Details

analyze2.4s (8.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

924×	`times-frac_binary64_425`
401×	`associate-l_binary64_360`
388×	`associate-*l/_binary64_362`
366×	`associate-r_binary64_359`
302×	`associate-*r/_binary64_361`
196×	`distribute-rgt-out_binary64_372`
190×	`associate-/r*_binary64_363`
164×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
158×	`*-commutative_binary64_350`
152×	`associate-/l*_binary64_364`
120×	`associate-/r/_binary64_365`
78×	`*-lft-identity_binary64_408`
56×	`*-rgt-identity_binary64_409`
50×	`/-rgt-identity_binary64_410`
46×	`sqr-pow_binary64_391`
28×	`unswap-sqr_binary64_387`
24×	`distribute-lft-out_binary64_370`
20×	`associate-/l/_binary64_366`
17×	`unpow3_binary64_485`
16×	`associate-+l+_binary64_352`
14×	`cube-unmult_binary64_456`
12×	`associate-+r+_binary64_351`
11×	`pow-plus_binary64_482`
8×	`distribute-rgt1-in_binary64_375` `+-commutative_binary64_349`
4×	`unpow2_binary64_484` `unpow1/2_binary64_483` `unpow1_binary64_477` `rem-sqrt-square_binary64_432` `distribute-lft1-in_binary64_374`
3×	`cube-mult_binary64_449` `cube-div_binary64_448`
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-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` `neg-sub0_binary64_414` `unsub-neg_binary64_413` `sub-neg_binary64_412` `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` `pow-sqr_binary64_392` `difference-of-sqr--1_binary64_390` `difference-of-sqr-1_binary64_389` `difference-of-squares_binary64_388` `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-rgt-out--_binary64_373` `distribute-lft-out--_binary64_371` `count-2_binary64_367` `associate--r-_binary64_358` `associate--l-_binary64_357` `associate--l+_binary64_356` `associate--r+_binary64_355` `associate-+l-_binary64_354` `associate-+r-_binary64_353`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	152
1	167	140
2	627	140
3	3317	140
4	4968	140
5	4998	140
6	5000	140
7	4978	140
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
1.6%	98.3%	0.1%	8
2.3%	97.5%	0.1%	9
7.4%	90.9%	1.7%	10
9.2%	87.4%	3.5%	11
11.7%	83.5%	4.8%	12
15.2%	76%	8.8%	13
16.4%	72%	11.6%	14

Compiler

Compiled 26 to 22 computations (15.4% saved)

sample115.0ms (0.4%)

Algorithm

1×

intervals

Results

51.0ms	95×	body	1024	valid
15.0ms	38×	body	512	valid
14.0ms	103×	body	128	valid
6.0ms	42×	body	128	invalid
5.0ms	20×	body	256	valid
2.0ms	6×	body	512	invalid
2.0ms	3×	body	1024	invalid
0.0ms	1×	body	256	invalid

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify58.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

627×	`distribute-rgt-in_binary64_369`
623×	`distribute-lft-in_binary64_368`
431×	`associate-/r/_binary64_365`
404×	`associate-/r*_binary64_363`
371×	`distribute-rgt-out_binary64_372`
316×	`associate-/l*_binary64_364`
280×	`*-commutative_binary64_350`
225×	`associate-+l+_binary64_352`
201×	`times-frac_binary64_425`
146×	`distribute-lft-out_binary64_370`
127×	`unswap-sqr_binary64_387`
100×	`associate-l_binary64_360`
97×	`associate-*l/_binary64_362`
91×	`associate-r_binary64_359`
83×	`associate-/l/_binary64_366`
79×	`count-2_binary64_367`
75×	`associate-*r/_binary64_361`
43×	`*-lft-identity_binary64_408`
41×	`associate-+r+_binary64_351`
38×	`*-rgt-identity_binary64_409`
35×	`sqr-pow_binary64_391`
26×	`distribute-rgt1-in_binary64_375`
16×	`/-rgt-identity_binary64_410`
8×	`cube-unmult_binary64_456`
7×	`pow-plus_binary64_482`
6×	`pow-sqr_binary64_392`
5×	`unpow3_binary64_485` `distribute-lft1-in_binary64_374`
4×	`+-commutative_binary64_349`
3×	`unpow2_binary64_484`
2×	`swap-sqr_binary64_386`
1×	`unpow1/2_binary64_483` `unpow1_binary64_477` `1-exp_binary64_463` `cube-mult_binary64_449` `rem-sqrt-square_binary64_432`
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` `neg-sub0_binary64_414` `unsub-neg_binary64_413` `sub-neg_binary64_412` `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-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-rgt-out--_binary64_373` `distribute-lft-out--_binary64_371` `associate--r-_binary64_358` `associate--l-_binary64_357` `associate--l+_binary64_356` `associate--r+_binary64_355` `associate-+l-_binary64_354` `associate-+r-_binary64_353`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	38
1	54	35
2	178	35
3	866	35
4	3022	35
5	4619	35
6	4978	35
7	4931	35

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

31.1b

Counts

2 → 1

Compiler

Compiled 46 to 38 computations (17.4% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.3b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
4.3b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
13.1b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
17.6b	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite391.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

17.4b

Rules

108×	`add-exp-log_binary64_457`
58×	`prod-exp_binary64_468`
52×	`add-cbrt-cube_binary64_455`
28×	`times-frac_binary64_425`
26×	`cbrt-unprod_binary64_452` `add-sqr-sqrt_binary64_441`
24×	`div-exp_binary64_470`
20×	`pow1_binary64_480`
19×	`*-un-lft-identity_binary64_419`
18×	`associate-l_binary64_360`
17×	`add-cube-cbrt_binary64_454`
16×	`associate-*l/_binary64_362`
12×	`associate-/l*_binary64_364`
10×	`unpow-prod-down_binary64_498` `cube-prod_binary64_447` `pow-prod-down_binary64_490` `frac-times_binary64_429` `associate-r_binary64_359`
8×	`pow-to-exp_binary64_488` `pow-exp_binary64_487` `cbrt-undiv_binary64_453` `tan-quot_binary64_578`
6×	`associate-*r/_binary64_361`
5×	`unswap-sqr_binary64_387`
4×	`add-log-exp_binary64_458` `sqr-pow_binary64_391` `flip3-+_binary64_422` `flip-+_binary64_393`
3×	`unpow3_binary64_485` `cube-mult_binary64_449` `*-commutative_binary64_350`
2×	`div-inv_binary64_416`
1×	`frac-2neg_binary64_430` `clear-num_binary64_418` `associate-/r*_binary64_363` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `distribute-lft-out_binary64_370`

Counts

4 → 159

Calls

4 calls:

24.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
16.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
12.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
7.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 5186 to 2726 computations (47.4% saved)

series2.6s (9.5%)

Error

19.5b

Counts

4 → 42

Calls

4 calls:

1.4s	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
664.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
341.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
167.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 3210 to 2529 computations (21.2% saved)

simplify176.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

554×	`associate-l_binary64_360`
537×	`unswap-sqr_binary64_387`
407×	`associate-r_binary64_359`
262×	`log-prod_binary64_505`
230×	`*-commutative_binary64_350`
163×	`times-frac_binary64_425`
159×	`associate-/l*_binary64_364`
134×	`associate-*l/_binary64_362`
116×	`distribute-rgt-in_binary64_369`
115×	`distribute-lft-in_binary64_368`
102×	`associate-/r*_binary64_363`
83×	`log-div_binary64_506`
79×	`associate-*r/_binary64_361`
77×	`exp-prod_binary64_471`
68×	`sqr-pow_binary64_391`
66×	`cube-prod_binary64_447`
63×	`swap-sqr_binary64_386`
53×	`+-commutative_binary64_349`
38×	`sub-neg_binary64_412`
36×	`*-lft-identity_binary64_408`
34×	`cube-div_binary64_448`
30×	`associate-+l+_binary64_352`
24×	`*-rgt-identity_binary64_409`
22×	`log-pow_binary64_508` `associate-+r+_binary64_351`
18×	`associate-/r/_binary64_365`
17×	`neg-mul-1_binary64_415` `neg-sub0_binary64_414`
15×	`cube-unmult_binary64_456`
14×	`pow-sqr_binary64_392` `cancel-sign-sub-inv_binary64_385`
11×	`distribute-rgt-neg-in_binary64_377` `distribute-lft-neg-in_binary64_376`
10×	`associate-+l-_binary64_354`
9×	`pow-plus_binary64_482` `distribute-rgt-out_binary64_372`
8×	`unpow3_binary64_485` `rem-sqrt-square_binary64_432`
6×	`cube-mult_binary64_449`
5×	`unpow2_binary64_484` `unpow1/2_binary64_483` `unpow1_binary64_477`
4×	`exp-sum_binary64_465` `associate-+r-_binary64_353`
2×	`unsub-neg_binary64_413` `distribute-rgt-out--_binary64_373` `associate--r+_binary64_355`
1×	`log-rec_binary64_507` `exp-lft-sqr_binary64_474` `1-exp_binary64_463` `exp-1-e_binary64_462` `rem-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `rem-square-sqrt_binary64_431` `/-rgt-identity_binary64_410` `distribute-neg-frac_binary64_383` `distribute-neg-in_binary64_380` `distribute-lft-neg-out_binary64_378` `count-2_binary64_367` `associate-/l/_binary64_366` `associate--l+_binary64_356`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_682` `erf-erfc_binary64_681` `erf-odd_binary64_680` `if-if-and-not_binary64_679` `if-if-and_binary64_678` `if-if-or-not_binary64_677` `if-if-or_binary64_676` `if-not_binary64_675` `if-same_binary64_674` `if-false_binary64_673` `if-true_binary64_672` `not-gte_binary64_671` `not-lte_binary64_670` `not-gt_binary64_669` `not-lt_binary64_668` `gte-same_binary64_667` `lte-same_binary64_666` `gt-same_binary64_665` `lt-same_binary64_664` `sinh---cosh_binary64_611` `sinh-+-cosh_binary64_610` `sinh-cosh_binary64_609` `tanh-def-c_binary64_608` `tanh-def-b_binary64_607` `tanh-def-a_binary64_606` `cosh-def_binary64_605` `sinh-def_binary64_604` `tan-neg_binary64_551` `cos-neg_binary64_550` `sin-neg_binary64_549` `tan-0_binary64_548` `cos-0_binary64_547` `sin-0_binary64_546` `hang-m-tan_binary64_545` `hang-p-tan_binary64_544` `hang-m0-tan_binary64_543` `hang-p0-tan_binary64_542` `hang-0m-tan_binary64_541` `hang-0p-tan_binary64_540` `tan-+PI/2_binary64_539` `tan-+PI_binary64_538` `tan-PI_binary64_537` `tan-PI/3_binary64_536` `tan-PI/4_binary64_535` `tan-PI/6_binary64_534` `cos-+PI/2_binary64_533` `cos-+PI_binary64_532` `cos-PI_binary64_531` `cos-PI/2_binary64_530` `cos-PI/3_binary64_529` `cos-PI/4_binary64_528` `cos-PI/6_binary64_527` `sin-+PI/2_binary64_526` `sin-+PI_binary64_525` `sin-PI_binary64_524` `sin-PI/2_binary64_523` `sin-PI/3_binary64_522` `sin-PI/4_binary64_521` `sin-PI/6_binary64_520` `sub-1-sin_binary64_519` `sub-1-cos_binary64_518` `-1-add-sin_binary64_517` `-1-add-cos_binary64_516` `1-sub-sin_binary64_515` `1-sub-cos_binary64_514` `cos-sin-sum_binary64_513` `log-E_binary64_509` `pow-base-0_binary64_503` `unpow1/3_binary64_486` `exp-to-pow_binary64_481` `pow-base-1_binary64_479` `unpow0_binary64_478` `unpow-1_binary64_476` `exp-lft-cube_binary64_475` `exp-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` `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` `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-rgt-neg-out_binary64_379` `distribute-rgt1-in_binary64_375` `distribute-lft1-in_binary64_374` `distribute-lft-out--_binary64_371` `distribute-lft-out_binary64_370` `associate--r-_binary64_358` `associate--l-_binary64_357`

Counts

201 → 160

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	269	5312
1	744	4548
2	3364	4521
3	4877	4521
4	5125	4521

prune276.0ms (1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	152	8	160
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	153	8	161

Error

11.7b

Counts

161 → 8

Compiler

Compiled 4596 to 2497 computations (45.7% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.3b	(.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (.f64 t t) l))) (tan.f64 k))
3.2b	(.f64 (sin.f64 k) (/.f64 (.f64 t t) l))
7.7b	(/.f64 (*.f64 t t) l)
13.1b	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (*.f64 t t) l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite342.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

7.9b

Rules

113×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
65×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
34×	`frac-times_binary64_429`
31×	`associate-*r/_binary64_361`
29×	`pow1_binary64_480`
27×	`associate-*l/_binary64_362`
20×	`div-exp_binary64_470` `cbrt-undiv_binary64_453`
17×	`pow-prod-down_binary64_490`
16×	`tan-quot_binary64_578`
15×	`add-sqr-sqrt_binary64_441`
14×	`associate-r_binary64_359`
13×	`*-un-lft-identity_binary64_419`
11×	`add-cube-cbrt_binary64_454`
8×	`flip3-+_binary64_422` `flip-+_binary64_393`
7×	`times-frac_binary64_425`
5×	`associate-l_binary64_360`
4×	`add-log-exp_binary64_458`
3×	`-commutative_binary64_350` `associate-/r_binary64_363`
2×	`div-inv_binary64_416` `unswap-sqr_binary64_387`
1×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `distribute-lft-out_binary64_370` `frac-2neg_binary64_430` `clear-num_binary64_418` `associate-/l*_binary64_364`

Counts

4 → 151

Calls

4 calls:

28.0ms	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (*.f64 t t) l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
15.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (.f64 t t) l))) (tan.f64 k))
9.0ms	(.f64 (sin.f64 k) (/.f64 (.f64 t t) l))
5.0ms	(/.f64 (*.f64 t t) l)

Compiler

Compiled 5716 to 1898 computations (66.8% saved)

series2.5s (9.1%)

Error

11.7b

Counts

4 → 44

Calls

4 calls:

1.3s	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (*.f64 t t) l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
690.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (.f64 t t) l))) (tan.f64 k))
314.0ms	(.f64 (sin.f64 k) (/.f64 (.f64 t t) l))
91.0ms	(/.f64 (*.f64 t t) l)

Compiler

Compiled 3464 to 2623 computations (24.3% saved)

simplify188.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

665×	`associate-r_binary64_359`
485×	`distribute-rgt-in_binary64_369`
327×	`*-commutative_binary64_350`
200×	`associate-*l/_binary64_362`
180×	`distribute-lft-in_binary64_368`
167×	`unswap-sqr_binary64_387`
163×	`associate-/l*_binary64_364`
162×	`log-prod_binary64_505`
152×	`associate-*r/_binary64_361`
145×	`cube-prod_binary64_447`
120×	`exp-prod_binary64_471` `times-frac_binary64_425`
91×	`associate-l_binary64_360`
90×	`distribute-rgt-out_binary64_372`
73×	`+-commutative_binary64_349`
72×	`log-div_binary64_506`
71×	`cube-div_binary64_448`
68×	`sqr-pow_binary64_391`
66×	`associate-/r*_binary64_363`
56×	`sub-neg_binary64_412`
48×	`swap-sqr_binary64_386`
47×	`associate-+l+_binary64_352`
41×	`unpow3_binary64_485`
35×	`cube-mult_binary64_449` `associate-/r/_binary64_365`
34×	`associate-+r+_binary64_351`
33×	`cancel-sign-sub-inv_binary64_385`
30×	`*-rgt-identity_binary64_409`
27×	`distribute-neg-frac_binary64_383`
25×	`distribute-rgt-neg-in_binary64_377` `associate-/l/_binary64_366`
23×	`distribute-lft-neg-in_binary64_376`
21×	`distribute-lft-neg-out_binary64_378`
18×	`distribute-rgt-neg-out_binary64_379`
16×	`cube-unmult_binary64_456` `neg-mul-1_binary64_415` `neg-sub0_binary64_414`
12×	`pow-plus_binary64_482` `associate-+l-_binary64_354`
10×	`distribute-neg-in_binary64_380`
8×	`unpow1/2_binary64_483` `exp-sum_binary64_465`
7×	`log-pow_binary64_508` `pow-sqr_binary64_392` `associate--l+_binary64_356` `associate-+r-_binary64_353`
6×	`associate--r+_binary64_355`
5×	`unpow2_binary64_484` `unpow1_binary64_477` `unsub-neg_binary64_413`
4×	`*-lft-identity_binary64_408`
3×	`exp-lft-sqr_binary64_474` `/-rgt-identity_binary64_410` `distribute-rgt-out--_binary64_373`
2×	`rem-sqrt-square_binary64_432`
1×	`log-rec_binary64_507` `prod-exp_binary64_468` `1-exp_binary64_463` `exp-1-e_binary64_462` `div-sub_binary64_424` `count-2_binary64_367` `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` `exp-to-pow_binary64_481` `pow-base-1_binary64_479` `unpow0_binary64_478` `unpow-1_binary64_476` `exp-lft-cube_binary64_475` `exp-cbrt_binary64_473` `exp-sqrt_binary64_472` `div-exp_binary64_470` `rec-exp_binary64_469` `exp-diff_binary64_467` `exp-neg_binary64_466` `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` `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-lft-out--_binary64_371` `distribute-lft-out_binary64_370` `associate--l-_binary64_357`

Counts

195 → 162

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	316	6658
1	977	4965
2	3374	4871
3	4637	4871
4	4981	4871

prune275.0ms (1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	154	8	162
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	159	11	170

Error

8.6b

Counts

170 → 11

Compiler

Compiled 4905 to 2550 computations (48% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (/.f64 k t) 2)
0.6b	(.f64 (.f64 t (sin.f64 k)) (/.f64 t l))
1.3b	(.f64 (.f64 (/.f64 t l) (.f64 (.f64 t (sin.f64 k)) (/.f64 t l))) (tan.f64 k))
13.1b	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (*.f64 t (sin.f64 k)) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite379.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

7.4b

Rules

138×	`add-exp-log_binary64_457`
135×	`add-cbrt-cube_binary64_455`
84×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
44×	`pow1_binary64_480`
34×	`frac-times_binary64_429`
31×	`associate-*r/_binary64_361`
28×	`pow-prod-down_binary64_490`
27×	`associate-*l/_binary64_362`
23×	`*-un-lft-identity_binary64_419`
21×	`div-exp_binary64_470` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
20×	`cbrt-undiv_binary64_453` `associate-r_binary64_359`
18×	`times-frac_binary64_425`
16×	`tan-quot_binary64_578`
13×	`unpow-prod-down_binary64_498`
8×	`flip3-+_binary64_422` `flip-+_binary64_393`
4×	`add-log-exp_binary64_458`
3×	`associate-l_binary64_360` `*-commutative_binary64_350` `pow-unpow_binary64_496`
2×	`div-inv_binary64_416` `pow-exp_binary64_487`
1×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `distribute-lft-out_binary64_370` `pow-pow_binary64_491` `pow-to-exp_binary64_488` `unpow2_binary64_484` `sqr-pow_binary64_391`

Counts

4 → 174

Calls

4 calls:

29.0ms	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (*.f64 t (sin.f64 k)) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
16.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (.f64 t (sin.f64 k)) (/.f64 t l))) (tan.f64 k))
9.0ms	(.f64 (.f64 t (sin.f64 k)) (/.f64 t l))
5.0ms	(pow.f64 (/.f64 k t) 2)

Compiler

Compiled 6627 to 2157 computations (67.5% saved)

series2.5s (9.1%)

Error

8.6b

Counts

4 → 44

Calls

4 calls:

1.3s	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (*.f64 t (sin.f64 k)) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
682.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (.f64 t (sin.f64 k)) (/.f64 t l))) (tan.f64 k))
300.0ms	(.f64 (.f64 t (sin.f64 k)) (/.f64 t l))
106.0ms	(pow.f64 (/.f64 k t) 2)

Compiler

Compiled 3500 to 2609 computations (25.5% saved)

simplify243.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

477×	`distribute-rgt-in_binary64_369`
466×	`distribute-lft-in_binary64_368`
430×	`*-commutative_binary64_350`
198×	`associate-*l/_binary64_362`
164×	`associate-/l*_binary64_364`
163×	`associate-*r/_binary64_361`
135×	`sqr-pow_binary64_391`
131×	`unswap-sqr_binary64_387`
110×	`times-frac_binary64_425`
109×	`associate-l_binary64_360`
108×	`log-prod_binary64_505`
94×	`neg-mul-1_binary64_415`
93×	`neg-sub0_binary64_414`
79×	`cube-prod_binary64_447`
75×	`exp-prod_binary64_471` `sub-neg_binary64_412`
74×	`+-commutative_binary64_349`
67×	`associate-/r*_binary64_363`
64×	`unsub-neg_binary64_413`
57×	`associate-r_binary64_359`
53×	`associate-+l+_binary64_352`
51×	`log-div_binary64_506` `unpow3_binary64_485` `swap-sqr_binary64_386`
49×	`pow-sqr_binary64_392`
44×	`cube-div_binary64_448`
35×	`associate-+r+_binary64_351`
33×	`rem-sqrt-square_binary64_432`
32×	`log-pow_binary64_508`
31×	`associate-/r/_binary64_365`
29×	`associate-/l/_binary64_366`
27×	`unpow1/2_binary64_483`
24×	`unpow2_binary64_484` `unpow1_binary64_477` `distribute-neg-frac_binary64_383`
23×	`cube-mult_binary64_449`
22×	`cancel-sign-sub-inv_binary64_385`
21×	`distribute-lft-neg-out_binary64_378`
20×	`*-rgt-identity_binary64_409`
19×	`distribute-rgt-neg-out_binary64_379`
17×	`cube-unmult_binary64_456`
16×	`distribute-rgt-out_binary64_372`
13×	`distribute-rgt-neg-in_binary64_377`
12×	`distribute-neg-in_binary64_380` `distribute-lft-neg-in_binary64_376` `associate-+l-_binary64_354`
9×	`/-rgt-identity_binary64_410`
7×	`pow-plus_binary64_482` `*-lft-identity_binary64_408` `associate--r+_binary64_355` `associate-+r-_binary64_353`
6×	`exp-sum_binary64_465` `associate--l+_binary64_356`
3×	`exp-lft-sqr_binary64_474` `remove-double-neg_binary64_407`
2×	`rem-square-sqrt_binary64_431` `distribute-rgt-out--_binary64_373`
1×	`log-rec_binary64_507` `prod-exp_binary64_468` `1-exp_binary64_463` `exp-1-e_binary64_462` `rem-3cbrt-rft_binary64_445` `rem-3cbrt-lft_binary64_444` `div-sub_binary64_424` `distribute-lft-out_binary64_370` `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` `exp-to-pow_binary64_481` `pow-base-1_binary64_479` `unpow0_binary64_478` `unpow-1_binary64_476` `exp-lft-cube_binary64_475` `exp-cbrt_binary64_473` `exp-sqrt_binary64_472` `div-exp_binary64_470` `rec-exp_binary64_469` `exp-diff_binary64_467` `exp-neg_binary64_466` `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` `mul-1-neg_binary64_411` `sub0-neg_binary64_406` `--rgt-identity_binary64_405` `+-rgt-identity_binary64_404` `+-lft-identity_binary64_403` `mul0-rgt_binary64_402` `mul0-lft_binary64_401` `div0_binary64_400` `*-inverses_binary64_399` `+-inverses_binary64_398` `lft-mult-inverse_binary64_397` `rgt-mult-inverse_binary64_396` `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-lft-out--_binary64_371` `count-2_binary64_367` `associate--l-_binary64_357`

Counts

218 → 190

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	382	7435
1	1108	5800
2	2987	5771
3	4406	5771
4	4957	5771
5	4961	5771

prune286.0ms (1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	185	5	190
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	190	11	201

Error

7.4b

Counts

201 → 11

Compiler

Compiled 5954 to 2341 computations (60.7% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 (/.f64 t l) (.f64 t (sin.f64 k)))
1.1b	(.f64 (/.f64 t l) (.f64 (.f64 (/.f64 t l) (.f64 t (sin.f64 k))) (tan.f64 k)))
3.2b	(.f64 (.f64 (/.f64 t l) (*.f64 t (sin.f64 k))) (tan.f64 k))
13.1b	(.f64 (.f64 (/.f64 t l) (.f64 (.f64 (/.f64 t l) (*.f64 t (sin.f64 k))) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite381.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

7.4b

Rules

160×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
98×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
52×	`pow1_binary64_480`
39×	`associate-*l/_binary64_362`
35×	`frac-times_binary64_429`
34×	`pow-prod-down_binary64_490`
28×	`associate-l_binary64_360`
24×	`div-exp_binary64_470` `cbrt-undiv_binary64_453`
23×	`associate-*r/_binary64_361`
22×	`*-un-lft-identity_binary64_419`
20×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
18×	`tan-quot_binary64_578` `times-frac_binary64_425`
9×	`associate-r_binary64_359`
8×	`flip3-+_binary64_422` `flip-+_binary64_393`
4×	`add-log-exp_binary64_458` `*-commutative_binary64_350`
2×	`div-inv_binary64_416`
1×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `distribute-lft-out_binary64_370`

Counts

4 → 187

Calls

4 calls:

33.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (.f64 (/.f64 t l) (*.f64 t (sin.f64 k))) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
17.0ms	(.f64 (/.f64 t l) (.f64 (.f64 (/.f64 t l) (.f64 t (sin.f64 k))) (tan.f64 k)))
11.0ms	(.f64 (.f64 (/.f64 t l) (*.f64 t (sin.f64 k))) (tan.f64 k))
9.0ms	(.f64 (/.f64 t l) (.f64 t (sin.f64 k)))

Compiler

Compiled 7173 to 2229 computations (68.9% saved)

series2.9s (10.5%)

Error

7.4b

Counts

4 → 49

Calls

4 calls:

1.3s	(.f64 (.f64 (/.f64 t l) (.f64 (.f64 (/.f64 t l) (*.f64 t (sin.f64 k))) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
649.0ms	(.f64 (/.f64 t l) (.f64 (.f64 (/.f64 t l) (.f64 t (sin.f64 k))) (tan.f64 k)))
618.0ms	(.f64 (.f64 (/.f64 t l) (*.f64 t (sin.f64 k))) (tan.f64 k))
262.0ms	(.f64 (/.f64 t l) (.f64 t (sin.f64 k)))

Compiler

Compiled 3931 to 2969 computations (24.5% saved)

simplify258.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

629×	`distribute-rgt-in_binary64_369`
615×	`distribute-lft-in_binary64_368`
531×	`*-commutative_binary64_350`
283×	`associate-*l/_binary64_362`
191×	`associate-/l*_binary64_364`
165×	`associate-*r/_binary64_361`
129×	`times-frac_binary64_425`
113×	`log-prod_binary64_505`
112×	`unswap-sqr_binary64_387`
99×	`neg-mul-1_binary64_415`
86×	`associate-l_binary64_360`
85×	`cube-prod_binary64_447` `associate-r_binary64_359`
73×	`exp-prod_binary64_471`
72×	`+-commutative_binary64_349`
67×	`sqr-pow_binary64_391`
66×	`associate-/r*_binary64_363`
61×	`unpow3_binary64_485`
55×	`sub-neg_binary64_412`
54×	`log-div_binary64_506` `cube-div_binary64_448`
52×	`associate-+l+_binary64_352`
44×	`swap-sqr_binary64_386` `associate-+r+_binary64_351`
26×	`cube-mult_binary64_449`
24×	`distribute-neg-frac_binary64_383`
22×	`cancel-sign-sub-inv_binary64_385` `distribute-lft-neg-out_binary64_378`
20×	`distribute-rgt-neg-out_binary64_379`
19×	`distribute-rgt-out_binary64_372`
17×	`associate-/r/_binary64_365`
15×	`cube-unmult_binary64_456` `neg-sub0_binary64_414` `distribute-neg-in_binary64_380` `associate-+l-_binary64_354`
14×	`exp-sum_binary64_465`
13×	`distribute-rgt-neg-in_binary64_377`
12×	`log-pow_binary64_508` `distribute-lft-neg-in_binary64_376`
9×	`associate--r+_binary64_355`
8×	`pow-sqr_binary64_392`
7×	`unpow1/2_binary64_483` `pow-plus_binary64_482` `*-rgt-identity_binary64_409`
6×	`*-lft-identity_binary64_408` `associate--l+_binary64_356` `associate-+r-_binary64_353`
5×	`unpow2_binary64_484` `unpow1_binary64_477` `rem-sqrt-square_binary64_432` `unsub-neg_binary64_413`
3×	`exp-lft-sqr_binary64_474`
2×	`distribute-rgt-out--_binary64_373`
1×	`log-rec_binary64_507` `prod-exp_binary64_468` `1-exp_binary64_463` `exp-1-e_binary64_462` `div-sub_binary64_424`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_682` `erf-erfc_binary64_681` `erf-odd_binary64_680` `if-if-and-not_binary64_679` `if-if-and_binary64_678` `if-if-or-not_binary64_677` `if-if-or_binary64_676` `if-not_binary64_675` `if-same_binary64_674` `if-false_binary64_673` `if-true_binary64_672` `not-gte_binary64_671` `not-lte_binary64_670` `not-gt_binary64_669` `not-lt_binary64_668` `gte-same_binary64_667` `lte-same_binary64_666` `gt-same_binary64_665` `lt-same_binary64_664` `sinh---cosh_binary64_611` `sinh-+-cosh_binary64_610` `sinh-cosh_binary64_609` `tanh-def-c_binary64_608` `tanh-def-b_binary64_607` `tanh-def-a_binary64_606` `cosh-def_binary64_605` `sinh-def_binary64_604` `tan-neg_binary64_551` `cos-neg_binary64_550` `sin-neg_binary64_549` `tan-0_binary64_548` `cos-0_binary64_547` `sin-0_binary64_546` `hang-m-tan_binary64_545` `hang-p-tan_binary64_544` `hang-m0-tan_binary64_543` `hang-p0-tan_binary64_542` `hang-0m-tan_binary64_541` `hang-0p-tan_binary64_540` `tan-+PI/2_binary64_539` `tan-+PI_binary64_538` `tan-PI_binary64_537` `tan-PI/3_binary64_536` `tan-PI/4_binary64_535` `tan-PI/6_binary64_534` `cos-+PI/2_binary64_533` `cos-+PI_binary64_532` `cos-PI_binary64_531` `cos-PI/2_binary64_530` `cos-PI/3_binary64_529` `cos-PI/4_binary64_528` `cos-PI/6_binary64_527` `sin-+PI/2_binary64_526` `sin-+PI_binary64_525` `sin-PI_binary64_524` `sin-PI/2_binary64_523` `sin-PI/3_binary64_522` `sin-PI/4_binary64_521` `sin-PI/6_binary64_520` `sub-1-sin_binary64_519` `sub-1-cos_binary64_518` `-1-add-sin_binary64_517` `-1-add-cos_binary64_516` `1-sub-sin_binary64_515` `1-sub-cos_binary64_514` `cos-sin-sum_binary64_513` `log-E_binary64_509` `pow-base-0_binary64_503` `unpow1/3_binary64_486` `exp-to-pow_binary64_481` `pow-base-1_binary64_479` `unpow0_binary64_478` `unpow-1_binary64_476` `exp-lft-cube_binary64_475` `exp-cbrt_binary64_473` `exp-sqrt_binary64_472` `div-exp_binary64_470` `rec-exp_binary64_469` `exp-diff_binary64_467` `exp-neg_binary64_466` `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_410` `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-lft-out--_binary64_371` `distribute-lft-out_binary64_370` `count-2_binary64_367` `associate-/l/_binary64_366` `associate--r-_binary64_358` `associate--l-_binary64_357`

Counts

236 → 223

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	342	8450
1	1140	6239
2	3146	6215
3	4641	6209
4	4972	6209
5	4981	6209

prune331.0ms (1.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	219	4	223
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	221	13	234

Error

7.4b

Counts

234 → 13

Compiler

Compiled 6492 to 2957 computations (54.5% saved)

regimes2.9s (10.6%)

Accuracy

Total 3.7b remaining (31.9%)

Threshold costs 0b (0%)

Compiler

Compiled 29668 to 22242 computations (25% saved)

bsearch119.0ms (0.4%)

Steps

Iters	Range		Point
5	6.086846597290025e-24	2.143926935251099e-23	6.178884341684742e-24
5	-3.4252370864761763e-103	-1.0778032769835162e-103	-1.402881681110127e-103

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative_binary64_350`
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` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	122
1	54	122
2	54	122

end0.0ms (0%)

sample7.6s (28%)

Algorithm

1×

intervals

Results

1.5s	2710×	body	1024	valid
483.0ms	1204×	body	512	valid
477.0ms	3500×	body	128	valid
192.0ms	1419×	body	128	invalid
186.0ms	60×	body	1024	invalid
158.0ms	579×	body	256	valid
62.0ms	150×	body	512	invalid
34.0ms	124×	body	256	invalid
6.0ms	7×	body	2048	valid

Compiler

Compiled 4828 to 3608 computations (25.3% saved)

Details

analyze2.4s (8.9%)

sample115.0ms (0.4%)

simplify58.0ms (0.2%)

prune5.0ms (0%)

localize19.0ms (0.1%)

rewrite391.0ms (1.4%)

series2.6s (9.5%)

simplify176.0ms (0.6%)

prune276.0ms (1%)

localize22.0ms (0.1%)

rewrite342.0ms (1.3%)

series2.5s (9.1%)

simplify188.0ms (0.7%)

prune275.0ms (1%)

localize21.0ms (0.1%)

rewrite379.0ms (1.4%)

series2.5s (9.1%)

simplify243.0ms (0.9%)

prune286.0ms (1%)

localize19.0ms (0.1%)

rewrite381.0ms (1.4%)

series2.9s (10.5%)

simplify258.0ms (0.9%)

prune331.0ms (1.2%)

regimes2.9s (10.6%)

bsearch119.0ms (0.4%)

simplify4.0ms (0%)

end0.0ms (0%)

sample7.6s (28%)

Profiling