Details

Time bar (total: 650.0ms)

analyze54.0ms (8.3%)

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
0%99.9%0.1%4
25%74.9%0.1%5
25%50%25.1%6
25%31.2%43.8%7
31.2%25%43.8%8
39%17.2%43.8%9
42.9%13.3%43.8%10
47.2%9%43.8%11
49.4%6.8%43.8%12
51.6%4.6%43.8%13
52.7%3.5%43.8%14
Compiler

Compiled 8 to 6 computations (25% saved)

sample17.0ms (2.7%)

Algorithm
intervals
Results
9.0ms256×body128valid
Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify148.0ms (22.8%)

Algorithm
egg-herbie
Rules
+-commutative_binary64_7510
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_7843 erf-erfc_binary64_7842 erf-odd_binary64_7841 if-if-and-not_binary64_7840 if-if-and_binary64_7839 if-if-or-not_binary64_7838 if-if-or_binary64_7837 if-not_binary64_7836 if-same_binary64_7835 if-false_binary64_7834 if-true_binary64_7833 not-gte_binary64_7832 not-lte_binary64_7831 not-gt_binary64_7830 not-lt_binary64_7829 gte-same_binary64_7828 lte-same_binary64_7827 gt-same_binary64_7826 lt-same_binary64_7825 sinh---cosh_binary64_7772 sinh-+-cosh_binary64_7771 sinh-cosh_binary64_7770 tanh-def-c_binary64_7769 tanh-def-b_binary64_7768 tanh-def-a_binary64_7767 cosh-def_binary64_7766 sinh-def_binary64_7765 tan-neg_binary64_7712 cos-neg_binary64_7711 sin-neg_binary64_7710 tan-0_binary64_7709 cos-0_binary64_7708 sin-0_binary64_7707 hang-m-tan_binary64_7706 hang-p-tan_binary64_7705 hang-m0-tan_binary64_7704 hang-p0-tan_binary64_7703 hang-0m-tan_binary64_7702 hang-0p-tan_binary64_7701 tan-+PI/2_binary64_7700 tan-+PI_binary64_7699 tan-PI_binary64_7698 tan-PI/3_binary64_7697 tan-PI/4_binary64_7696 tan-PI/6_binary64_7695 cos-+PI/2_binary64_7694 cos-+PI_binary64_7693 cos-PI_binary64_7692 cos-PI/2_binary64_7691 cos-PI/3_binary64_7690 cos-PI/4_binary64_7689 cos-PI/6_binary64_7688 sin-+PI/2_binary64_7687 sin-+PI_binary64_7686 sin-PI_binary64_7685 sin-PI/2_binary64_7684 sin-PI/3_binary64_7683 sin-PI/4_binary64_7682 sin-PI/6_binary64_7681 sub-1-sin_binary64_7680 sub-1-cos_binary64_7679 -1-add-sin_binary64_7678 -1-add-cos_binary64_7677 1-sub-sin_binary64_7676 1-sub-cos_binary64_7675 cos-sin-sum_binary64_7674 log-E_binary64_7670 log-pow_binary64_7669 log-rec_binary64_7668 log-div_binary64_7667 log-prod_binary64_7666 pow-base-0_binary64_7664 unpow1/3_binary64_7647 unpow3_binary64_7646 unpow2_binary64_7645 unpow1/2_binary64_7644 pow-plus_binary64_7643 exp-to-pow_binary64_7642 pow-base-1_binary64_7640 unpow0_binary64_7639 unpow1_binary64_7638 unpow-1_binary64_7637 exp-lft-cube_binary64_7636 exp-lft-sqr_binary64_7635 exp-cbrt_binary64_7634 exp-sqrt_binary64_7633 exp-prod_binary64_7632 div-exp_binary64_7631 rec-exp_binary64_7630 prod-exp_binary64_7629 exp-diff_binary64_7628 exp-neg_binary64_7627 exp-sum_binary64_7626 e-exp-1_binary64_7625 1-exp_binary64_7624 exp-1-e_binary64_7623 exp-0_binary64_7622 rem-log-exp_binary64_7621 rem-exp-log_binary64_7620 cube-unmult_binary64_7617 cube-mult_binary64_7610 cube-div_binary64_7609 cube-prod_binary64_7608 cube-neg_binary64_7607 rem-3cbrt-rft_binary64_7606 rem-3cbrt-lft_binary64_7605 rem-cbrt-cube_binary64_7604 rem-cube-cbrt_binary64_7603 sqr-abs_binary64_7595 sqr-neg_binary64_7594 rem-sqrt-square_binary64_7593 rem-square-sqrt_binary64_7592 times-frac_binary64_7586 div-sub_binary64_7585 neg-mul-1_binary64_7576 neg-sub0_binary64_7575 unsub-neg_binary64_7574 sub-neg_binary64_7573 mul-1-neg_binary64_7572 /-rgt-identity_binary64_7571 *-rgt-identity_binary64_7570 *-lft-identity_binary64_7569 remove-double-neg_binary64_7568 sub0-neg_binary64_7567 --rgt-identity_binary64_7566 +-rgt-identity_binary64_7565 +-lft-identity_binary64_7564 mul0-rgt_binary64_7563 mul0-lft_binary64_7562 div0_binary64_7561 *-inverses_binary64_7560 +-inverses_binary64_7559 lft-mult-inverse_binary64_7558 rgt-mult-inverse_binary64_7557 remove-double-div_binary64_7556 pow-sqr_binary64_7553 sqr-pow_binary64_7552 difference-of-sqr--1_binary64_7551 difference-of-sqr-1_binary64_7550 difference-of-squares_binary64_7549 unswap-sqr_binary64_7548 swap-sqr_binary64_7547 cancel-sign-sub-inv_binary64_7546 cancel-sign-sub_binary64_7545 distribute-neg-frac_binary64_7544 distribute-frac-neg_binary64_7543 distribute-neg-out_binary64_7542 distribute-neg-in_binary64_7541 distribute-rgt-neg-out_binary64_7540 distribute-lft-neg-out_binary64_7539 distribute-rgt-neg-in_binary64_7538 distribute-lft-neg-in_binary64_7537 distribute-rgt1-in_binary64_7536 distribute-lft1-in_binary64_7535 distribute-rgt-out--_binary64_7534 distribute-rgt-out_binary64_7533 distribute-lft-out--_binary64_7532 distribute-lft-out_binary64_7531 distribute-rgt-in_binary64_7530 distribute-lft-in_binary64_7529 count-2_binary64_7528 associate-/l/_binary64_7527 associate-/r/_binary64_7526 associate-/l*_binary64_7525 associate-/r*_binary64_7524 associate-*l/_binary64_7523 associate-*r/_binary64_7522 associate-*l*_binary64_7521 associate-*r*_binary64_7520 associate--r-_binary64_7519 associate--l-_binary64_7518 associate--l+_binary64_7517 associate--r+_binary64_7516 associate-+l-_binary64_7515 associate-+r-_binary64_7514 associate-+l+_binary64_7513 associate-+r+_binary64_7512 *-commutative_binary64_7511
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
1710

prune1.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Compiled 7 to 5 computations (28.6% saved)

localize4.0ms (0.7%)

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)

simplify10.0ms (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_7843 erf-erfc_binary64_7842 erf-odd_binary64_7841 if-if-and-not_binary64_7840 if-if-and_binary64_7839 if-if-or-not_binary64_7838 if-if-or_binary64_7837 if-not_binary64_7836 if-same_binary64_7835 if-false_binary64_7834 if-true_binary64_7833 not-gte_binary64_7832 not-lte_binary64_7831 not-gt_binary64_7830 not-lt_binary64_7829 gte-same_binary64_7828 lte-same_binary64_7827 gt-same_binary64_7826 lt-same_binary64_7825 sinh---cosh_binary64_7772 sinh-+-cosh_binary64_7771 sinh-cosh_binary64_7770 tanh-def-c_binary64_7769 tanh-def-b_binary64_7768 tanh-def-a_binary64_7767 cosh-def_binary64_7766 sinh-def_binary64_7765 tan-neg_binary64_7712 cos-neg_binary64_7711 sin-neg_binary64_7710 tan-0_binary64_7709 cos-0_binary64_7708 sin-0_binary64_7707 hang-m-tan_binary64_7706 hang-p-tan_binary64_7705 hang-m0-tan_binary64_7704 hang-p0-tan_binary64_7703 hang-0m-tan_binary64_7702 hang-0p-tan_binary64_7701 tan-+PI/2_binary64_7700 tan-+PI_binary64_7699 tan-PI_binary64_7698 tan-PI/3_binary64_7697 tan-PI/4_binary64_7696 tan-PI/6_binary64_7695 cos-+PI/2_binary64_7694 cos-+PI_binary64_7693 cos-PI_binary64_7692 cos-PI/2_binary64_7691 cos-PI/3_binary64_7690 cos-PI/4_binary64_7689 cos-PI/6_binary64_7688 sin-+PI/2_binary64_7687 sin-+PI_binary64_7686 sin-PI_binary64_7685 sin-PI/2_binary64_7684 sin-PI/3_binary64_7683 sin-PI/4_binary64_7682 sin-PI/6_binary64_7681 sub-1-sin_binary64_7680 sub-1-cos_binary64_7679 -1-add-sin_binary64_7678 -1-add-cos_binary64_7677 1-sub-sin_binary64_7676 1-sub-cos_binary64_7675 cos-sin-sum_binary64_7674 log-E_binary64_7670 log-pow_binary64_7669 log-rec_binary64_7668 log-div_binary64_7667 log-prod_binary64_7666 pow-base-0_binary64_7664 unpow1/3_binary64_7647 unpow3_binary64_7646 unpow2_binary64_7645 unpow1/2_binary64_7644 pow-plus_binary64_7643 exp-to-pow_binary64_7642 pow-base-1_binary64_7640 unpow0_binary64_7639 unpow1_binary64_7638 unpow-1_binary64_7637 exp-lft-cube_binary64_7636 exp-lft-sqr_binary64_7635 exp-cbrt_binary64_7634 exp-sqrt_binary64_7633 exp-prod_binary64_7632 div-exp_binary64_7631 rec-exp_binary64_7630 prod-exp_binary64_7629 exp-diff_binary64_7628 exp-neg_binary64_7627 exp-sum_binary64_7626 e-exp-1_binary64_7625 1-exp_binary64_7624 exp-1-e_binary64_7623 exp-0_binary64_7622 rem-log-exp_binary64_7621 rem-exp-log_binary64_7620 cube-unmult_binary64_7617 cube-mult_binary64_7610 cube-div_binary64_7609 cube-prod_binary64_7608 cube-neg_binary64_7607 rem-3cbrt-rft_binary64_7606 rem-3cbrt-lft_binary64_7605 rem-cbrt-cube_binary64_7604 rem-cube-cbrt_binary64_7603 sqr-abs_binary64_7595 sqr-neg_binary64_7594 rem-sqrt-square_binary64_7593 rem-square-sqrt_binary64_7592 times-frac_binary64_7586 div-sub_binary64_7585 neg-mul-1_binary64_7576 neg-sub0_binary64_7575 unsub-neg_binary64_7574 sub-neg_binary64_7573 mul-1-neg_binary64_7572 /-rgt-identity_binary64_7571 *-rgt-identity_binary64_7570 *-lft-identity_binary64_7569 remove-double-neg_binary64_7568 sub0-neg_binary64_7567 --rgt-identity_binary64_7566 +-rgt-identity_binary64_7565 +-lft-identity_binary64_7564 mul0-rgt_binary64_7563 mul0-lft_binary64_7562 div0_binary64_7561 *-inverses_binary64_7560 +-inverses_binary64_7559 lft-mult-inverse_binary64_7558 rgt-mult-inverse_binary64_7557 remove-double-div_binary64_7556 pow-sqr_binary64_7553 sqr-pow_binary64_7552 difference-of-sqr--1_binary64_7551 difference-of-sqr-1_binary64_7550 difference-of-squares_binary64_7549 unswap-sqr_binary64_7548 swap-sqr_binary64_7547 cancel-sign-sub-inv_binary64_7546 cancel-sign-sub_binary64_7545 distribute-neg-frac_binary64_7544 distribute-frac-neg_binary64_7543 distribute-neg-out_binary64_7542 distribute-neg-in_binary64_7541 distribute-rgt-neg-out_binary64_7540 distribute-lft-neg-out_binary64_7539 distribute-rgt-neg-in_binary64_7538 distribute-lft-neg-in_binary64_7537 distribute-rgt1-in_binary64_7536 distribute-lft1-in_binary64_7535 distribute-rgt-out--_binary64_7534 distribute-rgt-out_binary64_7533 distribute-lft-out--_binary64_7532 distribute-lft-out_binary64_7531 distribute-rgt-in_binary64_7530 distribute-lft-in_binary64_7529 count-2_binary64_7528 associate-/l/_binary64_7527 associate-/r/_binary64_7526 associate-/l*_binary64_7525 associate-/r*_binary64_7524 associate-*l/_binary64_7523 associate-*r/_binary64_7522 associate-*l*_binary64_7521 associate-*r*_binary64_7520 associate--r-_binary64_7519 associate--l-_binary64_7518 associate--l+_binary64_7517 associate--r+_binary64_7516 associate-+l-_binary64_7515 associate-+r-_binary64_7514 associate-+l+_binary64_7513 associate-+r+_binary64_7512 *-commutative_binary64_7511 +-commutative_binary64_7510
Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000

prune1.0ms (0.2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0.4%)

Algorithm
egg-herbie
Rules
+-commutative_binary64_7510
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_7840 if-if-and_binary64_7839 if-if-or-not_binary64_7838 if-if-or_binary64_7837 if-not_binary64_7836 if-same_binary64_7835 if-false_binary64_7834 if-true_binary64_7833 tan-0_binary64_7709 cos-0_binary64_7708 sin-0_binary64_7707 unpow1_binary64_7638 e-exp-1_binary64_7625 1-exp_binary64_7624 exp-1-e_binary64_7623 exp-0_binary64_7622 sqr-abs_binary64_7595 sqr-neg_binary64_7594 neg-mul-1_binary64_7576 neg-sub0_binary64_7575 unsub-neg_binary64_7574 sub-neg_binary64_7573 mul-1-neg_binary64_7572 /-rgt-identity_binary64_7571 *-rgt-identity_binary64_7570 *-lft-identity_binary64_7569 remove-double-neg_binary64_7568 sub0-neg_binary64_7567 --rgt-identity_binary64_7566 +-rgt-identity_binary64_7565 +-lft-identity_binary64_7564 cancel-sign-sub-inv_binary64_7546 cancel-sign-sub_binary64_7545 distribute-neg-frac_binary64_7544 distribute-frac-neg_binary64_7543 distribute-neg-out_binary64_7542 distribute-neg-in_binary64_7541 distribute-rgt-neg-out_binary64_7540 distribute-lft-neg-out_binary64_7539 distribute-rgt-neg-in_binary64_7538 distribute-lft-neg-in_binary64_7537 *-commutative_binary64_7511
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
1710
Proof
(+ f64 (* f64 h0 h0) (* f64 h1 h1))

end0.0ms (0%)

sample411.0ms (63.2%)

Algorithm
intervals
Results
172.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 22 to 18 computations (18.2% saved)

Profiling

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