Details

analyze74.0ms (9.5%)

Algorithm

1×

Search

True	Other	False	Iter
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%	74.9%	0.1%	5
25%	62.4%	12.6%	6
25%	50%	25.1%	7
31.2%	37.5%	31.3%	8
39%	24.2%	36.8%	9
42.9%	18.3%	38.7%	10
47.2%	11.9%	40.9%	11
49.4%	9.1%	41.6%	12
51.6%	5.9%	42.5%	13
52.7%	4.5%	42.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample13.0ms (1.6%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify245.0ms (31.7%)

Algorithm

1×	egg-herbie

Rules

800×	`unsub-neg_binary64_3482`
443×	`sub-neg_binary64_3481`
423×	`unswap-sqr_binary64_3456`
382×	`*-commutative_binary64_3419`
364×	`distribute-neg-out_binary64_3450`
316×	`+-commutative_binary64_3418`
288×	`distribute-lft-neg-out_binary64_3447`
287×	`neg-sub0_binary64_3483` `distribute-rgt-in_binary64_3438`
269×	`distribute-rgt-neg-out_binary64_3448`
258×	`cancel-sign-sub-inv_binary64_3454`
251×	`sqr-pow_binary64_3460`
248×	`pow-sqr_binary64_3461`
238×	`distribute-rgt-neg-in_binary64_3446`
226×	`neg-mul-1_binary64_3484`
220×	`distribute-lft-out_binary64_3439`
203×	`distribute-neg-in_binary64_3449`
193×	`cube-prod_binary64_3516`
159×	`distribute-lft-neg-in_binary64_3445`
153×	`pow-plus_binary64_3551`
144×	`distribute-rgt-out--_binary64_3442`
139×	`associate-+r-_binary64_3422`
116×	`distribute-rgt-out_binary64_3441`
114×	`distribute-lft-in_binary64_3437`
103×	`associate-+l+_binary64_3421`
95×	`distribute-lft-out--_binary64_3440`
89×	`associate--r-_binary64_3427`
86×	`associate--l-_binary64_3426`
84×	`associate-+l-_binary64_3423`
76×	`associate-+r+_binary64_3420`
71×	`difference-of-squares_binary64_3457`
70×	`associate-r_binary64_3428`
62×	`associate--r+_binary64_3424`
51×	`remove-double-neg_binary64_3476`
50×	`unpow3_binary64_3554`
49×	`distribute-rgt1-in_binary64_3444`
44×	`cube-mult_binary64_3518`
39×	`sub0-neg_binary64_3475`
35×	`associate-l_binary64_3429`
31×	`associate--l+_binary64_3425`
30×	`mul0-rgt_binary64_3471` `mul0-lft_binary64_3470`
28×	`distribute-lft1-in_binary64_3443`
27×	`associate-/l/_binary64_3435`
21×	`associate-/l*_binary64_3433`
20×	`times-frac_binary64_3494`
19×	`associate-*r/_binary64_3430`
17×	`cube-neg_binary64_3515`
12×	`+-lft-identity_binary64_3472`
9×	`count-2_binary64_3436`
8×	`cube-unmult_binary64_3525` `+-rgt-identity_binary64_3473` `+-inverses_binary64_3467` `cancel-sign-sub_binary64_3453`
7×	`swap-sqr_binary64_3455`
6×	`sqr-neg_binary64_3502` `mul-1-neg_binary64_3480`
5×	`associate-/r/_binary64_3434`
4×	`/-rgt-identity_binary64_3479`
3×	`*-rgt-identity_binary64_3478`
2×	`-lft-identity_binary64_3477` `--rgt-identity_binary64_3474` `difference-of-sqr--1_binary64_3459` `associate-/r_binary64_3432`
1×	`1-exp_binary64_3532` `*-inverses_binary64_3468`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_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` `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` `exp-1-e_binary64_3531` `exp-0_binary64_3530` `rem-log-exp_binary64_3529` `rem-exp-log_binary64_3528` `cube-div_binary64_3517` `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` `div-sub_binary64_3493` `div0_binary64_3469` `lft-mult-inverse_binary64_3466` `rgt-mult-inverse_binary64_3465` `remove-double-div_binary64_3464` `difference-of-sqr-1_binary64_3458` `distribute-neg-frac_binary64_3452` `distribute-frac-neg_binary64_3451` `associate-*l/_binary64_3431`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	14	10
2	24	10
3	49	10
4	103	10
5	227	10
6	353	10
7	742	10
8	1098	10
9	1967	10
10	2427	10
11	2773	10
12	3550	10
13	3729	10
14	4270	10

prune1.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

Counts

1 → 1

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize4.0ms (0.5%)

rewrite0.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Error

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify9.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

0× not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_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)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	0	0
Total	1	1

Error

Counts

1 → 1

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

3×	`sub-neg_binary64_3481` `+-commutative_binary64_3418`
2×	`neg-mul-1_binary64_3484` `neg-sub0_binary64_3483` `*-commutative_binary64_3419`
1×	`cancel-sign-sub-inv_binary64_3454` `distribute-lft-neg-out_binary64_3447` `distribute-rgt-neg-in_binary64_3446`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_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_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-in_binary64_3445`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	11	10
2	18	10
3	22	10
4	24	10

Proof

(- f64 (* f64 h0 h0) (* f64 h1 h1))

end0.0ms (0%)

sample422.0ms (54.6%)

Algorithm

1×

intervals

Results

168.0ms	8000×	body	128	valid
3.0ms	146×	body	128	invalid

Compiler

Compiled 29 to 23 computations (20.7% saved)

Details

analyze74.0ms (9.5%)

sample13.0ms (1.6%)

simplify245.0ms (31.7%)

prune1.0ms (0.2%)

localize4.0ms (0.5%)

rewrite0.0ms (0.1%)

series0.0ms (0%)

simplify9.0ms (1.1%)

prune1.0ms (0.1%)

simplify3.0ms (0.4%)

end0.0ms (0%)

sample422.0ms (54.6%)

Profiling