Metrics for AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, A

analyze182.0ms (4.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

1× +-commutative_binary64_13648

0× 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_13981 erf-erfc_binary64_13980 erf-odd_binary64_13979 if-if-and-not_binary64_13978 if-if-and_binary64_13977 if-if-or-not_binary64_13976 if-if-or_binary64_13975 if-not_binary64_13974 if-same_binary64_13973 if-false_binary64_13972 if-true_binary64_13971 not-gte_binary64_13970 not-lte_binary64_13969 not-gt_binary64_13968 not-lt_binary64_13967 gte-same_binary64_13966 lte-same_binary64_13965 gt-same_binary64_13964 lt-same_binary64_13963 sinh---cosh_binary64_13910 sinh-+-cosh_binary64_13909 sinh-cosh_binary64_13908 tanh-def-c_binary64_13907 tanh-def-b_binary64_13906 tanh-def-a_binary64_13905 cosh-def_binary64_13904 sinh-def_binary64_13903 tan-neg_binary64_13850 cos-neg_binary64_13849 sin-neg_binary64_13848 tan-0_binary64_13847 cos-0_binary64_13846 sin-0_binary64_13845 hang-m-tan_binary64_13844 hang-p-tan_binary64_13843 hang-m0-tan_binary64_13842 hang-p0-tan_binary64_13841 hang-0m-tan_binary64_13840 hang-0p-tan_binary64_13839 tan-+PI/2_binary64_13838 tan-+PI_binary64_13837 tan-PI_binary64_13836 tan-PI/3_binary64_13835 tan-PI/4_binary64_13834 tan-PI/6_binary64_13833 cos-+PI/2_binary64_13832 cos-+PI_binary64_13831 cos-PI_binary64_13830 cos-PI/2_binary64_13829 cos-PI/3_binary64_13828 cos-PI/4_binary64_13827 cos-PI/6_binary64_13826 sin-+PI/2_binary64_13825 sin-+PI_binary64_13824 sin-PI_binary64_13823 sin-PI/2_binary64_13822 sin-PI/3_binary64_13821 sin-PI/4_binary64_13820 sin-PI/6_binary64_13819 sub-1-sin_binary64_13818 sub-1-cos_binary64_13817 -1-add-sin_binary64_13816 -1-add-cos_binary64_13815 1-sub-sin_binary64_13814 1-sub-cos_binary64_13813 cos-sin-sum_binary64_13812 log-E_binary64_13808 log-pow_binary64_13807 log-rec_binary64_13806 log-div_binary64_13805 log-prod_binary64_13804 pow-base-0_binary64_13802 unpow1/3_binary64_13785 unpow3_binary64_13784 unpow2_binary64_13783 unpow1/2_binary64_13782 pow-plus_binary64_13781 exp-to-pow_binary64_13780 pow-base-1_binary64_13778 unpow0_binary64_13777 unpow1_binary64_13776 unpow-1_binary64_13775 exp-lft-cube_binary64_13774 exp-lft-sqr_binary64_13773 exp-cbrt_binary64_13772 exp-sqrt_binary64_13771 exp-prod_binary64_13770 div-exp_binary64_13769 rec-exp_binary64_13768 prod-exp_binary64_13767 exp-diff_binary64_13766 exp-neg_binary64_13765 exp-sum_binary64_13764 e-exp-1_binary64_13763 1-exp_binary64_13762 exp-1-e_binary64_13761 exp-0_binary64_13760 rem-log-exp_binary64_13759 rem-exp-log_binary64_13758 cube-unmult_binary64_13755 cube-mult_binary64_13748 cube-div_binary64_13747 cube-prod_binary64_13746 cube-neg_binary64_13745 rem-3cbrt-rft_binary64_13744 rem-3cbrt-lft_binary64_13743 rem-cbrt-cube_binary64_13742 rem-cube-cbrt_binary64_13741 sqr-abs_binary64_13733 sqr-neg_binary64_13732 rem-sqrt-square_binary64_13731 rem-square-sqrt_binary64_13730 times-frac_binary64_13724 div-sub_binary64_13723 neg-mul-1_binary64_13714 neg-sub0_binary64_13713 unsub-neg_binary64_13712 sub-neg_binary64_13711 mul-1-neg_binary64_13710 /-rgt-identity_binary64_13709 *-rgt-identity_binary64_13708 *-lft-identity_binary64_13707 remove-double-neg_binary64_13706 sub0-neg_binary64_13705 --rgt-identity_binary64_13704 +-rgt-identity_binary64_13703 +-lft-identity_binary64_13702 mul0-rgt_binary64_13701 mul0-lft_binary64_13700 div0_binary64_13699 *-inverses_binary64_13698 +-inverses_binary64_13697 lft-mult-inverse_binary64_13696 rgt-mult-inverse_binary64_13695 remove-double-div_binary64_13694 pow-sqr_binary64_13691 sqr-pow_binary64_13690 difference-of-sqr--1_binary64_13689 difference-of-sqr-1_binary64_13688 difference-of-squares_binary64_13687 unswap-sqr_binary64_13686 swap-sqr_binary64_13685 cancel-sign-sub-inv_binary64_13684 cancel-sign-sub_binary64_13683 distribute-neg-frac_binary64_13682 distribute-frac-neg_binary64_13681 distribute-neg-out_binary64_13680 distribute-neg-in_binary64_13679 distribute-rgt-neg-out_binary64_13678 distribute-lft-neg-out_binary64_13677 distribute-rgt-neg-in_binary64_13676 distribute-lft-neg-in_binary64_13675 distribute-rgt1-in_binary64_13674 distribute-lft1-in_binary64_13673 distribute-rgt-out--_binary64_13672 distribute-rgt-out_binary64_13671 distribute-lft-out--_binary64_13670 distribute-lft-out_binary64_13669 distribute-rgt-in_binary64_13668 distribute-lft-in_binary64_13667 count-2_binary64_13666 associate-/l/_binary64_13665 associate-/r/_binary64_13664 associate-/l*_binary64_13663 associate-/r*_binary64_13662 associate-*l/_binary64_13661 associate-*r/_binary64_13660 associate-*l*_binary64_13659 associate-*r*_binary64_13658 associate--r-_binary64_13657 associate--l-_binary64_13656 associate--l+_binary64_13655 associate--r+_binary64_13654 associate-+l-_binary64_13653 associate-+r-_binary64_13652 associate-+l+_binary64_13651 associate-+r+_binary64_13650 *-commutative_binary64_13649

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	7	14
2	7	14
0	2	2
1	2	2

Search

True	Other	False	Iter
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)

sample13.0ms (0.3%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1× +-commutative_binary64_13648

0× 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_13981 erf-erfc_binary64_13980 erf-odd_binary64_13979 if-if-and-not_binary64_13978 if-if-and_binary64_13977 if-if-or-not_binary64_13976 if-if-or_binary64_13975 if-not_binary64_13974 if-same_binary64_13973 if-false_binary64_13972 if-true_binary64_13971 not-gte_binary64_13970 not-lte_binary64_13969 not-gt_binary64_13968 not-lt_binary64_13967 gte-same_binary64_13966 lte-same_binary64_13965 gt-same_binary64_13964 lt-same_binary64_13963 sinh---cosh_binary64_13910 sinh-+-cosh_binary64_13909 sinh-cosh_binary64_13908 tanh-def-c_binary64_13907 tanh-def-b_binary64_13906 tanh-def-a_binary64_13905 cosh-def_binary64_13904 sinh-def_binary64_13903 tan-neg_binary64_13850 cos-neg_binary64_13849 sin-neg_binary64_13848 tan-0_binary64_13847 cos-0_binary64_13846 sin-0_binary64_13845 hang-m-tan_binary64_13844 hang-p-tan_binary64_13843 hang-m0-tan_binary64_13842 hang-p0-tan_binary64_13841 hang-0m-tan_binary64_13840 hang-0p-tan_binary64_13839 tan-+PI/2_binary64_13838 tan-+PI_binary64_13837 tan-PI_binary64_13836 tan-PI/3_binary64_13835 tan-PI/4_binary64_13834 tan-PI/6_binary64_13833 cos-+PI/2_binary64_13832 cos-+PI_binary64_13831 cos-PI_binary64_13830 cos-PI/2_binary64_13829 cos-PI/3_binary64_13828 cos-PI/4_binary64_13827 cos-PI/6_binary64_13826 sin-+PI/2_binary64_13825 sin-+PI_binary64_13824 sin-PI_binary64_13823 sin-PI/2_binary64_13822 sin-PI/3_binary64_13821 sin-PI/4_binary64_13820 sin-PI/6_binary64_13819 sub-1-sin_binary64_13818 sub-1-cos_binary64_13817 -1-add-sin_binary64_13816 -1-add-cos_binary64_13815 1-sub-sin_binary64_13814 1-sub-cos_binary64_13813 cos-sin-sum_binary64_13812 log-E_binary64_13808 log-pow_binary64_13807 log-rec_binary64_13806 log-div_binary64_13805 log-prod_binary64_13804 pow-base-0_binary64_13802 unpow1/3_binary64_13785 unpow3_binary64_13784 unpow2_binary64_13783 unpow1/2_binary64_13782 pow-plus_binary64_13781 exp-to-pow_binary64_13780 pow-base-1_binary64_13778 unpow0_binary64_13777 unpow1_binary64_13776 unpow-1_binary64_13775 exp-lft-cube_binary64_13774 exp-lft-sqr_binary64_13773 exp-cbrt_binary64_13772 exp-sqrt_binary64_13771 exp-prod_binary64_13770 div-exp_binary64_13769 rec-exp_binary64_13768 prod-exp_binary64_13767 exp-diff_binary64_13766 exp-neg_binary64_13765 exp-sum_binary64_13764 e-exp-1_binary64_13763 1-exp_binary64_13762 exp-1-e_binary64_13761 exp-0_binary64_13760 rem-log-exp_binary64_13759 rem-exp-log_binary64_13758 cube-unmult_binary64_13755 cube-mult_binary64_13748 cube-div_binary64_13747 cube-prod_binary64_13746 cube-neg_binary64_13745 rem-3cbrt-rft_binary64_13744 rem-3cbrt-lft_binary64_13743 rem-cbrt-cube_binary64_13742 rem-cube-cbrt_binary64_13741 sqr-abs_binary64_13733 sqr-neg_binary64_13732 rem-sqrt-square_binary64_13731 rem-square-sqrt_binary64_13730 times-frac_binary64_13724 div-sub_binary64_13723 neg-mul-1_binary64_13714 neg-sub0_binary64_13713 unsub-neg_binary64_13712 sub-neg_binary64_13711 mul-1-neg_binary64_13710 /-rgt-identity_binary64_13709 *-rgt-identity_binary64_13708 *-lft-identity_binary64_13707 remove-double-neg_binary64_13706 sub0-neg_binary64_13705 --rgt-identity_binary64_13704 +-rgt-identity_binary64_13703 +-lft-identity_binary64_13702 mul0-rgt_binary64_13701 mul0-lft_binary64_13700 div0_binary64_13699 *-inverses_binary64_13698 +-inverses_binary64_13697 lft-mult-inverse_binary64_13696 rgt-mult-inverse_binary64_13695 remove-double-div_binary64_13694 pow-sqr_binary64_13691 sqr-pow_binary64_13690 difference-of-sqr--1_binary64_13689 difference-of-sqr-1_binary64_13688 difference-of-squares_binary64_13687 unswap-sqr_binary64_13686 swap-sqr_binary64_13685 cancel-sign-sub-inv_binary64_13684 cancel-sign-sub_binary64_13683 distribute-neg-frac_binary64_13682 distribute-frac-neg_binary64_13681 distribute-neg-out_binary64_13680 distribute-neg-in_binary64_13679 distribute-rgt-neg-out_binary64_13678 distribute-lft-neg-out_binary64_13677 distribute-rgt-neg-in_binary64_13676 distribute-lft-neg-in_binary64_13675 distribute-rgt1-in_binary64_13674 distribute-lft1-in_binary64_13673 distribute-rgt-out--_binary64_13672 distribute-rgt-out_binary64_13671 distribute-lft-out--_binary64_13670 distribute-lft-out_binary64_13669 distribute-rgt-in_binary64_13668 distribute-lft-in_binary64_13667 count-2_binary64_13666 associate-/l/_binary64_13665 associate-/r/_binary64_13664 associate-/l*_binary64_13663 associate-/r*_binary64_13662 associate-*l/_binary64_13661 associate-*r/_binary64_13660 associate-*l*_binary64_13659 associate-*r*_binary64_13658 associate--r-_binary64_13657 associate--l-_binary64_13656 associate--l+_binary64_13655 associate--r+_binary64_13654 associate-+l-_binary64_13653 associate-+r-_binary64_13652 associate-+l+_binary64_13651 associate-+r+_binary64_13650 *-commutative_binary64_13649

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7
2	6	7

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

0.0b

Counts

1 → 1

Compiler

Compiled 5 to 4 computations (20% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 x (+.f64 x y))

rewrite36.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0b

Rules

18×	`*-un-lft-identity_binary64_13718`
12×	`times-frac_binary64_13724`
10×	`add-cube-cbrt_binary64_13753` `add-sqr-sqrt_binary64_13740`
4×	`distribute-lft-out_binary64_13669` `associate-/r*_binary64_13662`
3×	`add-exp-log_binary64_13756` `add-cbrt-cube_binary64_13754` `associate-/l*_binary64_13663`
2×	`associate-/r/_binary64_13664`
1×	`pow1_binary64_13779` `div-exp_binary64_13769` `add-log-exp_binary64_13757` `cbrt-undiv_binary64_13752` `frac-2neg_binary64_13729` `clear-num_binary64_13717` `div-inv_binary64_13715` `flip3-+_binary64_13721` `flip-+_binary64_13692`

Counts

1 → 33

Calls

1 calls:

6.0ms

(/.f64 x (+.f64 x y))

Compiler

Compiled 404 to 116 computations (71.3% saved)

series118.0ms (2.9%)

Error

0.0b

Counts

1 → 21

Calls

1 calls:

101.0ms

(/.f64 x (+.f64 x y))

Compiler

Compiled 519 to 385 computations (25.8% saved)

simplify70.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

626×	`associate-/l*_binary64_13663`
423×	`associate-/r*_binary64_13662`
412×	`div-sub_binary64_13723`
376×	`associate-/l/_binary64_13665`
375×	`associate-*l/_binary64_13661`
280×	`associate-/r/_binary64_13664`
187×	`cancel-sign-sub-inv_binary64_13684`
163×	`distribute-rgt-in_binary64_13668`
151×	`distribute-lft-in_binary64_13667`
114×	`unswap-sqr_binary64_13686`
100×	`times-frac_binary64_13724`
96×	`distribute-neg-frac_binary64_13682`
77×	`sub-neg_binary64_13711`
71×	`distribute-rgt-neg-in_binary64_13676`
69×	`distribute-lft-neg-in_binary64_13675`
52×	`cube-div_binary64_13747`
45×	`associate-*r/_binary64_13660`
43×	`associate-l_binary64_13659`
35×	`distribute-rgt-out_binary64_13671`
32×	`*-commutative_binary64_13649`
31×	`associate-r_binary64_13658`
29×	`neg-mul-1_binary64_13714` `neg-sub0_binary64_13713`
28×	`cube-prod_binary64_13746`
25×	`sqr-pow_binary64_13690`
23×	`associate-+r+_binary64_13650` `+-commutative_binary64_13648`
22×	`associate-+l+_binary64_13651`
21×	`distribute-rgt-out--_binary64_13672`
20×	`log-div_binary64_13805`
19×	`cube-unmult_binary64_13755` `distribute-lft-out_binary64_13669`
18×	`associate-+l-_binary64_13653`
16×	`unpow3_binary64_13784`
15×	`associate-+r-_binary64_13652`
14×	`associate--l+_binary64_13655`
13×	`difference-of-squares_binary64_13687`
12×	`*-rgt-identity_binary64_13708`
10×	`unsub-neg_binary64_13712` `sub0-neg_binary64_13705`
9×	`log-prod_binary64_13804` `+-rgt-identity_binary64_13703`
8×	`distribute-lft-out--_binary64_13670`
7×	`associate--r+_binary64_13654`
6×	`pow-plus_binary64_13781` `*-lft-identity_binary64_13707` `distribute-rgt1-in_binary64_13674`
5×	`cube-mult_binary64_13748` `distribute-neg-in_binary64_13679`
4×	`/-rgt-identity_binary64_13709`
3×	`log-pow_binary64_13807` `sqr-neg_binary64_13732` `rem-sqrt-square_binary64_13731` `distribute-lft-neg-out_binary64_13677`
2×	`log-rec_binary64_13806` `unpow2_binary64_13783` `unpow1/2_binary64_13782` `unpow1_binary64_13776` `pow-sqr_binary64_13691` `difference-of-sqr--1_binary64_13689` `swap-sqr_binary64_13685` `distribute-rgt-neg-out_binary64_13678` `count-2_binary64_13666` `associate--l-_binary64_13656`
1×	`exp-prod_binary64_13770` `1-exp_binary64_13762` `cube-neg_binary64_13745` `remove-double-neg_binary64_13706` `--rgt-identity_binary64_13704` `div0_binary64_13699` `cancel-sign-sub_binary64_13683` `distribute-frac-neg_binary64_13681` `associate--r-_binary64_13657`
0×	`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_13981` `erf-erfc_binary64_13980` `erf-odd_binary64_13979` `if-if-and-not_binary64_13978` `if-if-and_binary64_13977` `if-if-or-not_binary64_13976` `if-if-or_binary64_13975` `if-not_binary64_13974` `if-same_binary64_13973` `if-false_binary64_13972` `if-true_binary64_13971` `not-gte_binary64_13970` `not-lte_binary64_13969` `not-gt_binary64_13968` `not-lt_binary64_13967` `gte-same_binary64_13966` `lte-same_binary64_13965` `gt-same_binary64_13964` `lt-same_binary64_13963` `sinh---cosh_binary64_13910` `sinh-+-cosh_binary64_13909` `sinh-cosh_binary64_13908` `tanh-def-c_binary64_13907` `tanh-def-b_binary64_13906` `tanh-def-a_binary64_13905` `cosh-def_binary64_13904` `sinh-def_binary64_13903` `tan-neg_binary64_13850` `cos-neg_binary64_13849` `sin-neg_binary64_13848` `tan-0_binary64_13847` `cos-0_binary64_13846` `sin-0_binary64_13845` `hang-m-tan_binary64_13844` `hang-p-tan_binary64_13843` `hang-m0-tan_binary64_13842` `hang-p0-tan_binary64_13841` `hang-0m-tan_binary64_13840` `hang-0p-tan_binary64_13839` `tan-+PI/2_binary64_13838` `tan-+PI_binary64_13837` `tan-PI_binary64_13836` `tan-PI/3_binary64_13835` `tan-PI/4_binary64_13834` `tan-PI/6_binary64_13833` `cos-+PI/2_binary64_13832` `cos-+PI_binary64_13831` `cos-PI_binary64_13830` `cos-PI/2_binary64_13829` `cos-PI/3_binary64_13828` `cos-PI/4_binary64_13827` `cos-PI/6_binary64_13826` `sin-+PI/2_binary64_13825` `sin-+PI_binary64_13824` `sin-PI_binary64_13823` `sin-PI/2_binary64_13822` `sin-PI/3_binary64_13821` `sin-PI/4_binary64_13820` `sin-PI/6_binary64_13819` `sub-1-sin_binary64_13818` `sub-1-cos_binary64_13817` `-1-add-sin_binary64_13816` `-1-add-cos_binary64_13815` `1-sub-sin_binary64_13814` `1-sub-cos_binary64_13813` `cos-sin-sum_binary64_13812` `log-E_binary64_13808` `pow-base-0_binary64_13802` `unpow1/3_binary64_13785` `exp-to-pow_binary64_13780` `pow-base-1_binary64_13778` `unpow0_binary64_13777` `unpow-1_binary64_13775` `exp-lft-cube_binary64_13774` `exp-lft-sqr_binary64_13773` `exp-cbrt_binary64_13772` `exp-sqrt_binary64_13771` `div-exp_binary64_13769` `rec-exp_binary64_13768` `prod-exp_binary64_13767` `exp-diff_binary64_13766` `exp-neg_binary64_13765` `exp-sum_binary64_13764` `e-exp-1_binary64_13763` `exp-1-e_binary64_13761` `exp-0_binary64_13760` `rem-log-exp_binary64_13759` `rem-exp-log_binary64_13758` `rem-3cbrt-rft_binary64_13744` `rem-3cbrt-lft_binary64_13743` `rem-cbrt-cube_binary64_13742` `rem-cube-cbrt_binary64_13741` `sqr-abs_binary64_13733` `rem-square-sqrt_binary64_13730` `mul-1-neg_binary64_13710` `+-lft-identity_binary64_13702` `mul0-rgt_binary64_13701` `mul0-lft_binary64_13700` `*-inverses_binary64_13698` `+-inverses_binary64_13697` `lft-mult-inverse_binary64_13696` `rgt-mult-inverse_binary64_13695` `remove-double-div_binary64_13694` `difference-of-sqr-1_binary64_13688` `distribute-neg-out_binary64_13680` `distribute-lft1-in_binary64_13673`

Counts

54 → 24

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	776
1	164	746
2	418	710
3	1261	704
4	4633	704
5	5463	704

prune19.0ms (0.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	22	2	24
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	23	2	25

Error

0.0b

Counts

25 → 2

Compiler

Compiled 276 to 110 computations (60.1% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (+.f64 x y))
0.1b	(pow.f64 (/.f64 x (+.f64 x y)) 3)
13.2b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))

rewrite173.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0b

Rules

78×	`*-un-lft-identity_binary64_13718`
60×	`times-frac_binary64_13724`
46×	`add-cube-cbrt_binary64_13753` `add-sqr-sqrt_binary64_13740`
42×	`cbrt-prod_binary64_13749`
36×	`unpow-prod-down_binary64_13797` `cube-prod_binary64_13746`
16×	`distribute-lft-out_binary64_13669`
10×	`associate-/r/_binary64_13664`
8×	`add-exp-log_binary64_13756` `add-cbrt-cube_binary64_13754`
5×	`div-inv_binary64_13715` `flip3-+_binary64_13721` `flip-+_binary64_13692`
4×	`pow1_binary64_13779` `associate-/r*_binary64_13662`
3×	`add-log-exp_binary64_13757` `pow-unpow_binary64_13795` `associate-/l*_binary64_13663`
2×	`cube-div_binary64_13747` `unpow3_binary64_13784` `cube-mult_binary64_13748` `sqr-pow_binary64_13690` `div-exp_binary64_13769` `pow-exp_binary64_13786` `rem-cube-cbrt_binary64_13741` `cbrt-undiv_binary64_13752`
1×	`pow1/3_binary64_13800` `cbrt-div_binary64_13750` `rem-cbrt-cube_binary64_13742` `pow-pow_binary64_13790` `pow-to-exp_binary64_13787` `frac-2neg_binary64_13729` `clear-num_binary64_13717`

Counts

3 → 141

Calls

3 calls:

8.0ms	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
8.0ms	(pow.f64 (/.f64 x (+.f64 x y)) 3)
5.0ms	(/.f64 x (+.f64 x y))

Compiler

Compiled 2470 to 1006 computations (59.3% saved)

series427.0ms (10.5%)

Error

0.0b

Counts

3 → 63

Calls

3 calls:

157.0ms	(pow.f64 (/.f64 x (+.f64 x y)) 3)
117.0ms	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
99.0ms	(/.f64 x (+.f64 x y))

Compiler

Compiled 1995 to 1597 computations (19.9% saved)

simplify109.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

787×	`associate-/l*_binary64_13663`
443×	`unswap-sqr_binary64_13686`
305×	`associate-/r/_binary64_13664`
298×	`associate-/l/_binary64_13665`
151×	`cancel-sign-sub-inv_binary64_13684`
131×	`sqr-pow_binary64_13690`
116×	`distribute-rgt-in_binary64_13668`
97×	`distribute-lft-in_binary64_13667`
88×	`log-prod_binary64_13804`
74×	`associate-*l/_binary64_13661`
70×	`cube-div_binary64_13747` `associate-*r/_binary64_13660`
68×	`sub-neg_binary64_13711`
66×	`log-div_binary64_13805`
59×	`times-frac_binary64_13724`
58×	`exp-prod_binary64_13770`
48×	`distribute-rgt-neg-in_binary64_13676`
46×	`cube-prod_binary64_13746`
45×	`distribute-lft-neg-in_binary64_13675`
44×	`associate-r_binary64_13658`
43×	`associate-l_binary64_13659`
39×	`unpow3_binary64_13784` `associate-/r*_binary64_13662`
38×	`cube-mult_binary64_13748` `swap-sqr_binary64_13685` `distribute-neg-frac_binary64_13682`
36×	`+-commutative_binary64_13648`
28×	`*-commutative_binary64_13649`
26×	`rem-cbrt-cube_binary64_13742`
21×	`neg-sub0_binary64_13713` `associate--l+_binary64_13655`
20×	`neg-mul-1_binary64_13714`
16×	`log-pow_binary64_13807` `*-rgt-identity_binary64_13708`
15×	`associate--r+_binary64_13654`
14×	`pow-sqr_binary64_13691`
13×	`rem-sqrt-square_binary64_13731` `unsub-neg_binary64_13712`
9×	`pow-plus_binary64_13781`
8×	`distribute-neg-in_binary64_13679`
7×	`cube-unmult_binary64_13755` `*-lft-identity_binary64_13707` `difference-of-squares_binary64_13687` `distribute-lft-neg-out_binary64_13677`
6×	`distribute-rgt-out--_binary64_13672` `associate-+l+_binary64_13651`
4×	`/-rgt-identity_binary64_13709` `distribute-rgt-neg-out_binary64_13678` `distribute-rgt-out_binary64_13671`
3×	`unpow1/2_binary64_13782` `unpow1_binary64_13776` `rem-cube-cbrt_binary64_13741` `rem-square-sqrt_binary64_13730` `distribute-rgt1-in_binary64_13674` `distribute-lft-out_binary64_13669` `count-2_binary64_13666`
2×	`unpow2_binary64_13783` `distribute-lft-out--_binary64_13670` `associate-+l-_binary64_13653`
1×	`1-exp_binary64_13762` `rem-3cbrt-lft_binary64_13743` `div-sub_binary64_13723` `mul-1-neg_binary64_13710` `sub0-neg_binary64_13705` `associate-+r-_binary64_13652`
0×	`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_13981` `erf-erfc_binary64_13980` `erf-odd_binary64_13979` `if-if-and-not_binary64_13978` `if-if-and_binary64_13977` `if-if-or-not_binary64_13976` `if-if-or_binary64_13975` `if-not_binary64_13974` `if-same_binary64_13973` `if-false_binary64_13972` `if-true_binary64_13971` `not-gte_binary64_13970` `not-lte_binary64_13969` `not-gt_binary64_13968` `not-lt_binary64_13967` `gte-same_binary64_13966` `lte-same_binary64_13965` `gt-same_binary64_13964` `lt-same_binary64_13963` `sinh---cosh_binary64_13910` `sinh-+-cosh_binary64_13909` `sinh-cosh_binary64_13908` `tanh-def-c_binary64_13907` `tanh-def-b_binary64_13906` `tanh-def-a_binary64_13905` `cosh-def_binary64_13904` `sinh-def_binary64_13903` `tan-neg_binary64_13850` `cos-neg_binary64_13849` `sin-neg_binary64_13848` `tan-0_binary64_13847` `cos-0_binary64_13846` `sin-0_binary64_13845` `hang-m-tan_binary64_13844` `hang-p-tan_binary64_13843` `hang-m0-tan_binary64_13842` `hang-p0-tan_binary64_13841` `hang-0m-tan_binary64_13840` `hang-0p-tan_binary64_13839` `tan-+PI/2_binary64_13838` `tan-+PI_binary64_13837` `tan-PI_binary64_13836` `tan-PI/3_binary64_13835` `tan-PI/4_binary64_13834` `tan-PI/6_binary64_13833` `cos-+PI/2_binary64_13832` `cos-+PI_binary64_13831` `cos-PI_binary64_13830` `cos-PI/2_binary64_13829` `cos-PI/3_binary64_13828` `cos-PI/4_binary64_13827` `cos-PI/6_binary64_13826` `sin-+PI/2_binary64_13825` `sin-+PI_binary64_13824` `sin-PI_binary64_13823` `sin-PI/2_binary64_13822` `sin-PI/3_binary64_13821` `sin-PI/4_binary64_13820` `sin-PI/6_binary64_13819` `sub-1-sin_binary64_13818` `sub-1-cos_binary64_13817` `-1-add-sin_binary64_13816` `-1-add-cos_binary64_13815` `1-sub-sin_binary64_13814` `1-sub-cos_binary64_13813` `cos-sin-sum_binary64_13812` `log-E_binary64_13808` `log-rec_binary64_13806` `pow-base-0_binary64_13802` `unpow1/3_binary64_13785` `exp-to-pow_binary64_13780` `pow-base-1_binary64_13778` `unpow0_binary64_13777` `unpow-1_binary64_13775` `exp-lft-cube_binary64_13774` `exp-lft-sqr_binary64_13773` `exp-cbrt_binary64_13772` `exp-sqrt_binary64_13771` `div-exp_binary64_13769` `rec-exp_binary64_13768` `prod-exp_binary64_13767` `exp-diff_binary64_13766` `exp-neg_binary64_13765` `exp-sum_binary64_13764` `e-exp-1_binary64_13763` `exp-1-e_binary64_13761` `exp-0_binary64_13760` `rem-log-exp_binary64_13759` `rem-exp-log_binary64_13758` `cube-neg_binary64_13745` `rem-3cbrt-rft_binary64_13744` `sqr-abs_binary64_13733` `sqr-neg_binary64_13732` `remove-double-neg_binary64_13706` `--rgt-identity_binary64_13704` `+-rgt-identity_binary64_13703` `+-lft-identity_binary64_13702` `mul0-rgt_binary64_13701` `mul0-lft_binary64_13700` `div0_binary64_13699` `*-inverses_binary64_13698` `+-inverses_binary64_13697` `lft-mult-inverse_binary64_13696` `rgt-mult-inverse_binary64_13695` `remove-double-div_binary64_13694` `difference-of-sqr--1_binary64_13689` `difference-of-sqr-1_binary64_13688` `cancel-sign-sub_binary64_13683` `distribute-frac-neg_binary64_13681` `distribute-neg-out_binary64_13680` `distribute-lft1-in_binary64_13673` `associate--r-_binary64_13657` `associate--l-_binary64_13656` `associate-+r+_binary64_13650`

Counts

204 → 145

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	198	3477
1	511	3264
2	1564	3127
3	5540	3127

prune116.0ms (2.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	144	3	147

Error

0b

Counts

147 → 3

Compiler

Compiled 2041 to 773 computations (62.1% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (/.f64 x (+.f64 x y)) 2)
0.1b	(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 2)) (cbrt.f64 (/.f64 x (+.f64 x y))))
7.9b	(cbrt.f64 (/.f64 x (+.f64 x y)))
13.4b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 2))

rewrite260.0ms (6.4%)

Algorithm

1×	rewrite-expression-head

Error

0b

Rules

111×	`cbrt-prod_binary64_13749`
88×	`add-sqr-sqrt_binary64_13740`
79×	`*-un-lft-identity_binary64_13718`
69×	`times-frac_binary64_13724`
60×	`unpow-prod-down_binary64_13797`
49×	`add-cube-cbrt_binary64_13753`
26×	`associate-l_binary64_13659`
21×	`associate-r_binary64_13658`
18×	`unswap-sqr_binary64_13686`
15×	`distribute-lft-out_binary64_13669`
10×	`associate-/r/_binary64_13664`
9×	`add-exp-log_binary64_13756`
8×	`unpow2_binary64_13783`
7×	`pow1_binary64_13779`
6×	`sqr-pow_binary64_13690`
5×	`div-inv_binary64_13715` `flip3-+_binary64_13721` `flip-+_binary64_13692`
4×	`pow1/3_binary64_13800` `add-log-exp_binary64_13757` `add-cbrt-cube_binary64_13754`
3×	`pow-unpow_binary64_13795`
2×	`cbrt-div_binary64_13750` `pow-prod-down_binary64_13789` `pow-exp_binary64_13786`
1×	`pow3_binary64_13801` `prod-exp_binary64_13767` `cbrt-unprod_binary64_13751` `rem-3cbrt-lft_binary64_13743` `associate-r/_binary64_13660` `-commutative_binary64_13649` `pow-pow_binary64_13790` `pow-to-exp_binary64_13787` `div-exp_binary64_13769`

Counts

4 → 172

Calls

4 calls:

29.0ms	(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 2)) (cbrt.f64 (/.f64 x (+.f64 x y))))
8.0ms	(pow.f64 (/.f64 x (+.f64 x y)) 2)
7.0ms	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 2))
5.0ms	(cbrt.f64 (/.f64 x (+.f64 x y)))

Compiler

Compiled 4407 to 1438 computations (67.4% saved)

series809.0ms (20%)

Error

0b

Counts

4 → 79

Calls

4 calls:

276.0ms	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 2))
179.0ms	(cbrt.f64 (/.f64 x (+.f64 x y)))
140.0ms	(pow.f64 (/.f64 x (+.f64 x y)) 2)
119.0ms	(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 2)) (cbrt.f64 (/.f64 x (+.f64 x y))))

Compiler

Compiled 4288 to 3151 computations (26.5% saved)

simplify243.0ms (6%)

Algorithm

1×	egg-herbie

Rules

521×	`times-frac_binary64_13724`
494×	`associate-/l*_binary64_13663`
209×	`cancel-sign-sub-inv_binary64_13684`
151×	`associate-/r/_binary64_13664`
142×	`unswap-sqr_binary64_13686`
135×	`*-commutative_binary64_13649`
129×	`sqr-pow_binary64_13690`
117×	`associate-r_binary64_13658`
110×	`sub-neg_binary64_13711`
99×	`associate-l_binary64_13659`
93×	`log-prod_binary64_13804` `distribute-rgt-neg-in_binary64_13676`
88×	`distribute-lft-neg-in_binary64_13675`
73×	`+-commutative_binary64_13648`
72×	`distribute-neg-frac_binary64_13682`
70×	`distribute-rgt-in_binary64_13668`
65×	`exp-prod_binary64_13770`
63×	`associate-*r/_binary64_13660`
57×	`log-pow_binary64_13807`
53×	`associate-*l/_binary64_13661`
52×	`associate-/l/_binary64_13665`
47×	`distribute-lft-in_binary64_13667`
46×	`neg-sub0_binary64_13713`
44×	`neg-mul-1_binary64_13714`
43×	`associate-/r*_binary64_13662`
41×	`associate--l+_binary64_13655`
30×	`unsub-neg_binary64_13712`
27×	`unpow2_binary64_13783` `unpow1/2_binary64_13782`
26×	`unpow1_binary64_13776` `*-rgt-identity_binary64_13708` `swap-sqr_binary64_13685`
25×	`exp-sum_binary64_13764`
24×	`pow-plus_binary64_13781`
23×	`*-lft-identity_binary64_13707`
22×	`cube-prod_binary64_13746` `associate--r+_binary64_13654`
19×	`pow-sqr_binary64_13691`
18×	`unpow1/3_binary64_13785` `unpow3_binary64_13784`
15×	`log-div_binary64_13805` `distribute-lft-neg-out_binary64_13677` `associate-+l+_binary64_13651`
14×	`distribute-rgt-out_binary64_13671`
11×	`distribute-neg-in_binary64_13679`
10×	`cube-unmult_binary64_13755` `distribute-rgt-neg-out_binary64_13678`
9×	`exp-to-pow_binary64_13780` `div-sub_binary64_13723`
8×	`exp-diff_binary64_13766`
6×	`distribute-rgt-out--_binary64_13672`
4×	`exp-neg_binary64_13765` `cube-div_binary64_13747` `rem-sqrt-square_binary64_13731` `difference-of-squares_binary64_13687` `associate-+l-_binary64_13653` `associate-+r-_binary64_13652`
3×	`exp-lft-sqr_binary64_13773` `cube-mult_binary64_13748` `rem-3cbrt-lft_binary64_13743` `/-rgt-identity_binary64_13709` `distribute-rgt1-in_binary64_13674` `distribute-lft-out_binary64_13669`
2×	`log-rec_binary64_13806` `rem-square-sqrt_binary64_13730` `mul-1-neg_binary64_13710` `distribute-lft-out--_binary64_13670`
1×	`1-exp_binary64_13762` `exp-1-e_binary64_13761` `rem-3cbrt-rft_binary64_13744` `associate-+r+_binary64_13650`
0×	`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_13981` `erf-erfc_binary64_13980` `erf-odd_binary64_13979` `if-if-and-not_binary64_13978` `if-if-and_binary64_13977` `if-if-or-not_binary64_13976` `if-if-or_binary64_13975` `if-not_binary64_13974` `if-same_binary64_13973` `if-false_binary64_13972` `if-true_binary64_13971` `not-gte_binary64_13970` `not-lte_binary64_13969` `not-gt_binary64_13968` `not-lt_binary64_13967` `gte-same_binary64_13966` `lte-same_binary64_13965` `gt-same_binary64_13964` `lt-same_binary64_13963` `sinh---cosh_binary64_13910` `sinh-+-cosh_binary64_13909` `sinh-cosh_binary64_13908` `tanh-def-c_binary64_13907` `tanh-def-b_binary64_13906` `tanh-def-a_binary64_13905` `cosh-def_binary64_13904` `sinh-def_binary64_13903` `tan-neg_binary64_13850` `cos-neg_binary64_13849` `sin-neg_binary64_13848` `tan-0_binary64_13847` `cos-0_binary64_13846` `sin-0_binary64_13845` `hang-m-tan_binary64_13844` `hang-p-tan_binary64_13843` `hang-m0-tan_binary64_13842` `hang-p0-tan_binary64_13841` `hang-0m-tan_binary64_13840` `hang-0p-tan_binary64_13839` `tan-+PI/2_binary64_13838` `tan-+PI_binary64_13837` `tan-PI_binary64_13836` `tan-PI/3_binary64_13835` `tan-PI/4_binary64_13834` `tan-PI/6_binary64_13833` `cos-+PI/2_binary64_13832` `cos-+PI_binary64_13831` `cos-PI_binary64_13830` `cos-PI/2_binary64_13829` `cos-PI/3_binary64_13828` `cos-PI/4_binary64_13827` `cos-PI/6_binary64_13826` `sin-+PI/2_binary64_13825` `sin-+PI_binary64_13824` `sin-PI_binary64_13823` `sin-PI/2_binary64_13822` `sin-PI/3_binary64_13821` `sin-PI/4_binary64_13820` `sin-PI/6_binary64_13819` `sub-1-sin_binary64_13818` `sub-1-cos_binary64_13817` `-1-add-sin_binary64_13816` `-1-add-cos_binary64_13815` `1-sub-sin_binary64_13814` `1-sub-cos_binary64_13813` `cos-sin-sum_binary64_13812` `log-E_binary64_13808` `pow-base-0_binary64_13802` `pow-base-1_binary64_13778` `unpow0_binary64_13777` `unpow-1_binary64_13775` `exp-lft-cube_binary64_13774` `exp-cbrt_binary64_13772` `exp-sqrt_binary64_13771` `div-exp_binary64_13769` `rec-exp_binary64_13768` `prod-exp_binary64_13767` `e-exp-1_binary64_13763` `exp-0_binary64_13760` `rem-log-exp_binary64_13759` `rem-exp-log_binary64_13758` `cube-neg_binary64_13745` `rem-cbrt-cube_binary64_13742` `rem-cube-cbrt_binary64_13741` `sqr-abs_binary64_13733` `sqr-neg_binary64_13732` `remove-double-neg_binary64_13706` `sub0-neg_binary64_13705` `--rgt-identity_binary64_13704` `+-rgt-identity_binary64_13703` `+-lft-identity_binary64_13702` `mul0-rgt_binary64_13701` `mul0-lft_binary64_13700` `div0_binary64_13699` `*-inverses_binary64_13698` `+-inverses_binary64_13697` `lft-mult-inverse_binary64_13696` `rgt-mult-inverse_binary64_13695` `remove-double-div_binary64_13694` `difference-of-sqr--1_binary64_13689` `difference-of-sqr-1_binary64_13688` `cancel-sign-sub_binary64_13683` `distribute-frac-neg_binary64_13681` `distribute-neg-out_binary64_13680` `distribute-lft1-in_binary64_13673` `count-2_binary64_13666` `associate--r-_binary64_13657` `associate--l-_binary64_13656`

Counts

251 → 211

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	350	6294
1	809	5916
2	1980	5718
3	4852	5601
4	4976	5601
5	4959	5601

prune229.0ms (5.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	211	0	211
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	211	3	214

Error

0b

Counts

214 → 3

Compiler

Compiled 5089 to 1772 computations (65.2% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (/.f64 (neg.f64 x) y) 1)
0.1b	(*.f64 (+.f64 (/.f64 (neg.f64 x) y) 1) (/.f64 x y))

rewrite86.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0b

Rules

15×	`add-sqr-sqrt_binary64_13740`
14×	`*-un-lft-identity_binary64_13718`
13×	`associate-r_binary64_13658`
10×	`add-cube-cbrt_binary64_13753` `times-frac_binary64_13724`
7×	`add-exp-log_binary64_13756` `add-cbrt-cube_binary64_13754`
4×	`pow1_binary64_13779` `add-log-exp_binary64_13757` `associate-l_binary64_13659`
3×	`flip3-+_binary64_13721` `flip-+_binary64_13692`
2×	`prod-exp_binary64_13767` `cbrt-unprod_binary64_13751` `frac-times_binary64_13728` `unswap-sqr_binary64_13686` `associate-*l/_binary64_13661` `distribute-lft-out_binary64_13669`
1×	`pow-prod-down_binary64_13789` `div-exp_binary64_13769` `cbrt-undiv_binary64_13752` `associate-r/_binary64_13660` `div-inv_binary64_13715` `-commutative_binary64_13649` `sum-log_binary64_13809` `neg-sub0_binary64_13713` `div-sub_binary64_13723` `associate-+l-_binary64_13653` `+-commutative_binary64_13648`

Counts

2 → 50

Calls

2 calls:

20.0ms	(*.f64 (+.f64 (/.f64 (neg.f64 x) y) 1) (/.f64 x y))
13.0ms	(+.f64 (/.f64 (neg.f64 x) y) 1)

Compiler

Compiled 959 to 389 computations (59.4% saved)

series301.0ms (7.4%)

Error

0b

Counts

2 → 24

Calls

2 calls:

205.0ms	(*.f64 (+.f64 (/.f64 (neg.f64 x) y) 1) (/.f64 x y))
81.0ms	(+.f64 (/.f64 (neg.f64 x) y) 1)

Compiler

Compiled 516 to 342 computations (33.7% saved)

simplify93.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

369×	`unsub-neg_binary64_13712`
354×	`sub-neg_binary64_13711`
341×	`div-sub_binary64_13723`
298×	`associate-*l/_binary64_13661`
297×	`associate-*r/_binary64_13660`
264×	`distribute-rgt-in_binary64_13668`
248×	`distribute-lft-in_binary64_13667`
241×	`associate-/l*_binary64_13663`
229×	`times-frac_binary64_13724`
158×	`neg-sub0_binary64_13713`
156×	`unswap-sqr_binary64_13686`
153×	`*-commutative_binary64_13649`
134×	`neg-mul-1_binary64_13714`
112×	`associate-/r*_binary64_13662`
94×	`exp-prod_binary64_13770`
92×	`cube-prod_binary64_13746` `distribute-rgt-neg-out_binary64_13678`
90×	`log-prod_binary64_13804`
87×	`associate-l_binary64_13659`
68×	`distribute-lft-neg-out_binary64_13677`
65×	`cube-div_binary64_13747` `associate-/l/_binary64_13665` `associate-r_binary64_13658`
64×	`log-div_binary64_13805`
57×	`-rgt-identity_binary64_13708` `-lft-identity_binary64_13707` `sqr-pow_binary64_13690`
52×	`associate-/r/_binary64_13664`
36×	`exp-diff_binary64_13766`
30×	`unpow3_binary64_13784` `remove-double-neg_binary64_13706`
25×	`associate-+l+_binary64_13651`
24×	`+-commutative_binary64_13648`
23×	`exp-sum_binary64_13764`
22×	`cube-mult_binary64_13748` `mul-1-neg_binary64_13710`
21×	`associate-+r+_binary64_13650`
19×	`cancel-sign-sub-inv_binary64_13684` `distribute-neg-frac_binary64_13682`
18×	`/-rgt-identity_binary64_13709`
17×	`associate-+r-_binary64_13652`
15×	`distribute-rgt-neg-in_binary64_13676`
14×	`associate-+l-_binary64_13653`
12×	`distribute-rgt-out_binary64_13671`
10×	`cube-neg_binary64_13745` `distribute-frac-neg_binary64_13681` `distribute-lft-neg-in_binary64_13675`
9×	`cube-unmult_binary64_13755` `rem-sqrt-square_binary64_13731` `+-rgt-identity_binary64_13703`
8×	`pow-sqr_binary64_13691` `difference-of-squares_binary64_13687`
7×	`log-rec_binary64_13806` `mul0-rgt_binary64_13701` `mul0-lft_binary64_13700` `swap-sqr_binary64_13685` `distribute-rgt1-in_binary64_13674` `distribute-rgt-out--_binary64_13672`
6×	`log-pow_binary64_13807` `unpow1/2_binary64_13782` `pow-plus_binary64_13781` `sqr-neg_binary64_13732` `div0_binary64_13699`
5×	`distribute-neg-in_binary64_13679`
4×	`remove-double-div_binary64_13694` `distribute-lft1-in_binary64_13673` `associate--l-_binary64_13656`
3×	`sub0-neg_binary64_13705` `distribute-neg-out_binary64_13680` `associate--l+_binary64_13655`
2×	`unpow2_binary64_13783` `unpow1_binary64_13776` `exp-neg_binary64_13765` `--rgt-identity_binary64_13704` `difference-of-sqr--1_binary64_13689` `associate--r-_binary64_13657` `associate--r+_binary64_13654`
1×	`prod-exp_binary64_13767` `1-exp_binary64_13762` `exp-1-e_binary64_13761` `difference-of-sqr-1_binary64_13688` `distribute-lft-out_binary64_13669`
0×	`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_13981` `erf-erfc_binary64_13980` `erf-odd_binary64_13979` `if-if-and-not_binary64_13978` `if-if-and_binary64_13977` `if-if-or-not_binary64_13976` `if-if-or_binary64_13975` `if-not_binary64_13974` `if-same_binary64_13973` `if-false_binary64_13972` `if-true_binary64_13971` `not-gte_binary64_13970` `not-lte_binary64_13969` `not-gt_binary64_13968` `not-lt_binary64_13967` `gte-same_binary64_13966` `lte-same_binary64_13965` `gt-same_binary64_13964` `lt-same_binary64_13963` `sinh---cosh_binary64_13910` `sinh-+-cosh_binary64_13909` `sinh-cosh_binary64_13908` `tanh-def-c_binary64_13907` `tanh-def-b_binary64_13906` `tanh-def-a_binary64_13905` `cosh-def_binary64_13904` `sinh-def_binary64_13903` `tan-neg_binary64_13850` `cos-neg_binary64_13849` `sin-neg_binary64_13848` `tan-0_binary64_13847` `cos-0_binary64_13846` `sin-0_binary64_13845` `hang-m-tan_binary64_13844` `hang-p-tan_binary64_13843` `hang-m0-tan_binary64_13842` `hang-p0-tan_binary64_13841` `hang-0m-tan_binary64_13840` `hang-0p-tan_binary64_13839` `tan-+PI/2_binary64_13838` `tan-+PI_binary64_13837` `tan-PI_binary64_13836` `tan-PI/3_binary64_13835` `tan-PI/4_binary64_13834` `tan-PI/6_binary64_13833` `cos-+PI/2_binary64_13832` `cos-+PI_binary64_13831` `cos-PI_binary64_13830` `cos-PI/2_binary64_13829` `cos-PI/3_binary64_13828` `cos-PI/4_binary64_13827` `cos-PI/6_binary64_13826` `sin-+PI/2_binary64_13825` `sin-+PI_binary64_13824` `sin-PI_binary64_13823` `sin-PI/2_binary64_13822` `sin-PI/3_binary64_13821` `sin-PI/4_binary64_13820` `sin-PI/6_binary64_13819` `sub-1-sin_binary64_13818` `sub-1-cos_binary64_13817` `-1-add-sin_binary64_13816` `-1-add-cos_binary64_13815` `1-sub-sin_binary64_13814` `1-sub-cos_binary64_13813` `cos-sin-sum_binary64_13812` `log-E_binary64_13808` `pow-base-0_binary64_13802` `unpow1/3_binary64_13785` `exp-to-pow_binary64_13780` `pow-base-1_binary64_13778` `unpow0_binary64_13777` `unpow-1_binary64_13775` `exp-lft-cube_binary64_13774` `exp-lft-sqr_binary64_13773` `exp-cbrt_binary64_13772` `exp-sqrt_binary64_13771` `div-exp_binary64_13769` `rec-exp_binary64_13768` `e-exp-1_binary64_13763` `exp-0_binary64_13760` `rem-log-exp_binary64_13759` `rem-exp-log_binary64_13758` `rem-3cbrt-rft_binary64_13744` `rem-3cbrt-lft_binary64_13743` `rem-cbrt-cube_binary64_13742` `rem-cube-cbrt_binary64_13741` `sqr-abs_binary64_13733` `rem-square-sqrt_binary64_13730` `+-lft-identity_binary64_13702` `*-inverses_binary64_13698` `+-inverses_binary64_13697` `lft-mult-inverse_binary64_13696` `rgt-mult-inverse_binary64_13695` `cancel-sign-sub_binary64_13683` `distribute-lft-out--_binary64_13670` `count-2_binary64_13666`

Counts

74 → 56

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	102	1133
1	254	1008
2	882	961
3	3169	958
4	4362	958
5	5181	958

prune44.0ms (1.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	56	3	59

Error

0b

Counts

59 → 3

Compiler

Compiled 809 to 324 computations (60% saved)

regimes87.0ms (2.1%)

Accuracy

Total 0.0b remaining (92.2%)

Threshold costs 0.0b (92.2%)

Compiler

Compiled 518 to 373 computations (28% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1× +-commutative_binary64_13648

0× 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_13978 if-if-and_binary64_13977 if-if-or-not_binary64_13976 if-if-or_binary64_13975 if-not_binary64_13974 if-same_binary64_13973 if-false_binary64_13972 if-true_binary64_13971 tan-0_binary64_13847 cos-0_binary64_13846 sin-0_binary64_13845 unpow1_binary64_13776 e-exp-1_binary64_13763 1-exp_binary64_13762 exp-1-e_binary64_13761 exp-0_binary64_13760 sqr-abs_binary64_13733 sqr-neg_binary64_13732 neg-mul-1_binary64_13714 neg-sub0_binary64_13713 unsub-neg_binary64_13712 sub-neg_binary64_13711 mul-1-neg_binary64_13710 /-rgt-identity_binary64_13709 *-rgt-identity_binary64_13708 *-lft-identity_binary64_13707 remove-double-neg_binary64_13706 sub0-neg_binary64_13705 --rgt-identity_binary64_13704 +-rgt-identity_binary64_13703 +-lft-identity_binary64_13702 cancel-sign-sub-inv_binary64_13684 cancel-sign-sub_binary64_13683 distribute-neg-frac_binary64_13682 distribute-frac-neg_binary64_13681 distribute-neg-out_binary64_13680 distribute-neg-in_binary64_13679 distribute-rgt-neg-out_binary64_13678 distribute-lft-neg-out_binary64_13677 distribute-rgt-neg-in_binary64_13676 distribute-lft-neg-in_binary64_13675 *-commutative_binary64_13649

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7
2	6	7

end0.0ms (0%)

sample591.0ms (14.6%)

Algorithm

1×

intervals

Results

161.0ms

8000×

body

128

valid

Compiler

Compiled 179 to 130 computations (27.4% saved)

Details

analyze182.0ms (4.5%)

sample13.0ms (0.3%)

simplify9.0ms (0.2%)

prune1.0ms (0%)

localize3.0ms (0.1%)

rewrite36.0ms (0.9%)

series118.0ms (2.9%)

simplify70.0ms (1.7%)

prune19.0ms (0.5%)

localize8.0ms (0.2%)

rewrite173.0ms (4.3%)

series427.0ms (10.5%)

simplify109.0ms (2.7%)

prune116.0ms (2.9%)

localize9.0ms (0.2%)

rewrite260.0ms (6.4%)

series809.0ms (20%)

simplify243.0ms (6%)

prune229.0ms (5.7%)

localize7.0ms (0.2%)

rewrite86.0ms (2.1%)

series301.0ms (7.4%)

simplify93.0ms (2.3%)

prune44.0ms (1.1%)

regimes87.0ms (2.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample591.0ms (14.6%)

Profiling