Details

Time bar (total: 4.2s)

analyze212.0ms (5%)

Algorithm
search
egg-herbie
Rules
12×associate-*l*_binary64_10590 associate-*r*_binary64_10589
*-commutative_binary64_10580
distribute-rgt-in_binary64_10599 distribute-lft-in_binary64_10598
*-rgt-identity_binary64_10639 *-lft-identity_binary64_10638 swap-sqr_binary64_10616
+-commutative_binary64_10579
1-exp_binary64_10693
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_10912 erf-erfc_binary64_10911 erf-odd_binary64_10910 if-if-and-not_binary64_10909 if-if-and_binary64_10908 if-if-or-not_binary64_10907 if-if-or_binary64_10906 if-not_binary64_10905 if-same_binary64_10904 if-false_binary64_10903 if-true_binary64_10902 not-gte_binary64_10901 not-lte_binary64_10900 not-gt_binary64_10899 not-lt_binary64_10898 gte-same_binary64_10897 lte-same_binary64_10896 gt-same_binary64_10895 lt-same_binary64_10894 sinh---cosh_binary64_10841 sinh-+-cosh_binary64_10840 sinh-cosh_binary64_10839 tanh-def-c_binary64_10838 tanh-def-b_binary64_10837 tanh-def-a_binary64_10836 cosh-def_binary64_10835 sinh-def_binary64_10834 tan-neg_binary64_10781 cos-neg_binary64_10780 sin-neg_binary64_10779 tan-0_binary64_10778 cos-0_binary64_10777 sin-0_binary64_10776 hang-m-tan_binary64_10775 hang-p-tan_binary64_10774 hang-m0-tan_binary64_10773 hang-p0-tan_binary64_10772 hang-0m-tan_binary64_10771 hang-0p-tan_binary64_10770 tan-+PI/2_binary64_10769 tan-+PI_binary64_10768 tan-PI_binary64_10767 tan-PI/3_binary64_10766 tan-PI/4_binary64_10765 tan-PI/6_binary64_10764 cos-+PI/2_binary64_10763 cos-+PI_binary64_10762 cos-PI_binary64_10761 cos-PI/2_binary64_10760 cos-PI/3_binary64_10759 cos-PI/4_binary64_10758 cos-PI/6_binary64_10757 sin-+PI/2_binary64_10756 sin-+PI_binary64_10755 sin-PI_binary64_10754 sin-PI/2_binary64_10753 sin-PI/3_binary64_10752 sin-PI/4_binary64_10751 sin-PI/6_binary64_10750 sub-1-sin_binary64_10749 sub-1-cos_binary64_10748 -1-add-sin_binary64_10747 -1-add-cos_binary64_10746 1-sub-sin_binary64_10745 1-sub-cos_binary64_10744 cos-sin-sum_binary64_10743 log-E_binary64_10739 log-pow_binary64_10738 log-rec_binary64_10737 log-div_binary64_10736 log-prod_binary64_10735 pow-base-0_binary64_10733 unpow1/3_binary64_10716 unpow3_binary64_10715 unpow2_binary64_10714 unpow1/2_binary64_10713 pow-plus_binary64_10712 exp-to-pow_binary64_10711 pow-base-1_binary64_10709 unpow0_binary64_10708 unpow1_binary64_10707 unpow-1_binary64_10706 exp-lft-cube_binary64_10705 exp-lft-sqr_binary64_10704 exp-cbrt_binary64_10703 exp-sqrt_binary64_10702 exp-prod_binary64_10701 div-exp_binary64_10700 rec-exp_binary64_10699 prod-exp_binary64_10698 exp-diff_binary64_10697 exp-neg_binary64_10696 exp-sum_binary64_10695 e-exp-1_binary64_10694 exp-1-e_binary64_10692 exp-0_binary64_10691 rem-log-exp_binary64_10690 rem-exp-log_binary64_10689 cube-unmult_binary64_10686 cube-mult_binary64_10679 cube-div_binary64_10678 cube-prod_binary64_10677 cube-neg_binary64_10676 rem-3cbrt-rft_binary64_10675 rem-3cbrt-lft_binary64_10674 rem-cbrt-cube_binary64_10673 rem-cube-cbrt_binary64_10672 sqr-abs_binary64_10664 sqr-neg_binary64_10663 rem-sqrt-square_binary64_10662 rem-square-sqrt_binary64_10661 times-frac_binary64_10655 div-sub_binary64_10654 neg-mul-1_binary64_10645 neg-sub0_binary64_10644 unsub-neg_binary64_10643 sub-neg_binary64_10642 mul-1-neg_binary64_10641 /-rgt-identity_binary64_10640 remove-double-neg_binary64_10637 sub0-neg_binary64_10636 --rgt-identity_binary64_10635 +-rgt-identity_binary64_10634 +-lft-identity_binary64_10633 mul0-rgt_binary64_10632 mul0-lft_binary64_10631 div0_binary64_10630 *-inverses_binary64_10629 +-inverses_binary64_10628 lft-mult-inverse_binary64_10627 rgt-mult-inverse_binary64_10626 remove-double-div_binary64_10625 pow-sqr_binary64_10622 sqr-pow_binary64_10621 difference-of-sqr--1_binary64_10620 difference-of-sqr-1_binary64_10619 difference-of-squares_binary64_10618 unswap-sqr_binary64_10617 cancel-sign-sub-inv_binary64_10615 cancel-sign-sub_binary64_10614 distribute-neg-frac_binary64_10613 distribute-frac-neg_binary64_10612 distribute-neg-out_binary64_10611 distribute-neg-in_binary64_10610 distribute-rgt-neg-out_binary64_10609 distribute-lft-neg-out_binary64_10608 distribute-rgt-neg-in_binary64_10607 distribute-lft-neg-in_binary64_10606 distribute-rgt1-in_binary64_10605 distribute-lft1-in_binary64_10604 distribute-rgt-out--_binary64_10603 distribute-rgt-out_binary64_10602 distribute-lft-out--_binary64_10601 distribute-lft-out_binary64_10600 count-2_binary64_10597 associate-/l/_binary64_10596 associate-/r/_binary64_10595 associate-/l*_binary64_10594 associate-/r*_binary64_10593 associate-*l/_binary64_10592 associate-*r/_binary64_10591 associate--r-_binary64_10588 associate--l-_binary64_10587 associate--l+_binary64_10586 associate--r+_binary64_10585 associate-+l-_binary64_10584 associate-+r-_binary64_10583 associate-+l+_binary64_10582 associate-+r+_binary64_10581
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
12820
23420
35720
45320
55120
022
122
Search
TrueOtherFalseIter
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
37.5%62.4%0.1%6
43.7%43.7%12.6%7
53.1%34.3%12.6%8
57.8%23.4%18.8%9
63.2%18%18.8%10
66%12.1%22%11
68.9%9.2%22%12
70.3%6.1%23.5%13
71.9%4.6%23.5%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample14.0ms (0.3%)

Algorithm
intervals
Results
5.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify9.0ms (0.2%)

Algorithm
egg-herbie
Rules
associate-*l*_binary64_10590 associate-*r*_binary64_10589
*-commutative_binary64_10580
*-rgt-identity_binary64_10639 *-lft-identity_binary64_10638
distribute-rgt-in_binary64_10599 distribute-lft-in_binary64_10598
1-exp_binary64_10693 +-commutative_binary64_10579
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_10912 erf-erfc_binary64_10911 erf-odd_binary64_10910 if-if-and-not_binary64_10909 if-if-and_binary64_10908 if-if-or-not_binary64_10907 if-if-or_binary64_10906 if-not_binary64_10905 if-same_binary64_10904 if-false_binary64_10903 if-true_binary64_10902 not-gte_binary64_10901 not-lte_binary64_10900 not-gt_binary64_10899 not-lt_binary64_10898 gte-same_binary64_10897 lte-same_binary64_10896 gt-same_binary64_10895 lt-same_binary64_10894 sinh---cosh_binary64_10841 sinh-+-cosh_binary64_10840 sinh-cosh_binary64_10839 tanh-def-c_binary64_10838 tanh-def-b_binary64_10837 tanh-def-a_binary64_10836 cosh-def_binary64_10835 sinh-def_binary64_10834 tan-neg_binary64_10781 cos-neg_binary64_10780 sin-neg_binary64_10779 tan-0_binary64_10778 cos-0_binary64_10777 sin-0_binary64_10776 hang-m-tan_binary64_10775 hang-p-tan_binary64_10774 hang-m0-tan_binary64_10773 hang-p0-tan_binary64_10772 hang-0m-tan_binary64_10771 hang-0p-tan_binary64_10770 tan-+PI/2_binary64_10769 tan-+PI_binary64_10768 tan-PI_binary64_10767 tan-PI/3_binary64_10766 tan-PI/4_binary64_10765 tan-PI/6_binary64_10764 cos-+PI/2_binary64_10763 cos-+PI_binary64_10762 cos-PI_binary64_10761 cos-PI/2_binary64_10760 cos-PI/3_binary64_10759 cos-PI/4_binary64_10758 cos-PI/6_binary64_10757 sin-+PI/2_binary64_10756 sin-+PI_binary64_10755 sin-PI_binary64_10754 sin-PI/2_binary64_10753 sin-PI/3_binary64_10752 sin-PI/4_binary64_10751 sin-PI/6_binary64_10750 sub-1-sin_binary64_10749 sub-1-cos_binary64_10748 -1-add-sin_binary64_10747 -1-add-cos_binary64_10746 1-sub-sin_binary64_10745 1-sub-cos_binary64_10744 cos-sin-sum_binary64_10743 log-E_binary64_10739 log-pow_binary64_10738 log-rec_binary64_10737 log-div_binary64_10736 log-prod_binary64_10735 pow-base-0_binary64_10733 unpow1/3_binary64_10716 unpow3_binary64_10715 unpow2_binary64_10714 unpow1/2_binary64_10713 pow-plus_binary64_10712 exp-to-pow_binary64_10711 pow-base-1_binary64_10709 unpow0_binary64_10708 unpow1_binary64_10707 unpow-1_binary64_10706 exp-lft-cube_binary64_10705 exp-lft-sqr_binary64_10704 exp-cbrt_binary64_10703 exp-sqrt_binary64_10702 exp-prod_binary64_10701 div-exp_binary64_10700 rec-exp_binary64_10699 prod-exp_binary64_10698 exp-diff_binary64_10697 exp-neg_binary64_10696 exp-sum_binary64_10695 e-exp-1_binary64_10694 exp-1-e_binary64_10692 exp-0_binary64_10691 rem-log-exp_binary64_10690 rem-exp-log_binary64_10689 cube-unmult_binary64_10686 cube-mult_binary64_10679 cube-div_binary64_10678 cube-prod_binary64_10677 cube-neg_binary64_10676 rem-3cbrt-rft_binary64_10675 rem-3cbrt-lft_binary64_10674 rem-cbrt-cube_binary64_10673 rem-cube-cbrt_binary64_10672 sqr-abs_binary64_10664 sqr-neg_binary64_10663 rem-sqrt-square_binary64_10662 rem-square-sqrt_binary64_10661 times-frac_binary64_10655 div-sub_binary64_10654 neg-mul-1_binary64_10645 neg-sub0_binary64_10644 unsub-neg_binary64_10643 sub-neg_binary64_10642 mul-1-neg_binary64_10641 /-rgt-identity_binary64_10640 remove-double-neg_binary64_10637 sub0-neg_binary64_10636 --rgt-identity_binary64_10635 +-rgt-identity_binary64_10634 +-lft-identity_binary64_10633 mul0-rgt_binary64_10632 mul0-lft_binary64_10631 div0_binary64_10630 *-inverses_binary64_10629 +-inverses_binary64_10628 lft-mult-inverse_binary64_10627 rgt-mult-inverse_binary64_10626 remove-double-div_binary64_10625 pow-sqr_binary64_10622 sqr-pow_binary64_10621 difference-of-sqr--1_binary64_10620 difference-of-sqr-1_binary64_10619 difference-of-squares_binary64_10618 unswap-sqr_binary64_10617 swap-sqr_binary64_10616 cancel-sign-sub-inv_binary64_10615 cancel-sign-sub_binary64_10614 distribute-neg-frac_binary64_10613 distribute-frac-neg_binary64_10612 distribute-neg-out_binary64_10611 distribute-neg-in_binary64_10610 distribute-rgt-neg-out_binary64_10609 distribute-lft-neg-out_binary64_10608 distribute-rgt-neg-in_binary64_10607 distribute-lft-neg-in_binary64_10606 distribute-rgt1-in_binary64_10605 distribute-lft1-in_binary64_10604 distribute-rgt-out--_binary64_10603 distribute-rgt-out_binary64_10602 distribute-lft-out--_binary64_10601 distribute-lft-out_binary64_10600 count-2_binary64_10597 associate-/l/_binary64_10596 associate-/r/_binary64_10595 associate-/l*_binary64_10594 associate-/r*_binary64_10593 associate-*l/_binary64_10592 associate-*r/_binary64_10591 associate--r-_binary64_10588 associate--l-_binary64_10587 associate--l+_binary64_10586 associate--r+_binary64_10585 associate-+l-_binary64_10584 associate-+r-_binary64_10583 associate-+l+_binary64_10582 associate-+r+_binary64_10581
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11710
22110
34010
43410
53210

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
6.3b
Counts
1 → 1
Compiler

Compiled 7 to 6 computations (14.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

5.9b
(*.f64 x (+.f64 1 (*.f64 y y)))

rewrite30.0ms (0.7%)

Algorithm
rewrite-expression-head
Error
6.3b
Rules
add-sqr-sqrt_binary64_10671
pow1_binary64_10710 add-exp-log_binary64_10687 add-cbrt-cube_binary64_10685 add-cube-cbrt_binary64_10684 *-un-lft-identity_binary64_10649 associate-*l*_binary64_10590 associate-*r*_binary64_10589
associate-*r/_binary64_10591
pow-prod-down_binary64_10720 prod-exp_binary64_10698 add-log-exp_binary64_10688 cbrt-unprod_binary64_10682 unswap-sqr_binary64_10617 distribute-rgt-in_binary64_10599 distribute-lft-in_binary64_10598 flip3-+_binary64_10652 flip-+_binary64_10623 *-commutative_binary64_10580
Counts
1 → 22
Calls

1 calls:

10.0ms
(*.f64 x (+.f64 1 (*.f64 y y)))
Compiler

Compiled 318 to 166 computations (47.8% saved)

series125.0ms (3%)

Error
6.2b
Counts
1 → 9
Calls

1 calls:

119.0ms
(*.f64 x (+.f64 1 (*.f64 y y)))
Compiler

Compiled 148 to 125 computations (15.5% saved)

simplify80.0ms (1.9%)

Algorithm
egg-herbie
Rules
696×distribute-rgt-in_binary64_10599
609×distribute-lft-in_binary64_10598
413×unswap-sqr_binary64_10617
283×associate-*l*_binary64_10590
239×*-commutative_binary64_10580
216×associate-*r*_binary64_10589
195×associate-+l+_binary64_10582
183×associate-*r/_binary64_10591
163×distribute-rgt-neg-in_binary64_10607
162×sqr-pow_binary64_10621
160×associate-+r+_binary64_10581
159×associate-*l/_binary64_10592
154×distribute-lft-neg-in_binary64_10606
115×associate-/l*_binary64_10594
112×distribute-rgt-out_binary64_10602
108×cancel-sign-sub-inv_binary64_10615
92×exp-prod_binary64_10701
65×associate-/l/_binary64_10596
57×pow-sqr_binary64_10622
50×distribute-rgt1-in_binary64_10605
49×associate-/r*_binary64_10593
48×*-rgt-identity_binary64_10639
45×associate-/r/_binary64_10595
43×cube-prod_binary64_10677 rem-sqrt-square_binary64_10662
41×*-lft-identity_binary64_10638
40×distribute-lft-out_binary64_10600
37×neg-mul-1_binary64_10645 neg-sub0_binary64_10644
36×distribute-lft1-in_binary64_10604
33×log-div_binary64_10736 cube-div_binary64_10678
29×unpow3_binary64_10715
28×sub-neg_binary64_10642
26×difference-of-sqr--1_binary64_10620
22×pow-plus_binary64_10712
19×log-prod_binary64_10735
18×cube-unmult_binary64_10686
16×cube-mult_binary64_10679 +-commutative_binary64_10579
14×distribute-rgt-neg-out_binary64_10609 distribute-lft-neg-out_binary64_10608
12×exp-sqrt_binary64_10702 swap-sqr_binary64_10616
11×unsub-neg_binary64_10643
10×exp-sum_binary64_10695
unpow1/2_binary64_10713 difference-of-sqr-1_binary64_10619
unpow2_binary64_10714 sub0-neg_binary64_10636 mul0-rgt_binary64_10632 mul0-lft_binary64_10631 associate-+l-_binary64_10584
distribute-neg-frac_binary64_10613 distribute-neg-in_binary64_10610
log-rec_binary64_10737 exp-lft-sqr_binary64_10704 --rgt-identity_binary64_10635 distribute-rgt-out--_binary64_10603 count-2_binary64_10597
unpow1_binary64_10707 prod-exp_binary64_10698 exp-diff_binary64_10697 1-exp_binary64_10693 exp-1-e_binary64_10692 +-rgt-identity_binary64_10634 associate--r+_binary64_10585 associate-+r-_binary64_10583
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_10912 erf-erfc_binary64_10911 erf-odd_binary64_10910 if-if-and-not_binary64_10909 if-if-and_binary64_10908 if-if-or-not_binary64_10907 if-if-or_binary64_10906 if-not_binary64_10905 if-same_binary64_10904 if-false_binary64_10903 if-true_binary64_10902 not-gte_binary64_10901 not-lte_binary64_10900 not-gt_binary64_10899 not-lt_binary64_10898 gte-same_binary64_10897 lte-same_binary64_10896 gt-same_binary64_10895 lt-same_binary64_10894 sinh---cosh_binary64_10841 sinh-+-cosh_binary64_10840 sinh-cosh_binary64_10839 tanh-def-c_binary64_10838 tanh-def-b_binary64_10837 tanh-def-a_binary64_10836 cosh-def_binary64_10835 sinh-def_binary64_10834 tan-neg_binary64_10781 cos-neg_binary64_10780 sin-neg_binary64_10779 tan-0_binary64_10778 cos-0_binary64_10777 sin-0_binary64_10776 hang-m-tan_binary64_10775 hang-p-tan_binary64_10774 hang-m0-tan_binary64_10773 hang-p0-tan_binary64_10772 hang-0m-tan_binary64_10771 hang-0p-tan_binary64_10770 tan-+PI/2_binary64_10769 tan-+PI_binary64_10768 tan-PI_binary64_10767 tan-PI/3_binary64_10766 tan-PI/4_binary64_10765 tan-PI/6_binary64_10764 cos-+PI/2_binary64_10763 cos-+PI_binary64_10762 cos-PI_binary64_10761 cos-PI/2_binary64_10760 cos-PI/3_binary64_10759 cos-PI/4_binary64_10758 cos-PI/6_binary64_10757 sin-+PI/2_binary64_10756 sin-+PI_binary64_10755 sin-PI_binary64_10754 sin-PI/2_binary64_10753 sin-PI/3_binary64_10752 sin-PI/4_binary64_10751 sin-PI/6_binary64_10750 sub-1-sin_binary64_10749 sub-1-cos_binary64_10748 -1-add-sin_binary64_10747 -1-add-cos_binary64_10746 1-sub-sin_binary64_10745 1-sub-cos_binary64_10744 cos-sin-sum_binary64_10743 log-E_binary64_10739 log-pow_binary64_10738 pow-base-0_binary64_10733 unpow1/3_binary64_10716 exp-to-pow_binary64_10711 pow-base-1_binary64_10709 unpow0_binary64_10708 unpow-1_binary64_10706 exp-lft-cube_binary64_10705 exp-cbrt_binary64_10703 div-exp_binary64_10700 rec-exp_binary64_10699 exp-neg_binary64_10696 e-exp-1_binary64_10694 exp-0_binary64_10691 rem-log-exp_binary64_10690 rem-exp-log_binary64_10689 cube-neg_binary64_10676 rem-3cbrt-rft_binary64_10675 rem-3cbrt-lft_binary64_10674 rem-cbrt-cube_binary64_10673 rem-cube-cbrt_binary64_10672 sqr-abs_binary64_10664 sqr-neg_binary64_10663 rem-square-sqrt_binary64_10661 times-frac_binary64_10655 div-sub_binary64_10654 mul-1-neg_binary64_10641 /-rgt-identity_binary64_10640 remove-double-neg_binary64_10637 +-lft-identity_binary64_10633 div0_binary64_10630 *-inverses_binary64_10629 +-inverses_binary64_10628 lft-mult-inverse_binary64_10627 rgt-mult-inverse_binary64_10626 remove-double-div_binary64_10625 difference-of-squares_binary64_10618 cancel-sign-sub_binary64_10614 distribute-frac-neg_binary64_10612 distribute-neg-out_binary64_10611 distribute-lft-out--_binary64_10601 associate--r-_binary64_10588 associate--l-_binary64_10587 associate--l+_binary64_10586
Counts
31 → 18
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053394
1133343
2403343
3994343
42591343
53426343
64830343
74921343

prune17.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New14418
Fresh000
Picked011
Done000
Total14519
Error
6.3b
Counts
19 → 5
Compiler

Compiled 228 to 121 computations (46.9% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
2.3b
(*.f64 (+.f64 1 (*.f64 y y)) (cbrt.f64 x))
3.8b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (+.f64 1 (*.f64 y y)) (cbrt.f64 x)))

rewrite101.0ms (2.4%)

Algorithm
rewrite-expression-head
Error
6.3b
Rules
18×pow1_binary64_10710 add-exp-log_binary64_10687
13×add-sqr-sqrt_binary64_10671
11×add-cbrt-cube_binary64_10685
10×cbrt-prod_binary64_10680
pow-prod-down_binary64_10720 prod-exp_binary64_10698 add-cube-cbrt_binary64_10684 cbrt-unprod_binary64_10682 *-un-lft-identity_binary64_10649
associate-*r*_binary64_10589
add-log-exp_binary64_10688 associate-*l/_binary64_10592 associate-*l*_binary64_10590
flip3-+_binary64_10652 associate-*r/_binary64_10591 flip-+_binary64_10623 *-commutative_binary64_10580 unswap-sqr_binary64_10617 pow1/3_binary64_10731
Counts
4 → 70
Calls

4 calls:

12.0ms
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (+.f64 1 (*.f64 y y)) (cbrt.f64 x)))
9.0ms
(*.f64 (+.f64 1 (*.f64 y y)) (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
Compiler

Compiled 1494 to 540 computations (63.9% saved)

series706.0ms (16.8%)

Error
6.1b
Counts
4 → 24
Calls

4 calls:

355.0ms
(*.f64 (+.f64 1 (*.f64 y y)) (cbrt.f64 x))
134.0ms
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (+.f64 1 (*.f64 y y)) (cbrt.f64 x)))
102.0ms
(cbrt.f64 x)
98.0ms
(cbrt.f64 x)
Compiler

Compiled 842 to 608 computations (27.8% saved)

simplify96.0ms (2.3%)

Algorithm
egg-herbie
Rules
853×unswap-sqr_binary64_10617
512×distribute-rgt-in_binary64_10599
506×distribute-lft-in_binary64_10598
330×exp-prod_binary64_10701
295×*-commutative_binary64_10580
181×associate-*l*_binary64_10590
174×log-prod_binary64_10735
164×associate-*r*_binary64_10589
110×sqr-pow_binary64_10621
106×cube-prod_binary64_10677
76×unsub-neg_binary64_10643
71×exp-sum_binary64_10695
51×neg-sub0_binary64_10644
50×swap-sqr_binary64_10616
46×neg-mul-1_binary64_10645 distribute-neg-in_binary64_10610
44×associate-+l+_binary64_10582
41×*-rgt-identity_binary64_10639 *-lft-identity_binary64_10638
39×distribute-rgt-neg-in_binary64_10607
34×associate-+r+_binary64_10581
32×distribute-lft-neg-in_binary64_10606
27×unpow3_binary64_10715
26×cancel-sign-sub-inv_binary64_10615
20×distribute-lft-neg-out_binary64_10608
18×pow-sqr_binary64_10622
17×pow-plus_binary64_10712 distribute-rgt-neg-out_binary64_10609
16×sub-neg_binary64_10642
14×+-commutative_binary64_10579
12×cube-unmult_binary64_10686
11×log-pow_binary64_10738
cube-mult_binary64_10679
unpow1/2_binary64_10713 exp-diff_binary64_10697 associate-/l*_binary64_10594
cube-neg_binary64_10676 sqr-neg_binary64_10663 remove-double-neg_binary64_10637
rem-sqrt-square_binary64_10662
distribute-rgt1-in_binary64_10605 distribute-rgt-out_binary64_10602 distribute-lft-out_binary64_10600
mul-1-neg_binary64_10641 difference-of-sqr-1_binary64_10619
unpow1/3_binary64_10716 unpow2_binary64_10714 div-sub_binary64_10654 distribute-frac-neg_binary64_10612 count-2_binary64_10597 associate-+l-_binary64_10584
unpow1_binary64_10707 exp-neg_binary64_10696 1-exp_binary64_10693 exp-1-e_binary64_10692 rem-3cbrt-lft_binary64_10674 rem-cube-cbrt_binary64_10672 sub0-neg_binary64_10636
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_10912 erf-erfc_binary64_10911 erf-odd_binary64_10910 if-if-and-not_binary64_10909 if-if-and_binary64_10908 if-if-or-not_binary64_10907 if-if-or_binary64_10906 if-not_binary64_10905 if-same_binary64_10904 if-false_binary64_10903 if-true_binary64_10902 not-gte_binary64_10901 not-lte_binary64_10900 not-gt_binary64_10899 not-lt_binary64_10898 gte-same_binary64_10897 lte-same_binary64_10896 gt-same_binary64_10895 lt-same_binary64_10894 sinh---cosh_binary64_10841 sinh-+-cosh_binary64_10840 sinh-cosh_binary64_10839 tanh-def-c_binary64_10838 tanh-def-b_binary64_10837 tanh-def-a_binary64_10836 cosh-def_binary64_10835 sinh-def_binary64_10834 tan-neg_binary64_10781 cos-neg_binary64_10780 sin-neg_binary64_10779 tan-0_binary64_10778 cos-0_binary64_10777 sin-0_binary64_10776 hang-m-tan_binary64_10775 hang-p-tan_binary64_10774 hang-m0-tan_binary64_10773 hang-p0-tan_binary64_10772 hang-0m-tan_binary64_10771 hang-0p-tan_binary64_10770 tan-+PI/2_binary64_10769 tan-+PI_binary64_10768 tan-PI_binary64_10767 tan-PI/3_binary64_10766 tan-PI/4_binary64_10765 tan-PI/6_binary64_10764 cos-+PI/2_binary64_10763 cos-+PI_binary64_10762 cos-PI_binary64_10761 cos-PI/2_binary64_10760 cos-PI/3_binary64_10759 cos-PI/4_binary64_10758 cos-PI/6_binary64_10757 sin-+PI/2_binary64_10756 sin-+PI_binary64_10755 sin-PI_binary64_10754 sin-PI/2_binary64_10753 sin-PI/3_binary64_10752 sin-PI/4_binary64_10751 sin-PI/6_binary64_10750 sub-1-sin_binary64_10749 sub-1-cos_binary64_10748 -1-add-sin_binary64_10747 -1-add-cos_binary64_10746 1-sub-sin_binary64_10745 1-sub-cos_binary64_10744 cos-sin-sum_binary64_10743 log-E_binary64_10739 log-rec_binary64_10737 log-div_binary64_10736 pow-base-0_binary64_10733 exp-to-pow_binary64_10711 pow-base-1_binary64_10709 unpow0_binary64_10708 unpow-1_binary64_10706 exp-lft-cube_binary64_10705 exp-lft-sqr_binary64_10704 exp-cbrt_binary64_10703 exp-sqrt_binary64_10702 div-exp_binary64_10700 rec-exp_binary64_10699 prod-exp_binary64_10698 e-exp-1_binary64_10694 exp-0_binary64_10691 rem-log-exp_binary64_10690 rem-exp-log_binary64_10689 cube-div_binary64_10678 rem-3cbrt-rft_binary64_10675 rem-cbrt-cube_binary64_10673 sqr-abs_binary64_10664 rem-square-sqrt_binary64_10661 times-frac_binary64_10655 /-rgt-identity_binary64_10640 --rgt-identity_binary64_10635 +-rgt-identity_binary64_10634 +-lft-identity_binary64_10633 mul0-rgt_binary64_10632 mul0-lft_binary64_10631 div0_binary64_10630 *-inverses_binary64_10629 +-inverses_binary64_10628 lft-mult-inverse_binary64_10627 rgt-mult-inverse_binary64_10626 remove-double-div_binary64_10625 difference-of-sqr--1_binary64_10620 difference-of-squares_binary64_10618 cancel-sign-sub_binary64_10614 distribute-neg-frac_binary64_10613 distribute-neg-out_binary64_10611 distribute-lft1-in_binary64_10604 distribute-rgt-out--_binary64_10603 distribute-lft-out--_binary64_10601 associate-/l/_binary64_10596 associate-/r/_binary64_10595 associate-/r*_binary64_10593 associate-*l/_binary64_10592 associate-*r/_binary64_10591 associate--r-_binary64_10588 associate--l-_binary64_10587 associate--l+_binary64_10586 associate--r+_binary64_10585 associate-+r-_binary64_10583
Counts
94 → 59
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01001472
1251985
2894985
32647985
44731985
54922985

prune51.0ms (1.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New57259
Fresh123
Picked011
Done011
Total58664
Error
6.1b
Counts
64 → 6
Compiler

Compiled 845 to 370 computations (56.2% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 1 (*.f64 y y))
1.9b
(*.f64 x (-.f64 1 (pow.f64 y 4)))
9.8b
(/.f64 (*.f64 x (-.f64 1 (pow.f64 y 4))) (-.f64 1 (*.f64 y y)))

rewrite141.0ms (3.3%)

Algorithm
rewrite-expression-head
Error
6.1b
Rules
23×add-sqr-sqrt_binary64_10671
19×*-un-lft-identity_binary64_10649
15×cancel-sign-sub-inv_binary64_10615
12×difference-of-squares_binary64_10618
11×add-cube-cbrt_binary64_10684
10×add-exp-log_binary64_10687 add-cbrt-cube_binary64_10685 associate-*r*_binary64_10589
distribute-rgt-in_binary64_10599 unpow-prod-down_binary64_10728 distribute-lft-in_binary64_10598
pow1_binary64_10710 add-log-exp_binary64_10688 times-frac_binary64_10655 associate-/r*_binary64_10593
flip3--_binary64_10653 associate-*r/_binary64_10591 flip--_binary64_10624 sqr-pow_binary64_10621
sub-neg_binary64_10642 associate-*l*_binary64_10590
prod-exp_binary64_10698 div-exp_binary64_10700 cbrt-undiv_binary64_10683 cbrt-unprod_binary64_10682 associate-/l/_binary64_10596 associate-/r/_binary64_10595
frac-2neg_binary64_10660 clear-num_binary64_10648 div-inv_binary64_10646 associate-/l*_binary64_10594 pow-prod-down_binary64_10720 unswap-sqr_binary64_10617 distribute-lft-out--_binary64_10601 *-commutative_binary64_10580 diff-log_binary64_10741
Counts
3 → 86
Calls

3 calls:

13.0ms
(/.f64 (*.f64 x (-.f64 1 (pow.f64 y 4))) (-.f64 1 (*.f64 y y)))
11.0ms
(*.f64 x (-.f64 1 (pow.f64 y 4)))
3.0ms
(-.f64 1 (*.f64 y y))
Compiler

Compiled 1852 to 1232 computations (33.5% saved)

series541.0ms (12.9%)

Error
6.1b
Counts
3 → 24
Calls

3 calls:

300.0ms
(/.f64 (*.f64 x (-.f64 1 (pow.f64 y 4))) (-.f64 1 (*.f64 y y)))
177.0ms
(*.f64 x (-.f64 1 (pow.f64 y 4)))
46.0ms
(-.f64 1 (*.f64 y y))
Compiler

Compiled 689 to 551 computations (20% saved)

simplify90.0ms (2.1%)

Algorithm
egg-herbie
Rules
819×times-frac_binary64_10655
318×associate-*l/_binary64_10592
260×associate-/r*_binary64_10593
254×distribute-rgt-in_binary64_10599
249×associate-/l/_binary64_10596
230×distribute-lft-in_binary64_10598
179×associate-/r/_binary64_10595
156×exp-prod_binary64_10701
139×associate-*l*_binary64_10590
124×associate-*r*_binary64_10589
117×cube-prod_binary64_10677
99×associate-/l*_binary64_10594
96×distribute-rgt-neg-in_binary64_10607
89×cancel-sign-sub-inv_binary64_10615
80×*-commutative_binary64_10580
72×log-prod_binary64_10735
71×distribute-lft-neg-in_binary64_10606
67×log-div_binary64_10736
66×div-sub_binary64_10654
59×cube-div_binary64_10678
58×distribute-lft-neg-out_binary64_10608
56×distribute-rgt-neg-out_binary64_10609
44×neg-sub0_binary64_10644
43×neg-mul-1_binary64_10645 sub-neg_binary64_10642
39×sqr-pow_binary64_10621
38×exp-sum_binary64_10695
37×unswap-sqr_binary64_10617
36×distribute-neg-frac_binary64_10613
34×*-rgt-identity_binary64_10639 *-lft-identity_binary64_10638
23×associate-*r/_binary64_10591 +-commutative_binary64_10579
19×exp-diff_binary64_10697
18×unpow3_binary64_10715
17×distribute-rgt-out_binary64_10602
15×/-rgt-identity_binary64_10640
14×pow-plus_binary64_10712 cube-unmult_binary64_10686 swap-sqr_binary64_10616
12×exp-neg_binary64_10696
11×cube-mult_binary64_10679
10×log-rec_binary64_10737 distribute-frac-neg_binary64_10612
distribute-neg-in_binary64_10610
pow-sqr_binary64_10622 distribute-rgt1-in_binary64_10605
unpow1/2_binary64_10713
unsub-neg_binary64_10643 associate-+l+_binary64_10582
unpow2_binary64_10714 unpow1_binary64_10707 distribute-lft-out_binary64_10600 associate-+r+_binary64_10581
rem-sqrt-square_binary64_10662
rem-square-sqrt_binary64_10661 mul-1-neg_binary64_10641 remove-double-neg_binary64_10637 associate--l+_binary64_10586
div-exp_binary64_10700 1-exp_binary64_10693 exp-1-e_binary64_10692 rem-3cbrt-lft_binary64_10674 *-inverses_binary64_10629 rgt-mult-inverse_binary64_10626 distribute-lft1-in_binary64_10604 distribute-rgt-out--_binary64_10603 associate--r-_binary64_10588 associate--r+_binary64_10585
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_10912 erf-erfc_binary64_10911 erf-odd_binary64_10910 if-if-and-not_binary64_10909 if-if-and_binary64_10908 if-if-or-not_binary64_10907 if-if-or_binary64_10906 if-not_binary64_10905 if-same_binary64_10904 if-false_binary64_10903 if-true_binary64_10902 not-gte_binary64_10901 not-lte_binary64_10900 not-gt_binary64_10899 not-lt_binary64_10898 gte-same_binary64_10897 lte-same_binary64_10896 gt-same_binary64_10895 lt-same_binary64_10894 sinh---cosh_binary64_10841 sinh-+-cosh_binary64_10840 sinh-cosh_binary64_10839 tanh-def-c_binary64_10838 tanh-def-b_binary64_10837 tanh-def-a_binary64_10836 cosh-def_binary64_10835 sinh-def_binary64_10834 tan-neg_binary64_10781 cos-neg_binary64_10780 sin-neg_binary64_10779 tan-0_binary64_10778 cos-0_binary64_10777 sin-0_binary64_10776 hang-m-tan_binary64_10775 hang-p-tan_binary64_10774 hang-m0-tan_binary64_10773 hang-p0-tan_binary64_10772 hang-0m-tan_binary64_10771 hang-0p-tan_binary64_10770 tan-+PI/2_binary64_10769 tan-+PI_binary64_10768 tan-PI_binary64_10767 tan-PI/3_binary64_10766 tan-PI/4_binary64_10765 tan-PI/6_binary64_10764 cos-+PI/2_binary64_10763 cos-+PI_binary64_10762 cos-PI_binary64_10761 cos-PI/2_binary64_10760 cos-PI/3_binary64_10759 cos-PI/4_binary64_10758 cos-PI/6_binary64_10757 sin-+PI/2_binary64_10756 sin-+PI_binary64_10755 sin-PI_binary64_10754 sin-PI/2_binary64_10753 sin-PI/3_binary64_10752 sin-PI/4_binary64_10751 sin-PI/6_binary64_10750 sub-1-sin_binary64_10749 sub-1-cos_binary64_10748 -1-add-sin_binary64_10747 -1-add-cos_binary64_10746 1-sub-sin_binary64_10745 1-sub-cos_binary64_10744 cos-sin-sum_binary64_10743 log-E_binary64_10739 log-pow_binary64_10738 pow-base-0_binary64_10733 unpow1/3_binary64_10716 exp-to-pow_binary64_10711 pow-base-1_binary64_10709 unpow0_binary64_10708 unpow-1_binary64_10706 exp-lft-cube_binary64_10705 exp-lft-sqr_binary64_10704 exp-cbrt_binary64_10703 exp-sqrt_binary64_10702 rec-exp_binary64_10699 prod-exp_binary64_10698 e-exp-1_binary64_10694 exp-0_binary64_10691 rem-log-exp_binary64_10690 rem-exp-log_binary64_10689 cube-neg_binary64_10676 rem-3cbrt-rft_binary64_10675 rem-cbrt-cube_binary64_10673 rem-cube-cbrt_binary64_10672 sqr-abs_binary64_10664 sqr-neg_binary64_10663 sub0-neg_binary64_10636 --rgt-identity_binary64_10635 +-rgt-identity_binary64_10634 +-lft-identity_binary64_10633 mul0-rgt_binary64_10632 mul0-lft_binary64_10631 div0_binary64_10630 +-inverses_binary64_10628 lft-mult-inverse_binary64_10627 remove-double-div_binary64_10625 difference-of-sqr--1_binary64_10620 difference-of-sqr-1_binary64_10619 difference-of-squares_binary64_10618 cancel-sign-sub_binary64_10614 distribute-neg-out_binary64_10611 distribute-lft-out--_binary64_10601 count-2_binary64_10597 associate--l-_binary64_10587 associate-+l-_binary64_10584 associate-+r-_binary64_10583
Counts
110 → 70
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01621655
13941469
213811448
344841448
450401448

prune65.0ms (1.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New70070
Fresh033
Picked011
Done022
Total70676
Error
6.1b
Counts
76 → 6
Compiler

Compiled 1107 to 674 computations (39.1% saved)

localize4.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite62.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
6.1b
Rules
25×cbrt-prod_binary64_10680
23×add-sqr-sqrt_binary64_10671
15×add-cube-cbrt_binary64_10684 *-un-lft-identity_binary64_10649
11×pow1_binary64_10710
pow1/3_binary64_10731
add-exp-log_binary64_10687 swap-sqr_binary64_10616 associate-*l*_binary64_10590 associate-*r*_binary64_10589
add-log-exp_binary64_10688 add-cbrt-cube_binary64_10685 unswap-sqr_binary64_10617
pow-prod-down_binary64_10720 pow-prod-up_binary64_10719 pow-sqr_binary64_10622
pow2_binary64_10730 pow-plus_binary64_10712 prod-exp_binary64_10698 cbrt-unprod_binary64_10682 *-commutative_binary64_10580
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
Compiler

Compiled 940 to 230 computations (75.5% saved)

series461.0ms (11%)

Error
6.1b
Counts
4 → 12
Calls

4 calls:

139.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
111.0ms
(cbrt.f64 x)
101.0ms
(cbrt.f64 x)
99.0ms
(cbrt.f64 x)
Compiler

Compiled 375 to 286 computations (23.7% saved)

simplify102.0ms (2.4%)

Algorithm
egg-herbie
Rules
586×log-prod_binary64_10735
416×sqr-pow_binary64_10621
335×associate-*l*_binary64_10590
309×*-commutative_binary64_10580
277×distribute-rgt-neg-in_binary64_10607
257×distribute-lft-neg-in_binary64_10606
227×associate-*r*_binary64_10589
188×exp-prod_binary64_10701
161×log-pow_binary64_10738
149×cube-prod_binary64_10677
128×pow-sqr_binary64_10622
124×unswap-sqr_binary64_10617
111×swap-sqr_binary64_10616
104×associate-/l*_binary64_10594
81×cancel-sign-sub-inv_binary64_10615
75×associate-+l+_binary64_10582
69×associate-+r+_binary64_10581
61×distribute-rgt-in_binary64_10599
60×distribute-lft-out_binary64_10600
57×distribute-lft-in_binary64_10598
54×neg-sub0_binary64_10644
53×neg-mul-1_binary64_10645
48×distribute-rgt-out_binary64_10602
45×+-commutative_binary64_10579
43×pow-plus_binary64_10712 rem-sqrt-square_binary64_10662
41×times-frac_binary64_10655 sub-neg_binary64_10642
37×associate-/r/_binary64_10595
35×associate-*r/_binary64_10591
32×unpow3_binary64_10715
31×*-rgt-identity_binary64_10639 *-lft-identity_binary64_10638 associate-/l/_binary64_10596
29×count-2_binary64_10597
27×cube-mult_binary64_10679
24×associate-/r*_binary64_10593
17×log-div_binary64_10736 cube-div_binary64_10678 distribute-neg-frac_binary64_10613
13×cube-unmult_binary64_10686 distribute-rgt1-in_binary64_10605
11×distribute-rgt-neg-out_binary64_10609
10×unpow1/2_binary64_10713
distribute-lft-neg-out_binary64_10608 distribute-lft1-in_binary64_10604
unpow2_binary64_10714 associate-*l/_binary64_10592
unpow1_binary64_10707
unpow1/3_binary64_10716
exp-sqrt_binary64_10702 rem-3cbrt-lft_binary64_10674 rem-cbrt-cube_binary64_10673 mul-1-neg_binary64_10641
exp-lft-sqr_binary64_10704 1-exp_binary64_10693 exp-1-e_binary64_10692 rem-3cbrt-rft_binary64_10675 rem-square-sqrt_binary64_10661 sub0-neg_binary64_10636 --rgt-identity_binary64_10635 associate-+l-_binary64_10584
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_10912 erf-erfc_binary64_10911 erf-odd_binary64_10910 if-if-and-not_binary64_10909 if-if-and_binary64_10908 if-if-or-not_binary64_10907 if-if-or_binary64_10906 if-not_binary64_10905 if-same_binary64_10904 if-false_binary64_10903 if-true_binary64_10902 not-gte_binary64_10901 not-lte_binary64_10900 not-gt_binary64_10899 not-lt_binary64_10898 gte-same_binary64_10897 lte-same_binary64_10896 gt-same_binary64_10895 lt-same_binary64_10894 sinh---cosh_binary64_10841 sinh-+-cosh_binary64_10840 sinh-cosh_binary64_10839 tanh-def-c_binary64_10838 tanh-def-b_binary64_10837 tanh-def-a_binary64_10836 cosh-def_binary64_10835 sinh-def_binary64_10834 tan-neg_binary64_10781 cos-neg_binary64_10780 sin-neg_binary64_10779 tan-0_binary64_10778 cos-0_binary64_10777 sin-0_binary64_10776 hang-m-tan_binary64_10775 hang-p-tan_binary64_10774 hang-m0-tan_binary64_10773 hang-p0-tan_binary64_10772 hang-0m-tan_binary64_10771 hang-0p-tan_binary64_10770 tan-+PI/2_binary64_10769 tan-+PI_binary64_10768 tan-PI_binary64_10767 tan-PI/3_binary64_10766 tan-PI/4_binary64_10765 tan-PI/6_binary64_10764 cos-+PI/2_binary64_10763 cos-+PI_binary64_10762 cos-PI_binary64_10761 cos-PI/2_binary64_10760 cos-PI/3_binary64_10759 cos-PI/4_binary64_10758 cos-PI/6_binary64_10757 sin-+PI/2_binary64_10756 sin-+PI_binary64_10755 sin-PI_binary64_10754 sin-PI/2_binary64_10753 sin-PI/3_binary64_10752 sin-PI/4_binary64_10751 sin-PI/6_binary64_10750 sub-1-sin_binary64_10749 sub-1-cos_binary64_10748 -1-add-sin_binary64_10747 -1-add-cos_binary64_10746 1-sub-sin_binary64_10745 1-sub-cos_binary64_10744 cos-sin-sum_binary64_10743 log-E_binary64_10739 log-rec_binary64_10737 pow-base-0_binary64_10733 exp-to-pow_binary64_10711 pow-base-1_binary64_10709 unpow0_binary64_10708 unpow-1_binary64_10706 exp-lft-cube_binary64_10705 exp-cbrt_binary64_10703 div-exp_binary64_10700 rec-exp_binary64_10699 prod-exp_binary64_10698 exp-diff_binary64_10697 exp-neg_binary64_10696 exp-sum_binary64_10695 e-exp-1_binary64_10694 exp-0_binary64_10691 rem-log-exp_binary64_10690 rem-exp-log_binary64_10689 cube-neg_binary64_10676 rem-cube-cbrt_binary64_10672 sqr-abs_binary64_10664 sqr-neg_binary64_10663 div-sub_binary64_10654 unsub-neg_binary64_10643 /-rgt-identity_binary64_10640 remove-double-neg_binary64_10637 +-rgt-identity_binary64_10634 +-lft-identity_binary64_10633 mul0-rgt_binary64_10632 mul0-lft_binary64_10631 div0_binary64_10630 *-inverses_binary64_10629 +-inverses_binary64_10628 lft-mult-inverse_binary64_10627 rgt-mult-inverse_binary64_10626 remove-double-div_binary64_10625 difference-of-sqr--1_binary64_10620 difference-of-sqr-1_binary64_10619 difference-of-squares_binary64_10618 cancel-sign-sub_binary64_10614 distribute-frac-neg_binary64_10612 distribute-neg-out_binary64_10611 distribute-neg-in_binary64_10610 distribute-rgt-out--_binary64_10603 distribute-lft-out--_binary64_10601 associate--r-_binary64_10588 associate--l-_binary64_10587 associate--l+_binary64_10586 associate--r+_binary64_10585 associate-+r-_binary64_10583
Counts
85 → 50
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
056718
197666
2308646
31135632
42034548
53257548
64939548
74873548

prune34.0ms (0.8%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New46450
Fresh022
Picked011
Done033
Total461056
Error
6.1b
Counts
56 → 10
Compiler

Compiled 507 to 191 computations (62.3% saved)

regimes298.0ms (7.1%)

Accuracy

Total 0.2b remaining (3.7%)

Threshold costs 0.2b (3.7%)

Compiler

Compiled 2324 to 1736 computations (25.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
1-exp_binary64_10693 *-commutative_binary64_10580 +-commutative_binary64_10579
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_10909 if-if-and_binary64_10908 if-if-or-not_binary64_10907 if-if-or_binary64_10906 if-not_binary64_10905 if-same_binary64_10904 if-false_binary64_10903 if-true_binary64_10902 tan-0_binary64_10778 cos-0_binary64_10777 sin-0_binary64_10776 unpow1_binary64_10707 e-exp-1_binary64_10694 exp-1-e_binary64_10692 exp-0_binary64_10691 sqr-abs_binary64_10664 sqr-neg_binary64_10663 neg-mul-1_binary64_10645 neg-sub0_binary64_10644 unsub-neg_binary64_10643 sub-neg_binary64_10642 mul-1-neg_binary64_10641 /-rgt-identity_binary64_10640 *-rgt-identity_binary64_10639 *-lft-identity_binary64_10638 remove-double-neg_binary64_10637 sub0-neg_binary64_10636 --rgt-identity_binary64_10635 +-rgt-identity_binary64_10634 +-lft-identity_binary64_10633 cancel-sign-sub-inv_binary64_10615 cancel-sign-sub_binary64_10614 distribute-neg-frac_binary64_10613 distribute-frac-neg_binary64_10612 distribute-neg-out_binary64_10611 distribute-neg-in_binary64_10610 distribute-rgt-neg-out_binary64_10609 distribute-lft-neg-out_binary64_10608 distribute-rgt-neg-in_binary64_10607 distribute-lft-neg-in_binary64_10606
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11110
21010

end0.0ms (0%)

sample945.0ms (22.5%)

Algorithm
intervals
Results
177.0ms8000×body128valid
4.0ms176×body128invalid
Compiler

Compiled 480 to 360 computations (25% saved)

Profiling

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