r/_binary64_14342` `*-commutative_binary64_14331`

Counts

1 → 67

Calls

1 calls:

12.0ms

(*.f64 (/.f64 x y) (/.f64 x y))

Compiler

Compiled 1327 to 497 computations (62.5% saved)

series126.0ms (1.4%)

Error

27.2b

Counts

1 → 6

Calls

1 calls:

121.0ms

(*.f64 (/.f64 x y) (/.f64 x y))

Compiler

Compiled 198 to 188 computations (5.1% saved)

simplify93.0ms (1%)

Algorithm

1×	egg-herbie

Rules

726×	`associate-/l*_binary64_14345`
529×	`associate-*l/_binary64_14343`
408×	`times-frac_binary64_14406`
392×	`unswap-sqr_binary64_14368` `associate-*r/_binary64_14342`
349×	`associate-/l/_binary64_14347`
309×	`log-div_binary64_14487`
287×	`log-prod_binary64_14486`
200×	`associate-/r*_binary64_14344`
153×	`associate-/r/_binary64_14346`
144×	`*-commutative_binary64_14331`
110×	`swap-sqr_binary64_14367`
94×	`associate-l_binary64_14341`
91×	`cube-div_binary64_14429` `associate-r_binary64_14340`
86×	`cube-prod_binary64_14428`
72×	`*-rgt-identity_binary64_14390`
60×	`exp-prod_binary64_14452`
58×	`sqr-pow_binary64_14372`
53×	`*-lft-identity_binary64_14389`
29×	`/-rgt-identity_binary64_14391`
27×	`log-rec_binary64_14488`
25×	`sub-neg_binary64_14393`
24×	`log-pow_binary64_14489`
17×	`pow-sqr_binary64_14373`
16×	`pow-plus_binary64_14463`
12×	`associate-+r+_binary64_14332`
11×	`unpow3_binary64_14466` `neg-mul-1_binary64_14396` `neg-sub0_binary64_14395` `remove-double-div_binary64_14376`
10×	`associate-+l+_binary64_14333`
9×	`cube-unmult_binary64_14437`
8×	`unsub-neg_binary64_14394`
7×	`cube-mult_binary64_14430` `distribute-neg-in_binary64_14361`
6×	`rem-sqrt-square_binary64_14413` `associate--r+_binary64_14336` `associate-+l-_binary64_14335` `associate-+r-_binary64_14334`
5×	`distribute-rgt-in_binary64_14350` `distribute-lft-in_binary64_14349` `+-commutative_binary64_14330`
3×	`unpow1/2_binary64_14464` `rem-3cbrt-rft_binary64_14426` `rem-3cbrt-lft_binary64_14425` `count-2_binary64_14348`
2×	`unpow2_binary64_14465` `unpow1_binary64_14458` `rem-square-sqrt_binary64_14412` `remove-double-neg_binary64_14388` `+-rgt-identity_binary64_14385` `associate--r-_binary64_14339`
1×	`1-exp_binary64_14444` `exp-1-e_binary64_14443` `--rgt-identity_binary64_14386` `distribute-rgt-neg-out_binary64_14360` `distribute-lft-neg-out_binary64_14359` `associate--l+_binary64_14337`
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_14663` `erf-erfc_binary64_14662` `erf-odd_binary64_14661` `if-if-and-not_binary64_14660` `if-if-and_binary64_14659` `if-if-or-not_binary64_14658` `if-if-or_binary64_14657` `if-not_binary64_14656` `if-same_binary64_14655` `if-false_binary64_14654` `if-true_binary64_14653` `not-gte_binary64_14652` `not-lte_binary64_14651` `not-gt_binary64_14650` `not-lt_binary64_14649` `gte-same_binary64_14648` `lte-same_binary64_14647` `gt-same_binary64_14646` `lt-same_binary64_14645` `sinh---cosh_binary64_14592` `sinh-+-cosh_binary64_14591` `sinh-cosh_binary64_14590` `tanh-def-c_binary64_14589` `tanh-def-b_binary64_14588` `tanh-def-a_binary64_14587` `cosh-def_binary64_14586` `sinh-def_binary64_14585` `tan-neg_binary64_14532` `cos-neg_binary64_14531` `sin-neg_binary64_14530` `tan-0_binary64_14529` `cos-0_binary64_14528` `sin-0_binary64_14527` `hang-m-tan_binary64_14526` `hang-p-tan_binary64_14525` `hang-m0-tan_binary64_14524` `hang-p0-tan_binary64_14523` `hang-0m-tan_binary64_14522` `hang-0p-tan_binary64_14521` `tan-+PI/2_binary64_14520` `tan-+PI_binary64_14519` `tan-PI_binary64_14518` `tan-PI/3_binary64_14517` `tan-PI/4_binary64_14516` `tan-PI/6_binary64_14515` `cos-+PI/2_binary64_14514` `cos-+PI_binary64_14513` `cos-PI_binary64_14512` `cos-PI/2_binary64_14511` `cos-PI/3_binary64_14510` `cos-PI/4_binary64_14509` `cos-PI/6_binary64_14508` `sin-+PI/2_binary64_14507` `sin-+PI_binary64_14506` `sin-PI_binary64_14505` `sin-PI/2_binary64_14504` `sin-PI/3_binary64_14503` `sin-PI/4_binary64_14502` `sin-PI/6_binary64_14501` `sub-1-sin_binary64_14500` `sub-1-cos_binary64_14499` `-1-add-sin_binary64_14498` `-1-add-cos_binary64_14497` `1-sub-sin_binary64_14496` `1-sub-cos_binary64_14495` `cos-sin-sum_binary64_14494` `log-E_binary64_14490` `pow-base-0_binary64_14484` `unpow1/3_binary64_14467` `exp-to-pow_binary64_14462` `pow-base-1_binary64_14460` `unpow0_binary64_14459` `unpow-1_binary64_14457` `exp-lft-cube_binary64_14456` `exp-lft-sqr_binary64_14455` `exp-cbrt_binary64_14454` `exp-sqrt_binary64_14453` `div-exp_binary64_14451` `rec-exp_binary64_14450` `prod-exp_binary64_14449` `exp-diff_binary64_14448` `exp-neg_binary64_14447` `exp-sum_binary64_14446` `e-exp-1_binary64_14445` `exp-0_binary64_14442` `rem-log-exp_binary64_14441` `rem-exp-log_binary64_14440` `cube-neg_binary64_14427` `rem-cbrt-cube_binary64_14424` `rem-cube-cbrt_binary64_14423` `sqr-abs_binary64_14415` `sqr-neg_binary64_14414` `div-sub_binary64_14405` `mul-1-neg_binary64_14392` `sub0-neg_binary64_14387` `+-lft-identity_binary64_14384` `mul0-rgt_binary64_14383` `mul0-lft_binary64_14382` `div0_binary64_14381` `*-inverses_binary64_14380` `+-inverses_binary64_14379` `lft-mult-inverse_binary64_14378` `rgt-mult-inverse_binary64_14377` `difference-of-sqr--1_binary64_14371` `difference-of-sqr-1_binary64_14370` `difference-of-squares_binary64_14369` `cancel-sign-sub-inv_binary64_14366` `cancel-sign-sub_binary64_14365` `distribute-neg-frac_binary64_14364` `distribute-frac-neg_binary64_14363` `distribute-neg-out_binary64_14362` `distribute-rgt-neg-in_binary64_14358` `distribute-lft-neg-in_binary64_14357` `distribute-rgt1-in_binary64_14356` `distribute-lft1-in_binary64_14355` `distribute-rgt-out--_binary64_14354` `distribute-rgt-out_binary64_14353` `distribute-lft-out--_binary64_14352` `distribute-lft-out_binary64_14351` `associate--l-_binary64_14338`

Counts

73 → 67

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	1210
1	308	1019
2	966	853
3	3549	779
4	4703	779
5	5182	779

prune83.0ms (0.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	60	7	67
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	61	14	75

Error

27.2b

Counts

75 → 14

Compiler

Compiled 1231 to 705 computations (42.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(pow.f64 (cbrt.f64 (/.f64 x y)) 4)
15.2b	(cbrt.f64 (/.f64 x y))
15.2b	(cbrt.f64 (/.f64 x y))
15.2b	(cbrt.f64 (/.f64 x y))

rewrite145.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

27.2b

Rules

52×	`cbrt-prod_binary64_14431`
36×	`times-frac_binary64_14406`
34×	`add-cube-cbrt_binary64_14435` `add-sqr-sqrt_binary64_14422` `*-un-lft-identity_binary64_14400`
16×	`unpow-prod-down_binary64_14479`
5×	`pow1_binary64_14461` `add-exp-log_binary64_14438`
4×	`pow1/3_binary64_14482` `add-log-exp_binary64_14439` `add-cbrt-cube_binary64_14436` `div-inv_binary64_14397`
3×	`cbrt-div_binary64_14432` `pow-unpow_binary64_14477`
2×	`pow-pow_binary64_14472`
1×	`pow-to-exp_binary64_14469` `pow-exp_binary64_14468` `sqr-pow_binary64_14372`

Counts

4 → 97

Calls

4 calls:

5.0ms	(pow.f64 (cbrt.f64 (/.f64 x y)) 4)
3.0ms	(cbrt.f64 (/.f64 x y))
3.0ms	(cbrt.f64 (/.f64 x y))
3.0ms	(cbrt.f64 (/.f64 x y))

Compiler

Compiled 2645 to 1003 computations (62.1% saved)

series1.4s (15.8%)

Error

27.2b

Counts

4 → 24

Calls

4 calls:

476.0ms	(pow.f64 (cbrt.f64 (/.f64 x y)) 4)
307.0ms	(cbrt.f64 (/.f64 x y))
303.0ms	(cbrt.f64 (/.f64 x y))
298.0ms	(cbrt.f64 (/.f64 x y))

Compiler

Compiled 1980 to 1424 computations (28.1% saved)

simplify107.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

614×	`times-frac_binary64_14406`
342×	`unswap-sqr_binary64_14368`
310×	`exp-sum_binary64_14446`
260×	`*-commutative_binary64_14331`
212×	`exp-prod_binary64_14452`
204×	`exp-diff_binary64_14448`
172×	`sqr-pow_binary64_14372`
165×	`log-prod_binary64_14486`
136×	`cube-prod_binary64_14428`
112×	`associate-+r+_binary64_14332`
108×	`associate-l_binary64_14341`
102×	`prod-exp_binary64_14449`
95×	`associate-r_binary64_14340`
92×	`distribute-rgt-in_binary64_14350`
83×	`associate-+r-_binary64_14334`
82×	`pow-plus_binary64_14463`
81×	`distribute-lft-in_binary64_14349`
68×	`cube-unmult_binary64_14437`
63×	`sub-neg_binary64_14393`
59×	`rem-sqrt-square_binary64_14413`
56×	`div-sub_binary64_14405` `associate--r+_binary64_14336`
53×	`associate-/l*_binary64_14345`
48×	`associate-+l+_binary64_14333`
45×	`associate-+l-_binary64_14335`
44×	`associate--r-_binary64_14339`
43×	`log-pow_binary64_14489`
42×	`associate-*r/_binary64_14342`
40×	`unsub-neg_binary64_14394` `pow-sqr_binary64_14373` `associate-/r*_binary64_14344`
37×	`associate-*l/_binary64_14343`
35×	`associate--l+_binary64_14337`
31×	`associate-/l/_binary64_14347`
30×	`swap-sqr_binary64_14367`
29×	`unpow2_binary64_14465`
28×	`log-div_binary64_14487` `unpow1/2_binary64_14464` `unpow1_binary64_14458`
27×	`associate--l-_binary64_14338` `+-commutative_binary64_14330`
25×	`rem-3cbrt-rft_binary64_14426`
24×	`cube-div_binary64_14429`
20×	`exp-to-pow_binary64_14462` `neg-mul-1_binary64_14396` `neg-sub0_binary64_14395` `distribute-neg-out_binary64_14362`
16×	`exp-neg_binary64_14447`
14×	`associate-/r/_binary64_14346`
13×	`unpow3_binary64_14466` `cancel-sign-sub-inv_binary64_14366`
12×	`cube-mult_binary64_14430`
11×	`unpow1/3_binary64_14467` `distribute-neg-in_binary64_14361` `distribute-rgt-neg-out_binary64_14360` `distribute-rgt-out_binary64_14353`
8×	`rem-exp-log_binary64_14440` `distribute-rgt-neg-in_binary64_14358`
7×	`distribute-frac-neg_binary64_14363` `distribute-lft-out_binary64_14351`
6×	`sub0-neg_binary64_14387` `distribute-lft-neg-out_binary64_14359` `distribute-lft-neg-in_binary64_14357` `count-2_binary64_14348`
5×	`log-rec_binary64_14488` `div-exp_binary64_14451` `*-rgt-identity_binary64_14390` `+-rgt-identity_binary64_14385`
4×	`--rgt-identity_binary64_14386`
3×	`rem-log-exp_binary64_14441` `/-rgt-identity_binary64_14391`
2×	`rec-exp_binary64_14450` `*-lft-identity_binary64_14389` `remove-double-neg_binary64_14388`
1×	`1-exp_binary64_14444` `exp-1-e_binary64_14443` `rem-3cbrt-lft_binary64_14425` `rem-cbrt-cube_binary64_14424` `distribute-rgt-out--_binary64_14354`
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_14663` `erf-erfc_binary64_14662` `erf-odd_binary64_14661` `if-if-and-not_binary64_14660` `if-if-and_binary64_14659` `if-if-or-not_binary64_14658` `if-if-or_binary64_14657` `if-not_binary64_14656` `if-same_binary64_14655` `if-false_binary64_14654` `if-true_binary64_14653` `not-gte_binary64_14652` `not-lte_binary64_14651` `not-gt_binary64_14650` `not-lt_binary64_14649` `gte-same_binary64_14648` `lte-same_binary64_14647` `gt-same_binary64_14646` `lt-same_binary64_14645` `sinh---cosh_binary64_14592` `sinh-+-cosh_binary64_14591` `sinh-cosh_binary64_14590` `tanh-def-c_binary64_14589` `tanh-def-b_binary64_14588` `tanh-def-a_binary64_14587` `cosh-def_binary64_14586` `sinh-def_binary64_14585` `tan-neg_binary64_14532` `cos-neg_binary64_14531` `sin-neg_binary64_14530` `tan-0_binary64_14529` `cos-0_binary64_14528` `sin-0_binary64_14527` `hang-m-tan_binary64_14526` `hang-p-tan_binary64_14525` `hang-m0-tan_binary64_14524` `hang-p0-tan_binary64_14523` `hang-0m-tan_binary64_14522` `hang-0p-tan_binary64_14521` `tan-+PI/2_binary64_14520` `tan-+PI_binary64_14519` `tan-PI_binary64_14518` `tan-PI/3_binary64_14517` `tan-PI/4_binary64_14516` `tan-PI/6_binary64_14515` `cos-+PI/2_binary64_14514` `cos-+PI_binary64_14513` `cos-PI_binary64_14512` `cos-PI/2_binary64_14511` `cos-PI/3_binary64_14510` `cos-PI/4_binary64_14509` `cos-PI/6_binary64_14508` `sin-+PI/2_binary64_14507` `sin-+PI_binary64_14506` `sin-PI_binary64_14505` `sin-PI/2_binary64_14504` `sin-PI/3_binary64_14503` `sin-PI/4_binary64_14502` `sin-PI/6_binary64_14501` `sub-1-sin_binary64_14500` `sub-1-cos_binary64_14499` `-1-add-sin_binary64_14498` `-1-add-cos_binary64_14497` `1-sub-sin_binary64_14496` `1-sub-cos_binary64_14495` `cos-sin-sum_binary64_14494` `log-E_binary64_14490` `pow-base-0_binary64_14484` `pow-base-1_binary64_14460` `unpow0_binary64_14459` `unpow-1_binary64_14457` `exp-lft-cube_binary64_14456` `exp-lft-sqr_binary64_14455` `exp-cbrt_binary64_14454` `exp-sqrt_binary64_14453` `e-exp-1_binary64_14445` `exp-0_binary64_14442` `cube-neg_binary64_14427` `rem-cube-cbrt_binary64_14423` `sqr-abs_binary64_14415` `sqr-neg_binary64_14414` `rem-square-sqrt_binary64_14412` `mul-1-neg_binary64_14392` `+-lft-identity_binary64_14384` `mul0-rgt_binary64_14383` `mul0-lft_binary64_14382` `div0_binary64_14381` `*-inverses_binary64_14380` `+-inverses_binary64_14379` `lft-mult-inverse_binary64_14378` `rgt-mult-inverse_binary64_14377` `remove-double-div_binary64_14376` `difference-of-sqr--1_binary64_14371` `difference-of-sqr-1_binary64_14370` `difference-of-squares_binary64_14369` `cancel-sign-sub_binary64_14365` `distribute-neg-frac_binary64_14364` `distribute-rgt1-in_binary64_14356` `distribute-lft1-in_binary64_14355` `distribute-lft-out--_binary64_14352`

Counts

121 → 81

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	138	1942
1	257	1824
2	494	1781
3	1222	1510
4	3211	1450
5	4996	1450

prune124.0ms (1.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	77	4	81
Fresh	5	8	13
Picked	1	0	1
Done	0	0	0
Total	83	12	95

Error

27.2b

Counts

95 → 12

Compiler

Compiled 2213 to 1050 computations (52.6% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

3.2b	(.f64 x (/.f64 x (.f64 y y)))
8.9b	(/.f64 x (*.f64 y y))

rewrite57.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

27.2b

Rules

16×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
11×	`add-sqr-sqrt_binary64_14422`
7×	`add-cube-cbrt_binary64_14435` `times-frac_binary64_14406` `-un-lft-identity_binary64_14400` `associate-r*_binary64_14340`
5×	`prod-exp_binary64_14449` `cbrt-unprod_binary64_14433`
4×	`pow1_binary64_14461` `div-exp_binary64_14451` `cbrt-undiv_binary64_14434`
3×	`associate-/l_binary64_14345` `associate-l*_binary64_14341`
2×	`add-log-exp_binary64_14439` `div-inv_binary64_14397` `unswap-sqr_binary64_14368`
1×	`frac-2neg_binary64_14411` `clear-num_binary64_14399` `associate-/r_binary64_14344` `pow-prod-down_binary64_14471` `associate-r/_binary64_14342` `*-commutative_binary64_14331`

Counts

2 → 49

Calls

2 calls:

10.0ms	(.f64 x (/.f64 x (.f64 y y)))
5.0ms	(/.f64 x (*.f64 y y))

Compiler

Compiled 840 to 344 computations (59% saved)

series226.0ms (2.5%)

Error

27.2b

Counts

2 → 12

Calls

2 calls:

120.0ms	(.f64 x (/.f64 x (.f64 y y)))
97.0ms	(/.f64 x (*.f64 y y))

Compiler

Compiled 396 to 356 computations (10.1% saved)

simplify97.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

644×	`times-frac_binary64_14406`
289×	`associate-/l*_binary64_14345`
271×	`associate-l_binary64_14341`
241×	`associate-r_binary64_14340`
235×	`unswap-sqr_binary64_14368`
232×	`associate-*l/_binary64_14343`
211×	`associate-*r/_binary64_14342`
184×	`log-prod_binary64_14486`
174×	`distribute-rgt-in_binary64_14350`
170×	`associate-/r*_binary64_14344`
161×	`cube-prod_binary64_14428`
150×	`sqr-pow_binary64_14372`
140×	`exp-prod_binary64_14452`
135×	`swap-sqr_binary64_14367`
127×	`distribute-lft-in_binary64_14349`
101×	`log-div_binary64_14487`
94×	`sub-neg_binary64_14393`
93×	`cube-div_binary64_14429`
88×	`associate--l-_binary64_14338`
68×	`div-sub_binary64_14405`
65×	`cancel-sign-sub-inv_binary64_14366`
64×	`unpow3_binary64_14466`
62×	`associate-/l/_binary64_14347`
60×	`associate-/r/_binary64_14346`
55×	`cube-mult_binary64_14430` `associate-+l+_binary64_14333`
52×	`associate--r-_binary64_14339`
51×	`distribute-neg-in_binary64_14361`
49×	`*-commutative_binary64_14331`
39×	`associate-+r+_binary64_14332`
35×	`unsub-neg_binary64_14394`
32×	`pow-sqr_binary64_14373`
30×	`associate--l+_binary64_14337`
27×	`rem-sqrt-square_binary64_14413` `neg-mul-1_binary64_14396`
26×	`distribute-rgt-neg-in_binary64_14358`
24×	`pow-plus_binary64_14463` `neg-sub0_binary64_14395`
23×	`log-pow_binary64_14489` `*-rgt-identity_binary64_14390` `distribute-lft-neg-in_binary64_14357`
22×	`*-lft-identity_binary64_14389`
20×	`distribute-lft-out--_binary64_14352`
19×	`associate--r+_binary64_14336` `associate-+l-_binary64_14335`
16×	`associate-+r-_binary64_14334`
14×	`+-commutative_binary64_14330`
13×	`cube-unmult_binary64_14437` `distribute-lft-out_binary64_14351`
12×	`log-rec_binary64_14488` `distribute-rgt-out_binary64_14353`
10×	`/-rgt-identity_binary64_14391` `count-2_binary64_14348`
9×	`+-rgt-identity_binary64_14385`
8×	`unpow1/2_binary64_14464`
6×	`distribute-neg-frac_binary64_14364` `distribute-rgt-out--_binary64_14354`
4×	`unpow2_binary64_14465`
3×	`--rgt-identity_binary64_14386` `distribute-neg-out_binary64_14362`
2×	`unpow1_binary64_14458` `remove-double-neg_binary64_14388` `sub0-neg_binary64_14387` `mul0-rgt_binary64_14383` `mul0-lft_binary64_14382` `distribute-rgt-neg-out_binary64_14360` `distribute-lft-neg-out_binary64_14359` `distribute-rgt1-in_binary64_14356`
1×	`exp-diff_binary64_14448` `exp-sum_binary64_14446` `1-exp_binary64_14444` `exp-1-e_binary64_14443` `rem-square-sqrt_binary64_14412` `+-lft-identity_binary64_14384` `distribute-lft1-in_binary64_14355`
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_14663` `erf-erfc_binary64_14662` `erf-odd_binary64_14661` `if-if-and-not_binary64_14660` `if-if-and_binary64_14659` `if-if-or-not_binary64_14658` `if-if-or_binary64_14657` `if-not_binary64_14656` `if-same_binary64_14655` `if-false_binary64_14654` `if-true_binary64_14653` `not-gte_binary64_14652` `not-lte_binary64_14651` `not-gt_binary64_14650` `not-lt_binary64_14649` `gte-same_binary64_14648` `lte-same_binary64_14647` `gt-same_binary64_14646` `lt-same_binary64_14645` `sinh---cosh_binary64_14592` `sinh-+-cosh_binary64_14591` `sinh-cosh_binary64_14590` `tanh-def-c_binary64_14589` `tanh-def-b_binary64_14588` `tanh-def-a_binary64_14587` `cosh-def_binary64_14586` `sinh-def_binary64_14585` `tan-neg_binary64_14532` `cos-neg_binary64_14531` `sin-neg_binary64_14530` `tan-0_binary64_14529` `cos-0_binary64_14528` `sin-0_binary64_14527` `hang-m-tan_binary64_14526` `hang-p-tan_binary64_14525` `hang-m0-tan_binary64_14524` `hang-p0-tan_binary64_14523` `hang-0m-tan_binary64_14522` `hang-0p-tan_binary64_14521` `tan-+PI/2_binary64_14520` `tan-+PI_binary64_14519` `tan-PI_binary64_14518` `tan-PI/3_binary64_14517` `tan-PI/4_binary64_14516` `tan-PI/6_binary64_14515` `cos-+PI/2_binary64_14514` `cos-+PI_binary64_14513` `cos-PI_binary64_14512` `cos-PI/2_binary64_14511` `cos-PI/3_binary64_14510` `cos-PI/4_binary64_14509` `cos-PI/6_binary64_14508` `sin-+PI/2_binary64_14507` `sin-+PI_binary64_14506` `sin-PI_binary64_14505` `sin-PI/2_binary64_14504` `sin-PI/3_binary64_14503` `sin-PI/4_binary64_14502` `sin-PI/6_binary64_14501` `sub-1-sin_binary64_14500` `sub-1-cos_binary64_14499` `-1-add-sin_binary64_14498` `-1-add-cos_binary64_14497` `1-sub-sin_binary64_14496` `1-sub-cos_binary64_14495` `cos-sin-sum_binary64_14494` `log-E_binary64_14490` `pow-base-0_binary64_14484` `unpow1/3_binary64_14467` `exp-to-pow_binary64_14462` `pow-base-1_binary64_14460` `unpow0_binary64_14459` `unpow-1_binary64_14457` `exp-lft-cube_binary64_14456` `exp-lft-sqr_binary64_14455` `exp-cbrt_binary64_14454` `exp-sqrt_binary64_14453` `div-exp_binary64_14451` `rec-exp_binary64_14450` `prod-exp_binary64_14449` `exp-neg_binary64_14447` `e-exp-1_binary64_14445` `exp-0_binary64_14442` `rem-log-exp_binary64_14441` `rem-exp-log_binary64_14440` `cube-neg_binary64_14427` `rem-3cbrt-rft_binary64_14426` `rem-3cbrt-lft_binary64_14425` `rem-cbrt-cube_binary64_14424` `rem-cube-cbrt_binary64_14423` `sqr-abs_binary64_14415` `sqr-neg_binary64_14414` `mul-1-neg_binary64_14392` `div0_binary64_14381` `*-inverses_binary64_14380` `+-inverses_binary64_14379` `lft-mult-inverse_binary64_14378` `rgt-mult-inverse_binary64_14377` `remove-double-div_binary64_14376` `difference-of-sqr--1_binary64_14371` `difference-of-sqr-1_binary64_14370` `difference-of-squares_binary64_14369` `cancel-sign-sub_binary64_14365` `distribute-frac-neg_binary64_14363`

Counts

61 → 43

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	70	758
1	161	629
2	540	593
3	2182	572
4	3400	569
5	4794	533
6	5029	533

prune33.0ms (0.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	43	12	55

Error

27.2b

Counts

55 → 12

Compiler

Compiled 533 to 292 computations (45.2% saved)

regimes1.0s (11.3%)

Accuracy

Total 1.5b remaining (5.4%)

Threshold costs 0b (0%)

Compiler

Compiled 11014 to 8276 computations (24.9% saved)

bsearch4.0ms (0%)

Steps

Iters	Range		Point
3	2.7466910281621653	3.4665520208198237	3.4215607087787197

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1× 1-exp_binary64_14444 *-commutative_binary64_14331

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_14660 if-if-and_binary64_14659 if-if-or-not_binary64_14658 if-if-or_binary64_14657 if-not_binary64_14656 if-same_binary64_14655 if-false_binary64_14654 if-true_binary64_14653 tan-0_binary64_14529 cos-0_binary64_14528 sin-0_binary64_14527 unpow1_binary64_14458 e-exp-1_binary64_14445 exp-1-e_binary64_14443 exp-0_binary64_14442 sqr-abs_binary64_14415 sqr-neg_binary64_14414 neg-mul-1_binary64_14396 neg-sub0_binary64_14395 unsub-neg_binary64_14394 sub-neg_binary64_14393 mul-1-neg_binary64_14392 /-rgt-identity_binary64_14391 *-rgt-identity_binary64_14390 *-lft-identity_binary64_14389 remove-double-neg_binary64_14388 sub0-neg_binary64_14387 --rgt-identity_binary64_14386 +-rgt-identity_binary64_14385 +-lft-identity_binary64_14384 cancel-sign-sub-inv_binary64_14366 cancel-sign-sub_binary64_14365 distribute-neg-frac_binary64_14364 distribute-frac-neg_binary64_14363 distribute-neg-out_binary64_14362 distribute-neg-in_binary64_14361 distribute-rgt-neg-out_binary64_14360 distribute-lft-neg-out_binary64_14359 distribute-rgt-neg-in_binary64_14358 distribute-lft-neg-in_binary64_14357 +-commutative_binary64_14330

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	46
1	17	46
2	16	46

end0.0ms (0%)

sample3.6s (40.2%)

Algorithm

1×

intervals

Results

606.0ms	1270×	body	1024	valid
499.0ms	1111×	body	2048	valid
315.0ms	4354×	body	128	valid
188.0ms	806×	body	512	valid
78.0ms	455×	body	256	valid
4.0ms	4×	body	4096	valid

Compiler

Compiled 1867 to 1381 computations (26% saved)

Details

analyze857.0ms (9.5%)

sample57.0ms (0.6%)

simplify8.0ms (0.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite98.0ms (1.1%)

series531.0ms (5.9%)

simplify123.0ms (1.4%)

prune36.0ms (0.4%)

localize6.0ms (0.1%)

rewrite93.0ms (1%)

series126.0ms (1.4%)

simplify93.0ms (1%)

prune83.0ms (0.9%)

localize10.0ms (0.1%)

rewrite145.0ms (1.6%)

series1.4s (15.8%)

simplify107.0ms (1.2%)

prune124.0ms (1.4%)

localize7.0ms (0.1%)

rewrite57.0ms (0.6%)

series226.0ms (2.5%)

simplify97.0ms (1.1%)

prune33.0ms (0.4%)

regimes1.0s (11.3%)

bsearch4.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.6s (40.2%)

Profiling