Details

Time bar (total: 1.0s)

analyze143.0ms (14.3%)

Algorithm
search
egg-herbie
Rules
*-lft-identity_binary64_5523 swap-sqr_binary64_5501 distribute-rgt1-in_binary64_5490 distribute-rgt-in_binary64_5484 distribute-lft-in_binary64_5483 associate-*l*_binary64_5475 +-commutative_binary64_5464
1-exp_binary64_5578 *-rgt-identity_binary64_5524 associate-*r*_binary64_5474 *-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 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 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 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 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-lft1-in_binary64_5489 distribute-rgt-out--_binary64_5488 distribute-rgt-out_binary64_5487 distribute-lft-out--_binary64_5486 distribute-lft-out_binary64_5485 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--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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
187
2127
3187
4147
5227
6217
7197
011
111
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%37.5%12.5%4
62.5%12.5%25%5
68.7%6.2%25%6
71.8%3.1%25%7
73.4%1.6%25%8
74.2%0.8%25%9
74.6%0.4%25%10
74.8%0.2%25%11
74.9%0.1%25%12
74.9%0%25%13
74.9%0%25%14
Compiler

Compiled 6 to 4 computations (33.3% saved)

sample11.0ms (1.1%)

Algorithm
intervals
Results
4.0ms256×body128valid
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify11.0ms (1.1%)

Algorithm
egg-herbie
Rules
*-lft-identity_binary64_5523 swap-sqr_binary64_5501 distribute-rgt1-in_binary64_5490 distribute-rgt-in_binary64_5484 distribute-lft-in_binary64_5483 associate-*l*_binary64_5475 +-commutative_binary64_5464
1-exp_binary64_5578 *-rgt-identity_binary64_5524 associate-*r*_binary64_5474 *-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 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 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 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 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-lft1-in_binary64_5489 distribute-rgt-out--_binary64_5488 distribute-rgt-out_binary64_5487 distribute-lft-out--_binary64_5486 distribute-lft-out_binary64_5485 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--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
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
187
2127
3187
4147
5227
6217
7197

prune1.0ms (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 3 computations (40% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(+.f64 x (*.f64 x x))

rewrite17.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
add-log-exp_binary64_5573
*-un-lft-identity_binary64_5534
sum-log_binary64_5625 pow1_binary64_5595 add-exp-log_binary64_5572 add-cbrt-cube_binary64_5570 add-cube-cbrt_binary64_5569 add-sqr-sqrt_binary64_5556 flip3-+_binary64_5537 flip-+_binary64_5508 distribute-rgt1-in_binary64_5490 distribute-rgt-out_binary64_5487 +-commutative_binary64_5464
Counts
1 → 13
Calls

1 calls:

4.0ms
(+.f64 x (*.f64 x x))
Compiler

Compiled 146 to 43 computations (70.5% saved)

series56.0ms (5.6%)

Error
0.0b
Counts
1 → 6
Calls

1 calls:

52.0ms
(+.f64 x (*.f64 x x))
Compiler

Compiled 59 to 45 computations (23.7% saved)

simplify86.0ms (8.6%)

Algorithm
egg-herbie
Rules
424×neg-mul-1_binary64_5530
418×unswap-sqr_binary64_5502
348×*-commutative_binary64_5465
347×sub-neg_binary64_5527
289×cancel-sign-sub-inv_binary64_5500
239×+-commutative_binary64_5464
213×distribute-rgt-out_binary64_5487
184×distribute-rgt-in_binary64_5484
175×unsub-neg_binary64_5528
174×distribute-lft-neg-out_binary64_5493
173×distribute-rgt-neg-out_binary64_5494
155×distribute-lft-in_binary64_5483
142×difference-of-squares_binary64_5503
118×distribute-rgt-neg-in_binary64_5492
115×sqr-pow_binary64_5506 distribute-lft-neg-in_binary64_5491
113×exp-prod_binary64_5586
99×distribute-neg-in_binary64_5495 associate-*l*_binary64_5475
96×distribute-lft-out_binary64_5485
94×neg-sub0_binary64_5529 distribute-rgt-out--_binary64_5488
91×cube-prod_binary64_5562
88×associate-*r*_binary64_5474 associate-+l-_binary64_5469
84×associate-+l+_binary64_5467
81×associate-+r+_binary64_5466
71×associate--r+_binary64_5470
62×distribute-rgt1-in_binary64_5490
54×associate-+r-_binary64_5468
48×distribute-neg-out_binary64_5496
46×distribute-lft1-in_binary64_5489
42×sub0-neg_binary64_5521
41×div-sub_binary64_5539
39×pow-sqr_binary64_5507
37×sqr-neg_binary64_5548
35×pow-plus_binary64_5597
34×distribute-lft-out--_binary64_5486
32×times-frac_binary64_5540 associate--l+_binary64_5471
30×exp-sum_binary64_5580
26×log-prod_binary64_5620
25×unpow3_binary64_5600
24×swap-sqr_binary64_5501
21×exp-diff_binary64_5582 *-rgt-identity_binary64_5524 +-lft-identity_binary64_5518
20×*-lft-identity_binary64_5523
17×cube-unmult_binary64_5571
15×cube-mult_binary64_5564
14×+-rgt-identity_binary64_5519 associate-/l*_binary64_5479
13×remove-double-neg_binary64_5522
12×associate--r-_binary64_5473
11×associate-/l/_binary64_5481
cube-neg_binary64_5561
mul0-rgt_binary64_5517 mul0-lft_binary64_5516 difference-of-sqr--1_binary64_5505
associate-*r/_binary64_5476
log-pow_binary64_5623 unpow2_binary64_5599 unpow1/2_binary64_5598 difference-of-sqr-1_binary64_5504 count-2_binary64_5482 associate-/r/_binary64_5480 associate--l-_binary64_5472
associate-/r*_binary64_5478
exp-neg_binary64_5581 --rgt-identity_binary64_5520 distribute-frac-neg_binary64_5497 associate-*l/_binary64_5477
unpow1_binary64_5592 rem-sqrt-square_binary64_5547
prod-exp_binary64_5583 1-exp_binary64_5578 exp-1-e_binary64_5577 /-rgt-identity_binary64_5525 cancel-sign-sub_binary64_5499
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-rec_binary64_5622 log-div_binary64_5621 pow-base-0_binary64_5618 unpow1/3_binary64_5601 exp-to-pow_binary64_5596 pow-base-1_binary64_5594 unpow0_binary64_5593 unpow-1_binary64_5591 exp-lft-cube_binary64_5590 exp-lft-sqr_binary64_5589 exp-cbrt_binary64_5588 exp-sqrt_binary64_5587 div-exp_binary64_5585 rec-exp_binary64_5584 e-exp-1_binary64_5579 exp-0_binary64_5576 rem-log-exp_binary64_5575 rem-exp-log_binary64_5574 cube-div_binary64_5563 rem-3cbrt-rft_binary64_5560 rem-3cbrt-lft_binary64_5559 rem-cbrt-cube_binary64_5558 rem-cube-cbrt_binary64_5557 sqr-abs_binary64_5549 rem-square-sqrt_binary64_5546 mul-1-neg_binary64_5526 div0_binary64_5515 *-inverses_binary64_5514 +-inverses_binary64_5513 lft-mult-inverse_binary64_5512 rgt-mult-inverse_binary64_5511 remove-double-div_binary64_5510 distribute-neg-frac_binary64_5498
Counts
19 → 10
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030189
183165
2224165
3706165
41810165
53450165
64541165
75054165

prune9.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New9110
Fresh000
Picked011
Done000
Total9211
Error
0b
Counts
11 → 2
Compiler

Compiled 78 to 32 computations (59% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 x (+.f64 x 1))

rewrite25.0ms (2.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
add-sqr-sqrt_binary64_5556 *-un-lft-identity_binary64_5534
associate-*r*_binary64_5474
pow1_binary64_5595 add-exp-log_binary64_5572 add-cbrt-cube_binary64_5570 add-cube-cbrt_binary64_5569 associate-*l*_binary64_5475
associate-*r/_binary64_5476
pow-prod-down_binary64_5605 prod-exp_binary64_5583 add-log-exp_binary64_5573 cbrt-unprod_binary64_5567 unswap-sqr_binary64_5502 distribute-rgt-in_binary64_5484 distribute-lft-in_binary64_5483 flip3-+_binary64_5537 flip-+_binary64_5508 distribute-lft-out_binary64_5485 *-commutative_binary64_5465
Counts
1 → 23
Calls

1 calls:

6.0ms
(*.f64 x (+.f64 x 1))
Compiler

Compiled 249 to 166 computations (33.3% saved)

series57.0ms (5.6%)

Error
0b
Counts
1 → 6
Calls

1 calls:

53.0ms
(*.f64 x (+.f64 x 1))
Compiler

Compiled 59 to 45 computations (23.7% saved)

simplify79.0ms (7.9%)

Algorithm
egg-herbie
Rules
635×distribute-rgt-in_binary64_5484
504×distribute-lft-in_binary64_5483
475×unswap-sqr_binary64_5502
311×times-frac_binary64_5540
216×associate-+l+_binary64_5467
192×associate-*r/_binary64_5476 associate-+r+_binary64_5466
168×associate-*l/_binary64_5477
152×associate-*l*_binary64_5475
148×*-commutative_binary64_5465
128×distribute-rgt-out_binary64_5487
126×sqr-pow_binary64_5506
116×associate-*r*_binary64_5474
82×associate-/l*_binary64_5479
79×exp-prod_binary64_5586
76×difference-of-squares_binary64_5503
62×associate-/l/_binary64_5481
55×cancel-sign-sub-inv_binary64_5500
52×cube-prod_binary64_5562
49×distribute-lft-out_binary64_5485
47×associate-/r/_binary64_5480
45×*-rgt-identity_binary64_5524
44×rem-sqrt-square_binary64_5547
43×log-div_binary64_5621 cube-div_binary64_5563 pow-sqr_binary64_5507 distribute-lft1-in_binary64_5489
41×associate-/r*_binary64_5478
39×distribute-rgt1-in_binary64_5490
34×log-prod_binary64_5620
32×*-lft-identity_binary64_5523
29×sub-neg_binary64_5527
23×pow-plus_binary64_5597 distribute-rgt-neg-in_binary64_5492
20×distribute-lft-neg-in_binary64_5491
19×unpow3_binary64_5600 +-commutative_binary64_5464
18×distribute-rgt-out--_binary64_5488
14×exp-sqrt_binary64_5587 unsub-neg_binary64_5528
13×cube-unmult_binary64_5571
10×cube-mult_binary64_5564 swap-sqr_binary64_5501
exp-sum_binary64_5580
unpow1/2_binary64_5598
neg-sub0_binary64_5529 difference-of-sqr--1_binary64_5505
difference-of-sqr-1_binary64_5504 associate-+l-_binary64_5469
log-pow_binary64_5623 mul-1-neg_binary64_5526 count-2_binary64_5482 associate-+r-_binary64_5468
sub0-neg_binary64_5521 +-rgt-identity_binary64_5519
log-rec_binary64_5622 unpow2_binary64_5599 distribute-neg-frac_binary64_5498
exp-lft-sqr_binary64_5589 exp-diff_binary64_5582 neg-mul-1_binary64_5530 distribute-neg-in_binary64_5495 distribute-rgt-neg-out_binary64_5494 distribute-lft-neg-out_binary64_5493
unpow1_binary64_5592 prod-exp_binary64_5583 1-exp_binary64_5578 exp-1-e_binary64_5577
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 pow-base-0_binary64_5618 unpow1/3_binary64_5601 exp-to-pow_binary64_5596 pow-base-1_binary64_5594 unpow0_binary64_5593 unpow-1_binary64_5591 exp-lft-cube_binary64_5590 exp-cbrt_binary64_5588 div-exp_binary64_5585 rec-exp_binary64_5584 exp-neg_binary64_5581 e-exp-1_binary64_5579 exp-0_binary64_5576 rem-log-exp_binary64_5575 rem-exp-log_binary64_5574 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-square-sqrt_binary64_5546 div-sub_binary64_5539 /-rgt-identity_binary64_5525 remove-double-neg_binary64_5522 --rgt-identity_binary64_5520 +-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 cancel-sign-sub_binary64_5499 distribute-frac-neg_binary64_5497 distribute-neg-out_binary64_5496 distribute-lft-out--_binary64_5486 associate--r-_binary64_5473 associate--l-_binary64_5472 associate--l+_binary64_5471 associate--r+_binary64_5470
Counts
29 → 22
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
043266
1114233
2299232
3732230
42459230
53343230
64698230
75431230

prune11.0ms (1.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New22022
Fresh000
Picked011
Done011
Total22224
Error
0b
Counts
24 → 2
Compiler

Compiled 172 to 57 computations (66.9% saved)

regimes41.0ms (4.1%)

Accuracy

Total 0.0b remaining (100%)

Threshold costs 0.0b (100%)

Compiler

Compiled 180 to 120 computations (33.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.3%)

Algorithm
egg-herbie
Rules
+-commutative_binary64_5464
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 1-exp_binary64_5578 exp-1-e_binary64_5577 exp-0_binary64_5576 sqr-abs_binary64_5549 sqr-neg_binary64_5548 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 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 *-commutative_binary64_5465
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
157
257

end0.0ms (0%)

sample446.0ms (44.5%)

Algorithm
intervals
Results
128.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 95 to 64 computations (32.6% saved)

Profiling

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