Details

analyze1.3s (9.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

12×	`*-commutative_binary64_350`
8×	`associate-/r/_binary64_365` `associate-/l*_binary64_364`
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_362` `associate-r/_binary64_361` `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	50	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)

sample71.0ms (0.5%)

Algorithm

1×

intervals

Results

30.0ms	113×	body	1024	valid
16.0ms	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)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64_350`
2×	`associate-/r/_binary64_365` `associate-/l*_binary64_364`
1×	`+-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_362` `associate-r/_binary64_361` `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	17	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)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite66.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

10×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
9×	`add-sqr-sqrt_binary64_441`
7×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
5×	`pow1_binary64_480`
3×	`add-log-exp_binary64_458` `times-frac_binary64_425` `associate-/r_binary64_363` `associate-l_binary64_360` `associate-r*_binary64_359`
2×	`prod-exp_binary64_468` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `cbrt-unprod_binary64_452`
1×	`cos-sum_binary64_553` `frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416` `associate-/l_binary64_364` `pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `-commutative_binary64_350`

Counts

3 → 47

Calls

3 calls:

5.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
4.0ms	(*.f64 r (sin.f64 b))
4.0ms	(cos.f64 (+.f64 a b))

Compiler

Compiled 725 to 158 computations (78.2% saved)

series621.0ms (4.7%)

Error

13.5b

Counts

3 → 34

Calls

3 calls:

414.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
110.0ms	(*.f64 r (sin.f64 b))
59.0ms	(cos.f64 (+.f64 a b))

Compiler

Compiled 1395 to 849 computations (39.1% saved)

simplify97.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

449×	`associate-/r*_binary64_363`
371×	`associate-*l/_binary64_362`
294×	`associate-*r/_binary64_361`
293×	`associate-/l/_binary64_366`
272×	`associate-/r/_binary64_365`
213×	`sub-neg_binary64_412`
158×	`cancel-sign-sub-inv_binary64_385`
156×	`associate-+l+_binary64_352`
153×	`sqr-pow_binary64_391`
140×	`associate-r_binary64_359`
121×	`associate-+r+_binary64_351`
116×	`associate-l_binary64_360`
114×	`associate-/l*_binary64_364`
103×	`neg-mul-1_binary64_415`
90×	`times-frac_binary64_425` `neg-sub0_binary64_414`
88×	`*-rgt-identity_binary64_409`
79×	`distribute-rgt-neg-in_binary64_377`
76×	`*-commutative_binary64_350`
69×	`distribute-lft-neg-in_binary64_376`
56×	`unswap-sqr_binary64_387`
54×	`*-lft-identity_binary64_408`
49×	`log-div_binary64_506` `cube-prod_binary64_447`
46×	`cube-div_binary64_448`
45×	`+-commutative_binary64_349`
42×	`log-prod_binary64_505`
29×	`/-rgt-identity_binary64_410`
28×	`unpow3_binary64_485` `associate--l+_binary64_356` `associate-+l-_binary64_354`
27×	`unsub-neg_binary64_413`
26×	`exp-prod_binary64_471`
23×	`cube-mult_binary64_449` `pow-sqr_binary64_392` `associate-+r-_binary64_353`
16×	`+-rgt-identity_binary64_404`
14×	`associate--r+_binary64_355`
13×	`distribute-rgt-out_binary64_372`
11×	`log-rec_binary64_507` `sub0-neg_binary64_406`
10×	`distribute-neg-frac_binary64_383` `distribute-rgt-out--_binary64_373`
9×	`cube-unmult_binary64_456`
8×	`unpow1/2_binary64_483` `rem-sqrt-square_binary64_432` `distribute-lft-neg-out_binary64_378` `associate--l-_binary64_357`
7×	`pow-plus_binary64_482` `remove-double-neg_binary64_407`
6×	`unpow2_binary64_484` `unpow1_binary64_477` `swap-sqr_binary64_386` `distribute-neg-in_binary64_380` `distribute-rgt-in_binary64_369`
5×	`distribute-lft-out--_binary64_371`
4×	`div-sub_binary64_424` `distribute-lft-out_binary64_370`
3×	`log-pow_binary64_508`
2×	`div0_binary64_400`
1×	`1-exp_binary64_463` `exp-1-e_binary64_462` `+-inverses_binary64_398` `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-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` `+-lft-identity_binary64_403` `mul0-rgt_binary64_402` `mul0-lft_binary64_401` `*-inverses_binary64_399` `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-rgt1-in_binary64_375` `distribute-lft1-in_binary64_374` `distribute-lft-in_binary64_368` `count-2_binary64_367` `associate--r-_binary64_358`

Counts

81 → 62

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	166	1453
1	439	1331
2	1605	1299
3	4520	1299
4	4748	1299
5	4957	1299

prune78.0ms (0.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	52	10	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	10	63

Error

0.2b

Counts

63 → 10

Compiler

Compiled 1140 to 400 computations (64.9% 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 r (sin.f64 b))
0.2b	(*.f64 (sin.f64 b) (sin.f64 a))
0.2b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))

rewrite123.0ms (0.9%)

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:

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

Compiler

Compiled 1946 to 307 computations (84.2% saved)

series1.4s (10.2%)

Error

0.2b

Counts

4 → 44

Calls

4 calls:

833.0ms	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
223.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
141.0ms	(*.f64 (sin.f64 b) (sin.f64 a))
115.0ms	(*.f64 r (sin.f64 b))

Compiler

Compiled 2318 to 1286 computations (44.5% saved)

simplify139.0ms (1%)

Algorithm

1×	egg-herbie

Rules

359×	`associate-/l/_binary64_366`
338×	`associate-/r/_binary64_365`
337×	`cancel-sign-sub-inv_binary64_385`
229×	`associate-r_binary64_359`
223×	`distribute-rgt-neg-in_binary64_377`
197×	`associate-l_binary64_360`
194×	`distribute-lft-neg-in_binary64_376`
150×	`associate-/l*_binary64_364`
128×	`div-sub_binary64_424`
118×	`*-commutative_binary64_350`
115×	`unswap-sqr_binary64_387`
112×	`times-frac_binary64_425`
98×	`sub-neg_binary64_412`
90×	`log-prod_binary64_505`
80×	`exp-prod_binary64_471`
74×	`sqr-pow_binary64_391`
73×	`associate-/r*_binary64_363`
69×	`+-commutative_binary64_349`
65×	`cube-prod_binary64_447`
60×	`distribute-rgt-in_binary64_369`
57×	`neg-mul-1_binary64_415` `neg-sub0_binary64_414`
51×	`log-div_binary64_506`
49×	`distribute-lft-in_binary64_368`
45×	`associate-*l/_binary64_362`
43×	`*-rgt-identity_binary64_409`
42×	`cube-div_binary64_448`
38×	`distribute-rgt-out_binary64_372`
37×	`associate-*r/_binary64_361`
34×	`associate-+r+_binary64_351`
30×	`associate-+l+_binary64_352`
23×	`unpow3_binary64_485` `*-lft-identity_binary64_408` `distribute-lft-neg-out_binary64_378` `associate--l+_binary64_356`
20×	`distribute-rgt-out--_binary64_373`
19×	`/-rgt-identity_binary64_410` `distribute-neg-frac_binary64_383` `associate--r+_binary64_355`
17×	`distribute-neg-in_binary64_380`
16×	`cube-mult_binary64_449`
15×	`unsub-neg_binary64_413`
14×	`distribute-lft-out_binary64_370`
12×	`log-rec_binary64_507` `swap-sqr_binary64_386`
10×	`exp-sum_binary64_465` `cube-unmult_binary64_456` `distribute-lft-out--_binary64_371`
8×	`unpow1/2_binary64_483`
7×	`rem-sqrt-square_binary64_432`
6×	`log-pow_binary64_508` `unpow2_binary64_484` `pow-plus_binary64_482` `unpow1_binary64_477`
5×	`exp-diff_binary64_467` `difference-of-squares_binary64_388` `distribute-rgt-neg-out_binary64_379`
3×	`pow-sqr_binary64_392` `associate--r-_binary64_358`
2×	`remove-double-neg_binary64_407`
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-+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` `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` `associate-+l-_binary64_354`

Counts

120 → 76

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	232	2810
1	636	2586
2	2407	2358
3	4540	2358
4	4990	2358
5	4981	2358

prune107.0ms (0.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	66	10	76
Fresh	8	1	9
Picked	1	0	1
Done	0	0	0
Total	75	11	86

Error

0.0b

Counts

86 → 11

Compiler

Compiled 1937 to 574 computations (70.4% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (cos.f64 b) (cos.f64 a))
0.1b	(-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))
0.2b	(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))
0.3b	(/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b))

rewrite143.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

31×	`add-sqr-sqrt_binary64_441`
29×	`*-un-lft-identity_binary64_419`
19×	`add-cube-cbrt_binary64_454`
18×	`times-frac_binary64_425`
13×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
8×	`associate-/r*_binary64_363`
6×	`pow1_binary64_480` `add-log-exp_binary64_458`
5×	`difference-of-squares_binary64_388` `distribute-lft-out--_binary64_371`
4×	`associate-/l*_binary64_364`
3×	`div-exp_binary64_470` `cbrt-undiv_binary64_453` `cancel-sign-sub-inv_binary64_385` `associate-l_binary64_360` `associate-r_binary64_359`
2×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416` `cos-mult_binary64_573` `flip3--_binary64_423` `associate-/r/_binary64_365` `flip--_binary64_394`
1×	`associate-/l/_binary64_366` `diff-log_binary64_511` `sub-neg_binary64_412` `pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `*-commutative_binary64_350`

Counts

4 → 94

Calls

4 calls:

9.0ms	(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))
8.0ms	(-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))
5.0ms	(/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b))
5.0ms	(*.f64 (cos.f64 b) (cos.f64 a))

Compiler

Compiled 2167 to 410 computations (81.1% saved)

series1.5s (11.2%)

Error

0.0b

Counts

4 → 50

Calls

4 calls:

756.0ms	(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))
285.0ms	(/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b))
250.0ms	(-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))
151.0ms	(*.f64 (cos.f64 b) (cos.f64 a))

Compiler

Compiled 2302 to 1364 computations (40.7% saved)

simplify108.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

623×	`associate-/r*_binary64_363`
434×	`associate-/l/_binary64_366`
365×	`associate-/r/_binary64_365`
291×	`cancel-sign-sub-inv_binary64_385`
158×	`associate-/l*_binary64_364`
148×	`associate-r_binary64_359`
135×	`distribute-rgt-neg-in_binary64_377`
133×	`associate-l_binary64_360`
126×	`times-frac_binary64_425`
119×	`distribute-lft-neg-in_binary64_376`
118×	`sub-neg_binary64_412`
107×	`unswap-sqr_binary64_387`
106×	`*-commutative_binary64_350`
83×	`+-commutative_binary64_349`
63×	`sqr-pow_binary64_391`
61×	`neg-mul-1_binary64_415`
60×	`associate-*l/_binary64_362`
59×	`neg-sub0_binary64_414`
54×	`distribute-rgt-in_binary64_369`
46×	`associate-*r/_binary64_361`
38×	`associate-+r+_binary64_351`
36×	`associate-+l+_binary64_352`
35×	`distribute-neg-frac_binary64_383`
31×	`*-rgt-identity_binary64_409` `distribute-neg-in_binary64_380` `distribute-lft-in_binary64_368` `associate--r+_binary64_355`
27×	`associate--l+_binary64_356`
26×	`unsub-neg_binary64_413` `distribute-rgt-out_binary64_372`
23×	`exp-prod_binary64_471`
22×	`log-div_binary64_506`
21×	`cube-div_binary64_448`
20×	`/-rgt-identity_binary64_410`
16×	`cube-prod_binary64_447` `distribute-lft-neg-out_binary64_378`
13×	`swap-sqr_binary64_386`
12×	`div-sub_binary64_424` `*-lft-identity_binary64_408` `distribute-rgt-out--_binary64_373` `distribute-lft-out_binary64_370`
11×	`log-prod_binary64_505`
10×	`unpow3_binary64_485`
9×	`cube-mult_binary64_449`
8×	`cube-unmult_binary64_456`
6×	`unpow2_binary64_484` `unpow1/2_binary64_483` `unpow1_binary64_477`
5×	`distribute-lft-out--_binary64_371`
4×	`log-rec_binary64_507` `rem-sqrt-square_binary64_432` `difference-of-squares_binary64_388` `distribute-rgt-neg-out_binary64_379` `distribute-rgt1-in_binary64_375`
3×	`log-pow_binary64_508` `exp-sum_binary64_465` `+-rgt-identity_binary64_404` `associate-+r-_binary64_353`
2×	`exp-diff_binary64_467`
1×	`div-exp_binary64_470` `1-exp_binary64_463` `exp-1-e_binary64_462` `rem-3cbrt-lft_binary64_444` `rem-square-sqrt_binary64_431` `remove-double-neg_binary64_407` `pow-sqr_binary64_392` `cancel-sign-sub_binary64_384` `associate--r-_binary64_358`
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-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` `+-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` `distribute-frac-neg_binary64_382` `distribute-neg-out_binary64_381` `distribute-lft1-in_binary64_374` `count-2_binary64_367` `associate--l-_binary64_357` `associate-+l-_binary64_354`

Counts

144 → 117

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	284	3578
1	707	3411
2	2346	3353
3	5066	3353

prune138.0ms (1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	115	2	117
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	118	10	128

Error

0.0b

Counts

128 → 10

Compiler

Compiled 2732 to 711 computations (74% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite150.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

4 → 102

Calls

4 calls:

10.0ms	(-.f64 (*.f64 (cos.f64 b) (/.f64 (cos.f64 a) (sin.f64 b))) (sin.f64 a))
9.0ms	(/.f64 r (-.f64 (*.f64 (cos.f64 b) (/.f64 (cos.f64 a) (sin.f64 b))) (sin.f64 a)))
9.0ms	(*.f64 (cos.f64 b) (/.f64 (cos.f64 a) (sin.f64 b)))
4.0ms	(/.f64 (cos.f64 a) (sin.f64 b))

Compiler

Compiled 2364 to 472 computations (80% saved)

series1.5s (11.3%)

Error

0.0b

Counts

4 → 50

Calls

4 calls:

757.0ms	(/.f64 r (-.f64 (*.f64 (cos.f64 b) (/.f64 (cos.f64 a) (sin.f64 b))) (sin.f64 a)))
268.0ms	(*.f64 (cos.f64 b) (/.f64 (cos.f64 a) (sin.f64 b)))
263.0ms	(-.f64 (*.f64 (cos.f64 b) (/.f64 (cos.f64 a) (sin.f64 b))) (sin.f64 a))
174.0ms	(/.f64 (cos.f64 a) (sin.f64 b))

Compiler

Compiled 2322 to 1376 computations (40.7% saved)

simplify115.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

545×	`associate-/r*_binary64_363`
445×	`associate-*l/_binary64_362`
276×	`associate-/r/_binary64_365`
259×	`associate-/l/_binary64_366`
170×	`cancel-sign-sub-inv_binary64_385`
155×	`associate-r_binary64_359`
146×	`associate-l_binary64_360`
139×	`associate-/l*_binary64_364`
120×	`*-commutative_binary64_350`
108×	`unswap-sqr_binary64_387`
100×	`sub-neg_binary64_412`
95×	`times-frac_binary64_425`
87×	`associate-*r/_binary64_361`
85×	`distribute-rgt-neg-in_binary64_377`
81×	`+-commutative_binary64_349`
73×	`distribute-lft-neg-in_binary64_376`
61×	`sqr-pow_binary64_391`
50×	`neg-mul-1_binary64_415` `distribute-rgt-in_binary64_369`
48×	`neg-sub0_binary64_414`
47×	`associate-+r+_binary64_351`
43×	`associate-+l+_binary64_352`
39×	`distribute-neg-frac_binary64_383`
31×	`*-rgt-identity_binary64_409` `distribute-lft-in_binary64_368`
29×	`distribute-neg-in_binary64_380`
28×	`distribute-rgt-out_binary64_372`
27×	`associate--r+_binary64_355`
23×	`cube-prod_binary64_447`
22×	`exp-prod_binary64_471` `unsub-neg_binary64_413`
21×	`*-lft-identity_binary64_408`
19×	`associate--l+_binary64_356`
18×	`/-rgt-identity_binary64_410`
17×	`log-prod_binary64_505`
15×	`distribute-lft-out_binary64_370`
13×	`log-div_binary64_506` `distribute-lft-neg-out_binary64_378`
11×	`cube-div_binary64_448` `swap-sqr_binary64_386`
10×	`unpow3_binary64_485` `div-sub_binary64_424`
9×	`cube-mult_binary64_449`
6×	`unpow2_binary64_484` `unpow1/2_binary64_483` `unpow1_binary64_477` `cube-unmult_binary64_456`
4×	`rem-sqrt-square_binary64_432` `distribute-rgt-neg-out_binary64_379` `distribute-rgt-out--_binary64_373`
3×	`log-pow_binary64_508` `exp-sum_binary64_465` `difference-of-squares_binary64_388` `associate-+r-_binary64_353`
2×	`exp-diff_binary64_467` `+-rgt-identity_binary64_404`
1×	`log-rec_binary64_507` `div-exp_binary64_470` `1-exp_binary64_463` `exp-1-e_binary64_462` `rem-3cbrt-lft_binary64_444` `rem-square-sqrt_binary64_431` `remove-double-neg_binary64_407` `pow-sqr_binary64_392` `cancel-sign-sub_binary64_384` `associate--r-_binary64_358` `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` `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-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` `+-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` `distribute-frac-neg_binary64_382` `distribute-neg-out_binary64_381` `distribute-rgt1-in_binary64_375` `distribute-lft1-in_binary64_374` `distribute-lft-out--_binary64_371` `count-2_binary64_367` `associate--l-_binary64_357`

Counts

152 → 88

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	291	3647
1	715	3478
2	2302	3438
3	5011	3438

prune99.0ms (0.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	87	11	98

Error

Counts

98 → 11

Compiler

Compiled 2099 to 548 computations (73.9% saved)

regimes1.1s (8.6%)

Accuracy

Total 0.3b remaining (95.3%)

Threshold costs 0.3b (95.3%)

Compiler

Compiled 11602 to 7178 computations (38.1% 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×	`1-exp_binary64_463` `/-rgt-identity_binary64_410` `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` `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_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	15	26
1	25	26
2	34	26
3	40	26
4	44	26
5	45	26
6	44	26

end0.0ms (0%)

sample4.4s (32.9%)

Algorithm

1×

intervals

Results

1.0s	3494×	body	1024	valid
292.0ms	1392×	body	512	valid
157.0ms	2337×	body	128	valid
127.0ms	198×	body	2048	valid
87.0ms	579×	body	256	valid

Compiler

Compiled 2893 to 1796 computations (37.9% saved)

Details

analyze1.3s (9.8%)

sample71.0ms (0.5%)

simplify9.0ms (0.1%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite66.0ms (0.5%)

series621.0ms (4.7%)

simplify97.0ms (0.7%)

prune78.0ms (0.6%)

localize15.0ms (0.1%)

rewrite123.0ms (0.9%)

series1.4s (10.2%)

simplify139.0ms (1%)

prune107.0ms (0.8%)

localize12.0ms (0.1%)

rewrite143.0ms (1.1%)

series1.5s (11.2%)

simplify108.0ms (0.8%)

prune138.0ms (1%)

localize12.0ms (0.1%)

rewrite150.0ms (1.1%)

series1.5s (11.3%)

simplify115.0ms (0.9%)

prune99.0ms (0.7%)

regimes1.1s (8.6%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample4.4s (32.9%)

Profiling