Details

analyze722.0ms (13.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
25%	74.9%	0.2%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample19.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	35×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify821.0ms (15.3%)

Algorithm

1×	egg-herbie

Rules

514×	`exp-prod_binary64_471`
474×	`swap-sqr_binary64_386`
350×	`distribute-rgt-neg-in_binary64_377`
306×	`sub-neg_binary64_412`
305×	`exp-sum_binary64_465`
281×	`*-commutative_binary64_350`
255×	`distribute-rgt-in_binary64_369`
247×	`neg-mul-1_binary64_415`
244×	`neg-sub0_binary64_414`
195×	`unsub-neg_binary64_413`
174×	`pow-plus_binary64_482`
166×	`distribute-rgt-out_binary64_372`
161×	`associate-r_binary64_359`
159×	`associate-+l+_binary64_352`
154×	`distribute-rgt1-in_binary64_375`
142×	`distribute-lft-in_binary64_368`
139×	`distribute-lft-neg-in_binary64_376`
130×	`associate--r+_binary64_355`
128×	`distribute-rgt-out--_binary64_373`
115×	`associate-+r+_binary64_351`
99×	`associate--l+_binary64_356`
97×	`cancel-sign-sub-inv_binary64_385`
94×	`exp-diff_binary64_467` `associate-l_binary64_360`
85×	`associate-+l-_binary64_354`
73×	`+-commutative_binary64_349`
60×	`distribute-lft-out_binary64_370`
57×	`associate-+r-_binary64_353`
56×	`distribute-lft-out--_binary64_371`
40×	`associate--r-_binary64_358`
33×	`associate--l-_binary64_357`
27×	`distribute-lft-neg-out_binary64_378`
25×	`sqr-neg_binary64_433`
19×	`distribute-neg-in_binary64_380` `distribute-rgt-neg-out_binary64_379`
17×	`exp-lft-sqr_binary64_474`
14×	`distribute-lft1-in_binary64_374`
12×	`exp-neg_binary64_466`
11×	`+-inverses_binary64_398` `count-2_binary64_367`
8×	`mul0-lft_binary64_401`
7×	`cube-prod_binary64_447` `remove-double-neg_binary64_407` `distribute-neg-out_binary64_381`
6×	`cube-unmult_binary64_456` `sub0-neg_binary64_406` `mul0-rgt_binary64_402`
4×	`div-sub_binary64_424` `--rgt-identity_binary64_405` `+-rgt-identity_binary64_404` `+-lft-identity_binary64_403`
2×	`cube-neg_binary64_446` `difference-of-squares_binary64_388` `unswap-sqr_binary64_387`
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` `unpow3_binary64_485` `unpow2_binary64_484` `unpow1/2_binary64_483` `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-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-1-e_binary64_462` `exp-0_binary64_461` `rem-log-exp_binary64_460` `rem-exp-log_binary64_459` `cube-mult_binary64_449` `cube-div_binary64_448` `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-sqrt-square_binary64_432` `rem-square-sqrt_binary64_431` `times-frac_binary64_425` `mul-1-neg_binary64_411` `/-rgt-identity_binary64_410` `-rgt-identity_binary64_409` `-lft-identity_binary64_408` `div0_binary64_400` `-inverses_binary64_399` `lft-mult-inverse_binary64_397` `rgt-mult-inverse_binary64_396` `remove-double-div_binary64_395` `pow-sqr_binary64_392` `sqr-pow_binary64_391` `difference-of-sqr--1_binary64_390` `difference-of-sqr-1_binary64_389` `cancel-sign-sub_binary64_384` `distribute-neg-frac_binary64_383` `distribute-frac-neg_binary64_382` `associate-/l/_binary64_366` `associate-/r/_binary64_365` `associate-/l_binary64_364` `associate-/r_binary64_363` `associate-l/_binary64_362` `associate-*r/_binary64_361`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	17	14
2	27	14
3	39	14
4	60	14
5	82	14
6	167	14
7	1141	14
8	3650	14

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 7 to 7 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_458`
1×	`diff-log_binary64_511` `pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `flip3--_binary64_423` `*-un-lft-identity_binary64_419` `sub-neg_binary64_412` `flip--_binary64_394` `cancel-sign-sub-inv_binary64_385`

Counts

1 → 12

Calls

1 calls:

4.0ms

(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))

Compiler

Compiled 187 to 46 computations (75.4% saved)

series229.0ms (4.3%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

218.0ms

(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))

Compiler

Compiled 348 to 259 computations (25.6% saved)

simplify155.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

963×	`unsub-neg_binary64_413`
472×	`times-frac_binary64_425`
235×	`distribute-rgt-neg-in_binary64_377`
224×	`neg-sub0_binary64_414`
217×	`neg-mul-1_binary64_415`
214×	`exp-prod_binary64_471`
212×	`distribute-rgt-in_binary64_369`
196×	`distribute-lft-neg-in_binary64_376`
180×	`distribute-lft-in_binary64_368`
176×	`distribute-lft-neg-out_binary64_378`
173×	`*-commutative_binary64_350`
161×	`cancel-sign-sub-inv_binary64_385`
160×	`associate-l_binary64_360`
142×	`distribute-rgt-neg-out_binary64_379`
132×	`unswap-sqr_binary64_387`
121×	`associate-r_binary64_359`
111×	`distribute-rgt-out_binary64_372`
89×	`sqr-pow_binary64_391`
81×	`distribute-neg-in_binary64_380`
80×	`exp-sum_binary64_465`
77×	`associate-/l*_binary64_364`
70×	`difference-of-squares_binary64_388`
68×	`+-commutative_binary64_349`
54×	`pow-sqr_binary64_392`
53×	`distribute-neg-out_binary64_381`
49×	`sub-neg_binary64_412`
44×	`associate-+l-_binary64_354`
42×	`associate-/r*_binary64_363`
39×	`associate-*r/_binary64_361`
35×	`associate-/l/_binary64_366`
32×	`mul0-rgt_binary64_402` `mul0-lft_binary64_401`
29×	`associate-+r+_binary64_351`
24×	`exp-diff_binary64_467`
23×	`associate-*l/_binary64_362`
21×	`swap-sqr_binary64_386` `associate--r+_binary64_355` `associate-+l+_binary64_352`
17×	`associate-+r-_binary64_353`
16×	`cube-unmult_binary64_456` `cube-prod_binary64_447`
13×	`sqr-neg_binary64_433`
12×	`exp-neg_binary64_466` `associate-/r/_binary64_365`
11×	`pow-plus_binary64_482` `div-sub_binary64_424` `distribute-rgt1-in_binary64_375` `associate--l+_binary64_356`
9×	`mul-1-neg_binary64_411` `+-rgt-identity_binary64_404`
8×	`distribute-lft-out_binary64_370`
7×	`unpow3_binary64_485`
6×	`cube-mult_binary64_449` `sub0-neg_binary64_406`
3×	`cube-neg_binary64_446` `distribute-lft1-in_binary64_374` `distribute-rgt-out--_binary64_373`
2×	`log-prod_binary64_505` `div-exp_binary64_470` `--rgt-identity_binary64_405` `distribute-frac-neg_binary64_382`
1×	`prod-exp_binary64_468` `1-exp_binary64_463` `-rgt-identity_binary64_409` `remove-double-neg_binary64_407` `+-lft-identity_binary64_403` `-inverses_binary64_399` `cancel-sign-sub_binary64_384` `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` `log-rec_binary64_507` `log-div_binary64_506` `pow-base-0_binary64_503` `unpow1/3_binary64_486` `unpow2_binary64_484` `unpow1/2_binary64_483` `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` `rec-exp_binary64_469` `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` `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-sqrt-square_binary64_432` `rem-square-sqrt_binary64_431` `/-rgt-identity_binary64_410` `*-lft-identity_binary64_408` `div0_binary64_400` `+-inverses_binary64_398` `lft-mult-inverse_binary64_397` `rgt-mult-inverse_binary64_396` `remove-double-div_binary64_395` `difference-of-sqr--1_binary64_390` `difference-of-sqr-1_binary64_389` `distribute-neg-frac_binary64_383` `distribute-lft-out--_binary64_371` `associate--r-_binary64_358` `associate--l-_binary64_357`

Counts

36 → 41

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	546
1	111	517
2	304	517
3	814	517
4	1767	517
5	3250	517

prune31.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	2	42

Error

0.0b

Counts

42 → 2

Compiler

Compiled 675 to 126 computations (81.3% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.8b	(-.f64 (.f64 (.f64 y.re x.re) (.f64 y.re x.re)) (.f64 y.im (.f64 y.im (.f64 x.im x.im))))
5.2b	(.f64 y.im (.f64 y.im (*.f64 x.im x.im)))
9.7b	(.f64 y.im (.f64 x.im x.im))
25.3b	(/.f64 (-.f64 (.f64 (.f64 y.re x.re) (.f64 y.re x.re)) (.f64 y.im (.f64 y.im (.f64 x.im x.im)))) (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)))

rewrite133.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
18×	`pow1_binary64_480`
15×	`add-sqr-sqrt_binary64_441`
14×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
9×	`times-frac_binary64_425` `pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
6×	`add-log-exp_binary64_458` `associate-l_binary64_360`
3×	`associate-/l_binary64_364` `associate-/r_binary64_363`
2×	`flip3--_binary64_423` `associate-/l/_binary64_366` `flip--_binary64_394` `associate-/r/_binary64_365` `associate-r_binary64_359` `*-commutative_binary64_350`
1×	`div-exp_binary64_470` `cbrt-undiv_binary64_453` `frac-2neg_binary64_430` `div-sub_binary64_424` `clear-num_binary64_418` `div-inv_binary64_416` `flip3-+_binary64_422` `flip-+_binary64_393` `unswap-sqr_binary64_387` `diff-log_binary64_511` `sub-neg_binary64_412` `cancel-sign-sub-inv_binary64_385`

Counts

4 → 84

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (.f64 (.f64 y.re x.re) (.f64 y.re x.re)) (.f64 y.im (.f64 y.im (.f64 x.im x.im)))) (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
8.0ms	(.f64 y.im (.f64 x.im x.im))
8.0ms	(-.f64 (.f64 (.f64 y.re x.re) (.f64 y.re x.re)) (.f64 y.im (.f64 y.im (.f64 x.im x.im))))
7.0ms	(.f64 y.im (.f64 y.im (*.f64 x.im x.im)))

Compiler

Compiled 3021 to 362 computations (88% saved)

series1.5s (27.8%)

Error

0.0b

Counts

4 → 60

Calls

4 calls:

662.0ms	(/.f64 (-.f64 (.f64 (.f64 y.re x.re) (.f64 y.re x.re)) (.f64 y.im (.f64 y.im (.f64 x.im x.im)))) (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
586.0ms	(-.f64 (.f64 (.f64 y.re x.re) (.f64 y.re x.re)) (.f64 y.im (.f64 y.im (.f64 x.im x.im))))
116.0ms	(.f64 y.im (.f64 y.im (*.f64 x.im x.im)))
77.0ms	(.f64 y.im (.f64 x.im x.im))

Compiler

Compiled 2388 to 1565 computations (34.5% saved)

simplify499.0ms (9.3%)

Algorithm

1×	egg-herbie

Rules

422×	`times-frac_binary64_425`
321×	`associate-/l/_binary64_366`
266×	`distribute-rgt-in_binary64_369`
262×	`distribute-lft-in_binary64_368`
227×	`associate-l_binary64_360` `associate-r_binary64_359`
206×	`distribute-rgt-neg-in_binary64_377`
192×	`associate-/r/_binary64_365`
182×	`distribute-lft-neg-in_binary64_376`
176×	`cancel-sign-sub-inv_binary64_385`
116×	`associate-/l*_binary64_364`
111×	`unswap-sqr_binary64_387`
104×	`div-sub_binary64_424`
75×	`sqr-pow_binary64_391`
65×	`exp-prod_binary64_471`
61×	`distribute-neg-frac_binary64_383`
60×	`distribute-rgt-out_binary64_372`
48×	`swap-sqr_binary64_386` `*-commutative_binary64_350`
38×	`pow-sqr_binary64_392`
37×	`cube-prod_binary64_447`
35×	`log-prod_binary64_505` `distribute-lft-out_binary64_370`
32×	`neg-mul-1_binary64_415` `neg-sub0_binary64_414`
29×	`sub-neg_binary64_412`
22×	`distribute-lft-neg-out_binary64_378`
21×	`pow-plus_binary64_482`
20×	`associate-/r*_binary64_363`
18×	`cube-div_binary64_448`
17×	`log-div_binary64_506`
15×	`unpow3_binary64_485`
14×	`+-commutative_binary64_349`
12×	`associate-*l/_binary64_362`
11×	`cube-mult_binary64_449`
10×	`div-exp_binary64_470` `exp-sum_binary64_465` `distribute-neg-in_binary64_380`
9×	`prod-exp_binary64_468` `difference-of-squares_binary64_388`
8×	`associate-*r/_binary64_361`
7×	`/-rgt-identity_binary64_410` `*-rgt-identity_binary64_409`
6×	`cube-unmult_binary64_456` `distribute-rgt-neg-out_binary64_379` `associate-+r+_binary64_351`
5×	`associate-+l+_binary64_352`
4×	`log-pow_binary64_508` `unpow2_binary64_484` `unpow1_binary64_477` `exp-diff_binary64_467` `*-inverses_binary64_399`
3×	`rec-exp_binary64_469`
2×	`unsub-neg_binary64_413` `mul-1-neg_binary64_411` `count-2_binary64_367` `associate--r+_binary64_355`
1×	`log-rec_binary64_507` `1-exp_binary64_463` `rem-log-exp_binary64_460` `rem-sqrt-square_binary64_432` `*-lft-identity_binary64_408` `remove-double-neg_binary64_407` `+-rgt-identity_binary64_404` `distribute-rgt-out--_binary64_373` `associate--r-_binary64_358` `associate-+r-_binary64_353`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_682` `erf-erfc_binary64_681` `erf-odd_binary64_680` `if-if-and-not_binary64_679` `if-if-and_binary64_678` `if-if-or-not_binary64_677` `if-if-or_binary64_676` `if-not_binary64_675` `if-same_binary64_674` `if-false_binary64_673` `if-true_binary64_672` `not-gte_binary64_671` `not-lte_binary64_670` `not-gt_binary64_669` `not-lt_binary64_668` `gte-same_binary64_667` `lte-same_binary64_666` `gt-same_binary64_665` `lt-same_binary64_664` `sinh---cosh_binary64_611` `sinh-+-cosh_binary64_610` `sinh-cosh_binary64_609` `tanh-def-c_binary64_608` `tanh-def-b_binary64_607` `tanh-def-a_binary64_606` `cosh-def_binary64_605` `sinh-def_binary64_604` `tan-neg_binary64_551` `cos-neg_binary64_550` `sin-neg_binary64_549` `tan-0_binary64_548` `cos-0_binary64_547` `sin-0_binary64_546` `hang-m-tan_binary64_545` `hang-p-tan_binary64_544` `hang-m0-tan_binary64_543` `hang-p0-tan_binary64_542` `hang-0m-tan_binary64_541` `hang-0p-tan_binary64_540` `tan-+PI/2_binary64_539` `tan-+PI_binary64_538` `tan-PI_binary64_537` `tan-PI/3_binary64_536` `tan-PI/4_binary64_535` `tan-PI/6_binary64_534` `cos-+PI/2_binary64_533` `cos-+PI_binary64_532` `cos-PI_binary64_531` `cos-PI/2_binary64_530` `cos-PI/3_binary64_529` `cos-PI/4_binary64_528` `cos-PI/6_binary64_527` `sin-+PI/2_binary64_526` `sin-+PI_binary64_525` `sin-PI_binary64_524` `sin-PI/2_binary64_523` `sin-PI/3_binary64_522` `sin-PI/4_binary64_521` `sin-PI/6_binary64_520` `sub-1-sin_binary64_519` `sub-1-cos_binary64_518` `-1-add-sin_binary64_517` `-1-add-cos_binary64_516` `1-sub-sin_binary64_515` `1-sub-cos_binary64_514` `cos-sin-sum_binary64_513` `log-E_binary64_509` `pow-base-0_binary64_503` `unpow1/3_binary64_486` `unpow1/2_binary64_483` `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-neg_binary64_466` `e-exp-1_binary64_464` `exp-1-e_binary64_462` `exp-0_binary64_461` `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` `sub0-neg_binary64_406` `--rgt-identity_binary64_405` `+-lft-identity_binary64_403` `mul0-rgt_binary64_402` `mul0-lft_binary64_401` `div0_binary64_400` `+-inverses_binary64_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-frac-neg_binary64_382` `distribute-neg-out_binary64_381` `distribute-rgt1-in_binary64_375` `distribute-lft1-in_binary64_374` `distribute-lft-out--_binary64_371` `associate--l-_binary64_357` `associate--l+_binary64_356` `associate-+l-_binary64_354`

Counts

144 → 232

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	146	3917
1	394	3601
2	1838	3242

prune357.0ms (6.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	232	0	232
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	232	2	234

Error

0.0b

Counts

234 → 2

Compiler

Compiled 7856 to 3086 computations (60.7% saved)

regimes142.0ms (2.7%)

Accuracy

Total 0.0b remaining (17.4%)

Threshold costs 0.0b (17.4%)

Compiler

Compiled 1007 to 836 computations (17% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64_350`
4×	`sub-neg_binary64_412` `+-commutative_binary64_349`
3×	`neg-mul-1_binary64_415` `neg-sub0_binary64_414`
2×	`cancel-sign-sub-inv_binary64_385` `distribute-rgt-neg-in_binary64_377`
1×	`distribute-lft-neg-out_binary64_378` `distribute-lft-neg-in_binary64_376`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_679` `if-if-and_binary64_678` `if-if-or-not_binary64_677` `if-if-or_binary64_676` `if-not_binary64_675` `if-same_binary64_674` `if-false_binary64_673` `if-true_binary64_672` `tan-0_binary64_548` `cos-0_binary64_547` `sin-0_binary64_546` `unpow1_binary64_477` `e-exp-1_binary64_464` `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_binary64_384` `distribute-neg-frac_binary64_383` `distribute-frac-neg_binary64_382` `distribute-neg-out_binary64_381` `distribute-neg-in_binary64_380` `distribute-rgt-neg-out_binary64_379`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	17	14
2	27	14
3	33	14
4	37	14
5	38	14

Proof

(- f64 (* f64 (x re) (y re)) (* f64 (x im) (y im)))

end0.0ms (0%)

sample723.0ms (13.5%)

Algorithm

1×

intervals

Results

197.0ms	8000×	body	128	valid
35.0ms	1366×	body	128	invalid

Compiler

Compiled 154 to 129 computations (16.2% saved)

Details

analyze722.0ms (13.5%)

sample19.0ms (0.4%)

simplify821.0ms (15.3%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite13.0ms (0.2%)

series229.0ms (4.3%)

simplify155.0ms (2.9%)

prune31.0ms (0.6%)

localize13.0ms (0.2%)

rewrite133.0ms (2.5%)

series1.5s (27.8%)

simplify499.0ms (9.3%)

prune357.0ms (6.7%)

regimes142.0ms (2.7%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample723.0ms (13.5%)

Profiling