Details

Time bar (total: 647.0ms)

analyze42.0ms (6.4%)

Algorithm
search
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
25%74.9%0.1%4
43.7%56.2%0.1%5
65.6%34.3%0.1%6
76.5%23.4%0.1%7
82%18%0.1%8
87.8%12.1%0.1%9
90.7%9.2%0.1%10
93.8%6.1%0.1%11
95.3%4.6%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample14.0ms (2.1%)

Algorithm
intervals
Results
5.0ms256×body128valid
Compiler

Compiled 11 to 11 computations (0% saved)

simplify149.0ms (23.1%)

Algorithm
egg-herbie
Rules
+-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 1-exp_binary64_10693 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 *-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 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 distribute-rgt-in_binary64_10599 distribute-lft-in_binary64_10598 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-*l*_binary64_10590 associate-*r*_binary64_10589 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 *-commutative_binary64_10580
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
167

prune3.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
0b
Counts
2 → 1
Compiler

Compiled 10 to 8 computations (20% saved)

localize8.0ms (1.3%)

rewrite1.0ms (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)

simplify9.0ms (1.3%)

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_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 1-exp_binary64_10693 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 *-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 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 distribute-rgt-in_binary64_10599 distribute-lft-in_binary64_10598 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-*l*_binary64_10590 associate-*r*_binary64_10589 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 *-commutative_binary64_10580 +-commutative_binary64_10579
Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000

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 (0.5%)

Algorithm
egg-herbie
Rules
+-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 1-exp_binary64_10693 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 *-commutative_binary64_10580
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
167
Proof
(/ f64 h0 (=> (+ f64 h1 h0))) +-commutative_binary64_10579 => (/ f64 h0 (+ f64 h0 h1))

end0.0ms (0%)

sample417.0ms (64.5%)

Algorithm
intervals
Results
156.0ms8000×body128valid
Compiler

Compiled 16 to 15 computations (6.3% saved)

Profiling

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