Details

analyze2.6s (7.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

872×	`times-frac_binary64_425`
354×	`associate-l_binary64_360`
324×	`associate-*l/_binary64_362`
318×	`associate-r_binary64_359`
230×	`associate-*r/_binary64_361`
186×	`associate-/r*_binary64_363`
176×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
152×	`associate-/l*_binary64_364`
146×	`*-commutative_binary64_350`
120×	`associate-/r/_binary64_365`
90×	`div-sub_binary64_424`
71×	`distribute-rgt-neg-in_binary64_377`
59×	`distribute-lft-neg-in_binary64_376`
52×	`distribute-neg-frac_binary64_383`
49×	`unswap-sqr_binary64_387`
33×	`mul-1-neg_binary64_411` `-rgt-identity_binary64_409` `-lft-identity_binary64_408`
28×	`sqr-pow_binary64_391` `associate-/l/_binary64_366`
20×	`+-commutative_binary64_349`
16×	`unsub-neg_binary64_413` `sub-neg_binary64_412`
14×	`cube-unmult_binary64_456` `mul0-rgt_binary64_402` `mul0-lft_binary64_401`
12×	`difference-of-sqr-1_binary64_389`
11×	`distribute-rgt-neg-out_binary64_379` `distribute-lft-neg-out_binary64_378`
10×	`unpow3_binary64_485`
8×	`distribute-rgt-out_binary64_372` `associate--l+_binary64_356` `associate-+r+_binary64_351`
7×	`neg-sub0_binary64_414`
4×	`unpow2_binary64_484` `unpow1/2_binary64_483` `pow-plus_binary64_482` `unpow1_binary64_477` `rem-sqrt-square_binary64_432` `+-rgt-identity_binary64_404` `associate-+l-_binary64_354`
3×	`cube-mult_binary64_449`
1×	`1-exp_binary64_463`
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_682` `erf-erfc_binary64_681` `erf-odd_binary64_680` `if-if-and-not_binary64_679` `if-if-and_binary64_678` `if-if-or-not_binary64_677` `if-if-or_binary64_676` `if-not_binary64_675` `if-same_binary64_674` `if-false_binary64_673` `if-true_binary64_672` `not-gte_binary64_671` `not-lte_binary64_670` `not-gt_binary64_669` `not-lt_binary64_668` `gte-same_binary64_667` `lte-same_binary64_666` `gt-same_binary64_665` `lt-same_binary64_664` `sinh---cosh_binary64_611` `sinh-+-cosh_binary64_610` `sinh-cosh_binary64_609` `tanh-def-c_binary64_608` `tanh-def-b_binary64_607` `tanh-def-a_binary64_606` `cosh-def_binary64_605` `sinh-def_binary64_604` `tan-neg_binary64_551` `cos-neg_binary64_550` `sin-neg_binary64_549` `tan-0_binary64_548` `cos-0_binary64_547` `sin-0_binary64_546` `hang-m-tan_binary64_545` `hang-p-tan_binary64_544` `hang-m0-tan_binary64_543` `hang-p0-tan_binary64_542` `hang-0m-tan_binary64_541` `hang-0p-tan_binary64_540` `tan-+PI/2_binary64_539` `tan-+PI_binary64_538` `tan-PI_binary64_537` `tan-PI/3_binary64_536` `tan-PI/4_binary64_535` `tan-PI/6_binary64_534` `cos-+PI/2_binary64_533` `cos-+PI_binary64_532` `cos-PI_binary64_531` `cos-PI/2_binary64_530` `cos-PI/3_binary64_529` `cos-PI/4_binary64_528` `cos-PI/6_binary64_527` `sin-+PI/2_binary64_526` `sin-+PI_binary64_525` `sin-PI_binary64_524` `sin-PI/2_binary64_523` `sin-PI/3_binary64_522` `sin-PI/4_binary64_521` `sin-PI/6_binary64_520` `sub-1-sin_binary64_519` `sub-1-cos_binary64_518` `-1-add-sin_binary64_517` `-1-add-cos_binary64_516` `1-sub-sin_binary64_515` `1-sub-cos_binary64_514` `cos-sin-sum_binary64_513` `log-E_binary64_509` `log-pow_binary64_508` `log-rec_binary64_507` `log-div_binary64_506` `log-prod_binary64_505` `pow-base-0_binary64_503` `unpow1/3_binary64_486` `exp-to-pow_binary64_481` `pow-base-1_binary64_479` `unpow0_binary64_478` `unpow-1_binary64_476` `exp-lft-cube_binary64_475` `exp-lft-sqr_binary64_474` `exp-cbrt_binary64_473` `exp-sqrt_binary64_472` `exp-prod_binary64_471` `div-exp_binary64_470` `rec-exp_binary64_469` `prod-exp_binary64_468` `exp-diff_binary64_467` `exp-neg_binary64_466` `exp-sum_binary64_465` `e-exp-1_binary64_464` `exp-1-e_binary64_462` `exp-0_binary64_461` `rem-log-exp_binary64_460` `rem-exp-log_binary64_459` `cube-div_binary64_448` `cube-prod_binary64_447` `cube-neg_binary64_446` `rem-3cbrt-rft_binary64_445` `rem-3cbrt-lft_binary64_444` `rem-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `sqr-abs_binary64_434` `sqr-neg_binary64_433` `rem-square-sqrt_binary64_431` `neg-mul-1_binary64_415` `/-rgt-identity_binary64_410` `remove-double-neg_binary64_407` `sub0-neg_binary64_406` `--rgt-identity_binary64_405` `+-lft-identity_binary64_403` `div0_binary64_400` `*-inverses_binary64_399` `+-inverses_binary64_398` `lft-mult-inverse_binary64_397` `rgt-mult-inverse_binary64_396` `remove-double-div_binary64_395` `pow-sqr_binary64_392` `difference-of-sqr--1_binary64_390` `difference-of-squares_binary64_388` `swap-sqr_binary64_386` `cancel-sign-sub-inv_binary64_385` `cancel-sign-sub_binary64_384` `distribute-frac-neg_binary64_382` `distribute-neg-out_binary64_381` `distribute-neg-in_binary64_380` `distribute-rgt1-in_binary64_375` `distribute-lft1-in_binary64_374` `distribute-rgt-out--_binary64_373` `distribute-lft-out--_binary64_371` `distribute-lft-out_binary64_370` `count-2_binary64_367` `associate--r-_binary64_358` `associate--l-_binary64_357` `associate--r+_binary64_355` `associate-+r-_binary64_353` `associate-+l+_binary64_352`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	152
1	153	140
2	593	128
3	3065	128
4	4952	128
5	5080	128
0	3	3
1	3	3

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
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	99.9%	0.1%	9
0%	99.9%	0.1%	10
0%	99.5%	0.5%	11
0%	99.1%	0.9%	12
0.4%	97.3%	2.3%	13
0.7%	95.8%	3.5%	14

Compiler

Compiled 26 to 22 computations (15.4% saved)

sample394.0ms (1.1%)

Algorithm

1×

intervals

Results

130.0ms	36×	body	4096	invalid
77.0ms	39×	body	2048	invalid
68.0ms	122×	body	1024	valid
27.0ms	26×	body	2048	valid
22.0ms	60×	body	512	valid
20.0ms	9×	body	4096	valid
8.0ms	17×	body	1024	invalid
5.0ms	13×	body	512	invalid
5.0ms	37×	body	128	invalid
4.0ms	30×	body	128	valid
3.0ms	9×	body	256	valid
1.0ms	3×	body	256	invalid

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify24.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

856×	`associate-*l/_binary64_362`
739×	`associate-*r/_binary64_361`
417×	`associate-/r/_binary64_365`
392×	`associate-/r*_binary64_363`
347×	`distribute-rgt-in_binary64_369`
323×	`distribute-lft-in_binary64_368`
280×	`associate-/l*_binary64_364`
194×	`times-frac_binary64_425`
88×	`associate-l_binary64_360`
80×	`associate-/l/_binary64_366`
79×	`associate-r_binary64_359`
40×	`distribute-rgt-out_binary64_372`
37×	`*-commutative_binary64_350`
35×	`distribute-lft-out_binary64_370`
18×	`distribute-rgt-neg-in_binary64_377`
15×	`distribute-lft-neg-in_binary64_376`
13×	`distribute-neg-frac_binary64_383`
10×	`unswap-sqr_binary64_387`
9×	`mul-1-neg_binary64_411` `-rgt-identity_binary64_409` `-lft-identity_binary64_408`
8×	`sqr-pow_binary64_391`
5×	`+-commutative_binary64_349`
4×	`unsub-neg_binary64_413` `sub-neg_binary64_412` `mul0-rgt_binary64_402` `mul0-lft_binary64_401`
3×	`difference-of-sqr-1_binary64_389` `distribute-rgt-neg-out_binary64_379` `distribute-lft-neg-out_binary64_378`
2×	`cube-unmult_binary64_456` `neg-sub0_binary64_414` `associate--l+_binary64_356` `associate-+r+_binary64_351`
1×	`unpow3_binary64_485` `unpow2_binary64_484` `unpow1/2_binary64_483` `pow-plus_binary64_482` `unpow1_binary64_477` `1-exp_binary64_463` `cube-mult_binary64_449` `rem-sqrt-square_binary64_432` `+-rgt-identity_binary64_404` `associate-+l-_binary64_354`
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_682` `erf-erfc_binary64_681` `erf-odd_binary64_680` `if-if-and-not_binary64_679` `if-if-and_binary64_678` `if-if-or-not_binary64_677` `if-if-or_binary64_676` `if-not_binary64_675` `if-same_binary64_674` `if-false_binary64_673` `if-true_binary64_672` `not-gte_binary64_671` `not-lte_binary64_670` `not-gt_binary64_669` `not-lt_binary64_668` `gte-same_binary64_667` `lte-same_binary64_666` `gt-same_binary64_665` `lt-same_binary64_664` `sinh---cosh_binary64_611` `sinh-+-cosh_binary64_610` `sinh-cosh_binary64_609` `tanh-def-c_binary64_608` `tanh-def-b_binary64_607` `tanh-def-a_binary64_606` `cosh-def_binary64_605` `sinh-def_binary64_604` `tan-neg_binary64_551` `cos-neg_binary64_550` `sin-neg_binary64_549` `tan-0_binary64_548` `cos-0_binary64_547` `sin-0_binary64_546` `hang-m-tan_binary64_545` `hang-p-tan_binary64_544` `hang-m0-tan_binary64_543` `hang-p0-tan_binary64_542` `hang-0m-tan_binary64_541` `hang-0p-tan_binary64_540` `tan-+PI/2_binary64_539` `tan-+PI_binary64_538` `tan-PI_binary64_537` `tan-PI/3_binary64_536` `tan-PI/4_binary64_535` `tan-PI/6_binary64_534` `cos-+PI/2_binary64_533` `cos-+PI_binary64_532` `cos-PI_binary64_531` `cos-PI/2_binary64_530` `cos-PI/3_binary64_529` `cos-PI/4_binary64_528` `cos-PI/6_binary64_527` `sin-+PI/2_binary64_526` `sin-+PI_binary64_525` `sin-PI_binary64_524` `sin-PI/2_binary64_523` `sin-PI/3_binary64_522` `sin-PI/4_binary64_521` `sin-PI/6_binary64_520` `sub-1-sin_binary64_519` `sub-1-cos_binary64_518` `-1-add-sin_binary64_517` `-1-add-cos_binary64_516` `1-sub-sin_binary64_515` `1-sub-cos_binary64_514` `cos-sin-sum_binary64_513` `log-E_binary64_509` `log-pow_binary64_508` `log-rec_binary64_507` `log-div_binary64_506` `log-prod_binary64_505` `pow-base-0_binary64_503` `unpow1/3_binary64_486` `exp-to-pow_binary64_481` `pow-base-1_binary64_479` `unpow0_binary64_478` `unpow-1_binary64_476` `exp-lft-cube_binary64_475` `exp-lft-sqr_binary64_474` `exp-cbrt_binary64_473` `exp-sqrt_binary64_472` `exp-prod_binary64_471` `div-exp_binary64_470` `rec-exp_binary64_469` `prod-exp_binary64_468` `exp-diff_binary64_467` `exp-neg_binary64_466` `exp-sum_binary64_465` `e-exp-1_binary64_464` `exp-1-e_binary64_462` `exp-0_binary64_461` `rem-log-exp_binary64_460` `rem-exp-log_binary64_459` `cube-div_binary64_448` `cube-prod_binary64_447` `cube-neg_binary64_446` `rem-3cbrt-rft_binary64_445` `rem-3cbrt-lft_binary64_444` `rem-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `sqr-abs_binary64_434` `sqr-neg_binary64_433` `rem-square-sqrt_binary64_431` `div-sub_binary64_424` `neg-mul-1_binary64_415` `/-rgt-identity_binary64_410` `remove-double-neg_binary64_407` `sub0-neg_binary64_406` `--rgt-identity_binary64_405` `+-lft-identity_binary64_403` `div0_binary64_400` `*-inverses_binary64_399` `+-inverses_binary64_398` `lft-mult-inverse_binary64_397` `rgt-mult-inverse_binary64_396` `remove-double-div_binary64_395` `pow-sqr_binary64_392` `difference-of-sqr--1_binary64_390` `difference-of-squares_binary64_388` `swap-sqr_binary64_386` `cancel-sign-sub-inv_binary64_385` `cancel-sign-sub_binary64_384` `distribute-frac-neg_binary64_382` `distribute-neg-out_binary64_381` `distribute-neg-in_binary64_380` `distribute-rgt1-in_binary64_375` `distribute-lft1-in_binary64_374` `distribute-rgt-out--_binary64_373` `distribute-lft-out--_binary64_371` `count-2_binary64_367` `associate--r-_binary64_358` `associate--l-_binary64_357` `associate--r+_binary64_355` `associate-+r-_binary64_353` `associate-+l+_binary64_352`

Counts

1 → 1

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	38
1	52	35
2	172	32
3	806	32
4	5185	32

prune5.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

39.3b

Counts

2 → 1

Compiler

Compiled 42 to 34 computations (19% saved)

localize16.0ms (0%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
0.9b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
16.5b	(/.f64 (pow.f64 t 3) (*.f64 l l))
26.0b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

rewrite405.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

25.3b

Rules

228×	`add-exp-log_binary64_457`
139×	`prod-exp_binary64_468`
52×	`add-cbrt-cube_binary64_455`
51×	`div-exp_binary64_470`
37×	`times-frac_binary64_425`
33×	`add-sqr-sqrt_binary64_441`
32×	`pow-exp_binary64_487`
26×	`cbrt-unprod_binary64_452`
24×	`add-cube-cbrt_binary64_454` `-un-lft-identity_binary64_419` `associate-r*_binary64_359`
23×	`pow-to-exp_binary64_488` `unpow-prod-down_binary64_498`
18×	`associate-l_binary64_360`
12×	`associate-/l*_binary64_364`
11×	`pow1_binary64_480`
10×	`associate-*l/_binary64_362` `cube-prod_binary64_447`
8×	`cbrt-undiv_binary64_453`
5×	`sqr-pow_binary64_391` `unswap-sqr_binary64_387`
4×	`add-log-exp_binary64_458` `tan-quot_binary64_578` `pow-prod-down_binary64_490`
3×	`div-inv_binary64_416` `*-commutative_binary64_350` `unpow3_binary64_485` `cube-mult_binary64_449`
2×	`frac-times_binary64_429` `associate-*r/_binary64_361`
1×	`unpow2_binary64_484` `frac-2neg_binary64_430` `clear-num_binary64_418` `associate-/r*_binary64_363`

Counts

4 → 187

Calls

4 calls:

25.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
13.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
11.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
7.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 5495 to 2635 computations (52% saved)

series2.0s (5.4%)

Error

23.2b

Counts

4 → 37

Calls

4 calls:

704.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
690.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
398.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
136.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 2349 to 1840 computations (21.7% saved)

simplify176.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

493×	`associate-l_binary64_360`
489×	`unswap-sqr_binary64_387`
346×	`associate-r_binary64_359`
322×	`log-prod_binary64_505`
228×	`associate-/l/_binary64_366`
182×	`*-commutative_binary64_350`
149×	`associate-*l/_binary64_362`
137×	`times-frac_binary64_425`
134×	`log-div_binary64_506`
131×	`associate-/l*_binary64_364`
93×	`sqr-pow_binary64_391`
89×	`associate-/r*_binary64_363`
78×	`associate-*r/_binary64_361`
66×	`swap-sqr_binary64_386`
64×	`cube-prod_binary64_447`
51×	`exp-prod_binary64_471` `distribute-rgt-neg-in_binary64_377` `distribute-lft-neg-in_binary64_376`
50×	`*-lft-identity_binary64_408`
39×	`associate-+l+_binary64_352`
36×	`*-rgt-identity_binary64_409`
35×	`log-pow_binary64_508`
33×	`+-commutative_binary64_349`
32×	`cancel-sign-sub-inv_binary64_385`
29×	`sub-neg_binary64_412`
25×	`cube-div_binary64_448`
20×	`associate-/r/_binary64_365`
19×	`cube-unmult_binary64_456`
15×	`associate-+r+_binary64_351`
14×	`unpow2_binary64_484` `unpow1/2_binary64_483` `unpow1_binary64_477` `neg-mul-1_binary64_415` `neg-sub0_binary64_414`
13×	`pow-sqr_binary64_392` `distribute-rgt-in_binary64_369`
12×	`pow-plus_binary64_482` `distribute-neg-frac_binary64_383`
11×	`rem-sqrt-square_binary64_432`
9×	`associate-+l-_binary64_354`
8×	`distribute-lft-in_binary64_368`
6×	`unpow3_binary64_485` `distribute-neg-in_binary64_380`
5×	`cube-mult_binary64_449`
4×	`/-rgt-identity_binary64_410`
3×	`rem-square-sqrt_binary64_431` `count-2_binary64_367` `associate-+r-_binary64_353`
2×	`rem-3cbrt-rft_binary64_445` `rem-3cbrt-lft_binary64_444` `associate--r+_binary64_355`
1×	`log-rec_binary64_507` `1-exp_binary64_463` `exp-1-e_binary64_462` `rem-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `unsub-neg_binary64_413` `distribute-rgt-neg-out_binary64_379` `distribute-lft-neg-out_binary64_378` `distribute-lft-out_binary64_370` `associate--l+_binary64_356`
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_682` `erf-erfc_binary64_681` `erf-odd_binary64_680` `if-if-and-not_binary64_679` `if-if-and_binary64_678` `if-if-or-not_binary64_677` `if-if-or_binary64_676` `if-not_binary64_675` `if-same_binary64_674` `if-false_binary64_673` `if-true_binary64_672` `not-gte_binary64_671` `not-lte_binary64_670` `not-gt_binary64_669` `not-lt_binary64_668` `gte-same_binary64_667` `lte-same_binary64_666` `gt-same_binary64_665` `lt-same_binary64_664` `sinh---cosh_binary64_611` `sinh-+-cosh_binary64_610` `sinh-cosh_binary64_609` `tanh-def-c_binary64_608` `tanh-def-b_binary64_607` `tanh-def-a_binary64_606` `cosh-def_binary64_605` `sinh-def_binary64_604` `tan-neg_binary64_551` `cos-neg_binary64_550` `sin-neg_binary64_549` `tan-0_binary64_548` `cos-0_binary64_547` `sin-0_binary64_546` `hang-m-tan_binary64_545` `hang-p-tan_binary64_544` `hang-m0-tan_binary64_543` `hang-p0-tan_binary64_542` `hang-0m-tan_binary64_541` `hang-0p-tan_binary64_540` `tan-+PI/2_binary64_539` `tan-+PI_binary64_538` `tan-PI_binary64_537` `tan-PI/3_binary64_536` `tan-PI/4_binary64_535` `tan-PI/6_binary64_534` `cos-+PI/2_binary64_533` `cos-+PI_binary64_532` `cos-PI_binary64_531` `cos-PI/2_binary64_530` `cos-PI/3_binary64_529` `cos-PI/4_binary64_528` `cos-PI/6_binary64_527` `sin-+PI/2_binary64_526` `sin-+PI_binary64_525` `sin-PI_binary64_524` `sin-PI/2_binary64_523` `sin-PI/3_binary64_522` `sin-PI/4_binary64_521` `sin-PI/6_binary64_520` `sub-1-sin_binary64_519` `sub-1-cos_binary64_518` `-1-add-sin_binary64_517` `-1-add-cos_binary64_516` `1-sub-sin_binary64_515` `1-sub-cos_binary64_514` `cos-sin-sum_binary64_513` `log-E_binary64_509` `pow-base-0_binary64_503` `unpow1/3_binary64_486` `exp-to-pow_binary64_481` `pow-base-1_binary64_479` `unpow0_binary64_478` `unpow-1_binary64_476` `exp-lft-cube_binary64_475` `exp-lft-sqr_binary64_474` `exp-cbrt_binary64_473` `exp-sqrt_binary64_472` `div-exp_binary64_470` `rec-exp_binary64_469` `prod-exp_binary64_468` `exp-diff_binary64_467` `exp-neg_binary64_466` `exp-sum_binary64_465` `e-exp-1_binary64_464` `exp-0_binary64_461` `rem-log-exp_binary64_460` `rem-exp-log_binary64_459` `cube-neg_binary64_446` `sqr-abs_binary64_434` `sqr-neg_binary64_433` `div-sub_binary64_424` `mul-1-neg_binary64_411` `remove-double-neg_binary64_407` `sub0-neg_binary64_406` `--rgt-identity_binary64_405` `+-rgt-identity_binary64_404` `+-lft-identity_binary64_403` `mul0-rgt_binary64_402` `mul0-lft_binary64_401` `div0_binary64_400` `*-inverses_binary64_399` `+-inverses_binary64_398` `lft-mult-inverse_binary64_397` `rgt-mult-inverse_binary64_396` `remove-double-div_binary64_395` `difference-of-sqr--1_binary64_390` `difference-of-sqr-1_binary64_389` `difference-of-squares_binary64_388` `cancel-sign-sub_binary64_384` `distribute-frac-neg_binary64_382` `distribute-neg-out_binary64_381` `distribute-rgt1-in_binary64_375` `distribute-lft1-in_binary64_374` `distribute-rgt-out--_binary64_373` `distribute-rgt-out_binary64_372` `distribute-lft-out--_binary64_371` `associate--r-_binary64_358` `associate--l-_binary64_357`

Counts

224 → 198

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	290	5503
1	662	4815
2	2942	4790
3	4828	4790
4	5237	4790

prune285.0ms (0.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	186	12	198
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	187	12	199

Error

17.3b

Counts

199 → 12

Compiler

Compiled 5209 to 2658 computations (49% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))
1.7b	(*.f64 t (pow.f64 (sin.f64 k) 2))
4.6b	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
21.8b	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))

rewrite385.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

12.2b

Rules

320×	`add-exp-log_binary64_457`
183×	`prod-exp_binary64_468`
173×	`add-cbrt-cube_binary64_455`
87×	`cbrt-unprod_binary64_452`
82×	`div-exp_binary64_470`
46×	`cbrt-undiv_binary64_453`
23×	`add-sqr-sqrt_binary64_441`
20×	`times-frac_binary64_425`
17×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
15×	`pow-to-exp_binary64_488` `pow-exp_binary64_487`
9×	`pow1_binary64_480` `associate-r_binary64_359`
6×	`div-inv_binary64_416` `associate-/r*_binary64_363`
4×	`add-log-exp_binary64_458` `associate-/l_binary64_364` `associate-l*_binary64_360` `unpow-prod-down_binary64_498` `unswap-sqr_binary64_387`
3×	`pow-prod-down_binary64_490`
2×	`frac-2neg_binary64_430` `clear-num_binary64_418` `*-commutative_binary64_350` `unpow2_binary64_484` `sqr-pow_binary64_391`
1×	`associate-/r/_binary64_365`

Counts

4 → 184

Calls

4 calls:

16.0ms	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))
15.0ms	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))
9.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
6.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

Compiler

Compiled 6000 to 2263 computations (62.3% saved)

series1.9s (5.3%)

Error

17.2b

Counts

4 → 42

Calls

4 calls:

804.0ms	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))
690.0ms	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))
234.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
163.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

Compiler

Compiled 2378 to 1790 computations (24.7% saved)

simplify245.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

569×	`times-frac_binary64_425`
292×	`associate-r_binary64_359`
288×	`associate-/r*_binary64_363`
264×	`associate-/l*_binary64_364`
257×	`cancel-sign-sub-inv_binary64_385`
252×	`log-div_binary64_506`
246×	`associate-l_binary64_360`
230×	`log-prod_binary64_505`
158×	`distribute-rgt-neg-in_binary64_377`
149×	`*-commutative_binary64_350`
147×	`distribute-lft-neg-in_binary64_376`
132×	`sub-neg_binary64_412`
106×	`associate-/r/_binary64_365`
92×	`unswap-sqr_binary64_387`
75×	`associate-*l/_binary64_362`
69×	`swap-sqr_binary64_386`
67×	`exp-prod_binary64_471`
53×	`distribute-neg-frac_binary64_383`
52×	`cube-prod_binary64_447`
51×	`associate-*r/_binary64_361`
50×	`neg-mul-1_binary64_415` `neg-sub0_binary64_414`
49×	`distribute-neg-in_binary64_380`
48×	`sqr-pow_binary64_391`
47×	`+-commutative_binary64_349`
38×	`associate-/l/_binary64_366`
35×	`associate--r+_binary64_355`
33×	`associate--l+_binary64_356`
29×	`cube-div_binary64_448`
27×	`*-rgt-identity_binary64_409`
24×	`associate-+l+_binary64_352`
23×	`associate-+r+_binary64_351`
20×	`log-pow_binary64_508`
19×	`unsub-neg_binary64_413`
16×	`*-lft-identity_binary64_408`
15×	`/-rgt-identity_binary64_410`
13×	`cube-unmult_binary64_456` `associate--r-_binary64_358`
11×	`log-rec_binary64_507` `div-sub_binary64_424`
8×	`pow-plus_binary64_482` `distribute-rgt-out_binary64_372`
7×	`distribute-lft-neg-out_binary64_378`
6×	`pow-sqr_binary64_392` `distribute-frac-neg_binary64_382`
5×	`unpow2_binary64_484` `unpow1/2_binary64_483` `unpow1_binary64_477`
4×	`distribute-rgt-out--_binary64_373`
2×	`rem-sqrt-square_binary64_432` `distribute-rgt-neg-out_binary64_379` `count-2_binary64_367`
1×	`unpow3_binary64_485` `exp-lft-sqr_binary64_474` `1-exp_binary64_463` `exp-1-e_binary64_462` `rem-3cbrt-rft_binary64_445` `rem-3cbrt-lft_binary64_444` `rem-square-sqrt_binary64_431` `remove-double-neg_binary64_407` `div0_binary64_400`
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_682` `erf-erfc_binary64_681` `erf-odd_binary64_680` `if-if-and-not_binary64_679` `if-if-and_binary64_678` `if-if-or-not_binary64_677` `if-if-or_binary64_676` `if-not_binary64_675` `if-same_binary64_674` `if-false_binary64_673` `if-true_binary64_672` `not-gte_binary64_671` `not-lte_binary64_670` `not-gt_binary64_669` `not-lt_binary64_668` `gte-same_binary64_667` `lte-same_binary64_666` `gt-same_binary64_665` `lt-same_binary64_664` `sinh---cosh_binary64_611` `sinh-+-cosh_binary64_610` `sinh-cosh_binary64_609` `tanh-def-c_binary64_608` `tanh-def-b_binary64_607` `tanh-def-a_binary64_606` `cosh-def_binary64_605` `sinh-def_binary64_604` `tan-neg_binary64_551` `cos-neg_binary64_550` `sin-neg_binary64_549` `tan-0_binary64_548` `cos-0_binary64_547` `sin-0_binary64_546` `hang-m-tan_binary64_545` `hang-p-tan_binary64_544` `hang-m0-tan_binary64_543` `hang-p0-tan_binary64_542` `hang-0m-tan_binary64_541` `hang-0p-tan_binary64_540` `tan-+PI/2_binary64_539` `tan-+PI_binary64_538` `tan-PI_binary64_537` `tan-PI/3_binary64_536` `tan-PI/4_binary64_535` `tan-PI/6_binary64_534` `cos-+PI/2_binary64_533` `cos-+PI_binary64_532` `cos-PI_binary64_531` `cos-PI/2_binary64_530` `cos-PI/3_binary64_529` `cos-PI/4_binary64_528` `cos-PI/6_binary64_527` `sin-+PI/2_binary64_526` `sin-+PI_binary64_525` `sin-PI_binary64_524` `sin-PI/2_binary64_523` `sin-PI/3_binary64_522` `sin-PI/4_binary64_521` `sin-PI/6_binary64_520` `sub-1-sin_binary64_519` `sub-1-cos_binary64_518` `-1-add-sin_binary64_517` `-1-add-cos_binary64_516` `1-sub-sin_binary64_515` `1-sub-cos_binary64_514` `cos-sin-sum_binary64_513` `log-E_binary64_509` `pow-base-0_binary64_503` `unpow1/3_binary64_486` `exp-to-pow_binary64_481` `pow-base-1_binary64_479` `unpow0_binary64_478` `unpow-1_binary64_476` `exp-lft-cube_binary64_475` `exp-cbrt_binary64_473` `exp-sqrt_binary64_472` `div-exp_binary64_470` `rec-exp_binary64_469` `prod-exp_binary64_468` `exp-diff_binary64_467` `exp-neg_binary64_466` `exp-sum_binary64_465` `e-exp-1_binary64_464` `exp-0_binary64_461` `rem-log-exp_binary64_460` `rem-exp-log_binary64_459` `cube-mult_binary64_449` `cube-neg_binary64_446` `rem-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `sqr-abs_binary64_434` `sqr-neg_binary64_433` `mul-1-neg_binary64_411` `sub0-neg_binary64_406` `--rgt-identity_binary64_405` `+-rgt-identity_binary64_404` `+-lft-identity_binary64_403` `mul0-rgt_binary64_402` `mul0-lft_binary64_401` `*-inverses_binary64_399` `+-inverses_binary64_398` `lft-mult-inverse_binary64_397` `rgt-mult-inverse_binary64_396` `remove-double-div_binary64_395` `difference-of-sqr--1_binary64_390` `difference-of-sqr-1_binary64_389` `difference-of-squares_binary64_388` `cancel-sign-sub_binary64_384` `distribute-neg-out_binary64_381` `distribute-rgt1-in_binary64_375` `distribute-lft1-in_binary64_374` `distribute-lft-out--_binary64_371` `distribute-lft-out_binary64_370` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `associate--l-_binary64_357` `associate-+l-_binary64_354` `associate-+r-_binary64_353`

Counts

226 → 176

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	317	8087
1	668	6048
2	3338	6040
3	4682	6040
4	4975	6040
5	4996	6040

prune249.0ms (0.7%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	165	11	176
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	167	21	188

Error

15.1b

Counts

188 → 21

Compiler

Compiled 4413 to 2118 computations (52% saved)

localize17.0ms (0%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (sin.f64 k) 2)
1.7b	(*.f64 t (pow.f64 (sin.f64 k) 2))
8.6b	(.f64 (/.f64 (.f64 l l) (.f64 k k)) (/.f64 2 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
14.9b	(/.f64 (.f64 l l) (.f64 k k))

rewrite334.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

2.9b

Rules

185×	`add-exp-log_binary64_457`
120×	`add-cbrt-cube_binary64_455`
76×	`prod-exp_binary64_468`
73×	`div-exp_binary64_470`
46×	`cbrt-unprod_binary64_452`
45×	`cbrt-undiv_binary64_453`
38×	`add-sqr-sqrt_binary64_441`
36×	`times-frac_binary64_425`
34×	`associate-r_binary64_359`
24×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
8×	`unswap-sqr_binary64_387` `associate-l_binary64_360`
7×	`pow1_binary64_480` `pow-to-exp_binary64_488` `pow-exp_binary64_487` `unpow-prod-down_binary64_498`
6×	`div-inv_binary64_416`
4×	`add-log-exp_binary64_458`
3×	`unpow2_binary64_484` `sqr-pow_binary64_391` `pow-unpow_binary64_496`
2×	`*-commutative_binary64_350`
1×	`frac-2neg_binary64_430` `clear-num_binary64_418` `associate-/l_binary64_364` `associate-/r_binary64_363` `pow-prod-down_binary64_490` `frac-times_binary64_429` `associate-l/_binary64_362` `associate-r/_binary64_361` `associate-/r/_binary64_365` `pow-pow_binary64_491`

Counts

4 → 163

Calls

4 calls:

20.0ms	(.f64 (/.f64 (.f64 l l) (.f64 k k)) (/.f64 2 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
7.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
6.0ms	(/.f64 (.f64 l l) (.f64 k k))
3.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 5059 to 2042 computations (59.6% saved)

series1.2s (3.2%)

Error

15.1b

Counts

4 → 33

Calls

4 calls:

826.0ms	(.f64 (/.f64 (.f64 l l) (.f64 k k)) (/.f64 2 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
141.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
135.0ms	(/.f64 (.f64 l l) (.f64 k k))
43.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 1869 to 1383 computations (26% saved)

simplify202.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

333×	`associate-l_binary64_360`
283×	`times-frac_binary64_425`
275×	`associate-*r/_binary64_361`
270×	`associate-*l/_binary64_362`
267×	`associate-r_binary64_359`
249×	`associate-/l*_binary64_364`
216×	`cancel-sign-sub-inv_binary64_385`
188×	`associate-/r*_binary64_363`
183×	`*-commutative_binary64_350`
161×	`log-div_binary64_506`
153×	`log-prod_binary64_505`
104×	`unswap-sqr_binary64_387`
103×	`cube-div_binary64_448`
98×	`sub-neg_binary64_412`
96×	`distribute-rgt-neg-in_binary64_377`
93×	`associate-/r/_binary64_365`
89×	`exp-prod_binary64_471` `distribute-lft-neg-in_binary64_376`
78×	`associate--r+_binary64_355`
76×	`associate-/l/_binary64_366`
65×	`associate--l+_binary64_356`
56×	`sqr-pow_binary64_391`
50×	`*-rgt-identity_binary64_409`
42×	`*-lft-identity_binary64_408`
37×	`unpow3_binary64_485`
35×	`distribute-neg-frac_binary64_383` `distribute-neg-in_binary64_380`
34×	`cube-mult_binary64_449` `neg-mul-1_binary64_415` `neg-sub0_binary64_414` `+-commutative_binary64_349`
33×	`cube-prod_binary64_447`
28×	`swap-sqr_binary64_386` `associate--r-_binary64_358`
27×	`log-pow_binary64_508`
24×	`associate-+l-_binary64_354`
22×	`/-rgt-identity_binary64_410`
20×	`cube-unmult_binary64_456`
18×	`pow-plus_binary64_482` `distribute-rgt-in_binary64_369`
15×	`unsub-neg_binary64_413`
13×	`distribute-rgt-out_binary64_372` `associate--l-_binary64_357`
12×	`distribute-rgt-out--_binary64_373`
11×	`pow-sqr_binary64_392` `associate-+l+_binary64_352`
9×	`distribute-lft-out--_binary64_371`
8×	`unpow1/2_binary64_483` `associate-+r-_binary64_353`
6×	`unpow2_binary64_484` `unpow1_binary64_477`
5×	`log-rec_binary64_507` `associate-+r+_binary64_351`
4×	`distribute-lft-neg-out_binary64_378` `distribute-lft-out_binary64_370`
3×	`rem-sqrt-square_binary64_432` `remove-double-div_binary64_395` `distribute-lft-in_binary64_368`
2×	`count-2_binary64_367`
1×	`1-exp_binary64_463` `exp-1-e_binary64_462` `rem-3cbrt-rft_binary64_445` `rem-square-sqrt_binary64_431` `remove-double-neg_binary64_407` `distribute-rgt1-in_binary64_375`
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_682` `erf-erfc_binary64_681` `erf-odd_binary64_680` `if-if-and-not_binary64_679` `if-if-and_binary64_678` `if-if-or-not_binary64_677` `if-if-or_binary64_676` `if-not_binary64_675` `if-same_binary64_674` `if-false_binary64_673` `if-true_binary64_672` `not-gte_binary64_671` `not-lte_binary64_670` `not-gt_binary64_669` `not-lt_binary64_668` `gte-same_binary64_667` `lte-same_binary64_666` `gt-same_binary64_665` `lt-same_binary64_664` `sinh---cosh_binary64_611` `sinh-+-cosh_binary64_610` `sinh-cosh_binary64_609` `tanh-def-c_binary64_608` `tanh-def-b_binary64_607` `tanh-def-a_binary64_606` `cosh-def_binary64_605` `sinh-def_binary64_604` `tan-neg_binary64_551` `cos-neg_binary64_550` `sin-neg_binary64_549` `tan-0_binary64_548` `cos-0_binary64_547` `sin-0_binary64_546` `hang-m-tan_binary64_545` `hang-p-tan_binary64_544` `hang-m0-tan_binary64_543` `hang-p0-tan_binary64_542` `hang-0m-tan_binary64_541` `hang-0p-tan_binary64_540` `tan-+PI/2_binary64_539` `tan-+PI_binary64_538` `tan-PI_binary64_537` `tan-PI/3_binary64_536` `tan-PI/4_binary64_535` `tan-PI/6_binary64_534` `cos-+PI/2_binary64_533` `cos-+PI_binary64_532` `cos-PI_binary64_531` `cos-PI/2_binary64_530` `cos-PI/3_binary64_529` `cos-PI/4_binary64_528` `cos-PI/6_binary64_527` `sin-+PI/2_binary64_526` `sin-+PI_binary64_525` `sin-PI_binary64_524` `sin-PI/2_binary64_523` `sin-PI/3_binary64_522` `sin-PI/4_binary64_521` `sin-PI/6_binary64_520` `sub-1-sin_binary64_519` `sub-1-cos_binary64_518` `-1-add-sin_binary64_517` `-1-add-cos_binary64_516` `1-sub-sin_binary64_515` `1-sub-cos_binary64_514` `cos-sin-sum_binary64_513` `log-E_binary64_509` `pow-base-0_binary64_503` `unpow1/3_binary64_486` `exp-to-pow_binary64_481` `pow-base-1_binary64_479` `unpow0_binary64_478` `unpow-1_binary64_476` `exp-lft-cube_binary64_475` `exp-lft-sqr_binary64_474` `exp-cbrt_binary64_473` `exp-sqrt_binary64_472` `div-exp_binary64_470` `rec-exp_binary64_469` `prod-exp_binary64_468` `exp-diff_binary64_467` `exp-neg_binary64_466` `exp-sum_binary64_465` `e-exp-1_binary64_464` `exp-0_binary64_461` `rem-log-exp_binary64_460` `rem-exp-log_binary64_459` `cube-neg_binary64_446` `rem-3cbrt-lft_binary64_444` `rem-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `sqr-abs_binary64_434` `sqr-neg_binary64_433` `div-sub_binary64_424` `mul-1-neg_binary64_411` `sub0-neg_binary64_406` `--rgt-identity_binary64_405` `+-rgt-identity_binary64_404` `+-lft-identity_binary64_403` `mul0-rgt_binary64_402` `mul0-lft_binary64_401` `div0_binary64_400` `*-inverses_binary64_399` `+-inverses_binary64_398` `lft-mult-inverse_binary64_397` `rgt-mult-inverse_binary64_396` `difference-of-sqr--1_binary64_390` `difference-of-sqr-1_binary64_389` `difference-of-squares_binary64_388` `cancel-sign-sub_binary64_384` `distribute-frac-neg_binary64_382` `distribute-neg-out_binary64_381` `distribute-rgt-neg-out_binary64_379` `distribute-lft1-in_binary64_374`

Counts

196 → 140

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	303	5846
1	753	4322
2	3565	4233
3	4557	4230
4	4979	4230
5	4996	4230

prune215.0ms (0.6%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	131	9	140
Fresh	11	9	20
Picked	1	0	1
Done	0	0	0
Total	143	18	161

Error

4.7b

Counts

161 → 18

Compiler

Compiled 3490 to 1729 computations (50.5% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))
0.4b	(pow.f64 (sin.f64 k) 2)
1.7b	(*.f64 t (pow.f64 (sin.f64 k) 2))
8.6b	(.f64 (.f64 (fabs.f64 (/.f64 l k)) (fabs.f64 (/.f64 l k))) (/.f64 2 (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))

rewrite270.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

Rules

72×	`add-exp-log_binary64_457`
43×	`add-cbrt-cube_binary64_455`
34×	`add-sqr-sqrt_binary64_441` `times-frac_binary64_425` `associate-r_binary64_359`
30×	`prod-exp_binary64_468`
25×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
22×	`div-exp_binary64_470`
16×	`cbrt-unprod_binary64_452`
12×	`cbrt-undiv_binary64_453`
10×	`pow1_binary64_480`
7×	`unpow-prod-down_binary64_498`
6×	`unswap-sqr_binary64_387`
5×	`pow-to-exp_binary64_488` `pow-exp_binary64_487` `div-inv_binary64_416`
4×	`add-log-exp_binary64_458` `associate-l_binary64_360`
3×	`pow-prod-down_binary64_490` `unpow2_binary64_484` `sqr-pow_binary64_391` `pow-unpow_binary64_496` `associate-/r*_binary64_363`
2×	`*-commutative_binary64_350`
1×	`associate-r/_binary64_361` `associate-/r/_binary64_365` `pow-pow_binary64_491` `frac-2neg_binary64_430` `clear-num_binary64_418` `associate-/l_binary64_364`

Counts

4 → 128

Calls

4 calls:

17.0ms	(.f64 (.f64 (fabs.f64 (/.f64 l k)) (fabs.f64 (/.f64 l k))) (/.f64 2 (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
9.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
6.0ms	(/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))
3.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 4002 to 1580 computations (60.5% saved)

series1.4s (3.8%)

Error

4.6b

Counts

4 → 36

Calls

4 calls:

874.0ms	(.f64 (.f64 (fabs.f64 (/.f64 l k)) (fabs.f64 (/.f64 l k))) (/.f64 2 (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
262.0ms	(/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))
166.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
45.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 2176 to 1398 computations (35.8% saved)

simplify168.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

351×	`associate-l_binary64_360`
301×	`associate-r_binary64_359`
250×	`log-prod_binary64_505`
196×	`associate-/l*_binary64_364`
193×	`cancel-sign-sub-inv_binary64_385`
180×	`times-frac_binary64_425` `*-commutative_binary64_350`
176×	`cube-prod_binary64_447`
159×	`log-div_binary64_506`
143×	`associate-*r/_binary64_361`
132×	`exp-prod_binary64_471`
124×	`unswap-sqr_binary64_387`
117×	`cube-div_binary64_448`
108×	`associate-/r*_binary64_363`
102×	`associate-/r/_binary64_365`
93×	`associate-*l/_binary64_362`
91×	`distribute-rgt-neg-in_binary64_377`
87×	`associate-+l+_binary64_352`
85×	`neg-mul-1_binary64_415`
84×	`distribute-lft-neg-in_binary64_376`
73×	`sub-neg_binary64_412`
72×	`+-commutative_binary64_349`
65×	`associate-+r+_binary64_351`
61×	`associate--r+_binary64_355`
55×	`associate-/l/_binary64_366`
54×	`sqr-pow_binary64_391`
53×	`associate--l+_binary64_356`
52×	`*-rgt-identity_binary64_409`
48×	`unpow3_binary64_485`
45×	`cube-mult_binary64_449` `associate-+r-_binary64_353`
44×	`*-lft-identity_binary64_408` `associate-+l-_binary64_354`
34×	`swap-sqr_binary64_386`
33×	`distribute-neg-frac_binary64_383`
31×	`/-rgt-identity_binary64_410` `distribute-rgt-out_binary64_372`
30×	`neg-sub0_binary64_414`
26×	`log-pow_binary64_508` `distribute-neg-in_binary64_380` `distribute-lft-out_binary64_370`
18×	`cube-unmult_binary64_456`
16×	`distribute-rgt-in_binary64_369`
15×	`pow-plus_binary64_482` `rem-sqrt-square_binary64_432` `associate--r-_binary64_358`
14×	`unsub-neg_binary64_413`
13×	`associate--l-_binary64_357`
12×	`log-rec_binary64_507`
11×	`pow-sqr_binary64_392`
8×	`unpow1/2_binary64_483` `distribute-rgt-out--_binary64_373`
6×	`unpow2_binary64_484` `unpow1_binary64_477` `distribute-lft-out--_binary64_371`
5×	`distribute-lft-neg-out_binary64_378`
4×	`div-sub_binary64_424` `distribute-lft-in_binary64_368`
3×	`remove-double-div_binary64_395`
2×	`distribute-rgt1-in_binary64_375` `count-2_binary64_367`
1×	`exp-lft-sqr_binary64_474` `prod-exp_binary64_468` `1-exp_binary64_463` `exp-1-e_binary64_462` `rem-3cbrt-rft_binary64_445` `sqr-abs_binary64_434` `rem-square-sqrt_binary64_431` `remove-double-neg_binary64_407` `distribute-lft1-in_binary64_374`
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_682` `erf-erfc_binary64_681` `erf-odd_binary64_680` `if-if-and-not_binary64_679` `if-if-and_binary64_678` `if-if-or-not_binary64_677` `if-if-or_binary64_676` `if-not_binary64_675` `if-same_binary64_674` `if-false_binary64_673` `if-true_binary64_672` `not-gte_binary64_671` `not-lte_binary64_670` `not-gt_binary64_669` `not-lt_binary64_668` `gte-same_binary64_667` `lte-same_binary64_666` `gt-same_binary64_665` `lt-same_binary64_664` `sinh---cosh_binary64_611` `sinh-+-cosh_binary64_610` `sinh-cosh_binary64_609` `tanh-def-c_binary64_608` `tanh-def-b_binary64_607` `tanh-def-a_binary64_606` `cosh-def_binary64_605` `sinh-def_binary64_604` `tan-neg_binary64_551` `cos-neg_binary64_550` `sin-neg_binary64_549` `tan-0_binary64_548` `cos-0_binary64_547` `sin-0_binary64_546` `hang-m-tan_binary64_545` `hang-p-tan_binary64_544` `hang-m0-tan_binary64_543` `hang-p0-tan_binary64_542` `hang-0m-tan_binary64_541` `hang-0p-tan_binary64_540` `tan-+PI/2_binary64_539` `tan-+PI_binary64_538` `tan-PI_binary64_537` `tan-PI/3_binary64_536` `tan-PI/4_binary64_535` `tan-PI/6_binary64_534` `cos-+PI/2_binary64_533` `cos-+PI_binary64_532` `cos-PI_binary64_531` `cos-PI/2_binary64_530` `cos-PI/3_binary64_529` `cos-PI/4_binary64_528` `cos-PI/6_binary64_527` `sin-+PI/2_binary64_526` `sin-+PI_binary64_525` `sin-PI_binary64_524` `sin-PI/2_binary64_523` `sin-PI/3_binary64_522` `sin-PI/4_binary64_521` `sin-PI/6_binary64_520` `sub-1-sin_binary64_519` `sub-1-cos_binary64_518` `-1-add-sin_binary64_517` `-1-add-cos_binary64_516` `1-sub-sin_binary64_515` `1-sub-cos_binary64_514` `cos-sin-sum_binary64_513` `log-E_binary64_509` `pow-base-0_binary64_503` `unpow1/3_binary64_486` `exp-to-pow_binary64_481` `pow-base-1_binary64_479` `unpow0_binary64_478` `unpow-1_binary64_476` `exp-lft-cube_binary64_475` `exp-cbrt_binary64_473` `exp-sqrt_binary64_472` `div-exp_binary64_470` `rec-exp_binary64_469` `exp-diff_binary64_467` `exp-neg_binary64_466` `exp-sum_binary64_465` `e-exp-1_binary64_464` `exp-0_binary64_461` `rem-log-exp_binary64_460` `rem-exp-log_binary64_459` `cube-neg_binary64_446` `rem-3cbrt-lft_binary64_444` `rem-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `sqr-neg_binary64_433` `mul-1-neg_binary64_411` `sub0-neg_binary64_406` `--rgt-identity_binary64_405` `+-rgt-identity_binary64_404` `+-lft-identity_binary64_403` `mul0-rgt_binary64_402` `mul0-lft_binary64_401` `div0_binary64_400` `*-inverses_binary64_399` `+-inverses_binary64_398` `lft-mult-inverse_binary64_397` `rgt-mult-inverse_binary64_396` `difference-of-sqr--1_binary64_390` `difference-of-sqr-1_binary64_389` `difference-of-squares_binary64_388` `cancel-sign-sub_binary64_384` `distribute-frac-neg_binary64_382` `distribute-neg-out_binary64_381` `distribute-rgt-neg-out_binary64_379`

Counts

164 → 112

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	265	4120
1	677	3378
2	2952	3324
3	4203	3321
4	4919	3321
5	4970	3321

prune172.0ms (0.5%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	101	11	112
Fresh	7	10	17
Picked	1	0	1
Done	0	0	0
Total	109	21	130

Error

2.9b

Counts

130 → 21

Compiler

Compiled 2807 to 1290 computations (54% saved)

regimes4.5s (12.4%)

Accuracy

Total 2.4b remaining (81.1%)

Threshold costs 0b (0%)

Compiler

Compiled 49544 to 36698 computations (25.9% saved)

bsearch554.0ms (1.5%)

Steps

Iters	Range		Point
9	1.4229557986365682e-69	2.2133219659920364e-63	1.8331473560650358e-66
8	-2.4365530796824125e-134	-3.5322243978810535e-138	-3.394358466966619e-135

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64_350`
1×	`if-if-or-not_binary64_677` `unpow1_binary64_477` `1-exp_binary64_463` `sqr-abs_binary64_434`
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_679` `if-if-and_binary64_678` `if-if-or_binary64_676` `if-not_binary64_675` `if-same_binary64_674` `if-false_binary64_673` `if-true_binary64_672` `tan-0_binary64_548` `cos-0_binary64_547` `sin-0_binary64_546` `e-exp-1_binary64_464` `exp-1-e_binary64_462` `exp-0_binary64_461` `sqr-neg_binary64_433` `neg-mul-1_binary64_415` `neg-sub0_binary64_414` `unsub-neg_binary64_413` `sub-neg_binary64_412` `mul-1-neg_binary64_411` `/-rgt-identity_binary64_410` `-rgt-identity_binary64_409` `-lft-identity_binary64_408` `remove-double-neg_binary64_407` `sub0-neg_binary64_406` `--rgt-identity_binary64_405` `+-rgt-identity_binary64_404` `+-lft-identity_binary64_403` `cancel-sign-sub-inv_binary64_385` `cancel-sign-sub_binary64_384` `distribute-neg-frac_binary64_383` `distribute-frac-neg_binary64_382` `distribute-neg-out_binary64_381` `distribute-neg-in_binary64_380` `distribute-rgt-neg-out_binary64_379` `distribute-lft-neg-out_binary64_378` `distribute-rgt-neg-in_binary64_377` `distribute-lft-neg-in_binary64_376` `+-commutative_binary64_349`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	78
1	43	78
2	41	78

end0.0ms (0%)

sample18.8s (51.4%)

Algorithm

1×

intervals

Results

3.8s	1160×	body	4096	invalid
2.1s	3886×	body	1024	valid
2.0s	1049×	body	2048	invalid
1.0s	475×	body	4096	valid
972.0ms	996×	body	2048	valid
517.0ms	1369×	body	512	valid
433.0ms	718×	body	1024	invalid
171.0ms	467×	body	512	invalid
134.0ms	1033×	body	128	invalid
130.0ms	470×	body	256	valid
112.0ms	803×	body	128	valid
81.0ms	301×	body	256	invalid
3.0ms	1×	body	8192	valid

Compiler

Compiled 7603 to 5632 computations (25.9% saved)

Details

analyze2.6s (7.1%)

sample394.0ms (1.1%)

simplify24.0ms (0.1%)

prune5.0ms (0%)

localize16.0ms (0%)

rewrite405.0ms (1.1%)

series2.0s (5.4%)

simplify176.0ms (0.5%)

prune285.0ms (0.8%)

localize14.0ms (0%)

rewrite385.0ms (1.1%)

series1.9s (5.3%)

simplify245.0ms (0.7%)

prune249.0ms (0.7%)

localize17.0ms (0%)

rewrite334.0ms (0.9%)

series1.2s (3.2%)

simplify202.0ms (0.6%)

prune215.0ms (0.6%)

localize15.0ms (0%)

rewrite270.0ms (0.7%)

series1.4s (3.8%)

simplify168.0ms (0.5%)

prune172.0ms (0.5%)

regimes4.5s (12.4%)

bsearch554.0ms (1.5%)

simplify4.0ms (0%)

end0.0ms (0%)

sample18.8s (51.4%)

Profiling