Details

analyze1.8s (11.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

912×	`unswap-sqr_binary64_387`
752×	`sqr-pow_binary64_391`
360×	`cube-prod_binary64_447`
336×	`unpow3_binary64_485`
320×	`cube-mult_binary64_449`
257×	`*-commutative_binary64_350`
208×	`pow-sqr_binary64_392`
200×	`associate-l_binary64_360`
192×	`pow-plus_binary64_482`
168×	`associate-r_binary64_359`
120×	`rem-sqrt-square_binary64_432`
40×	`unpow2_binary64_484` `unpow1/2_binary64_483` `unpow1_binary64_477` `cube-unmult_binary64_456`
16×	`swap-sqr_binary64_386`
6×	`associate-/l*_binary64_364`
4×	`+-commutative_binary64_349`
3×	`associate-/r/_binary64_365` `associate-l/_binary64_362` `associate-r/_binary64_361`
1×	`1-exp_binary64_463`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_682` `erf-erfc_binary64_681` `erf-odd_binary64_680` `if-if-and-not_binary64_679` `if-if-and_binary64_678` `if-if-or-not_binary64_677` `if-if-or_binary64_676` `if-not_binary64_675` `if-same_binary64_674` `if-false_binary64_673` `if-true_binary64_672` `not-gte_binary64_671` `not-lte_binary64_670` `not-gt_binary64_669` `not-lt_binary64_668` `gte-same_binary64_667` `lte-same_binary64_666` `gt-same_binary64_665` `lt-same_binary64_664` `sinh---cosh_binary64_611` `sinh-+-cosh_binary64_610` `sinh-cosh_binary64_609` `tanh-def-c_binary64_608` `tanh-def-b_binary64_607` `tanh-def-a_binary64_606` `cosh-def_binary64_605` `sinh-def_binary64_604` `tan-neg_binary64_551` `cos-neg_binary64_550` `sin-neg_binary64_549` `tan-0_binary64_548` `cos-0_binary64_547` `sin-0_binary64_546` `hang-m-tan_binary64_545` `hang-p-tan_binary64_544` `hang-m0-tan_binary64_543` `hang-p0-tan_binary64_542` `hang-0m-tan_binary64_541` `hang-0p-tan_binary64_540` `tan-+PI/2_binary64_539` `tan-+PI_binary64_538` `tan-PI_binary64_537` `tan-PI/3_binary64_536` `tan-PI/4_binary64_535` `tan-PI/6_binary64_534` `cos-+PI/2_binary64_533` `cos-+PI_binary64_532` `cos-PI_binary64_531` `cos-PI/2_binary64_530` `cos-PI/3_binary64_529` `cos-PI/4_binary64_528` `cos-PI/6_binary64_527` `sin-+PI/2_binary64_526` `sin-+PI_binary64_525` `sin-PI_binary64_524` `sin-PI/2_binary64_523` `sin-PI/3_binary64_522` `sin-PI/4_binary64_521` `sin-PI/6_binary64_520` `sub-1-sin_binary64_519` `sub-1-cos_binary64_518` `-1-add-sin_binary64_517` `-1-add-cos_binary64_516` `1-sub-sin_binary64_515` `1-sub-cos_binary64_514` `cos-sin-sum_binary64_513` `log-E_binary64_509` `log-pow_binary64_508` `log-rec_binary64_507` `log-div_binary64_506` `log-prod_binary64_505` `pow-base-0_binary64_503` `unpow1/3_binary64_486` `exp-to-pow_binary64_481` `pow-base-1_binary64_479` `unpow0_binary64_478` `unpow-1_binary64_476` `exp-lft-cube_binary64_475` `exp-lft-sqr_binary64_474` `exp-cbrt_binary64_473` `exp-sqrt_binary64_472` `exp-prod_binary64_471` `div-exp_binary64_470` `rec-exp_binary64_469` `prod-exp_binary64_468` `exp-diff_binary64_467` `exp-neg_binary64_466` `exp-sum_binary64_465` `e-exp-1_binary64_464` `exp-1-e_binary64_462` `exp-0_binary64_461` `rem-log-exp_binary64_460` `rem-exp-log_binary64_459` `cube-div_binary64_448` `cube-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` `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` `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-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--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	39	136
1	86	136
2	197	136
3	361	136
4	698	136
5	868	136
6	1296	136
7	2649	136
8	2812	136
9	3009	136
10	3411	136
11	4084	136
12	4396	136
13	4716	136
14	4940	136
15	4958	136
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
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
25%	62.4%	12.6%	8
31.2%	56.2%	12.6%	9
34.3%	53%	12.6%	10
42.9%	44.5%	12.6%	11
46.8%	40.6%	12.6%	12
47.8%	39.6%	12.6%	13
52.6%	34.8%	12.6%	14

Compiler

Compiled 22 to 20 computations (9.1% saved)

sample155.0ms (1%)

Algorithm

1×

intervals

Results

39.0ms	46×	body	1024	valid
31.0ms	36×	body	1024	invalid
20.0ms	171×	body	128	valid
12.0ms	21×	body	512	invalid
10.0ms	19×	body	512	valid
9.0ms	7×	body	2048	valid
7.0ms	13×	body	256	valid
5.0ms	15×	body	256	invalid
2.0ms	18×	body	128	invalid

Compiler

Compiled 43 to 42 computations (2.3% saved)

simplify140.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1308×	`sqr-pow_binary64_391`
632×	`pow-sqr_binary64_392`
484×	`unswap-sqr_binary64_387`
332×	`cube-prod_binary64_447`
271×	`*-commutative_binary64_350`
238×	`unpow3_binary64_485` `cube-mult_binary64_449`
186×	`associate-l_binary64_360`
120×	`associate-r_binary64_359`
84×	`pow-plus_binary64_482`
42×	`rem-sqrt-square_binary64_432`
14×	`unpow2_binary64_484` `unpow1/2_binary64_483` `unpow1_binary64_477`
10×	`cube-unmult_binary64_456`
4×	`swap-sqr_binary64_386`
2×	`associate-/l*_binary64_364`
1×	`1-exp_binary64_463` `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` `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-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` `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` `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-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--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 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	30	34
2	64	34
3	110	34
4	199	34
5	435	34
6	615	34
7	1068	34
8	1083	34
9	1255	34
10	1456	34
11	1778	34
12	2198	34
13	2712	34
14	3360	34
15	3572	34
16	3702	34
17	3734	34
18	3738	34
19	3738	34
20	4557	34
21	5252	34

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

18.0b

Counts

1 → 1

Compiler

Compiled 21 to 19 computations (9.5% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 PI.f64 (/.f64 angle 180))
0.3b	(*.f64 PI.f64 (/.f64 angle 180))
21.8b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.0b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite185.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

17.0b

Rules

30×	`add-sqr-sqrt_binary64_441`
26×	`associate-r_binary64_359`
20×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419` `times-frac_binary64_425`
14×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
8×	`pow1_binary64_480`
6×	`associate-l_binary64_360`
4×	`add-log-exp_binary64_458` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387`
2×	`pow-prod-down_binary64_490` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `associate-r/_binary64_361` `div-inv_binary64_416` `-commutative_binary64_350`

Counts

4 → 78

Calls

4 calls:

8.0ms	(*.f64 PI.f64 (/.f64 angle 180))
8.0ms	(*.f64 PI.f64 (/.f64 angle 180))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2162 to 1535 computations (29% saved)

series155.0ms (1%)

Error

17.4b

Counts

4 → 13

Calls

4 calls:

44.0ms	(*.f64 PI.f64 (/.f64 angle 180))
39.0ms	(*.f64 PI.f64 (/.f64 angle 180))
31.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
23.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 820 to 686 computations (16.3% saved)

simplify120.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

516×	`unswap-sqr_binary64_387`
382×	`*-commutative_binary64_350`
366×	`associate-/l/_binary64_366`
305×	`associate-l_binary64_360`
297×	`associate-/r*_binary64_363`
269×	`associate-/r/_binary64_365`
251×	`associate-r_binary64_359`
186×	`distribute-rgt-neg-in_binary64_377`
167×	`distribute-lft-neg-in_binary64_376`
156×	`associate-*r/_binary64_361`
149×	`associate-*l/_binary64_362`
141×	`log-prod_binary64_505` `associate-/l*_binary64_364`
94×	`log-div_binary64_506`
89×	`cancel-sign-sub-inv_binary64_385`
82×	`sqr-pow_binary64_391`
73×	`distribute-rgt-in_binary64_369`
68×	`cube-prod_binary64_447`
65×	`*-lft-identity_binary64_408`
58×	`sub-neg_binary64_412`
55×	`distribute-lft-in_binary64_368`
54×	`cube-div_binary64_448` `times-frac_binary64_425`
47×	`unpow3_binary64_485` `*-rgt-identity_binary64_409`
45×	`neg-mul-1_binary64_415`
43×	`neg-sub0_binary64_414`
40×	`exp-prod_binary64_471`
37×	`associate-+l+_binary64_352`
29×	`associate--r-_binary64_358`
28×	`swap-sqr_binary64_386` `distribute-neg-in_binary64_380`
26×	`associate-+r+_binary64_351`
20×	`/-rgt-identity_binary64_410`
16×	`unsub-neg_binary64_413` `pow-sqr_binary64_392`
14×	`associate--l+_binary64_356`
13×	`cube-mult_binary64_449` `associate-+l-_binary64_354` `+-commutative_binary64_349`
12×	`log-rec_binary64_507`
11×	`distribute-neg-frac_binary64_383`
10×	`log-pow_binary64_508` `associate--r+_binary64_355`
8×	`pow-plus_binary64_482` `cube-unmult_binary64_456`
7×	`distribute-lft-out_binary64_370`
6×	`associate-+r-_binary64_353`
5×	`rem-sqrt-square_binary64_432` `+-rgt-identity_binary64_404` `count-2_binary64_367`
4×	`unpow1/2_binary64_483` `remove-double-div_binary64_395`
3×	`sub0-neg_binary64_406` `distribute-rgt-neg-out_binary64_379` `distribute-rgt-out_binary64_372`
2×	`unpow2_binary64_484` `unpow1_binary64_477` `distribute-lft-neg-out_binary64_378` `distribute-rgt1-in_binary64_375`
1×	`1-exp_binary64_463` `exp-1-e_binary64_462` `remove-double-neg_binary64_407` `distribute-lft1-in_binary64_374` `associate--l-_binary64_357`
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` `div-sub_binary64_424` `mul-1-neg_binary64_411` `--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` `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-out--_binary64_373` `distribute-lft-out--_binary64_371`

Counts

91 → 53

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	98	1172
1	202	1034
2	596	1034
3	1631	1034
4	3169	1034
5	4840	1034
6	4996	1034
7	4935	1034

prune140.0ms (0.9%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	32	21	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	21	54

Error

17.1b

Counts

54 → 21

Compiler

Compiled 1921 to 1410 computations (26.6% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 1/180 (.f64 angle PI.f64))
0.3b	(*.f64 PI.f64 (/.f64 angle 180))
21.7b	(cos.f64 (pow.f64 (.f64 1/180 (.f64 angle PI.f64)) 1))
22.0b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite337.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

17.1b

Rules

18×	`add-sqr-sqrt_binary64_441`
14×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `associate-r_binary64_359`
13×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
11×	`pow1_binary64_480`
10×	`times-frac_binary64_425`
6×	`associate-l_binary64_360`
5×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
4×	`add-log-exp_binary64_458` `pow-prod-down_binary64_490`
2×	`unswap-sqr_binary64_387` `*-commutative_binary64_350`
1×	`div-exp_binary64_470` `cbrt-undiv_binary64_453` `associate-*r/_binary64_361` `div-inv_binary64_416`

Counts

4 → 64

Calls

4 calls:

8.0ms	(*.f64 PI.f64 (/.f64 angle 180))
6.0ms	(.f64 1/180 (.f64 angle PI.f64))
3.0ms	(cos.f64 (pow.f64 (.f64 1/180 (.f64 angle PI.f64)) 1))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 1887 to 1326 computations (29.7% saved)

series158.0ms (1%)

Error

16.9b

Counts

4 → 13

Calls

4 calls:

45.0ms	(.f64 1/180 (.f64 angle PI.f64))
41.0ms	(*.f64 PI.f64 (/.f64 angle 180))
28.0ms	(cos.f64 (pow.f64 (.f64 1/180 (.f64 angle PI.f64)) 1))
23.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 886 to 734 computations (17.2% saved)

simplify76.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

673×	`unswap-sqr_binary64_387`
587×	`times-frac_binary64_425`
372×	`associate-/l/_binary64_366`
364×	`*-commutative_binary64_350`
313×	`associate-/r*_binary64_363`
289×	`associate-/r/_binary64_365`
174×	`associate-/l*_binary64_364`
146×	`associate-*r/_binary64_361`
142×	`sqr-pow_binary64_391`
141×	`associate-*l/_binary64_362`
135×	`associate-r_binary64_359`
134×	`associate-l_binary64_360`
75×	`distribute-rgt-neg-in_binary64_377`
68×	`associate-+l+_binary64_352`
66×	`sub-neg_binary64_412`
64×	`distribute-lft-neg-in_binary64_376`
59×	`exp-prod_binary64_471`
56×	`log-prod_binary64_505`
55×	`*-lft-identity_binary64_408`
49×	`associate-+r+_binary64_351`
46×	`log-div_binary64_506` `*-rgt-identity_binary64_409`
45×	`cube-prod_binary64_447`
43×	`cube-div_binary64_448`
36×	`pow-sqr_binary64_392`
35×	`cancel-sign-sub-inv_binary64_385`
33×	`neg-mul-1_binary64_415`
32×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
31×	`neg-sub0_binary64_414`
24×	`/-rgt-identity_binary64_410` `swap-sqr_binary64_386`
19×	`+-commutative_binary64_349`
18×	`unsub-neg_binary64_413`
15×	`unpow3_binary64_485`
14×	`cube-unmult_binary64_456` `associate--l+_binary64_356` `associate-+l-_binary64_354`
10×	`log-pow_binary64_508` `pow-plus_binary64_482` `cube-mult_binary64_449` `associate--r+_binary64_355`
7×	`remove-double-div_binary64_395` `associate-+r-_binary64_353`
6×	`unpow1/2_binary64_483` `rem-sqrt-square_binary64_432` `distribute-neg-in_binary64_380`
5×	`+-rgt-identity_binary64_404` `count-2_binary64_367`
3×	`unpow1_binary64_477` `sub0-neg_binary64_406`
2×	`log-rec_binary64_507` `unpow2_binary64_484` `associate--r-_binary64_358`
1×	`1-exp_binary64_463` `exp-1-e_binary64_462` `remove-double-neg_binary64_407` `distribute-rgt-out_binary64_372` `distribute-lft-out_binary64_370` `associate--l-_binary64_357`
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` `div-sub_binary64_424` `mul-1-neg_binary64_411` `--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` `difference-of-sqr--1_binary64_390` `difference-of-sqr-1_binary64_389` `difference-of-squares_binary64_388` `cancel-sign-sub_binary64_384` `distribute-neg-frac_binary64_383` `distribute-frac-neg_binary64_382` `distribute-neg-out_binary64_381` `distribute-rgt-neg-out_binary64_379` `distribute-lft-neg-out_binary64_378` `distribute-rgt1-in_binary64_375` `distribute-lft1-in_binary64_374` `distribute-rgt-out--_binary64_373` `distribute-lft-out--_binary64_371`

Counts

77 → 45

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	124	984
1	267	846
2	867	846
3	1817	846
4	3785	846
5	4977	846

prune117.0ms (0.7%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	20	20
Picked	1	0	1
Done	0	0	0
Total	44	22	66

Error

17.1b

Counts

66 → 22

Compiler

Compiled 1833 to 1369 computations (25.3% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 3)
0.3b	(*.f64 PI.f64 (/.f64 angle 180))
21.7b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
22.0b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite164.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

17.1b

Rules

20×	`add-sqr-sqrt_binary64_441`
15×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
13×	`associate-r_binary64_359`
10×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `times-frac_binary64_425`
7×	`pow1_binary64_480`
4×	`add-log-exp_binary64_458`
3×	`associate-l_binary64_360` `unpow-prod-down_binary64_498` `pow-unpow_binary64_496` `cube-prod_binary64_447`
2×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387`
1×	`pow-prod-down_binary64_490` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `associate-r/_binary64_361` `div-inv_binary64_416` `-commutative_binary64_350` `pow-pow_binary64_491` `pow-to-exp_binary64_488` `pow-exp_binary64_487` `unpow3_binary64_485` `cube-mult_binary64_449` `rem-cube-cbrt_binary64_442` `sqr-pow_binary64_391`

Counts

4 → 69

Calls

4 calls:

8.0ms	(*.f64 PI.f64 (/.f64 angle 180))
4.0ms	(pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 3)
3.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2162 to 1540 computations (28.8% saved)

series162.0ms (1%)

Error

16.9b

Counts

4 → 12

Calls

4 calls:

54.0ms	(pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 3)
44.0ms	(*.f64 PI.f64 (/.f64 angle 180))
24.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
21.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 855 to 718 computations (16% saved)

simplify109.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

591×	`associate-/l*_binary64_364`
561×	`associate-r_binary64_359`
537×	`times-frac_binary64_425`
375×	`log-prod_binary64_505`
324×	`exp-prod_binary64_471`
285×	`associate-/l/_binary64_366`
280×	`cube-prod_binary64_447`
231×	`unswap-sqr_binary64_387`
165×	`associate-/r/_binary64_365`
163×	`associate-*r/_binary64_361`
151×	`associate-*l/_binary64_362`
132×	`sqr-pow_binary64_391`
120×	`*-commutative_binary64_350`
106×	`unpow3_binary64_485`
103×	`swap-sqr_binary64_386`
92×	`cube-mult_binary64_449` `associate-l_binary64_360`
72×	`log-pow_binary64_508`
52×	`pow-plus_binary64_482`
42×	`pow-sqr_binary64_392`
40×	`*-lft-identity_binary64_408`
30×	`*-rgt-identity_binary64_409`
29×	`associate-/r*_binary64_363`
25×	`distribute-rgt-in_binary64_369`
22×	`distribute-lft-in_binary64_368`
21×	`log-div_binary64_506` `cube-unmult_binary64_456`
16×	`/-rgt-identity_binary64_410`
15×	`cube-div_binary64_448`
14×	`sub-neg_binary64_412`
12×	`distribute-rgt-out_binary64_372` `count-2_binary64_367`
11×	`rem-sqrt-square_binary64_432`
10×	`associate-+l+_binary64_352` `associate-+r+_binary64_351`
6×	`log-rec_binary64_507` `+-commutative_binary64_349`
5×	`distribute-neg-in_binary64_380` `distribute-lft-out_binary64_370`
3×	`unpow2_binary64_484` `unpow1/2_binary64_483` `neg-mul-1_binary64_415` `neg-sub0_binary64_414` `associate-+l-_binary64_354` `associate-+r-_binary64_353`
2×	`+-rgt-identity_binary64_404` `remove-double-div_binary64_395` `associate--r+_binary64_355`
1×	`unpow1_binary64_477` `1-exp_binary64_463` `exp-1-e_binary64_462` `rem-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `rem-square-sqrt_binary64_431` `unsub-neg_binary64_413` `sub0-neg_binary64_406` `associate--l+_binary64_356`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_682` `erf-erfc_binary64_681` `erf-odd_binary64_680` `if-if-and-not_binary64_679` `if-if-and_binary64_678` `if-if-or-not_binary64_677` `if-if-or_binary64_676` `if-not_binary64_675` `if-same_binary64_674` `if-false_binary64_673` `if-true_binary64_672` `not-gte_binary64_671` `not-lte_binary64_670` `not-gt_binary64_669` `not-lt_binary64_668` `gte-same_binary64_667` `lte-same_binary64_666` `gt-same_binary64_665` `lt-same_binary64_664` `sinh---cosh_binary64_611` `sinh-+-cosh_binary64_610` `sinh-cosh_binary64_609` `tanh-def-c_binary64_608` `tanh-def-b_binary64_607` `tanh-def-a_binary64_606` `cosh-def_binary64_605` `sinh-def_binary64_604` `tan-neg_binary64_551` `cos-neg_binary64_550` `sin-neg_binary64_549` `tan-0_binary64_548` `cos-0_binary64_547` `sin-0_binary64_546` `hang-m-tan_binary64_545` `hang-p-tan_binary64_544` `hang-m0-tan_binary64_543` `hang-p0-tan_binary64_542` `hang-0m-tan_binary64_541` `hang-0p-tan_binary64_540` `tan-+PI/2_binary64_539` `tan-+PI_binary64_538` `tan-PI_binary64_537` `tan-PI/3_binary64_536` `tan-PI/4_binary64_535` `tan-PI/6_binary64_534` `cos-+PI/2_binary64_533` `cos-+PI_binary64_532` `cos-PI_binary64_531` `cos-PI/2_binary64_530` `cos-PI/3_binary64_529` `cos-PI/4_binary64_528` `cos-PI/6_binary64_527` `sin-+PI/2_binary64_526` `sin-+PI_binary64_525` `sin-PI_binary64_524` `sin-PI/2_binary64_523` `sin-PI/3_binary64_522` `sin-PI/4_binary64_521` `sin-PI/6_binary64_520` `sub-1-sin_binary64_519` `sub-1-cos_binary64_518` `-1-add-sin_binary64_517` `-1-add-cos_binary64_516` `1-sub-sin_binary64_515` `1-sub-cos_binary64_514` `cos-sin-sum_binary64_513` `log-E_binary64_509` `pow-base-0_binary64_503` `unpow1/3_binary64_486` `exp-to-pow_binary64_481` `pow-base-1_binary64_479` `unpow0_binary64_478` `unpow-1_binary64_476` `exp-lft-cube_binary64_475` `exp-lft-sqr_binary64_474` `exp-cbrt_binary64_473` `exp-sqrt_binary64_472` `div-exp_binary64_470` `rec-exp_binary64_469` `prod-exp_binary64_468` `exp-diff_binary64_467` `exp-neg_binary64_466` `exp-sum_binary64_465` `e-exp-1_binary64_464` `exp-0_binary64_461` `rem-log-exp_binary64_460` `rem-exp-log_binary64_459` `cube-neg_binary64_446` `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` `--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` `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-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-lft-out--_binary64_371` `associate--r-_binary64_358` `associate--l-_binary64_357`

Counts

81 → 44

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	115	1153
1	237	1024
2	748	1012
3	2267	1012
4	4463	998
5	4946	998
6	4920	998

prune117.0ms (0.7%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	0	21	21
Picked	1	0	1
Done	0	0	0
Total	43	23	66

Error

17.1b

Counts

66 → 23

Compiler

Compiled 1902 to 1424 computations (25.1% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 3)) 3)
0.3b	(*.f64 PI.f64 (/.f64 angle 180))
21.7b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
22.0b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite257.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

17.1b

Rules

26×	`add-sqr-sqrt_binary64_441`
24×	`cbrt-prod_binary64_450`
21×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419` `unpow-prod-down_binary64_498` `cube-prod_binary64_447`
13×	`associate-r_binary64_359`
10×	`add-exp-log_binary64_457` `times-frac_binary64_425`
9×	`add-cbrt-cube_binary64_455`
7×	`pow1_binary64_480`
4×	`add-log-exp_binary64_458`
3×	`associate-l_binary64_360` `unpow3_binary64_485` `cube-mult_binary64_449` `sqr-pow_binary64_391` `pow-unpow_binary64_496`
2×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `pow-pow_binary64_491`
1×	`pow-prod-down_binary64_490` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `associate-r/_binary64_361` `div-inv_binary64_416` `-commutative_binary64_350` `pow1/3_binary64_501` `pow-to-exp_binary64_488` `pow-exp_binary64_487` `rem-cube-cbrt_binary64_442`

Counts

4 → 94

Calls

4 calls:

8.0ms	(*.f64 PI.f64 (/.f64 angle 180))
7.0ms	(pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 3)) 3)
3.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 3428 to 2553 computations (25.5% saved)

series181.0ms (1.1%)

Error

16.9b

Counts

4 → 12

Calls

4 calls:

65.0ms	(pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 3)) 3)
47.0ms	(*.f64 PI.f64 (/.f64 angle 180))
27.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 936 to 799 computations (14.6% saved)

simplify108.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

557×	`associate-/l*_binary64_364`
474×	`sqr-pow_binary64_391`
448×	`times-frac_binary64_425`
321×	`unswap-sqr_binary64_387`
298×	`associate-/l/_binary64_366`
269×	`log-prod_binary64_505`
257×	`exp-prod_binary64_471`
212×	`cube-prod_binary64_447`
194×	`pow-sqr_binary64_392`
184×	`*-commutative_binary64_350`
183×	`associate-/r/_binary64_365`
163×	`associate-*r/_binary64_361`
151×	`associate-*l/_binary64_362`
149×	`associate-/r*_binary64_363`
106×	`unpow3_binary64_485`
95×	`associate-l_binary64_360` `associate-+l+_binary64_352`
92×	`cube-mult_binary64_449`
78×	`associate-r_binary64_359`
73×	`associate-+r+_binary64_351`
60×	`swap-sqr_binary64_386`
47×	`*-lft-identity_binary64_408`
46×	`log-pow_binary64_508`
39×	`*-rgt-identity_binary64_409`
36×	`pow-plus_binary64_482`
32×	`sub-neg_binary64_412`
28×	`/-rgt-identity_binary64_410`
27×	`distribute-rgt-in_binary64_369`
23×	`distribute-lft-in_binary64_368`
22×	`cube-unmult_binary64_456`
18×	`log-div_binary64_506`
17×	`rem-sqrt-square_binary64_432`
15×	`cube-div_binary64_448`
14×	`count-2_binary64_367` `+-commutative_binary64_349`
13×	`distribute-rgt-out_binary64_372`
12×	`associate-+l-_binary64_354`
11×	`rem-cube-cbrt_binary64_442`
10×	`unsub-neg_binary64_413` `associate--l+_binary64_356`
9×	`neg-mul-1_binary64_415`
8×	`neg-sub0_binary64_414`
7×	`associate--r+_binary64_355`
6×	`remove-double-div_binary64_395` `associate-+r-_binary64_353`
5×	`rem-cbrt-cube_binary64_443` `distribute-neg-in_binary64_380` `distribute-lft-out_binary64_370`
4×	`log-rec_binary64_507` `+-rgt-identity_binary64_404`
3×	`unpow2_binary64_484` `unpow1/2_binary64_483`
2×	`sub0-neg_binary64_406` `associate--r-_binary64_358`
1×	`unpow1_binary64_477` `1-exp_binary64_463` `exp-1-e_binary64_462` `rem-square-sqrt_binary64_431` `remove-double-neg_binary64_407` `associate--l-_binary64_357`
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` `sqr-abs_binary64_434` `sqr-neg_binary64_433` `div-sub_binary64_424` `mul-1-neg_binary64_411` `--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` `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-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-lft-out--_binary64_371`

Counts

106 → 73

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	145	1796
1	266	1568
2	801	1532
3	2104	1532
4	4194	1529
5	5213	1529

prune134.0ms (0.8%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	22	22
Picked	1	0	1
Done	0	0	0
Total	73	23	96

Error

17.1b

Counts

96 → 23

Compiler

Compiled 2228 to 1590 computations (28.6% saved)

regimes2.3s (14.6%)

Accuracy

Total 1.3b remaining (6.3%)

Threshold costs 0b (0%)

Compiler

Compiled 26859 to 23314 computations (13.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64_350`
1×	`1-exp_binary64_463` `+-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` `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	21	34
1	29	34
2	27	34

end0.0ms (0%)

sample8.9s (56%)

Algorithm

1×

intervals

Results

1.4s	1612×	body	1024	valid
1.2s	1353×	body	1024	invalid
635.0ms	4999×	body	128	valid
473.0ms	806×	body	512	valid
396.0ms	689×	body	512	invalid
249.0ms	190×	body	2048	valid
125.0ms	388×	body	256	valid
103.0ms	293×	body	256	invalid
86.0ms	645×	body	128	invalid
22.0ms	5×	body	4096	valid

Compiler

Compiled 4207 to 3650 computations (13.2% saved)

Details

analyze1.8s (11.2%)

sample155.0ms (1%)

simplify140.0ms (0.9%)

prune2.0ms (0%)

localize17.0ms (0.1%)

rewrite185.0ms (1.2%)

series155.0ms (1%)

simplify120.0ms (0.8%)

prune140.0ms (0.9%)

localize17.0ms (0.1%)

rewrite337.0ms (2.1%)

series158.0ms (1%)

simplify76.0ms (0.5%)

prune117.0ms (0.7%)

localize19.0ms (0.1%)

rewrite164.0ms (1%)

series162.0ms (1%)

simplify109.0ms (0.7%)

prune117.0ms (0.7%)

localize25.0ms (0.2%)

rewrite257.0ms (1.6%)

series181.0ms (1.1%)

simplify108.0ms (0.7%)

prune134.0ms (0.8%)

regimes2.3s (14.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample8.9s (56%)

Profiling