Details

analyze597.0ms (7.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

748×	`times-frac_binary64_425`
398×	`sqr-pow_binary64_391`
320×	`unswap-sqr_binary64_387`
300×	`associate-l_binary64_360`
280×	`*-commutative_binary64_350`
258×	`pow-sqr_binary64_392`
240×	`associate-/l*_binary64_364`
228×	`associate-r_binary64_359`
210×	`associate-/r*_binary64_363`
150×	`div-sub_binary64_424`
132×	`exp-prod_binary64_471`
102×	`div-exp_binary64_470`
84×	`cube-prod_binary64_447`
82×	`rem-sqrt-square_binary64_432`
76×	`unpow3_binary64_485`
64×	`associate-/l/_binary64_366`
54×	`prod-exp_binary64_468` `exp-diff_binary64_467` `sub-neg_binary64_412`
52×	`neg-mul-1_binary64_415` `associate-/r/_binary64_365`
48×	`distribute-rgt-neg-in_binary64_377`
46×	`distribute-rgt-in_binary64_369`
44×	`pow-plus_binary64_482` `exp-sum_binary64_465`
40×	`distribute-frac-neg_binary64_382` `distribute-lft-neg-in_binary64_376`
36×	`*-lft-identity_binary64_408`
32×	`neg-sub0_binary64_414` `cancel-sign-sub-inv_binary64_385` `distribute-rgt-neg-out_binary64_379`
28×	`cube-mult_binary64_449` `/-rgt-identity_binary64_410`
26×	`distribute-neg-frac_binary64_383` `distribute-lft-neg-out_binary64_378` `distribute-lft-in_binary64_368` `associate-*r/_binary64_361`
24×	`-rgt-identity_binary64_409` `associate-l/_binary64_362`
20×	`unpow1/2_binary64_483` `exp-sqrt_binary64_472` `cube-unmult_binary64_456`
18×	`unpow1_binary64_477` `rec-exp_binary64_469`
16×	`exp-lft-sqr_binary64_474`
14×	`unpow2_binary64_484`
12×	`exp-neg_binary64_466` `remove-double-neg_binary64_407` `distribute-neg-in_binary64_380` `distribute-rgt-out_binary64_372` `+-commutative_binary64_349`
10×	`unsub-neg_binary64_413` `+-rgt-identity_binary64_404`
8×	`associate--l-_binary64_357` `associate--r+_binary64_355`
6×	`distribute-lft-out_binary64_370` `associate-+l-_binary64_354`
4×	`cos-neg_binary64_550`
2×	`unpow-1_binary64_476` `cube-div_binary64_448` `sub0-neg_binary64_406` `--rgt-identity_binary64_405` `distribute-neg-out_binary64_381` `distribute-rgt1-in_binary64_375`
1×	`1-exp_binary64_463` `exp-1-e_binary64_462`
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` `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` `exp-lft-cube_binary64_475` `exp-cbrt_binary64_473` `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` `+-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` `swap-sqr_binary64_386` `cancel-sign-sub_binary64_384` `distribute-lft1-in_binary64_374` `distribute-rgt-out--_binary64_373` `distribute-lft-out--_binary64_371` `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	18	36
1	49	36
2	117	36
3	153	36
4	244	36
5	440	36
6	905	36
7	1592	36
8	2460	36
9	3094	36
10	3508	36
11	4053	36
12	4860	36
13	4861	36
14	4936	36
0	2	2
1	2	2

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
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample71.0ms (0.8%)

Algorithm

1×

intervals

Results

20.0ms	60×	body	1024	valid
13.0ms	52×	body	1024	invalid
7.0ms	139×	body	128	valid
6.0ms	38×	body	512	valid
4.0ms	26×	body	512	invalid
2.0ms	19×	body	256	valid
2.0ms	16×	body	256	invalid
1.0ms	19×	body	128	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify125.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

533×	`associate-/l*_binary64_364`
430×	`unswap-sqr_binary64_387`
374×	`times-frac_binary64_425`
340×	`associate-/r/_binary64_365`
326×	`div-exp_binary64_470`
318×	`associate-/l/_binary64_366`
286×	`sqr-pow_binary64_391`
251×	`associate-*l/_binary64_362`
202×	`pow-sqr_binary64_392`
180×	`associate-*r/_binary64_361`
176×	`div-sub_binary64_424`
150×	`associate-l_binary64_360`
137×	`*-commutative_binary64_350`
132×	`exp-prod_binary64_471`
114×	`associate-r_binary64_359`
105×	`associate-/r*_binary64_363`
100×	`rem-sqrt-square_binary64_432`
76×	`prod-exp_binary64_468`
69×	`exp-diff_binary64_467` `cube-prod_binary64_447`
66×	`*-lft-identity_binary64_408`
65×	`*-rgt-identity_binary64_409`
61×	`unpow3_binary64_485` `remove-double-div_binary64_395` `distribute-rgt-in_binary64_369`
50×	`exp-sum_binary64_465` `neg-mul-1_binary64_415`
48×	`/-rgt-identity_binary64_410`
46×	`sub-neg_binary64_412`
44×	`distribute-rgt-neg-in_binary64_377`
43×	`swap-sqr_binary64_386`
40×	`pow-plus_binary64_482` `distribute-neg-frac_binary64_383`
37×	`distribute-frac-neg_binary64_382`
33×	`neg-sub0_binary64_414`
31×	`distribute-rgt-neg-out_binary64_379`
30×	`distribute-lft-neg-in_binary64_376`
28×	`cube-mult_binary64_449`
23×	`cancel-sign-sub-inv_binary64_385`
21×	`distribute-lft-in_binary64_368`
20×	`distribute-lft-neg-out_binary64_378`
19×	`distribute-rgt-out_binary64_372`
18×	`exp-sqrt_binary64_472`
16×	`unsub-neg_binary64_413`
15×	`unpow1/2_binary64_483`
14×	`cube-unmult_binary64_456` `+-rgt-identity_binary64_404`
13×	`rec-exp_binary64_469` `exp-neg_binary64_466`
12×	`exp-lft-sqr_binary64_474` `remove-double-neg_binary64_407`
11×	`unpow1_binary64_477`
10×	`unpow2_binary64_484` `distribute-neg-in_binary64_380`
7×	`cube-div_binary64_448` `distribute-rgt-out--_binary64_373` `distribute-lft-out_binary64_370` `associate-+l-_binary64_354`
6×	`associate--l-_binary64_357` `+-commutative_binary64_349`
5×	`associate--r+_binary64_355`
4×	`distribute-neg-out_binary64_381`
3×	`unpow-1_binary64_476` `distribute-rgt1-in_binary64_375`
1×	`1-exp_binary64_463` `exp-1-e_binary64_462` `sub0-neg_binary64_406` `--rgt-identity_binary64_405` `associate-+r-_binary64_353` `associate-+l+_binary64_352` `associate-+r+_binary64_351`
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` `exp-lft-cube_binary64_475` `exp-cbrt_binary64_473` `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` `+-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-lft1-in_binary64_374` `distribute-lft-out--_binary64_371` `count-2_binary64_367` `associate--r-_binary64_358` `associate--l+_binary64_356`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	28	18
2	63	18
3	83	18
4	130	18
5	231	18
6	472	18
7	824	18
8	3187	18
9	3032	18
10	3749	18
11	3945	18
12	4345	18
13	4832	18
14	4908	18
15	5290	18

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

0.0b

Counts

1 → 1

Compiler

Compiled 11 to 10 computations (9.1% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite38.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
4×	`-un-lft-identity_binary64_419` `associate-r*_binary64_359`
3×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
2×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `associate-*r/_binary64_361`
1×	`add-log-exp_binary64_458` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `flip3-+_binary64_422` `flip-+_binary64_393` `associate-l_binary64_360` `distribute-lft-out_binary64_370` `*-commutative_binary64_350`

Counts

1 → 23

Calls

1 calls:

11.0ms

(*.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Compiler

Compiled 467 to 167 computations (64.2% saved)

series264.0ms (3.1%)

Error

0.0b

Counts

1 → 11

Calls

1 calls:

251.0ms

(*.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Compiler

Compiled 496 to 345 computations (30.4% saved)

simplify58.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

450×	`associate-+l+_binary64_352`
329×	`times-frac_binary64_425`
324×	`distribute-rgt-in_binary64_369`
319×	`*-commutative_binary64_350`
300×	`distribute-lft-in_binary64_368`
256×	`cancel-sign-sub-inv_binary64_385`
209×	`associate-*l/_binary64_362`
170×	`associate--l+_binary64_356`
164×	`associate-*r/_binary64_361`
163×	`associate-/l*_binary64_364`
152×	`associate-l_binary64_360`
128×	`associate-r_binary64_359`
125×	`unswap-sqr_binary64_387`
105×	`associate-+l-_binary64_354`
98×	`distribute-lft-out_binary64_370`
89×	`sub-neg_binary64_412`
87×	`sqr-pow_binary64_391` `associate-/r*_binary64_363`
75×	`exp-prod_binary64_471`
74×	`+-commutative_binary64_349`
71×	`distribute-rgt-neg-in_binary64_377` `distribute-rgt-out_binary64_372`
65×	`associate-+r-_binary64_353`
61×	`distribute-lft-neg-in_binary64_376`
60×	`associate-+r+_binary64_351`
45×	`associate--r+_binary64_355`
33×	`swap-sqr_binary64_386`
29×	`*-rgt-identity_binary64_409`
27×	`*-lft-identity_binary64_408`
26×	`neg-sub0_binary64_414` `unsub-neg_binary64_413`
25×	`neg-mul-1_binary64_415` `distribute-rgt-out--_binary64_373`
19×	`log-prod_binary64_505`
18×	`cube-prod_binary64_447`
15×	`distribute-lft-neg-out_binary64_378`
14×	`exp-sum_binary64_465` `pow-sqr_binary64_392` `associate-/l/_binary64_366`
12×	`prod-exp_binary64_468`
10×	`+-rgt-identity_binary64_404`
9×	`cube-unmult_binary64_456` `distribute-rgt-neg-out_binary64_379`
8×	`exp-diff_binary64_467` `distribute-neg-in_binary64_380`
7×	`unpow3_binary64_485` `unpow1/2_binary64_483` `sub0-neg_binary64_406`
6×	`distribute-neg-frac_binary64_383` `distribute-rgt1-in_binary64_375`
5×	`pow-plus_binary64_482` `cube-mult_binary64_449` `associate-/r/_binary64_365`
4×	`difference-of-squares_binary64_388` `distribute-lft-out--_binary64_371` `count-2_binary64_367` `associate--r-_binary64_358` `associate--l-_binary64_357`
3×	`distribute-neg-out_binary64_381` `distribute-lft1-in_binary64_374`
2×	`unpow2_binary64_484` `unpow1_binary64_477` `div-exp_binary64_470` `rec-exp_binary64_469` `exp-neg_binary64_466` `rem-sqrt-square_binary64_432`
1×	`1-exp_binary64_463` `exp-1-e_binary64_462` `cube-div_binary64_448` `div-sub_binary64_424` `/-rgt-identity_binary64_410` `remove-double-neg_binary64_407` `--rgt-identity_binary64_405` `rgt-mult-inverse_binary64_396`
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` `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` `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` `+-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` `remove-double-div_binary64_395` `difference-of-sqr--1_binary64_390` `difference-of-sqr-1_binary64_389` `cancel-sign-sub_binary64_384` `distribute-frac-neg_binary64_382`

Counts

34 → 29

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	853
1	294	722
2	1044	681
3	2486	662
4	4925	662

prune35.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	27	2	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	3	30

Error

0.0b

Counts

30 → 3

Compiler

Compiled 526 to 214 computations (59.3% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 im) 3)
0.0b	(pow.f64 (exp.f64 im) -3)
0.5b	(/.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (pow.f64 (exp.f64 im) -3) (pow.f64 (exp.f64 im) 3))) (+.f64 (.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) (-.f64 (.f64 (exp.f64 im) (exp.f64 im)) (*.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
4.7b	(-.f64 (.f64 (exp.f64 im) (exp.f64 im)) (.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite293.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`associate-/r/_binary64_365`
18×	`frac-add_binary64_427`
14×	`add-cbrt-cube_binary64_455` `exp-neg_binary64_466`
13×	`add-exp-log_binary64_457` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
12×	`neg-sub0_binary64_414` `exp-diff_binary64_467`
10×	`flip3--_binary64_423` `flip--_binary64_394`
8×	`frac-times_binary64_429` `pow-pow_binary64_491`
6×	`add-log-exp_binary64_458` `pow1_binary64_480` `associate-*r/_binary64_361` `unpow-prod-down_binary64_498` `pow-unpow_binary64_496` `exp-prod_binary64_471`
4×	`associate-*l/_binary64_362`
3×	`prod-exp_binary64_468` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `cbrt-unprod_binary64_452` `times-frac_binary64_425` `associate-/r*_binary64_363` `cube-prod_binary64_447`
2×	`flip3-+_binary64_422` `associate-/l/_binary64_366` `flip-+_binary64_393` `un-div-inv_binary64_417` `pow-to-exp_binary64_488` `pow-exp_binary64_487` `sqr-pow_binary64_391`
1×	`diff-log_binary64_511` `sub-neg_binary64_412` `cancel-sign-sub-inv_binary64_385` `distribute-rgt-out--_binary64_373` `frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416` `associate-/l*_binary64_364` `unpow3_binary64_485` `cube-mult_binary64_449` `rem-cube-cbrt_binary64_442`

Counts

4 → 104

Calls

4 calls:

42.0ms	(/.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (pow.f64 (exp.f64 im) -3) (pow.f64 (exp.f64 im) 3))) (+.f64 (.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) (-.f64 (.f64 (exp.f64 im) (exp.f64 im)) (*.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
7.0ms	(-.f64 (.f64 (exp.f64 im) (exp.f64 im)) (.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
4.0ms	(pow.f64 (exp.f64 im) 3)
4.0ms	(pow.f64 (exp.f64 im) -3)

Compiler

Compiled 5959 to 1515 computations (74.6% saved)

series1.5s (17.8%)

Error

0.0b

Counts

4 → 29

Calls

4 calls:

1.2s	(/.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (pow.f64 (exp.f64 im) -3) (pow.f64 (exp.f64 im) 3))) (+.f64 (.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) (-.f64 (.f64 (exp.f64 im) (exp.f64 im)) (*.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
89.0ms	(pow.f64 (exp.f64 im) -3)
88.0ms	(-.f64 (.f64 (exp.f64 im) (exp.f64 im)) (.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
58.0ms	(pow.f64 (exp.f64 im) 3)

Compiler

Compiled 2928 to 1646 computations (43.8% saved)

simplify156.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

336×	`cancel-sign-sub-inv_binary64_385`
298×	`associate-l_binary64_360`
251×	`associate-r_binary64_359`
230×	`log-prod_binary64_505`
219×	`exp-prod_binary64_471`
201×	`prod-exp_binary64_468`
156×	`associate-/l*_binary64_364`
142×	`distribute-rgt-in_binary64_369`
127×	`distribute-lft-in_binary64_368`
119×	`*-commutative_binary64_350`
114×	`sqr-pow_binary64_391`
108×	`+-commutative_binary64_349`
105×	`sub-neg_binary64_412`
97×	`cube-prod_binary64_447`
79×	`unpow3_binary64_485` `div-sub_binary64_424`
69×	`times-frac_binary64_425`
67×	`associate-*l/_binary64_362`
66×	`difference-of-squares_binary64_388`
63×	`swap-sqr_binary64_386`
58×	`associate-*r/_binary64_361`
57×	`associate-/r*_binary64_363`
54×	`associate-+l+_binary64_352`
51×	`associate-/l/_binary64_366`
50×	`associate-+r+_binary64_351`
46×	`log-div_binary64_506`
43×	`neg-mul-1_binary64_415` `neg-sub0_binary64_414`
39×	`unswap-sqr_binary64_387`
38×	`log-pow_binary64_508`
37×	`*-rgt-identity_binary64_409`
33×	`unsub-neg_binary64_413`
32×	`distribute-rgt-neg-in_binary64_377`
29×	`cube-div_binary64_448`
28×	`associate--l+_binary64_356`
27×	`distribute-lft-neg-in_binary64_376`
24×	`pow-sqr_binary64_392` `associate-/r/_binary64_365`
23×	`pow-plus_binary64_482`
20×	`distribute-rgt-out_binary64_372`
19×	`div-exp_binary64_470`
18×	`cube-unmult_binary64_456` `*-lft-identity_binary64_408`
17×	`associate--r+_binary64_355`
14×	`difference-of-sqr--1_binary64_390` `distribute-neg-in_binary64_380`
11×	`rem-sqrt-square_binary64_432`
10×	`cube-mult_binary64_449`
8×	`associate-+r-_binary64_353`
7×	`exp-sum_binary64_465` `mul-1-neg_binary64_411`
6×	`distribute-lft-out_binary64_370`
5×	`unpow2_binary64_484` `unpow1/2_binary64_483` `distribute-neg-frac_binary64_383` `distribute-lft-neg-out_binary64_378` `distribute-rgt-out--_binary64_373` `associate-+l-_binary64_354`
4×	`log-rec_binary64_507` `unpow1_binary64_477` `rec-exp_binary64_469` `exp-diff_binary64_467` `+-rgt-identity_binary64_404`
3×	`exp-to-pow_binary64_481` `pow-base-1_binary64_479` `rem-log-exp_binary64_460` `sub0-neg_binary64_406`
2×	`/-rgt-identity_binary64_410` `distribute-lft1-in_binary64_374` `count-2_binary64_367` `associate--r-_binary64_358`
1×	`exp-neg_binary64_466` `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_405` `mul0-lft_binary64_401` `lft-mult-inverse_binary64_397` `distribute-neg-out_binary64_381` `distribute-rgt1-in_binary64_375`
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` `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` `e-exp-1_binary64_464` `exp-0_binary64_461` `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` `remove-double-neg_binary64_407` `+-lft-identity_binary64_403` `mul0-rgt_binary64_402` `div0_binary64_400` `*-inverses_binary64_399` `+-inverses_binary64_398` `rgt-mult-inverse_binary64_396` `remove-double-div_binary64_395` `difference-of-sqr-1_binary64_389` `cancel-sign-sub_binary64_384` `distribute-frac-neg_binary64_382` `distribute-rgt-neg-out_binary64_379` `distribute-lft-out--_binary64_371` `associate--l-_binary64_357`

Counts

133 → 103

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	330	5099
1	779	3606
2	3194	3495
3	4668	3493
4	4895	3493

prune199.0ms (2.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	103	3	106

Error

0.0b

Counts

106 → 3

Compiler

Compiled 4385 to 1813 computations (58.7% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (.f64 im im)) (+.f64 (.f64 1/24 (pow.f64 im 4)) 1)))
0.0b	(+.f64 (.f64 1/2 (.f64 im im)) (+.f64 (*.f64 1/24 (pow.f64 im 4)) 1))
0.1b	(*.f64 1/24 (pow.f64 im 4))

rewrite122.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`add-sqr-sqrt_binary64_441`
10×	`add-exp-log_binary64_457` `associate-r_binary64_359`
8×	`add-log-exp_binary64_458` `add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
7×	`add-cbrt-cube_binary64_455`
6×	`associate-l_binary64_360`
5×	`pow1_binary64_480`
4×	`prod-exp_binary64_468` `unpow-prod-down_binary64_498` `unswap-sqr_binary64_387`
3×	`sum-log_binary64_510`
2×	`cbrt-unprod_binary64_452` `sqr-pow_binary64_391` `-commutative_binary64_350` `flip3-+_binary64_422` `flip-+_binary64_393` `associate-r/_binary64_361`
1×	`pow-to-exp_binary64_488` `pow-exp_binary64_487` `associate-+r+_binary64_351` `+-commutative_binary64_349` `pow-prod-down_binary64_490` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`

Counts

3 → 60

Calls

3 calls:

13.0ms	(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (.f64 im im)) (+.f64 (.f64 1/24 (pow.f64 im 4)) 1)))
11.0ms	(+.f64 (.f64 1/2 (.f64 im im)) (+.f64 (*.f64 1/24 (pow.f64 im 4)) 1))
6.0ms	(*.f64 1/24 (pow.f64 im 4))

Compiler

Compiled 1587 to 1073 computations (32.4% saved)

series647.0ms (7.7%)

Error

0.0b

Counts

3 → 26

Calls

3 calls:

406.0ms	(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (.f64 im im)) (+.f64 (.f64 1/24 (pow.f64 im 4)) 1)))
162.0ms	(+.f64 (.f64 1/2 (.f64 im im)) (+.f64 (*.f64 1/24 (pow.f64 im 4)) 1))
53.0ms	(*.f64 1/24 (pow.f64 im 4))

Compiler

Compiled 1131 to 918 computations (18.8% saved)

simplify115.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

639×	`distribute-rgt-in_binary64_369`
599×	`distribute-lft-in_binary64_368`
272×	`cancel-sign-sub-inv_binary64_385`
264×	`associate-+l+_binary64_352`
245×	`associate--l+_binary64_356`
165×	`associate-l_binary64_360`
157×	`associate-r_binary64_359`
122×	`exp-prod_binary64_471`
117×	`associate--r+_binary64_355`
97×	`*-commutative_binary64_350`
82×	`sub-neg_binary64_412`
75×	`distribute-rgt-neg-in_binary64_377`
74×	`unsub-neg_binary64_413`
69×	`neg-mul-1_binary64_415` `neg-sub0_binary64_414`
67×	`distribute-lft-neg-in_binary64_376`
56×	`unswap-sqr_binary64_387`
43×	`log-prod_binary64_505` `+-commutative_binary64_349`
42×	`sqr-pow_binary64_391`
41×	`cube-prod_binary64_447` `distribute-rgt-out_binary64_372`
33×	`exp-sum_binary64_465`
30×	`associate-+r+_binary64_351`
26×	`distribute-neg-in_binary64_380`
23×	`associate-+l-_binary64_354`
22×	`*-lft-identity_binary64_408`
19×	`*-rgt-identity_binary64_409`
16×	`distribute-lft-out_binary64_370` `associate-+r-_binary64_353`
15×	`distribute-rgt-out--_binary64_373`
14×	`unpow3_binary64_485` `swap-sqr_binary64_386`
12×	`log-pow_binary64_508`
10×	`distribute-lft-neg-out_binary64_378`
9×	`pow-plus_binary64_482` `cube-unmult_binary64_456`
8×	`unpow1/2_binary64_483`
6×	`cube-mult_binary64_449` `pow-sqr_binary64_392`
5×	`prod-exp_binary64_468`
4×	`unpow2_binary64_484` `unpow1_binary64_477` `distribute-rgt-neg-out_binary64_379` `distribute-lft-out--_binary64_371` `associate-/l*_binary64_364` `associate--l-_binary64_357`
3×	`rem-sqrt-square_binary64_432` `distribute-rgt1-in_binary64_375`
1×	`1-exp_binary64_463` `exp-1-e_binary64_462` `rem-square-sqrt_binary64_431` `difference-of-squares_binary64_388` `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-rec_binary64_507` `log-div_binary64_506` `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` `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-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` `times-frac_binary64_425` `div-sub_binary64_424` `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` `cancel-sign-sub_binary64_384` `distribute-neg-frac_binary64_383` `distribute-frac-neg_binary64_382` `distribute-neg-out_binary64_381` `distribute-lft1-in_binary64_374` `associate-/l/_binary64_366` `associate-/r/_binary64_365` `associate-/r_binary64_363` `associate-l/_binary64_362` `associate-r/_binary64_361` `associate--r-_binary64_358`

Counts

86 → 61

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	148	1899
1	385	1742
2	1362	1690
3	4746	1690
4	4965	1690
5	4967	1690

prune82.0ms (1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	60	4	64

Error

Counts

64 → 4

Compiler

Compiled 1406 to 932 computations (33.7% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 re re) (+.f64 (*.f64 1/48 (pow.f64 im 4)) 1/2))
0.1b	(*.f64 1/24 (pow.f64 im 4))
0.1b	(*.f64 1/48 (pow.f64 im 4))
16.4b	(.f64 (.f64 im im) (-.f64 1/2 (.f64 1/4 (.f64 re re))))

rewrite246.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`add-exp-log_binary64_457` `add-sqr-sqrt_binary64_441`
20×	`associate-r_binary64_359`
18×	`add-cbrt-cube_binary64_455`
14×	`pow1_binary64_480`
12×	`prod-exp_binary64_468` `add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
8×	`cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `associate-l_binary64_360` `unpow-prod-down_binary64_498`
6×	`pow-prod-down_binary64_490`
4×	`add-log-exp_binary64_458` `associate-r/_binary64_361` `-commutative_binary64_350` `sqr-pow_binary64_391`
3×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
2×	`sub-neg_binary64_412` `cancel-sign-sub-inv_binary64_385` `pow-to-exp_binary64_488` `pow-exp_binary64_487`
1×	`flip3--_binary64_423` `flip--_binary64_394` `flip3-+_binary64_422` `flip-+_binary64_393`

Counts

4 → 98

Calls

4 calls:

12.0ms	(.f64 (.f64 re re) (+.f64 (*.f64 1/48 (pow.f64 im 4)) 1/2))
9.0ms	(.f64 (.f64 im im) (-.f64 1/2 (.f64 1/4 (.f64 re re))))
8.0ms	(*.f64 1/24 (pow.f64 im 4))
6.0ms	(*.f64 1/48 (pow.f64 im 4))

Compiler

Compiled 3820 to 2555 computations (33.1% saved)

series576.0ms (6.9%)

Error

Counts

4 → 22

Calls

4 calls:

238.0ms	(.f64 (.f64 re re) (+.f64 (*.f64 1/48 (pow.f64 im 4)) 1/2))
191.0ms	(.f64 (.f64 im im) (-.f64 1/2 (.f64 1/4 (.f64 re re))))
55.0ms	(*.f64 1/48 (pow.f64 im 4))
54.0ms	(*.f64 1/24 (pow.f64 im 4))

Compiler

Compiled 1938 to 1528 computations (21.2% saved)

simplify117.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

425×	`distribute-rgt-in_binary64_369`
422×	`distribute-lft-in_binary64_368`
352×	`exp-prod_binary64_471`
317×	`associate-l_binary64_360`
277×	`associate-r_binary64_359`
268×	`unswap-sqr_binary64_387`
160×	`*-commutative_binary64_350`
159×	`sqr-pow_binary64_391`
105×	`log-prod_binary64_505`
91×	`swap-sqr_binary64_386`
88×	`distribute-rgt-neg-in_binary64_377`
76×	`cube-prod_binary64_447` `cancel-sign-sub-inv_binary64_385`
73×	`distribute-lft-neg-in_binary64_376`
68×	`neg-sub0_binary64_414`
67×	`neg-mul-1_binary64_415`
63×	`*-rgt-identity_binary64_409`
62×	`*-lft-identity_binary64_408`
56×	`unsub-neg_binary64_413`
37×	`pow-sqr_binary64_392`
31×	`sub-neg_binary64_412`
25×	`pow-plus_binary64_482` `associate-+l+_binary64_352` `associate-+r+_binary64_351`
24×	`unpow3_binary64_485`
21×	`+-commutative_binary64_349`
18×	`exp-sum_binary64_465` `distribute-lft-neg-out_binary64_378`
16×	`log-pow_binary64_508` `cube-mult_binary64_449`
13×	`unpow1/2_binary64_483`
12×	`distribute-rgt-neg-out_binary64_379`
9×	`exp-diff_binary64_467`
8×	`cube-unmult_binary64_456` `mul0-rgt_binary64_402` `mul0-lft_binary64_401`
6×	`unpow2_binary64_484`
5×	`div-sub_binary64_424`
4×	`unpow1_binary64_477` `sub0-neg_binary64_406` `distribute-rgt-out_binary64_372` `associate-/l*_binary64_364` `associate-+l-_binary64_354`
3×	`rem-sqrt-square_binary64_432`
2×	`prod-exp_binary64_468` `exp-neg_binary64_466` `+-rgt-identity_binary64_404` `distribute-lft-out_binary64_370` `count-2_binary64_367` `associate-+r-_binary64_353`
1×	`1-exp_binary64_463` `exp-1-e_binary64_462` `sqr-neg_binary64_433` `rem-square-sqrt_binary64_431` `distribute-rgt1-in_binary64_375` `distribute-rgt-out--_binary64_373`
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` `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` `e-exp-1_binary64_464` `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` `times-frac_binary64_425` `mul-1-neg_binary64_411` `/-rgt-identity_binary64_410` `remove-double-neg_binary64_407` `--rgt-identity_binary64_405` `+-lft-identity_binary64_403` `div0_binary64_400` `-inverses_binary64_399` `+-inverses_binary64_398` `lft-mult-inverse_binary64_397` `rgt-mult-inverse_binary64_396` `remove-double-div_binary64_395` `difference-of-sqr--1_binary64_390` `difference-of-sqr-1_binary64_389` `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-lft1-in_binary64_374` `distribute-lft-out--_binary64_371` `associate-/l/_binary64_366` `associate-/r/_binary64_365` `associate-/r_binary64_363` `associate-l/_binary64_362` `associate-r/_binary64_361` `associate--r-_binary64_358` `associate--l-_binary64_357` `associate--l+_binary64_356` `associate--r+_binary64_355`

Counts

120 → 91

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	192	1882
1	448	1684
2	1546	1657
3	3812	1642
4	4830	1642
5	4917	1642

prune176.0ms (2.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	91	4	95

Error

Counts

95 → 4

Compiler

Compiled 3193 to 2096 computations (34.4% saved)

regimes217.0ms (2.6%)

Accuracy

Total 0.0b remaining (84.2%)

Threshold costs 0.0b (84.2%)

Compiler

Compiled 1886 to 1430 computations (24.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64_350`
2×	`+-commutative_binary64_349`
1×	`neg-mul-1_binary64_415` `neg-sub0_binary64_414` `sub-neg_binary64_412`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_679` `if-if-and_binary64_678` `if-if-or-not_binary64_677` `if-if-or_binary64_676` `if-not_binary64_675` `if-same_binary64_674` `if-false_binary64_673` `if-true_binary64_672` `tan-0_binary64_548` `cos-0_binary64_547` `sin-0_binary64_546` `unpow1_binary64_477` `e-exp-1_binary64_464` `1-exp_binary64_463` `exp-1-e_binary64_462` `exp-0_binary64_461` `sqr-abs_binary64_434` `sqr-neg_binary64_433` `unsub-neg_binary64_413` `mul-1-neg_binary64_411` `/-rgt-identity_binary64_410` `-rgt-identity_binary64_409` `-lft-identity_binary64_408` `remove-double-neg_binary64_407` `sub0-neg_binary64_406` `--rgt-identity_binary64_405` `+-rgt-identity_binary64_404` `+-lft-identity_binary64_403` `cancel-sign-sub-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	11	18
1	18	18
2	20	18
3	21	18
4	21	18

end0.0ms (0%)

sample2.7s (32.2%)

Algorithm

1×

intervals

Results

674.0ms	1997×	body	1024	valid
401.0ms	4546×	body	128	valid
394.0ms	1839×	body	1024	invalid
171.0ms	977×	body	512	valid
157.0ms	966×	body	512	invalid
53.0ms	477×	body	256	valid
52.0ms	493×	body	256	invalid
42.0ms	713×	body	128	invalid
2.0ms	3×	body	2048	valid

Compiler

Compiled 329 to 252 computations (23.4% saved)

Details

analyze597.0ms (7.1%)

sample71.0ms (0.8%)

simplify125.0ms (1.5%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite38.0ms (0.5%)

series264.0ms (3.1%)

simplify58.0ms (0.7%)

prune35.0ms (0.4%)

localize20.0ms (0.2%)

rewrite293.0ms (3.5%)

series1.5s (17.8%)

simplify156.0ms (1.9%)

prune199.0ms (2.4%)

localize12.0ms (0.1%)

rewrite122.0ms (1.5%)

series647.0ms (7.7%)

simplify115.0ms (1.4%)

prune82.0ms (1%)

localize17.0ms (0.2%)

rewrite246.0ms (2.9%)

series576.0ms (6.9%)

simplify117.0ms (1.4%)

prune176.0ms (2.1%)

regimes217.0ms (2.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.7s (32.2%)

Profiling