Details

Time bar (total: 4.4s)

analyze17.0ms (0.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
74.9%25%0.1%4
74.9%25%0.1%5
87.4%12.5%0.1%6
87.4%12.5%0.1%7
93.7%6.2%0.1%8
93.7%6.2%0.1%9
96.8%3.1%0.1%10
96.8%3.1%0.1%11
98.3%1.6%0.1%12
98.3%1.6%0.1%13
99.1%0.8%0.1%14
Compiler

Compiled 6 to 6 computations (0% saved)

sample19.0ms (0.4%)

Algorithm
intervals
Results
10.0ms256×body128valid
Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify660.0ms (14.9%)

Algorithm
egg-herbie
Rules
652×exp-prod_binary64_3540
462×associate-/l*_binary64_3433
423×cube-div_binary64_3517
295×associate-*r/_binary64_3430
231×swap-sqr_binary64_3455
221×times-frac_binary64_3494
219×cancel-sign-sub-inv_binary64_3454
217×*-commutative_binary64_3419
216×exp-sum_binary64_3534
184×distribute-neg-frac_binary64_3452
169×associate-/l/_binary64_3435
168×associate-/r*_binary64_3432
109×exp-diff_binary64_3536
102×distribute-rgt1-in_binary64_3444
95×associate-+l+_binary64_3421
82×associate-/r/_binary64_3434
81×associate-+r+_binary64_3420
79×distribute-lft-neg-in_binary64_3445 associate--l+_binary64_3425
74×distribute-rgt-neg-in_binary64_3446 associate--r+_binary64_3424
73×distribute-rgt-neg-out_binary64_3448
68×pow-plus_binary64_3551
57×associate-+l-_binary64_3423
56×associate-+r-_binary64_3422
55×sub-neg_binary64_3481
51×associate--l-_binary64_3426
49×distribute-neg-in_binary64_3449
46×unsub-neg_binary64_3482
45×associate--r-_binary64_3427
43×sqr-pow_binary64_3460
42×neg-mul-1_binary64_3484
40×distribute-lft-neg-out_binary64_3447
39×neg-sub0_binary64_3483
38×distribute-rgt-in_binary64_3438
36×exp-neg_binary64_3535
24×+-commutative_binary64_3418
23×distribute-frac-neg_binary64_3451
19×distribute-rgt-out_binary64_3441 associate-*r*_binary64_3428
18×cube-unmult_binary64_3525
16×pow-base-1_binary64_3548 distribute-lft-in_binary64_3437
15×pow-sqr_binary64_3461
11×exp-lft-sqr_binary64_3543
10×distribute-rgt-out--_binary64_3442
remove-double-neg_binary64_3476 unswap-sqr_binary64_3456
sub0-neg_binary64_3475
*-rgt-identity_binary64_3478 *-lft-identity_binary64_3477 +-lft-identity_binary64_3472 count-2_binary64_3436
+-rgt-identity_binary64_3473 associate-*l*_binary64_3429
div-sub_binary64_3493 distribute-neg-out_binary64_3450 distribute-lft1-in_binary64_3443
sqr-neg_binary64_3502 --rgt-identity_binary64_3474 +-inverses_binary64_3467 distribute-lft-out--_binary64_3440 distribute-lft-out_binary64_3439 associate-*l/_binary64_3431
cube-prod_binary64_3516 mul0-lft_binary64_3470
unpow3_binary64_3554 1-exp_binary64_3532 exp-1-e_binary64_3531 cube-neg_binary64_3515 div0_binary64_3469 difference-of-sqr--1_binary64_3459 difference-of-squares_binary64_3457
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 unpow2_binary64_3553 unpow1/2_binary64_3552 exp-to-pow_binary64_3550 unpow0_binary64_3547 unpow1_binary64_3546 unpow-1_binary64_3545 exp-lft-cube_binary64_3544 exp-cbrt_binary64_3542 exp-sqrt_binary64_3541 div-exp_binary64_3539 rec-exp_binary64_3538 prod-exp_binary64_3537 e-exp-1_binary64_3533 exp-0_binary64_3530 rem-log-exp_binary64_3529 rem-exp-log_binary64_3528 cube-mult_binary64_3518 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-sqrt-square_binary64_3501 rem-square-sqrt_binary64_3500 mul-1-neg_binary64_3480 /-rgt-identity_binary64_3479 mul0-rgt_binary64_3471 *-inverses_binary64_3468 lft-mult-inverse_binary64_3466 rgt-mult-inverse_binary64_3465 remove-double-div_binary64_3464 difference-of-sqr-1_binary64_3458 cancel-sign-sub_binary64_3453
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
2157
3237
4377
5567
61107
72717
818087
933257

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)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(-.f64 x (/.f64 y 200))

rewrite38.0ms (0.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
13×add-sqr-sqrt_binary64_3510 cancel-sign-sub-inv_binary64_3454
10×*-un-lft-identity_binary64_3488 times-frac_binary64_3494
add-cube-cbrt_binary64_3523
add-log-exp_binary64_3527
difference-of-squares_binary64_3457
diff-log_binary64_3580 pow1_binary64_3549 add-exp-log_binary64_3526 add-cbrt-cube_binary64_3524 flip3--_binary64_3492 sub-neg_binary64_3481 flip--_binary64_3463 div-inv_binary64_3485 distribute-lft-out--_binary64_3440
Counts
1 → 27
Calls

1 calls:

9.0ms
(-.f64 x (/.f64 y 200))
Compiler

Compiled 353 to 244 computations (30.9% saved)

series82.0ms (1.9%)

Error
0.0b
Counts
1 → 12
Calls

1 calls:

76.0ms
(-.f64 x (/.f64 y 200))
Compiler

Compiled 114 to 104 computations (8.8% saved)

simplify285.0ms (6.4%)

Algorithm
egg-herbie
Rules
570×unsub-neg_binary64_3482
354×neg-mul-1_binary64_3484
351×neg-sub0_binary64_3483
316×exp-prod_binary64_3540
286×div-sub_binary64_3493
239×associate-*l*_binary64_3429
219×associate-/l*_binary64_3433
196×associate-*r*_binary64_3428
184×associate-*l/_binary64_3431
165×distribute-lft-neg-out_binary64_3447
131×times-frac_binary64_3494
130×distribute-rgt-neg-out_binary64_3448
129×associate-*r/_binary64_3430
118×exp-diff_binary64_3536
108×distribute-frac-neg_binary64_3451
89×sub-neg_binary64_3481
86×distribute-neg-frac_binary64_3452
83×cube-prod_binary64_3516 cancel-sign-sub-inv_binary64_3454
81×sqr-neg_binary64_3502
80×*-commutative_binary64_3419
76×associate-/l/_binary64_3435
75×distribute-rgt-in_binary64_3438
73×distribute-lft-in_binary64_3437
71×distribute-rgt-neg-in_binary64_3446
70×cube-div_binary64_3517
59×associate-/r*_binary64_3432
58×exp-sum_binary64_3534
55×exp-neg_binary64_3535
54×+-commutative_binary64_3418
51×swap-sqr_binary64_3455
48×sqr-pow_binary64_3460 associate-+l-_binary64_3423
46×distribute-lft-neg-in_binary64_3445
41×distribute-lft-out_binary64_3439
40×unswap-sqr_binary64_3456 distribute-neg-out_binary64_3450 associate--l-_binary64_3426
39×*-lft-identity_binary64_3477
38×associate-+r+_binary64_3420
34×associate-/r/_binary64_3434
29×unpow3_binary64_3554 associate-+l+_binary64_3421
27×mul0-rgt_binary64_3471 mul0-lft_binary64_3470
23×*-rgt-identity_binary64_3478
21×cube-mult_binary64_3518
20×difference-of-squares_binary64_3457
18×div0_binary64_3469 pow-sqr_binary64_3461
15×/-rgt-identity_binary64_3479
14×cube-unmult_binary64_3525 distribute-rgt-out_binary64_3441
10×div-exp_binary64_3539 remove-double-div_binary64_3464
pow-plus_binary64_3551 prod-exp_binary64_3537
associate--r+_binary64_3424
rem-sqrt-square_binary64_3501 associate-+r-_binary64_3422
sub0-neg_binary64_3475
+-rgt-identity_binary64_3473
rec-exp_binary64_3538 rem-square-sqrt_binary64_3500 mul-1-neg_binary64_3480
log-prod_binary64_3574 rem-3cbrt-lft_binary64_3513 distribute-neg-in_binary64_3449
pow-base-1_binary64_3548 1-exp_binary64_3532 exp-1-e_binary64_3531 cube-neg_binary64_3515 rem-3cbrt-rft_binary64_3514 rem-cbrt-cube_binary64_3512 --rgt-identity_binary64_3474 distribute-rgt1-in_binary64_3444 distribute-rgt-out--_binary64_3442 distribute-lft-out--_binary64_3440 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 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 pow-base-0_binary64_3572 unpow1/3_binary64_3555 unpow2_binary64_3553 unpow1/2_binary64_3552 exp-to-pow_binary64_3550 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 e-exp-1_binary64_3533 exp-0_binary64_3530 rem-log-exp_binary64_3529 rem-exp-log_binary64_3528 rem-cube-cbrt_binary64_3511 sqr-abs_binary64_3503 remove-double-neg_binary64_3476 +-lft-identity_binary64_3472 *-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 distribute-lft1-in_binary64_3443 associate--r-_binary64_3427 associate--l+_binary64_3425
Counts
39 → 24
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
091350
1245335
2678335
32234335
43587335

prune18.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New22224
Fresh000
Picked011
Done000
Total22325
Error
0.0b
Counts
25 → 3
Compiler

Compiled 193 to 121 computations (37.3% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 x (*.f64 y 1/200))
0.1b
(*.f64 y 1/200)

rewrite32.0ms (0.7%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-sqr-sqrt_binary64_3510
pow1_binary64_3549 add-exp-log_binary64_3526 add-log-exp_binary64_3527 add-cbrt-cube_binary64_3524 add-cube-cbrt_binary64_3523 *-un-lft-identity_binary64_3488
associate-*l*_binary64_3429 associate-*r*_binary64_3428
pow-prod-down_binary64_3559 prod-exp_binary64_3537 cbrt-unprod_binary64_3521 unswap-sqr_binary64_3456 *-commutative_binary64_3419 diff-log_binary64_3580 flip3--_binary64_3492 sub-neg_binary64_3481 flip--_binary64_3463 cancel-sign-sub-inv_binary64_3454
Counts
2 → 30
Calls

2 calls:

5.0ms
(*.f64 y 1/200)
3.0ms
(-.f64 x (*.f64 y 1/200))
Compiler

Compiled 315 to 220 computations (30.2% saved)

series119.0ms (2.7%)

Error
0.0b
Counts
2 → 15
Calls

2 calls:

84.0ms
(-.f64 x (*.f64 y 1/200))
28.0ms
(*.f64 y 1/200)
Compiler

Compiled 159 to 143 computations (10.1% saved)

simplify187.0ms (4.2%)

Algorithm
egg-herbie
Rules
1014×unsub-neg_binary64_3482
396×times-frac_binary64_3494
205×neg-sub0_binary64_3483
202×distribute-rgt-in_binary64_3438
197×neg-mul-1_binary64_3484
194×distribute-rgt-neg-in_binary64_3446
175×associate-*l*_binary64_3429
171×distribute-lft-in_binary64_3437
164×distribute-lft-neg-in_binary64_3445
155×distribute-rgt-neg-out_binary64_3448 distribute-rgt-out_binary64_3441
151×exp-prod_binary64_3540
150×distribute-lft-neg-out_binary64_3447
140×sub-neg_binary64_3481
134×associate-*r*_binary64_3428
131×cancel-sign-sub-inv_binary64_3454
127×exp-to-pow_binary64_3550
120×unswap-sqr_binary64_3456
117×*-commutative_binary64_3419
96×sqr-pow_binary64_3460
87×exp-sum_binary64_3534
71×+-commutative_binary64_3418
54×associate-/l*_binary64_3433
53×distribute-neg-out_binary64_3450
51×pow-sqr_binary64_3461
44×distribute-neg-in_binary64_3449
42×associate-+l-_binary64_3423
38×difference-of-squares_binary64_3457
31×*-lft-identity_binary64_3477 associate-+r+_binary64_3420
30×log-prod_binary64_3574 cube-prod_binary64_3516
29×*-rgt-identity_binary64_3478
28×mul0-rgt_binary64_3471 mul0-lft_binary64_3470
26×pow-plus_binary64_3551 associate-/r*_binary64_3432
25×associate-/l/_binary64_3435
24×div-sub_binary64_3493
23×log-pow_binary64_3577 associate-+l+_binary64_3421
21×associate--r+_binary64_3424
20×exp-diff_binary64_3536 swap-sqr_binary64_3455
18×associate-*r/_binary64_3430
15×cube-unmult_binary64_3525 associate-+r-_binary64_3422
14×sqr-neg_binary64_3502
12×distribute-rgt1-in_binary64_3444
11×associate--l+_binary64_3425
10×exp-neg_binary64_3535
associate-*l/_binary64_3431
mul-1-neg_binary64_3480 +-rgt-identity_binary64_3473 distribute-rgt-out--_binary64_3442
associate-/r/_binary64_3434
unpow3_binary64_3554 sub0-neg_binary64_3475
pow-base-1_binary64_3548 div-exp_binary64_3539
distribute-frac-neg_binary64_3451 distribute-lft-out_binary64_3439
cube-mult_binary64_3518 cube-div_binary64_3517 cube-neg_binary64_3515 distribute-lft1-in_binary64_3443
log-div_binary64_3575 exp-sqrt_binary64_3541 /-rgt-identity_binary64_3479 --rgt-identity_binary64_3474
exp-lft-sqr_binary64_3543 prod-exp_binary64_3537 1-exp_binary64_3532 exp-1-e_binary64_3531 rem-log-exp_binary64_3529 remove-double-neg_binary64_3476 +-lft-identity_binary64_3472 *-inverses_binary64_3468 rgt-mult-inverse_binary64_3465 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 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 pow-base-0_binary64_3572 unpow1/3_binary64_3555 unpow2_binary64_3553 unpow1/2_binary64_3552 unpow0_binary64_3547 unpow1_binary64_3546 unpow-1_binary64_3545 exp-lft-cube_binary64_3544 exp-cbrt_binary64_3542 rec-exp_binary64_3538 e-exp-1_binary64_3533 exp-0_binary64_3530 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-sqrt-square_binary64_3501 rem-square-sqrt_binary64_3500 div0_binary64_3469 +-inverses_binary64_3467 lft-mult-inverse_binary64_3466 remove-double-div_binary64_3464 difference-of-sqr--1_binary64_3459 difference-of-sqr-1_binary64_3458 distribute-neg-frac_binary64_3452 distribute-lft-out--_binary64_3440 associate--r-_binary64_3427 associate--l-_binary64_3426
Counts
45 → 42
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059353
1127338
2352338
3851338
41689338
52919338

prune41.0ms (0.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New41142
Fresh011
Picked011
Done011
Total41445
Error
0.0b
Counts
45 → 4
Compiler

Compiled 563 to 385 computations (31.6% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (*.f64 y 1/200)) (cbrt.f64 (*.f64 y 1/200)))
0.6b
(cbrt.f64 (*.f64 1/200 y))
0.6b
(cbrt.f64 (*.f64 y 1/200))
0.6b
(cbrt.f64 (*.f64 y 1/200))

rewrite97.0ms (2.2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
11×pow1_binary64_3549
10×add-sqr-sqrt_binary64_3510
pow1/3_binary64_3570
add-cube-cbrt_binary64_3523 *-un-lft-identity_binary64_3488
cbrt-prod_binary64_3519
add-exp-log_binary64_3526
add-log-exp_binary64_3527 add-cbrt-cube_binary64_3524 swap-sqr_binary64_3455 associate-*l*_binary64_3429 associate-*r*_binary64_3428
pow-prod-down_binary64_3559 pow-prod-up_binary64_3558 pow-sqr_binary64_3461
pow2_binary64_3569 pow-plus_binary64_3551 prod-exp_binary64_3537 cbrt-unprod_binary64_3521 unswap-sqr_binary64_3456 *-commutative_binary64_3419
Counts
4 → 58
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 (*.f64 y 1/200)) (cbrt.f64 (*.f64 y 1/200)))
2.0ms
(cbrt.f64 (*.f64 y 1/200))
2.0ms
(cbrt.f64 (*.f64 y 1/200))
2.0ms
(cbrt.f64 (*.f64 1/200 y))
Compiler

Compiled 1215 to 946 computations (22.1% saved)

series617.0ms (13.9%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

188.0ms
(*.f64 (cbrt.f64 (*.f64 y 1/200)) (cbrt.f64 (*.f64 y 1/200)))
146.0ms
(cbrt.f64 (*.f64 y 1/200))
137.0ms
(cbrt.f64 (*.f64 y 1/200))
131.0ms
(cbrt.f64 (*.f64 1/200 y))
Compiler

Compiled 657 to 572 computations (12.9% saved)

simplify488.0ms (11%)

Algorithm
egg-herbie
Rules
330×associate-/l*_binary64_3433
284×log-div_binary64_3575
283×associate-*l*_binary64_3429
278×exp-prod_binary64_3540
273×log-prod_binary64_3574
272×cube-div_binary64_3517
269×associate-/r*_binary64_3432
250×unswap-sqr_binary64_3456
245×*-commutative_binary64_3419
232×cube-prod_binary64_3516
208×associate-*r*_binary64_3428
194×sqr-pow_binary64_3460
167×associate-/r/_binary64_3434
84×pow-sqr_binary64_3461
78×swap-sqr_binary64_3455
75×distribute-rgt-in_binary64_3438
71×associate-/l/_binary64_3435
56×div-sub_binary64_3493
52×*-lft-identity_binary64_3477 distribute-lft-in_binary64_3437
47×*-rgt-identity_binary64_3478
42×times-frac_binary64_3494
41×pow-plus_binary64_3551 exp-sqrt_binary64_3541
37×exp-sum_binary64_3534
36×associate-*l/_binary64_3431
31×exp-lft-sqr_binary64_3543
30×distribute-rgt-out_binary64_3441
26×unpow3_binary64_3554
23×log-pow_binary64_3577
22×cube-unmult_binary64_3525 sub-neg_binary64_3481
21×cube-mult_binary64_3518 /-rgt-identity_binary64_3479
20×log-rec_binary64_3576 associate-*r/_binary64_3430
15×associate-+l+_binary64_3421
14×rem-sqrt-square_binary64_3501
13×associate-+r+_binary64_3420
11×unsub-neg_binary64_3482 distribute-lft-out_binary64_3439
10×exp-to-pow_binary64_3550
exp-diff_binary64_3536
sub0-neg_binary64_3475 associate-+l-_binary64_3423
neg-mul-1_binary64_3484
prod-exp_binary64_3537
count-2_binary64_3436
unpow2_binary64_3553 pow-base-1_binary64_3548 div-exp_binary64_3539 neg-sub0_binary64_3483 remove-double-div_binary64_3464 distribute-rgt1-in_binary64_3444 distribute-rgt-out--_binary64_3442
unpow1/3_binary64_3555 unpow1_binary64_3546 rem-3cbrt-lft_binary64_3513 cancel-sign-sub-inv_binary64_3454 distribute-lft-neg-in_binary64_3445 associate-+r-_binary64_3422
rec-exp_binary64_3538 +-lft-identity_binary64_3472 mul0-lft_binary64_3470 +-inverses_binary64_3467 associate--l-_binary64_3426 associate--l+_binary64_3425 +-commutative_binary64_3418
1-exp_binary64_3532 exp-1-e_binary64_3531 rem-log-exp_binary64_3529 rem-exp-log_binary64_3528 rem-3cbrt-rft_binary64_3514 rem-cbrt-cube_binary64_3512 rem-square-sqrt_binary64_3500 mul-1-neg_binary64_3480 +-rgt-identity_binary64_3473 mul0-rgt_binary64_3471 *-inverses_binary64_3468 distribute-neg-out_binary64_3450 distribute-rgt-neg-in_binary64_3446
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 pow-base-0_binary64_3572 unpow1/2_binary64_3552 unpow0_binary64_3547 unpow-1_binary64_3545 exp-lft-cube_binary64_3544 exp-cbrt_binary64_3542 exp-neg_binary64_3535 e-exp-1_binary64_3533 exp-0_binary64_3530 cube-neg_binary64_3515 rem-cube-cbrt_binary64_3511 sqr-abs_binary64_3503 sqr-neg_binary64_3502 remove-double-neg_binary64_3476 --rgt-identity_binary64_3474 div0_binary64_3469 lft-mult-inverse_binary64_3466 rgt-mult-inverse_binary64_3465 difference-of-sqr--1_binary64_3459 difference-of-sqr-1_binary64_3458 difference-of-squares_binary64_3457 cancel-sign-sub_binary64_3453 distribute-neg-frac_binary64_3452 distribute-frac-neg_binary64_3451 distribute-neg-in_binary64_3449 distribute-rgt-neg-out_binary64_3448 distribute-lft-neg-out_binary64_3447 distribute-lft1-in_binary64_3443 distribute-lft-out--_binary64_3440 associate--r-_binary64_3427 associate--r+_binary64_3424
Counts
70 → 98
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
065724
1112713
2341711
31097704
43164634

prune158.0ms (3.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New97198
Fresh101
Picked101
Done022
Total993102
Error
0b
Counts
102 → 3
Compiler

Compiled 2242 to 1749 computations (22% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (*.f64 y 1/200))
0.6b
(cbrt.f64 (*.f64 1/200 y))
0.6b
(cbrt.f64 y)
1.0b
(cbrt.f64 1/200)

rewrite67.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
cbrt-prod_binary64_3519
add-cube-cbrt_binary64_3523 add-sqr-sqrt_binary64_3510 *-un-lft-identity_binary64_3488
pow1/3_binary64_3570 pow1_binary64_3549 add-log-exp_binary64_3527 add-exp-log_binary64_3526 add-cbrt-cube_binary64_3524
Counts
4 → 40
Calls

4 calls:

2.0ms
(cbrt.f64 (*.f64 1/200 y))
2.0ms
(cbrt.f64 (*.f64 y 1/200))
2.0ms
(cbrt.f64 1/200)
1.0ms
(cbrt.f64 y)
Compiler

Compiled 854 to 625 computations (26.8% saved)

series405.0ms (9.1%)

Error
0b
Counts
4 → 9
Calls

4 calls:

133.0ms
(cbrt.f64 (*.f64 1/200 y))
133.0ms
(cbrt.f64 (*.f64 y 1/200))
126.0ms
(cbrt.f64 y)
0.0ms
(cbrt.f64 1/200)
Compiler

Compiled 531 to 456 computations (14.1% saved)

simplify207.0ms (4.7%)

Algorithm
egg-herbie
Rules
636×unswap-sqr_binary64_3456
455×associate-*l*_binary64_3429
402×distribute-rgt-in_binary64_3438
396×distribute-lft-in_binary64_3437
346×distribute-rgt-out_binary64_3441
302×associate-*r*_binary64_3428
286×log-prod_binary64_3574
263×associate-/l*_binary64_3433
226×distribute-rgt-neg-in_binary64_3446 distribute-lft-neg-in_binary64_3445
142×associate-+l+_binary64_3421
137×associate-+r+_binary64_3420
122×associate-/l/_binary64_3435
121×cancel-sign-sub-inv_binary64_3454
103×sqr-pow_binary64_3460
86×count-2_binary64_3436
66×times-frac_binary64_3494
63×pow-sqr_binary64_3461
57×associate-/r/_binary64_3434
48×distribute-rgt1-in_binary64_3444
46×*-commutative_binary64_3419
44×associate-*l/_binary64_3431
39×associate-*r/_binary64_3430
37×neg-sub0_binary64_3483
36×cube-prod_binary64_3516 neg-mul-1_binary64_3484
31×log-pow_binary64_3577 exp-prod_binary64_3540
30×distribute-lft-out_binary64_3439
25×rem-sqrt-square_binary64_3501
24×unsub-neg_binary64_3482
18×distribute-lft1-in_binary64_3443
17×distribute-rgt-neg-out_binary64_3448 distribute-lft-neg-out_binary64_3447
15×sub-neg_binary64_3481
14×cube-unmult_binary64_3525
12×pow-plus_binary64_3551
unpow3_binary64_3554
mul0-rgt_binary64_3471 mul0-lft_binary64_3470
swap-sqr_binary64_3455
cube-mult_binary64_3518 rem-3cbrt-lft_binary64_3513 +-commutative_binary64_3418
/-rgt-identity_binary64_3479
unpow1/3_binary64_3555
exp-sum_binary64_3534 1-exp_binary64_3532 rem-cbrt-cube_binary64_3512 mul-1-neg_binary64_3480 *-rgt-identity_binary64_3478 *-lft-identity_binary64_3477 sub0-neg_binary64_3475 --rgt-identity_binary64_3474 +-rgt-identity_binary64_3473 *-inverses_binary64_3468 associate-/r*_binary64_3432 associate-+l-_binary64_3423 associate-+r-_binary64_3422
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 unpow2_binary64_3553 unpow1/2_binary64_3552 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 div-exp_binary64_3539 rec-exp_binary64_3538 prod-exp_binary64_3537 exp-diff_binary64_3536 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-div_binary64_3517 cube-neg_binary64_3515 rem-3cbrt-rft_binary64_3514 rem-cube-cbrt_binary64_3511 sqr-abs_binary64_3503 sqr-neg_binary64_3502 rem-square-sqrt_binary64_3500 div-sub_binary64_3493 remove-double-neg_binary64_3476 +-lft-identity_binary64_3472 div0_binary64_3469 +-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_binary64_3453 distribute-neg-frac_binary64_3452 distribute-frac-neg_binary64_3451 distribute-neg-out_binary64_3450 distribute-neg-in_binary64_3449 distribute-rgt-out--_binary64_3442 distribute-lft-out--_binary64_3440 associate--r-_binary64_3427 associate--l-_binary64_3426 associate--l+_binary64_3425 associate--r+_binary64_3424
Counts
49 → 28
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
056342
167341
2141341
3369341
41318341
54489333

prune40.0ms (0.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New28028
Fresh000
Picked011
Done022
Total28331
Error
0b
Counts
31 → 3
Compiler

Compiled 576 to 418 computations (27.4% saved)

regimes154.0ms (3.5%)

Accuracy

Total 0.0b remaining (80%)

Threshold costs 0.0b (80%)

Compiler

Compiled 868 to 810 computations (6.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
sub-neg_binary64_3481 +-commutative_binary64_3418
neg-mul-1_binary64_3484 neg-sub0_binary64_3483 *-commutative_binary64_3419
distribute-neg-frac_binary64_3452
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 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 +-rgt-identity_binary64_3473 +-lft-identity_binary64_3472 cancel-sign-sub-inv_binary64_3454 cancel-sign-sub_binary64_3453 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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
2157
3197
4227
5237
Proof
(- f64 h0 (/ f64 h1 200))

end0.0ms (0%)

sample669.0ms (15.1%)

Algorithm
intervals
Results
154.0ms8000×body128valid
Compiler

Compiled 223 to 209 computations (6.3% saved)

Profiling

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