Details

Time bar (total: 24.2s)

analyze2.0s (8.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.6%0.4%0
0%99.6%0.4%1
0%99.6%0.4%2
0%99.6%0.4%3
0%99.6%0.4%4
0%99.6%0.4%5
0%99.6%0.4%6
0%99.6%0.4%7
0%99.6%0.4%8
0%99.6%0.4%9
0%99.6%0.4%10
0%99.6%0.4%11
0%99.6%0.4%12
0%99.6%0.4%13
0%99.6%0.4%14
Compiler

Compiled 30 to 24 computations (20% saved)

sample97.0ms (0.4%)

Algorithm
intervals
Results
33.0ms385×body128invalid
19.0ms256×body128valid
Compiler

Compiled 59 to 56 computations (5.1% saved)

simplify445.0ms (1.8%)

Algorithm
egg-herbie
Rules
602×unsub-neg_binary64_17463
371×exp-prod_binary64_17521
368×cube-prod_binary64_17497
357×sub-neg_binary64_17462
342×distribute-neg-in_binary64_17430
331×neg-mul-1_binary64_17465
268×cancel-sign-sub-inv_binary64_17435
266×+-commutative_binary64_17399
249×distribute-rgt-neg-in_binary64_17427
224×associate-+l+_binary64_17402
218×distribute-lft-neg-in_binary64_17426
204×distribute-rgt-neg-out_binary64_17429
203×neg-sub0_binary64_17464
171×swap-sqr_binary64_17436
167×associate--r+_binary64_17405
165×associate-+l-_binary64_17404
158×*-commutative_binary64_17400
154×associate--l+_binary64_17406
149×distribute-lft-neg-out_binary64_17428
142×associate-*r*_binary64_17409
140×distribute-neg-out_binary64_17431 distribute-rgt-in_binary64_17419 associate-*l*_binary64_17410
112×distribute-rgt1-in_binary64_17425
99×associate-+r-_binary64_17403
95×remove-double-neg_binary64_17457
86×associate--r-_binary64_17408
72×distribute-lft-in_binary64_17418
61×associate-+r+_binary64_17401
56×sub0-neg_binary64_17456
55×associate--l-_binary64_17407
52×sqr-neg_binary64_17483
35×mul0-rgt_binary64_17452 mul0-lft_binary64_17451
29×+-rgt-identity_binary64_17454
28×distribute-rgt-out_binary64_17422
17×--rgt-identity_binary64_17455
10×distribute-rgt-out--_binary64_17423
distribute-lft1-in_binary64_17424 distribute-lft-out_binary64_17420
cancel-sign-sub_binary64_17434
+-lft-identity_binary64_17453
pow-plus_binary64_17532
cube-unmult_binary64_17506
exp-lft-sqr_binary64_17524 exp-diff_binary64_17517 1-exp_binary64_17513 pow-sqr_binary64_17442 sqr-pow_binary64_17441 distribute-lft-out--_binary64_17421 count-2_binary64_17417
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_17732 erf-erfc_binary64_17731 erf-odd_binary64_17730 if-if-and-not_binary64_17729 if-if-and_binary64_17728 if-if-or-not_binary64_17727 if-if-or_binary64_17726 if-not_binary64_17725 if-same_binary64_17724 if-false_binary64_17723 if-true_binary64_17722 not-gte_binary64_17721 not-lte_binary64_17720 not-gt_binary64_17719 not-lt_binary64_17718 gte-same_binary64_17717 lte-same_binary64_17716 gt-same_binary64_17715 lt-same_binary64_17714 sinh---cosh_binary64_17661 sinh-+-cosh_binary64_17660 sinh-cosh_binary64_17659 tanh-def-c_binary64_17658 tanh-def-b_binary64_17657 tanh-def-a_binary64_17656 cosh-def_binary64_17655 sinh-def_binary64_17654 tan-neg_binary64_17601 cos-neg_binary64_17600 sin-neg_binary64_17599 tan-0_binary64_17598 cos-0_binary64_17597 sin-0_binary64_17596 hang-m-tan_binary64_17595 hang-p-tan_binary64_17594 hang-m0-tan_binary64_17593 hang-p0-tan_binary64_17592 hang-0m-tan_binary64_17591 hang-0p-tan_binary64_17590 tan-+PI/2_binary64_17589 tan-+PI_binary64_17588 tan-PI_binary64_17587 tan-PI/3_binary64_17586 tan-PI/4_binary64_17585 tan-PI/6_binary64_17584 cos-+PI/2_binary64_17583 cos-+PI_binary64_17582 cos-PI_binary64_17581 cos-PI/2_binary64_17580 cos-PI/3_binary64_17579 cos-PI/4_binary64_17578 cos-PI/6_binary64_17577 sin-+PI/2_binary64_17576 sin-+PI_binary64_17575 sin-PI_binary64_17574 sin-PI/2_binary64_17573 sin-PI/3_binary64_17572 sin-PI/4_binary64_17571 sin-PI/6_binary64_17570 sub-1-sin_binary64_17569 sub-1-cos_binary64_17568 -1-add-sin_binary64_17567 -1-add-cos_binary64_17566 1-sub-sin_binary64_17565 1-sub-cos_binary64_17564 cos-sin-sum_binary64_17563 log-E_binary64_17559 log-pow_binary64_17558 log-rec_binary64_17557 log-div_binary64_17556 log-prod_binary64_17555 pow-base-0_binary64_17553 unpow1/3_binary64_17536 unpow3_binary64_17535 unpow2_binary64_17534 unpow1/2_binary64_17533 exp-to-pow_binary64_17531 pow-base-1_binary64_17529 unpow0_binary64_17528 unpow1_binary64_17527 unpow-1_binary64_17526 exp-lft-cube_binary64_17525 exp-cbrt_binary64_17523 exp-sqrt_binary64_17522 div-exp_binary64_17520 rec-exp_binary64_17519 prod-exp_binary64_17518 exp-neg_binary64_17516 exp-sum_binary64_17515 e-exp-1_binary64_17514 exp-1-e_binary64_17512 exp-0_binary64_17511 rem-log-exp_binary64_17510 rem-exp-log_binary64_17509 cube-mult_binary64_17499 cube-div_binary64_17498 cube-neg_binary64_17496 rem-3cbrt-rft_binary64_17495 rem-3cbrt-lft_binary64_17494 rem-cbrt-cube_binary64_17493 rem-cube-cbrt_binary64_17492 sqr-abs_binary64_17484 rem-sqrt-square_binary64_17482 rem-square-sqrt_binary64_17481 times-frac_binary64_17475 div-sub_binary64_17474 mul-1-neg_binary64_17461 /-rgt-identity_binary64_17460 *-rgt-identity_binary64_17459 *-lft-identity_binary64_17458 div0_binary64_17450 *-inverses_binary64_17449 +-inverses_binary64_17448 lft-mult-inverse_binary64_17447 rgt-mult-inverse_binary64_17446 remove-double-div_binary64_17445 difference-of-sqr--1_binary64_17440 difference-of-sqr-1_binary64_17439 difference-of-squares_binary64_17438 unswap-sqr_binary64_17437 distribute-neg-frac_binary64_17433 distribute-frac-neg_binary64_17432 associate-/l/_binary64_17416 associate-/r/_binary64_17415 associate-/l*_binary64_17414 associate-/r*_binary64_17413 associate-*l/_binary64_17412 associate-*r/_binary64_17411
Counts
1 → 4
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02443
15543
212543
340743
4101543
5239743
6278743
7371043

prune7.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New404
Fresh011
Picked000
Done000
Total415
Error
11.2b
Counts
5 → 1
Compiler

Compiled 145 to 54 computations (62.8% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b
(-.f64 (*.f64 c a) (*.f64 y i))
3.5b
(*.f64 b (-.f64 (*.f64 c z) (*.f64 t i)))
4.9b
(*.f64 x (-.f64 (*.f64 y z) (*.f64 t a)))
5.8b
(*.f64 j (-.f64 (*.f64 c a) (*.f64 y i)))

rewrite175.0ms (0.7%)

Algorithm
rewrite-expression-head
Error
11.1b
Rules
16×add-sqr-sqrt_binary64_17491
10×pow1_binary64_17530 add-exp-log_binary64_17507 add-cbrt-cube_binary64_17505 add-cube-cbrt_binary64_17504 *-un-lft-identity_binary64_17469
associate-*l*_binary64_17410 associate-*r*_binary64_17409
sub-neg_binary64_17462 cancel-sign-sub-inv_binary64_17435
add-log-exp_binary64_17508 distribute-rgt-in_binary64_17419 distribute-lft-in_binary64_17418 associate-*r/_binary64_17411
flip3--_binary64_17473 flip--_binary64_17444
pow-prod-down_binary64_17540 prod-exp_binary64_17518 cbrt-unprod_binary64_17502 unswap-sqr_binary64_17437 *-commutative_binary64_17400
diff-log_binary64_17561
Counts
4 → 84
Calls

4 calls:

7.0ms
(*.f64 x (-.f64 (*.f64 y z) (*.f64 t a)))
7.0ms
(*.f64 b (-.f64 (*.f64 c z) (*.f64 t i)))
6.0ms
(*.f64 j (-.f64 (*.f64 c a) (*.f64 y i)))
4.0ms
(-.f64 (*.f64 c a) (*.f64 y i))
Compiler

Compiled 3151 to 425 computations (86.5% saved)

series1.7s (6.9%)

Error
2.6b
Counts
4 → 105
Calls

4 calls:

448.0ms
(*.f64 x (-.f64 (*.f64 y z) (*.f64 t a)))
446.0ms
(*.f64 j (-.f64 (*.f64 c a) (*.f64 y i)))
408.0ms
(*.f64 b (-.f64 (*.f64 c z) (*.f64 t i)))
252.0ms
(-.f64 (*.f64 c a) (*.f64 y i))
Compiler

Compiled 7671 to 3912 computations (49% saved)

simplify284.0ms (1.2%)

Algorithm
egg-herbie
Rules
371×distribute-rgt-in_binary64_17419
365×distribute-lft-in_binary64_17418
294×cancel-sign-sub-inv_binary64_17435
290×associate-*l*_binary64_17410
250×associate-*r*_binary64_17409
213×exp-prod_binary64_17521
154×unsub-neg_binary64_17463
142×distribute-rgt-neg-in_binary64_17427
139×neg-sub0_binary64_17464 sqr-pow_binary64_17441
136×neg-mul-1_binary64_17465
121×distribute-lft-neg-in_binary64_17426
111×*-lft-identity_binary64_17458
108×*-rgt-identity_binary64_17459 difference-of-squares_binary64_17438
104×sub-neg_binary64_17462
96×*-commutative_binary64_17400
78×unswap-sqr_binary64_17437
72×pow-sqr_binary64_17442
66×swap-sqr_binary64_17436
63×cube-prod_binary64_17497
60×exp-sum_binary64_17515
53×distribute-lft-neg-out_binary64_17428
35×mul0-rgt_binary64_17452 mul0-lft_binary64_17451 distribute-rgt-neg-out_binary64_17429
34×log-prod_binary64_17555
32×+-commutative_binary64_17399
25×exp-diff_binary64_17517
18×distribute-rgt-out_binary64_17422
17×associate-+r-_binary64_17403
13×unpow3_binary64_17535 associate-+r+_binary64_17401
12×cube-mult_binary64_17499 div-sub_binary64_17474 sub0-neg_binary64_17456 +-rgt-identity_binary64_17454 associate-+l-_binary64_17404
11×times-frac_binary64_17475 associate-+l+_binary64_17402
cube-unmult_binary64_17506
distribute-lft-out_binary64_17420
mul-1-neg_binary64_17461
sqr-neg_binary64_17483
distribute-rgt-out--_binary64_17423
div-exp_binary64_17520 prod-exp_binary64_17518 1-exp_binary64_17513 exp-1-e_binary64_17512 rem-log-exp_binary64_17510 associate-/l/_binary64_17416 associate-/l*_binary64_17414 associate-/r*_binary64_17413 associate-*r/_binary64_17411
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_17732 erf-erfc_binary64_17731 erf-odd_binary64_17730 if-if-and-not_binary64_17729 if-if-and_binary64_17728 if-if-or-not_binary64_17727 if-if-or_binary64_17726 if-not_binary64_17725 if-same_binary64_17724 if-false_binary64_17723 if-true_binary64_17722 not-gte_binary64_17721 not-lte_binary64_17720 not-gt_binary64_17719 not-lt_binary64_17718 gte-same_binary64_17717 lte-same_binary64_17716 gt-same_binary64_17715 lt-same_binary64_17714 sinh---cosh_binary64_17661 sinh-+-cosh_binary64_17660 sinh-cosh_binary64_17659 tanh-def-c_binary64_17658 tanh-def-b_binary64_17657 tanh-def-a_binary64_17656 cosh-def_binary64_17655 sinh-def_binary64_17654 tan-neg_binary64_17601 cos-neg_binary64_17600 sin-neg_binary64_17599 tan-0_binary64_17598 cos-0_binary64_17597 sin-0_binary64_17596 hang-m-tan_binary64_17595 hang-p-tan_binary64_17594 hang-m0-tan_binary64_17593 hang-p0-tan_binary64_17592 hang-0m-tan_binary64_17591 hang-0p-tan_binary64_17590 tan-+PI/2_binary64_17589 tan-+PI_binary64_17588 tan-PI_binary64_17587 tan-PI/3_binary64_17586 tan-PI/4_binary64_17585 tan-PI/6_binary64_17584 cos-+PI/2_binary64_17583 cos-+PI_binary64_17582 cos-PI_binary64_17581 cos-PI/2_binary64_17580 cos-PI/3_binary64_17579 cos-PI/4_binary64_17578 cos-PI/6_binary64_17577 sin-+PI/2_binary64_17576 sin-+PI_binary64_17575 sin-PI_binary64_17574 sin-PI/2_binary64_17573 sin-PI/3_binary64_17572 sin-PI/4_binary64_17571 sin-PI/6_binary64_17570 sub-1-sin_binary64_17569 sub-1-cos_binary64_17568 -1-add-sin_binary64_17567 -1-add-cos_binary64_17566 1-sub-sin_binary64_17565 1-sub-cos_binary64_17564 cos-sin-sum_binary64_17563 log-E_binary64_17559 log-pow_binary64_17558 log-rec_binary64_17557 log-div_binary64_17556 pow-base-0_binary64_17553 unpow1/3_binary64_17536 unpow2_binary64_17534 unpow1/2_binary64_17533 pow-plus_binary64_17532 exp-to-pow_binary64_17531 pow-base-1_binary64_17529 unpow0_binary64_17528 unpow1_binary64_17527 unpow-1_binary64_17526 exp-lft-cube_binary64_17525 exp-lft-sqr_binary64_17524 exp-cbrt_binary64_17523 exp-sqrt_binary64_17522 rec-exp_binary64_17519 exp-neg_binary64_17516 e-exp-1_binary64_17514 exp-0_binary64_17511 rem-exp-log_binary64_17509 cube-div_binary64_17498 cube-neg_binary64_17496 rem-3cbrt-rft_binary64_17495 rem-3cbrt-lft_binary64_17494 rem-cbrt-cube_binary64_17493 rem-cube-cbrt_binary64_17492 sqr-abs_binary64_17484 rem-sqrt-square_binary64_17482 rem-square-sqrt_binary64_17481 /-rgt-identity_binary64_17460 remove-double-neg_binary64_17457 --rgt-identity_binary64_17455 +-lft-identity_binary64_17453 div0_binary64_17450 *-inverses_binary64_17449 +-inverses_binary64_17448 lft-mult-inverse_binary64_17447 rgt-mult-inverse_binary64_17446 remove-double-div_binary64_17445 difference-of-sqr--1_binary64_17440 difference-of-sqr-1_binary64_17439 cancel-sign-sub_binary64_17434 distribute-neg-frac_binary64_17433 distribute-frac-neg_binary64_17432 distribute-neg-out_binary64_17431 distribute-neg-in_binary64_17430 distribute-rgt1-in_binary64_17425 distribute-lft1-in_binary64_17424 distribute-lft-out--_binary64_17421 count-2_binary64_17417 associate-/r/_binary64_17415 associate-*l/_binary64_17412 associate--r-_binary64_17408 associate--l-_binary64_17407 associate--l+_binary64_17406 associate--r+_binary64_17405
Counts
189 → 338
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01962626
14762443
215652443
336802443

prune442.0ms (1.8%)

Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New31919338
Fresh000
Picked101
Done000
Total32019339
Error
4.6b
Counts
339 → 19
Compiler

Compiled 12023 to 1280 computations (89.4% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.5b
(*.f64 b (-.f64 (*.f64 c z) (*.f64 t i)))
4.1b
(*.f64 (*.f64 y z) x)
4.2b
(*.f64 (neg.f64 t) (*.f64 a x))
5.8b
(*.f64 j (-.f64 (*.f64 c a) (*.f64 y i)))

rewrite168.0ms (0.7%)

Algorithm
rewrite-expression-head
Error
4.6b
Rules
18×pow1_binary64_17530 add-exp-log_binary64_17507 add-cbrt-cube_binary64_17505
17×associate-*l*_binary64_17410
16×add-sqr-sqrt_binary64_17491
12×add-cube-cbrt_binary64_17504 *-un-lft-identity_binary64_17469
10×associate-*r*_binary64_17409
pow-prod-down_binary64_17540 prod-exp_binary64_17518 cbrt-unprod_binary64_17502
add-log-exp_binary64_17508 sub-neg_binary64_17462 distribute-rgt-in_binary64_17419 cancel-sign-sub-inv_binary64_17435 distribute-lft-in_binary64_17418 associate-*r/_binary64_17411 *-commutative_binary64_17400
distribute-rgt-neg-in_binary64_17427 distribute-lft-neg-in_binary64_17426
unswap-sqr_binary64_17437 flip3--_binary64_17473 flip--_binary64_17444
distribute-lft-neg-out_binary64_17428 neg-mul-1_binary64_17465
Counts
4 → 92
Calls

4 calls:

7.0ms
(*.f64 b (-.f64 (*.f64 c z) (*.f64 t i)))
7.0ms
(*.f64 j (-.f64 (*.f64 c a) (*.f64 y i)))
6.0ms
(*.f64 (neg.f64 t) (*.f64 a x))
5.0ms
(*.f64 (*.f64 y z) x)
Compiler

Compiled 3579 to 514 computations (85.6% saved)

series1.2s (5.1%)

Error
2.0b
Counts
4 → 72
Calls

4 calls:

424.0ms
(*.f64 b (-.f64 (*.f64 c z) (*.f64 t i)))
402.0ms
(*.f64 j (-.f64 (*.f64 c a) (*.f64 y i)))
171.0ms
(*.f64 (neg.f64 t) (*.f64 a x))
162.0ms
(*.f64 (*.f64 y z) x)
Compiler

Compiled 6171 to 3192 computations (48.3% saved)

simplify292.0ms (1.2%)

Algorithm
egg-herbie
Rules
396×associate-*l*_binary64_17410
339×associate-*r*_binary64_17409
292×neg-sub0_binary64_17464
277×neg-mul-1_binary64_17465
272×distribute-rgt-in_binary64_17419
270×unsub-neg_binary64_17463
268×distribute-lft-in_binary64_17418
228×exp-prod_binary64_17521
177×distribute-lft-neg-out_binary64_17428
130×distribute-rgt-neg-in_binary64_17427
127×distribute-rgt-neg-out_binary64_17429
126×cube-prod_binary64_17497
124×*-commutative_binary64_17400
113×cancel-sign-sub-inv_binary64_17435
111×log-prod_binary64_17555
104×distribute-lft-neg-in_binary64_17426
94×sub-neg_binary64_17462
67×sqr-pow_binary64_17441
66×swap-sqr_binary64_17436
51×exp-sum_binary64_17515
33×*-lft-identity_binary64_17458
31×*-rgt-identity_binary64_17459 +-commutative_binary64_17399
27×unswap-sqr_binary64_17437
25×unpow3_binary64_17535
21×exp-diff_binary64_17517 cube-mult_binary64_17499 associate-+r+_binary64_17401
18×pow-sqr_binary64_17442
17×associate-+l+_binary64_17402
14×cube-unmult_binary64_17506 associate-+r-_binary64_17403
10×sqr-neg_binary64_17483 div-sub_binary64_17474
mul-1-neg_binary64_17461 associate-+l-_binary64_17404
difference-of-squares_binary64_17438
cube-neg_binary64_17496
exp-neg_binary64_17516
remove-double-neg_binary64_17457 +-rgt-identity_binary64_17454 cancel-sign-sub_binary64_17434 distribute-rgt-out--_binary64_17423 associate-/l*_binary64_17414
prod-exp_binary64_17518 1-exp_binary64_17513 exp-1-e_binary64_17512 rem-log-exp_binary64_17510 distribute-neg-in_binary64_17430 associate-/l/_binary64_17416 associate-*r/_binary64_17411
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_17732 erf-erfc_binary64_17731 erf-odd_binary64_17730 if-if-and-not_binary64_17729 if-if-and_binary64_17728 if-if-or-not_binary64_17727 if-if-or_binary64_17726 if-not_binary64_17725 if-same_binary64_17724 if-false_binary64_17723 if-true_binary64_17722 not-gte_binary64_17721 not-lte_binary64_17720 not-gt_binary64_17719 not-lt_binary64_17718 gte-same_binary64_17717 lte-same_binary64_17716 gt-same_binary64_17715 lt-same_binary64_17714 sinh---cosh_binary64_17661 sinh-+-cosh_binary64_17660 sinh-cosh_binary64_17659 tanh-def-c_binary64_17658 tanh-def-b_binary64_17657 tanh-def-a_binary64_17656 cosh-def_binary64_17655 sinh-def_binary64_17654 tan-neg_binary64_17601 cos-neg_binary64_17600 sin-neg_binary64_17599 tan-0_binary64_17598 cos-0_binary64_17597 sin-0_binary64_17596 hang-m-tan_binary64_17595 hang-p-tan_binary64_17594 hang-m0-tan_binary64_17593 hang-p0-tan_binary64_17592 hang-0m-tan_binary64_17591 hang-0p-tan_binary64_17590 tan-+PI/2_binary64_17589 tan-+PI_binary64_17588 tan-PI_binary64_17587 tan-PI/3_binary64_17586 tan-PI/4_binary64_17585 tan-PI/6_binary64_17584 cos-+PI/2_binary64_17583 cos-+PI_binary64_17582 cos-PI_binary64_17581 cos-PI/2_binary64_17580 cos-PI/3_binary64_17579 cos-PI/4_binary64_17578 cos-PI/6_binary64_17577 sin-+PI/2_binary64_17576 sin-+PI_binary64_17575 sin-PI_binary64_17574 sin-PI/2_binary64_17573 sin-PI/3_binary64_17572 sin-PI/4_binary64_17571 sin-PI/6_binary64_17570 sub-1-sin_binary64_17569 sub-1-cos_binary64_17568 -1-add-sin_binary64_17567 -1-add-cos_binary64_17566 1-sub-sin_binary64_17565 1-sub-cos_binary64_17564 cos-sin-sum_binary64_17563 log-E_binary64_17559 log-pow_binary64_17558 log-rec_binary64_17557 log-div_binary64_17556 pow-base-0_binary64_17553 unpow1/3_binary64_17536 unpow2_binary64_17534 unpow1/2_binary64_17533 pow-plus_binary64_17532 exp-to-pow_binary64_17531 pow-base-1_binary64_17529 unpow0_binary64_17528 unpow1_binary64_17527 unpow-1_binary64_17526 exp-lft-cube_binary64_17525 exp-lft-sqr_binary64_17524 exp-cbrt_binary64_17523 exp-sqrt_binary64_17522 div-exp_binary64_17520 rec-exp_binary64_17519 e-exp-1_binary64_17514 exp-0_binary64_17511 rem-exp-log_binary64_17509 cube-div_binary64_17498 rem-3cbrt-rft_binary64_17495 rem-3cbrt-lft_binary64_17494 rem-cbrt-cube_binary64_17493 rem-cube-cbrt_binary64_17492 sqr-abs_binary64_17484 rem-sqrt-square_binary64_17482 rem-square-sqrt_binary64_17481 times-frac_binary64_17475 /-rgt-identity_binary64_17460 sub0-neg_binary64_17456 --rgt-identity_binary64_17455 +-lft-identity_binary64_17453 mul0-rgt_binary64_17452 mul0-lft_binary64_17451 div0_binary64_17450 *-inverses_binary64_17449 +-inverses_binary64_17448 lft-mult-inverse_binary64_17447 rgt-mult-inverse_binary64_17446 remove-double-div_binary64_17445 difference-of-sqr--1_binary64_17440 difference-of-sqr-1_binary64_17439 distribute-neg-frac_binary64_17433 distribute-frac-neg_binary64_17432 distribute-neg-out_binary64_17431 distribute-rgt1-in_binary64_17425 distribute-lft1-in_binary64_17424 distribute-rgt-out_binary64_17422 distribute-lft-out--_binary64_17421 distribute-lft-out_binary64_17420 count-2_binary64_17417 associate-/r/_binary64_17415 associate-/r*_binary64_17413 associate-*l/_binary64_17412 associate--r-_binary64_17408 associate--l-_binary64_17407 associate--l+_binary64_17406 associate--r+_binary64_17405
Counts
164 → 310
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02092138
15171940
218481940
339611940

prune416.0ms (1.7%)

Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New3064310
Fresh31518
Picked101
Done000
Total31019329
Error
3.4b
Counts
329 → 19
Compiler

Compiled 11995 to 1365 computations (88.6% saved)

localize262.0ms (1.1%)

Local error

Found 4 expressions with local error:

2.6b
(*.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (*.f64 (*.f64 a x) (neg.f64 (cbrt.f64 t))))
3.5b
(*.f64 b (-.f64 (*.f64 c z) (*.f64 t i)))
4.1b
(*.f64 (*.f64 y z) x)
5.8b
(*.f64 j (-.f64 (*.f64 c a) (*.f64 y i)))

rewrite182.0ms (0.8%)

Algorithm
rewrite-expression-head
Error
3.4b
Rules
34×pow1_binary64_17530 add-exp-log_binary64_17507
28×add-cbrt-cube_binary64_17505
20×pow-prod-down_binary64_17540 prod-exp_binary64_17518 cbrt-unprod_binary64_17502
13×add-sqr-sqrt_binary64_17491
10×associate-*r*_binary64_17409
add-cube-cbrt_binary64_17504 *-un-lft-identity_binary64_17469
associate-*l*_binary64_17410
add-log-exp_binary64_17508 sub-neg_binary64_17462 distribute-rgt-in_binary64_17419 cancel-sign-sub-inv_binary64_17435 distribute-lft-in_binary64_17418 associate-*r/_binary64_17411 *-commutative_binary64_17400
unswap-sqr_binary64_17437 flip3--_binary64_17473 flip--_binary64_17444 distribute-rgt-neg-out_binary64_17429
Counts
4 → 95
Calls

4 calls:

13.0ms
(*.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (*.f64 (*.f64 a x) (neg.f64 (cbrt.f64 t))))
7.0ms
(*.f64 b (-.f64 (*.f64 c z) (*.f64 t i)))
6.0ms
(*.f64 j (-.f64 (*.f64 c a) (*.f64 y i)))
5.0ms
(*.f64 (*.f64 y z) x)
Compiler

Compiled 4462 to 537 computations (88% saved)

series1.3s (5.5%)

Error
2.0b
Counts
4 → 72
Calls

4 calls:

449.0ms
(*.f64 j (-.f64 (*.f64 c a) (*.f64 y i)))
432.0ms
(*.f64 b (-.f64 (*.f64 c z) (*.f64 t i)))
211.0ms
(*.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (*.f64 (*.f64 a x) (neg.f64 (cbrt.f64 t))))
151.0ms
(*.f64 (*.f64 y z) x)
Compiler

Compiled 7335 to 3512 computations (52.1% saved)

simplify639.0ms (2.6%)

Algorithm
egg-herbie
Rules
514×associate-*l*_binary64_17410
421×associate-*r*_binary64_17409
412×distribute-rgt-neg-out_binary64_17429
308×distribute-rgt-in_binary64_17419
304×distribute-lft-in_binary64_17418
303×distribute-lft-neg-out_binary64_17428
145×distribute-rgt-neg-in_binary64_17427
132×distribute-lft-neg-in_binary64_17426
123×log-prod_binary64_17555
121×exp-prod_binary64_17521
117×*-commutative_binary64_17400
109×swap-sqr_binary64_17436 cancel-sign-sub-inv_binary64_17435
97×cube-prod_binary64_17497
74×neg-sub0_binary64_17464
73×sqr-pow_binary64_17441
67×neg-mul-1_binary64_17465
56×unswap-sqr_binary64_17437
33×*-lft-identity_binary64_17458
31×*-rgt-identity_binary64_17459
30×sub-neg_binary64_17462
24×pow-sqr_binary64_17442
22×+-commutative_binary64_17399
18×cube-unmult_binary64_17506
13×associate-+r+_binary64_17401
11×unpow3_binary64_17535
exp-diff_binary64_17517 exp-sum_binary64_17515 sqr-neg_binary64_17483 associate-+l+_binary64_17402
cube-mult_binary64_17499
mul-1-neg_binary64_17461
exp-neg_binary64_17516 difference-of-squares_binary64_17438
div-sub_binary64_17474 remove-double-neg_binary64_17457
cube-neg_binary64_17496
log-pow_binary64_17558 pow-plus_binary64_17532 unsub-neg_binary64_17463 +-rgt-identity_binary64_17454 distribute-neg-in_binary64_17430 distribute-rgt-out--_binary64_17423 associate-+r-_binary64_17403
prod-exp_binary64_17518 1-exp_binary64_17513 exp-1-e_binary64_17512 rem-log-exp_binary64_17510 rem-3cbrt-rft_binary64_17495 rem-3cbrt-lft_binary64_17494 rem-cube-cbrt_binary64_17492 cancel-sign-sub_binary64_17434 distribute-frac-neg_binary64_17432 count-2_binary64_17417
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_17732 erf-erfc_binary64_17731 erf-odd_binary64_17730 if-if-and-not_binary64_17729 if-if-and_binary64_17728 if-if-or-not_binary64_17727 if-if-or_binary64_17726 if-not_binary64_17725 if-same_binary64_17724 if-false_binary64_17723 if-true_binary64_17722 not-gte_binary64_17721 not-lte_binary64_17720 not-gt_binary64_17719 not-lt_binary64_17718 gte-same_binary64_17717 lte-same_binary64_17716 gt-same_binary64_17715 lt-same_binary64_17714 sinh---cosh_binary64_17661 sinh-+-cosh_binary64_17660 sinh-cosh_binary64_17659 tanh-def-c_binary64_17658 tanh-def-b_binary64_17657 tanh-def-a_binary64_17656 cosh-def_binary64_17655 sinh-def_binary64_17654 tan-neg_binary64_17601 cos-neg_binary64_17600 sin-neg_binary64_17599 tan-0_binary64_17598 cos-0_binary64_17597 sin-0_binary64_17596 hang-m-tan_binary64_17595 hang-p-tan_binary64_17594 hang-m0-tan_binary64_17593 hang-p0-tan_binary64_17592 hang-0m-tan_binary64_17591 hang-0p-tan_binary64_17590 tan-+PI/2_binary64_17589 tan-+PI_binary64_17588 tan-PI_binary64_17587 tan-PI/3_binary64_17586 tan-PI/4_binary64_17585 tan-PI/6_binary64_17584 cos-+PI/2_binary64_17583 cos-+PI_binary64_17582 cos-PI_binary64_17581 cos-PI/2_binary64_17580 cos-PI/3_binary64_17579 cos-PI/4_binary64_17578 cos-PI/6_binary64_17577 sin-+PI/2_binary64_17576 sin-+PI_binary64_17575 sin-PI_binary64_17574 sin-PI/2_binary64_17573 sin-PI/3_binary64_17572 sin-PI/4_binary64_17571 sin-PI/6_binary64_17570 sub-1-sin_binary64_17569 sub-1-cos_binary64_17568 -1-add-sin_binary64_17567 -1-add-cos_binary64_17566 1-sub-sin_binary64_17565 1-sub-cos_binary64_17564 cos-sin-sum_binary64_17563 log-E_binary64_17559 log-rec_binary64_17557 log-div_binary64_17556 pow-base-0_binary64_17553 unpow1/3_binary64_17536 unpow2_binary64_17534 unpow1/2_binary64_17533 exp-to-pow_binary64_17531 pow-base-1_binary64_17529 unpow0_binary64_17528 unpow1_binary64_17527 unpow-1_binary64_17526 exp-lft-cube_binary64_17525 exp-lft-sqr_binary64_17524 exp-cbrt_binary64_17523 exp-sqrt_binary64_17522 div-exp_binary64_17520 rec-exp_binary64_17519 e-exp-1_binary64_17514 exp-0_binary64_17511 rem-exp-log_binary64_17509 cube-div_binary64_17498 rem-cbrt-cube_binary64_17493 sqr-abs_binary64_17484 rem-sqrt-square_binary64_17482 rem-square-sqrt_binary64_17481 times-frac_binary64_17475 /-rgt-identity_binary64_17460 sub0-neg_binary64_17456 --rgt-identity_binary64_17455 +-lft-identity_binary64_17453 mul0-rgt_binary64_17452 mul0-lft_binary64_17451 div0_binary64_17450 *-inverses_binary64_17449 +-inverses_binary64_17448 lft-mult-inverse_binary64_17447 rgt-mult-inverse_binary64_17446 remove-double-div_binary64_17445 difference-of-sqr--1_binary64_17440 difference-of-sqr-1_binary64_17439 distribute-neg-frac_binary64_17433 distribute-neg-out_binary64_17431 distribute-rgt1-in_binary64_17425 distribute-lft1-in_binary64_17424 distribute-rgt-out_binary64_17422 distribute-lft-out--_binary64_17421 distribute-lft-out_binary64_17420 associate-/l/_binary64_17416 associate-/r/_binary64_17415 associate-/l*_binary64_17414 associate-/r*_binary64_17413 associate-*l/_binary64_17412 associate-*r/_binary64_17411 associate--r-_binary64_17408 associate--l-_binary64_17407 associate--l+_binary64_17406 associate--r+_binary64_17405 associate-+l-_binary64_17404
Counts
167 → 343
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02292676
15861998
221751998

prune492.0ms (2%)

Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New3412343
Fresh21618
Picked101
Done000
Total34418362
Error
3.4b
Counts
362 → 18
Compiler

Compiled 14902 to 1434 computations (90.4% saved)

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.8b
(*.f64 j (-.f64 (*.f64 c a) (*.f64 y i)))
6.1b
(cbrt.f64 (*.f64 j (-.f64 (*.f64 a c) (*.f64 i y))))
6.1b
(cbrt.f64 (*.f64 j (-.f64 (*.f64 c a) (*.f64 y i))))
6.1b
(cbrt.f64 (*.f64 j (-.f64 (*.f64 c a) (*.f64 y i))))

rewrite136.0ms (0.6%)

Algorithm
rewrite-expression-head
Error
3.4b
Rules
associate-*r/_binary64_17411 add-sqr-sqrt_binary64_17491
pow1_binary64_17530 add-exp-log_binary64_17507 add-cbrt-cube_binary64_17505 add-cube-cbrt_binary64_17504 cbrt-div_binary64_17501 *-un-lft-identity_binary64_17469
add-log-exp_binary64_17508 flip3--_binary64_17473 flip--_binary64_17444
pow1/3_binary64_17551 cbrt-prod_binary64_17500 associate-*l*_binary64_17410 associate-*r*_binary64_17409
sub-neg_binary64_17462 distribute-rgt-in_binary64_17419 cancel-sign-sub-inv_binary64_17435 distribute-lft-in_binary64_17418
pow-prod-down_binary64_17540 prod-exp_binary64_17518 cbrt-unprod_binary64_17502 unswap-sqr_binary64_17437 *-commutative_binary64_17400
Counts
4 → 57
Calls

4 calls:

7.0ms
(*.f64 j (-.f64 (*.f64 c a) (*.f64 y i)))
5.0ms
(cbrt.f64 (*.f64 j (-.f64 (*.f64 c a) (*.f64 y i))))
5.0ms
(cbrt.f64 (*.f64 j (-.f64 (*.f64 c a) (*.f64 y i))))
5.0ms
(cbrt.f64 (*.f64 j (-.f64 (*.f64 a c) (*.f64 i y))))
Compiler

Compiled 3519 to 369 computations (89.5% saved)

series2.8s (11.6%)

Error
3.4b
Counts
4 → 93
Calls

4 calls:

741.0ms
(cbrt.f64 (*.f64 j (-.f64 (*.f64 c a) (*.f64 y i))))
727.0ms
(cbrt.f64 (*.f64 j (-.f64 (*.f64 a c) (*.f64 i y))))
715.0ms
(cbrt.f64 (*.f64 j (-.f64 (*.f64 c a) (*.f64 y i))))
457.0ms
(*.f64 j (-.f64 (*.f64 c a) (*.f64 y i)))
Compiler

Compiled 15741 to 8092 computations (48.6% saved)

simplify462.0ms (1.9%)

Algorithm
egg-herbie
Rules
416×associate-/l*_binary64_17414
382×times-frac_binary64_17475
263×associate-/r*_binary64_17413
212×associate-*l/_binary64_17412
193×distribute-rgt-in_binary64_17419
191×distribute-lft-in_binary64_17418
167×distribute-rgt-neg-in_binary64_17427
162×associate-/r/_binary64_17415
157×associate-*r*_binary64_17409
149×associate-*l*_binary64_17410
148×distribute-lft-neg-in_binary64_17426
139×cancel-sign-sub-inv_binary64_17435
97×distribute-neg-frac_binary64_17433
95×*-commutative_binary64_17400
72×exp-sum_binary64_17515
71×sub-neg_binary64_17462
65×sqr-pow_binary64_17441
63×log-prod_binary64_17555
53×distribute-lft-neg-out_binary64_17428
49×neg-mul-1_binary64_17465 associate-*r/_binary64_17411
47×neg-sub0_binary64_17464
39×exp-prod_binary64_17521
30×unsub-neg_binary64_17463
25×+-commutative_binary64_17399
23×pow-sqr_binary64_17442
22×associate-/l/_binary64_17416
21×distribute-rgt-neg-out_binary64_17429
17×*-rgt-identity_binary64_17459
16×*-lft-identity_binary64_17458 distribute-rgt-out_binary64_17422
14×log-div_binary64_17556
13×exp-diff_binary64_17517 distribute-neg-out_binary64_17431 distribute-lft-out_binary64_17420
12×unpow1/3_binary64_17536 cube-prod_binary64_17497 div-sub_binary64_17474 distribute-neg-in_binary64_17430
10×swap-sqr_binary64_17436 associate--r-_binary64_17408 associate-+l+_binary64_17402
unpow3_binary64_17535 cube-mult_binary64_17499 associate--l+_binary64_17406
unswap-sqr_binary64_17437
log-rec_binary64_17557 cube-unmult_binary64_17506 remove-double-neg_binary64_17457 --rgt-identity_binary64_17455 associate-+r+_binary64_17401
mul-1-neg_binary64_17461 difference-of-squares_binary64_17438
exp-to-pow_binary64_17531
rem-3cbrt-lft_binary64_17494 /-rgt-identity_binary64_17460 distribute-lft-out--_binary64_17421
log-pow_binary64_17558 pow-plus_binary64_17532 div-exp_binary64_17520 rec-exp_binary64_17519 prod-exp_binary64_17518 1-exp_binary64_17513 exp-1-e_binary64_17512 rem-log-exp_binary64_17510 rem-exp-log_binary64_17509 +-rgt-identity_binary64_17454 distribute-rgt-out--_binary64_17423 associate-+r-_binary64_17403
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_17732 erf-erfc_binary64_17731 erf-odd_binary64_17730 if-if-and-not_binary64_17729 if-if-and_binary64_17728 if-if-or-not_binary64_17727 if-if-or_binary64_17726 if-not_binary64_17725 if-same_binary64_17724 if-false_binary64_17723 if-true_binary64_17722 not-gte_binary64_17721 not-lte_binary64_17720 not-gt_binary64_17719 not-lt_binary64_17718 gte-same_binary64_17717 lte-same_binary64_17716 gt-same_binary64_17715 lt-same_binary64_17714 sinh---cosh_binary64_17661 sinh-+-cosh_binary64_17660 sinh-cosh_binary64_17659 tanh-def-c_binary64_17658 tanh-def-b_binary64_17657 tanh-def-a_binary64_17656 cosh-def_binary64_17655 sinh-def_binary64_17654 tan-neg_binary64_17601 cos-neg_binary64_17600 sin-neg_binary64_17599 tan-0_binary64_17598 cos-0_binary64_17597 sin-0_binary64_17596 hang-m-tan_binary64_17595 hang-p-tan_binary64_17594 hang-m0-tan_binary64_17593 hang-p0-tan_binary64_17592 hang-0m-tan_binary64_17591 hang-0p-tan_binary64_17590 tan-+PI/2_binary64_17589 tan-+PI_binary64_17588 tan-PI_binary64_17587 tan-PI/3_binary64_17586 tan-PI/4_binary64_17585 tan-PI/6_binary64_17584 cos-+PI/2_binary64_17583 cos-+PI_binary64_17582 cos-PI_binary64_17581 cos-PI/2_binary64_17580 cos-PI/3_binary64_17579 cos-PI/4_binary64_17578 cos-PI/6_binary64_17577 sin-+PI/2_binary64_17576 sin-+PI_binary64_17575 sin-PI_binary64_17574 sin-PI/2_binary64_17573 sin-PI/3_binary64_17572 sin-PI/4_binary64_17571 sin-PI/6_binary64_17570 sub-1-sin_binary64_17569 sub-1-cos_binary64_17568 -1-add-sin_binary64_17567 -1-add-cos_binary64_17566 1-sub-sin_binary64_17565 1-sub-cos_binary64_17564 cos-sin-sum_binary64_17563 log-E_binary64_17559 pow-base-0_binary64_17553 unpow2_binary64_17534 unpow1/2_binary64_17533 pow-base-1_binary64_17529 unpow0_binary64_17528 unpow1_binary64_17527 unpow-1_binary64_17526 exp-lft-cube_binary64_17525 exp-lft-sqr_binary64_17524 exp-cbrt_binary64_17523 exp-sqrt_binary64_17522 exp-neg_binary64_17516 e-exp-1_binary64_17514 exp-0_binary64_17511 cube-div_binary64_17498 cube-neg_binary64_17496 rem-3cbrt-rft_binary64_17495 rem-cbrt-cube_binary64_17493 rem-cube-cbrt_binary64_17492 sqr-abs_binary64_17484 sqr-neg_binary64_17483 rem-sqrt-square_binary64_17482 rem-square-sqrt_binary64_17481 sub0-neg_binary64_17456 +-lft-identity_binary64_17453 mul0-rgt_binary64_17452 mul0-lft_binary64_17451 div0_binary64_17450 *-inverses_binary64_17449 +-inverses_binary64_17448 lft-mult-inverse_binary64_17447 rgt-mult-inverse_binary64_17446 remove-double-div_binary64_17445 difference-of-sqr--1_binary64_17440 difference-of-sqr-1_binary64_17439 cancel-sign-sub_binary64_17434 distribute-frac-neg_binary64_17432 distribute-rgt1-in_binary64_17425 distribute-lft1-in_binary64_17424 count-2_binary64_17417 associate--l-_binary64_17407 associate--r+_binary64_17405 associate-+l-_binary64_17404
Counts
150 → 316
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02153465
15383311
216933235

prune610.0ms (2.5%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New3160316
Fresh01717
Picked011
Done000
Total31618334
Error
3.4b
Counts
334 → 18
Compiler

Compiled 19284 to 2306 computations (88% saved)

regimes4.5s (18.5%)

Accuracy

Total 6.8b remaining (84.6%)

Threshold costs 0b (0%)

Compiler

Compiled 43326 to 30348 computations (30% saved)

bsearch165.0ms (0.7%)

Steps
ItersRangePoint
7
2.8245544505851863e+18
4.089909810097361e+20
1.4043242301565923e+20
10
-8.673634936339502e+97
-4.344624423866672e+83
-9.349718374632037e+83
Compiler

Compiled 1 to 9 computations (-800% saved)

simplify83.0ms (0.3%)

Algorithm
egg-herbie
Rules
200×neg-mul-1_binary64_17465 neg-sub0_binary64_17464
198×unsub-neg_binary64_17463
172×distribute-rgt-neg-out_binary64_17429
161×distribute-rgt-neg-in_binary64_17427
137×distribute-neg-out_binary64_17431
130×distribute-lft-neg-out_binary64_17428
114×distribute-lft-neg-in_binary64_17426
109×cancel-sign-sub-inv_binary64_17435
72×remove-double-neg_binary64_17457
70×sub-neg_binary64_17462
64×*-commutative_binary64_17400
53×distribute-neg-in_binary64_17430 +-commutative_binary64_17399
if-if-or-not_binary64_17727 sqr-neg_binary64_17483 --rgt-identity_binary64_17455
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64_17729 if-if-and_binary64_17728 if-if-or_binary64_17726 if-not_binary64_17725 if-same_binary64_17724 if-false_binary64_17723 if-true_binary64_17722 tan-0_binary64_17598 cos-0_binary64_17597 sin-0_binary64_17596 unpow1_binary64_17527 e-exp-1_binary64_17514 1-exp_binary64_17513 exp-1-e_binary64_17512 exp-0_binary64_17511 sqr-abs_binary64_17484 mul-1-neg_binary64_17461 /-rgt-identity_binary64_17460 *-rgt-identity_binary64_17459 *-lft-identity_binary64_17458 sub0-neg_binary64_17456 +-rgt-identity_binary64_17454 +-lft-identity_binary64_17453 cancel-sign-sub_binary64_17434 distribute-neg-frac_binary64_17433 distribute-frac-neg_binary64_17432
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048111
1109109
2163109
3237109
4316109
5382109
6494109
7701109
8638109
9690109
10751109
11818109
12887109
13937109
14966109
15979109
16984109
17985109
18985109
Proof
(=> (if real (<= f64 h0 -934971837463203700304146687499152373404002683149012079229991128538128020070341804032) (+ f64 (- f64 (+ f64 (* f64 (* f64 h1 h2) h3) (* f64 (neg f64 h0) (* f64 h4 h3))) (- f64 (* f64 h2 (* f64 h5 h6)) (* f64 h0 (* f64 h7 h5)))) (* f64 h8 (- f64 (* f64 h6 h4) (* f64 h1 h7)))) (if real (<= f64 h0 140432423015659225088) (+ f64 (- f64 (* f64 h3 (- f64 (* f64 h1 h2) (* f64 h0 h4))) (* f64 h5 (- f64 (* f64 h6 h2) (* f64 h0 h7)))) (- f64 (* f64 h4 (* f64 h8 h6)) (* f64 h7 (* f64 h8 h1)))) (+ f64 (- f64 (+ f64 (* f64 (* f64 h1 h2) h3) (* f64 (neg f64 h0) (* f64 h4 h3))) (- f64 (* f64 h2 (* f64 h5 h6)) (* f64 h0 (* f64 h7 h5)))) (* f64 h8 (- f64 (* f64 h6 h4) (* f64 h1 h7))))))) if-if-or-not_binary64_17727 => (if real (or real (<= f64 h0 -934971837463203700304146687499152373404002683149012079229991128538128020070341804032) (not real (<= f64 h0 140432423015659225088))) (+ f64 (=> (- f64 (+ f64 (* f64 (* f64 h1 h2) h3) (* f64 (neg f64 h0) (* f64 h4 h3))) (- f64 (* f64 h2 (* f64 h5 h6)) (* f64 h0 (* f64 h7 h5))))) (* f64 h8 (- f64 (* f64 h6 h4) (* f64 h1 h7)))) (+ f64 (- f64 (* f64 h3 (- f64 (* f64 h1 h2) (* f64 h0 h4))) (* f64 h5 (- f64 (* f64 h6 h2) (* f64 h0 h7)))) (- f64 (* f64 h4 (* f64 h8 h6)) (* f64 h7 (* f64 h8 h1))))) sub-neg_binary64_17462 => (if real (or real (<= f64 h0 -934971837463203700304146687499152373404002683149012079229991128538128020070341804032) (not real (<= f64 h0 140432423015659225088))) (+ f64 (+ f64 (+ f64 (* f64 (* f64 h1 h2) h3) (* f64 (neg f64 h0) (* f64 h4 h3))) (neg f64 (- f64 (* f64 h2 (* f64 h5 h6)) (* f64 h0 (* f64 h7 h5))))) (* f64 h8 (- f64 (* f64 h6 h4) (* f64 h1 h7)))) (+ f64 (=> (- f64 (* f64 h3 (- f64 (* f64 h1 h2) (* f64 h0 h4))) (* f64 h5 (- f64 (* f64 h6 h2) (* f64 h0 h7))))) (- f64 (* f64 h4 (* f64 h8 h6)) (* f64 h7 (* f64 h8 h1))))) sub-neg_binary64_17462 => (if real (or real (<= f64 h0 -934971837463203700304146687499152373404002683149012079229991128538128020070341804032) (not real (<= f64 h0 140432423015659225088))) (+ f64 (+ f64 (+ f64 (* f64 (* f64 h1 h2) h3) (* f64 (neg f64 h0) (* f64 h4 h3))) (neg f64 (=> (- f64 (* f64 h2 (* f64 h5 h6)) (* f64 h0 (* f64 h7 h5)))))) (* f64 h8 (- f64 (* f64 h6 h4) (* f64 h1 h7)))) (+ f64 (+ f64 (* f64 h3 (- f64 (* f64 h1 h2) (* f64 h0 h4))) (neg f64 (* f64 h5 (- f64 (* f64 h6 h2) (* f64 h0 h7))))) (- f64 (* f64 h4 (* f64 h8 h6)) (* f64 h7 (* f64 h8 h1))))) sub-neg_binary64_17462 => (if real (or real (<= f64 h0 -934971837463203700304146687499152373404002683149012079229991128538128020070341804032) (not real (<= f64 h0 140432423015659225088))) (+ f64 (+ f64 (+ f64 (* f64 (* f64 h1 h2) h3) (=> (* f64 (neg f64 h0) (* f64 h4 h3)))) (neg f64 (+ f64 (* f64 h2 (* f64 h5 h6)) (neg f64 (* f64 h0 (* f64 h7 h5)))))) (* f64 h8 (- f64 (* f64 h6 h4) (* f64 h1 h7)))) (+ f64 (+ f64 (* f64 h3 (- f64 (* f64 h1 h2) (* f64 h0 h4))) (neg f64 (* f64 h5 (- f64 (* f64 h6 h2) (* f64 h0 h7))))) (- f64 (* f64 h4 (* f64 h8 h6)) (* f64 h7 (* f64 h8 h1))))) distribute-lft-neg-out_binary64_17428 => (if real (or real (<= f64 h0 -934971837463203700304146687499152373404002683149012079229991128538128020070341804032) (not real (<= f64 h0 140432423015659225088))) (+ f64 (+ f64 (+ f64 (* f64 (* f64 h1 h2) h3) (neg f64 (* f64 h0 (* f64 h4 h3)))) (neg f64 (+ f64 (* f64 h2 (* f64 h5 h6)) (neg f64 (* f64 h0 (* f64 h7 h5)))))) (* f64 h8 (- f64 (* f64 h6 h4) (* f64 h1 h7)))) (+ f64 (+ f64 (* f64 h3 (- f64 (* f64 h1 h2) (* f64 h0 h4))) (neg f64 (* f64 h5 (- f64 (* f64 h6 h2) (* f64 h0 h7))))) (- f64 (* f64 h4 (=> (* f64 h8 h6))) (* f64 h7 (* f64 h8 h1))))) *-commutative_binary64_17400 => (if real (or real (<= f64 h0 -934971837463203700304146687499152373404002683149012079229991128538128020070341804032) (not real (<= f64 h0 140432423015659225088))) (+ f64 (+ f64 (+ f64 (* f64 (* f64 h1 h2) h3) (neg f64 (* f64 h0 (* f64 h4 h3)))) (neg f64 (+ f64 (* f64 h2 (* f64 h5 h6)) (neg f64 (* f64 h0 (* f64 h7 h5)))))) (* f64 h8 (- f64 (=> (* f64 h6 h4)) (* f64 h1 h7)))) (+ f64 (+ f64 (* f64 h3 (- f64 (* f64 h1 h2) (* f64 h0 h4))) (neg f64 (* f64 h5 (- f64 (* f64 h6 h2) (* f64 h0 h7))))) (- f64 (* f64 h4 (* f64 h6 h8)) (* f64 h7 (* f64 h8 h1))))) *-commutative_binary64_17400 => (if real (or real (<= f64 h0 -934971837463203700304146687499152373404002683149012079229991128538128020070341804032) (not real (<= f64 h0 140432423015659225088))) (+ f64 (+ f64 (+ f64 (* f64 (* f64 h1 h2) h3) (neg f64 (* f64 h0 (* f64 h4 h3)))) (neg f64 (+ f64 (* f64 h2 (* f64 h5 h6)) (neg f64 (* f64 h0 (* f64 h7 h5)))))) (* f64 h8 (- f64 (* f64 h4 h6) (* f64 h1 h7)))) (+ f64 (+ f64 (* f64 h3 (- f64 (* f64 h1 h2) (* f64 h0 h4))) (neg f64 (* f64 h5 (- f64 (* f64 h6 h2) (* f64 h0 h7))))) (- f64 (* f64 h4 (* f64 h6 h8)) (* f64 h7 (=> (* f64 h8 h1)))))) *-commutative_binary64_17400 => (if real (or real (<= f64 h0 -934971837463203700304146687499152373404002683149012079229991128538128020070341804032) (not real (<= f64 h0 140432423015659225088))) (+ f64 (+ f64 (=> (+ f64 (* f64 (* f64 h1 h2) h3) (neg f64 (* f64 h0 (* f64 h4 h3))))) (neg f64 (+ f64 (* f64 h2 (* f64 h5 h6)) (neg f64 (* f64 h0 (* f64 h7 h5)))))) (* f64 h8 (- f64 (* f64 h4 h6) (* f64 h1 h7)))) (+ f64 (+ f64 (* f64 h3 (- f64 (* f64 h1 h2) (* f64 h0 h4))) (neg f64 (* f64 h5 (- f64 (* f64 h6 h2) (* f64 h0 h7))))) (- f64 (* f64 h4 (* f64 h6 h8)) (* f64 h7 (* f64 h1 h8))))) unsub-neg_binary64_17463 => (if real (or real (<= f64 h0 -934971837463203700304146687499152373404002683149012079229991128538128020070341804032) (not real (<= f64 h0 140432423015659225088))) (+ f64 (+ f64 (- f64 (* f64 (* f64 h1 h2) h3) (* f64 h0 (=> (* f64 h4 h3)))) (neg f64 (+ f64 (* f64 h2 (* f64 h5 h6)) (neg f64 (* f64 h0 (* f64 h7 h5)))))) (* f64 h8 (- f64 (* f64 h4 h6) (* f64 h1 h7)))) (+ f64 (+ f64 (* f64 h3 (- f64 (* f64 h1 h2) (* f64 h0 h4))) (neg f64 (* f64 h5 (- f64 (* f64 h6 h2) (* f64 h0 h7))))) (- f64 (* f64 h4 (* f64 h6 h8)) (* f64 h7 (* f64 h1 h8))))) *-commutative_binary64_17400 => (if real (or real (<= f64 h0 -934971837463203700304146687499152373404002683149012079229991128538128020070341804032) (not real (<= f64 h0 140432423015659225088))) (+ f64 (+ f64 (- f64 (* f64 (* f64 h1 h2) h3) (* f64 h0 (* f64 h3 h4))) (neg f64 (+ f64 (* f64 h2 (* f64 h5 h6)) (neg f64 (* f64 h0 (* f64 h7 h5)))))) (* f64 h8 (- f64 (* f64 h4 h6) (* f64 h1 h7)))) (+ f64 (+ f64 (* f64 h3 (- f64 (* f64 h1 h2) (* f64 h0 h4))) (=> (neg f64 (* f64 h5 (- f64 (* f64 h6 h2) (* f64 h0 h7)))))) (- f64 (* f64 h4 (* f64 h6 h8)) (* f64 h7 (* f64 h1 h8))))) distribute-rgt-neg-in_binary64_17427 => (if real (or real (<= f64 h0 -934971837463203700304146687499152373404002683149012079229991128538128020070341804032) (not real (<= f64 h0 140432423015659225088))) (+ f64 (+ f64 (- f64 (* f64 (* f64 h1 h2) h3) (* f64 h0 (* f64 h3 h4))) (neg f64 (+ f64 (* f64 h2 (* f64 h5 h6)) (neg f64 (* f64 h0 (* f64 h7 h5)))))) (* f64 h8 (- f64 (* f64 h4 h6) (* f64 h1 h7)))) (+ f64 (+ f64 (* f64 h3 (- f64 (* f64 h1 h2) (* f64 h0 h4))) (* f64 h5 (neg f64 (=> (- f64 (* f64 h6 h2) (* f64 h0 h7)))))) (- f64 (* f64 h4 (* f64 h6 h8)) (* f64 h7 (* f64 h1 h8))))) sub-neg_binary64_17462 => (if real (or real (<= f64 h0 -934971837463203700304146687499152373404002683149012079229991128538128020070341804032) (not real (<= f64 h0 140432423015659225088))) (+ f64 (+ f64 (- f64 (* f64 (* f64 h1 h2) h3) (* f64 h0 (* f64 h3 h4))) (neg f64 (+ f64 (* f64 h2 (* f64 h5 h6)) (neg f64 (* f64 h0 (* f64 h7 h5)))))) (* f64 h8 (- f64 (* f64 h4 h6) (* f64 h1 h7)))) (+ f64 (+ f64 (* f64 h3 (- f64 (* f64 h1 h2) (* f64 h0 h4))) (* f64 h5 (neg f64 (=> (+ f64 (* f64 h6 h2) (neg f64 (* f64 h0 h7))))))) (- f64 (* f64 h4 (* f64 h6 h8)) (* f64 h7 (* f64 h1 h8))))) +-commutative_binary64_17399 => (if real (or real (<= f64 h0 -934971837463203700304146687499152373404002683149012079229991128538128020070341804032) (not real (<= f64 h0 140432423015659225088))) (+ f64 (+ f64 (- f64 (* f64 (* f64 h1 h2) h3) (* f64 h0 (* f64 h3 h4))) (neg f64 (=> (+ f64 (* f64 h2 (* f64 h5 h6)) (neg f64 (* f64 h0 (* f64 h7 h5))))))) (* f64 h8 (- f64 (* f64 h4 h6) (* f64 h1 h7)))) (+ f64 (+ f64 (* f64 h3 (- f64 (* f64 h1 h2) (* f64 h0 h4))) (* f64 h5 (neg f64 (+ f64 (neg f64 (* f64 h0 h7)) (* f64 h6 h2))))) (- f64 (* f64 h4 (* f64 h6 h8)) (* f64 h7 (* f64 h1 h8))))) +-commutative_binary64_17399 => (if real (or real (<= f64 h0 -934971837463203700304146687499152373404002683149012079229991128538128020070341804032) (not real (<= f64 h0 140432423015659225088))) (+ f64 (+ f64 (- f64 (* f64 (* f64 h1 h2) h3) (* f64 h0 (* f64 h3 h4))) (neg f64 (+ f64 (neg f64 (* f64 h0 (* f64 h7 h5))) (* f64 h2 (* f64 h5 h6))))) (* f64 h8 (- f64 (* f64 h4 h6) (* f64 h1 h7)))) (+ f64 (+ f64 (* f64 h3 (- f64 (* f64 h1 h2) (* f64 h0 h4))) (* f64 h5 (=> (neg f64 (+ f64 (neg f64 (* f64 h0 h7)) (* f64 h6 h2)))))) (- f64 (* f64 h4 (* f64 h6 h8)) (* f64 h7 (* f64 h1 h8))))) distribute-neg-in_binary64_17430 => (if real (or real (<= f64 h0 -934971837463203700304146687499152373404002683149012079229991128538128020070341804032) (not real (<= f64 h0 140432423015659225088))) (+ f64 (+ f64 (- f64 (* f64 (* f64 h1 h2) h3) (* f64 h0 (* f64 h3 h4))) (=> (neg f64 (+ f64 (neg f64 (* f64 h0 (* f64 h7 h5))) (* f64 h2 (* f64 h5 h6)))))) (* f64 h8 (- f64 (* f64 h4 h6) (* f64 h1 h7)))) (+ f64 (+ f64 (* f64 h3 (- f64 (* f64 h1 h2) (* f64 h0 h4))) (* f64 h5 (+ f64 (neg f64 (neg f64 (* f64 h0 h7))) (neg f64 (* f64 h6 h2))))) (- f64 (* f64 h4 (* f64 h6 h8)) (* f64 h7 (* f64 h1 h8))))) distribute-neg-in_binary64_17430 => (if real (or real (<= f64 h0 -934971837463203700304146687499152373404002683149012079229991128538128020070341804032) (not real (<= f64 h0 140432423015659225088))) (+ f64 (+ f64 (- f64 (* f64 (* f64 h1 h2) h3) (* f64 h0 (* f64 h3 h4))) (+ f64 (=> (neg f64 (neg f64 (* f64 h0 (* f64 h7 h5))))) (neg f64 (* f64 h2 (* f64 h5 h6))))) (* f64 h8 (- f64 (* f64 h4 h6) (* f64 h1 h7)))) (+ f64 (+ f64 (* f64 h3 (- f64 (* f64 h1 h2) (* f64 h0 h4))) (* f64 h5 (+ f64 (neg f64 (neg f64 (* f64 h0 h7))) (neg f64 (* f64 h6 h2))))) (- f64 (* f64 h4 (* f64 h6 h8)) (* f64 h7 (* f64 h1 h8))))) remove-double-neg_binary64_17457 => (if real (or real (<= f64 h0 -934971837463203700304146687499152373404002683149012079229991128538128020070341804032) (not real (<= f64 h0 140432423015659225088))) (+ f64 (+ f64 (- f64 (* f64 (* f64 h1 h2) h3) (* f64 h0 (* f64 h3 h4))) (+ f64 (* f64 h0 (* f64 h7 h5)) (neg f64 (* f64 h2 (* f64 h5 h6))))) (* f64 h8 (- f64 (* f64 h4 h6) (* f64 h1 h7)))) (+ f64 (+ f64 (* f64 h3 (- f64 (* f64 h1 h2) (* f64 h0 h4))) (* f64 h5 (=> (+ f64 (neg f64 (neg f64 (* f64 h0 h7))) (neg f64 (* f64 h6 h2)))))) (- f64 (* f64 h4 (* f64 h6 h8)) (* f64 h7 (* f64 h1 h8))))) unsub-neg_binary64_17463 => (if real (or real (<= f64 h0 -934971837463203700304146687499152373404002683149012079229991128538128020070341804032) (not real (<= f64 h0 140432423015659225088))) (+ f64 (+ f64 (- f64 (* f64 (* f64 h1 h2) h3) (* f64 h0 (* f64 h3 h4))) (+ f64 (* f64 h0 (* f64 h7 h5)) (neg f64 (* f64 h2 (* f64 h5 h6))))) (* f64 h8 (- f64 (* f64 h4 h6) (* f64 h1 h7)))) (+ f64 (+ f64 (* f64 h3 (- f64 (* f64 h1 h2) (* f64 h0 h4))) (* f64 h5 (- f64 (neg f64 (neg f64 (* f64 h0 h7))) (=> (* f64 h6 h2))))) (- f64 (* f64 h4 (* f64 h6 h8)) (* f64 h7 (* f64 h1 h8))))) *-commutative_binary64_17400 => (if real (or real (<= f64 h0 -934971837463203700304146687499152373404002683149012079229991128538128020070341804032) (not real (<= f64 h0 140432423015659225088))) (+ f64 (+ f64 (- f64 (* f64 (* f64 h1 h2) h3) (* f64 h0 (* f64 h3 h4))) (=> (+ f64 (* f64 h0 (* f64 h7 h5)) (neg f64 (* f64 h2 (* f64 h5 h6)))))) (* f64 h8 (- f64 (* f64 h4 h6) (* f64 h1 h7)))) (+ f64 (+ f64 (* f64 h3 (- f64 (* f64 h1 h2) (* f64 h0 h4))) (* f64 h5 (- f64 (neg f64 (neg f64 (* f64 h0 h7))) (* f64 h2 h6)))) (- f64 (* f64 h4 (* f64 h6 h8)) (* f64 h7 (* f64 h1 h8))))) unsub-neg_binary64_17463 => (if real (or real (<= f64 h0 -934971837463203700304146687499152373404002683149012079229991128538128020070341804032) (not real (<= f64 h0 140432423015659225088))) (+ f64 (+ f64 (- f64 (* f64 (* f64 h1 h2) h3) (* f64 h0 (* f64 h3 h4))) (- f64 (* f64 h0 (=> (* f64 h7 h5))) (* f64 h2 (* f64 h5 h6)))) (* f64 h8 (- f64 (* f64 h4 h6) (* f64 h1 h7)))) (+ f64 (+ f64 (* f64 h3 (- f64 (* f64 h1 h2) (* f64 h0 h4))) (* f64 h5 (- f64 (neg f64 (neg f64 (* f64 h0 h7))) (* f64 h2 h6)))) (- f64 (* f64 h4 (* f64 h6 h8)) (* f64 h7 (* f64 h1 h8))))) *-commutative_binary64_17400 => (if real (or real (<= f64 h0 -934971837463203700304146687499152373404002683149012079229991128538128020070341804032) (not real (<= f64 h0 140432423015659225088))) (+ f64 (+ f64 (- f64 (* f64 (* f64 h1 h2) h3) (* f64 h0 (* f64 h3 h4))) (- f64 (* f64 h0 (* f64 h5 h7)) (* f64 h2 (* f64 h5 h6)))) (* f64 h8 (- f64 (* f64 h4 h6) (* f64 h1 h7)))) (+ f64 (+ f64 (* f64 h3 (- f64 (* f64 h1 h2) (* f64 h0 h4))) (* f64 h5 (- f64 (=> (neg f64 (neg f64 (* f64 h0 h7)))) (* f64 h2 h6)))) (- f64 (* f64 h4 (* f64 h6 h8)) (* f64 h7 (* f64 h1 h8))))) remove-double-neg_binary64_17457 => (if real (or real (<= f64 h0 -934971837463203700304146687499152373404002683149012079229991128538128020070341804032) (not real (<= f64 h0 140432423015659225088))) (+ f64 (+ f64 (- f64 (* f64 (* f64 h1 h2) h3) (* f64 h0 (* f64 h3 h4))) (- f64 (* f64 h0 (* f64 h5 h7)) (* f64 h2 (* f64 h5 h6)))) (* f64 h8 (- f64 (* f64 h4 h6) (* f64 h1 h7)))) (+ f64 (+ f64 (* f64 h3 (- f64 (* f64 h1 h2) (* f64 h0 h4))) (* f64 h5 (- f64 (* f64 h0 h7) (* f64 h2 h6)))) (- f64 (* f64 h4 (* f64 h6 h8)) (* f64 h7 (* f64 h1 h8)))))

end0.0ms (0%)

sample5.2s (21.5%)

Algorithm
intervals
Results
871.0ms11107×body128invalid
617.0ms8000×body128valid
Compiler

Compiled 4543 to 3145 computations (30.8% saved)

Profiling

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