Details

analyze3.1s (7.4%)

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)

sample387.0ms (0.9%)

Algorithm

1×

intervals

Results

88.0ms	38×	body	4096	invalid
80.0ms	132×	body	1024	valid
66.0ms	34×	body	2048	invalid
40.0ms	12×	body	4096	valid
33.0ms	29×	body	2048	valid
20.0ms	46×	body	512	valid
11.0ms	20×	body	1024	invalid
10.0ms	40×	body	128	invalid
8.0ms	21×	body	512	invalid
4.0ms	13×	body	256	valid
4.0ms	24×	body	128	valid
1.0ms	5×	body	256	invalid

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify23.0ms (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

40.4b

Counts

2 → 1

Compiler

Compiled 42 to 34 computations (19% saved)

localize20.0ms (0%)

Local error

Found 4 expressions with local error:

0.8b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
0.8b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
16.8b	(/.f64 (pow.f64 t 3) (*.f64 l l))
28.5b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

rewrite623.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

27.3b

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:

21.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
16.0ms	(.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)

series1.9s (4.5%)

Error

23.4b

Counts

4 → 36

Calls

4 calls:

681.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
638.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
375.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
143.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 2334 to 1824 computations (21.9% saved)

simplify184.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

505×	`unswap-sqr_binary64_387`
486×	`associate-l_binary64_360`
337×	`associate-r_binary64_359`
223×	`associate-/l/_binary64_366`
179×	`*-commutative_binary64_350`
147×	`associate-*l/_binary64_362`
134×	`log-div_binary64_506` `times-frac_binary64_425`
127×	`associate-/l*_binary64_364`
112×	`log-prod_binary64_505`
94×	`sqr-pow_binary64_391`
87×	`associate-/r*_binary64_363`
76×	`associate-*r/_binary64_361`
64×	`cube-prod_binary64_447` `swap-sqr_binary64_386`
57×	`distribute-rgt-neg-in_binary64_377`
56×	`distribute-lft-neg-in_binary64_376`
55×	`cancel-sign-sub-inv_binary64_385`
51×	`exp-prod_binary64_471`
50×	`*-lft-identity_binary64_408`
40×	`sub-neg_binary64_412`
36×	`*-rgt-identity_binary64_409`
35×	`log-pow_binary64_508`
31×	`associate-+l+_binary64_352` `+-commutative_binary64_349`
25×	`cube-div_binary64_448`
22×	`distribute-neg-frac_binary64_383`
19×	`associate-/r/_binary64_365`
17×	`cube-unmult_binary64_456` `neg-mul-1_binary64_415` `neg-sub0_binary64_414`
15×	`distribute-rgt-in_binary64_369`
14×	`unpow2_binary64_484` `unpow1/2_binary64_483` `unpow1_binary64_477`
13×	`pow-sqr_binary64_392`
12×	`pow-plus_binary64_482`
11×	`rem-sqrt-square_binary64_432`
9×	`associate-+l-_binary64_354`
8×	`distribute-neg-in_binary64_380` `distribute-lft-in_binary64_368`
7×	`associate--l+_binary64_356`
6×	`unpow3_binary64_485` `associate--r+_binary64_355` `associate-+r+_binary64_351`
5×	`cube-mult_binary64_449`
4×	`unsub-neg_binary64_413` `/-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` `distribute-lft-neg-out_binary64_378`
1×	`log-rec_binary64_507` `1-exp_binary64_463` `exp-1-e_binary64_462` `rem-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `distribute-rgt-neg-out_binary64_379` `distribute-lft-out_binary64_370`
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

223 → 197

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	5487
1	652	4799
2	2895	4774
3	4857	4774
4	4975	4774

prune308.0ms (0.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	185	12	197
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	186	12	198

Error

18.0b

Counts

198 → 12

Compiler

Compiled 5207 to 2660 computations (48.9% saved)

localize21.0ms (0%)

Local error

Found 4 expressions with local error:

0.6b	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))
1.4b	(*.f64 t (pow.f64 (sin.f64 k) 2))
5.6b	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
21.1b	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))

rewrite383.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

12.4b

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:

17.0ms	(/.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)))
10.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
7.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

Compiler

Compiled 6000 to 2263 computations (62.3% saved)

series1.9s (4.7%)

Error

17.9b

Counts

4 → 39

Calls

4 calls:

826.0ms	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))
667.0ms	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))
247.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
152.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

Compiler

Compiled 2191 to 1645 computations (24.9% saved)

simplify209.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

560×	`times-frac_binary64_425`
286×	`associate-r_binary64_359`
282×	`associate-/r*_binary64_363`
257×	`cancel-sign-sub-inv_binary64_385`
252×	`associate-/l*_binary64_364`
246×	`associate-l_binary64_360`
230×	`log-prod_binary64_505`
195×	`log-div_binary64_506`
158×	`distribute-rgt-neg-in_binary64_377`
147×	`distribute-lft-neg-in_binary64_376`
143×	`*-commutative_binary64_350`
132×	`sub-neg_binary64_412`
103×	`associate-/r/_binary64_365`
92×	`unswap-sqr_binary64_387`
84×	`unpow3_binary64_485`
69×	`swap-sqr_binary64_386` `associate-*l/_binary64_362`
67×	`exp-prod_binary64_471`
53×	`distribute-neg-frac_binary64_383`
52×	`cube-prod_binary64_447`
50×	`neg-mul-1_binary64_415` `neg-sub0_binary64_414`
49×	`distribute-neg-in_binary64_380`
48×	`sqr-pow_binary64_391`
45×	`associate-*r/_binary64_361`
39×	`+-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`
22×	`distribute-rgt-out--_binary64_373` `distribute-lft-out--_binary64_371`
21×	`distribute-rgt-out_binary64_372`
19×	`unsub-neg_binary64_413`
16×	`*-lft-identity_binary64_408`
15×	`log-pow_binary64_508` `/-rgt-identity_binary64_410` `associate-+l+_binary64_352`
14×	`associate-+r+_binary64_351`
13×	`cube-unmult_binary64_456` `associate--r-_binary64_358`
11×	`div-sub_binary64_424`
8×	`pow-plus_binary64_482`
7×	`distribute-lft-neg-out_binary64_378` `distribute-lft-out_binary64_370`
6×	`pow-sqr_binary64_392` `distribute-frac-neg_binary64_382`
5×	`unpow2_binary64_484` `unpow1/2_binary64_483` `unpow1_binary64_477`
3×	`log-rec_binary64_507`
2×	`rem-sqrt-square_binary64_432` `distribute-rgt-neg-out_binary64_379` `count-2_binary64_367`
1×	`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` `distribute-rgt1-in_binary64_375` `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` `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-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `associate--l-_binary64_357` `associate-+l-_binary64_354` `associate-+r-_binary64_353`

Counts

223 → 174

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	302	7940
1	631	5901
2	3208	5854
3	4660	5826
4	5011	5826

prune242.0ms (0.6%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	165	9	174
Fresh	4	7	11
Picked	1	0	1
Done	0	0	0
Total	170	16	186

Error

13.8b

Counts

186 → 16

Compiler

Compiled 4123 to 2012 computations (51.2% saved)

localize18.0ms (0%)

Local error

Found 4 expressions with local error:

0.6b	(/.f64 2 (/.f64 (.f64 k k) (/.f64 (.f64 l l) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)))))
1.4b	(*.f64 t (pow.f64 (sin.f64 k) 2))
13.6b	(/.f64 (.f64 l l) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)))
14.4b	(/.f64 (.f64 k k) (/.f64 (.f64 l l) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))

rewrite571.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

2.0b

Rules

288×	`add-exp-log_binary64_457`
184×	`times-frac_binary64_425`
173×	`add-cbrt-cube_binary64_455`
157×	`div-exp_binary64_470`
93×	`cbrt-undiv_binary64_453`
80×	`prod-exp_binary64_468`
57×	`add-sqr-sqrt_binary64_441`
51×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
40×	`cbrt-unprod_binary64_452`
36×	`associate-/r*_binary64_363`
21×	`div-inv_binary64_416`
13×	`associate-/r/_binary64_365`
11×	`pow-to-exp_binary64_488` `pow-exp_binary64_487`
8×	`associate-r_binary64_359`
5×	`associate-/l*_binary64_364`
4×	`pow1_binary64_480` `add-log-exp_binary64_458` `unpow-prod-down_binary64_498` `unswap-sqr_binary64_387`
3×	`frac-2neg_binary64_430` `clear-num_binary64_418` `associate-l_binary64_360`
2×	`unpow2_binary64_484` `sqr-pow_binary64_391`
1×	`*-commutative_binary64_350`

Counts

4 → 261

Calls

4 calls:

18.0ms	(/.f64 2 (/.f64 (.f64 k k) (/.f64 (.f64 l l) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)))))
16.0ms	(/.f64 (.f64 k k) (/.f64 (.f64 l l) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
9.0ms	(/.f64 (.f64 l l) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)))
7.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

Compiler

Compiled 8342 to 3707 computations (55.6% saved)

series2.3s (5.5%)

Error

13.8b

Counts

4 → 42

Calls

4 calls:

815.0ms	(/.f64 2 (/.f64 (.f64 k k) (/.f64 (.f64 l l) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)))))
665.0ms	(/.f64 (.f64 k k) (/.f64 (.f64 l l) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
576.0ms	(/.f64 (.f64 l l) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)))
170.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

Compiler

Compiled 2394 to 1818 computations (24.1% saved)

simplify293.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

439×	`associate-/r/_binary64_365`
348×	`log-prod_binary64_505`
307×	`times-frac_binary64_425`
297×	`log-div_binary64_506`
296×	`associate-/l*_binary64_364`
294×	`associate-*l/_binary64_362`
285×	`associate-/l/_binary64_366`
266×	`associate-/r*_binary64_363`
223×	`*-commutative_binary64_350`
221×	`associate-l_binary64_360`
204×	`associate-r_binary64_359`
192×	`associate-*r/_binary64_361`
157×	`sub-neg_binary64_412`
79×	`*-rgt-identity_binary64_409`
60×	`exp-prod_binary64_471`
57×	`neg-mul-1_binary64_415` `neg-sub0_binary64_414`
47×	`cube-div_binary64_448` `cube-prod_binary64_447` `*-lft-identity_binary64_408`
41×	`sqr-pow_binary64_391`
35×	`associate--r+_binary64_355` `+-commutative_binary64_349`
26×	`cancel-sign-sub-inv_binary64_385`
22×	`unsub-neg_binary64_413`
20×	`distribute-neg-in_binary64_380`
19×	`/-rgt-identity_binary64_410`
17×	`distribute-neg-frac_binary64_383` `associate--l+_binary64_356`
15×	`log-pow_binary64_508`
14×	`log-rec_binary64_507` `div-sub_binary64_424`
13×	`cube-unmult_binary64_456` `unswap-sqr_binary64_387` `distribute-rgt-neg-in_binary64_377` `distribute-lft-neg-in_binary64_376`
12×	`swap-sqr_binary64_386`
9×	`associate-+r+_binary64_351`
8×	`pow-plus_binary64_482` `associate--r-_binary64_358`
6×	`associate-+l+_binary64_352`
5×	`unpow2_binary64_484` `unpow1/2_binary64_483` `unpow1_binary64_477` `pow-sqr_binary64_392`
4×	`distribute-rgt-out_binary64_372`
3×	`remove-double-neg_binary64_407`
2×	`rem-sqrt-square_binary64_432` `div0_binary64_400` `distribute-rgt-out--_binary64_373` `count-2_binary64_367` `associate-+r-_binary64_353`
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-div_binary64_395` `distribute-lft-out--_binary64_371`
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` `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-lft-neg-out_binary64_378` `distribute-rgt1-in_binary64_375` `distribute-lft1-in_binary64_374` `distribute-lft-out_binary64_370` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `associate--l-_binary64_357` `associate-+l-_binary64_354`

Counts

303 → 260

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	450	11003
1	965	8871
2	4168	8836
3	4682	8813
4	5083	8813

prune392.0ms (0.9%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	245	15	260
Fresh	13	2	15
Picked	1	0	1
Done	0	0	0
Total	259	17	276

Error

1.4b

Counts

276 → 17

Compiler

Compiled 6759 to 3237 computations (52.1% saved)

localize18.0ms (0%)

Local error

Found 4 expressions with local error:

0.6b	(/.f64 2 (.f64 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)) (/.f64 k l)))
1.4b	(.f64 (/.f64 l k) (/.f64 2 (.f64 (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)) (/.f64 k l))))
1.4b	(*.f64 t (pow.f64 (sin.f64 k) 2))
5.3b	(.f64 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)) (/.f64 k l))

rewrite358.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

231×	`add-exp-log_binary64_457`
140×	`add-cbrt-cube_binary64_455`
97×	`div-exp_binary64_470`
91×	`prod-exp_binary64_468`
57×	`cbrt-undiv_binary64_453`
49×	`cbrt-unprod_binary64_452`
43×	`add-sqr-sqrt_binary64_441`
31×	`associate-r_binary64_359`
29×	`times-frac_binary64_425`
27×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
23×	`associate-l_binary64_360`
9×	`pow-to-exp_binary64_488` `pow-exp_binary64_487`
8×	`pow1_binary64_480` `unswap-sqr_binary64_387`
6×	`associate-/r/_binary64_365`
5×	`div-inv_binary64_416`
4×	`add-log-exp_binary64_458` `frac-times_binary64_429` `associate-l/_binary64_362` `associate-r/_binary64_361` `unpow-prod-down_binary64_498`
3×	`-commutative_binary64_350` `associate-/l_binary64_364`
2×	`pow-prod-down_binary64_490` `unpow2_binary64_484` `sqr-pow_binary64_391`
1×	`frac-2neg_binary64_430` `clear-num_binary64_418` `associate-/r*_binary64_363`

Counts

4 → 192

Calls

4 calls:

19.0ms	(.f64 (/.f64 l k) (/.f64 2 (.f64 (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)) (/.f64 k l))))
14.0ms	(.f64 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)) (/.f64 k l))
11.0ms	(/.f64 2 (.f64 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)) (/.f64 k l)))
9.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

Compiler

Compiled 5903 to 2552 computations (56.8% saved)

series2.4s (5.7%)

Error

1.4b

Counts

4 → 45

Calls

4 calls:

843.0ms	(.f64 (/.f64 l k) (/.f64 2 (.f64 (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)) (/.f64 k l))))
720.0ms	(/.f64 2 (.f64 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)) (/.f64 k l)))
621.0ms	(.f64 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)) (/.f64 k l))
146.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

Compiler

Compiled 2537 to 1793 computations (29.3% saved)

simplify211.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

367×	`associate-*l/_binary64_362`
348×	`associate-*r/_binary64_361`
327×	`associate-l_binary64_360`
299×	`associate-/r*_binary64_363`
289×	`times-frac_binary64_425` `associate-/l*_binary64_364`
281×	`log-prod_binary64_505` `*-commutative_binary64_350`
264×	`associate-r_binary64_359`
249×	`log-div_binary64_506`
167×	`associate-/r/_binary64_365`
155×	`cancel-sign-sub-inv_binary64_385`
114×	`sub-neg_binary64_412`
63×	`unswap-sqr_binary64_387`
58×	`exp-prod_binary64_471` `sqr-pow_binary64_391`
51×	`associate-/l/_binary64_366`
50×	`*-lft-identity_binary64_408`
49×	`cube-prod_binary64_447` `swap-sqr_binary64_386`
46×	`*-rgt-identity_binary64_409`
44×	`cube-div_binary64_448` `+-commutative_binary64_349`
43×	`neg-mul-1_binary64_415` `neg-sub0_binary64_414`
34×	`associate--r+_binary64_355`
33×	`/-rgt-identity_binary64_410`
24×	`associate-+l+_binary64_352`
21×	`associate-+l-_binary64_354`
18×	`associate-+r-_binary64_353`
16×	`unsub-neg_binary64_413`
15×	`log-pow_binary64_508` `cube-unmult_binary64_456` `associate-+r+_binary64_351`
14×	`distribute-neg-in_binary64_380`
13×	`associate--l+_binary64_356`
11×	`distribute-rgt-neg-in_binary64_377`
10×	`distribute-lft-neg-in_binary64_376`
9×	`distribute-neg-frac_binary64_383` `associate--r-_binary64_358`
7×	`log-rec_binary64_507`
5×	`unpow2_binary64_484` `unpow1/2_binary64_483` `pow-plus_binary64_482` `unpow1_binary64_477` `pow-sqr_binary64_392`
4×	`rem-sqrt-square_binary64_432` `distribute-rgt-out_binary64_372`
2×	`distribute-rgt-out--_binary64_373`
1×	`unpow3_binary64_485` `exp-lft-sqr_binary64_474` `1-exp_binary64_463` `exp-1-e_binary64_462` `cube-mult_binary64_449` `rem-3cbrt-rft_binary64_445` `rem-3cbrt-lft_binary64_444` `rem-square-sqrt_binary64_431` `remove-double-div_binary64_395`
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-neg_binary64_446` `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` `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` `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-lft-neg-out_binary64_378` `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` `count-2_binary64_367` `associate--l-_binary64_357`

Counts

237 → 195

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	377	7659
1	992	5896
2	3895	5888
3	4769	5888
4	5097	5888

prune247.0ms (0.6%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	191	4	195
Fresh	5	11	16
Picked	1	0	1
Done	0	0	0
Total	197	15	212

Error

0.1b

Counts

212 → 15

Compiler

Compiled 4579 to 2143 computations (53.2% saved)

regimes4.6s (11.1%)

Accuracy

Total 2.2b remaining (92%)

Threshold costs 0b (0%)

Compiler

Compiled 55016 to 40651 computations (26.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4× *-commutative_binary64_350

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-not_binary64_677 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 unpow1_binary64_477 e-exp-1_binary64_464 1-exp_binary64_463 exp-1-e_binary64_462 exp-0_binary64_461 sqr-abs_binary64_434 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	15	31
1	19	31
2	19	31

end0.0ms (0%)

sample20.9s (50.3%)

Algorithm

1×

intervals

Results

4.1s	1249×	body	4096	invalid
2.4s	3859×	body	1024	valid
2.3s	1084×	body	2048	invalid
1.0s	980×	body	2048	valid
1.0s	488×	body	4096	valid
633.0ms	1403×	body	512	valid
438.0ms	675×	body	1024	invalid
224.0ms	532×	body	512	invalid
171.0ms	1038×	body	128	invalid
141.0ms	445×	body	256	valid
126.0ms	825×	body	128	valid
82.0ms	287×	body	256	invalid

Compiler

Compiled 8454 to 6264 computations (25.9% saved)

Details

analyze3.1s (7.4%)

sample387.0ms (0.9%)

simplify23.0ms (0.1%)

prune5.0ms (0%)

localize20.0ms (0%)

rewrite623.0ms (1.5%)

series1.9s (4.5%)

simplify184.0ms (0.4%)

prune308.0ms (0.7%)

localize21.0ms (0%)

rewrite383.0ms (0.9%)

series1.9s (4.7%)

simplify209.0ms (0.5%)

prune242.0ms (0.6%)

localize18.0ms (0%)

rewrite571.0ms (1.4%)

series2.3s (5.5%)

simplify293.0ms (0.7%)

prune392.0ms (0.9%)

localize18.0ms (0%)

rewrite358.0ms (0.9%)

series2.4s (5.7%)

simplify211.0ms (0.5%)

prune247.0ms (0.6%)

regimes4.6s (11.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample20.9s (50.3%)

Profiling