Details

analyze644.0ms (6.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

801×	`cube-prod_binary64_447`
678×	`unswap-sqr_binary64_387`
585×	`unpow3_binary64_485`
360×	`sqr-pow_binary64_391`
358×	`distribute-rgt-in_binary64_369`
340×	`associate-/l*_binary64_364`
280×	`distribute-lft-in_binary64_368`
264×	`div-sub_binary64_424`
185×	`*-commutative_binary64_350`
179×	`associate-/r*_binary64_363`
168×	`pow-sqr_binary64_392` `associate-l_binary64_360`
167×	`associate-r_binary64_359`
150×	`cube-mult_binary64_449`
144×	`cube-div_binary64_448`
77×	`associate-/l/_binary64_366`
73×	`associate-*l/_binary64_362`
66×	`sub-neg_binary64_412`
60×	`mul0-rgt_binary64_402`
59×	`associate-*r/_binary64_361`
56×	`mul0-lft_binary64_401`
54×	`swap-sqr_binary64_386`
49×	`associate-/r/_binary64_365`
36×	`times-frac_binary64_425`
28×	`+-commutative_binary64_349`
25×	`*-rgt-identity_binary64_409`
21×	`*-lft-identity_binary64_408` `div0_binary64_400`
15×	`/-rgt-identity_binary64_410`
12×	`cube-unmult_binary64_456`
9×	`*-inverses_binary64_399`
7×	`--rgt-identity_binary64_405` `remove-double-div_binary64_395`
4×	`cancel-sign-sub-inv_binary64_385` `associate--l-_binary64_357`
3×	`neg-mul-1_binary64_415` `neg-sub0_binary64_414` `sub0-neg_binary64_406` `+-rgt-identity_binary64_404` `lft-mult-inverse_binary64_397` `rgt-mult-inverse_binary64_396` `associate--r+_binary64_355` `associate-+l-_binary64_354`
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` `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` `exp-1-e_binary64_462` `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-sqrt-square_binary64_432` `rem-square-sqrt_binary64_431` `unsub-neg_binary64_413` `mul-1-neg_binary64_411` `remove-double-neg_binary64_407` `+-lft-identity_binary64_403` `+-inverses_binary64_398` `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-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` `count-2_binary64_367` `associate--r-_binary64_358` `associate--l+_binary64_356` `associate-+r-_binary64_353` `associate-+l+_binary64_352` `associate-+r+_binary64_351`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	88
1	85	76
2	144	48
3	219	36
4	245	36
5	679	36
6	1324	36
7	1536	36
8	1404	36
9	1511	36
10	1713	36
11	2126	36
12	3291	36
13	4990	36
14	5232	36
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
23.4%	51.5%	25.1%	7
24.2%	50.7%	25.1%	8
24.6%	50.3%	25.1%	9
36.9%	25.5%	37.6%	10
37.2%	25.3%	37.6%	11
37.3%	25.1%	37.6%	12
43.5%	12.7%	43.8%	13
43.6%	12.6%	43.8%	14

Compiler

Compiled 29 to 21 computations (27.6% saved)

sample42.0ms (0.4%)

Algorithm

1×

intervals

Results

24.0ms	256×	body	128	valid
3.0ms	38×	body	128	nan

Compiler

Compiled 57 to 44 computations (22.8% saved)

simplify123.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

662×	`cube-prod_binary64_447`
617×	`distribute-rgt-in_binary64_369`
522×	`pow-sqr_binary64_392`
486×	`distribute-lft-in_binary64_368`
453×	`associate-/l*_binary64_364`
447×	`sqr-pow_binary64_391`
380×	`div-sub_binary64_424`
331×	`cube-div_binary64_448`
275×	`unpow3_binary64_485`
272×	`cube-mult_binary64_449`
266×	`associate-l_binary64_360`
242×	`times-frac_binary64_425`
181×	`swap-sqr_binary64_386`
129×	`*-commutative_binary64_350`
108×	`associate-/l/_binary64_366`
79×	`unswap-sqr_binary64_387`
77×	`associate-*l/_binary64_362`
64×	`associate-/r/_binary64_365`
50×	`associate-*r/_binary64_361`
48×	`sub-neg_binary64_412`
44×	`associate-/r*_binary64_363`
41×	`mul0-lft_binary64_401`
32×	`mul0-rgt_binary64_402`
24×	`associate-r_binary64_359`
20×	`+-commutative_binary64_349`
18×	`pow-plus_binary64_482` `div0_binary64_400`
11×	`remove-double-div_binary64_395`
8×	`/-rgt-identity_binary64_410`
6×	`unpow2_binary64_484`
5×	`*-rgt-identity_binary64_409`
4×	`cube-unmult_binary64_456`
3×	`unpow1_binary64_477` `rem-sqrt-square_binary64_432` `-lft-identity_binary64_408` `-inverses_binary64_399`
2×	`--rgt-identity_binary64_405` `lft-mult-inverse_binary64_397`
1×	`unpow1/2_binary64_483` `1-exp_binary64_463` `neg-mul-1_binary64_415` `neg-sub0_binary64_414` `sub0-neg_binary64_406` `+-rgt-identity_binary64_404` `rgt-mult-inverse_binary64_396` `cancel-sign-sub-inv_binary64_385` `associate--l-_binary64_357` `associate--r+_binary64_355` `associate-+l-_binary64_354`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_682` `erf-erfc_binary64_681` `erf-odd_binary64_680` `if-if-and-not_binary64_679` `if-if-and_binary64_678` `if-if-or-not_binary64_677` `if-if-or_binary64_676` `if-not_binary64_675` `if-same_binary64_674` `if-false_binary64_673` `if-true_binary64_672` `not-gte_binary64_671` `not-lte_binary64_670` `not-gt_binary64_669` `not-lt_binary64_668` `gte-same_binary64_667` `lte-same_binary64_666` `gt-same_binary64_665` `lt-same_binary64_664` `sinh---cosh_binary64_611` `sinh-+-cosh_binary64_610` `sinh-cosh_binary64_609` `tanh-def-c_binary64_608` `tanh-def-b_binary64_607` `tanh-def-a_binary64_606` `cosh-def_binary64_605` `sinh-def_binary64_604` `tan-neg_binary64_551` `cos-neg_binary64_550` `sin-neg_binary64_549` `tan-0_binary64_548` `cos-0_binary64_547` `sin-0_binary64_546` `hang-m-tan_binary64_545` `hang-p-tan_binary64_544` `hang-m0-tan_binary64_543` `hang-p0-tan_binary64_542` `hang-0m-tan_binary64_541` `hang-0p-tan_binary64_540` `tan-+PI/2_binary64_539` `tan-+PI_binary64_538` `tan-PI_binary64_537` `tan-PI/3_binary64_536` `tan-PI/4_binary64_535` `tan-PI/6_binary64_534` `cos-+PI/2_binary64_533` `cos-+PI_binary64_532` `cos-PI_binary64_531` `cos-PI/2_binary64_530` `cos-PI/3_binary64_529` `cos-PI/4_binary64_528` `cos-PI/6_binary64_527` `sin-+PI/2_binary64_526` `sin-+PI_binary64_525` `sin-PI_binary64_524` `sin-PI/2_binary64_523` `sin-PI/3_binary64_522` `sin-PI/4_binary64_521` `sin-PI/6_binary64_520` `sub-1-sin_binary64_519` `sub-1-cos_binary64_518` `-1-add-sin_binary64_517` `-1-add-cos_binary64_516` `1-sub-sin_binary64_515` `1-sub-cos_binary64_514` `cos-sin-sum_binary64_513` `log-E_binary64_509` `log-pow_binary64_508` `log-rec_binary64_507` `log-div_binary64_506` `log-prod_binary64_505` `pow-base-0_binary64_503` `unpow1/3_binary64_486` `exp-to-pow_binary64_481` `pow-base-1_binary64_479` `unpow0_binary64_478` `unpow-1_binary64_476` `exp-lft-cube_binary64_475` `exp-lft-sqr_binary64_474` `exp-cbrt_binary64_473` `exp-sqrt_binary64_472` `exp-prod_binary64_471` `div-exp_binary64_470` `rec-exp_binary64_469` `prod-exp_binary64_468` `exp-diff_binary64_467` `exp-neg_binary64_466` `exp-sum_binary64_465` `e-exp-1_binary64_464` `exp-1-e_binary64_462` `exp-0_binary64_461` `rem-log-exp_binary64_460` `rem-exp-log_binary64_459` `cube-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` `unsub-neg_binary64_413` `mul-1-neg_binary64_411` `remove-double-neg_binary64_407` `+-lft-identity_binary64_403` `+-inverses_binary64_398` `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-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` `count-2_binary64_367` `associate--r-_binary64_358` `associate--l+_binary64_356` `associate-+r-_binary64_353` `associate-+l+_binary64_352` `associate-+r+_binary64_351`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	22
1	31	19
2	49	12
3	70	9
4	78	9
5	197	9
6	452	9
7	867	9
8	1025	9
9	1607	9
10	1898	9
11	2922	9
12	3978	9
13	4245	9
14	4332	9
15	4968	9

prune6.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.2b

Counts

2 → 2

Compiler

Compiled 40 to 32 computations (20% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))

rewrite40.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`times-frac_binary64_425`
10×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
5×	`pow1_binary64_480`
4×	`log-pow_binary64_508` `associate-/r*_binary64_363`
3×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `associate-/l*_binary64_364`
1×	`div-exp_binary64_470` `add-log-exp_binary64_458` `cbrt-undiv_binary64_453` `frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416`

Counts

1 → 31

Calls

1 calls:

3.0ms

(/.f64 (atan2.f64 im re) (log.f64 base))

Compiler

Compiled 426 to 103 computations (75.8% saved)

series375.0ms (3.6%)

Error

0.2b

Counts

1 → 9

Calls

1 calls:

369.0ms

(/.f64 (atan2.f64 im re) (log.f64 base))

Compiler

Compiled 189 to 145 computations (23.3% saved)

simplify89.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

556×	`distribute-neg-in_binary64_380`
438×	`div-sub_binary64_424`
404×	`distribute-rgt-in_binary64_369`
382×	`neg-mul-1_binary64_415`
379×	`sub-neg_binary64_412`
356×	`distribute-lft-in_binary64_368`
354×	`neg-sub0_binary64_414`
280×	`distribute-frac-neg_binary64_382`
222×	`distribute-neg-frac_binary64_383`
217×	`distribute-rgt-neg-out_binary64_379`
188×	`associate-/l/_binary64_366`
174×	`cancel-sign-sub-inv_binary64_385`
167×	`remove-double-neg_binary64_407`
156×	`times-frac_binary64_425`
147×	`associate-/l*_binary64_364`
121×	`sqr-pow_binary64_391`
116×	`distribute-lft-neg-out_binary64_378`
106×	`log-div_binary64_506`
97×	`cube-div_binary64_448` `associate-/r*_binary64_363`
92×	`log-prod_binary64_505`
91×	`cube-prod_binary64_447`
86×	`associate-/r/_binary64_365`
83×	`unsub-neg_binary64_413`
79×	`+-lft-identity_binary64_403`
67×	`associate-*l/_binary64_362`
64×	`distribute-neg-out_binary64_381`
61×	`div0_binary64_400`
55×	`associate-l_binary64_360`
54×	`associate-*r/_binary64_361`
51×	`exp-prod_binary64_471`
49×	`*-lft-identity_binary64_408`
45×	`mul0-rgt_binary64_402`
44×	`*-rgt-identity_binary64_409` `mul0-lft_binary64_401`
39×	`associate-r_binary64_359`
36×	`unswap-sqr_binary64_387`
31×	`/-rgt-identity_binary64_410`
29×	`exp-sum_binary64_465`
26×	`*-commutative_binary64_350`
24×	`swap-sqr_binary64_386`
23×	`cube-neg_binary64_446`
21×	`unpow3_binary64_485`
20×	`+-rgt-identity_binary64_404`
19×	`cube-mult_binary64_449`
18×	`associate--r+_binary64_355` `associate-+r+_binary64_351`
17×	`pow-sqr_binary64_392` `distribute-rgt-neg-in_binary64_377` `associate-+r-_binary64_353`
16×	`distribute-lft-neg-in_binary64_376`
15×	`+-commutative_binary64_349`
14×	`exp-diff_binary64_467` `sqr-neg_binary64_433` `mul-1-neg_binary64_411`
13×	`log-rec_binary64_507`
12×	`associate--r-_binary64_358` `associate--l-_binary64_357` `associate-+l-_binary64_354` `associate-+l+_binary64_352`
10×	`rem-sqrt-square_binary64_432`
8×	`associate--l+_binary64_356`
5×	`cube-unmult_binary64_456`
4×	`exp-neg_binary64_466` `distribute-rgt-out_binary64_372`
3×	`sub0-neg_binary64_406` `distribute-rgt-out--_binary64_373`
2×	`--rgt-identity_binary64_405` `remove-double-div_binary64_395`
1×	`unpow1/2_binary64_483` `unpow-1_binary64_476` `1-exp_binary64_463` `exp-1-e_binary64_462` `+-inverses_binary64_398` `distribute-rgt1-in_binary64_375` `distribute-lft1-in_binary64_374` `distribute-lft-out_binary64_370` `count-2_binary64_367`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_682` `erf-erfc_binary64_681` `erf-odd_binary64_680` `if-if-and-not_binary64_679` `if-if-and_binary64_678` `if-if-or-not_binary64_677` `if-if-or_binary64_676` `if-not_binary64_675` `if-same_binary64_674` `if-false_binary64_673` `if-true_binary64_672` `not-gte_binary64_671` `not-lte_binary64_670` `not-gt_binary64_669` `not-lt_binary64_668` `gte-same_binary64_667` `lte-same_binary64_666` `gt-same_binary64_665` `lt-same_binary64_664` `sinh---cosh_binary64_611` `sinh-+-cosh_binary64_610` `sinh-cosh_binary64_609` `tanh-def-c_binary64_608` `tanh-def-b_binary64_607` `tanh-def-a_binary64_606` `cosh-def_binary64_605` `sinh-def_binary64_604` `tan-neg_binary64_551` `cos-neg_binary64_550` `sin-neg_binary64_549` `tan-0_binary64_548` `cos-0_binary64_547` `sin-0_binary64_546` `hang-m-tan_binary64_545` `hang-p-tan_binary64_544` `hang-m0-tan_binary64_543` `hang-p0-tan_binary64_542` `hang-0m-tan_binary64_541` `hang-0p-tan_binary64_540` `tan-+PI/2_binary64_539` `tan-+PI_binary64_538` `tan-PI_binary64_537` `tan-PI/3_binary64_536` `tan-PI/4_binary64_535` `tan-PI/6_binary64_534` `cos-+PI/2_binary64_533` `cos-+PI_binary64_532` `cos-PI_binary64_531` `cos-PI/2_binary64_530` `cos-PI/3_binary64_529` `cos-PI/4_binary64_528` `cos-PI/6_binary64_527` `sin-+PI/2_binary64_526` `sin-+PI_binary64_525` `sin-PI_binary64_524` `sin-PI/2_binary64_523` `sin-PI/3_binary64_522` `sin-PI/4_binary64_521` `sin-PI/6_binary64_520` `sub-1-sin_binary64_519` `sub-1-cos_binary64_518` `-1-add-sin_binary64_517` `-1-add-cos_binary64_516` `1-sub-sin_binary64_515` `1-sub-cos_binary64_514` `cos-sin-sum_binary64_513` `log-E_binary64_509` `log-pow_binary64_508` `pow-base-0_binary64_503` `unpow1/3_binary64_486` `unpow2_binary64_484` `pow-plus_binary64_482` `exp-to-pow_binary64_481` `pow-base-1_binary64_479` `unpow0_binary64_478` `unpow1_binary64_477` `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` `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` `*-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-lft-out--_binary64_371`

Counts

40 → 13

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	610
1	107	572
2	213	572
3	400	572
4	1451	572
5	3750	572
6	4020	572
7	4804	572

prune16.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	9	4	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	9	6	15

Error

0.2b

Counts

15 → 6

Compiler

Compiled 198 to 79 computations (60.1% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.8b	(*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (atan2.f64 im re)))
6.6b	(cbrt.f64 (atan2.f64 im re))
6.6b	(cbrt.f64 (atan2.f64 im re))
6.6b	(cbrt.f64 (atan2.f64 im re))

rewrite91.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

25×	`cbrt-prod_binary64_450`
23×	`add-sqr-sqrt_binary64_441`
15×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
11×	`pow1_binary64_480`
9×	`pow1/3_binary64_501`
6×	`add-exp-log_binary64_457` `swap-sqr_binary64_386` `associate-l_binary64_360` `associate-r_binary64_359`
4×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455` `unswap-sqr_binary64_387`
2×	`pow-prod-down_binary64_490` `pow-prod-up_binary64_489` `pow-sqr_binary64_392`
1×	`pow2_binary64_500` `pow-plus_binary64_482` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `*-commutative_binary64_350`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (atan2.f64 im re)))
1.0ms	(cbrt.f64 (atan2.f64 im re))
1.0ms	(cbrt.f64 (atan2.f64 im re))
1.0ms	(cbrt.f64 (atan2.f64 im re))

Compiler

Compiled 1717 to 246 computations (85.7% saved)

series992.0ms (9.6%)

Error

0.2b

Counts

4 → 24

Calls

4 calls:

314.0ms	(*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (atan2.f64 im re)))
221.0ms	(cbrt.f64 (atan2.f64 im re))
218.0ms	(cbrt.f64 (atan2.f64 im re))
218.0ms	(cbrt.f64 (atan2.f64 im re))

Compiler

Compiled 1242 to 650 computations (47.7% saved)

simplify111.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

584×	`log-prod_binary64_505`
394×	`sqr-pow_binary64_391`
327×	`*-commutative_binary64_350`
311×	`distribute-lft-out_binary64_370`
278×	`associate-l_binary64_360`
266×	`associate-/r/_binary64_365`
258×	`associate-/l/_binary64_366`
188×	`exp-prod_binary64_471`
172×	`associate-r_binary64_359`
157×	`log-pow_binary64_508`
151×	`distribute-rgt-out_binary64_372`
145×	`cube-prod_binary64_447`
126×	`pow-sqr_binary64_392`
119×	`log-div_binary64_506`
112×	`unswap-sqr_binary64_387`
111×	`swap-sqr_binary64_386`
104×	`associate-/l*_binary64_364`
75×	`associate-+l+_binary64_352`
69×	`associate-+r+_binary64_351`
61×	`distribute-rgt-in_binary64_369`
57×	`distribute-lft-in_binary64_368`
54×	`times-frac_binary64_425`
42×	`rem-sqrt-square_binary64_432`
40×	`pow-plus_binary64_482` `+-commutative_binary64_349`
36×	`count-2_binary64_367`
35×	`associate-*r/_binary64_361`
31×	`-rgt-identity_binary64_409` `-lft-identity_binary64_408`
30×	`unpow3_binary64_485`
25×	`cube-mult_binary64_449`
24×	`associate-/r*_binary64_363`
22×	`distribute-rgt1-in_binary64_375`
12×	`cube-div_binary64_448`
11×	`cube-unmult_binary64_456`
10×	`distribute-lft1-in_binary64_374`
9×	`unpow1/2_binary64_483`
8×	`associate-*l/_binary64_362`
7×	`unpow2_binary64_484`
4×	`unpow1_binary64_477`
2×	`unpow1/3_binary64_486` `rem-3cbrt-lft_binary64_444` `rem-cbrt-cube_binary64_443`
1×	`log-rec_binary64_507` `exp-lft-sqr_binary64_474` `exp-sqrt_binary64_472` `1-exp_binary64_463` `exp-1-e_binary64_462` `rem-3cbrt-rft_binary64_445` `rem-square-sqrt_binary64_431`
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` `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` `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-cube-cbrt_binary64_442` `sqr-abs_binary64_434` `sqr-neg_binary64_433` `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` `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

97 → 64

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	51	1160
1	82	1069
2	259	1037
3	870	1017
4	1628	891
5	2483	891
6	4799	891
7	4826	891

prune66.0ms (0.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	60	4	64
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	63	7	70

Error

0.1b

Counts

70 → 7

Compiler

Compiled 1276 to 272 computations (78.7% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.0b	(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 im re))) 5)
6.6b	(cbrt.f64 (atan2.f64 im re))
6.6b	(cbrt.f64 (atan2.f64 im re))
6.6b	(cbrt.f64 (atan2.f64 im re))

rewrite81.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

18×	`cbrt-prod_binary64_450`
11×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
9×	`unpow-prod-down_binary64_498`
5×	`pow1_binary64_480` `add-exp-log_binary64_457`
4×	`pow1/3_binary64_501` `add-log-exp_binary64_458` `add-cbrt-cube_binary64_455`
3×	`pow-unpow_binary64_496`
2×	`pow-pow_binary64_491`
1×	`pow-to-exp_binary64_488` `pow-exp_binary64_487` `sqr-pow_binary64_391`

Counts

4 → 57

Calls

4 calls:

4.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 im re))) 5)
1.0ms	(cbrt.f64 (atan2.f64 im re))
1.0ms	(cbrt.f64 (atan2.f64 im re))
1.0ms	(cbrt.f64 (atan2.f64 im re))

Compiler

Compiled 1562 to 401 computations (74.3% saved)

series1.1s (10.7%)

Error

0.1b

Counts

4 → 24

Calls

4 calls:

393.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 im re))) 5)
237.0ms	(cbrt.f64 (atan2.f64 im re))
234.0ms	(cbrt.f64 (atan2.f64 im re))
220.0ms	(cbrt.f64 (atan2.f64 im re))

Compiler

Compiled 1566 to 866 computations (44.7% saved)

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

862×	`unswap-sqr_binary64_387`
358×	`associate-l_binary64_360`
276×	`distribute-rgt-in_binary64_369`
272×	`distribute-lft-in_binary64_368`
228×	`associate-r_binary64_359`
183×	`log-prod_binary64_505`
166×	`sqr-pow_binary64_391`
137×	`associate-+l+_binary64_352` `associate-+r+_binary64_351`
78×	`associate-/l*_binary64_364`
75×	`exp-prod_binary64_471`
63×	`cube-prod_binary64_447`
40×	`cube-unmult_binary64_456` `associate-/l/_binary64_366`
35×	`pow-sqr_binary64_392` `distribute-rgt-out_binary64_372`
34×	`*-commutative_binary64_350`
31×	`pow-plus_binary64_482`
26×	`count-2_binary64_367`
25×	`associate-*r/_binary64_361`
22×	`log-pow_binary64_508`
21×	`associate-/r*_binary64_363`
20×	`distribute-lft-out_binary64_370`
16×	`associate-/r/_binary64_365`
6×	`rem-sqrt-square_binary64_432` `swap-sqr_binary64_386`
5×	`unpow3_binary64_485` `-lft-identity_binary64_408` `associate-l/_binary64_362`
4×	`times-frac_binary64_425` `*-rgt-identity_binary64_409` `distribute-rgt1-in_binary64_375`
2×	`cube-mult_binary64_449` `/-rgt-identity_binary64_410`
1×	`unpow1/3_binary64_486` `unpow1/2_binary64_483` `unpow1_binary64_477` `1-exp_binary64_463` `rem-3cbrt-lft_binary64_444`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_682` `erf-erfc_binary64_681` `erf-odd_binary64_680` `if-if-and-not_binary64_679` `if-if-and_binary64_678` `if-if-or-not_binary64_677` `if-if-or_binary64_676` `if-not_binary64_675` `if-same_binary64_674` `if-false_binary64_673` `if-true_binary64_672` `not-gte_binary64_671` `not-lte_binary64_670` `not-gt_binary64_669` `not-lt_binary64_668` `gte-same_binary64_667` `lte-same_binary64_666` `gt-same_binary64_665` `lt-same_binary64_664` `sinh---cosh_binary64_611` `sinh-+-cosh_binary64_610` `sinh-cosh_binary64_609` `tanh-def-c_binary64_608` `tanh-def-b_binary64_607` `tanh-def-a_binary64_606` `cosh-def_binary64_605` `sinh-def_binary64_604` `tan-neg_binary64_551` `cos-neg_binary64_550` `sin-neg_binary64_549` `tan-0_binary64_548` `cos-0_binary64_547` `sin-0_binary64_546` `hang-m-tan_binary64_545` `hang-p-tan_binary64_544` `hang-m0-tan_binary64_543` `hang-p0-tan_binary64_542` `hang-0m-tan_binary64_541` `hang-0p-tan_binary64_540` `tan-+PI/2_binary64_539` `tan-+PI_binary64_538` `tan-PI_binary64_537` `tan-PI/3_binary64_536` `tan-PI/4_binary64_535` `tan-PI/6_binary64_534` `cos-+PI/2_binary64_533` `cos-+PI_binary64_532` `cos-PI_binary64_531` `cos-PI/2_binary64_530` `cos-PI/3_binary64_529` `cos-PI/4_binary64_528` `cos-PI/6_binary64_527` `sin-+PI/2_binary64_526` `sin-+PI_binary64_525` `sin-PI_binary64_524` `sin-PI/2_binary64_523` `sin-PI/3_binary64_522` `sin-PI/4_binary64_521` `sin-PI/6_binary64_520` `sub-1-sin_binary64_519` `sub-1-cos_binary64_518` `-1-add-sin_binary64_517` `-1-add-cos_binary64_516` `1-sub-sin_binary64_515` `1-sub-cos_binary64_514` `cos-sin-sum_binary64_513` `log-E_binary64_509` `log-rec_binary64_507` `log-div_binary64_506` `pow-base-0_binary64_503` `unpow2_binary64_484` `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-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-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-lft1-in_binary64_374` `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` `+-commutative_binary64_349`

Counts

81 → 38

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	64	941
1	115	875
2	222	875
3	503	875
4	1398	875
5	4985	875

prune49.0ms (0.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	38	7	45

Error

0.1b

Counts

45 → 7

Compiler

Compiled 996 to 278 computations (72.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base))
0.4b	(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
6.6b	(cbrt.f64 (atan2.f64 im re))
9.5b	(cbrt.f64 (pow.f64 (atan2.f64 im re) 2))

rewrite202.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

76×	`add-sqr-sqrt_binary64_441`
63×	`cbrt-prod_binary64_450`
58×	`times-frac_binary64_425`
42×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
28×	`associate-r_binary64_359`
19×	`pow1_binary64_480`
15×	`unswap-sqr_binary64_387`
13×	`log-pow_binary64_508`
11×	`add-exp-log_binary64_457` `associate-l_binary64_360`
9×	`unpow-prod-down_binary64_498`
7×	`add-cbrt-cube_binary64_455`
6×	`associate-/l*_binary64_364`
5×	`unpow2_binary64_484` `sqr-pow_binary64_391`
4×	`add-log-exp_binary64_458` `associate-/r*_binary64_363`
2×	`pow1/3_binary64_501` `div-exp_binary64_470` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `cbrt-undiv_binary64_453` `div-inv_binary64_416`
1×	`pow-prod-down_binary64_490` `associate-r/_binary64_361` `-commutative_binary64_350` `frac-2neg_binary64_430` `clear-num_binary64_418`

Counts

4 → 141

Calls

4 calls:

17.0ms	(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
4.0ms	(/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base))
2.0ms	(cbrt.f64 (pow.f64 (atan2.f64 im re) 2))
1.0ms	(cbrt.f64 (atan2.f64 im re))

Compiler

Compiled 3398 to 1069 computations (68.5% saved)

series1.5s (14.9%)

Error

0.1b

Counts

4 → 30

Calls

4 calls:

666.0ms	(/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base))
346.0ms	(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
287.0ms	(cbrt.f64 (pow.f64 (atan2.f64 im re) 2))
219.0ms	(cbrt.f64 (atan2.f64 im re))

Compiler

Compiled 1215 to 869 computations (28.5% saved)

simplify174.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

640×	`associate-/l*_binary64_364`
398×	`times-frac_binary64_425`
350×	`associate-*l/_binary64_362`
318×	`associate-*r/_binary64_361`
286×	`log-div_binary64_506` `*-commutative_binary64_350`
223×	`div-sub_binary64_424`
197×	`log-prod_binary64_505`
181×	`associate-/l/_binary64_366`
175×	`unswap-sqr_binary64_387`
159×	`associate-/r*_binary64_363`
133×	`associate-l_binary64_360`
128×	`associate-r_binary64_359`
101×	`associate-/r/_binary64_365`
91×	`cube-div_binary64_448`
90×	`cube-prod_binary64_447`
64×	`exp-prod_binary64_471`
49×	`log-pow_binary64_508`
31×	`log-rec_binary64_507` `sqr-pow_binary64_391`
29×	`*-rgt-identity_binary64_409`
26×	`rem-sqrt-square_binary64_432` `*-lft-identity_binary64_408`
19×	`distribute-rgt-neg-in_binary64_377`
16×	`pow-plus_binary64_482` `associate-+r+_binary64_351`
15×	`sub-neg_binary64_412`
14×	`cube-unmult_binary64_456` `swap-sqr_binary64_386` `distribute-lft-neg-in_binary64_376`
12×	`+-commutative_binary64_349`
11×	`unpow3_binary64_485` `/-rgt-identity_binary64_410` `distribute-neg-frac_binary64_383` `associate-+l+_binary64_352`
10×	`associate-+r-_binary64_353`
9×	`neg-sub0_binary64_414` `cancel-sign-sub-inv_binary64_385`
8×	`cube-mult_binary64_449`
7×	`associate-+l-_binary64_354`
6×	`neg-mul-1_binary64_415` `pow-sqr_binary64_392`
5×	`unpow1/2_binary64_483` `mul-1-neg_binary64_411` `distribute-frac-neg_binary64_382` `associate--r+_binary64_355`
4×	`unpow2_binary64_484` `unpow1_binary64_477` `sqr-neg_binary64_433` `associate--l+_binary64_356`
3×	`exp-diff_binary64_467` `exp-sum_binary64_465` `cube-neg_binary64_446` `associate--r-_binary64_358` `associate--l-_binary64_357`
2×	`unpow1/3_binary64_486` `rem-3cbrt-lft_binary64_444` `distribute-lft-out_binary64_370` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `count-2_binary64_367`
1×	`1-exp_binary64_463` `exp-1-e_binary64_462` `rem-cbrt-cube_binary64_443` `rem-square-sqrt_binary64_431` `+-inverses_binary64_398` `distribute-neg-in_binary64_380`
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` `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-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-cube-cbrt_binary64_442` `sqr-abs_binary64_434` `unsub-neg_binary64_413` `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` `lft-mult-inverse_binary64_397` `rgt-mult-inverse_binary64_396` `remove-double-div_binary64_395` `difference-of-sqr--1_binary64_390` `difference-of-sqr-1_binary64_389` `difference-of-squares_binary64_388` `cancel-sign-sub_binary64_384` `distribute-neg-out_binary64_381` `distribute-rgt-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-rgt-out_binary64_372` `distribute-lft-out--_binary64_371`

Counts

171 → 121

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	169	3709
1	341	3309
2	1169	3305
3	3914	3014
4	4756	3014
5	4944	3014

prune120.0ms (1.2%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	112	9	121
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	114	14	128

Error

0.0b

Counts

128 → 14

Compiler

Compiled 2306 to 601 computations (73.9% saved)

regimes1.2s (11.2%)

Accuracy

Total 0.3b remaining (98.2%)

Threshold costs 0.3b (98.2%)

Compiler

Compiled 11762 to 7386 computations (37.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`neg-sub0_binary64_414` `sub-neg_binary64_412` `*-commutative_binary64_350` `+-commutative_binary64_349`
1×	`1-exp_binary64_463` `neg-mul-1_binary64_415` `mul-1-neg_binary64_411` `distribute-neg-frac_binary64_383`
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` `/-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-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	11	14
1	15	14
2	18	14
3	21	14
4	24	14
5	25	14
6	24	14

end0.0ms (0%)

sample3.2s (31%)

Algorithm

1×

intervals

Results

985.0ms	8000×	body	128	valid
91.0ms	1008×	body	128	nan

Compiler

Compiled 1990 to 1255 computations (36.9% saved)

Details

analyze644.0ms (6.2%)

sample42.0ms (0.4%)

simplify123.0ms (1.2%)

prune6.0ms (0.1%)

localize6.0ms (0.1%)

rewrite40.0ms (0.4%)

series375.0ms (3.6%)

simplify89.0ms (0.9%)

prune16.0ms (0.2%)

localize10.0ms (0.1%)

rewrite91.0ms (0.9%)

series992.0ms (9.6%)

simplify111.0ms (1.1%)

prune66.0ms (0.6%)

localize13.0ms (0.1%)

rewrite81.0ms (0.8%)

series1.1s (10.7%)

simplify61.0ms (0.6%)

prune49.0ms (0.5%)

localize11.0ms (0.1%)

rewrite202.0ms (2%)

series1.5s (14.9%)

simplify174.0ms (1.7%)

prune120.0ms (1.2%)

regimes1.2s (11.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.2s (31%)

Profiling