Details

Time bar (total: 524.0ms)

analyze149.0ms (28.4%)

Algorithm
search
egg-herbie
Rules
28×cancel-sign-sub-inv_binary64_5500
21×sub-neg_binary64_5527
10×unsub-neg_binary64_5528 distribute-lft-neg-out_binary64_5493 associate--r-_binary64_5473
distribute-rgt-neg-out_binary64_5494 associate--r+_binary64_5470
distribute-rgt-neg-in_binary64_5492 associate--l-_binary64_5472
associate-+l-_binary64_5469
neg-mul-1_binary64_5530 neg-sub0_binary64_5529 distribute-rgt-in_binary64_5484 associate-*r*_binary64_5474 associate--l+_binary64_5471 +-commutative_binary64_5464
sub0-neg_binary64_5521 distribute-rgt-out--_binary64_5488 *-commutative_binary64_5465
*-lft-identity_binary64_5523 distribute-neg-out_binary64_5496 distribute-lft-neg-in_binary64_5491 distribute-lft-out_binary64_5485
--rgt-identity_binary64_5520 distribute-neg-in_binary64_5495 distribute-lft-out--_binary64_5486 associate-+r+_binary64_5466
1-exp_binary64_5578 remove-double-neg_binary64_5522 +-rgt-identity_binary64_5519 +-lft-identity_binary64_5518 distribute-rgt-out_binary64_5487 count-2_binary64_5482 associate-*l*_binary64_5475 associate-+r-_binary64_5468 associate-+l+_binary64_5467
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_5797 erf-erfc_binary64_5796 erf-odd_binary64_5795 if-if-and-not_binary64_5794 if-if-and_binary64_5793 if-if-or-not_binary64_5792 if-if-or_binary64_5791 if-not_binary64_5790 if-same_binary64_5789 if-false_binary64_5788 if-true_binary64_5787 not-gte_binary64_5786 not-lte_binary64_5785 not-gt_binary64_5784 not-lt_binary64_5783 gte-same_binary64_5782 lte-same_binary64_5781 gt-same_binary64_5780 lt-same_binary64_5779 sinh---cosh_binary64_5726 sinh-+-cosh_binary64_5725 sinh-cosh_binary64_5724 tanh-def-c_binary64_5723 tanh-def-b_binary64_5722 tanh-def-a_binary64_5721 cosh-def_binary64_5720 sinh-def_binary64_5719 tan-neg_binary64_5666 cos-neg_binary64_5665 sin-neg_binary64_5664 tan-0_binary64_5663 cos-0_binary64_5662 sin-0_binary64_5661 hang-m-tan_binary64_5660 hang-p-tan_binary64_5659 hang-m0-tan_binary64_5658 hang-p0-tan_binary64_5657 hang-0m-tan_binary64_5656 hang-0p-tan_binary64_5655 tan-+PI/2_binary64_5654 tan-+PI_binary64_5653 tan-PI_binary64_5652 tan-PI/3_binary64_5651 tan-PI/4_binary64_5650 tan-PI/6_binary64_5649 cos-+PI/2_binary64_5648 cos-+PI_binary64_5647 cos-PI_binary64_5646 cos-PI/2_binary64_5645 cos-PI/3_binary64_5644 cos-PI/4_binary64_5643 cos-PI/6_binary64_5642 sin-+PI/2_binary64_5641 sin-+PI_binary64_5640 sin-PI_binary64_5639 sin-PI/2_binary64_5638 sin-PI/3_binary64_5637 sin-PI/4_binary64_5636 sin-PI/6_binary64_5635 sub-1-sin_binary64_5634 sub-1-cos_binary64_5633 -1-add-sin_binary64_5632 -1-add-cos_binary64_5631 1-sub-sin_binary64_5630 1-sub-cos_binary64_5629 cos-sin-sum_binary64_5628 log-E_binary64_5624 log-pow_binary64_5623 log-rec_binary64_5622 log-div_binary64_5621 log-prod_binary64_5620 pow-base-0_binary64_5618 unpow1/3_binary64_5601 unpow3_binary64_5600 unpow2_binary64_5599 unpow1/2_binary64_5598 pow-plus_binary64_5597 exp-to-pow_binary64_5596 pow-base-1_binary64_5594 unpow0_binary64_5593 unpow1_binary64_5592 unpow-1_binary64_5591 exp-lft-cube_binary64_5590 exp-lft-sqr_binary64_5589 exp-cbrt_binary64_5588 exp-sqrt_binary64_5587 exp-prod_binary64_5586 div-exp_binary64_5585 rec-exp_binary64_5584 prod-exp_binary64_5583 exp-diff_binary64_5582 exp-neg_binary64_5581 exp-sum_binary64_5580 e-exp-1_binary64_5579 exp-1-e_binary64_5577 exp-0_binary64_5576 rem-log-exp_binary64_5575 rem-exp-log_binary64_5574 cube-unmult_binary64_5571 cube-mult_binary64_5564 cube-div_binary64_5563 cube-prod_binary64_5562 cube-neg_binary64_5561 rem-3cbrt-rft_binary64_5560 rem-3cbrt-lft_binary64_5559 rem-cbrt-cube_binary64_5558 rem-cube-cbrt_binary64_5557 sqr-abs_binary64_5549 sqr-neg_binary64_5548 rem-sqrt-square_binary64_5547 rem-square-sqrt_binary64_5546 times-frac_binary64_5540 div-sub_binary64_5539 mul-1-neg_binary64_5526 /-rgt-identity_binary64_5525 *-rgt-identity_binary64_5524 mul0-rgt_binary64_5517 mul0-lft_binary64_5516 div0_binary64_5515 *-inverses_binary64_5514 +-inverses_binary64_5513 lft-mult-inverse_binary64_5512 rgt-mult-inverse_binary64_5511 remove-double-div_binary64_5510 pow-sqr_binary64_5507 sqr-pow_binary64_5506 difference-of-sqr--1_binary64_5505 difference-of-sqr-1_binary64_5504 difference-of-squares_binary64_5503 unswap-sqr_binary64_5502 swap-sqr_binary64_5501 cancel-sign-sub_binary64_5499 distribute-neg-frac_binary64_5498 distribute-frac-neg_binary64_5497 distribute-rgt1-in_binary64_5490 distribute-lft1-in_binary64_5489 distribute-lft-in_binary64_5483 associate-/l/_binary64_5481 associate-/r/_binary64_5480 associate-/l*_binary64_5479 associate-/r*_binary64_5478 associate-*l/_binary64_5477 associate-*r/_binary64_5476
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
1147
2187
3217
4257
5347
6577
71197
81517
91547
101557
111157
011
111
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0.1%13
99.9%0%0.1%14
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample10.0ms (2%)

Algorithm
intervals
Results
4.0ms256×body128valid
Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify14.0ms (2.7%)

Algorithm
egg-herbie
Rules
28×cancel-sign-sub-inv_binary64_5500
21×sub-neg_binary64_5527
10×unsub-neg_binary64_5528 distribute-lft-neg-out_binary64_5493 associate--r-_binary64_5473
distribute-rgt-neg-out_binary64_5494 associate--r+_binary64_5470
distribute-rgt-neg-in_binary64_5492 associate--l-_binary64_5472
associate-+l-_binary64_5469
neg-mul-1_binary64_5530 neg-sub0_binary64_5529 distribute-rgt-in_binary64_5484 associate-*r*_binary64_5474 associate--l+_binary64_5471 +-commutative_binary64_5464
sub0-neg_binary64_5521 distribute-rgt-out--_binary64_5488 *-commutative_binary64_5465
*-lft-identity_binary64_5523 distribute-neg-out_binary64_5496 distribute-lft-neg-in_binary64_5491 distribute-lft-out_binary64_5485
--rgt-identity_binary64_5520 distribute-neg-in_binary64_5495 distribute-lft-out--_binary64_5486 associate-+r+_binary64_5466
1-exp_binary64_5578 remove-double-neg_binary64_5522 +-rgt-identity_binary64_5519 +-lft-identity_binary64_5518 distribute-rgt-out_binary64_5487 count-2_binary64_5482 associate-*l*_binary64_5475 associate-+r-_binary64_5468 associate-+l+_binary64_5467
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_5797 erf-erfc_binary64_5796 erf-odd_binary64_5795 if-if-and-not_binary64_5794 if-if-and_binary64_5793 if-if-or-not_binary64_5792 if-if-or_binary64_5791 if-not_binary64_5790 if-same_binary64_5789 if-false_binary64_5788 if-true_binary64_5787 not-gte_binary64_5786 not-lte_binary64_5785 not-gt_binary64_5784 not-lt_binary64_5783 gte-same_binary64_5782 lte-same_binary64_5781 gt-same_binary64_5780 lt-same_binary64_5779 sinh---cosh_binary64_5726 sinh-+-cosh_binary64_5725 sinh-cosh_binary64_5724 tanh-def-c_binary64_5723 tanh-def-b_binary64_5722 tanh-def-a_binary64_5721 cosh-def_binary64_5720 sinh-def_binary64_5719 tan-neg_binary64_5666 cos-neg_binary64_5665 sin-neg_binary64_5664 tan-0_binary64_5663 cos-0_binary64_5662 sin-0_binary64_5661 hang-m-tan_binary64_5660 hang-p-tan_binary64_5659 hang-m0-tan_binary64_5658 hang-p0-tan_binary64_5657 hang-0m-tan_binary64_5656 hang-0p-tan_binary64_5655 tan-+PI/2_binary64_5654 tan-+PI_binary64_5653 tan-PI_binary64_5652 tan-PI/3_binary64_5651 tan-PI/4_binary64_5650 tan-PI/6_binary64_5649 cos-+PI/2_binary64_5648 cos-+PI_binary64_5647 cos-PI_binary64_5646 cos-PI/2_binary64_5645 cos-PI/3_binary64_5644 cos-PI/4_binary64_5643 cos-PI/6_binary64_5642 sin-+PI/2_binary64_5641 sin-+PI_binary64_5640 sin-PI_binary64_5639 sin-PI/2_binary64_5638 sin-PI/3_binary64_5637 sin-PI/4_binary64_5636 sin-PI/6_binary64_5635 sub-1-sin_binary64_5634 sub-1-cos_binary64_5633 -1-add-sin_binary64_5632 -1-add-cos_binary64_5631 1-sub-sin_binary64_5630 1-sub-cos_binary64_5629 cos-sin-sum_binary64_5628 log-E_binary64_5624 log-pow_binary64_5623 log-rec_binary64_5622 log-div_binary64_5621 log-prod_binary64_5620 pow-base-0_binary64_5618 unpow1/3_binary64_5601 unpow3_binary64_5600 unpow2_binary64_5599 unpow1/2_binary64_5598 pow-plus_binary64_5597 exp-to-pow_binary64_5596 pow-base-1_binary64_5594 unpow0_binary64_5593 unpow1_binary64_5592 unpow-1_binary64_5591 exp-lft-cube_binary64_5590 exp-lft-sqr_binary64_5589 exp-cbrt_binary64_5588 exp-sqrt_binary64_5587 exp-prod_binary64_5586 div-exp_binary64_5585 rec-exp_binary64_5584 prod-exp_binary64_5583 exp-diff_binary64_5582 exp-neg_binary64_5581 exp-sum_binary64_5580 e-exp-1_binary64_5579 exp-1-e_binary64_5577 exp-0_binary64_5576 rem-log-exp_binary64_5575 rem-exp-log_binary64_5574 cube-unmult_binary64_5571 cube-mult_binary64_5564 cube-div_binary64_5563 cube-prod_binary64_5562 cube-neg_binary64_5561 rem-3cbrt-rft_binary64_5560 rem-3cbrt-lft_binary64_5559 rem-cbrt-cube_binary64_5558 rem-cube-cbrt_binary64_5557 sqr-abs_binary64_5549 sqr-neg_binary64_5548 rem-sqrt-square_binary64_5547 rem-square-sqrt_binary64_5546 times-frac_binary64_5540 div-sub_binary64_5539 mul-1-neg_binary64_5526 /-rgt-identity_binary64_5525 *-rgt-identity_binary64_5524 mul0-rgt_binary64_5517 mul0-lft_binary64_5516 div0_binary64_5515 *-inverses_binary64_5514 +-inverses_binary64_5513 lft-mult-inverse_binary64_5512 rgt-mult-inverse_binary64_5511 remove-double-div_binary64_5510 pow-sqr_binary64_5507 sqr-pow_binary64_5506 difference-of-sqr--1_binary64_5505 difference-of-sqr-1_binary64_5504 difference-of-squares_binary64_5503 unswap-sqr_binary64_5502 swap-sqr_binary64_5501 cancel-sign-sub_binary64_5499 distribute-neg-frac_binary64_5498 distribute-frac-neg_binary64_5497 distribute-rgt1-in_binary64_5490 distribute-lft1-in_binary64_5489 distribute-lft-in_binary64_5483 associate-/l/_binary64_5481 associate-/r/_binary64_5480 associate-/l*_binary64_5479 associate-/r*_binary64_5478 associate-*l/_binary64_5477 associate-*r/_binary64_5476
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
1147
2187
3217
4257
5347
6577
71197
81517
91547
101557
111157

prune2.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0b
Counts
1 → 1
Compiler

Compiled 5 to 4 computations (20% saved)

localize7.0ms (1.4%)

rewrite0.0ms (0.1%)

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

Compiled 0 to 0 computations (0% saved)

series0.0ms (0.1%)

Error
0b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

simplify8.0ms (1.5%)

Algorithm
egg-herbie
Rules
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_5797 erf-erfc_binary64_5796 erf-odd_binary64_5795 if-if-and-not_binary64_5794 if-if-and_binary64_5793 if-if-or-not_binary64_5792 if-if-or_binary64_5791 if-not_binary64_5790 if-same_binary64_5789 if-false_binary64_5788 if-true_binary64_5787 not-gte_binary64_5786 not-lte_binary64_5785 not-gt_binary64_5784 not-lt_binary64_5783 gte-same_binary64_5782 lte-same_binary64_5781 gt-same_binary64_5780 lt-same_binary64_5779 sinh---cosh_binary64_5726 sinh-+-cosh_binary64_5725 sinh-cosh_binary64_5724 tanh-def-c_binary64_5723 tanh-def-b_binary64_5722 tanh-def-a_binary64_5721 cosh-def_binary64_5720 sinh-def_binary64_5719 tan-neg_binary64_5666 cos-neg_binary64_5665 sin-neg_binary64_5664 tan-0_binary64_5663 cos-0_binary64_5662 sin-0_binary64_5661 hang-m-tan_binary64_5660 hang-p-tan_binary64_5659 hang-m0-tan_binary64_5658 hang-p0-tan_binary64_5657 hang-0m-tan_binary64_5656 hang-0p-tan_binary64_5655 tan-+PI/2_binary64_5654 tan-+PI_binary64_5653 tan-PI_binary64_5652 tan-PI/3_binary64_5651 tan-PI/4_binary64_5650 tan-PI/6_binary64_5649 cos-+PI/2_binary64_5648 cos-+PI_binary64_5647 cos-PI_binary64_5646 cos-PI/2_binary64_5645 cos-PI/3_binary64_5644 cos-PI/4_binary64_5643 cos-PI/6_binary64_5642 sin-+PI/2_binary64_5641 sin-+PI_binary64_5640 sin-PI_binary64_5639 sin-PI/2_binary64_5638 sin-PI/3_binary64_5637 sin-PI/4_binary64_5636 sin-PI/6_binary64_5635 sub-1-sin_binary64_5634 sub-1-cos_binary64_5633 -1-add-sin_binary64_5632 -1-add-cos_binary64_5631 1-sub-sin_binary64_5630 1-sub-cos_binary64_5629 cos-sin-sum_binary64_5628 log-E_binary64_5624 log-pow_binary64_5623 log-rec_binary64_5622 log-div_binary64_5621 log-prod_binary64_5620 pow-base-0_binary64_5618 unpow1/3_binary64_5601 unpow3_binary64_5600 unpow2_binary64_5599 unpow1/2_binary64_5598 pow-plus_binary64_5597 exp-to-pow_binary64_5596 pow-base-1_binary64_5594 unpow0_binary64_5593 unpow1_binary64_5592 unpow-1_binary64_5591 exp-lft-cube_binary64_5590 exp-lft-sqr_binary64_5589 exp-cbrt_binary64_5588 exp-sqrt_binary64_5587 exp-prod_binary64_5586 div-exp_binary64_5585 rec-exp_binary64_5584 prod-exp_binary64_5583 exp-diff_binary64_5582 exp-neg_binary64_5581 exp-sum_binary64_5580 e-exp-1_binary64_5579 1-exp_binary64_5578 exp-1-e_binary64_5577 exp-0_binary64_5576 rem-log-exp_binary64_5575 rem-exp-log_binary64_5574 cube-unmult_binary64_5571 cube-mult_binary64_5564 cube-div_binary64_5563 cube-prod_binary64_5562 cube-neg_binary64_5561 rem-3cbrt-rft_binary64_5560 rem-3cbrt-lft_binary64_5559 rem-cbrt-cube_binary64_5558 rem-cube-cbrt_binary64_5557 sqr-abs_binary64_5549 sqr-neg_binary64_5548 rem-sqrt-square_binary64_5547 rem-square-sqrt_binary64_5546 times-frac_binary64_5540 div-sub_binary64_5539 neg-mul-1_binary64_5530 neg-sub0_binary64_5529 unsub-neg_binary64_5528 sub-neg_binary64_5527 mul-1-neg_binary64_5526 /-rgt-identity_binary64_5525 *-rgt-identity_binary64_5524 *-lft-identity_binary64_5523 remove-double-neg_binary64_5522 sub0-neg_binary64_5521 --rgt-identity_binary64_5520 +-rgt-identity_binary64_5519 +-lft-identity_binary64_5518 mul0-rgt_binary64_5517 mul0-lft_binary64_5516 div0_binary64_5515 *-inverses_binary64_5514 +-inverses_binary64_5513 lft-mult-inverse_binary64_5512 rgt-mult-inverse_binary64_5511 remove-double-div_binary64_5510 pow-sqr_binary64_5507 sqr-pow_binary64_5506 difference-of-sqr--1_binary64_5505 difference-of-sqr-1_binary64_5504 difference-of-squares_binary64_5503 unswap-sqr_binary64_5502 swap-sqr_binary64_5501 cancel-sign-sub-inv_binary64_5500 cancel-sign-sub_binary64_5499 distribute-neg-frac_binary64_5498 distribute-frac-neg_binary64_5497 distribute-neg-out_binary64_5496 distribute-neg-in_binary64_5495 distribute-rgt-neg-out_binary64_5494 distribute-lft-neg-out_binary64_5493 distribute-rgt-neg-in_binary64_5492 distribute-lft-neg-in_binary64_5491 distribute-rgt1-in_binary64_5490 distribute-lft1-in_binary64_5489 distribute-rgt-out--_binary64_5488 distribute-rgt-out_binary64_5487 distribute-lft-out--_binary64_5486 distribute-lft-out_binary64_5485 distribute-rgt-in_binary64_5484 distribute-lft-in_binary64_5483 count-2_binary64_5482 associate-/l/_binary64_5481 associate-/r/_binary64_5480 associate-/l*_binary64_5479 associate-/r*_binary64_5478 associate-*l/_binary64_5477 associate-*r/_binary64_5476 associate-*l*_binary64_5475 associate-*r*_binary64_5474 associate--r-_binary64_5473 associate--l-_binary64_5472 associate--l+_binary64_5471 associate--r+_binary64_5470 associate-+l-_binary64_5469 associate-+r-_binary64_5468 associate-+l+_binary64_5467 associate-+r+_binary64_5466 *-commutative_binary64_5465 +-commutative_binary64_5464
Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
100

prune2.0ms (0.3%)

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Compiled 5 to 4 computations (20% saved)

simplify3.0ms (0.7%)

Algorithm
egg-herbie
Rules
neg-mul-1_binary64_5530 neg-sub0_binary64_5529 sub-neg_binary64_5527 *-rgt-identity_binary64_5524 +-commutative_binary64_5464
1-exp_binary64_5578 unsub-neg_binary64_5528 distribute-rgt-neg-out_binary64_5494 *-commutative_binary64_5465
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_5794 if-if-and_binary64_5793 if-if-or-not_binary64_5792 if-if-or_binary64_5791 if-not_binary64_5790 if-same_binary64_5789 if-false_binary64_5788 if-true_binary64_5787 tan-0_binary64_5663 cos-0_binary64_5662 sin-0_binary64_5661 unpow1_binary64_5592 e-exp-1_binary64_5579 exp-1-e_binary64_5577 exp-0_binary64_5576 sqr-abs_binary64_5549 sqr-neg_binary64_5548 mul-1-neg_binary64_5526 /-rgt-identity_binary64_5525 *-lft-identity_binary64_5523 remove-double-neg_binary64_5522 sub0-neg_binary64_5521 --rgt-identity_binary64_5520 +-rgt-identity_binary64_5519 +-lft-identity_binary64_5518 cancel-sign-sub-inv_binary64_5500 cancel-sign-sub_binary64_5499 distribute-neg-frac_binary64_5498 distribute-frac-neg_binary64_5497 distribute-neg-out_binary64_5496 distribute-neg-in_binary64_5495 distribute-lft-neg-out_binary64_5493 distribute-rgt-neg-in_binary64_5492 distribute-lft-neg-in_binary64_5491
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
197
2137
3157
4187
5177
6157

end0.0ms (0%)

sample328.0ms (62.5%)

Algorithm
intervals
Results
117.0ms8000×body128valid
Compiler

Compiled 16 to 14 computations (12.5% saved)

Profiling

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