Details

analyze156.0ms (2.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

15×	`sub-neg_binary64_412`
14×	`cancel-sign-sub-inv_binary64_385`
10×	`distribute-rgt-in_binary64_369`
9×	`neg-mul-1_binary64_415`
8×	`associate--r+_binary64_355`
7×	`unsub-neg_binary64_413`
6×	`neg-sub0_binary64_414`
5×	`distribute-neg-in_binary64_380` `distribute-lft-neg-out_binary64_378` `distribute-rgt-neg-in_binary64_377` `distribute-lft-in_binary64_368` `associate--r-_binary64_358` `+-commutative_binary64_349`
4×	`*-lft-identity_binary64_408` `sub0-neg_binary64_406` `associate-+l-_binary64_354`
3×	`+-lft-identity_binary64_403` `distribute-rgt-neg-out_binary64_379` `associate-+l+_binary64_352` `*-commutative_binary64_350`
2×	`*-rgt-identity_binary64_409`
1×	`1-exp_binary64_463` `remove-double-neg_binary64_407` `--rgt-identity_binary64_405` `+-rgt-identity_binary64_404` `distribute-lft-neg-in_binary64_376` `associate--l+_binary64_356` `associate-+r-_binary64_353` `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` `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` `sqr-neg_binary64_433` `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` `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` `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` `swap-sqr_binary64_386` `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-rgt-out--_binary64_373` `distribute-rgt-out_binary64_372` `distribute-lft-out--_binary64_371` `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_360` `associate-r*_binary64_359` `associate--l-_binary64_357`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample21.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	62×	body	1024	valid
3.0ms	137×	body	128	valid
2.0ms	31×	body	512	valid
1.0ms	21×	body	256	valid
1.0ms	5×	body	2048	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

15×	`sub-neg_binary64_412`
14×	`cancel-sign-sub-inv_binary64_385`
10×	`distribute-rgt-in_binary64_369`
9×	`neg-mul-1_binary64_415`
8×	`associate--r+_binary64_355`
7×	`unsub-neg_binary64_413`
6×	`neg-sub0_binary64_414`
5×	`distribute-neg-in_binary64_380` `distribute-lft-neg-out_binary64_378` `distribute-rgt-neg-in_binary64_377` `distribute-lft-in_binary64_368` `associate--r-_binary64_358` `+-commutative_binary64_349`
4×	`*-lft-identity_binary64_408` `sub0-neg_binary64_406` `associate-+l-_binary64_354`
3×	`+-lft-identity_binary64_403` `distribute-rgt-neg-out_binary64_379` `associate-+l+_binary64_352` `*-commutative_binary64_350`
2×	`*-rgt-identity_binary64_409`
1×	`1-exp_binary64_463` `remove-double-neg_binary64_407` `--rgt-identity_binary64_405` `+-rgt-identity_binary64_404` `distribute-lft-neg-in_binary64_376` `associate--l+_binary64_356` `associate-+r-_binary64_353` `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` `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` `sqr-neg_binary64_433` `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` `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` `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` `swap-sqr_binary64_386` `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-rgt-out--_binary64_373` `distribute-rgt-out_binary64_372` `distribute-lft-out--_binary64_371` `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_360` `associate-r*_binary64_359` `associate--l-_binary64_357`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11

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

29.9b

Counts

1 → 1

Compiler

Compiled 7 to 6 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.5b	(cbrt.f64 x)
4.0b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite88.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

29.3b

Rules

18×	`cbrt-prod_binary64_450`
16×	`*-un-lft-identity_binary64_419`
15×	`add-sqr-sqrt_binary64_441`
7×	`add-cube-cbrt_binary64_454`
6×	`cancel-sign-sub-inv_binary64_385`
5×	`add-log-exp_binary64_458`
4×	`difference-of-squares_binary64_388`
3×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `distribute-lft-out--_binary64_371`
2×	`distribute-lft-out_binary64_370` `pow1/3_binary64_501` `cbrt-div_binary64_451`
1×	`diff-log_binary64_511` `flip3--_binary64_423` `sub-neg_binary64_412` `flip--_binary64_394` `flip3-+_binary64_422` `flip-+_binary64_393`

Counts

3 → 49

Calls

3 calls:

9.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
3.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)

Compiler

Compiled 676 to 421 computations (37.7% saved)

series271.0ms (4.3%)

Error

16.1b

Counts

3 → 17

Calls

3 calls:

114.0ms	(cbrt.f64 x)
95.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
44.0ms	(cbrt.f64 (+.f64 x 1))

Compiler

Compiled 560 to 482 computations (13.9% saved)

simplify123.0ms (2%)

Algorithm

1×	egg-herbie

Rules

438×	`associate-l_binary64_360`
411×	`associate-r_binary64_359`
269×	`distribute-rgt-neg-in_binary64_377`
254×	`distribute-lft-neg-in_binary64_376`
214×	`difference-of-squares_binary64_388`
209×	`log-prod_binary64_505`
177×	`sub-neg_binary64_412`
107×	`*-commutative_binary64_350`
95×	`cancel-sign-sub-inv_binary64_385`
93×	`cube-prod_binary64_447`
78×	`sqr-pow_binary64_391` `+-commutative_binary64_349`
77×	`distribute-lft-neg-out_binary64_378`
70×	`distribute-rgt-neg-out_binary64_379`
65×	`log-pow_binary64_508`
62×	`unswap-sqr_binary64_387`
61×	`exp-prod_binary64_471`
60×	`distribute-rgt-in_binary64_369`
57×	`unsub-neg_binary64_413`
55×	`distribute-lft-in_binary64_368`
54×	`unpow3_binary64_485` `neg-sub0_binary64_414`
53×	`swap-sqr_binary64_386`
51×	`associate-/r*_binary64_363`
49×	`log-div_binary64_506` `associate--l+_binary64_356`
48×	`exp-sum_binary64_465` `neg-mul-1_binary64_415`
44×	`distribute-neg-in_binary64_380`
42×	`associate-+l+_binary64_352` `associate-+r+_binary64_351`
35×	`pow-plus_binary64_482`
32×	`associate-+l-_binary64_354`
25×	`associate-+r-_binary64_353`
24×	`*-rgt-identity_binary64_409`
20×	`exp-diff_binary64_467`
19×	`*-lft-identity_binary64_408` `sub0-neg_binary64_406`
18×	`distribute-rgt-out_binary64_372` `associate--r+_binary64_355`
17×	`+-rgt-identity_binary64_404` `distribute-rgt-out--_binary64_373`
16×	`cube-unmult_binary64_456` `pow-sqr_binary64_392`
11×	`div-sub_binary64_424` `difference-of-sqr--1_binary64_390`
10×	`mul0-rgt_binary64_402` `mul0-lft_binary64_401` `difference-of-sqr-1_binary64_389` `distribute-lft-out_binary64_370`
9×	`mul-1-neg_binary64_411` `+-inverses_binary64_398`
8×	`exp-to-pow_binary64_481`
7×	`unpow1/3_binary64_486` `rem-sqrt-square_binary64_432`
6×	`distribute-rgt1-in_binary64_375` `distribute-lft-out--_binary64_371`
4×	`cube-mult_binary64_449` `+-lft-identity_binary64_403`
3×	`exp-lft-cube_binary64_475` `rem-3cbrt-lft_binary64_444` `associate--r-_binary64_358`
2×	`log-rec_binary64_507` `unpow2_binary64_484` `exp-neg_binary64_466` `rem-exp-log_binary64_459` `cancel-sign-sub_binary64_384` `distribute-neg-out_binary64_381` `count-2_binary64_367`
1×	`unpow1/2_binary64_483` `unpow1_binary64_477` `div-exp_binary64_470` `1-exp_binary64_463` `rem-cube-cbrt_binary64_442` `sqr-neg_binary64_433` `rem-square-sqrt_binary64_431` `remove-double-neg_binary64_407`
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` `pow-base-1_binary64_479` `unpow0_binary64_478` `unpow-1_binary64_476` `exp-lft-sqr_binary64_474` `exp-cbrt_binary64_473` `exp-sqrt_binary64_472` `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` `cube-div_binary64_448` `cube-neg_binary64_446` `rem-3cbrt-rft_binary64_445` `rem-cbrt-cube_binary64_443` `sqr-abs_binary64_434` `times-frac_binary64_425` `/-rgt-identity_binary64_410` `--rgt-identity_binary64_405` `div0_binary64_400` `-inverses_binary64_399` `lft-mult-inverse_binary64_397` `rgt-mult-inverse_binary64_396` `remove-double-div_binary64_395` `distribute-neg-frac_binary64_383` `distribute-frac-neg_binary64_382` `distribute-lft1-in_binary64_374` `associate-/l/_binary64_366` `associate-/r/_binary64_365` `associate-/l_binary64_364` `associate-l/_binary64_362` `associate-r/_binary64_361` `associate--l-_binary64_357`

Counts

66 → 50

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	875
1	275	840
2	698	815
3	2800	808
4	4751	808
5	4991	808
6	4818	808

prune62.0ms (1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	41	9	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	9	51

Error

9.8b

Counts

51 → 9

Compiler

Compiled 740 to 508 computations (31.4% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 1 x))
0.5b	(cbrt.f64 x)
3.5b	(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))
4.0b	(-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))

rewrite122.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

9.8b

Rules

29×	`cbrt-prod_binary64_450`
28×	`add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
12×	`add-cube-cbrt_binary64_454` `cancel-sign-sub-inv_binary64_385`
11×	`log-pow_binary64_508`
10×	`exp-prod_binary64_471` `log-prod_binary64_505`
8×	`difference-of-squares_binary64_388`
7×	`exp-sum_binary64_465`
6×	`add-log-exp_binary64_458` `distribute-lft-out--_binary64_371`
5×	`pow1_binary64_480`
4×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
3×	`distribute-lft-out_binary64_370`
2×	`sub-neg_binary64_412` `pow1/3_binary64_501` `cbrt-div_binary64_451`
1×	`diff-log_binary64_511` `flip3--_binary64_423` `flip--_binary64_394` `exp-diff_binary64_467` `log-div_binary64_506` `rem-log-exp_binary64_460` `flip3-+_binary64_422` `flip-+_binary64_393`

Counts

4 → 79

Calls

4 calls:

11.0ms	(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))
10.0ms	(-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))
3.0ms	(cbrt.f64 (+.f64 1 x))
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1287 to 855 computations (33.6% saved)

series411.0ms (6.6%)

Error

9.8b

Counts

4 → 24

Calls

4 calls:

134.0ms	(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))
105.0ms	(-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))
103.0ms	(cbrt.f64 x)
45.0ms	(cbrt.f64 (+.f64 1 x))

Compiler

Compiled 921 to 815 computations (11.5% saved)

simplify117.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

487×	`associate-l_binary64_360`
438×	`associate-r_binary64_359`
233×	`sub-neg_binary64_412`
220×	`difference-of-squares_binary64_388`
209×	`log-pow_binary64_508`
165×	`exp-prod_binary64_471`
163×	`log-prod_binary64_505`
161×	`sqr-pow_binary64_391`
149×	`cancel-sign-sub-inv_binary64_385`
109×	`*-commutative_binary64_350`
99×	`exp-sum_binary64_465`
93×	`cube-prod_binary64_447`
92×	`+-commutative_binary64_349`
79×	`associate-+l+_binary64_352`
69×	`neg-sub0_binary64_414`
61×	`neg-mul-1_binary64_415` `unsub-neg_binary64_413`
59×	`associate-+r+_binary64_351`
57×	`associate--l+_binary64_356` `associate-+l-_binary64_354`
56×	`unswap-sqr_binary64_387`
51×	`associate-/r*_binary64_363`
49×	`distribute-rgt-in_binary64_369`
47×	`distribute-lft-in_binary64_368`
45×	`exp-diff_binary64_467`
44×	`log-div_binary64_506` `pow-sqr_binary64_392` `distribute-rgt-neg-in_binary64_377` `associate-+r-_binary64_353`
39×	`rem-log-exp_binary64_460`
32×	`distribute-lft-neg-in_binary64_376`
24×	`exp-to-pow_binary64_481`
23×	`*-rgt-identity_binary64_409` `+-rgt-identity_binary64_404`
22×	`div-sub_binary64_424` `*-lft-identity_binary64_408` `distribute-rgt-out_binary64_372`
21×	`sub0-neg_binary64_406`
18×	`difference-of-sqr-1_binary64_389`
17×	`pow-plus_binary64_482` `distribute-lft-neg-out_binary64_378` `associate--r+_binary64_355`
16×	`cube-unmult_binary64_456` `distribute-rgt-out--_binary64_373`
15×	`distribute-lft-out_binary64_370`
13×	`unpow3_binary64_485`
12×	`exp-neg_binary64_466`
10×	`mul0-rgt_binary64_402` `mul0-lft_binary64_401`
9×	`log-rec_binary64_507` `+-inverses_binary64_398` `swap-sqr_binary64_386`
8×	`distribute-neg-in_binary64_380` `distribute-rgt-neg-out_binary64_379`
7×	`rem-sqrt-square_binary64_432` `distribute-rgt1-in_binary64_375`
6×	`distribute-lft-out--_binary64_371` `associate--l-_binary64_357`
5×	`unpow1/3_binary64_486` `mul-1-neg_binary64_411`
4×	`rem-exp-log_binary64_459` `cube-mult_binary64_449` `+-lft-identity_binary64_403` `associate-/l*_binary64_364` `associate--r-_binary64_358`
3×	`rem-3cbrt-lft_binary64_444` `remove-double-neg_binary64_407` `difference-of-sqr--1_binary64_390` `count-2_binary64_367`
2×	`times-frac_binary64_425` `associate-*r/_binary64_361`
1×	`unpow2_binary64_484` `unpow1/2_binary64_483` `unpow1_binary64_477` `exp-lft-cube_binary64_475` `div-exp_binary64_470` `1-exp_binary64_463` `exp-1-e_binary64_462` `rem-cube-cbrt_binary64_442` `sqr-neg_binary64_433` `rem-square-sqrt_binary64_431` `--rgt-identity_binary64_405` `distribute-lft1-in_binary64_374`
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` `pow-base-1_binary64_479` `unpow0_binary64_478` `unpow-1_binary64_476` `exp-lft-sqr_binary64_474` `exp-cbrt_binary64_473` `exp-sqrt_binary64_472` `rec-exp_binary64_469` `prod-exp_binary64_468` `e-exp-1_binary64_464` `exp-0_binary64_461` `cube-div_binary64_448` `cube-neg_binary64_446` `rem-3cbrt-rft_binary64_445` `rem-cbrt-cube_binary64_443` `sqr-abs_binary64_434` `/-rgt-identity_binary64_410` `div0_binary64_400` `-inverses_binary64_399` `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-/l/_binary64_366` `associate-/r/_binary64_365` `associate-l/_binary64_362`

Counts

103 → 66

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	177	1473
1	364	1397
2	897	1360
3	3380	1346
4	4966	1346
5	4914	1346

prune65.0ms (1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	66	9	75

Error

9.8b

Counts

75 → 9

Compiler

Compiled 987 to 669 computations (32.2% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 1 x))
0.3b	(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (+.f64 1 x))))
0.5b	(cbrt.f64 x)
19.3b	(-.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 x))

rewrite272.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

9.8b

Rules

80×	`cbrt-prod_binary64_450`
38×	`add-sqr-sqrt_binary64_441`
36×	`*-un-lft-identity_binary64_419`
26×	`cbrt-div_binary64_451`
20×	`add-cube-cbrt_binary64_454`
12×	`swap-sqr_binary64_386`
11×	`pow1_binary64_480`
10×	`associate-l_binary64_360` `associate-r_binary64_359`
9×	`unswap-sqr_binary64_387`
8×	`pow1/3_binary64_501`
7×	`flip3-+_binary64_422` `flip-+_binary64_393` `distribute-lft-out_binary64_370`
6×	`add-log-exp_binary64_458` `add-exp-log_binary64_457` `cancel-sign-sub-inv_binary64_385`
4×	`add-cbrt-cube_binary64_455` `frac-times_binary64_429`
2×	`pow-prod-down_binary64_490` `pow-prod-up_binary64_489` `pow-sqr_binary64_392` `associate-l/_binary64_362` `associate-r/_binary64_361`
1×	`diff-log_binary64_511` `flip3--_binary64_423` `sub-neg_binary64_412` `flip--_binary64_394` `pow2_binary64_500` `pow-plus_binary64_482` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `*-commutative_binary64_350`

Counts

4 → 109

Calls

4 calls:

24.0ms	(-.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 x))
16.0ms	(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (+.f64 1 x))))
3.0ms	(cbrt.f64 (+.f64 1 x))
1.0ms	(cbrt.f64 x)

Compiler

Compiled 3293 to 2540 computations (22.9% saved)

series377.0ms (6%)

Error

9.8b

Counts

4 → 25

Calls

4 calls:

117.0ms	(cbrt.f64 x)
104.0ms	(-.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 x))
70.0ms	(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (+.f64 1 x))))
52.0ms	(cbrt.f64 (+.f64 1 x))

Compiler

Compiled 1245 to 1053 computations (15.4% saved)

simplify139.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

422×	`cancel-sign-sub-inv_binary64_385`
285×	`difference-of-squares_binary64_388`
240×	`*-commutative_binary64_350`
190×	`sub-neg_binary64_412`
167×	`log-prod_binary64_505`
146×	`exp-prod_binary64_471`
140×	`exp-sum_binary64_465` `distribute-rgt-neg-in_binary64_377`
136×	`sqr-pow_binary64_391`
124×	`distribute-lft-neg-in_binary64_376`
122×	`unswap-sqr_binary64_387`
108×	`associate-l_binary64_360`
104×	`associate-r_binary64_359`
86×	`+-commutative_binary64_349`
81×	`distribute-rgt-out_binary64_372`
70×	`cube-prod_binary64_447`
64×	`distribute-rgt-out--_binary64_373`
59×	`unsub-neg_binary64_413`
58×	`associate--l+_binary64_356`
57×	`neg-mul-1_binary64_415`
56×	`neg-sub0_binary64_414` `associate-+r+_binary64_351`
55×	`exp-diff_binary64_467`
54×	`associate-/r*_binary64_363`
52×	`swap-sqr_binary64_386` `distribute-rgt-in_binary64_369`
50×	`distribute-lft-in_binary64_368` `associate-+l+_binary64_352`
49×	`log-div_binary64_506`
45×	`distribute-neg-in_binary64_380`
44×	`unpow3_binary64_485`
40×	`log-pow_binary64_508`
36×	`distribute-lft-out_binary64_370`
34×	`pow-sqr_binary64_392`
33×	`associate-+l-_binary64_354`
32×	`pow-plus_binary64_482`
28×	`distribute-lft-neg-out_binary64_378`
26×	`associate-+r-_binary64_353`
20×	`rem-sqrt-square_binary64_432` `+-rgt-identity_binary64_404` `distribute-rgt-neg-out_binary64_379`
19×	`associate--r+_binary64_355`
18×	`sub0-neg_binary64_406` `difference-of-sqr-1_binary64_389`
16×	`*-lft-identity_binary64_408`
15×	`*-rgt-identity_binary64_409`
13×	`cube-unmult_binary64_456` `distribute-lft-out--_binary64_371`
12×	`distribute-rgt1-in_binary64_375`
11×	`exp-to-pow_binary64_481` `div-sub_binary64_424`
10×	`mul0-rgt_binary64_402` `mul0-lft_binary64_401`
9×	`+-inverses_binary64_398`
7×	`unpow1/3_binary64_486`
6×	`unpow2_binary64_484`
5×	`cube-mult_binary64_449` `rem-3cbrt-lft_binary64_444` `associate-/l*_binary64_364`
4×	`unpow1/2_binary64_483` `+-lft-identity_binary64_403` `distribute-lft1-in_binary64_374` `count-2_binary64_367`
3×	`exp-lft-cube_binary64_475` `prod-exp_binary64_468` `exp-neg_binary64_466` `times-frac_binary64_425` `difference-of-sqr--1_binary64_390` `associate--r-_binary64_358`
2×	`log-rec_binary64_507` `rec-exp_binary64_469` `rem-exp-log_binary64_459` `rem-square-sqrt_binary64_431` `mul-1-neg_binary64_411` `distribute-neg-out_binary64_381`
1×	`unpow1_binary64_477` `div-exp_binary64_470` `1-exp_binary64_463` `exp-1-e_binary64_462` `rem-3cbrt-rft_binary64_445` `rem-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `sqr-neg_binary64_433` `remove-double-neg_binary64_407`
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` `pow-base-1_binary64_479` `unpow0_binary64_478` `unpow-1_binary64_476` `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` `cube-div_binary64_448` `cube-neg_binary64_446` `sqr-abs_binary64_434` `/-rgt-identity_binary64_410` `--rgt-identity_binary64_405` `div0_binary64_400` `-inverses_binary64_399` `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` `associate-/l/_binary64_366` `associate-/r/_binary64_365` `associate-l/_binary64_362` `associate-*r/_binary64_361` `associate--l-_binary64_357`

Counts

134 → 95

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	197	2599
1	405	2446
2	1085	2253
3	2318	2234
4	4585	2147
5	4770	2147

prune155.0ms (2.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	92	3	95
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	94	10	104

Error

9.8b

Counts

104 → 10

Compiler

Compiled 2298 to 1745 computations (24.1% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 2))
0.3b	(cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 2))
0.5b	(cbrt.f64 x)
23.7b	(-.f64 (.f64 (.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 x))

rewrite316.0ms (5.1%)

Algorithm

1×	rewrite-expression-head

Error

9.8b

Rules

58×	`cbrt-prod_binary64_450`
20×	`unpow-prod-down_binary64_498`
19×	`*-un-lft-identity_binary64_419`
15×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
6×	`add-log-exp_binary64_458` `cancel-sign-sub-inv_binary64_385`
4×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
3×	`pow1/3_binary64_501`
2×	`distribute-lft-out_binary64_370` `unpow2_binary64_484` `sqr-pow_binary64_391`
1×	`diff-log_binary64_511` `flip3--_binary64_423` `sub-neg_binary64_412` `flip--_binary64_394`

Counts

4 → 74

Calls

4 calls:

39.0ms	(-.f64 (.f64 (.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 x))
7.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 2))
7.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 2))
1.0ms	(cbrt.f64 x)

Compiler

Compiled 3498 to 2912 computations (16.8% saved)

series435.0ms (6.9%)

Error

9.8b

Counts

4 → 26

Calls

4 calls:

123.0ms	(cbrt.f64 x)
115.0ms	(-.f64 (.f64 (.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 x))
75.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 2))
69.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 2))

Compiler

Compiled 1964 to 1699 computations (13.5% saved)

simplify152.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

292×	`cancel-sign-sub-inv_binary64_385`
287×	`distribute-rgt-in_binary64_369`
263×	`exp-sum_binary64_465` `distribute-lft-in_binary64_368`
258×	`*-commutative_binary64_350`
232×	`exp-prod_binary64_471`
194×	`sqr-pow_binary64_391`
186×	`unswap-sqr_binary64_387`
140×	`sub-neg_binary64_412`
137×	`distribute-rgt-neg-in_binary64_377`
132×	`cube-prod_binary64_447`
130×	`distribute-lft-neg-in_binary64_376`
103×	`log-prod_binary64_505`
89×	`swap-sqr_binary64_386`
85×	`log-pow_binary64_508`
82×	`log-div_binary64_506`
79×	`unpow3_binary64_485`
77×	`distribute-rgt-out_binary64_372`
74×	`associate-r_binary64_359`
73×	`associate-l_binary64_360`
71×	`+-commutative_binary64_349`
55×	`neg-mul-1_binary64_415`
54×	`neg-sub0_binary64_414`
53×	`difference-of-squares_binary64_388`
52×	`unsub-neg_binary64_413`
50×	`exp-diff_binary64_467` `associate-/r*_binary64_363`
46×	`associate--l+_binary64_356`
45×	`pow-sqr_binary64_392`
43×	`distribute-lft-out_binary64_370`
37×	`associate-+l+_binary64_352`
36×	`pow-plus_binary64_482`
35×	`associate-+r+_binary64_351`
33×	`distribute-neg-in_binary64_380`
29×	`rem-sqrt-square_binary64_432`
24×	`distribute-lft-neg-out_binary64_378` `associate-+l-_binary64_354`
20×	`cube-mult_binary64_449` `distribute-rgt-neg-out_binary64_379`
18×	`cube-unmult_binary64_456` `associate-+r-_binary64_353`
17×	`+-rgt-identity_binary64_404` `associate--r+_binary64_355`
14×	`sub0-neg_binary64_406`
12×	`unpow2_binary64_484`
11×	`unpow1/2_binary64_483` `exp-to-pow_binary64_481` `unpow1_binary64_477`
10×	`mul0-rgt_binary64_402` `mul0-lft_binary64_401`
9×	`div-sub_binary64_424`
8×	`distribute-rgt-out--_binary64_373` `distribute-lft-out--_binary64_371`
7×	`unpow1/3_binary64_486`
4×	`log-rec_binary64_507` `times-frac_binary64_425`
3×	`exp-lft-cube_binary64_475` `prod-exp_binary64_468` `exp-neg_binary64_466` `rem-3cbrt-lft_binary64_444` `+-lft-identity_binary64_403` `associate--r-_binary64_358`
2×	`rec-exp_binary64_469` `rem-exp-log_binary64_459` `rem-3cbrt-rft_binary64_445` `rem-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `rem-square-sqrt_binary64_431` `mul-1-neg_binary64_411` `difference-of-sqr-1_binary64_389` `count-2_binary64_367` `associate-/l*_binary64_364`
1×	`div-exp_binary64_470` `1-exp_binary64_463` `sqr-neg_binary64_433` `*-lft-identity_binary64_408` `remove-double-neg_binary64_407` `+-inverses_binary64_398` `cancel-sign-sub_binary64_384` `distribute-neg-out_binary64_381`
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` `pow-base-1_binary64_479` `unpow0_binary64_478` `unpow-1_binary64_476` `exp-lft-sqr_binary64_474` `exp-cbrt_binary64_473` `exp-sqrt_binary64_472` `e-exp-1_binary64_464` `exp-1-e_binary64_462` `exp-0_binary64_461` `rem-log-exp_binary64_460` `cube-div_binary64_448` `cube-neg_binary64_446` `sqr-abs_binary64_434` `/-rgt-identity_binary64_410` `-rgt-identity_binary64_409` `--rgt-identity_binary64_405` `div0_binary64_400` `-inverses_binary64_399` `lft-mult-inverse_binary64_397` `rgt-mult-inverse_binary64_396` `remove-double-div_binary64_395` `difference-of-sqr--1_binary64_390` `distribute-neg-frac_binary64_383` `distribute-frac-neg_binary64_382` `distribute-rgt1-in_binary64_375` `distribute-lft1-in_binary64_374` `associate-/l/_binary64_366` `associate-/r/_binary64_365` `associate-l/_binary64_362` `associate-r/_binary64_361` `associate--l-_binary64_357`

Counts

100 → 62

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	159	2386
1	364	2153
2	968	2068
3	2252	1581
4	4196	1574
5	4921	1574
6	4870	1574

prune129.0ms (2.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	62	10	72

Error

9.8b

Counts

72 → 10

Compiler

Compiled 2054 to 1656 computations (19.4% saved)

regimes388.0ms (6.2%)

Accuracy

Total 0.5b remaining (4.8%)

Threshold costs 0.5b (4.8%)

Compiler

Compiled 3312 to 2739 computations (17.3% saved)

bsearch52.0ms (0.8%)

Steps

Iters	Range		Point
10	0.004649115901334205	23817336.16383811	0.02398425106893859
11	-3.1988890875607195e+22	-1.3022630607149237	-30244119.16774476

Compiler

Compiled 1 to 1 computations (0% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64_349`
4×	`*-commutative_binary64_350`
2×	`sub-neg_binary64_412`
1×	`1-exp_binary64_463` `neg-mul-1_binary64_415` `neg-sub0_binary64_414`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_679` `if-if-and_binary64_678` `if-if-or-not_binary64_677` `if-if-or_binary64_676` `if-not_binary64_675` `if-same_binary64_674` `if-false_binary64_673` `if-true_binary64_672` `tan-0_binary64_548` `cos-0_binary64_547` `sin-0_binary64_546` `unpow1_binary64_477` `e-exp-1_binary64_464` `exp-1-e_binary64_462` `exp-0_binary64_461` `sqr-abs_binary64_434` `sqr-neg_binary64_433` `unsub-neg_binary64_413` `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	30	75
1	38	75
2	42	75
3	44	75
4	45	75
5	44	75

end0.0ms (0%)

sample2.3s (37.5%)

Algorithm

1×

intervals

Results

204.0ms	2064×	body	1024	valid
114.0ms	4192×	body	128	valid
77.0ms	1047×	body	512	valid
26.0ms	212×	body	2048	valid
23.0ms	485×	body	256	valid

Compiler

Compiled 1655 to 1366 computations (17.5% saved)

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11
0	1	1
1	1	1

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11
0	1	1
1	1	1

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11

Details

analyze156.0ms (2.5%)

sample21.0ms (0.3%)

simplify12.0ms (0.2%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite88.0ms (1.4%)

series271.0ms (4.3%)

simplify123.0ms (2%)

prune62.0ms (1%)

localize8.0ms (0.1%)

rewrite122.0ms (1.9%)

series411.0ms (6.6%)

simplify117.0ms (1.9%)

prune65.0ms (1%)

localize12.0ms (0.2%)

rewrite272.0ms (4.3%)

series377.0ms (6%)

simplify139.0ms (2.2%)

prune155.0ms (2.5%)

localize18.0ms (0.3%)

rewrite316.0ms (5.1%)

series435.0ms (6.9%)

simplify152.0ms (2.4%)

prune129.0ms (2.1%)

regimes388.0ms (6.2%)

bsearch52.0ms (0.8%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample2.3s (37.5%)

Profiling

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11
0	1	1
1	1	1

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	22	11
4	28	11
5	43	11
6	65	11
7	77	11
8	89	11
9	91	11
10	85	11
11	71	11