Details

analyze1.2s (7.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

12×	`*-commutative_binary64_350`
8×	`associate-/l*_binary64_364`
4×	`associate-/r/_binary64_365` `associate-l/_binary64_362` `associate-r/_binary64_361`
3×	`+-commutative_binary64_349`
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` `unpow3_binary64_485` `unpow2_binary64_484` `unpow1/2_binary64_483` `pow-plus_binary64_482` `exp-to-pow_binary64_481` `pow-base-1_binary64_479` `unpow0_binary64_478` `unpow1_binary64_477` `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` `1-exp_binary64_463` `exp-1-e_binary64_462` `exp-0_binary64_461` `rem-log-exp_binary64_460` `rem-exp-log_binary64_459` `cube-unmult_binary64_456` `cube-mult_binary64_449` `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-sqrt-square_binary64_432` `rem-square-sqrt_binary64_431` `times-frac_binary64_425` `div-sub_binary64_424` `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` `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` `pow-sqr_binary64_392` `sqr-pow_binary64_391` `difference-of-sqr--1_binary64_390` `difference-of-sqr-1_binary64_389` `difference-of-squares_binary64_388` `unswap-sqr_binary64_387` `swap-sqr_binary64_386` `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` `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` `distribute-lft-out_binary64_370` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `count-2_binary64_367` `associate-/l/_binary64_366` `associate-/r_binary64_363` `associate-l_binary64_360` `associate-r_binary64_359` `associate--r-_binary64_358` `associate--l-_binary64_357` `associate--l+_binary64_356` `associate--r+_binary64_355` `associate-+l-_binary64_354` `associate-+r-_binary64_353` `associate-+l+_binary64_352` `associate-+r+_binary64_351`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	56
1	36	56
2	48	56
3	62	56
4	66	56
5	66	56
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
6.2%	93.6%	0.1%	7
9.4%	90.5%	0.1%	8
14%	85.8%	0.1%	9
19.5%	80.4%	0.1%	10
20.7%	79.2%	0.1%	11
22%	77.8%	0.1%	12
23.5%	76.4%	0.1%	13
23.8%	76%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample67.0ms (0.4%)

Algorithm

1×

intervals

Results

31.0ms	113×	body	1024	valid
12.0ms	59×	body	512	valid
5.0ms	9×	body	2048	valid
4.0ms	56×	body	128	valid
3.0ms	19×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64_350`
2×	`associate-/l*_binary64_364`
1×	`associate-/r/_binary64_365` `associate-l/_binary64_362` `associate-r/_binary64_361` `+-commutative_binary64_349`
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` `unpow3_binary64_485` `unpow2_binary64_484` `unpow1/2_binary64_483` `pow-plus_binary64_482` `exp-to-pow_binary64_481` `pow-base-1_binary64_479` `unpow0_binary64_478` `unpow1_binary64_477` `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` `1-exp_binary64_463` `exp-1-e_binary64_462` `exp-0_binary64_461` `rem-log-exp_binary64_460` `rem-exp-log_binary64_459` `cube-unmult_binary64_456` `cube-mult_binary64_449` `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-sqrt-square_binary64_432` `rem-square-sqrt_binary64_431` `times-frac_binary64_425` `div-sub_binary64_424` `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` `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` `pow-sqr_binary64_392` `sqr-pow_binary64_391` `difference-of-sqr--1_binary64_390` `difference-of-sqr-1_binary64_389` `difference-of-squares_binary64_388` `unswap-sqr_binary64_387` `swap-sqr_binary64_386` `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` `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` `distribute-lft-out_binary64_370` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `count-2_binary64_367` `associate-/l/_binary64_366` `associate-/r_binary64_363` `associate-l_binary64_360` `associate-r_binary64_359` `associate--r-_binary64_358` `associate--l-_binary64_357` `associate--l+_binary64_356` `associate--r+_binary64_355` `associate-+l-_binary64_354` `associate-+r-_binary64_353` `associate-+l+_binary64_352` `associate-+r+_binary64_351`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	13	14
2	16	14
3	20	14
4	21	14
5	21	14

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

15.2b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
0.2b	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
3.9b	(cos.f64 (+.f64 a b))

rewrite98.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

24×	`add-sqr-sqrt_binary64_441`
19×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419` `times-frac_binary64_425`
13×	`associate-r_binary64_359`
10×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
5×	`pow1_binary64_480`
3×	`add-log-exp_binary64_458` `associate-/l_binary64_364` `associate-/r_binary64_363` `associate-l_binary64_360`
2×	`div-exp_binary64_470` `cbrt-undiv_binary64_453` `div-inv_binary64_416` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387`
1×	`cos-sum_binary64_553` `frac-2neg_binary64_430` `clear-num_binary64_418` `pow-prod-down_binary64_490` `associate-r/_binary64_361` `-commutative_binary64_350`

Counts

3 → 67

Calls

3 calls:

8.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
5.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
5.0ms	(cos.f64 (+.f64 a b))

Compiler

Compiled 1186 to 235 computations (80.2% saved)

series736.0ms (4.7%)

Error

13.5b

Counts

3 → 36

Calls

3 calls:

418.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
216.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
60.0ms	(cos.f64 (+.f64 a b))

Compiler

Compiled 1699 to 1043 computations (38.6% saved)

simplify125.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

487×	`associate-/r*_binary64_363`
383×	`associate-*l/_binary64_362`
360×	`associate-*r/_binary64_361`
292×	`associate-+l+_binary64_352`
246×	`associate-/r/_binary64_365`
195×	`associate-/l/_binary64_366`
165×	`associate-r_binary64_359`
147×	`associate-l_binary64_360`
132×	`associate-/l*_binary64_364`
129×	`sub-neg_binary64_412`
125×	`sqr-pow_binary64_391`
110×	`times-frac_binary64_425`
96×	`*-commutative_binary64_350`
83×	`unswap-sqr_binary64_387`
73×	`cancel-sign-sub-inv_binary64_385`
64×	`associate-+r+_binary64_351`
63×	`+-commutative_binary64_349`
60×	`neg-mul-1_binary64_415`
58×	`*-rgt-identity_binary64_409`
51×	`neg-sub0_binary64_414`
49×	`*-lft-identity_binary64_408`
34×	`distribute-rgt-neg-in_binary64_377`
31×	`cube-prod_binary64_447`
28×	`log-prod_binary64_505` `distribute-lft-neg-in_binary64_376`
25×	`/-rgt-identity_binary64_410`
22×	`unpow3_binary64_485` `cube-div_binary64_448`
20×	`pow-sqr_binary64_392`
19×	`log-div_binary64_506` `associate-+l-_binary64_354`
17×	`cube-mult_binary64_449`
15×	`associate-+r-_binary64_353`
14×	`unsub-neg_binary64_413`
13×	`exp-prod_binary64_471`
11×	`cube-unmult_binary64_456`
10×	`+-rgt-identity_binary64_404` `associate--l+_binary64_356`
9×	`associate--r+_binary64_355`
8×	`unpow1/2_binary64_483` `rem-sqrt-square_binary64_432` `sub0-neg_binary64_406` `difference-of-squares_binary64_388` `distribute-rgt-out_binary64_372`
7×	`pow-plus_binary64_482`
6×	`unpow2_binary64_484` `unpow1_binary64_477` `distribute-lft-neg-out_binary64_378`
5×	`remove-double-neg_binary64_407` `swap-sqr_binary64_386` `distribute-rgt-out--_binary64_373` `distribute-rgt-in_binary64_369`
4×	`distribute-neg-in_binary64_380`
3×	`log-pow_binary64_508` `associate--l-_binary64_357`
2×	`distribute-neg-frac_binary64_383`
1×	`1-exp_binary64_463` `exp-1-e_binary64_462` `mul0-rgt_binary64_402` `mul0-lft_binary64_401` `distribute-lft-out--_binary64_371` `distribute-lft-in_binary64_368`
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-rec_binary64_507` `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-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` `mul-1-neg_binary64_411` `--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` `difference-of-sqr--1_binary64_390` `difference-of-sqr-1_binary64_389` `cancel-sign-sub_binary64_384` `distribute-frac-neg_binary64_382` `distribute-neg-out_binary64_381` `distribute-rgt-neg-out_binary64_379` `distribute-rgt1-in_binary64_375` `distribute-lft1-in_binary64_374` `distribute-lft-out_binary64_370` `count-2_binary64_367` `associate--r-_binary64_358`

Counts

103 → 91

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	203	2257
1	515	2111
2	1870	2073
3	4696	2073
4	4843	2073
5	5021	2073

prune122.0ms (0.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	81	10	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	10	92

Error

0.2b

Counts

92 → 10

Compiler

Compiled 1795 to 532 computations (70.4% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
0.2b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
0.2b	(*.f64 (sin.f64 b) (sin.f64 a))
0.2b	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))

rewrite193.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

29×	`add-sqr-sqrt_binary64_441`
22×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
20×	`associate-r_binary64_359`
19×	`times-frac_binary64_425`
13×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
8×	`pow1_binary64_480` `associate-/r/_binary64_365`
7×	`sin-mult_binary64_574`
6×	`add-log-exp_binary64_458` `cos-mult_binary64_573` `associate-l_binary64_360`
3×	`frac-sub_binary64_428` `sub-div_binary64_426` `flip3--_binary64_423` `flip--_binary64_394` `associate-/l_binary64_364` `associate-/r_binary64_363` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387`
2×	`div-exp_binary64_470` `cbrt-undiv_binary64_453` `div-inv_binary64_416` `pow-prod-down_binary64_490` `*-commutative_binary64_350`
1×	`frac-2neg_binary64_430` `clear-num_binary64_418` `associate-*r/_binary64_361` `diff-log_binary64_511` `sub-neg_binary64_412` `cancel-sign-sub-inv_binary64_385`

Counts

4 → 100

Calls

4 calls:

16.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
9.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
6.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
5.0ms	(*.f64 (sin.f64 b) (sin.f64 a))

Compiler

Compiled 2890 to 436 computations (84.9% saved)

series1.7s (11.1%)

Error

0.2b

Counts

4 → 46

Calls

4 calls:

849.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
455.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
242.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
154.0ms	(*.f64 (sin.f64 b) (sin.f64 a))

Compiler

Compiled 2545 to 1459 computations (42.7% saved)

simplify148.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

331×	`associate-/r/_binary64_365`
264×	`associate-r_binary64_359`
251×	`associate-/l/_binary64_366`
249×	`cancel-sign-sub-inv_binary64_385`
237×	`associate-l_binary64_360`
177×	`distribute-rgt-neg-in_binary64_377`
176×	`associate-/l*_binary64_364`
152×	`distribute-lft-neg-in_binary64_376`
143×	`*-commutative_binary64_350`
138×	`unswap-sqr_binary64_387`
133×	`neg-mul-1_binary64_415` `neg-sub0_binary64_414`
128×	`times-frac_binary64_425`
87×	`+-commutative_binary64_349`
81×	`exp-prod_binary64_471`
80×	`div-sub_binary64_424`
76×	`sub-neg_binary64_412`
75×	`associate-/r*_binary64_363`
71×	`associate-*r/_binary64_361`
68×	`sqr-pow_binary64_391`
66×	`associate-+r+_binary64_351`
62×	`cube-prod_binary64_447`
57×	`associate-*l/_binary64_362`
55×	`distribute-rgt-in_binary64_369`
53×	`log-prod_binary64_505`
52×	`associate-+l+_binary64_352`
48×	`*-rgt-identity_binary64_409`
46×	`distribute-lft-in_binary64_368`
35×	`*-lft-identity_binary64_408`
33×	`distribute-rgt-out_binary64_372`
31×	`cube-div_binary64_448`
29×	`log-div_binary64_506`
22×	`distribute-neg-frac_binary64_383`
21×	`distribute-lft-neg-out_binary64_378`
20×	`/-rgt-identity_binary64_410`
19×	`unpow3_binary64_485`
15×	`distribute-neg-in_binary64_380` `distribute-rgt-out--_binary64_373` `associate--l+_binary64_356` `associate--r+_binary64_355`
12×	`cube-unmult_binary64_456` `cube-mult_binary64_449`
11×	`unsub-neg_binary64_413` `swap-sqr_binary64_386`
10×	`exp-sum_binary64_465` `distribute-lft-out_binary64_370`
8×	`unpow1/2_binary64_483`
7×	`rem-sqrt-square_binary64_432`
6×	`unpow2_binary64_484` `pow-plus_binary64_482` `unpow1_binary64_477` `distribute-lft-out--_binary64_371`
5×	`log-rec_binary64_507` `exp-diff_binary64_467` `difference-of-squares_binary64_388` `distribute-rgt-neg-out_binary64_379`
4×	`log-pow_binary64_508`
3×	`pow-sqr_binary64_392` `associate--r-_binary64_358`
2×	`remove-double-neg_binary64_407` `associate-+r-_binary64_353`
1×	`div-exp_binary64_470` `1-exp_binary64_463` `exp-1-e_binary64_462` `cube-neg_binary64_446` `sqr-neg_binary64_433` `+-rgt-identity_binary64_404` `*-inverses_binary64_399` `+-inverses_binary64_398` `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` `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` `rec-exp_binary64_469` `prod-exp_binary64_468` `exp-neg_binary64_466` `e-exp-1_binary64_464` `exp-0_binary64_461` `rem-log-exp_binary64_460` `rem-exp-log_binary64_459` `rem-3cbrt-rft_binary64_445` `rem-3cbrt-lft_binary64_444` `rem-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `sqr-abs_binary64_434` `rem-square-sqrt_binary64_431` `mul-1-neg_binary64_411` `sub0-neg_binary64_406` `--rgt-identity_binary64_405` `+-lft-identity_binary64_403` `mul0-rgt_binary64_402` `mul0-lft_binary64_401` `div0_binary64_400` `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` `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` `count-2_binary64_367` `associate--l-_binary64_357`

Counts

146 → 126

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	277	4378
1	728	4079
2	2727	3753
3	4534	3753
4	4970	3753

prune179.0ms (1.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	115	11	126
Fresh	9	0	9
Picked	1	0	1
Done	0	0	0
Total	125	11	136

Error

0.0b

Counts

136 → 11

Compiler

Compiled 3428 to 880 computations (74.3% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
0.2b	(*.f64 (sin.f64 b) r)
0.2b	(*.f64 (sin.f64 b) (sin.f64 a))
0.2b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))

rewrite116.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64_441`
13×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
10×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
8×	`pow1_binary64_480`
6×	`add-log-exp_binary64_458` `associate-l_binary64_360` `associate-r_binary64_359`
5×	`sin-mult_binary64_574`
4×	`cos-mult_binary64_573` `associate-/r/_binary64_365`
3×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `times-frac_binary64_425` `associate-/r*_binary64_363`
2×	`div-exp_binary64_470` `cbrt-undiv_binary64_453` `frac-sub_binary64_428` `sub-div_binary64_426` `flip3--_binary64_423` `flip--_binary64_394` `pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `*-commutative_binary64_350`
1×	`frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416` `associate-/l*_binary64_364` `diff-log_binary64_511` `sub-neg_binary64_412` `cancel-sign-sub-inv_binary64_385`

Counts

4 → 76

Calls

4 calls:

10.0ms	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
6.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
5.0ms	(*.f64 (sin.f64 b) (sin.f64 a))
4.0ms	(*.f64 (sin.f64 b) r)

Compiler

Compiled 1946 to 307 computations (84.2% saved)

series1.4s (8.7%)

Error

0.0b

Counts

4 → 44

Calls

4 calls:

863.0ms	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
225.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
133.0ms	(*.f64 (sin.f64 b) (sin.f64 a))
111.0ms	(*.f64 (sin.f64 b) r)

Compiler

Compiled 2318 to 1283 computations (44.7% saved)

simplify88.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

489×	`associate-/r*_binary64_363`
335×	`cancel-sign-sub-inv_binary64_385`
326×	`associate-/l/_binary64_366`
308×	`associate-/r/_binary64_365`
212×	`distribute-rgt-neg-in_binary64_377`
197×	`associate-r_binary64_359`
189×	`distribute-lft-neg-in_binary64_376`
183×	`associate-l_binary64_360`
139×	`associate-/l*_binary64_364`
121×	`*-commutative_binary64_350`
118×	`unswap-sqr_binary64_387`
99×	`times-frac_binary64_425`
97×	`sub-neg_binary64_412`
72×	`sqr-pow_binary64_391`
69×	`+-commutative_binary64_349`
59×	`distribute-rgt-in_binary64_369`
57×	`neg-mul-1_binary64_415` `neg-sub0_binary64_414`
48×	`distribute-lft-in_binary64_368`
45×	`associate-*l/_binary64_362`
38×	`div-sub_binary64_424` `distribute-rgt-out_binary64_372`
34×	`*-rgt-identity_binary64_409` `associate-+r+_binary64_351`
32×	`exp-prod_binary64_471` `associate-*r/_binary64_361`
30×	`associate-+l+_binary64_352`
24×	`distribute-neg-frac_binary64_383`
23×	`distribute-lft-neg-out_binary64_378` `associate--l+_binary64_356`
21×	`cube-prod_binary64_447`
20×	`log-div_binary64_506` `distribute-rgt-out--_binary64_373`
19×	`*-lft-identity_binary64_408` `associate--r+_binary64_355`
17×	`distribute-neg-in_binary64_380`
16×	`cube-div_binary64_448`
15×	`log-prod_binary64_505` `unsub-neg_binary64_413` `/-rgt-identity_binary64_410`
14×	`distribute-lft-out_binary64_370`
11×	`swap-sqr_binary64_386`
10×	`distribute-lft-out--_binary64_371`
8×	`unpow3_binary64_485`
7×	`cube-mult_binary64_449`
6×	`unpow2_binary64_484` `unpow1/2_binary64_483` `unpow1_binary64_477`
5×	`difference-of-squares_binary64_388` `distribute-rgt-neg-out_binary64_379`
4×	`log-rec_binary64_507` `exp-sum_binary64_465` `cube-unmult_binary64_456`
3×	`pow-sqr_binary64_392` `associate--r-_binary64_358`
2×	`log-pow_binary64_508` `exp-diff_binary64_467` `rem-sqrt-square_binary64_432` `remove-double-neg_binary64_407`
1×	`div-exp_binary64_470` `1-exp_binary64_463` `exp-1-e_binary64_462` `+-rgt-identity_binary64_404` `*-inverses_binary64_399` `+-inverses_binary64_398` `associate-+r-_binary64_353`
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` `pow-plus_binary64_482` `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` `rec-exp_binary64_469` `prod-exp_binary64_468` `exp-neg_binary64_466` `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-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` `mul-1-neg_binary64_411` `sub0-neg_binary64_406` `--rgt-identity_binary64_405` `+-lft-identity_binary64_403` `mul0-rgt_binary64_402` `mul0-lft_binary64_401` `div0_binary64_400` `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` `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` `count-2_binary64_367` `associate--l-_binary64_357` `associate-+l-_binary64_354`

Counts

120 → 97

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	230	2808
1	634	2584
2	2294	2463
3	4965	2463

prune113.0ms (0.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	96	12	108

Error

0.0b

Counts

108 → 12

Compiler

Compiled 2513 to 644 computations (74.4% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 r (.f64 (sin.f64 b) (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))))
0.2b	(*.f64 (sin.f64 a) (sin.f64 b))
0.2b	(/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
0.3b	(.f64 (sin.f64 b) (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))

rewrite199.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

34×	`add-exp-log_binary64_457`
32×	`add-sqr-sqrt_binary64_441`
24×	`*-un-lft-identity_binary64_419`
23×	`add-cube-cbrt_binary64_454`
22×	`add-cbrt-cube_binary64_455`
21×	`associate-r_binary64_359`
20×	`times-frac_binary64_425`
14×	`pow1_binary64_480` `prod-exp_binary64_468`
9×	`associate-l_binary64_360`
8×	`cbrt-unprod_binary64_452` `associate-/r/_binary64_365`
6×	`div-exp_binary64_470`
5×	`pow-prod-down_binary64_490` `sin-mult_binary64_574`
4×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387` `associate-*r/_binary64_361` `cos-mult_binary64_573`
3×	`1-exp_binary64_463` `rec-exp_binary64_469` `cbrt-undiv_binary64_453` `-commutative_binary64_350` `associate-/l_binary64_364` `associate-/r*_binary64_363`
2×	`un-div-inv_binary64_417` `div-inv_binary64_416` `frac-sub_binary64_428` `sub-div_binary64_426` `flip3--_binary64_423` `flip--_binary64_394`
1×	`inv-pow_binary64_504` `pow-flip_binary64_493` `frac-2neg_binary64_430` `clear-num_binary64_418`

Counts

4 → 118

Calls

4 calls:

16.0ms	(.f64 r (.f64 (sin.f64 b) (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))))
14.0ms	(.f64 (sin.f64 b) (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
8.0ms	(/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
5.0ms	(*.f64 (sin.f64 a) (sin.f64 b))

Compiler

Compiled 3505 to 935 computations (73.3% saved)

series1.9s (11.8%)

Error

0.0b

Counts

4 → 46

Calls

4 calls:

826.0ms	(.f64 r (.f64 (sin.f64 b) (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))))
445.0ms	(.f64 (sin.f64 b) (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
390.0ms	(/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
137.0ms	(*.f64 (sin.f64 a) (sin.f64 b))

Compiler

Compiled 2859 to 1716 computations (40% saved)

simplify125.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

586×	`associate-/r*_binary64_363`
306×	`associate-r_binary64_359`
276×	`associate-l_binary64_360`
265×	`associate-/r/_binary64_365`
200×	`associate-/l/_binary64_366`
179×	`associate-/l*_binary64_364`
167×	`cancel-sign-sub-inv_binary64_385`
156×	`*-commutative_binary64_350`
155×	`unswap-sqr_binary64_387`
152×	`distribute-rgt-neg-in_binary64_377`
132×	`times-frac_binary64_425`
130×	`distribute-lft-neg-in_binary64_376`
105×	`associate-+r+_binary64_351`
104×	`+-commutative_binary64_349`
73×	`associate-+l+_binary64_352`
70×	`sqr-pow_binary64_391`
63×	`associate-*r/_binary64_361`
54×	`sub-neg_binary64_412`
43×	`distribute-rgt-in_binary64_369`
40×	`*-rgt-identity_binary64_409`
39×	`associate-*l/_binary64_362`
37×	`distribute-lft-in_binary64_368`
36×	`neg-mul-1_binary64_415` `neg-sub0_binary64_414`
31×	`exp-prod_binary64_471`
28×	`*-lft-identity_binary64_408`
27×	`swap-sqr_binary64_386`
24×	`log-prod_binary64_505` `cube-prod_binary64_447`
23×	`div-sub_binary64_424`
17×	`/-rgt-identity_binary64_410`
15×	`distribute-rgt-out_binary64_372`
13×	`distribute-lft-neg-out_binary64_378`
12×	`cube-div_binary64_448`
11×	`log-div_binary64_506` `distribute-neg-in_binary64_380`
10×	`unsub-neg_binary64_413` `distribute-neg-frac_binary64_383` `associate--l+_binary64_356`
8×	`unpow3_binary64_485` `distribute-rgt-out--_binary64_373`
7×	`cube-unmult_binary64_456` `cube-mult_binary64_449` `associate--r+_binary64_355` `associate-+r-_binary64_353`
6×	`unpow2_binary64_484` `unpow1/2_binary64_483` `unpow1_binary64_477`
5×	`difference-of-squares_binary64_388` `distribute-rgt-neg-out_binary64_379` `distribute-lft-out--_binary64_371`
4×	`distribute-lft-out_binary64_370`
3×	`log-rec_binary64_507` `+-rgt-identity_binary64_404` `pow-sqr_binary64_392` `associate--r-_binary64_358` `associate-+l-_binary64_354`
2×	`log-pow_binary64_508` `rem-sqrt-square_binary64_432` `remove-double-neg_binary64_407`
1×	`1-exp_binary64_463` `exp-1-e_binary64_462` `sub0-neg_binary64_406` `+-lft-identity_binary64_403` `+-inverses_binary64_398` `count-2_binary64_367`
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` `pow-plus_binary64_482` `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-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` `mul-1-neg_binary64_411` `--rgt-identity_binary64_405` `mul0-rgt_binary64_402` `mul0-lft_binary64_401` `div0_binary64_400` `*-inverses_binary64_399` `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` `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` `associate--l-_binary64_357`

Counts

164 → 119

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	304	4885
1	766	4422
2	2750	4297
3	5080	4297

prune118.0ms (0.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	119	12	131

Error

0.0b

Counts

131 → 12

Compiler

Compiled 2886 to 729 computations (74.7% saved)

regimes2.0s (12.7%)

Accuracy

Total 0.3b remaining (95%)

Threshold costs 0.3b (95%)

Compiler

Compiled 20165 to 11827 computations (41.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64_350`
4×	`sub-neg_binary64_412` `+-commutative_binary64_349`
3×	`neg-mul-1_binary64_415` `neg-sub0_binary64_414`
2×	`cancel-sign-sub-inv_binary64_385` `distribute-rgt-neg-in_binary64_377`
1×	`distribute-lft-neg-out_binary64_378` `distribute-lft-neg-in_binary64_376`
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` `unsub-neg_binary64_413` `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_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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	21	26
2	31	26
3	37	26
4	41	26
5	42	26
6	42	26

end0.0ms (0%)

sample5.1s (32.5%)

Algorithm

1×

intervals

Results

1.0s	3494×	body	1024	valid
293.0ms	1392×	body	512	valid
154.0ms	2337×	body	128	valid
115.0ms	198×	body	2048	valid
86.0ms	579×	body	256	valid

Compiler

Compiled 3997 to 2349 computations (41.2% saved)

Details

analyze1.2s (7.4%)

sample67.0ms (0.4%)

simplify8.0ms (0.1%)

prune3.0ms (0%)

localize14.0ms (0.1%)

rewrite98.0ms (0.6%)

series736.0ms (4.7%)

simplify125.0ms (0.8%)

prune122.0ms (0.8%)

localize14.0ms (0.1%)

rewrite193.0ms (1.2%)

series1.7s (11.1%)

simplify148.0ms (0.9%)

prune179.0ms (1.1%)

localize15.0ms (0.1%)

rewrite116.0ms (0.7%)

series1.4s (8.7%)

simplify88.0ms (0.6%)

prune113.0ms (0.7%)

localize15.0ms (0.1%)

rewrite199.0ms (1.3%)

series1.9s (11.8%)

simplify125.0ms (0.8%)

prune118.0ms (0.8%)

regimes2.0s (12.7%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample5.1s (32.5%)

Profiling