Details

analyze150.0ms (3.6%)

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
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
50%	0%	50%	4

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample45.0ms (1.1%)

Algorithm

1×

intervals

Results

18.0ms	63×	body	1024	valid
7.0ms	130×	body	128	valid
6.0ms	36×	body	512	valid
4.0ms	11×	body	2048	valid
1.0ms	16×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify12.0ms (0.3%)

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

31.6b

Counts

1 → 1

Compiler

Compiled 7 to 6 computations (14.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

3.0b	(log.f64 (+.f64 N 1))
3.3b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

rewrite63.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

31.0b

Rules

14×	`*-un-lft-identity_binary64_419`
11×	`log-prod_binary64_505`
8×	`pow1_binary64_480` `add-sqr-sqrt_binary64_441`
6×	`add-cube-cbrt_binary64_454` `log-pow_binary64_508`
4×	`cancel-sign-sub-inv_binary64_385` `distribute-lft-out--_binary64_371` `log-div_binary64_506` `associate--l+_binary64_356`
3×	`add-exp-log_binary64_457` `associate--r+_binary64_355`
2×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455` `flip3-+_binary64_422` `associate--l-_binary64_357` `flip-+_binary64_393` `distribute-lft-out_binary64_370`
1×	`diff-log_binary64_511` `flip3--_binary64_423` `sub-neg_binary64_412` `flip--_binary64_394` `difference-of-squares_binary64_388` `rem-log-exp_binary64_460`

Counts

2 → 44

Calls

2 calls:

8.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
3.0ms	(log.f64 (+.f64 N 1))

Compiler

Compiled 607 to 404 computations (33.4% saved)

series143.0ms (3.4%)

Error

0.0b

Counts

2 → 20

Calls

2 calls:

81.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
41.0ms	(log.f64 (+.f64 N 1))

Compiler

Compiled 556 to 449 computations (19.2% saved)

simplify103.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

335×	`associate-+l-_binary64_354`
307×	`associate--l+_binary64_356`
289×	`associate--r-_binary64_358`
284×	`sub-neg_binary64_412`
184×	`associate-/r*_binary64_363`
176×	`associate--l-_binary64_357`
140×	`unsub-neg_binary64_413`
133×	`cancel-sign-sub-inv_binary64_385` `associate-r_binary64_359`
130×	`exp-sum_binary64_465`
125×	`associate-l_binary64_360`
124×	`log-prod_binary64_505`
116×	`div-sub_binary64_424`
87×	`distribute-rgt-neg-in_binary64_377`
85×	`exp-prod_binary64_471`
84×	`times-frac_binary64_425`
78×	`+-commutative_binary64_349`
77×	`distribute-lft-neg-out_binary64_378`
74×	`cube-prod_binary64_447` `distribute-rgt-neg-out_binary64_379`
73×	`distribute-neg-in_binary64_380`
72×	`exp-diff_binary64_467`
65×	`distribute-rgt-in_binary64_369`
64×	`associate-*l/_binary64_362`
59×	`log-div_binary64_506` `distribute-lft-neg-in_binary64_376`
53×	`distribute-lft-in_binary64_368`
52×	`distribute-rgt-out_binary64_372` `associate--r+_binary64_355`
51×	`*-commutative_binary64_350`
49×	`associate-+r-_binary64_353` `associate-+l+_binary64_352`
47×	`associate-+r+_binary64_351`
45×	`log-pow_binary64_508` `neg-sub0_binary64_414` `associate-*r/_binary64_361`
41×	`unswap-sqr_binary64_387`
39×	`neg-mul-1_binary64_415` `sqr-pow_binary64_391` `associate-/l*_binary64_364`
32×	`distribute-neg-frac_binary64_383` `associate-/l/_binary64_366`
31×	`sub0-neg_binary64_406`
28×	`distribute-rgt-out--_binary64_373`
24×	`distribute-lft-out_binary64_370`
21×	`prod-exp_binary64_468`
19×	`+-rgt-identity_binary64_404`
18×	`--rgt-identity_binary64_405`
17×	`div-exp_binary64_470` `swap-sqr_binary64_386` `associate-/r/_binary64_365`
16×	`difference-of-squares_binary64_388`
15×	`log-rec_binary64_507`
14×	`unpow3_binary64_485`
12×	`cube-unmult_binary64_456`
11×	`pow-plus_binary64_482` `*-rgt-identity_binary64_409` `distribute-rgt1-in_binary64_375`
10×	`rem-sqrt-square_binary64_432` `distribute-lft-out--_binary64_371`
9×	`rec-exp_binary64_469` `*-lft-identity_binary64_408` `pow-sqr_binary64_392`
8×	`exp-to-pow_binary64_481` `cube-div_binary64_448`
7×	`rem-log-exp_binary64_460` `mul0-rgt_binary64_402` `mul0-lft_binary64_401`
6×	`rem-exp-log_binary64_459` `sqr-neg_binary64_433` `mul-1-neg_binary64_411`
5×	`cancel-sign-sub_binary64_384` `count-2_binary64_367`
4×	`cube-mult_binary64_449` `remove-double-neg_binary64_407`
3×	`cube-neg_binary64_446`
2×	`/-rgt-identity_binary64_410` `+-inverses_binary64_398` `difference-of-sqr-1_binary64_389` `distribute-lft1-in_binary64_374`
1×	`log-E_binary64_509` `unpow2_binary64_484` `unpow1/2_binary64_483` `unpow1_binary64_477` `1-exp_binary64_463` `exp-1-e_binary64_462` `rem-3cbrt-lft_binary64_444` `rem-square-sqrt_binary64_431` `+-lft-identity_binary64_403` `difference-of-sqr--1_binary64_390` `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` `pow-base-0_binary64_503` `unpow1/3_binary64_486` `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-0_binary64_461` `rem-3cbrt-rft_binary64_445` `rem-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `sqr-abs_binary64_434` `div0_binary64_400` `*-inverses_binary64_399` `lft-mult-inverse_binary64_397` `rgt-mult-inverse_binary64_396` `remove-double-div_binary64_395` `distribute-frac-neg_binary64_382`

Counts

64 → 36

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	904
1	256	860
2	561	851
3	1812	831
4	4306	831
5	4891	831
6	4943	831

prune38.0ms (0.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	3	37

Error

0.0b

Counts

37 → 3

Compiler

Compiled 488 to 305 computations (37.5% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
0.2b	(/.f64 1/2 (*.f64 N N))
0.8b	(/.f64 1/3 (pow.f64 N 3))
11.6b	(+.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) (/.f64 1/3 (pow.f64 N 3)))

rewrite282.0ms (6.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

52×	`times-frac_binary64_425`
49×	`add-sqr-sqrt_binary64_441`
47×	`*-un-lft-identity_binary64_419`
35×	`add-cube-cbrt_binary64_454`
14×	`add-exp-log_binary64_457` `cancel-sign-sub-inv_binary64_385`
13×	`associate-/r*_binary64_363`
12×	`unpow-prod-down_binary64_498` `cube-prod_binary64_447`
11×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455`
8×	`associate-+l+_binary64_352`
6×	`div-inv_binary64_416` `associate-/l*_binary64_364` `difference-of-squares_binary64_388`
5×	`div-exp_binary64_470`
4×	`pow1_binary64_480` `distribute-lft-out--_binary64_371` `unpow3_binary64_485` `cube-mult_binary64_449` `sqr-pow_binary64_391`
3×	`frac-add_binary64_427` `distribute-lft-out_binary64_370` `cbrt-undiv_binary64_453`
2×	`diff-log_binary64_511` `sum-log_binary64_510` `frac-sub_binary64_428` `flip3--_binary64_423` `flip--_binary64_394` `sub-neg_binary64_412` `frac-2neg_binary64_430` `clear-num_binary64_418`
1×	`flip3-+_binary64_422` `flip-+_binary64_393` `associate-+l-_binary64_354` `+-commutative_binary64_349` `pow-to-exp_binary64_488` `pow-exp_binary64_487` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`

Counts

4 → 140

Calls

4 calls:

42.0ms	(+.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) (/.f64 1/3 (pow.f64 N 3)))
12.0ms	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
6.0ms	(/.f64 1/3 (pow.f64 N 3))
5.0ms	(/.f64 1/2 (*.f64 N N))

Compiler

Compiled 3338 to 2324 computations (30.4% saved)

series249.0ms (6%)

Error

0.0b

Counts

4 → 19

Calls

4 calls:

82.0ms	(+.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) (/.f64 1/3 (pow.f64 N 3)))
67.0ms	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
43.0ms	(/.f64 1/3 (pow.f64 N 3))
41.0ms	(/.f64 1/2 (*.f64 N N))

Compiler

Compiled 676 to 570 computations (15.7% saved)

simplify126.0ms (3%)

Algorithm

1×	egg-herbie

Rules

471×	`unswap-sqr_binary64_387`
316×	`distribute-rgt-in_binary64_369`
242×	`cancel-sign-sub-inv_binary64_385`
216×	`log-prod_binary64_505`
204×	`associate-/r*_binary64_363`
174×	`distribute-rgt-neg-in_binary64_377`
171×	`exp-prod_binary64_471`
154×	`distribute-lft-neg-in_binary64_376`
127×	`associate-l_binary64_360`
121×	`associate-r_binary64_359`
110×	`distribute-neg-frac_binary64_383`
89×	`log-div_binary64_506`
79×	`cube-prod_binary64_447`
76×	`times-frac_binary64_425`
75×	`associate-/l*_binary64_364`
68×	`unpow3_binary64_485`
65×	`sub-neg_binary64_412`
58×	`distribute-rgt-out_binary64_372`
56×	`*-commutative_binary64_350`
49×	`associate-*l/_binary64_362`
46×	`neg-sub0_binary64_414`
45×	`neg-mul-1_binary64_415`
44×	`sqr-pow_binary64_391`
43×	`+-commutative_binary64_349`
42×	`associate-*r/_binary64_361`
40×	`cube-div_binary64_448`
38×	`swap-sqr_binary64_386`
37×	`distribute-lft-neg-out_binary64_378`
34×	`distribute-lft-in_binary64_368`
33×	`distribute-lft-out_binary64_370`
28×	`div-sub_binary64_424`
27×	`distribute-frac-neg_binary64_382`
23×	`pow-plus_binary64_482`
22×	`distribute-rgt-out--_binary64_373`
21×	`log-pow_binary64_508` `distribute-neg-in_binary64_380`
20×	`distribute-rgt-neg-out_binary64_379`
16×	`associate-/l/_binary64_366`
12×	`*-lft-identity_binary64_408` `distribute-lft-out--_binary64_371`
11×	`cube-mult_binary64_449` `/-rgt-identity_binary64_410` `associate-/r/_binary64_365`
10×	`log-rec_binary64_507` `exp-sum_binary64_465`
9×	`unsub-neg_binary64_413`
8×	`*-rgt-identity_binary64_409` `pow-sqr_binary64_392` `associate-+r-_binary64_353`
7×	`cube-unmult_binary64_456` `rem-sqrt-square_binary64_432` `distribute-rgt1-in_binary64_375`
5×	`exp-diff_binary64_467` `+-rgt-identity_binary64_404` `associate-+l+_binary64_352`
4×	`difference-of-squares_binary64_388` `associate-+l-_binary64_354`
3×	`unpow1/2_binary64_483` `associate--l+_binary64_356` `associate--r+_binary64_355` `associate-+r+_binary64_351`
2×	`div-exp_binary64_470` `prod-exp_binary64_468` `rem-square-sqrt_binary64_431`
1×	`unpow1/3_binary64_486` `unpow2_binary64_484` `unpow1_binary64_477` `1-exp_binary64_463` `rem-3cbrt-lft_binary64_444` `rem-cbrt-cube_binary64_443` `rem-cube-cbrt_binary64_442` `remove-double-neg_binary64_407` `lft-mult-inverse_binary64_397` `rgt-mult-inverse_binary64_396` `distribute-neg-out_binary64_381` `distribute-lft1-in_binary64_374` `count-2_binary64_367` `associate--r-_binary64_358` `associate--l-_binary64_357`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_682` `erf-erfc_binary64_681` `erf-odd_binary64_680` `if-if-and-not_binary64_679` `if-if-and_binary64_678` `if-if-or-not_binary64_677` `if-if-or_binary64_676` `if-not_binary64_675` `if-same_binary64_674` `if-false_binary64_673` `if-true_binary64_672` `not-gte_binary64_671` `not-lte_binary64_670` `not-gt_binary64_669` `not-lt_binary64_668` `gte-same_binary64_667` `lte-same_binary64_666` `gt-same_binary64_665` `lt-same_binary64_664` `sinh---cosh_binary64_611` `sinh-+-cosh_binary64_610` `sinh-cosh_binary64_609` `tanh-def-c_binary64_608` `tanh-def-b_binary64_607` `tanh-def-a_binary64_606` `cosh-def_binary64_605` `sinh-def_binary64_604` `tan-neg_binary64_551` `cos-neg_binary64_550` `sin-neg_binary64_549` `tan-0_binary64_548` `cos-0_binary64_547` `sin-0_binary64_546` `hang-m-tan_binary64_545` `hang-p-tan_binary64_544` `hang-m0-tan_binary64_543` `hang-p0-tan_binary64_542` `hang-0m-tan_binary64_541` `hang-0p-tan_binary64_540` `tan-+PI/2_binary64_539` `tan-+PI_binary64_538` `tan-PI_binary64_537` `tan-PI/3_binary64_536` `tan-PI/4_binary64_535` `tan-PI/6_binary64_534` `cos-+PI/2_binary64_533` `cos-+PI_binary64_532` `cos-PI_binary64_531` `cos-PI/2_binary64_530` `cos-PI/3_binary64_529` `cos-PI/4_binary64_528` `cos-PI/6_binary64_527` `sin-+PI/2_binary64_526` `sin-+PI_binary64_525` `sin-PI_binary64_524` `sin-PI/2_binary64_523` `sin-PI/3_binary64_522` `sin-PI/4_binary64_521` `sin-PI/6_binary64_520` `sub-1-sin_binary64_519` `sub-1-cos_binary64_518` `-1-add-sin_binary64_517` `-1-add-cos_binary64_516` `1-sub-sin_binary64_515` `1-sub-cos_binary64_514` `cos-sin-sum_binary64_513` `log-E_binary64_509` `pow-base-0_binary64_503` `exp-to-pow_binary64_481` `pow-base-1_binary64_479` `unpow0_binary64_478` `unpow-1_binary64_476` `exp-lft-cube_binary64_475` `exp-lft-sqr_binary64_474` `exp-cbrt_binary64_473` `exp-sqrt_binary64_472` `rec-exp_binary64_469` `exp-neg_binary64_466` `e-exp-1_binary64_464` `exp-1-e_binary64_462` `exp-0_binary64_461` `rem-log-exp_binary64_460` `rem-exp-log_binary64_459` `cube-neg_binary64_446` `rem-3cbrt-rft_binary64_445` `sqr-abs_binary64_434` `sqr-neg_binary64_433` `mul-1-neg_binary64_411` `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_399` `+-inverses_binary64_398` `remove-double-div_binary64_395` `difference-of-sqr--1_binary64_390` `difference-of-sqr-1_binary64_389` `cancel-sign-sub_binary64_384`

Counts

159 → 105

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	231	2638
1	473	2538
2	1923	2496
3	4639	2454
4	5024	2454

prune131.0ms (3.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	104	4	108

Error

Counts

108 → 4

Compiler

Compiled 2171 to 1528 computations (29.6% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 N 1) N)
3.1b	(log.f64 (/.f64 (+.f64 N 1) N))

rewrite66.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

33×	`*-un-lft-identity_binary64_419`
24×	`times-frac_binary64_425`
19×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
16×	`log-prod_binary64_505`
7×	`distribute-lft-out_binary64_370` `add-exp-log_binary64_457`
4×	`add-cbrt-cube_binary64_455` `associate-/l*_binary64_364`
3×	`pow1_binary64_480` `associate-/r*_binary64_363`
2×	`div-inv_binary64_416` `div-exp_binary64_470` `rem-log-exp_binary64_460` `add-log-exp_binary64_458` `associate-/l/_binary64_366`
1×	`log-pow_binary64_508` `log-div_binary64_506` `cbrt-undiv_binary64_453` `frac-2neg_binary64_430` `clear-num_binary64_418` `flip3-+_binary64_422` `flip-+_binary64_393`

Counts

2 → 60

Calls

2 calls:

6.0ms	(/.f64 (+.f64 N 1) N)
5.0ms	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 810 to 553 computations (31.7% saved)

series138.0ms (3.3%)

Error

Counts

2 → 18

Calls

2 calls:

69.0ms	(log.f64 (/.f64 (+.f64 N 1) N))
55.0ms	(/.f64 (+.f64 N 1) N)

Compiler

Compiled 378 to 326 computations (13.8% saved)

simplify96.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

420×	`distribute-rgt-in_binary64_369`
395×	`associate-/l/_binary64_366`
375×	`distribute-lft-in_binary64_368`
367×	`prod-exp_binary64_468`
281×	`associate-*l/_binary64_362`
257×	`div-exp_binary64_470`
251×	`sub-neg_binary64_412`
177×	`associate-/r/_binary64_365` `associate-*r/_binary64_361`
170×	`times-frac_binary64_425`
151×	`cancel-sign-sub-inv_binary64_385`
127×	`log-div_binary64_506`
112×	`associate-/l_binary64_364` `associate-/r_binary64_363`
80×	`log-prod_binary64_505`
70×	`associate-l_binary64_360` `associate-r_binary64_359`
68×	`distribute-rgt-out_binary64_372`
52×	`associate-+l-_binary64_354`
50×	`+-commutative_binary64_349`
47×	`associate-+r-_binary64_353`
46×	`*-commutative_binary64_350`
44×	`exp-prod_binary64_471`
42×	`associate--l+_binary64_356`
41×	`associate--l-_binary64_357` `associate-+l+_binary64_352` `associate-+r+_binary64_351`
39×	`div-sub_binary64_424` `unsub-neg_binary64_413` `distribute-rgt-neg-in_binary64_377`
36×	`rec-exp_binary64_469`
32×	`distribute-neg-frac_binary64_383`
31×	`neg-mul-1_binary64_415` `neg-sub0_binary64_414` `unswap-sqr_binary64_387`
30×	`associate--r+_binary64_355`
29×	`distribute-lft-neg-in_binary64_376`
26×	`distribute-lft-out_binary64_370`
23×	`distribute-neg-in_binary64_380`
21×	`exp-sum_binary64_465` `sqr-pow_binary64_391`
19×	`distribute-rgt-out--_binary64_373`
18×	`swap-sqr_binary64_386`
16×	`exp-diff_binary64_467` `cube-prod_binary64_447` `distribute-lft-neg-out_binary64_378`
15×	`log-rec_binary64_507` `+-rgt-identity_binary64_404`
14×	`distribute-rgt-neg-out_binary64_379`
12×	`/-rgt-identity_binary64_410` `distribute-rgt1-in_binary64_375` `distribute-lft1-in_binary64_374`
10×	`*-rgt-identity_binary64_409` `sub0-neg_binary64_406`
9×	`unpow3_binary64_485` `distribute-lft-out--_binary64_371`
8×	`count-2_binary64_367`
7×	`pow-plus_binary64_482` `cube-div_binary64_448` `*-lft-identity_binary64_408` `remove-double-div_binary64_395`
5×	`log-pow_binary64_508` `rem-exp-log_binary64_459` `cube-unmult_binary64_456`
4×	`distribute-neg-out_binary64_381`
3×	`exp-to-pow_binary64_481` `pow-sqr_binary64_392` `difference-of-squares_binary64_388`
2×	`cube-mult_binary64_449` `mul-1-neg_binary64_411`
1×	`unpow2_binary64_484` `unpow1/2_binary64_483` `unpow1_binary64_477` `1-exp_binary64_463` `sqr-neg_binary64_433` `rem-sqrt-square_binary64_432` `remove-double-neg_binary64_407` `mul0-rgt_binary64_402` `mul0-lft_binary64_401` `+-inverses_binary64_398` `difference-of-sqr--1_binary64_390` `difference-of-sqr-1_binary64_389`
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` `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-log-exp_binary64_460` `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-square-sqrt_binary64_431` `--rgt-identity_binary64_405` `+-lft-identity_binary64_403` `div0_binary64_400` `*-inverses_binary64_399` `lft-mult-inverse_binary64_397` `rgt-mult-inverse_binary64_396` `cancel-sign-sub_binary64_384` `distribute-frac-neg_binary64_382` `associate--r-_binary64_358`

Counts

78 → 47

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	114	1162
1	252	1103
2	619	1078
3	1842	1074
4	4174	1074
5	5330	1074

prune43.0ms (1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	47	4	51

Error

Counts

51 → 4

Compiler

Compiled 582 to 439 computations (24.6% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (/.f64 1 N))) 3))
0.4b	(pow.f64 (log.f64 (+.f64 1 (/.f64 1 N))) 3)
3.1b	(log.f64 (+.f64 1 (/.f64 1 N)))

rewrite89.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`cbrt-prod_binary64_450`
13×	`*-un-lft-identity_binary64_419`
10×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
9×	`pow1_binary64_480`
8×	`unpow-prod-down_binary64_498` `cube-prod_binary64_447`
5×	`log-pow_binary64_508` `log-prod_binary64_505` `add-exp-log_binary64_457`
4×	`add-cbrt-cube_binary64_455`
3×	`add-log-exp_binary64_458` `pow-unpow_binary64_496`
2×	`log-div_binary64_506` `distribute-lft-out_binary64_370` `unpow3_binary64_485` `cube-mult_binary64_449` `sqr-pow_binary64_391`
1×	`flip3-+_binary64_422` `flip-+_binary64_393` `div-inv_binary64_416` `rem-log-exp_binary64_460` `pow-pow_binary64_491` `pow-to-exp_binary64_488` `pow-exp_binary64_487` `rem-cube-cbrt_binary64_442` `pow1/3_binary64_501` `rem-cbrt-cube_binary64_443`

Counts

3 → 64

Calls

3 calls:

7.0ms	(log.f64 (+.f64 1 (/.f64 1 N)))
3.0ms	(pow.f64 (log.f64 (+.f64 1 (/.f64 1 N))) 3)
2.0ms	(cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (/.f64 1 N))) 3))

Compiler

Compiled 1123 to 1010 computations (10.1% saved)

series227.0ms (5.5%)

Error

Counts

3 → 36

Calls

3 calls:

80.0ms	(pow.f64 (log.f64 (+.f64 1 (/.f64 1 N))) 3)
54.0ms	(cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (/.f64 1 N))) 3))
53.0ms	(log.f64 (+.f64 1 (/.f64 1 N)))

Compiler

Compiled 1198 to 999 computations (16.6% saved)

simplify100.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

635×	`times-frac_binary64_425`
545×	`associate-l_binary64_360`
472×	`associate-r_binary64_359`
297×	`log-prod_binary64_505`
271×	`exp-prod_binary64_471`
261×	`unswap-sqr_binary64_387`
233×	`cube-prod_binary64_447`
217×	`cancel-sign-sub-inv_binary64_385`
144×	`associate--l+_binary64_356`
110×	`*-commutative_binary64_350`
99×	`sub-neg_binary64_412`
94×	`associate-+l+_binary64_352`
85×	`+-commutative_binary64_349`
82×	`associate--r+_binary64_355`
67×	`associate-/r*_binary64_363`
59×	`distribute-rgt-neg-in_binary64_377`
58×	`associate-+r+_binary64_351`
55×	`distribute-rgt-out_binary64_372`
53×	`sqr-pow_binary64_391`
48×	`distribute-lft-neg-in_binary64_376`
42×	`associate-+l-_binary64_354`
34×	`pow-plus_binary64_482`
33×	`associate-*r/_binary64_361`
31×	`log-pow_binary64_508` `associate-+r-_binary64_353`
29×	`cube-unmult_binary64_456`
27×	`neg-sub0_binary64_414`
26×	`swap-sqr_binary64_386`
25×	`neg-mul-1_binary64_415`
24×	`unpow3_binary64_485`
22×	`associate-*l/_binary64_362`
20×	`distribute-rgt-in_binary64_369`
19×	`associate-/l*_binary64_364`
18×	`distribute-neg-in_binary64_380`
16×	`unsub-neg_binary64_413` `distribute-neg-frac_binary64_383`
15×	`rem-sqrt-square_binary64_432` `distribute-lft-out_binary64_370`
13×	`cube-mult_binary64_449` `distribute-rgt-out--_binary64_373`
11×	`exp-to-pow_binary64_481` `pow-sqr_binary64_392`
10×	`associate-/l/_binary64_366`
8×	`distribute-lft-neg-out_binary64_378` `distribute-rgt1-in_binary64_375`
7×	`cube-div_binary64_448`
6×	`distribute-lft-out--_binary64_371` `distribute-lft-in_binary64_368`
4×	`rem-log-exp_binary64_460` `rem-cbrt-cube_binary64_443` `count-2_binary64_367` `associate--l-_binary64_357`
3×	`unpow1/2_binary64_483` `unpow1_binary64_477`
2×	`log-div_binary64_506` `unpow2_binary64_484` `mul-1-neg_binary64_411` `*-lft-identity_binary64_408` `associate-/r/_binary64_365`
1×	`exp-sum_binary64_465` `1-exp_binary64_463` `rem-exp-log_binary64_459` `rem-3cbrt-lft_binary64_444` `rem-cube-cbrt_binary64_442` `rem-square-sqrt_binary64_431` `div-sub_binary64_424` `/-rgt-identity_binary64_410` `difference-of-squares_binary64_388`
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` `unpow1/3_binary64_486` `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` `e-exp-1_binary64_464` `exp-1-e_binary64_462` `exp-0_binary64_461` `cube-neg_binary64_446` `rem-3cbrt-rft_binary64_445` `sqr-abs_binary64_434` `sqr-neg_binary64_433` `-rgt-identity_binary64_409` `remove-double-neg_binary64_407` `sub0-neg_binary64_406` `--rgt-identity_binary64_405` `+-rgt-identity_binary64_404` `+-lft-identity_binary64_403` `mul0-rgt_binary64_402` `mul0-lft_binary64_401` `div0_binary64_400` `-inverses_binary64_399` `+-inverses_binary64_398` `lft-mult-inverse_binary64_397` `rgt-mult-inverse_binary64_396` `remove-double-div_binary64_395` `difference-of-sqr--1_binary64_390` `difference-of-sqr-1_binary64_389` `cancel-sign-sub_binary64_384` `distribute-frac-neg_binary64_382` `distribute-neg-out_binary64_381` `distribute-rgt-neg-out_binary64_379` `distribute-lft1-in_binary64_374` `associate--r-_binary64_358`

Counts

100 → 70

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	138	1765
1	320	1628
2	915	1592
3	3654	1592
4	5418	1592

prune71.0ms (1.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	70	4	74

Error

Counts

74 → 4

Compiler

Compiled 1025 to 816 computations (20.4% saved)

regimes164.0ms (3.9%)

Accuracy

Total 0.0b remaining (48.8%)

Threshold costs 0.0b (48.8%)

Compiler

Compiled 1098 to 880 computations (19.9% saved)

bsearch3.0ms (0.1%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`neg-mul-1_binary64_415` `neg-sub0_binary64_414`
9×	`+-commutative_binary64_349`
7×	`sub-neg_binary64_412` `*-commutative_binary64_350`
6×	`*-rgt-identity_binary64_409` `distribute-rgt-neg-in_binary64_377`
5×	`distribute-rgt-neg-out_binary64_379` `distribute-lft-neg-out_binary64_378` `distribute-lft-neg-in_binary64_376`
4×	`unsub-neg_binary64_413` `*-lft-identity_binary64_408`
2×	`cancel-sign-sub-inv_binary64_385` `distribute-neg-frac_binary64_383`
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` `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` `mul-1-neg_binary64_411` `/-rgt-identity_binary64_410` `remove-double-neg_binary64_407` `sub0-neg_binary64_406` `--rgt-identity_binary64_405` `+-rgt-identity_binary64_404` `+-lft-identity_binary64_403` `cancel-sign-sub_binary64_384` `distribute-frac-neg_binary64_382` `distribute-neg-out_binary64_381` `distribute-neg-in_binary64_380`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	53
1	39	53
2	51	53
3	61	53
4	68	53
5	71	53
6	90	53
7	89	53
8	85	53

end0.0ms (0%)

sample1.8s (43.1%)

Algorithm

1×

intervals

Results

460.0ms	2018×	body	1024	valid
231.0ms	4234×	body	128	valid
146.0ms	1014×	body	512	valid
94.0ms	265×	body	2048	valid
43.0ms	469×	body	256	valid

Compiler

Compiled 552 to 444 computations (19.6% 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

analyze150.0ms (3.6%)

sample45.0ms (1.1%)

simplify12.0ms (0.3%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite63.0ms (1.5%)

series143.0ms (3.4%)

simplify103.0ms (2.5%)

prune38.0ms (0.9%)

localize10.0ms (0.2%)

rewrite282.0ms (6.8%)

series249.0ms (6%)

simplify126.0ms (3%)

prune131.0ms (3.1%)

localize5.0ms (0.1%)

rewrite66.0ms (1.6%)

series138.0ms (3.3%)

simplify96.0ms (2.3%)

prune43.0ms (1%)

localize7.0ms (0.2%)

rewrite89.0ms (2.1%)

series227.0ms (5.5%)

simplify100.0ms (2.4%)

prune71.0ms (1.7%)

regimes164.0ms (3.9%)

bsearch3.0ms (0.1%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.8s (43.1%)

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