Metrics for Statistics.Distribution.Binomial:directEntropy from math-functions-0.1.5.2

analyze147.0ms (3.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

1× *-commutative_binary64_350

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 1-exp_binary64_463 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 neg-mul-1_binary64_415 neg-sub0_binary64_414 unsub-neg_binary64_413 sub-neg_binary64_412 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 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-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 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 distribute-rgt-in_binary64_369 distribute-lft-in_binary64_368 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--r-_binary64_358 associate--l-_binary64_357 associate--l+_binary64_356 associate--r+_binary64_355 associate-+l-_binary64_354 associate-+r-_binary64_353 associate-+l+_binary64_352 associate-+r+_binary64_351 +-commutative_binary64_349

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	5	6
2	5	6
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	50%	25%	3
37.5%	25%	37.5%	4
43.7%	12.5%	43.8%	5
46.9%	6.2%	46.9%	6
48.4%	3.1%	48.5%	7
49.2%	1.6%	49.2%	8
49.6%	0.8%	49.6%	9
49.6%	0.4%	50%	10
49.7%	0.2%	50.1%	11
49.7%	0.1%	50.2%	12
49.7%	0%	50.2%	13
49.7%	0%	50.2%	14

Compiler

Compiled 5 to 4 computations (20% saved)

sample13.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1× *-commutative_binary64_350

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 1-exp_binary64_463 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 neg-mul-1_binary64_415 neg-sub0_binary64_414 unsub-neg_binary64_413 sub-neg_binary64_412 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 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-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 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 distribute-rgt-in_binary64_369 distribute-lft-in_binary64_368 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--r-_binary64_358 associate--l-_binary64_357 associate--l+_binary64_356 associate--r+_binary64_355 associate-+l-_binary64_354 associate-+r-_binary64_353 associate-+l+_binary64_352 associate-+r+_binary64_351 +-commutative_binary64_349

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	5	6
2	5	6

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

0.3b

Counts

1 → 1

Compiler

Compiled 4 to 3 computations (25% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.3b	(*.f64 x (log.f64 x))

rewrite24.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`add-sqr-sqrt_binary64_441`
6×	`log-prod_binary64_505`
5×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
4×	`pow1_binary64_480` `associate-r_binary64_359`
3×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `associate-l_binary64_360`
1×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `add-log-exp_binary64_458` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `log-pow_binary64_508` `*-commutative_binary64_350`

Counts

1 → 25

Calls

1 calls:

5.0ms

(*.f64 x (log.f64 x))

Compiler

Compiled 239 to 76 computations (68.2% saved)

series111.0ms (2.8%)

Error

0.3b

Counts

1 → 3

Calls

1 calls:

109.0ms

(*.f64 x (log.f64 x))

Compiler

Compiled 63 to 52 computations (17.5% saved)

simplify91.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

585×	`unsub-neg_binary64_413`
539×	`distribute-rgt-neg-out_binary64_379`
528×	`neg-sub0_binary64_414`
526×	`div-sub_binary64_424`
496×	`neg-mul-1_binary64_415`
427×	`distribute-rgt-in_binary64_369`
411×	`distribute-lft-in_binary64_368`
359×	`distribute-lft-neg-out_binary64_378`
327×	`exp-sum_binary64_465`
264×	`associate-l_binary64_360`
218×	`associate-r_binary64_359`
179×	`exp-diff_binary64_467`
162×	`log-prod_binary64_505`
147×	`distribute-neg-in_binary64_380`
127×	`exp-prod_binary64_471`
125×	`associate-+r+_binary64_351`
103×	`sub-neg_binary64_412`
81×	`associate-+l+_binary64_352`
76×	`cancel-sign-sub-inv_binary64_385`
67×	`associate--r+_binary64_355`
51×	`*-commutative_binary64_350`
50×	`log-div_binary64_506`
45×	`cube-prod_binary64_447`
42×	`sqr-pow_binary64_391`
40×	`distribute-neg-out_binary64_381`
36×	`associate-+r-_binary64_353`
33×	`associate--r-_binary64_358`
23×	`*-rgt-identity_binary64_409`
22×	`exp-to-pow_binary64_481` `*-lft-identity_binary64_408` `unswap-sqr_binary64_387`
17×	`rem-sqrt-square_binary64_432`
16×	`cube-div_binary64_448`
15×	`mul0-lft_binary64_401`
14×	`mul0-rgt_binary64_402`
13×	`pow-sqr_binary64_392`
12×	`exp-neg_binary64_466`
11×	`mul-1-neg_binary64_411` `swap-sqr_binary64_386`
9×	`log-pow_binary64_508` `prod-exp_binary64_468` `associate-+l-_binary64_354`
8×	`distribute-rgt-neg-in_binary64_377` `+-commutative_binary64_349`
7×	`cube-unmult_binary64_456` `distribute-frac-neg_binary64_382`
6×	`unpow3_binary64_485` `cube-neg_binary64_446` `sqr-neg_binary64_433` `remove-double-neg_binary64_407` `distribute-rgt-out_binary64_372` `associate--l-_binary64_357`
5×	`--rgt-identity_binary64_405` `+-rgt-identity_binary64_404` `+-lft-identity_binary64_403` `associate--l+_binary64_356`
4×	`+-inverses_binary64_398` `associate-/l*_binary64_364`
3×	`unpow1/2_binary64_483` `div-exp_binary64_470` `cube-mult_binary64_449` `sub0-neg_binary64_406` `distribute-lft-neg-in_binary64_376` `distribute-rgt1-in_binary64_375`
2×	`pow-plus_binary64_482` `distribute-neg-frac_binary64_383` `associate-/r*_binary64_363`
1×	`log-E_binary64_509` `log-rec_binary64_507` `pow-base-1_binary64_479` `rec-exp_binary64_469` `1-exp_binary64_463` `exp-1-e_binary64_462` `rem-log-exp_binary64_460` `rem-exp-log_binary64_459` `distribute-rgt-out--_binary64_373` `count-2_binary64_367` `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` `pow-base-0_binary64_503` `unpow1/3_binary64_486` `unpow2_binary64_484` `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` `e-exp-1_binary64_464` `exp-0_binary64_461` `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` `times-frac_binary64_425` `/-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` `difference-of-sqr--1_binary64_390` `difference-of-sqr-1_binary64_389` `difference-of-squares_binary64_388` `cancel-sign-sub_binary64_384` `distribute-lft1-in_binary64_374` `distribute-lft-out--_binary64_371` `distribute-lft-out_binary64_370` `associate-/r/_binary64_365` `associate-l/_binary64_362`

Counts

28 → 14

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	299
1	94	265
2	264	265
3	487	265
4	1976	265
5	3472	265
6	4959	265
7	4864	265

prune13.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	3	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Error

0.0b

Counts

15 → 4

Compiler

Compiled 137 to 56 computations (59.1% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)

rewrite101.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`cbrt-prod_binary64_450` `log-prod_binary64_505` `associate-+r+_binary64_351`
11×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
9×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
6×	`add-log-exp_binary64_458` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
3×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `associate-l_binary64_360`
2×	`pow1/3_binary64_501`
1×	`sum-log_binary64_510` `flip3-+_binary64_422` `flip-+_binary64_393` `distribute-lft-out_binary64_370` `+-commutative_binary64_349` `associate-r_binary64_359` `*-commutative_binary64_350`

Counts

4 → 64

Calls

4 calls:

13.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
6.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1295 to 495 computations (61.8% saved)

series717.0ms (18.1%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

244.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
237.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2))
114.0ms	(cbrt.f64 x)
109.0ms	(cbrt.f64 x)

Compiler

Compiled 522 to 400 computations (23.4% saved)

simplify103.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

549×	`cancel-sign-sub-inv_binary64_385`
501×	`*-commutative_binary64_350`
291×	`unswap-sqr_binary64_387`
227×	`distribute-rgt-in_binary64_369`
206×	`distribute-lft-in_binary64_368`
185×	`associate-l_binary64_360`
177×	`log-prod_binary64_505`
175×	`associate-r_binary64_359`
165×	`distribute-rgt-out_binary64_372`
149×	`distribute-lft-out_binary64_370`
124×	`cube-prod_binary64_447`
119×	`sqr-pow_binary64_391`
116×	`swap-sqr_binary64_386`
104×	`exp-prod_binary64_471`
97×	`distribute-rgt-neg-in_binary64_377`
90×	`distribute-lft-neg-in_binary64_376`
76×	`sub-neg_binary64_412`
62×	`neg-sub0_binary64_414`
60×	`neg-mul-1_binary64_415`
53×	`exp-sum_binary64_465`
52×	`+-commutative_binary64_349`
48×	`distribute-rgt-out--_binary64_373`
32×	`log-pow_binary64_508` `log-div_binary64_506` `associate-+l+_binary64_352`
31×	`pow-sqr_binary64_392`
27×	`associate-+r+_binary64_351`
26×	`distribute-lft-out--_binary64_371`
25×	`exp-to-pow_binary64_481`
23×	`unpow3_binary64_485`
18×	`cube-mult_binary64_449`
17×	`unsub-neg_binary64_413`
14×	`associate-/r*_binary64_363`
11×	`distribute-lft-neg-out_binary64_378` `distribute-rgt1-in_binary64_375`
9×	`pow-plus_binary64_482` `difference-of-squares_binary64_388`
7×	`log-rec_binary64_507` `div-sub_binary64_424` `associate-+r-_binary64_353`
6×	`exp-lft-sqr_binary64_474` `prod-exp_binary64_468` `cube-unmult_binary64_456` `+-rgt-identity_binary64_404` `count-2_binary64_367` `associate-/l*_binary64_364` `associate-+l-_binary64_354`
5×	`exp-diff_binary64_467`
4×	`rem-sqrt-square_binary64_432` `distribute-rgt-neg-out_binary64_379`
3×	`unpow1/3_binary64_486` `remove-double-neg_binary64_407` `sub0-neg_binary64_406` `distribute-neg-in_binary64_380` `distribute-lft1-in_binary64_374` `associate--r+_binary64_355`
2×	`rec-exp_binary64_469` `mul-1-neg_binary64_411` `associate--l+_binary64_356`
1×	`unpow1_binary64_477` `exp-lft-cube_binary64_475` `1-exp_binary64_463` `rem-exp-log_binary64_459` `rem-3cbrt-lft_binary64_444` `/-rgt-identity_binary64_410` `*-rgt-identity_binary64_409`
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` `unpow2_binary64_484` `unpow1/2_binary64_483` `pow-base-1_binary64_479` `unpow0_binary64_478` `unpow-1_binary64_476` `exp-cbrt_binary64_473` `exp-sqrt_binary64_472` `div-exp_binary64_470` `exp-neg_binary64_466` `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` `rem-cube-cbrt_binary64_442` `sqr-abs_binary64_434` `sqr-neg_binary64_433` `rem-square-sqrt_binary64_431` `times-frac_binary64_425` `-lft-identity_binary64_408` `--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` `lft-mult-inverse_binary64_397` `rgt-mult-inverse_binary64_396` `remove-double-div_binary64_395` `difference-of-sqr--1_binary64_390` `difference-of-sqr-1_binary64_389` `cancel-sign-sub_binary64_384` `distribute-neg-frac_binary64_383` `distribute-frac-neg_binary64_382` `distribute-neg-out_binary64_381` `associate-/l/_binary64_366` `associate-/r/_binary64_365` `associate-l/_binary64_362` `associate-r/_binary64_361` `associate--r-_binary64_358` `associate--l-_binary64_357`

Counts

76 → 52

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	1128
1	290	907
2	1095	760
3	3076	752
4	4970	752
5	4912	752

prune56.0ms (1.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	48	4	52
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	49	7	56

Error

0.0b

Counts

56 → 7

Compiler

Compiled 843 to 365 computations (56.7% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 x)
0.6b	(cbrt.f64 (pow.f64 x 2/3))
0.6b	(cbrt.f64 (cbrt.f64 x))
6.0b	(pow.f64 x 2/3)

rewrite92.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`cbrt-prod_binary64_450`
11×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
6×	`unpow-prod-down_binary64_498`
5×	`pow1_binary64_480` `add-exp-log_binary64_457`
4×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455`
3×	`pow-unpow_binary64_496` `pow1/3_binary64_501`
2×	`sqr-pow_binary64_391`
1×	`pow-pow_binary64_491` `pow-to-exp_binary64_488` `pow-exp_binary64_487`

Counts

4 → 57

Calls

4 calls:

3.0ms	(pow.f64 x 2/3)
2.0ms	(cbrt.f64 (pow.f64 x 2/3))
2.0ms	(cbrt.f64 (cbrt.f64 x))
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1375 to 778 computations (43.4% saved)

series489.0ms (12.3%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

142.0ms	(cbrt.f64 (cbrt.f64 x))
115.0ms	(cbrt.f64 (pow.f64 x 2/3))
111.0ms	(cbrt.f64 x)
104.0ms	(pow.f64 x 2/3)

Compiler

Compiled 771 to 571 computations (25.9% saved)

simplify73.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

566×	`exp-sum_binary64_465`
345×	`log-prod_binary64_505`
334×	`associate-l_binary64_360`
330×	`associate-/r*_binary64_363`
312×	`log-div_binary64_506`
270×	`associate-r_binary64_359`
198×	`distribute-rgt-in_binary64_369`
193×	`exp-prod_binary64_471`
179×	`distribute-rgt-neg-in_binary64_377`
172×	`distribute-lft-neg-in_binary64_376`
170×	`distribute-lft-in_binary64_368`
141×	`associate-+r+_binary64_351`
125×	`associate-+l+_binary64_352`
123×	`sqr-pow_binary64_391`
105×	`swap-sqr_binary64_386`
83×	`associate-/l/_binary64_366`
79×	`cancel-sign-sub-inv_binary64_385`
75×	`exp-diff_binary64_467`
73×	`associate--r+_binary64_355`
65×	`unswap-sqr_binary64_387`
59×	`log-pow_binary64_508`
50×	`cube-prod_binary64_447`
46×	`distribute-neg-in_binary64_380`
45×	`unpow3_binary64_485`
44×	`*-commutative_binary64_350`
40×	`pow-plus_binary64_482`
36×	`pow-sqr_binary64_392`
28×	`associate-/l*_binary64_364`
26×	`neg-sub0_binary64_414`
25×	`neg-mul-1_binary64_415` `distribute-rgt-out_binary64_372`
24×	`cube-unmult_binary64_456`
22×	`sub-neg_binary64_412`
21×	`distribute-rgt-neg-out_binary64_379`
20×	`exp-to-pow_binary64_481`
17×	`distribute-lft-out_binary64_370`
14×	`distribute-lft-neg-out_binary64_378`
13×	`rem-sqrt-square_binary64_432` `+-commutative_binary64_349`
12×	`count-2_binary64_367`
10×	`associate--r-_binary64_358`
9×	`unpow1/3_binary64_486` `div-sub_binary64_424`
7×	`associate-*r/_binary64_361`
6×	`unsub-neg_binary64_413`
5×	`pow-base-1_binary64_479` `associate--l-_binary64_357`
4×	`unpow2_binary64_484` `prod-exp_binary64_468`
3×	`rem-3cbrt-lft_binary64_444` `mul-1-neg_binary64_411` `-rgt-identity_binary64_409` `-lft-identity_binary64_408` `+-lft-identity_binary64_403` `associate-*l/_binary64_362` `associate-+l-_binary64_354`
2×	`log-rec_binary64_507` `exp-neg_binary64_466` `rem-exp-log_binary64_459` `rem-cbrt-cube_binary64_443` `sub0-neg_binary64_406` `associate-/r/_binary64_365` `associate--l+_binary64_356`
1×	`unpow1/2_binary64_483` `unpow1_binary64_477` `1-exp_binary64_463` `cube-mult_binary64_449` `remove-double-neg_binary64_407` `+-rgt-identity_binary64_404` `+-inverses_binary64_398` `distribute-neg-out_binary64_381` `distribute-rgt1-in_binary64_375` `associate-+r-_binary64_353`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_682` `erf-erfc_binary64_681` `erf-odd_binary64_680` `if-if-and-not_binary64_679` `if-if-and_binary64_678` `if-if-or-not_binary64_677` `if-if-or_binary64_676` `if-not_binary64_675` `if-same_binary64_674` `if-false_binary64_673` `if-true_binary64_672` `not-gte_binary64_671` `not-lte_binary64_670` `not-gt_binary64_669` `not-lt_binary64_668` `gte-same_binary64_667` `lte-same_binary64_666` `gt-same_binary64_665` `lt-same_binary64_664` `sinh---cosh_binary64_611` `sinh-+-cosh_binary64_610` `sinh-cosh_binary64_609` `tanh-def-c_binary64_608` `tanh-def-b_binary64_607` `tanh-def-a_binary64_606` `cosh-def_binary64_605` `sinh-def_binary64_604` `tan-neg_binary64_551` `cos-neg_binary64_550` `sin-neg_binary64_549` `tan-0_binary64_548` `cos-0_binary64_547` `sin-0_binary64_546` `hang-m-tan_binary64_545` `hang-p-tan_binary64_544` `hang-m0-tan_binary64_543` `hang-p0-tan_binary64_542` `hang-0m-tan_binary64_541` `hang-0p-tan_binary64_540` `tan-+PI/2_binary64_539` `tan-+PI_binary64_538` `tan-PI_binary64_537` `tan-PI/3_binary64_536` `tan-PI/4_binary64_535` `tan-PI/6_binary64_534` `cos-+PI/2_binary64_533` `cos-+PI_binary64_532` `cos-PI_binary64_531` `cos-PI/2_binary64_530` `cos-PI/3_binary64_529` `cos-PI/4_binary64_528` `cos-PI/6_binary64_527` `sin-+PI/2_binary64_526` `sin-+PI_binary64_525` `sin-PI_binary64_524` `sin-PI/2_binary64_523` `sin-PI/3_binary64_522` `sin-PI/4_binary64_521` `sin-PI/6_binary64_520` `sub-1-sin_binary64_519` `sub-1-cos_binary64_518` `-1-add-sin_binary64_517` `-1-add-cos_binary64_516` `1-sub-sin_binary64_515` `1-sub-cos_binary64_514` `cos-sin-sum_binary64_513` `log-E_binary64_509` `pow-base-0_binary64_503` `unpow0_binary64_478` `unpow-1_binary64_476` `exp-lft-cube_binary64_475` `exp-lft-sqr_binary64_474` `exp-cbrt_binary64_473` `exp-sqrt_binary64_472` `div-exp_binary64_470` `rec-exp_binary64_469` `e-exp-1_binary64_464` `exp-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-cube-cbrt_binary64_442` `sqr-abs_binary64_434` `sqr-neg_binary64_433` `rem-square-sqrt_binary64_431` `times-frac_binary64_425` `/-rgt-identity_binary64_410` `--rgt-identity_binary64_405` `mul0-rgt_binary64_402` `mul0-lft_binary64_401` `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` `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-lft1-in_binary64_374` `distribute-rgt-out--_binary64_373` `distribute-lft-out--_binary64_371`

Counts

69 → 43

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	545
1	141	505
2	349	495
3	1540	491
4	3776	491
5	5296	491

prune60.0ms (1.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	43	7	50

Error

0.0b

Counts

50 → 7

Compiler

Compiled 1019 to 527 computations (48.3% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 x)
0.6b	(cbrt.f64 (pow.f64 x 2/3))
0.6b	(cbrt.f64 (cbrt.f64 x))
6.0b	(pow.f64 x 2/3)

rewrite90.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0b

Rules

19×	`cbrt-prod_binary64_450`
11×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
6×	`unpow-prod-down_binary64_498`
5×	`pow1_binary64_480` `add-exp-log_binary64_457`
4×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455`
3×	`pow-unpow_binary64_496` `pow1/3_binary64_501`
2×	`sqr-pow_binary64_391`
1×	`pow-pow_binary64_491` `pow-to-exp_binary64_488` `pow-exp_binary64_487`

Counts

4 → 57

Calls

4 calls:

2.0ms	(pow.f64 x 2/3)
2.0ms	(cbrt.f64 (pow.f64 x 2/3))
2.0ms	(cbrt.f64 (cbrt.f64 x))
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1375 to 734 computations (46.6% saved)

series503.0ms (12.7%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

141.0ms	(cbrt.f64 (cbrt.f64 x))
122.0ms	(cbrt.f64 (pow.f64 x 2/3))
114.0ms	(cbrt.f64 x)
110.0ms	(pow.f64 x 2/3)

Compiler

Compiled 771 to 563 computations (27% saved)

simplify71.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

566×	`exp-sum_binary64_465`
345×	`log-prod_binary64_505`
334×	`associate-l_binary64_360`
330×	`associate-/r*_binary64_363`
312×	`log-div_binary64_506`
270×	`associate-r_binary64_359`
198×	`distribute-rgt-in_binary64_369`
193×	`exp-prod_binary64_471`
179×	`distribute-rgt-neg-in_binary64_377`
172×	`distribute-lft-neg-in_binary64_376`
170×	`distribute-lft-in_binary64_368`
141×	`associate-+r+_binary64_351`
125×	`associate-+l+_binary64_352`
123×	`sqr-pow_binary64_391`
105×	`swap-sqr_binary64_386`
83×	`associate-/l/_binary64_366`
79×	`cancel-sign-sub-inv_binary64_385`
75×	`exp-diff_binary64_467`
73×	`associate--r+_binary64_355`
65×	`unswap-sqr_binary64_387`
59×	`log-pow_binary64_508`
50×	`cube-prod_binary64_447`
46×	`distribute-neg-in_binary64_380`
45×	`unpow3_binary64_485`
44×	`*-commutative_binary64_350`
40×	`pow-plus_binary64_482`
36×	`pow-sqr_binary64_392`
28×	`associate-/l*_binary64_364`
26×	`neg-sub0_binary64_414`
25×	`neg-mul-1_binary64_415` `distribute-rgt-out_binary64_372`
24×	`cube-unmult_binary64_456`
22×	`sub-neg_binary64_412`
21×	`distribute-rgt-neg-out_binary64_379`
20×	`exp-to-pow_binary64_481`
17×	`distribute-lft-out_binary64_370`
14×	`distribute-lft-neg-out_binary64_378`
13×	`rem-sqrt-square_binary64_432` `+-commutative_binary64_349`
12×	`count-2_binary64_367`
10×	`associate--r-_binary64_358`
9×	`unpow1/3_binary64_486` `div-sub_binary64_424`
7×	`associate-*r/_binary64_361`
6×	`unsub-neg_binary64_413`
5×	`pow-base-1_binary64_479` `associate--l-_binary64_357`
4×	`unpow2_binary64_484` `prod-exp_binary64_468`
3×	`rem-3cbrt-lft_binary64_444` `mul-1-neg_binary64_411` `-rgt-identity_binary64_409` `-lft-identity_binary64_408` `+-lft-identity_binary64_403` `associate-*l/_binary64_362` `associate-+l-_binary64_354`
2×	`log-rec_binary64_507` `exp-neg_binary64_466` `rem-exp-log_binary64_459` `rem-cbrt-cube_binary64_443` `sub0-neg_binary64_406` `associate-/r/_binary64_365` `associate--l+_binary64_356`
1×	`unpow1/2_binary64_483` `unpow1_binary64_477` `1-exp_binary64_463` `cube-mult_binary64_449` `remove-double-neg_binary64_407` `+-rgt-identity_binary64_404` `+-inverses_binary64_398` `distribute-neg-out_binary64_381` `distribute-rgt1-in_binary64_375` `associate-+r-_binary64_353`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_682` `erf-erfc_binary64_681` `erf-odd_binary64_680` `if-if-and-not_binary64_679` `if-if-and_binary64_678` `if-if-or-not_binary64_677` `if-if-or_binary64_676` `if-not_binary64_675` `if-same_binary64_674` `if-false_binary64_673` `if-true_binary64_672` `not-gte_binary64_671` `not-lte_binary64_670` `not-gt_binary64_669` `not-lt_binary64_668` `gte-same_binary64_667` `lte-same_binary64_666` `gt-same_binary64_665` `lt-same_binary64_664` `sinh---cosh_binary64_611` `sinh-+-cosh_binary64_610` `sinh-cosh_binary64_609` `tanh-def-c_binary64_608` `tanh-def-b_binary64_607` `tanh-def-a_binary64_606` `cosh-def_binary64_605` `sinh-def_binary64_604` `tan-neg_binary64_551` `cos-neg_binary64_550` `sin-neg_binary64_549` `tan-0_binary64_548` `cos-0_binary64_547` `sin-0_binary64_546` `hang-m-tan_binary64_545` `hang-p-tan_binary64_544` `hang-m0-tan_binary64_543` `hang-p0-tan_binary64_542` `hang-0m-tan_binary64_541` `hang-0p-tan_binary64_540` `tan-+PI/2_binary64_539` `tan-+PI_binary64_538` `tan-PI_binary64_537` `tan-PI/3_binary64_536` `tan-PI/4_binary64_535` `tan-PI/6_binary64_534` `cos-+PI/2_binary64_533` `cos-+PI_binary64_532` `cos-PI_binary64_531` `cos-PI/2_binary64_530` `cos-PI/3_binary64_529` `cos-PI/4_binary64_528` `cos-PI/6_binary64_527` `sin-+PI/2_binary64_526` `sin-+PI_binary64_525` `sin-PI_binary64_524` `sin-PI/2_binary64_523` `sin-PI/3_binary64_522` `sin-PI/4_binary64_521` `sin-PI/6_binary64_520` `sub-1-sin_binary64_519` `sub-1-cos_binary64_518` `-1-add-sin_binary64_517` `-1-add-cos_binary64_516` `1-sub-sin_binary64_515` `1-sub-cos_binary64_514` `cos-sin-sum_binary64_513` `log-E_binary64_509` `pow-base-0_binary64_503` `unpow0_binary64_478` `unpow-1_binary64_476` `exp-lft-cube_binary64_475` `exp-lft-sqr_binary64_474` `exp-cbrt_binary64_473` `exp-sqrt_binary64_472` `div-exp_binary64_470` `rec-exp_binary64_469` `e-exp-1_binary64_464` `exp-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-cube-cbrt_binary64_442` `sqr-abs_binary64_434` `sqr-neg_binary64_433` `rem-square-sqrt_binary64_431` `times-frac_binary64_425` `/-rgt-identity_binary64_410` `--rgt-identity_binary64_405` `mul0-rgt_binary64_402` `mul0-lft_binary64_401` `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` `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-lft1-in_binary64_374` `distribute-rgt-out--_binary64_373` `distribute-lft-out--_binary64_371`

Counts

69 → 43

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	545
1	141	505
2	349	495
3	1540	491
4	3776	491
5	5296	491

prune52.0ms (1.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	43	7	50

Error

0.0b

Counts

50 → 7

Compiler

Compiled 947 to 447 computations (52.8% saved)

regimes144.0ms (3.6%)

Accuracy

Total 0.3b remaining (99.9%)

Threshold costs 0.3b (99.9%)

Compiler

Compiled 1238 to 736 computations (40.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1× *-commutative_binary64_350

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 neg-mul-1_binary64_415 neg-sub0_binary64_414 unsub-neg_binary64_413 sub-neg_binary64_412 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 +-commutative_binary64_349

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	5	6
2	5	6

end0.0ms (0%)

sample958.0ms (24.2%)

Algorithm

1×

intervals

Results

220.0ms

8000×

body

128

valid

Compiler

Compiled 623 to 372 computations (40.3% saved)

Details

analyze147.0ms (3.7%)

sample13.0ms (0.3%)

simplify8.0ms (0.2%)

prune1.0ms (0%)

localize3.0ms (0.1%)

rewrite24.0ms (0.6%)

series111.0ms (2.8%)

simplify91.0ms (2.3%)

prune13.0ms (0.3%)

localize9.0ms (0.2%)

rewrite101.0ms (2.5%)

series717.0ms (18.1%)

simplify103.0ms (2.6%)

prune56.0ms (1.4%)

localize18.0ms (0.4%)

rewrite92.0ms (2.3%)

series489.0ms (12.3%)

simplify73.0ms (1.8%)

prune60.0ms (1.5%)

localize17.0ms (0.4%)

rewrite90.0ms (2.3%)

series503.0ms (12.7%)

simplify71.0ms (1.8%)

prune52.0ms (1.3%)

regimes144.0ms (3.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample958.0ms (24.2%)

Profiling