Details

Time bar (total: 2.2s)

analyze192.0ms (8.7%)

Algorithm
search
egg-herbie
Rules
distribute-rgt-in_binary64_17419 distribute-lft-in_binary64_17418
associate-*l*_binary64_17410
*-lft-identity_binary64_17458
associate-*r*_binary64_17409 *-commutative_binary64_17400
*-rgt-identity_binary64_17459 distribute-rgt1-in_binary64_17425 +-commutative_binary64_17399
1-exp_binary64_17513
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_17732 erf-erfc_binary64_17731 erf-odd_binary64_17730 if-if-and-not_binary64_17729 if-if-and_binary64_17728 if-if-or-not_binary64_17727 if-if-or_binary64_17726 if-not_binary64_17725 if-same_binary64_17724 if-false_binary64_17723 if-true_binary64_17722 not-gte_binary64_17721 not-lte_binary64_17720 not-gt_binary64_17719 not-lt_binary64_17718 gte-same_binary64_17717 lte-same_binary64_17716 gt-same_binary64_17715 lt-same_binary64_17714 sinh---cosh_binary64_17661 sinh-+-cosh_binary64_17660 sinh-cosh_binary64_17659 tanh-def-c_binary64_17658 tanh-def-b_binary64_17657 tanh-def-a_binary64_17656 cosh-def_binary64_17655 sinh-def_binary64_17654 tan-neg_binary64_17601 cos-neg_binary64_17600 sin-neg_binary64_17599 tan-0_binary64_17598 cos-0_binary64_17597 sin-0_binary64_17596 hang-m-tan_binary64_17595 hang-p-tan_binary64_17594 hang-m0-tan_binary64_17593 hang-p0-tan_binary64_17592 hang-0m-tan_binary64_17591 hang-0p-tan_binary64_17590 tan-+PI/2_binary64_17589 tan-+PI_binary64_17588 tan-PI_binary64_17587 tan-PI/3_binary64_17586 tan-PI/4_binary64_17585 tan-PI/6_binary64_17584 cos-+PI/2_binary64_17583 cos-+PI_binary64_17582 cos-PI_binary64_17581 cos-PI/2_binary64_17580 cos-PI/3_binary64_17579 cos-PI/4_binary64_17578 cos-PI/6_binary64_17577 sin-+PI/2_binary64_17576 sin-+PI_binary64_17575 sin-PI_binary64_17574 sin-PI/2_binary64_17573 sin-PI/3_binary64_17572 sin-PI/4_binary64_17571 sin-PI/6_binary64_17570 sub-1-sin_binary64_17569 sub-1-cos_binary64_17568 -1-add-sin_binary64_17567 -1-add-cos_binary64_17566 1-sub-sin_binary64_17565 1-sub-cos_binary64_17564 cos-sin-sum_binary64_17563 log-E_binary64_17559 log-pow_binary64_17558 log-rec_binary64_17557 log-div_binary64_17556 log-prod_binary64_17555 pow-base-0_binary64_17553 unpow1/3_binary64_17536 unpow3_binary64_17535 unpow2_binary64_17534 unpow1/2_binary64_17533 pow-plus_binary64_17532 exp-to-pow_binary64_17531 pow-base-1_binary64_17529 unpow0_binary64_17528 unpow1_binary64_17527 unpow-1_binary64_17526 exp-lft-cube_binary64_17525 exp-lft-sqr_binary64_17524 exp-cbrt_binary64_17523 exp-sqrt_binary64_17522 exp-prod_binary64_17521 div-exp_binary64_17520 rec-exp_binary64_17519 prod-exp_binary64_17518 exp-diff_binary64_17517 exp-neg_binary64_17516 exp-sum_binary64_17515 e-exp-1_binary64_17514 exp-1-e_binary64_17512 exp-0_binary64_17511 rem-log-exp_binary64_17510 rem-exp-log_binary64_17509 cube-unmult_binary64_17506 cube-mult_binary64_17499 cube-div_binary64_17498 cube-prod_binary64_17497 cube-neg_binary64_17496 rem-3cbrt-rft_binary64_17495 rem-3cbrt-lft_binary64_17494 rem-cbrt-cube_binary64_17493 rem-cube-cbrt_binary64_17492 sqr-abs_binary64_17484 sqr-neg_binary64_17483 rem-sqrt-square_binary64_17482 rem-square-sqrt_binary64_17481 times-frac_binary64_17475 div-sub_binary64_17474 neg-mul-1_binary64_17465 neg-sub0_binary64_17464 unsub-neg_binary64_17463 sub-neg_binary64_17462 mul-1-neg_binary64_17461 /-rgt-identity_binary64_17460 remove-double-neg_binary64_17457 sub0-neg_binary64_17456 --rgt-identity_binary64_17455 +-rgt-identity_binary64_17454 +-lft-identity_binary64_17453 mul0-rgt_binary64_17452 mul0-lft_binary64_17451 div0_binary64_17450 *-inverses_binary64_17449 +-inverses_binary64_17448 lft-mult-inverse_binary64_17447 rgt-mult-inverse_binary64_17446 remove-double-div_binary64_17445 pow-sqr_binary64_17442 sqr-pow_binary64_17441 difference-of-sqr--1_binary64_17440 difference-of-sqr-1_binary64_17439 difference-of-squares_binary64_17438 unswap-sqr_binary64_17437 swap-sqr_binary64_17436 cancel-sign-sub-inv_binary64_17435 cancel-sign-sub_binary64_17434 distribute-neg-frac_binary64_17433 distribute-frac-neg_binary64_17432 distribute-neg-out_binary64_17431 distribute-neg-in_binary64_17430 distribute-rgt-neg-out_binary64_17429 distribute-lft-neg-out_binary64_17428 distribute-rgt-neg-in_binary64_17427 distribute-lft-neg-in_binary64_17426 distribute-lft1-in_binary64_17424 distribute-rgt-out--_binary64_17423 distribute-rgt-out_binary64_17422 distribute-lft-out--_binary64_17421 distribute-lft-out_binary64_17420 count-2_binary64_17417 associate-/l/_binary64_17416 associate-/r/_binary64_17415 associate-/l*_binary64_17414 associate-/r*_binary64_17413 associate-*l/_binary64_17412 associate-*r/_binary64_17411 associate--r-_binary64_17408 associate--l-_binary64_17407 associate--l+_binary64_17406 associate--r+_binary64_17405 associate-+l-_binary64_17404 associate-+r-_binary64_17403 associate-+l+_binary64_17402 associate-+r+_binary64_17401
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
12414
22414
33714
43514
53314
022
122
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
37.5%62.4%0.1%5
56.2%43.7%0.1%6
62.4%31.2%6.3%7
71.8%21.9%6.3%8
74.9%15.6%9.5%9
79.6%10.9%9.5%10
81.2%7.8%11%11
83.5%5.5%11%12
84.3%3.9%11.8%13
85.5%2.7%11.8%14
Compiler

Compiled 6 to 6 computations (0% saved)

sample12.0ms (0.6%)

Algorithm
intervals
Results
4.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify9.0ms (0.4%)

Algorithm
egg-herbie
Rules
associate-*l*_binary64_17410 associate-*r*_binary64_17409
*-rgt-identity_binary64_17459 *-lft-identity_binary64_17458 distribute-rgt-in_binary64_17419 distribute-lft-in_binary64_17418
*-commutative_binary64_17400
1-exp_binary64_17513 +-commutative_binary64_17399
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_17732 erf-erfc_binary64_17731 erf-odd_binary64_17730 if-if-and-not_binary64_17729 if-if-and_binary64_17728 if-if-or-not_binary64_17727 if-if-or_binary64_17726 if-not_binary64_17725 if-same_binary64_17724 if-false_binary64_17723 if-true_binary64_17722 not-gte_binary64_17721 not-lte_binary64_17720 not-gt_binary64_17719 not-lt_binary64_17718 gte-same_binary64_17717 lte-same_binary64_17716 gt-same_binary64_17715 lt-same_binary64_17714 sinh---cosh_binary64_17661 sinh-+-cosh_binary64_17660 sinh-cosh_binary64_17659 tanh-def-c_binary64_17658 tanh-def-b_binary64_17657 tanh-def-a_binary64_17656 cosh-def_binary64_17655 sinh-def_binary64_17654 tan-neg_binary64_17601 cos-neg_binary64_17600 sin-neg_binary64_17599 tan-0_binary64_17598 cos-0_binary64_17597 sin-0_binary64_17596 hang-m-tan_binary64_17595 hang-p-tan_binary64_17594 hang-m0-tan_binary64_17593 hang-p0-tan_binary64_17592 hang-0m-tan_binary64_17591 hang-0p-tan_binary64_17590 tan-+PI/2_binary64_17589 tan-+PI_binary64_17588 tan-PI_binary64_17587 tan-PI/3_binary64_17586 tan-PI/4_binary64_17585 tan-PI/6_binary64_17584 cos-+PI/2_binary64_17583 cos-+PI_binary64_17582 cos-PI_binary64_17581 cos-PI/2_binary64_17580 cos-PI/3_binary64_17579 cos-PI/4_binary64_17578 cos-PI/6_binary64_17577 sin-+PI/2_binary64_17576 sin-+PI_binary64_17575 sin-PI_binary64_17574 sin-PI/2_binary64_17573 sin-PI/3_binary64_17572 sin-PI/4_binary64_17571 sin-PI/6_binary64_17570 sub-1-sin_binary64_17569 sub-1-cos_binary64_17568 -1-add-sin_binary64_17567 -1-add-cos_binary64_17566 1-sub-sin_binary64_17565 1-sub-cos_binary64_17564 cos-sin-sum_binary64_17563 log-E_binary64_17559 log-pow_binary64_17558 log-rec_binary64_17557 log-div_binary64_17556 log-prod_binary64_17555 pow-base-0_binary64_17553 unpow1/3_binary64_17536 unpow3_binary64_17535 unpow2_binary64_17534 unpow1/2_binary64_17533 pow-plus_binary64_17532 exp-to-pow_binary64_17531 pow-base-1_binary64_17529 unpow0_binary64_17528 unpow1_binary64_17527 unpow-1_binary64_17526 exp-lft-cube_binary64_17525 exp-lft-sqr_binary64_17524 exp-cbrt_binary64_17523 exp-sqrt_binary64_17522 exp-prod_binary64_17521 div-exp_binary64_17520 rec-exp_binary64_17519 prod-exp_binary64_17518 exp-diff_binary64_17517 exp-neg_binary64_17516 exp-sum_binary64_17515 e-exp-1_binary64_17514 exp-1-e_binary64_17512 exp-0_binary64_17511 rem-log-exp_binary64_17510 rem-exp-log_binary64_17509 cube-unmult_binary64_17506 cube-mult_binary64_17499 cube-div_binary64_17498 cube-prod_binary64_17497 cube-neg_binary64_17496 rem-3cbrt-rft_binary64_17495 rem-3cbrt-lft_binary64_17494 rem-cbrt-cube_binary64_17493 rem-cube-cbrt_binary64_17492 sqr-abs_binary64_17484 sqr-neg_binary64_17483 rem-sqrt-square_binary64_17482 rem-square-sqrt_binary64_17481 times-frac_binary64_17475 div-sub_binary64_17474 neg-mul-1_binary64_17465 neg-sub0_binary64_17464 unsub-neg_binary64_17463 sub-neg_binary64_17462 mul-1-neg_binary64_17461 /-rgt-identity_binary64_17460 remove-double-neg_binary64_17457 sub0-neg_binary64_17456 --rgt-identity_binary64_17455 +-rgt-identity_binary64_17454 +-lft-identity_binary64_17453 mul0-rgt_binary64_17452 mul0-lft_binary64_17451 div0_binary64_17450 *-inverses_binary64_17449 +-inverses_binary64_17448 lft-mult-inverse_binary64_17447 rgt-mult-inverse_binary64_17446 remove-double-div_binary64_17445 pow-sqr_binary64_17442 sqr-pow_binary64_17441 difference-of-sqr--1_binary64_17440 difference-of-sqr-1_binary64_17439 difference-of-squares_binary64_17438 unswap-sqr_binary64_17437 swap-sqr_binary64_17436 cancel-sign-sub-inv_binary64_17435 cancel-sign-sub_binary64_17434 distribute-neg-frac_binary64_17433 distribute-frac-neg_binary64_17432 distribute-neg-out_binary64_17431 distribute-neg-in_binary64_17430 distribute-rgt-neg-out_binary64_17429 distribute-lft-neg-out_binary64_17428 distribute-rgt-neg-in_binary64_17427 distribute-lft-neg-in_binary64_17426 distribute-rgt1-in_binary64_17425 distribute-lft1-in_binary64_17424 distribute-rgt-out--_binary64_17423 distribute-rgt-out_binary64_17422 distribute-lft-out--_binary64_17421 distribute-lft-out_binary64_17420 count-2_binary64_17417 associate-/l/_binary64_17416 associate-/r/_binary64_17415 associate-/l*_binary64_17414 associate-/r*_binary64_17413 associate-*l/_binary64_17412 associate-*r/_binary64_17411 associate--r-_binary64_17408 associate--l-_binary64_17407 associate--l+_binary64_17406 associate--r+_binary64_17405 associate-+l-_binary64_17404 associate-+r-_binary64_17403 associate-+l+_binary64_17402 associate-+r+_binary64_17401
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1167
2167
3297
4257
5237

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.0b
Counts
1 → 1
Compiler

Compiled 5 to 5 computations (0% saved)

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 x (+.f64 y 1))

rewrite27.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
add-sqr-sqrt_binary64_17491 *-un-lft-identity_binary64_17469
associate-*r*_binary64_17409
pow1_binary64_17530 add-exp-log_binary64_17507 add-cbrt-cube_binary64_17505 add-cube-cbrt_binary64_17504 associate-*l*_binary64_17410
associate-*r/_binary64_17411
pow-prod-down_binary64_17540 prod-exp_binary64_17518 add-log-exp_binary64_17508 cbrt-unprod_binary64_17502 unswap-sqr_binary64_17437 distribute-rgt-in_binary64_17419 distribute-lft-in_binary64_17418 flip3-+_binary64_17472 flip-+_binary64_17443 distribute-lft-out_binary64_17420 *-commutative_binary64_17400
Counts
1 → 23
Calls

1 calls:

7.0ms
(*.f64 x (+.f64 y 1))
Compiler

Compiled 249 to 170 computations (31.7% saved)

series284.0ms (12.9%)

Error
0.0b
Counts
1 → 9
Calls

1 calls:

72.0ms
(*.f64 x (+.f64 y 1))
Compiler

Compiled 104 to 76 computations (26.9% saved)

simplify87.0ms (3.9%)

Algorithm
egg-herbie
Rules
654×distribute-rgt-in_binary64_17419
581×distribute-lft-in_binary64_17418
430×associate-/r/_binary64_17415
285×times-frac_binary64_17475
274×distribute-rgt-out_binary64_17422
229×*-commutative_binary64_17400
219×associate-/l/_binary64_17416
191×associate-*l*_binary64_17410
185×associate-+r+_binary64_17401
175×associate-+l+_binary64_17402
146×unswap-sqr_binary64_17437
128×associate-*r*_binary64_17409
124×associate-*l/_binary64_17412
121×log-prod_binary64_17555
119×sqr-pow_binary64_17441
110×associate-*r/_binary64_17411
102×log-div_binary64_17556
101×cancel-sign-sub-inv_binary64_17435
73×distribute-lft-out_binary64_17420
69×sub-neg_binary64_17462
59×distribute-rgt1-in_binary64_17425
52×distribute-lft1-in_binary64_17424
51×*-rgt-identity_binary64_17459
46×pow-sqr_binary64_17442
42×*-lft-identity_binary64_17458
39×distribute-rgt-neg-in_binary64_17427
36×distribute-rgt-out--_binary64_17423
35×cube-div_binary64_17498 associate-/l*_binary64_17414
34×rem-sqrt-square_binary64_17482
29×exp-prod_binary64_17521
28×distribute-neg-frac_binary64_17433
24×distribute-lft-neg-in_binary64_17426
22×cube-prod_binary64_17497
21×unpow3_binary64_17535
19×unsub-neg_binary64_17463
18×associate-+r-_binary64_17403
17×swap-sqr_binary64_17436
16×distribute-lft-neg-out_binary64_17428
15×distribute-neg-in_binary64_17430 associate--r+_binary64_17405
14×associate-/r*_binary64_17413 associate-+l-_binary64_17404 +-commutative_binary64_17399
13×exp-sqrt_binary64_17522 neg-sub0_binary64_17464
11×exp-sum_binary64_17515
10×neg-mul-1_binary64_17465 +-rgt-identity_binary64_17454
log-rec_binary64_17557 cube-unmult_binary64_17506 sub0-neg_binary64_17456
distribute-rgt-neg-out_binary64_17429
unpow1/2_binary64_17533 pow-plus_binary64_17532 mul-1-neg_binary64_17461
exp-lft-sqr_binary64_17524 cube-mult_binary64_17499
div-sub_binary64_17474 +-inverses_binary64_17448 cancel-sign-sub_binary64_17434
unpow2_binary64_17534 prod-exp_binary64_17518 exp-diff_binary64_17517 1-exp_binary64_17513 exp-1-e_binary64_17512 remove-double-neg_binary64_17457 difference-of-sqr-1_binary64_17439 distribute-lft-out--_binary64_17421 count-2_binary64_17417
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_17732 erf-erfc_binary64_17731 erf-odd_binary64_17730 if-if-and-not_binary64_17729 if-if-and_binary64_17728 if-if-or-not_binary64_17727 if-if-or_binary64_17726 if-not_binary64_17725 if-same_binary64_17724 if-false_binary64_17723 if-true_binary64_17722 not-gte_binary64_17721 not-lte_binary64_17720 not-gt_binary64_17719 not-lt_binary64_17718 gte-same_binary64_17717 lte-same_binary64_17716 gt-same_binary64_17715 lt-same_binary64_17714 sinh---cosh_binary64_17661 sinh-+-cosh_binary64_17660 sinh-cosh_binary64_17659 tanh-def-c_binary64_17658 tanh-def-b_binary64_17657 tanh-def-a_binary64_17656 cosh-def_binary64_17655 sinh-def_binary64_17654 tan-neg_binary64_17601 cos-neg_binary64_17600 sin-neg_binary64_17599 tan-0_binary64_17598 cos-0_binary64_17597 sin-0_binary64_17596 hang-m-tan_binary64_17595 hang-p-tan_binary64_17594 hang-m0-tan_binary64_17593 hang-p0-tan_binary64_17592 hang-0m-tan_binary64_17591 hang-0p-tan_binary64_17590 tan-+PI/2_binary64_17589 tan-+PI_binary64_17588 tan-PI_binary64_17587 tan-PI/3_binary64_17586 tan-PI/4_binary64_17585 tan-PI/6_binary64_17584 cos-+PI/2_binary64_17583 cos-+PI_binary64_17582 cos-PI_binary64_17581 cos-PI/2_binary64_17580 cos-PI/3_binary64_17579 cos-PI/4_binary64_17578 cos-PI/6_binary64_17577 sin-+PI/2_binary64_17576 sin-+PI_binary64_17575 sin-PI_binary64_17574 sin-PI/2_binary64_17573 sin-PI/3_binary64_17572 sin-PI/4_binary64_17571 sin-PI/6_binary64_17570 sub-1-sin_binary64_17569 sub-1-cos_binary64_17568 -1-add-sin_binary64_17567 -1-add-cos_binary64_17566 1-sub-sin_binary64_17565 1-sub-cos_binary64_17564 cos-sin-sum_binary64_17563 log-E_binary64_17559 log-pow_binary64_17558 pow-base-0_binary64_17553 unpow1/3_binary64_17536 exp-to-pow_binary64_17531 pow-base-1_binary64_17529 unpow0_binary64_17528 unpow1_binary64_17527 unpow-1_binary64_17526 exp-lft-cube_binary64_17525 exp-cbrt_binary64_17523 div-exp_binary64_17520 rec-exp_binary64_17519 exp-neg_binary64_17516 e-exp-1_binary64_17514 exp-0_binary64_17511 rem-log-exp_binary64_17510 rem-exp-log_binary64_17509 cube-neg_binary64_17496 rem-3cbrt-rft_binary64_17495 rem-3cbrt-lft_binary64_17494 rem-cbrt-cube_binary64_17493 rem-cube-cbrt_binary64_17492 sqr-abs_binary64_17484 sqr-neg_binary64_17483 rem-square-sqrt_binary64_17481 /-rgt-identity_binary64_17460 --rgt-identity_binary64_17455 +-lft-identity_binary64_17453 mul0-rgt_binary64_17452 mul0-lft_binary64_17451 div0_binary64_17450 *-inverses_binary64_17449 lft-mult-inverse_binary64_17447 rgt-mult-inverse_binary64_17446 remove-double-div_binary64_17445 difference-of-sqr--1_binary64_17440 difference-of-squares_binary64_17438 distribute-frac-neg_binary64_17432 distribute-neg-out_binary64_17431 associate--r-_binary64_17408 associate--l-_binary64_17407 associate--l+_binary64_17406
Counts
32 → 22
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047287
1119257
2329257
3646257
41930257
51997257
62848257
74756257
84894257

prune16.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New21122
Fresh000
Picked011
Done000
Total21223
Error
0b
Counts
23 → 2
Compiler

Compiled 195 to 126 computations (35.4% saved)

localize12.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 y y) (-.f64 (*.f64 1 1) (*.f64 y 1)))
2.6b
(*.f64 x (+.f64 1 (pow.f64 y 3)))
17.8b
(/.f64 (*.f64 x (+.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 y y) (-.f64 (*.f64 1 1) (*.f64 y 1))))

rewrite143.0ms (6.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
10×add-exp-log_binary64_17507 add-cbrt-cube_binary64_17505
add-sqr-sqrt_binary64_17491 *-un-lft-identity_binary64_17469
add-log-exp_binary64_17508
add-cube-cbrt_binary64_17504
pow1_binary64_17530
flip3-+_binary64_17472 associate-*r/_binary64_17411 flip-+_binary64_17443 associate-*r*_binary64_17409
times-frac_binary64_17475 associate-/r*_binary64_17413 associate-*l*_binary64_17410
prod-exp_binary64_17518 div-exp_binary64_17520 cbrt-undiv_binary64_17503 cbrt-unprod_binary64_17502 associate-/l/_binary64_17416 associate-/r/_binary64_17415 sum-log_binary64_17560 associate-+r+_binary64_17401
frac-2neg_binary64_17480 clear-num_binary64_17468 div-inv_binary64_17466 associate-/l*_binary64_17414 pow-prod-down_binary64_17540 unswap-sqr_binary64_17437 distribute-rgt-in_binary64_17419 distribute-lft-in_binary64_17418 distribute-lft-out_binary64_17420 *-commutative_binary64_17400 diff-log_binary64_17561 associate-+r-_binary64_17403 sub-neg_binary64_17462 cancel-sign-sub-inv_binary64_17435 +-commutative_binary64_17399
Counts
3 → 63
Calls

3 calls:

17.0ms
(/.f64 (*.f64 x (+.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 y y) (-.f64 (*.f64 1 1) (*.f64 y 1))))
13.0ms
(*.f64 x (+.f64 1 (pow.f64 y 3)))
9.0ms
(+.f64 (*.f64 y y) (-.f64 (*.f64 1 1) (*.f64 y 1)))
Compiler

Compiled 1903 to 1344 computations (29.4% saved)

series562.0ms (25.6%)

Error
0b
Counts
3 → 27
Calls

3 calls:

296.0ms
(/.f64 (*.f64 x (+.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 y y) (-.f64 (*.f64 1 1) (*.f64 y 1))))
167.0ms
(*.f64 x (+.f64 1 (pow.f64 y 3)))
78.0ms
(+.f64 (*.f64 y y) (-.f64 (*.f64 1 1) (*.f64 y 1)))
Compiler

Compiled 901 to 700 computations (22.3% saved)

simplify89.0ms (4.1%)

Algorithm
egg-herbie
Rules
727×times-frac_binary64_17475
596×distribute-rgt-in_binary64_17419
554×associate-/l*_binary64_17414
542×distribute-lft-in_binary64_17418
193×associate-/l/_binary64_17416
116×associate-/r/_binary64_17415
103×associate-*l*_binary64_17410
84×cancel-sign-sub-inv_binary64_17435 associate-*r*_binary64_17409
58×distribute-rgt-neg-in_binary64_17427
53×sub-neg_binary64_17462
52×*-commutative_binary64_17400
47×unswap-sqr_binary64_17437
41×distribute-lft-neg-in_binary64_17426
33×exp-prod_binary64_17521 *-rgt-identity_binary64_17459 associate-*l/_binary64_17412
31×sqr-pow_binary64_17441 distribute-rgt-out_binary64_17422
28×div-sub_binary64_17474 *-lft-identity_binary64_17458
26×+-commutative_binary64_17399
21×distribute-neg-in_binary64_17430 associate-*r/_binary64_17411
20×exp-sum_binary64_17515 neg-mul-1_binary64_17465 neg-sub0_binary64_17464 distribute-lft-neg-out_binary64_17428
19×associate-/r*_binary64_17413
18×log-div_binary64_17556
17×distribute-rgt-out--_binary64_17423
16×cube-prod_binary64_17497
15×unsub-neg_binary64_17463 distribute-rgt-neg-out_binary64_17429
13×log-rec_binary64_17557 cube-div_binary64_17498
12×/-rgt-identity_binary64_17460
10×log-prod_binary64_17555
swap-sqr_binary64_17436
difference-of-squares_binary64_17438
distribute-neg-frac_binary64_17433
cube-unmult_binary64_17506 distribute-lft-out_binary64_17420 associate--r+_binary64_17405
unpow3_binary64_17535 pow-plus_binary64_17532 distribute-rgt1-in_binary64_17425 associate--l+_binary64_17406
cube-mult_binary64_17499 pow-sqr_binary64_17442 difference-of-sqr-1_binary64_17439 associate-+l+_binary64_17402
exp-diff_binary64_17517 associate-+l-_binary64_17404 associate-+r-_binary64_17403
unpow1/2_binary64_17533 div-exp_binary64_17520 prod-exp_binary64_17518 distribute-lft1-in_binary64_17424 distribute-lft-out--_binary64_17421 associate--r-_binary64_17408
unpow2_binary64_17534 unpow1_binary64_17527 1-exp_binary64_17513 exp-1-e_binary64_17512 remove-double-neg_binary64_17457 associate--l-_binary64_17407
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_17732 erf-erfc_binary64_17731 erf-odd_binary64_17730 if-if-and-not_binary64_17729 if-if-and_binary64_17728 if-if-or-not_binary64_17727 if-if-or_binary64_17726 if-not_binary64_17725 if-same_binary64_17724 if-false_binary64_17723 if-true_binary64_17722 not-gte_binary64_17721 not-lte_binary64_17720 not-gt_binary64_17719 not-lt_binary64_17718 gte-same_binary64_17717 lte-same_binary64_17716 gt-same_binary64_17715 lt-same_binary64_17714 sinh---cosh_binary64_17661 sinh-+-cosh_binary64_17660 sinh-cosh_binary64_17659 tanh-def-c_binary64_17658 tanh-def-b_binary64_17657 tanh-def-a_binary64_17656 cosh-def_binary64_17655 sinh-def_binary64_17654 tan-neg_binary64_17601 cos-neg_binary64_17600 sin-neg_binary64_17599 tan-0_binary64_17598 cos-0_binary64_17597 sin-0_binary64_17596 hang-m-tan_binary64_17595 hang-p-tan_binary64_17594 hang-m0-tan_binary64_17593 hang-p0-tan_binary64_17592 hang-0m-tan_binary64_17591 hang-0p-tan_binary64_17590 tan-+PI/2_binary64_17589 tan-+PI_binary64_17588 tan-PI_binary64_17587 tan-PI/3_binary64_17586 tan-PI/4_binary64_17585 tan-PI/6_binary64_17584 cos-+PI/2_binary64_17583 cos-+PI_binary64_17582 cos-PI_binary64_17581 cos-PI/2_binary64_17580 cos-PI/3_binary64_17579 cos-PI/4_binary64_17578 cos-PI/6_binary64_17577 sin-+PI/2_binary64_17576 sin-+PI_binary64_17575 sin-PI_binary64_17574 sin-PI/2_binary64_17573 sin-PI/3_binary64_17572 sin-PI/4_binary64_17571 sin-PI/6_binary64_17570 sub-1-sin_binary64_17569 sub-1-cos_binary64_17568 -1-add-sin_binary64_17567 -1-add-cos_binary64_17566 1-sub-sin_binary64_17565 1-sub-cos_binary64_17564 cos-sin-sum_binary64_17563 log-E_binary64_17559 log-pow_binary64_17558 pow-base-0_binary64_17553 unpow1/3_binary64_17536 exp-to-pow_binary64_17531 pow-base-1_binary64_17529 unpow0_binary64_17528 unpow-1_binary64_17526 exp-lft-cube_binary64_17525 exp-lft-sqr_binary64_17524 exp-cbrt_binary64_17523 exp-sqrt_binary64_17522 rec-exp_binary64_17519 exp-neg_binary64_17516 e-exp-1_binary64_17514 exp-0_binary64_17511 rem-log-exp_binary64_17510 rem-exp-log_binary64_17509 cube-neg_binary64_17496 rem-3cbrt-rft_binary64_17495 rem-3cbrt-lft_binary64_17494 rem-cbrt-cube_binary64_17493 rem-cube-cbrt_binary64_17492 sqr-abs_binary64_17484 sqr-neg_binary64_17483 rem-sqrt-square_binary64_17482 rem-square-sqrt_binary64_17481 mul-1-neg_binary64_17461 sub0-neg_binary64_17456 --rgt-identity_binary64_17455 +-rgt-identity_binary64_17454 +-lft-identity_binary64_17453 mul0-rgt_binary64_17452 mul0-lft_binary64_17451 div0_binary64_17450 *-inverses_binary64_17449 +-inverses_binary64_17448 lft-mult-inverse_binary64_17447 rgt-mult-inverse_binary64_17446 remove-double-div_binary64_17445 difference-of-sqr--1_binary64_17440 cancel-sign-sub_binary64_17434 distribute-frac-neg_binary64_17432 distribute-neg-out_binary64_17431 count-2_binary64_17417 associate-+r+_binary64_17401
Counts
90 → 70
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01241558
13301349
213621347
349891347
449631347

prune81.0ms (3.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New70070
Fresh000
Picked011
Done011
Total70272
Error
0b
Counts
72 → 2
Compiler

Compiled 1529 to 1014 computations (33.7% saved)

regimes95.0ms (4.3%)

Accuracy

Total 0.0b remaining (100%)

Threshold costs 0.0b (100%)

Compiler

Compiled 552 to 494 computations (10.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
1-exp_binary64_17513 *-commutative_binary64_17400 +-commutative_binary64_17399
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_17729 if-if-and_binary64_17728 if-if-or-not_binary64_17727 if-if-or_binary64_17726 if-not_binary64_17725 if-same_binary64_17724 if-false_binary64_17723 if-true_binary64_17722 tan-0_binary64_17598 cos-0_binary64_17597 sin-0_binary64_17596 unpow1_binary64_17527 e-exp-1_binary64_17514 exp-1-e_binary64_17512 exp-0_binary64_17511 sqr-abs_binary64_17484 sqr-neg_binary64_17483 neg-mul-1_binary64_17465 neg-sub0_binary64_17464 unsub-neg_binary64_17463 sub-neg_binary64_17462 mul-1-neg_binary64_17461 /-rgt-identity_binary64_17460 *-rgt-identity_binary64_17459 *-lft-identity_binary64_17458 remove-double-neg_binary64_17457 sub0-neg_binary64_17456 --rgt-identity_binary64_17455 +-rgt-identity_binary64_17454 +-lft-identity_binary64_17453 cancel-sign-sub-inv_binary64_17435 cancel-sign-sub_binary64_17434 distribute-neg-frac_binary64_17433 distribute-frac-neg_binary64_17432 distribute-neg-out_binary64_17431 distribute-neg-in_binary64_17430 distribute-rgt-neg-out_binary64_17429 distribute-lft-neg-out_binary64_17428 distribute-rgt-neg-in_binary64_17427 distribute-lft-neg-in_binary64_17426
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
297

end0.0ms (0%)

sample575.0ms (26.2%)

Algorithm
intervals
Results
144.0ms8000×body128valid
1.0ms82×body128invalid
Compiler

Compiled 149 to 134 computations (10.1% saved)

Profiling

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