Details

Time bar (total: 507.0ms)

analyze149.0ms (29.5%)

Algorithm
search
egg-herbie
Rules
associate-*l*_binary64_3429 *-commutative_binary64_3419
associate-*r*_binary64_3428
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 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 /-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 +-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 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-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-rgt-out_binary64_3441 distribute-lft-out--_binary64_3440 distribute-lft-out_binary64_3439 distribute-rgt-in_binary64_3438 distribute-lft-in_binary64_3437 count-2_binary64_3436 associate-/l/_binary64_3435 associate-/r/_binary64_3434 associate-/l*_binary64_3433 associate-/r*_binary64_3432 associate-*l/_binary64_3431 associate-*r/_binary64_3430 associate--r-_binary64_3427 associate--l-_binary64_3426 associate--l+_binary64_3425 associate--r+_binary64_3424 associate-+l-_binary64_3423 associate-+r-_binary64_3422 associate-+l+_binary64_3421 associate-+r+_binary64_3420 +-commutative_binary64_3418
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
177
2107
3107
011
111
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
62.5%12.5%25%5
68.7%6.2%25%6
71.8%3.1%25%7
73.4%1.6%25%8
74.2%0.8%25%9
74.6%0.4%25%10
74.8%0.2%25%11
74.8%0.1%25.1%12
74.8%0%25.1%13
74.8%0%25.1%14
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample10.0ms (1.9%)

Algorithm
intervals
Results
3.0ms256×body128valid
Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify8.0ms (1.6%)

Algorithm
egg-herbie
Rules
associate-*l*_binary64_3429 *-commutative_binary64_3419
associate-*r*_binary64_3428
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 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 /-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 +-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 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-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-rgt-out_binary64_3441 distribute-lft-out--_binary64_3440 distribute-lft-out_binary64_3439 distribute-rgt-in_binary64_3438 distribute-lft-in_binary64_3437 count-2_binary64_3436 associate-/l/_binary64_3435 associate-/r/_binary64_3434 associate-/l*_binary64_3433 associate-/r*_binary64_3432 associate-*l/_binary64_3431 associate-*r/_binary64_3430 associate--r-_binary64_3427 associate--l-_binary64_3426 associate--l+_binary64_3425 associate--r+_binary64_3424 associate-+l-_binary64_3423 associate-+r-_binary64_3422 associate-+l+_binary64_3421 associate-+r+_binary64_3420 +-commutative_binary64_3418
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
177
2107
3107

prune2.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
0b
Counts
2 → 1
Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.6%)

rewrite0.0ms (0.1%)

Algorithm
rewrite-expression-head
Error
0b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0.1%)

Error
0b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

simplify7.0ms (1.5%)

Algorithm
egg-herbie
Rules
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 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 /-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 +-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 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-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-rgt-out_binary64_3441 distribute-lft-out--_binary64_3440 distribute-lft-out_binary64_3439 distribute-rgt-in_binary64_3438 distribute-lft-in_binary64_3437 count-2_binary64_3436 associate-/l/_binary64_3435 associate-/r/_binary64_3434 associate-/l*_binary64_3433 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_3424 associate-+l-_binary64_3423 associate-+r-_binary64_3422 associate-+l+_binary64_3421 associate-+r+_binary64_3420 *-commutative_binary64_3419 +-commutative_binary64_3418
Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
100

prune1.0ms (0.3%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Error
0b
Counts
1 → 1
Compiler

Compiled 5 to 4 computations (20% saved)

simplify2.0ms (0.5%)

Algorithm
egg-herbie
Rules
*-commutative_binary64_3419
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 1-exp_binary64_3532 exp-1-e_binary64_3531 exp-0_binary64_3530 sqr-abs_binary64_3503 sqr-neg_binary64_3502 neg-mul-1_binary64_3484 neg-sub0_binary64_3483 unsub-neg_binary64_3482 sub-neg_binary64_3481 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 +-rgt-identity_binary64_3473 +-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 distribute-rgt-neg-out_binary64_3448 distribute-lft-neg-out_binary64_3447 distribute-rgt-neg-in_binary64_3446 distribute-lft-neg-in_binary64_3445 +-commutative_binary64_3418
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
177
277

end0.0ms (0%)

sample322.0ms (63.7%)

Algorithm
intervals
Results
122.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 16 to 14 computations (12.5% saved)

Profiling

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