Details

analyze229.0ms (6.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

164×	`distribute-rgt-in_binary64_369`
100×	`distribute-lft-in_binary64_368`
94×	`unsub-neg_binary64_413`
91×	`cancel-sign-sub-inv_binary64_385`
69×	`associate-l_binary64_360`
65×	`associate-r_binary64_359`
59×	`sub-neg_binary64_412`
45×	`associate--r+_binary64_355`
44×	`distribute-rgt-neg-out_binary64_379`
39×	`distribute-lft-neg-out_binary64_378`
35×	`neg-mul-1_binary64_415`
34×	`+-lft-identity_binary64_403`
30×	`neg-sub0_binary64_414`
29×	`associate-+l-_binary64_354`
28×	`distribute-rgt-neg-in_binary64_377`
24×	`sub0-neg_binary64_406`
22×	`mul0-rgt_binary64_402` `mul0-lft_binary64_401`
19×	`*-commutative_binary64_350`
16×	`associate-+r+_binary64_351`
13×	`distribute-lft-neg-in_binary64_376`
12×	`distribute-neg-in_binary64_380` `distribute-rgt-out--_binary64_373` `associate-+r-_binary64_353` `associate-+l+_binary64_352`
10×	`associate--r-_binary64_358`
9×	`+-commutative_binary64_349`
8×	`--rgt-identity_binary64_405`
7×	`-rgt-identity_binary64_409` `-lft-identity_binary64_408`
6×	`distribute-rgt-out_binary64_372` `associate--l+_binary64_356`
5×	`remove-double-neg_binary64_407`
4×	`swap-sqr_binary64_386`
2×	`sqr-neg_binary64_433` `distribute-lft-out--_binary64_371`
1×	`1-exp_binary64_463` `+-rgt-identity_binary64_404`
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` `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-unmult_binary64_456` `cube-mult_binary64_449` `cube-div_binary64_448` `cube-prod_binary64_447` `cube-neg_binary64_446` `rem-3cbrt-rft_binary64_445` `rem-3cbrt-lft_binary64_444` `rem-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `sqr-abs_binary64_434` `rem-sqrt-square_binary64_432` `rem-square-sqrt_binary64_431` `times-frac_binary64_425` `div-sub_binary64_424` `mul-1-neg_binary64_411` `/-rgt-identity_binary64_410` `div0_binary64_400` `-inverses_binary64_399` `+-inverses_binary64_398` `lft-mult-inverse_binary64_397` `rgt-mult-inverse_binary64_396` `remove-double-div_binary64_395` `pow-sqr_binary64_392` `sqr-pow_binary64_391` `difference-of-sqr--1_binary64_390` `difference-of-sqr-1_binary64_389` `difference-of-squares_binary64_388` `unswap-sqr_binary64_387` `cancel-sign-sub_binary64_384` `distribute-neg-frac_binary64_383` `distribute-frac-neg_binary64_382` `distribute-neg-out_binary64_381` `distribute-rgt1-in_binary64_375` `distribute-lft1-in_binary64_374` `distribute-lft-out_binary64_370` `count-2_binary64_367` `associate-/l/_binary64_366` `associate-/r/_binary64_365` `associate-/l_binary64_364` `associate-/r_binary64_363` `associate-l/_binary64_362` `associate-*r/_binary64_361` `associate--l-_binary64_357`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	22	20
2	63	20
3	111	20
4	204	20
5	270	20
6	347	20
7	638	20
8	569	20
9	535	20
10	535	20
11	535	20
12	468	20
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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample13.0ms (0.4%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify24.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

84×	`distribute-rgt-in_binary64_369`
50×	`cancel-sign-sub-inv_binary64_385` `distribute-lft-in_binary64_368`
45×	`unsub-neg_binary64_413`
41×	`associate-l_binary64_360`
34×	`sub-neg_binary64_412`
33×	`associate-r_binary64_359`
25×	`associate--r+_binary64_355`
22×	`distribute-rgt-neg-out_binary64_379`
21×	`distribute-lft-neg-out_binary64_378`
19×	`neg-mul-1_binary64_415`
18×	`neg-sub0_binary64_414`
17×	`+-lft-identity_binary64_403`
15×	`distribute-rgt-neg-in_binary64_377`
14×	`mul0-rgt_binary64_402` `mul0-lft_binary64_401` `associate-+l-_binary64_354`
12×	`sub0-neg_binary64_406`
11×	`*-commutative_binary64_350`
9×	`associate-+r+_binary64_351`
8×	`distribute-lft-neg-in_binary64_376`
7×	`*-rgt-identity_binary64_409` `distribute-neg-in_binary64_380`
6×	`*-lft-identity_binary64_408` `distribute-rgt-out--_binary64_373` `associate-+r-_binary64_353` `associate-+l+_binary64_352` `+-commutative_binary64_349`
4×	`remove-double-neg_binary64_407` `--rgt-identity_binary64_405` `distribute-rgt-out_binary64_372` `associate--r-_binary64_358`
3×	`associate--l+_binary64_356`
2×	`+-rgt-identity_binary64_404` `swap-sqr_binary64_386`
1×	`1-exp_binary64_463` `sqr-neg_binary64_433` `mul-1-neg_binary64_411` `distribute-lft-out--_binary64_371`
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` `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-unmult_binary64_456` `cube-mult_binary64_449` `cube-div_binary64_448` `cube-prod_binary64_447` `cube-neg_binary64_446` `rem-3cbrt-rft_binary64_445` `rem-3cbrt-lft_binary64_444` `rem-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `sqr-abs_binary64_434` `rem-sqrt-square_binary64_432` `rem-square-sqrt_binary64_431` `times-frac_binary64_425` `div-sub_binary64_424` `/-rgt-identity_binary64_410` `div0_binary64_400` `-inverses_binary64_399` `+-inverses_binary64_398` `lft-mult-inverse_binary64_397` `rgt-mult-inverse_binary64_396` `remove-double-div_binary64_395` `pow-sqr_binary64_392` `sqr-pow_binary64_391` `difference-of-sqr--1_binary64_390` `difference-of-sqr-1_binary64_389` `difference-of-squares_binary64_388` `unswap-sqr_binary64_387` `cancel-sign-sub_binary64_384` `distribute-neg-frac_binary64_383` `distribute-frac-neg_binary64_382` `distribute-neg-out_binary64_381` `distribute-rgt1-in_binary64_375` `distribute-lft1-in_binary64_374` `distribute-lft-out_binary64_370` `count-2_binary64_367` `associate-/l/_binary64_366` `associate-/r/_binary64_365` `associate-/l_binary64_364` `associate-/r_binary64_363` `associate-l/_binary64_362` `associate-*r/_binary64_361` `associate--l-_binary64_357`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	15	10
2	37	10
3	66	10
4	124	10
5	163	10
6	201	10
7	373	10
8	336	10
9	319	10
10	268	10

prune1.0ms (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

0.1b

Counts

1 → 1

Compiler

Compiled 7 to 6 computations (14.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.1b	(.f64 (.f64 x y) (-.f64 1 y))

rewrite42.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
6×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `cancel-sign-sub-inv_binary64_385` `associate-r_binary64_359`
4×	`add-cube-cbrt_binary64_454` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
3×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
2×	`sub-neg_binary64_412` `associate-*r/_binary64_361` `difference-of-squares_binary64_388`
1×	`add-log-exp_binary64_458` `flip3--_binary64_423` `flip--_binary64_394` `associate-l_binary64_360` `distribute-lft-out--_binary64_371` `*-commutative_binary64_350`

Counts

1 → 31

Calls

1 calls:

9.0ms

(*.f64 (*.f64 x y) (-.f64 1 y))

Compiler

Compiled 441 to 229 computations (48.1% saved)

series150.0ms (4.1%)

Error

0.1b

Counts

1 → 9

Calls

1 calls:

143.0ms

(*.f64 (*.f64 x y) (-.f64 1 y))

Compiler

Compiled 178 to 132 computations (25.8% saved)

simplify82.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

440×	`exp-prod_binary64_471`
417×	`associate-+l+_binary64_352`
385×	`unswap-sqr_binary64_387`
354×	`*-commutative_binary64_350`
313×	`neg-mul-1_binary64_415`
310×	`neg-sub0_binary64_414`
204×	`associate-+r+_binary64_351`
193×	`distribute-rgt-neg-out_binary64_379`
186×	`distribute-lft-neg-out_binary64_378`
173×	`sqr-pow_binary64_391` `distribute-rgt-in_binary64_369`
170×	`associate-l_binary64_360`
161×	`unsub-neg_binary64_413`
159×	`distribute-lft-in_binary64_368`
118×	`associate-r_binary64_359`
116×	`sub-neg_binary64_412`
77×	`+-commutative_binary64_349`
74×	`log-prod_binary64_505`
69×	`exp-sum_binary64_465`
52×	`distribute-rgt-neg-in_binary64_377`
51×	`distribute-lft-neg-in_binary64_376`
50×	`associate-+l-_binary64_354`
49×	`exp-neg_binary64_466`
46×	`exp-diff_binary64_467`
42×	`cube-prod_binary64_447` `*-lft-identity_binary64_408`
38×	`swap-sqr_binary64_386`
36×	`*-rgt-identity_binary64_409`
34×	`associate-+r-_binary64_353`
33×	`div-sub_binary64_424`
31×	`pow-sqr_binary64_392`
28×	`difference-of-squares_binary64_388`
23×	`sub0-neg_binary64_406`
20×	`cancel-sign-sub-inv_binary64_385` `associate-/l*_binary64_364`
19×	`unpow3_binary64_485`
17×	`distribute-rgt-out_binary64_372`
14×	`mul0-rgt_binary64_402` `mul0-lft_binary64_401`
13×	`distribute-rgt-out--_binary64_373`
12×	`unpow1/2_binary64_483`
11×	`+-rgt-identity_binary64_404`
8×	`cube-unmult_binary64_456`
7×	`pow-plus_binary64_482` `cube-mult_binary64_449` `sqr-neg_binary64_433` `difference-of-sqr-1_binary64_389`
6×	`log-pow_binary64_508` `rem-sqrt-square_binary64_432` `remove-double-neg_binary64_407`
4×	`distribute-neg-in_binary64_380`
3×	`unpow2_binary64_484` `cube-neg_binary64_446` `difference-of-sqr--1_binary64_390`
2×	`--rgt-identity_binary64_405` `distribute-rgt1-in_binary64_375` `distribute-lft-out_binary64_370` `count-2_binary64_367`
1×	`unpow1_binary64_477` `1-exp_binary64_463` `exp-1-e_binary64_462` `rem-3cbrt-lft_binary64_444` `rem-square-sqrt_binary64_431` `mul-1-neg_binary64_411` `+-lft-identity_binary64_403` `distribute-lft1-in_binary64_374` `distribute-lft-out--_binary64_371` `associate-/l/_binary64_366` `associate-*r/_binary64_361`
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` `prod-exp_binary64_468` `e-exp-1_binary64_464` `exp-0_binary64_461` `rem-log-exp_binary64_460` `rem-exp-log_binary64_459` `cube-div_binary64_448` `rem-3cbrt-rft_binary64_445` `rem-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `sqr-abs_binary64_434` `times-frac_binary64_425` `/-rgt-identity_binary64_410` `div0_binary64_400` `-inverses_binary64_399` `+-inverses_binary64_398` `lft-mult-inverse_binary64_397` `rgt-mult-inverse_binary64_396` `remove-double-div_binary64_395` `cancel-sign-sub_binary64_384` `distribute-neg-frac_binary64_383` `distribute-frac-neg_binary64_382` `distribute-neg-out_binary64_381` `associate-/r/_binary64_365` `associate-/r_binary64_363` `associate-*l/_binary64_362` `associate--r-_binary64_358` `associate--l-_binary64_357` `associate--l+_binary64_356` `associate--r+_binary64_355`

Counts

40 → 37

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	515
1	212	451
2	653	449
3	1418	442
4	3003	442
5	4798	442
6	4945	442

prune32.0ms (0.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	31	6	37
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	32	6	38

Error

0.0b

Counts

38 → 6

Compiler

Compiled 447 to 152 computations (66% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 y x) (neg.f64 (.f64 y (*.f64 y x))))
0.2b	(.f64 y (.f64 y x))

rewrite40.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
6×	`add-log-exp_binary64_458`
3×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `add-cube-cbrt_binary64_454` `cbrt-unprod_binary64_452` `add-sqr-sqrt_binary64_441` `-un-lft-identity_binary64_419` `associate-l*_binary64_360`
2×	`sum-log_binary64_510`
1×	`associate-r_binary64_359` `*-commutative_binary64_350` `neg-log_binary64_512` `flip3-+_binary64_422` `unsub-neg_binary64_413` `flip-+_binary64_393` `distribute-lft-neg-in_binary64_376` `distribute-rgt1-in_binary64_375` `distribute-rgt-neg-in_binary64_377` `distribute-lft-out_binary64_370` `neg-sub0_binary64_414` `associate-+r-_binary64_353` `+-commutative_binary64_349`

Counts

2 → 34

Calls

2 calls:

5.0ms	(.f64 y (.f64 y x))
5.0ms	(+.f64 (.f64 y x) (neg.f64 (.f64 y (*.f64 y x))))

Compiler

Compiled 565 to 141 computations (75% saved)

series232.0ms (6.3%)

Error

0.0b

Counts

2 → 15

Calls

2 calls:

140.0ms	(+.f64 (.f64 y x) (neg.f64 (.f64 y (*.f64 y x))))
83.0ms	(.f64 y (.f64 y x))

Compiler

Compiled 364 to 265 computations (27.2% saved)

simplify79.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

518×	`unsub-neg_binary64_413`
356×	`distribute-rgt-neg-out_binary64_379`
327×	`distribute-rgt-in_binary64_369`
290×	`times-frac_binary64_425`
288×	`unswap-sqr_binary64_387`
256×	`distribute-lft-in_binary64_368`
230×	`*-commutative_binary64_350`
203×	`cancel-sign-sub-inv_binary64_385`
139×	`distribute-rgt-out_binary64_372`
128×	`associate-l_binary64_360`
126×	`difference-of-squares_binary64_388`
124×	`neg-sub0_binary64_414`
123×	`associate-r_binary64_359`
113×	`distribute-neg-out_binary64_381`
111×	`neg-mul-1_binary64_415`
106×	`cube-prod_binary64_447` `distribute-rgt-neg-in_binary64_377`
105×	`exp-prod_binary64_471`
103×	`log-prod_binary64_505`
101×	`sub-neg_binary64_412`
86×	`sqr-pow_binary64_391`
84×	`distribute-neg-in_binary64_380`
82×	`distribute-lft-neg-in_binary64_376`
81×	`distribute-lft-out_binary64_370`
71×	`distribute-rgt-out--_binary64_373`
69×	`distribute-lft-neg-out_binary64_378`
56×	`exp-sum_binary64_465`
47×	`distribute-lft-out--_binary64_371`
46×	`swap-sqr_binary64_386`
45×	`remove-double-neg_binary64_407`
43×	`mul0-rgt_binary64_402` `mul0-lft_binary64_401`
36×	`exp-diff_binary64_467`
30×	`associate--r+_binary64_355`
29×	`cube-neg_binary64_446` `sqr-neg_binary64_433`
27×	`+-commutative_binary64_349`
25×	`associate-+l+_binary64_352` `associate-+r+_binary64_351`
22×	`unpow3_binary64_485`
19×	`associate-+l-_binary64_354`
17×	`pow-sqr_binary64_392` `distribute-rgt1-in_binary64_375`
16×	`cube-mult_binary64_449`
15×	`div-sub_binary64_424`
14×	`associate--l+_binary64_356`
13×	`sub0-neg_binary64_406`
12×	`exp-neg_binary64_466`
9×	`distribute-frac-neg_binary64_382` `associate--r-_binary64_358` `associate--l-_binary64_357`
6×	`pow-plus_binary64_482` `mul-1-neg_binary64_411` `associate-/l*_binary64_364`
5×	`+-rgt-identity_binary64_404` `associate-+r-_binary64_353`
4×	`log-pow_binary64_508` `cancel-sign-sub_binary64_384` `distribute-lft1-in_binary64_374`
3×	`--rgt-identity_binary64_405`
2×	`unpow1/2_binary64_483` `cube-unmult_binary64_456` `associate-/r*_binary64_363`
1×	`unpow2_binary64_484` `unpow1_binary64_477` `div-exp_binary64_470` `rec-exp_binary64_469` `prod-exp_binary64_468` `1-exp_binary64_463` `exp-1-e_binary64_462` `rem-sqrt-square_binary64_432` `/-rgt-identity_binary64_410` `+-lft-identity_binary64_403` `difference-of-sqr--1_binary64_390` `difference-of-sqr-1_binary64_389` `count-2_binary64_367` `associate-*r/_binary64_361`
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` `e-exp-1_binary64_464` `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-square-sqrt_binary64_431` `-rgt-identity_binary64_409` `-lft-identity_binary64_408` `div0_binary64_400` `-inverses_binary64_399` `+-inverses_binary64_398` `lft-mult-inverse_binary64_397` `rgt-mult-inverse_binary64_396` `remove-double-div_binary64_395` `distribute-neg-frac_binary64_383` `associate-/l/_binary64_366` `associate-/r/_binary64_365` `associate-l/_binary64_362`

Counts

49 → 40

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	587
1	207	499
2	835	482
3	2570	480
4	4401	480
5	4929	480

prune33.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	41	5	46

Error

0.0b

Counts

46 → 5

Compiler

Compiled 515 to 152 computations (70.5% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite88.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1597 to 387 computations (75.8% saved)

series455.0ms (12.3%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

129.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
110.0ms	(cbrt.f64 y)
107.0ms	(cbrt.f64 y)
98.0ms	(cbrt.f64 y)

Compiler

Compiled 699 to 436 computations (37.6% saved)

simplify99.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

586×	`log-prod_binary64_505`
416×	`sqr-pow_binary64_391`
335×	`associate-l_binary64_360`
309×	`*-commutative_binary64_350`
277×	`distribute-rgt-neg-in_binary64_377`
257×	`distribute-lft-neg-in_binary64_376`
227×	`associate-r_binary64_359`
188×	`exp-prod_binary64_471`
161×	`log-pow_binary64_508`
149×	`cube-prod_binary64_447`
128×	`pow-sqr_binary64_392`
124×	`unswap-sqr_binary64_387`
111×	`swap-sqr_binary64_386`
104×	`associate-/l*_binary64_364`
81×	`cancel-sign-sub-inv_binary64_385`
75×	`associate-+l+_binary64_352`
69×	`associate-+r+_binary64_351`
61×	`distribute-rgt-in_binary64_369`
60×	`distribute-lft-out_binary64_370`
57×	`distribute-lft-in_binary64_368`
54×	`neg-sub0_binary64_414`
53×	`neg-mul-1_binary64_415`
48×	`distribute-rgt-out_binary64_372`
45×	`+-commutative_binary64_349`
43×	`pow-plus_binary64_482` `rem-sqrt-square_binary64_432`
41×	`times-frac_binary64_425` `sub-neg_binary64_412`
37×	`associate-/r/_binary64_365`
35×	`associate-*r/_binary64_361`
32×	`unpow3_binary64_485`
31×	`-rgt-identity_binary64_409` `-lft-identity_binary64_408` `associate-/l/_binary64_366`
29×	`count-2_binary64_367`
27×	`cube-mult_binary64_449`
24×	`associate-/r*_binary64_363`
17×	`log-div_binary64_506` `cube-div_binary64_448` `distribute-neg-frac_binary64_383`
13×	`cube-unmult_binary64_456` `distribute-rgt1-in_binary64_375`
11×	`distribute-rgt-neg-out_binary64_379`
10×	`unpow1/2_binary64_483`
9×	`distribute-lft-neg-out_binary64_378` `distribute-lft1-in_binary64_374`
8×	`unpow2_binary64_484` `associate-*l/_binary64_362`
5×	`unpow1_binary64_477`
3×	`unpow1/3_binary64_486`
2×	`exp-sqrt_binary64_472` `rem-3cbrt-lft_binary64_444` `rem-cbrt-cube_binary64_443` `mul-1-neg_binary64_411`
1×	`exp-lft-sqr_binary64_474` `1-exp_binary64_463` `exp-1-e_binary64_462` `rem-3cbrt-rft_binary64_445` `rem-square-sqrt_binary64_431` `sub0-neg_binary64_406` `--rgt-identity_binary64_405` `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-rec_binary64_507` `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` `unsub-neg_binary64_413` `/-rgt-identity_binary64_410` `remove-double-neg_binary64_407` `+-rgt-identity_binary64_404` `+-lft-identity_binary64_403` `mul0-rgt_binary64_402` `mul0-lft_binary64_401` `div0_binary64_400` `*-inverses_binary64_399` `+-inverses_binary64_398` `lft-mult-inverse_binary64_397` `rgt-mult-inverse_binary64_396` `remove-double-div_binary64_395` `difference-of-sqr--1_binary64_390` `difference-of-sqr-1_binary64_389` `difference-of-squares_binary64_388` `cancel-sign-sub_binary64_384` `distribute-frac-neg_binary64_382` `distribute-neg-out_binary64_381` `distribute-neg-in_binary64_380` `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-+r-_binary64_353`

Counts

85 → 50

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	56	718
1	97	666
2	308	646
3	1135	632
4	2034	548
5	3257	548
6	4939	548
7	4873	548

prune52.0ms (1.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	49	6	55

Error

0.0b

Counts

55 → 6

Compiler

Compiled 1011 to 313 computations (69% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 y)) 4)

rewrite86.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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 y)) 4)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1655 to 532 computations (67.9% saved)

series567.0ms (15.3%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

208.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 y)) 4)
122.0ms	(cbrt.f64 y)
112.0ms	(cbrt.f64 y)
110.0ms	(cbrt.f64 y)

Compiler

Compiled 957 to 585 computations (38.9% saved)

simplify58.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

363×	`associate-+l+_binary64_352`
312×	`associate-+r+_binary64_351`
308×	`distribute-rgt-in_binary64_369`
304×	`unswap-sqr_binary64_387`
288×	`distribute-lft-in_binary64_368`
209×	`log-prod_binary64_505`
194×	`*-commutative_binary64_350`
182×	`sqr-pow_binary64_391`
164×	`distribute-rgt-neg-in_binary64_377`
163×	`distribute-lft-neg-in_binary64_376`
113×	`cube-prod_binary64_447`
105×	`exp-prod_binary64_471` `associate-l_binary64_360`
93×	`associate-/l*_binary64_364`
86×	`associate-r_binary64_359`
73×	`swap-sqr_binary64_386`
55×	`pow-sqr_binary64_392`
54×	`pow-plus_binary64_482`
50×	`cancel-sign-sub-inv_binary64_385`
44×	`cube-unmult_binary64_456` `distribute-rgt-out_binary64_372`
39×	`log-pow_binary64_508`
30×	`rem-sqrt-square_binary64_432` `associate-/l/_binary64_366`
29×	`distribute-lft-out_binary64_370`
28×	`associate-/r*_binary64_363`
25×	`neg-sub0_binary64_414`
24×	`neg-mul-1_binary64_415`
20×	`associate-*r/_binary64_361`
18×	`count-2_binary64_367`
15×	`associate-/r/_binary64_365`
12×	`unpow2_binary64_484` `unpow1/2_binary64_483` `unpow1_binary64_477`
9×	`unpow3_binary64_485` `rem-3cbrt-rft_binary64_445`
6×	`cube-mult_binary64_449` `sub-neg_binary64_412`
5×	`*-rgt-identity_binary64_409`
4×	`times-frac_binary64_425` `associate-*l/_binary64_362`
3×	`unpow1/3_binary64_486` `distribute-rgt-neg-out_binary64_379` `distribute-lft-neg-out_binary64_378`
2×	`rem-cbrt-cube_binary64_443` `mul-1-neg_binary64_411` `*-lft-identity_binary64_408` `distribute-rgt1-in_binary64_375`
1×	`1-exp_binary64_463` `rem-3cbrt-lft_binary64_444` `/-rgt-identity_binary64_410` `associate-+l-_binary64_354` `+-commutative_binary64_349`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_682` `erf-erfc_binary64_681` `erf-odd_binary64_680` `if-if-and-not_binary64_679` `if-if-and_binary64_678` `if-if-or-not_binary64_677` `if-if-or_binary64_676` `if-not_binary64_675` `if-same_binary64_674` `if-false_binary64_673` `if-true_binary64_672` `not-gte_binary64_671` `not-lte_binary64_670` `not-gt_binary64_669` `not-lt_binary64_668` `gte-same_binary64_667` `lte-same_binary64_666` `gt-same_binary64_665` `lt-same_binary64_664` `sinh---cosh_binary64_611` `sinh-+-cosh_binary64_610` `sinh-cosh_binary64_609` `tanh-def-c_binary64_608` `tanh-def-b_binary64_607` `tanh-def-a_binary64_606` `cosh-def_binary64_605` `sinh-def_binary64_604` `tan-neg_binary64_551` `cos-neg_binary64_550` `sin-neg_binary64_549` `tan-0_binary64_548` `cos-0_binary64_547` `sin-0_binary64_546` `hang-m-tan_binary64_545` `hang-p-tan_binary64_544` `hang-m0-tan_binary64_543` `hang-p0-tan_binary64_542` `hang-0m-tan_binary64_541` `hang-0p-tan_binary64_540` `tan-+PI/2_binary64_539` `tan-+PI_binary64_538` `tan-PI_binary64_537` `tan-PI/3_binary64_536` `tan-PI/4_binary64_535` `tan-PI/6_binary64_534` `cos-+PI/2_binary64_533` `cos-+PI_binary64_532` `cos-PI_binary64_531` `cos-PI/2_binary64_530` `cos-PI/3_binary64_529` `cos-PI/4_binary64_528` `cos-PI/6_binary64_527` `sin-+PI/2_binary64_526` `sin-+PI_binary64_525` `sin-PI_binary64_524` `sin-PI/2_binary64_523` `sin-PI/3_binary64_522` `sin-PI/4_binary64_521` `sin-PI/6_binary64_520` `sub-1-sin_binary64_519` `sub-1-cos_binary64_518` `-1-add-sin_binary64_517` `-1-add-cos_binary64_516` `1-sub-sin_binary64_515` `1-sub-cos_binary64_514` `cos-sin-sum_binary64_513` `log-E_binary64_509` `log-rec_binary64_507` `log-div_binary64_506` `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-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-cube-cbrt_binary64_442` `sqr-abs_binary64_434` `sqr-neg_binary64_433` `rem-square-sqrt_binary64_431` `div-sub_binary64_424` `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` `+-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-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-+r-_binary64_353`

Counts

69 → 38

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	68	637
1	125	590
2	265	576
3	686	548
4	1603	535
5	4961	535

prune42.0ms (1.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	38	6	44

Error

0.0b

Counts

44 → 6

Compiler

Compiled 1029 to 351 computations (65.9% saved)

regimes245.0ms (6.6%)

Accuracy

Total 0.1b remaining (93.2%)

Threshold costs 0.1b (93.2%)

Compiler

Compiled 2326 to 1498 computations (35.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64_350`
5×	`+-commutative_binary64_349`
4×	`neg-mul-1_binary64_415` `neg-sub0_binary64_414` `sub-neg_binary64_412` `distribute-rgt-neg-in_binary64_377` `distribute-lft-neg-in_binary64_376`
2×	`cancel-sign-sub-inv_binary64_385`
1×	`unsub-neg_binary64_413`
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` `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` `distribute-lft-neg-out_binary64_378`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	19	13
2	32	13
3	39	13
4	43	13
5	44	13
6	44	13

end0.0ms (0%)

sample1.0s (27.4%)

Algorithm

1×

intervals

Results

174.0ms	8000×	body	128	valid
3.0ms	152×	body	128	invalid

Compiler

Compiled 757 to 486 computations (35.8% saved)

Iter	Nodes	Cost
0	10	20
1	22	20
2	63	20
3	111	20
4	204	20
5	270	20
6	347	20
7	638	20
8	569	20
9	535	20
10	535	20
11	535	20
12	468	20
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	10
1	15	10
2	37	10
3	66	10
4	124	10
5	163	10
6	201	10
7	373	10
8	336	10
9	319	10
10	268	10

Iter	Nodes	Cost
0	10	20
1	22	20
2	63	20
3	111	20
4	204	20
5	270	20
6	347	20
7	638	20
8	569	20
9	535	20
10	535	20
11	535	20
12	468	20
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	10
1	15	10
2	37	10
3	66	10
4	124	10
5	163	10
6	201	10
7	373	10
8	336	10
9	319	10
10	268	10

Details

analyze229.0ms (6.2%)

sample13.0ms (0.4%)

simplify24.0ms (0.7%)

prune1.0ms (0%)

localize4.0ms (0.1%)

rewrite42.0ms (1.1%)

series150.0ms (4.1%)

simplify82.0ms (2.2%)

prune32.0ms (0.9%)

localize5.0ms (0.1%)

rewrite40.0ms (1.1%)

series232.0ms (6.3%)

simplify79.0ms (2.1%)

prune33.0ms (0.9%)

localize10.0ms (0.3%)

rewrite88.0ms (2.4%)

series455.0ms (12.3%)

simplify99.0ms (2.7%)

prune52.0ms (1.4%)

localize16.0ms (0.4%)

rewrite86.0ms (2.3%)

series567.0ms (15.3%)

simplify58.0ms (1.6%)

prune42.0ms (1.1%)

regimes245.0ms (6.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.0s (27.4%)

Profiling

Iter	Nodes	Cost
0	10	20
1	22	20
2	63	20
3	111	20
4	204	20
5	270	20
6	347	20
7	638	20
8	569	20
9	535	20
10	535	20
11	535	20
12	468	20
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	10
1	15	10
2	37	10
3	66	10
4	124	10
5	163	10
6	201	10
7	373	10
8	336	10
9	319	10
10	268	10