Details

Time bar (total: 6.9s)

analyze314.0ms (4.5%)

Algorithm
search
egg-herbie
Rules
16×sub-neg_binary64_3481
12×div-sub_binary64_3493 +-commutative_binary64_3418
10×*-commutative_binary64_3419
associate-/l*_binary64_3433
neg-mul-1_binary64_3484 neg-sub0_binary64_3483 div0_binary64_3469 associate-+l-_binary64_3423
associate-/r/_binary64_3434
sub0-neg_binary64_3475 --rgt-identity_binary64_3474 mul0-rgt_binary64_3471 mul0-lft_binary64_3470 distribute-frac-neg_binary64_3451 distribute-rgt-in_binary64_3438 distribute-lft-in_binary64_3437 associate--r+_binary64_3424
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_3751 erf-erfc_binary64_3750 erf-odd_binary64_3749 if-if-and-not_binary64_3748 if-if-and_binary64_3747 if-if-or-not_binary64_3746 if-if-or_binary64_3745 if-not_binary64_3744 if-same_binary64_3743 if-false_binary64_3742 if-true_binary64_3741 not-gte_binary64_3740 not-lte_binary64_3739 not-gt_binary64_3738 not-lt_binary64_3737 gte-same_binary64_3736 lte-same_binary64_3735 gt-same_binary64_3734 lt-same_binary64_3733 sinh---cosh_binary64_3680 sinh-+-cosh_binary64_3679 sinh-cosh_binary64_3678 tanh-def-c_binary64_3677 tanh-def-b_binary64_3676 tanh-def-a_binary64_3675 cosh-def_binary64_3674 sinh-def_binary64_3673 tan-neg_binary64_3620 cos-neg_binary64_3619 sin-neg_binary64_3618 tan-0_binary64_3617 cos-0_binary64_3616 sin-0_binary64_3615 hang-m-tan_binary64_3614 hang-p-tan_binary64_3613 hang-m0-tan_binary64_3612 hang-p0-tan_binary64_3611 hang-0m-tan_binary64_3610 hang-0p-tan_binary64_3609 tan-+PI/2_binary64_3608 tan-+PI_binary64_3607 tan-PI_binary64_3606 tan-PI/3_binary64_3605 tan-PI/4_binary64_3604 tan-PI/6_binary64_3603 cos-+PI/2_binary64_3602 cos-+PI_binary64_3601 cos-PI_binary64_3600 cos-PI/2_binary64_3599 cos-PI/3_binary64_3598 cos-PI/4_binary64_3597 cos-PI/6_binary64_3596 sin-+PI/2_binary64_3595 sin-+PI_binary64_3594 sin-PI_binary64_3593 sin-PI/2_binary64_3592 sin-PI/3_binary64_3591 sin-PI/4_binary64_3590 sin-PI/6_binary64_3589 sub-1-sin_binary64_3588 sub-1-cos_binary64_3587 -1-add-sin_binary64_3586 -1-add-cos_binary64_3585 1-sub-sin_binary64_3584 1-sub-cos_binary64_3583 cos-sin-sum_binary64_3582 log-E_binary64_3578 log-pow_binary64_3577 log-rec_binary64_3576 log-div_binary64_3575 log-prod_binary64_3574 pow-base-0_binary64_3572 unpow1/3_binary64_3555 unpow3_binary64_3554 unpow2_binary64_3553 unpow1/2_binary64_3552 pow-plus_binary64_3551 exp-to-pow_binary64_3550 pow-base-1_binary64_3548 unpow0_binary64_3547 unpow1_binary64_3546 unpow-1_binary64_3545 exp-lft-cube_binary64_3544 exp-lft-sqr_binary64_3543 exp-cbrt_binary64_3542 exp-sqrt_binary64_3541 exp-prod_binary64_3540 div-exp_binary64_3539 rec-exp_binary64_3538 prod-exp_binary64_3537 exp-diff_binary64_3536 exp-neg_binary64_3535 exp-sum_binary64_3534 e-exp-1_binary64_3533 1-exp_binary64_3532 exp-1-e_binary64_3531 exp-0_binary64_3530 rem-log-exp_binary64_3529 rem-exp-log_binary64_3528 cube-unmult_binary64_3525 cube-mult_binary64_3518 cube-div_binary64_3517 cube-prod_binary64_3516 cube-neg_binary64_3515 rem-3cbrt-rft_binary64_3514 rem-3cbrt-lft_binary64_3513 rem-cbrt-cube_binary64_3512 rem-cube-cbrt_binary64_3511 sqr-abs_binary64_3503 sqr-neg_binary64_3502 rem-sqrt-square_binary64_3501 rem-square-sqrt_binary64_3500 times-frac_binary64_3494 unsub-neg_binary64_3482 mul-1-neg_binary64_3480 /-rgt-identity_binary64_3479 *-rgt-identity_binary64_3478 *-lft-identity_binary64_3477 remove-double-neg_binary64_3476 +-rgt-identity_binary64_3473 +-lft-identity_binary64_3472 *-inverses_binary64_3468 +-inverses_binary64_3467 lft-mult-inverse_binary64_3466 rgt-mult-inverse_binary64_3465 remove-double-div_binary64_3464 pow-sqr_binary64_3461 sqr-pow_binary64_3460 difference-of-sqr--1_binary64_3459 difference-of-sqr-1_binary64_3458 difference-of-squares_binary64_3457 unswap-sqr_binary64_3456 swap-sqr_binary64_3455 cancel-sign-sub-inv_binary64_3454 cancel-sign-sub_binary64_3453 distribute-neg-frac_binary64_3452 distribute-neg-out_binary64_3450 distribute-neg-in_binary64_3449 distribute-rgt-neg-out_binary64_3448 distribute-lft-neg-out_binary64_3447 distribute-rgt-neg-in_binary64_3446 distribute-lft-neg-in_binary64_3445 distribute-rgt1-in_binary64_3444 distribute-lft1-in_binary64_3443 distribute-rgt-out--_binary64_3442 distribute-rgt-out_binary64_3441 distribute-lft-out--_binary64_3440 distribute-lft-out_binary64_3439 count-2_binary64_3436 associate-/l/_binary64_3435 associate-/r*_binary64_3432 associate-*l/_binary64_3431 associate-*r/_binary64_3430 associate-*l*_binary64_3429 associate-*r*_binary64_3428 associate--r-_binary64_3427 associate--l-_binary64_3426 associate--l+_binary64_3425 associate-+r-_binary64_3422 associate-+l+_binary64_3421 associate-+r+_binary64_3420
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02252
13946
25946
37346
48146
58646
610846
710846
811046
99446
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
25%68.7%6.3%5
25%65.6%9.5%6
37.5%39%23.5%7
37.5%36.7%25.9%8
43.7%20.7%35.6%9
43.7%19.3%37%10
46.8%10.6%42.5%11
46.8%9.9%43.3%12
48.4%5.4%46.2%13
48.4%5%46.6%14
Compiler

Compiled 17 to 17 computations (0% saved)

sample32.0ms (0.5%)

Algorithm
intervals
Results
19.0ms256×body128valid
1.0ms15×body128nan
Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
sub-neg_binary64_3481
*-commutative_binary64_3419
div-sub_binary64_3493 +-commutative_binary64_3418
associate-/l*_binary64_3433
neg-mul-1_binary64_3484 neg-sub0_binary64_3483 div0_binary64_3469 associate-/r/_binary64_3434 associate-+l-_binary64_3423
sub0-neg_binary64_3475 --rgt-identity_binary64_3474 mul0-rgt_binary64_3471 mul0-lft_binary64_3470 distribute-frac-neg_binary64_3451 distribute-rgt-in_binary64_3438 distribute-lft-in_binary64_3437 associate--r+_binary64_3424
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_3751 erf-erfc_binary64_3750 erf-odd_binary64_3749 if-if-and-not_binary64_3748 if-if-and_binary64_3747 if-if-or-not_binary64_3746 if-if-or_binary64_3745 if-not_binary64_3744 if-same_binary64_3743 if-false_binary64_3742 if-true_binary64_3741 not-gte_binary64_3740 not-lte_binary64_3739 not-gt_binary64_3738 not-lt_binary64_3737 gte-same_binary64_3736 lte-same_binary64_3735 gt-same_binary64_3734 lt-same_binary64_3733 sinh---cosh_binary64_3680 sinh-+-cosh_binary64_3679 sinh-cosh_binary64_3678 tanh-def-c_binary64_3677 tanh-def-b_binary64_3676 tanh-def-a_binary64_3675 cosh-def_binary64_3674 sinh-def_binary64_3673 tan-neg_binary64_3620 cos-neg_binary64_3619 sin-neg_binary64_3618 tan-0_binary64_3617 cos-0_binary64_3616 sin-0_binary64_3615 hang-m-tan_binary64_3614 hang-p-tan_binary64_3613 hang-m0-tan_binary64_3612 hang-p0-tan_binary64_3611 hang-0m-tan_binary64_3610 hang-0p-tan_binary64_3609 tan-+PI/2_binary64_3608 tan-+PI_binary64_3607 tan-PI_binary64_3606 tan-PI/3_binary64_3605 tan-PI/4_binary64_3604 tan-PI/6_binary64_3603 cos-+PI/2_binary64_3602 cos-+PI_binary64_3601 cos-PI_binary64_3600 cos-PI/2_binary64_3599 cos-PI/3_binary64_3598 cos-PI/4_binary64_3597 cos-PI/6_binary64_3596 sin-+PI/2_binary64_3595 sin-+PI_binary64_3594 sin-PI_binary64_3593 sin-PI/2_binary64_3592 sin-PI/3_binary64_3591 sin-PI/4_binary64_3590 sin-PI/6_binary64_3589 sub-1-sin_binary64_3588 sub-1-cos_binary64_3587 -1-add-sin_binary64_3586 -1-add-cos_binary64_3585 1-sub-sin_binary64_3584 1-sub-cos_binary64_3583 cos-sin-sum_binary64_3582 log-E_binary64_3578 log-pow_binary64_3577 log-rec_binary64_3576 log-div_binary64_3575 log-prod_binary64_3574 pow-base-0_binary64_3572 unpow1/3_binary64_3555 unpow3_binary64_3554 unpow2_binary64_3553 unpow1/2_binary64_3552 pow-plus_binary64_3551 exp-to-pow_binary64_3550 pow-base-1_binary64_3548 unpow0_binary64_3547 unpow1_binary64_3546 unpow-1_binary64_3545 exp-lft-cube_binary64_3544 exp-lft-sqr_binary64_3543 exp-cbrt_binary64_3542 exp-sqrt_binary64_3541 exp-prod_binary64_3540 div-exp_binary64_3539 rec-exp_binary64_3538 prod-exp_binary64_3537 exp-diff_binary64_3536 exp-neg_binary64_3535 exp-sum_binary64_3534 e-exp-1_binary64_3533 1-exp_binary64_3532 exp-1-e_binary64_3531 exp-0_binary64_3530 rem-log-exp_binary64_3529 rem-exp-log_binary64_3528 cube-unmult_binary64_3525 cube-mult_binary64_3518 cube-div_binary64_3517 cube-prod_binary64_3516 cube-neg_binary64_3515 rem-3cbrt-rft_binary64_3514 rem-3cbrt-lft_binary64_3513 rem-cbrt-cube_binary64_3512 rem-cube-cbrt_binary64_3511 sqr-abs_binary64_3503 sqr-neg_binary64_3502 rem-sqrt-square_binary64_3501 rem-square-sqrt_binary64_3500 times-frac_binary64_3494 unsub-neg_binary64_3482 mul-1-neg_binary64_3480 /-rgt-identity_binary64_3479 *-rgt-identity_binary64_3478 *-lft-identity_binary64_3477 remove-double-neg_binary64_3476 +-rgt-identity_binary64_3473 +-lft-identity_binary64_3472 *-inverses_binary64_3468 +-inverses_binary64_3467 lft-mult-inverse_binary64_3466 rgt-mult-inverse_binary64_3465 remove-double-div_binary64_3464 pow-sqr_binary64_3461 sqr-pow_binary64_3460 difference-of-sqr--1_binary64_3459 difference-of-sqr-1_binary64_3458 difference-of-squares_binary64_3457 unswap-sqr_binary64_3456 swap-sqr_binary64_3455 cancel-sign-sub-inv_binary64_3454 cancel-sign-sub_binary64_3453 distribute-neg-frac_binary64_3452 distribute-neg-out_binary64_3450 distribute-neg-in_binary64_3449 distribute-rgt-neg-out_binary64_3448 distribute-lft-neg-out_binary64_3447 distribute-rgt-neg-in_binary64_3446 distribute-lft-neg-in_binary64_3445 distribute-rgt1-in_binary64_3444 distribute-lft1-in_binary64_3443 distribute-rgt-out--_binary64_3442 distribute-rgt-out_binary64_3441 distribute-lft-out--_binary64_3440 distribute-lft-out_binary64_3439 count-2_binary64_3436 associate-/l/_binary64_3435 associate-/r*_binary64_3432 associate-*l/_binary64_3431 associate-*r/_binary64_3430 associate-*l*_binary64_3429 associate-*r*_binary64_3428 associate--r-_binary64_3427 associate--l-_binary64_3426 associate--l+_binary64_3425 associate-+r-_binary64_3422 associate-+l+_binary64_3421 associate-+r+_binary64_3420
Counts
1 → 1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01526
12623
24023
34823
45223
55523
66623
76523
85423

prune8.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
1.0b
Counts
2 → 1
Compiler

Compiled 28 to 28 computations (0% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
1.0b
(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
1.0b
(*.f64 PI.f64 2/3)
1.0b
(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))

rewrite144.0ms (2.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
16×add-sqr-sqrt_binary64_3510
14×add-cube-cbrt_binary64_3523 *-un-lft-identity_binary64_3488
times-frac_binary64_3494
add-exp-log_binary64_3526 add-cbrt-cube_binary64_3524
div-sub_binary64_3493 pow1_binary64_3549 add-log-exp_binary64_3527
associate-+r-_binary64_3422
distribute-frac-neg_binary64_3451 acos-neg_binary64_3671 acos-asin_binary64_3669 associate-*l*_binary64_3429 associate-*r*_binary64_3428 associate-/l*_binary64_3433 associate-/r*_binary64_3432
cos-diff_binary64_3625
cos-sum_binary64_3622 pow-prod-down_binary64_3559 prod-exp_binary64_3537 cbrt-unprod_binary64_3521 unswap-sqr_binary64_3456 *-commutative_binary64_3419 sum-log_binary64_3579 flip3-+_binary64_3491 flip-+_binary64_3462 +-commutative_binary64_3418 div-exp_binary64_3539 cbrt-undiv_binary64_3522 frac-2neg_binary64_3499 clear-num_binary64_3487 div-inv_binary64_3485
Counts
4 → 70
Calls

4 calls:

8.0ms
(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
7.0ms
(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
4.0ms
(*.f64 PI.f64 2/3)
4.0ms
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
Compiler

Compiled 1547 to 910 computations (41.2% saved)

series397.0ms (5.7%)

Error
1.0b
Counts
4 → 18
Calls

4 calls:

232.0ms
(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
97.0ms
(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
65.0ms
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.0ms
(*.f64 PI.f64 2/3)
Compiler

Compiled 570 to 566 computations (0.7% saved)

simplify144.0ms (2.1%)

Algorithm
egg-herbie
Rules
728×div-sub_binary64_3493
384×sub-neg_binary64_3481
361×associate-/r/_binary64_3434
278×associate-/r*_binary64_3432
228×cancel-sign-sub-inv_binary64_3454
201×distribute-rgt-out_binary64_3441 distribute-rgt-in_binary64_3438
199×associate-/l*_binary64_3433
180×distribute-lft-in_binary64_3437
167×associate-*l*_binary64_3429
166×*-commutative_binary64_3419
151×associate-*l/_binary64_3431
143×associate-/l/_binary64_3435
130×associate-*r*_binary64_3428
128×associate-+l-_binary64_3423
123×associate--l-_binary64_3426
109×distribute-rgt-neg-in_binary64_3446 associate-*r/_binary64_3430
102×unsub-neg_binary64_3482
89×neg-sub0_binary64_3483
85×associate--l+_binary64_3425 associate-+l+_binary64_3421
84×distribute-neg-frac_binary64_3452
83×sqr-pow_binary64_3460
81×neg-mul-1_binary64_3484
79×distribute-lft-neg-in_binary64_3445
75×associate-+r+_binary64_3420
65×distribute-lft-out_binary64_3439 associate-+r-_binary64_3422
63×times-frac_binary64_3494
62×associate--r+_binary64_3424
55×/-rgt-identity_binary64_3479
48×*-lft-identity_binary64_3477
45×+-commutative_binary64_3418
43×cube-prod_binary64_3516
38×*-rgt-identity_binary64_3478
33×distribute-rgt-out--_binary64_3442
31×exp-prod_binary64_3540 cube-div_binary64_3517 distribute-neg-in_binary64_3449
30×log-prod_binary64_3574
29×sub0-neg_binary64_3475
26×log-div_binary64_3575
25×associate--r-_binary64_3427
22×distribute-lft-neg-out_binary64_3447
20×+-rgt-identity_binary64_3473
16×exp-sum_binary64_3534 remove-double-neg_binary64_3476 unswap-sqr_binary64_3456
15×pow-sqr_binary64_3461
13×unpow3_binary64_3554 exp-diff_binary64_3536
11×swap-sqr_binary64_3455
10×distribute-rgt-neg-out_binary64_3448
cube-unmult_binary64_3525 rem-sqrt-square_binary64_3501
div0_binary64_3469
log-rec_binary64_3576 cube-mult_binary64_3518 mul0-rgt_binary64_3471
--rgt-identity_binary64_3474 +-lft-identity_binary64_3472 remove-double-div_binary64_3464 distribute-neg-out_binary64_3450
unpow1/2_binary64_3552 pow-plus_binary64_3551 mul0-lft_binary64_3470 distribute-lft-out--_binary64_3440
prod-exp_binary64_3537 cube-neg_binary64_3515 mul-1-neg_binary64_3480 distribute-rgt1-in_binary64_3444
sin-neg_binary64_3618 exp-cbrt_binary64_3542
cos-neg_binary64_3619 unpow2_binary64_3553 1-exp_binary64_3532 sqr-neg_binary64_3502 difference-of-squares_binary64_3457
cos-PI_binary64_3600 sin-PI_binary64_3593 unpow1/3_binary64_3555 exp-1-e_binary64_3531 distribute-frac-neg_binary64_3451 distribute-lft1-in_binary64_3443 count-2_binary64_3436
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_3751 erf-erfc_binary64_3750 erf-odd_binary64_3749 if-if-and-not_binary64_3748 if-if-and_binary64_3747 if-if-or-not_binary64_3746 if-if-or_binary64_3745 if-not_binary64_3744 if-same_binary64_3743 if-false_binary64_3742 if-true_binary64_3741 not-gte_binary64_3740 not-lte_binary64_3739 not-gt_binary64_3738 not-lt_binary64_3737 gte-same_binary64_3736 lte-same_binary64_3735 gt-same_binary64_3734 lt-same_binary64_3733 sinh---cosh_binary64_3680 sinh-+-cosh_binary64_3679 sinh-cosh_binary64_3678 tanh-def-c_binary64_3677 tanh-def-b_binary64_3676 tanh-def-a_binary64_3675 cosh-def_binary64_3674 sinh-def_binary64_3673 tan-neg_binary64_3620 tan-0_binary64_3617 cos-0_binary64_3616 sin-0_binary64_3615 hang-m-tan_binary64_3614 hang-p-tan_binary64_3613 hang-m0-tan_binary64_3612 hang-p0-tan_binary64_3611 hang-0m-tan_binary64_3610 hang-0p-tan_binary64_3609 tan-+PI/2_binary64_3608 tan-+PI_binary64_3607 tan-PI_binary64_3606 tan-PI/3_binary64_3605 tan-PI/4_binary64_3604 tan-PI/6_binary64_3603 cos-+PI/2_binary64_3602 cos-+PI_binary64_3601 cos-PI/2_binary64_3599 cos-PI/3_binary64_3598 cos-PI/4_binary64_3597 cos-PI/6_binary64_3596 sin-+PI/2_binary64_3595 sin-+PI_binary64_3594 sin-PI/2_binary64_3592 sin-PI/3_binary64_3591 sin-PI/4_binary64_3590 sin-PI/6_binary64_3589 sub-1-sin_binary64_3588 sub-1-cos_binary64_3587 -1-add-sin_binary64_3586 -1-add-cos_binary64_3585 1-sub-sin_binary64_3584 1-sub-cos_binary64_3583 cos-sin-sum_binary64_3582 log-E_binary64_3578 log-pow_binary64_3577 pow-base-0_binary64_3572 exp-to-pow_binary64_3550 pow-base-1_binary64_3548 unpow0_binary64_3547 unpow1_binary64_3546 unpow-1_binary64_3545 exp-lft-cube_binary64_3544 exp-lft-sqr_binary64_3543 exp-sqrt_binary64_3541 div-exp_binary64_3539 rec-exp_binary64_3538 exp-neg_binary64_3535 e-exp-1_binary64_3533 exp-0_binary64_3530 rem-log-exp_binary64_3529 rem-exp-log_binary64_3528 rem-3cbrt-rft_binary64_3514 rem-3cbrt-lft_binary64_3513 rem-cbrt-cube_binary64_3512 rem-cube-cbrt_binary64_3511 sqr-abs_binary64_3503 rem-square-sqrt_binary64_3500 *-inverses_binary64_3468 +-inverses_binary64_3467 lft-mult-inverse_binary64_3466 rgt-mult-inverse_binary64_3465 difference-of-sqr--1_binary64_3459 difference-of-sqr-1_binary64_3458 cancel-sign-sub_binary64_3453
Counts
88 → 75
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01501689
12711611
25501608
311521564
425891558
541301544
644991544
751831544

prune117.0ms (1.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New73275
Fresh000
Picked101
Done000
Total74276
Error
1.0b
Counts
76 → 2
Compiler

Compiled 1181 to 696 computations (41.1% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
1.0b
(/.f64 (acos.f64 (/.f64 g h)) 3)

rewrite67.0ms (1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
10×add-cube-cbrt_binary64_3523 add-sqr-sqrt_binary64_3510 *-un-lft-identity_binary64_3488
times-frac_binary64_3494
add-exp-log_binary64_3526 add-cbrt-cube_binary64_3524
associate-/l*_binary64_3433 associate-/r*_binary64_3432
pow1_binary64_3549 add-log-exp_binary64_3527 acos-asin_binary64_3669 div-sub_binary64_3493
div-exp_binary64_3539 cbrt-undiv_binary64_3522 frac-2neg_binary64_3499 clear-num_binary64_3487 div-inv_binary64_3485 cos-diff_binary64_3625
Counts
2 → 36
Calls

2 calls:

4.0ms
(/.f64 (acos.f64 (/.f64 g h)) 3)
3.0ms
(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
Compiler

Compiled 713 to 455 computations (36.2% saved)

series234.0ms (3.4%)

Error
1.0b
Counts
2 → 12
Calls

2 calls:

170.0ms
(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
61.0ms
(/.f64 (acos.f64 (/.f64 g h)) 3)
Compiler

Compiled 300 to 300 computations (0% saved)

simplify178.0ms (2.6%)

Algorithm
egg-herbie
Rules
469×associate-/l/_binary64_3435
442×unsub-neg_binary64_3482 unswap-sqr_binary64_3456
393×associate-/r/_binary64_3434
390×associate-/l*_binary64_3433
362×distribute-rgt-in_binary64_3438
318×times-frac_binary64_3494
295×sqr-pow_binary64_3460
280×associate-/r*_binary64_3432
269×cancel-sign-sub-inv_binary64_3454
250×distribute-neg-in_binary64_3449
228×sub-neg_binary64_3481
204×pow-sqr_binary64_3461
179×*-commutative_binary64_3419
176×associate-*l/_binary64_3431
166×associate-*r/_binary64_3430
129×distribute-lft-in_binary64_3437
116×+-commutative_binary64_3418
110×associate--r-_binary64_3427
97×neg-sub0_binary64_3483
93×neg-mul-1_binary64_3484
87×associate-*l*_binary64_3429
81×associate--l-_binary64_3426
79×associate--r+_binary64_3424
72×*-lft-identity_binary64_3477
70×div-sub_binary64_3493 distribute-lft-neg-out_binary64_3447
67×distribute-rgt-neg-in_binary64_3446
63×*-rgt-identity_binary64_3478 associate-*r*_binary64_3428
60×associate--l+_binary64_3425
58×distribute-lft-neg-in_binary64_3445
50×distribute-neg-out_binary64_3450
49×pow-plus_binary64_3551 cube-prod_binary64_3516
47×associate-+r+_binary64_3420
46×associate-+l-_binary64_3423
36×associate-+l+_binary64_3421
34×unpow3_binary64_3554
32×cancel-sign-sub_binary64_3453
30×remove-double-neg_binary64_3476 distribute-rgt-neg-out_binary64_3448
25×associate-+r-_binary64_3422
24×cube-mult_binary64_3518 swap-sqr_binary64_3455
22×/-rgt-identity_binary64_3479
20×cube-unmult_binary64_3525
18×distribute-lft-out--_binary64_3440
15×cube-div_binary64_3517 rem-sqrt-square_binary64_3501
13×unpow2_binary64_3553 unpow1_binary64_3546
12×distribute-rgt-out_binary64_3441
11×div0_binary64_3469
10×+-rgt-identity_binary64_3473
unpow1/2_binary64_3552
mul0-rgt_binary64_3471 mul0-lft_binary64_3470
distribute-rgt-out--_binary64_3442 distribute-lft-out_binary64_3439
mul-1-neg_binary64_3480
log-div_binary64_3575 --rgt-identity_binary64_3474
log-prod_binary64_3574 exp-sum_binary64_3534 distribute-rgt1-in_binary64_3444
exp-prod_binary64_3540 exp-diff_binary64_3536 sub0-neg_binary64_3475 +-lft-identity_binary64_3472 distribute-lft1-in_binary64_3443
cos-PI/6_binary64_3596 sin-PI/6_binary64_3589 log-rec_binary64_3576 exp-cbrt_binary64_3542 1-exp_binary64_3532 distribute-neg-frac_binary64_3452 count-2_binary64_3436
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_3751 erf-erfc_binary64_3750 erf-odd_binary64_3749 if-if-and-not_binary64_3748 if-if-and_binary64_3747 if-if-or-not_binary64_3746 if-if-or_binary64_3745 if-not_binary64_3744 if-same_binary64_3743 if-false_binary64_3742 if-true_binary64_3741 not-gte_binary64_3740 not-lte_binary64_3739 not-gt_binary64_3738 not-lt_binary64_3737 gte-same_binary64_3736 lte-same_binary64_3735 gt-same_binary64_3734 lt-same_binary64_3733 sinh---cosh_binary64_3680 sinh-+-cosh_binary64_3679 sinh-cosh_binary64_3678 tanh-def-c_binary64_3677 tanh-def-b_binary64_3676 tanh-def-a_binary64_3675 cosh-def_binary64_3674 sinh-def_binary64_3673 tan-neg_binary64_3620 cos-neg_binary64_3619 sin-neg_binary64_3618 tan-0_binary64_3617 cos-0_binary64_3616 sin-0_binary64_3615 hang-m-tan_binary64_3614 hang-p-tan_binary64_3613 hang-m0-tan_binary64_3612 hang-p0-tan_binary64_3611 hang-0m-tan_binary64_3610 hang-0p-tan_binary64_3609 tan-+PI/2_binary64_3608 tan-+PI_binary64_3607 tan-PI_binary64_3606 tan-PI/3_binary64_3605 tan-PI/4_binary64_3604 tan-PI/6_binary64_3603 cos-+PI/2_binary64_3602 cos-+PI_binary64_3601 cos-PI_binary64_3600 cos-PI/2_binary64_3599 cos-PI/3_binary64_3598 cos-PI/4_binary64_3597 sin-+PI/2_binary64_3595 sin-+PI_binary64_3594 sin-PI_binary64_3593 sin-PI/2_binary64_3592 sin-PI/3_binary64_3591 sin-PI/4_binary64_3590 sub-1-sin_binary64_3588 sub-1-cos_binary64_3587 -1-add-sin_binary64_3586 -1-add-cos_binary64_3585 1-sub-sin_binary64_3584 1-sub-cos_binary64_3583 cos-sin-sum_binary64_3582 log-E_binary64_3578 log-pow_binary64_3577 pow-base-0_binary64_3572 unpow1/3_binary64_3555 exp-to-pow_binary64_3550 pow-base-1_binary64_3548 unpow0_binary64_3547 unpow-1_binary64_3545 exp-lft-cube_binary64_3544 exp-lft-sqr_binary64_3543 exp-sqrt_binary64_3541 div-exp_binary64_3539 rec-exp_binary64_3538 prod-exp_binary64_3537 exp-neg_binary64_3535 e-exp-1_binary64_3533 exp-1-e_binary64_3531 exp-0_binary64_3530 rem-log-exp_binary64_3529 rem-exp-log_binary64_3528 cube-neg_binary64_3515 rem-3cbrt-rft_binary64_3514 rem-3cbrt-lft_binary64_3513 rem-cbrt-cube_binary64_3512 rem-cube-cbrt_binary64_3511 sqr-abs_binary64_3503 sqr-neg_binary64_3502 rem-square-sqrt_binary64_3500 *-inverses_binary64_3468 +-inverses_binary64_3467 lft-mult-inverse_binary64_3466 rgt-mult-inverse_binary64_3465 remove-double-div_binary64_3464 difference-of-sqr--1_binary64_3459 difference-of-sqr-1_binary64_3458 difference-of-squares_binary64_3457 distribute-frac-neg_binary64_3451
Counts
48 → 20
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079769
1118701
2189701
3289701
4571701
51055701
61748701
73211701
83977701
94246701
104305701
114501701
124849701
134749701

prune35.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New18220
Fresh101
Picked011
Done000
Total19322
Error
0b
Counts
22 → 3
Compiler

Compiled 368 to 254 computations (31% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(sin.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))
0.0b
(+.f64 (*.f64 (/.f64 (sqrt.f64 3) 2) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))) (*.f64 1/2 (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))))
0.2b
(/.f64 (asin.f64 (/.f64 g h)) 3)
0.2b
(/.f64 (asin.f64 (/.f64 g h)) 3)

rewrite209.0ms (3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
20×add-cube-cbrt_binary64_3523 add-sqr-sqrt_binary64_3510 *-un-lft-identity_binary64_3488
18×times-frac_binary64_3494
add-exp-log_binary64_3526 add-cbrt-cube_binary64_3524
add-log-exp_binary64_3527 associate-/l*_binary64_3433 associate-/r*_binary64_3432
asin-acos_binary64_3668 div-sub_binary64_3493
pow1_binary64_3549
div-exp_binary64_3539 cbrt-undiv_binary64_3522 frac-2neg_binary64_3499 clear-num_binary64_3487 div-inv_binary64_3485 cos-diff_binary64_3625 associate-+l+_binary64_3421
sum-log_binary64_3579 flip3-+_binary64_3491 flip-+_binary64_3462 distribute-rgt-in_binary64_3438 distribute-lft-in_binary64_3437 +-commutative_binary64_3418 sin-diff_binary64_3624
Counts
4 → 77
Calls

4 calls:

10.0ms
(+.f64 (*.f64 (/.f64 (sqrt.f64 3) 2) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))) (*.f64 1/2 (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))))
4.0ms
(/.f64 (asin.f64 (/.f64 g h)) 3)
4.0ms
(/.f64 (asin.f64 (/.f64 g h)) 3)
3.0ms
(sin.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))
Compiler

Compiled 2840 to 1925 computations (32.2% saved)

series782.0ms (11.3%)

Error
0b
Counts
4 → 24
Calls

4 calls:

484.0ms
(+.f64 (*.f64 (/.f64 (sqrt.f64 3) 2) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))) (*.f64 1/2 (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))))
165.0ms
(sin.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))
64.0ms
(/.f64 (asin.f64 (/.f64 g h)) 3)
62.0ms
(/.f64 (asin.f64 (/.f64 g h)) 3)
Compiler

Compiled 1377 to 1165 computations (15.4% saved)

simplify135.0ms (2%)

Algorithm
egg-herbie
Rules
469×associate-*l/_binary64_3431
418×associate-*r/_binary64_3430
379×times-frac_binary64_3494
310×associate-/l*_binary64_3433
272×*-commutative_binary64_3419
249×distribute-rgt-in_binary64_3438
237×associate-*l*_binary64_3429
228×cancel-sign-sub-inv_binary64_3454 distribute-lft-in_binary64_3437
175×associate-*r*_binary64_3428
148×distribute-rgt-neg-in_binary64_3446 associate-/l/_binary64_3435
140×distribute-neg-frac_binary64_3452
124×unswap-sqr_binary64_3456
116×distribute-lft-neg-in_binary64_3445
113×sub-neg_binary64_3481
105×div-sub_binary64_3493
97×distribute-rgt-out_binary64_3441
93×associate-/r/_binary64_3434
71×sqr-pow_binary64_3460 associate-+l+_binary64_3421
70×associate-/r*_binary64_3432
63×associate-+r+_binary64_3420
53×neg-mul-1_binary64_3484
52×distribute-lft-neg-out_binary64_3447
51×neg-sub0_binary64_3483
49×unsub-neg_binary64_3482
42×distribute-lft-out_binary64_3439
39×+-commutative_binary64_3418
25×distribute-neg-in_binary64_3449
23×associate-+l-_binary64_3423
22×distribute-rgt-neg-out_binary64_3448
19×cube-div_binary64_3517
17×pow-sqr_binary64_3461
16×distribute-rgt-out--_binary64_3442
14×unpow3_binary64_3554 cube-prod_binary64_3516 sub0-neg_binary64_3475 associate--l-_binary64_3426
13×associate-+r-_binary64_3422
11×exp-prod_binary64_3540 exp-sum_binary64_3534 cube-mult_binary64_3518 swap-sqr_binary64_3455
10×rem-sqrt-square_binary64_3501 /-rgt-identity_binary64_3479
cube-unmult_binary64_3525 *-lft-identity_binary64_3477 +-rgt-identity_binary64_3473
mul0-rgt_binary64_3471 mul0-lft_binary64_3470
distribute-neg-out_binary64_3450 associate--l+_binary64_3425
associate--r+_binary64_3424
log-div_binary64_3575
log-prod_binary64_3574 pow-plus_binary64_3551 *-rgt-identity_binary64_3478
exp-sqrt_binary64_3541 --rgt-identity_binary64_3474 distribute-lft-out--_binary64_3440 associate--r-_binary64_3427
unpow1/2_binary64_3552 prod-exp_binary64_3537 exp-diff_binary64_3536 remove-double-neg_binary64_3476 difference-of-squares_binary64_3457 distribute-rgt1-in_binary64_3444
cos-PI/6_binary64_3596 sin-PI/6_binary64_3589 log-rec_binary64_3576 exp-cbrt_binary64_3542 1-exp_binary64_3532 exp-1-e_binary64_3531 cube-neg_binary64_3515 sqr-neg_binary64_3502 rem-square-sqrt_binary64_3500 cancel-sign-sub_binary64_3453 count-2_binary64_3436
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_3751 erf-erfc_binary64_3750 erf-odd_binary64_3749 if-if-and-not_binary64_3748 if-if-and_binary64_3747 if-if-or-not_binary64_3746 if-if-or_binary64_3745 if-not_binary64_3744 if-same_binary64_3743 if-false_binary64_3742 if-true_binary64_3741 not-gte_binary64_3740 not-lte_binary64_3739 not-gt_binary64_3738 not-lt_binary64_3737 gte-same_binary64_3736 lte-same_binary64_3735 gt-same_binary64_3734 lt-same_binary64_3733 sinh---cosh_binary64_3680 sinh-+-cosh_binary64_3679 sinh-cosh_binary64_3678 tanh-def-c_binary64_3677 tanh-def-b_binary64_3676 tanh-def-a_binary64_3675 cosh-def_binary64_3674 sinh-def_binary64_3673 tan-neg_binary64_3620 cos-neg_binary64_3619 sin-neg_binary64_3618 tan-0_binary64_3617 cos-0_binary64_3616 sin-0_binary64_3615 hang-m-tan_binary64_3614 hang-p-tan_binary64_3613 hang-m0-tan_binary64_3612 hang-p0-tan_binary64_3611 hang-0m-tan_binary64_3610 hang-0p-tan_binary64_3609 tan-+PI/2_binary64_3608 tan-+PI_binary64_3607 tan-PI_binary64_3606 tan-PI/3_binary64_3605 tan-PI/4_binary64_3604 tan-PI/6_binary64_3603 cos-+PI/2_binary64_3602 cos-+PI_binary64_3601 cos-PI_binary64_3600 cos-PI/2_binary64_3599 cos-PI/3_binary64_3598 cos-PI/4_binary64_3597 sin-+PI/2_binary64_3595 sin-+PI_binary64_3594 sin-PI_binary64_3593 sin-PI/2_binary64_3592 sin-PI/3_binary64_3591 sin-PI/4_binary64_3590 sub-1-sin_binary64_3588 sub-1-cos_binary64_3587 -1-add-sin_binary64_3586 -1-add-cos_binary64_3585 1-sub-sin_binary64_3584 1-sub-cos_binary64_3583 cos-sin-sum_binary64_3582 log-E_binary64_3578 log-pow_binary64_3577 pow-base-0_binary64_3572 unpow1/3_binary64_3555 unpow2_binary64_3553 exp-to-pow_binary64_3550 pow-base-1_binary64_3548 unpow0_binary64_3547 unpow1_binary64_3546 unpow-1_binary64_3545 exp-lft-cube_binary64_3544 exp-lft-sqr_binary64_3543 div-exp_binary64_3539 rec-exp_binary64_3538 exp-neg_binary64_3535 e-exp-1_binary64_3533 exp-0_binary64_3530 rem-log-exp_binary64_3529 rem-exp-log_binary64_3528 rem-3cbrt-rft_binary64_3514 rem-3cbrt-lft_binary64_3513 rem-cbrt-cube_binary64_3512 rem-cube-cbrt_binary64_3511 sqr-abs_binary64_3503 mul-1-neg_binary64_3480 +-lft-identity_binary64_3472 div0_binary64_3469 *-inverses_binary64_3468 +-inverses_binary64_3467 lft-mult-inverse_binary64_3466 rgt-mult-inverse_binary64_3465 remove-double-div_binary64_3464 difference-of-sqr--1_binary64_3459 difference-of-sqr-1_binary64_3458 distribute-frac-neg_binary64_3451 distribute-lft1-in_binary64_3443
Counts
101 → 50
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01152227
12522038
26112024
314972003
437062003
546902003
648822003

prune94.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New50050
Fresh011
Picked011
Done011
Total50353
Error
0b
Counts
53 → 3
Compiler

Compiled 1444 to 989 computations (31.5% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))
1.0b
(*.f64 1/3 (acos.f64 (/.f64 g h)))
1.0b
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) 3))
1.0b
(pow.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) 3)

rewrite103.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
14×add-sqr-sqrt_binary64_3510
12×add-cube-cbrt_binary64_3523 *-un-lft-identity_binary64_3488 cbrt-prod_binary64_3519
pow1_binary64_3549 add-exp-log_binary64_3526 add-cbrt-cube_binary64_3524
unpow-prod-down_binary64_3567 cube-prod_binary64_3516
add-log-exp_binary64_3527
pow-unpow_binary64_3565 associate-*l*_binary64_3429 associate-*r*_binary64_3428
unpow3_binary64_3554 cube-mult_binary64_3518 sqr-pow_binary64_3460
pow-pow_binary64_3560 pow-to-exp_binary64_3557 pow-exp_binary64_3556 rem-cube-cbrt_binary64_3511 pow1/3_binary64_3570 rem-cbrt-cube_binary64_3512 pow-prod-down_binary64_3559 prod-exp_binary64_3537 cbrt-unprod_binary64_3521 unswap-sqr_binary64_3456 *-commutative_binary64_3419
Counts
4 → 69
Calls

4 calls:

4.0ms
(*.f64 1/3 (acos.f64 (/.f64 g h)))
3.0ms
(pow.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) 3)
3.0ms
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) 3))
2.0ms
(cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))
Compiler

Compiled 1347 to 946 computations (29.8% saved)

series682.0ms (9.8%)

Error
0b
Counts
4 → 24
Calls

4 calls:

312.0ms
(pow.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) 3)
151.0ms
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) 3))
149.0ms
(cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))
67.0ms
(*.f64 1/3 (acos.f64 (/.f64 g h)))
Compiler

Compiled 711 to 707 computations (0.6% saved)

simplify118.0ms (1.7%)

Algorithm
egg-herbie
Rules
550×sqr-pow_binary64_3460
458×log-prod_binary64_3574
430×exp-prod_binary64_3540
412×associate-*l*_binary64_3429
344×cube-prod_binary64_3516
331×associate-*r*_binary64_3428
231×unswap-sqr_binary64_3456
152×pow-sqr_binary64_3461
149×swap-sqr_binary64_3455
143×unpow3_binary64_3554
103×cube-mult_binary64_3518
93×pow-plus_binary64_3551
79×log-pow_binary64_3577
61×associate-/l*_binary64_3433
49×distribute-rgt-in_binary64_3438
44×distribute-lft-in_binary64_3437
42×*-commutative_binary64_3419
41×associate-+l+_binary64_3421
38×associate-+r+_binary64_3420
22×cube-unmult_binary64_3525
18×*-rgt-identity_binary64_3478
17×*-lft-identity_binary64_3477
12×distribute-rgt-out_binary64_3441 associate-/l/_binary64_3435
11×count-2_binary64_3436
rem-sqrt-square_binary64_3501
unpow2_binary64_3553
associate-*r/_binary64_3430
distribute-lft-out_binary64_3439
unpow1_binary64_3546 rem-cbrt-cube_binary64_3512
associate-*l/_binary64_3431 +-commutative_binary64_3418
/-rgt-identity_binary64_3479 associate-/r/_binary64_3434
unpow1/3_binary64_3555 unpow1/2_binary64_3552 1-exp_binary64_3532 rem-3cbrt-lft_binary64_3513 rem-cube-cbrt_binary64_3511 rem-square-sqrt_binary64_3500 times-frac_binary64_3494
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_3751 erf-erfc_binary64_3750 erf-odd_binary64_3749 if-if-and-not_binary64_3748 if-if-and_binary64_3747 if-if-or-not_binary64_3746 if-if-or_binary64_3745 if-not_binary64_3744 if-same_binary64_3743 if-false_binary64_3742 if-true_binary64_3741 not-gte_binary64_3740 not-lte_binary64_3739 not-gt_binary64_3738 not-lt_binary64_3737 gte-same_binary64_3736 lte-same_binary64_3735 gt-same_binary64_3734 lt-same_binary64_3733 sinh---cosh_binary64_3680 sinh-+-cosh_binary64_3679 sinh-cosh_binary64_3678 tanh-def-c_binary64_3677 tanh-def-b_binary64_3676 tanh-def-a_binary64_3675 cosh-def_binary64_3674 sinh-def_binary64_3673 tan-neg_binary64_3620 cos-neg_binary64_3619 sin-neg_binary64_3618 tan-0_binary64_3617 cos-0_binary64_3616 sin-0_binary64_3615 hang-m-tan_binary64_3614 hang-p-tan_binary64_3613 hang-m0-tan_binary64_3612 hang-p0-tan_binary64_3611 hang-0m-tan_binary64_3610 hang-0p-tan_binary64_3609 tan-+PI/2_binary64_3608 tan-+PI_binary64_3607 tan-PI_binary64_3606 tan-PI/3_binary64_3605 tan-PI/4_binary64_3604 tan-PI/6_binary64_3603 cos-+PI/2_binary64_3602 cos-+PI_binary64_3601 cos-PI_binary64_3600 cos-PI/2_binary64_3599 cos-PI/3_binary64_3598 cos-PI/4_binary64_3597 cos-PI/6_binary64_3596 sin-+PI/2_binary64_3595 sin-+PI_binary64_3594 sin-PI_binary64_3593 sin-PI/2_binary64_3592 sin-PI/3_binary64_3591 sin-PI/4_binary64_3590 sin-PI/6_binary64_3589 sub-1-sin_binary64_3588 sub-1-cos_binary64_3587 -1-add-sin_binary64_3586 -1-add-cos_binary64_3585 1-sub-sin_binary64_3584 1-sub-cos_binary64_3583 cos-sin-sum_binary64_3582 log-E_binary64_3578 log-rec_binary64_3576 log-div_binary64_3575 pow-base-0_binary64_3572 exp-to-pow_binary64_3550 pow-base-1_binary64_3548 unpow0_binary64_3547 unpow-1_binary64_3545 exp-lft-cube_binary64_3544 exp-lft-sqr_binary64_3543 exp-cbrt_binary64_3542 exp-sqrt_binary64_3541 div-exp_binary64_3539 rec-exp_binary64_3538 prod-exp_binary64_3537 exp-diff_binary64_3536 exp-neg_binary64_3535 exp-sum_binary64_3534 e-exp-1_binary64_3533 exp-1-e_binary64_3531 exp-0_binary64_3530 rem-log-exp_binary64_3529 rem-exp-log_binary64_3528 cube-div_binary64_3517 cube-neg_binary64_3515 rem-3cbrt-rft_binary64_3514 sqr-abs_binary64_3503 sqr-neg_binary64_3502 div-sub_binary64_3493 neg-mul-1_binary64_3484 neg-sub0_binary64_3483 unsub-neg_binary64_3482 sub-neg_binary64_3481 mul-1-neg_binary64_3480 remove-double-neg_binary64_3476 sub0-neg_binary64_3475 --rgt-identity_binary64_3474 +-rgt-identity_binary64_3473 +-lft-identity_binary64_3472 mul0-rgt_binary64_3471 mul0-lft_binary64_3470 div0_binary64_3469 *-inverses_binary64_3468 +-inverses_binary64_3467 lft-mult-inverse_binary64_3466 rgt-mult-inverse_binary64_3465 remove-double-div_binary64_3464 difference-of-sqr--1_binary64_3459 difference-of-sqr-1_binary64_3458 difference-of-squares_binary64_3457 cancel-sign-sub-inv_binary64_3454 cancel-sign-sub_binary64_3453 distribute-neg-frac_binary64_3452 distribute-frac-neg_binary64_3451 distribute-neg-out_binary64_3450 distribute-neg-in_binary64_3449 distribute-rgt-neg-out_binary64_3448 distribute-lft-neg-out_binary64_3447 distribute-rgt-neg-in_binary64_3446 distribute-lft-neg-in_binary64_3445 distribute-rgt1-in_binary64_3444 distribute-lft1-in_binary64_3443 distribute-rgt-out--_binary64_3442 distribute-lft-out--_binary64_3440 associate-/r*_binary64_3432 associate--r-_binary64_3427 associate--l-_binary64_3426 associate--l+_binary64_3425 associate--r+_binary64_3424 associate-+l-_binary64_3423 associate-+r-_binary64_3422
Counts
93 → 41
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0831530
11331365
23311352
315991352
433041349
547651349
648701349

prune26.0ms (0.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New41041
Fresh000
Picked011
Done022
Total41344
Error
0b
Counts
44 → 3
Compiler

Compiled 386 to 282 computations (26.9% saved)

regimes2.0s (28.6%)

Accuracy

Total 0.0b remaining (93.2%)

Threshold costs 0.0b (93.2%)

Compiler

Compiled 21761 to 19341 computations (11.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64_3419
neg-mul-1_binary64_3484 neg-sub0_binary64_3483
+-commutative_binary64_3418
1-exp_binary64_3532 sub-neg_binary64_3481 +-rgt-identity_binary64_3473 distribute-rgt-neg-out_binary64_3448 distribute-lft-neg-out_binary64_3447 distribute-rgt-neg-in_binary64_3446 distribute-lft-neg-in_binary64_3445
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_3748 if-if-and_binary64_3747 if-if-or-not_binary64_3746 if-if-or_binary64_3745 if-not_binary64_3744 if-same_binary64_3743 if-false_binary64_3742 if-true_binary64_3741 tan-0_binary64_3617 cos-0_binary64_3616 sin-0_binary64_3615 unpow1_binary64_3546 e-exp-1_binary64_3533 exp-1-e_binary64_3531 exp-0_binary64_3530 sqr-abs_binary64_3503 sqr-neg_binary64_3502 unsub-neg_binary64_3482 mul-1-neg_binary64_3480 /-rgt-identity_binary64_3479 *-rgt-identity_binary64_3478 *-lft-identity_binary64_3477 remove-double-neg_binary64_3476 sub0-neg_binary64_3475 --rgt-identity_binary64_3474 +-lft-identity_binary64_3472 cancel-sign-sub-inv_binary64_3454 cancel-sign-sub_binary64_3453 distribute-neg-frac_binary64_3452 distribute-frac-neg_binary64_3451 distribute-neg-out_binary64_3450 distribute-neg-in_binary64_3449
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01831
12531
23029
33529
43729
53829
63629

end2.0ms (0%)

Compiler

Compiled 18 to 18 computations (0% saved)

sample1.1s (15.4%)

Algorithm
intervals
Results
631.0ms8000×body128valid
35.0ms563×body128nan
Compiler

Compiled 92 to 96 computations (-4.3% saved)

Profiling

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