Details

analyze3.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
75%	25%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample11.0ms (0.1%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify154.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1× 1-exp_binary64_13762 +-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 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	6	7
1	9	7

prune3.0ms (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 5 computations (0% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (/.f64 1 3))

rewrite22.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

4×	`*-un-lft-identity_binary64_13718`
3×	`add-log-exp_binary64_13757`
2×	`distribute-lft-out_binary64_13669`
1×	`sum-log_binary64_13809` `pow1_binary64_13779` `add-exp-log_binary64_13756` `add-cbrt-cube_binary64_13754` `add-cube-cbrt_binary64_13753` `add-sqr-sqrt_binary64_13740` `flip3-+_binary64_13721` `flip-+_binary64_13692` `div-inv_binary64_13715` `+-commutative_binary64_13648`

Counts

1 → 13

Calls

1 calls:

7.0ms

(+.f64 x (/.f64 1 3))

Compiler

Compiled 150 to 127 computations (15.3% saved)

series28.0ms (0.2%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

23.0ms

(+.f64 x (/.f64 1 3))

Compiler

Compiled 33 to 30 computations (9.1% saved)

simplify190.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

482×	`distribute-rgt-out--_binary64_13672`
357×	`associate-/l*_binary64_13663`
308×	`distribute-rgt-in_binary64_13668`
273×	`associate-+l+_binary64_13651`
241×	`associate-/l/_binary64_13665` `associate-/r*_binary64_13662`
236×	`associate-*l/_binary64_13661`
208×	`associate-+r+_binary64_13650`
198×	`associate-*r/_binary64_13660`
195×	`distribute-lft-in_binary64_13667`
171×	`associate-/r/_binary64_13664`
141×	`associate-l_binary64_13659`
129×	`associate-+l-_binary64_13653`
125×	`distribute-rgt-out_binary64_13671`
121×	`sub-neg_binary64_13711`
111×	`unsub-neg_binary64_13712`
110×	`associate-r_binary64_13658`
103×	`sqr-pow_binary64_13690`
81×	`associate--r+_binary64_13654`
76×	`unswap-sqr_binary64_13686`
74×	`pow-sqr_binary64_13691`
53×	`cancel-sign-sub-inv_binary64_13684`
51×	`*-rgt-identity_binary64_13708`
48×	`div-sub_binary64_13723` `distribute-lft-neg-out_binary64_13677`
42×	`associate--l+_binary64_13655`
41×	`associate--l-_binary64_13656`
40×	`*-commutative_binary64_13649`
37×	`+-commutative_binary64_13648`
34×	`pow-plus_binary64_13781` `distribute-rgt-neg-out_binary64_13678`
33×	`distribute-rgt-neg-in_binary64_13676`
31×	`exp-prod_binary64_13770`
30×	`distribute-neg-in_binary64_13679`
29×	`log-pow_binary64_13807`
28×	`distribute-lft-neg-in_binary64_13675` `distribute-rgt1-in_binary64_13674`
27×	`distribute-lft-out--_binary64_13670` `associate--r-_binary64_13657`
25×	`times-frac_binary64_13724` `swap-sqr_binary64_13685`
24×	`cube-prod_binary64_13746` `*-lft-identity_binary64_13707` `cancel-sign-sub_binary64_13683`
23×	`neg-mul-1_binary64_13714`
22×	`sub0-neg_binary64_13705` `distribute-neg-out_binary64_13680`
19×	`associate-+r-_binary64_13652`
18×	`neg-sub0_binary64_13713` `mul0-lft_binary64_13700`
17×	`mul0-rgt_binary64_13701`
16×	`distribute-neg-frac_binary64_13682`
12×	`exp-sum_binary64_13764` `cube-unmult_binary64_13755` `distribute-lft-out_binary64_13669`
11×	`log-prod_binary64_13804` `pow-base-1_binary64_13778`
10×	`+-rgt-identity_binary64_13703`
7×	`cube-div_binary64_13747` `count-2_binary64_13666`
6×	`distribute-frac-neg_binary64_13681`
5×	`exp-to-pow_binary64_13780` `prod-exp_binary64_13767` `/-rgt-identity_binary64_13709`
4×	`unpow3_binary64_13784` `cube-mult_binary64_13748` `remove-double-neg_binary64_13706`
3×	`exp-diff_binary64_13766` `--rgt-identity_binary64_13704` `+-lft-identity_binary64_13702` `div0_binary64_13699` `difference-of-squares_binary64_13687`
2×	`exp-cbrt_binary64_13772` `distribute-lft1-in_binary64_13673`
1×	`log-div_binary64_13805` `exp-lft-sqr_binary64_13773` `exp-sqrt_binary64_13771` `1-exp_binary64_13762` `exp-1-e_binary64_13761` `rem-log-exp_binary64_13759` `cube-neg_binary64_13745` `sqr-neg_binary64_13732` `*-inverses_binary64_13698` `+-inverses_binary64_13697` `rgt-mult-inverse_binary64_13695` `difference-of-sqr--1_binary64_13689`
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` `unpow2_binary64_13783` `unpow1/2_binary64_13782` `unpow0_binary64_13777` `unpow1_binary64_13776` `unpow-1_binary64_13775` `exp-lft-cube_binary64_13774` `div-exp_binary64_13769` `rec-exp_binary64_13768` `exp-neg_binary64_13765` `e-exp-1_binary64_13763` `exp-0_binary64_13760` `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-sqrt-square_binary64_13731` `rem-square-sqrt_binary64_13730` `mul-1-neg_binary64_13710` `lft-mult-inverse_binary64_13696` `remove-double-div_binary64_13694` `difference-of-sqr-1_binary64_13688`

Counts

19 → 24

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	183
1	86	165
2	192	162
3	398	162
4	860	162
5	2181	162

prune27.0ms (0.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Error

0.0b

Counts

25 → 2

Compiler

Compiled 379 to 292 computations (23% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x x) (-.f64 (.f64 (/.f64 1 3) (/.f64 1 3)) (*.f64 x (/.f64 1 3))))
0.0b	(-.f64 (.f64 (/.f64 1 3) (/.f64 1 3)) (.f64 x (/.f64 1 3)))
0.3b	(*.f64 x (/.f64 1 3))
21.6b	(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 3 3))) (+.f64 (.f64 x x) (-.f64 (.f64 (/.f64 1 3) (/.f64 1 3)) (*.f64 x (/.f64 1 3)))))

rewrite399.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

35×	`*-un-lft-identity_binary64_13718`
29×	`add-sqr-sqrt_binary64_13740`
26×	`times-frac_binary64_13724`
22×	`add-cube-cbrt_binary64_13753`
15×	`add-exp-log_binary64_13756`
13×	`associate-r_binary64_13658`
12×	`un-div-inv_binary64_13716` `associate-*r/_binary64_13660`
11×	`add-log-exp_binary64_13757` `add-cbrt-cube_binary64_13754`
8×	`distribute-lft-out_binary64_13669` `frac-sub_binary64_13727`
6×	`pow1_binary64_13779` `div-inv_binary64_13715` `sub-div_binary64_13725`
5×	`associate-/l*_binary64_13663`
4×	`prod-exp_binary64_13767` `associate-*l/_binary64_13661`
3×	`div-exp_binary64_13769` `flip3-+_binary64_13721` `flip-+_binary64_13692` `associate-/r_binary64_13662` `unswap-sqr_binary64_13686` `associate-l*_binary64_13659`
2×	`cbrt-undiv_binary64_13752` `associate-/l/_binary64_13665` `associate-/r/_binary64_13664` `cbrt-unprod_binary64_13751` `diff-log_binary64_13810` `frac-times_binary64_13728` `sub-neg_binary64_13711` `cancel-sign-sub-inv_binary64_13684` `sum-log_binary64_13809` `associate-+r+_binary64_13650`
1×	`frac-2neg_binary64_13729` `clear-num_binary64_13717` `pow-prod-down_binary64_13789` `1-exp_binary64_13762` `rec-exp_binary64_13768` `*-commutative_binary64_13649` `flip3--_binary64_13722` `flip--_binary64_13693` `distribute-rgt-out--_binary64_13672` `associate-+r-_binary64_13652` `+-commutative_binary64_13648`

Counts

4 → 117

Calls

4 calls:

41.0ms	(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 3 3))) (+.f64 (.f64 x x) (-.f64 (.f64 (/.f64 1 3) (/.f64 1 3)) (*.f64 x (/.f64 1 3)))))
18.0ms	(+.f64 (.f64 x x) (-.f64 (.f64 (/.f64 1 3) (/.f64 1 3)) (*.f64 x (/.f64 1 3))))
10.0ms	(-.f64 (.f64 (/.f64 1 3) (/.f64 1 3)) (.f64 x (/.f64 1 3)))
8.0ms	(*.f64 x (/.f64 1 3))

Compiler

Compiled 4651 to 3839 computations (17.5% saved)

series333.0ms (2.5%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

131.0ms	(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 3 3))) (+.f64 (.f64 x x) (-.f64 (.f64 (/.f64 1 3) (/.f64 1 3)) (*.f64 x (/.f64 1 3)))))
97.0ms	(+.f64 (.f64 x x) (-.f64 (.f64 (/.f64 1 3) (/.f64 1 3)) (*.f64 x (/.f64 1 3))))
52.0ms	(-.f64 (.f64 (/.f64 1 3) (/.f64 1 3)) (.f64 x (/.f64 1 3)))
28.0ms	(*.f64 x (/.f64 1 3))

Compiler

Compiled 870 to 739 computations (15.1% saved)

simplify794.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

496×	`associate-/r/_binary64_13664`
377×	`distribute-rgt-in_binary64_13668`
349×	`distribute-lft-in_binary64_13667`
226×	`cancel-sign-sub-inv_binary64_13684`
160×	`distribute-rgt-neg-in_binary64_13676`
143×	`associate-l_binary64_13659`
129×	`associate-r_binary64_13658`
123×	`distribute-lft-neg-in_binary64_13675`
116×	`distribute-rgt-out_binary64_13671`
100×	`times-frac_binary64_13724`
92×	`associate-/l*_binary64_13663`
85×	`unswap-sqr_binary64_13686`
79×	`associate-*l/_binary64_13661`
77×	`sub-neg_binary64_13711`
76×	`associate-*r/_binary64_13660`
66×	`*-commutative_binary64_13649`
60×	`distribute-neg-frac_binary64_13682` `distribute-rgt-out--_binary64_13672`
59×	`associate--l+_binary64_13655`
56×	`associate-/l/_binary64_13665`
52×	`sqr-pow_binary64_13690`
47×	`distribute-lft-out_binary64_13669` `associate--l-_binary64_13656`
44×	`exp-prod_binary64_13770` `cube-prod_binary64_13746` `associate-+l-_binary64_13653`
43×	`associate-/r*_binary64_13662`
38×	`log-prod_binary64_13804`
36×	`swap-sqr_binary64_13685`
33×	`neg-mul-1_binary64_13714` `*-rgt-identity_binary64_13708` `associate-+r-_binary64_13652`
32×	`neg-sub0_binary64_13713` `+-commutative_binary64_13648`
31×	`cube-div_binary64_13747`
30×	`distribute-lft-neg-out_binary64_13677`
29×	`div-sub_binary64_13723`
28×	`associate--r+_binary64_13654`
27×	`log-div_binary64_13805`
25×	`pow-sqr_binary64_13691`
22×	`distribute-lft-out--_binary64_13670`
19×	`distribute-neg-in_binary64_13679`
17×	`/-rgt-identity_binary64_13709` `difference-of-squares_binary64_13687`
16×	`*-lft-identity_binary64_13707` `distribute-rgt-neg-out_binary64_13678`
15×	`pow-plus_binary64_13781`
9×	`unpow3_binary64_13784` `exp-cbrt_binary64_13772`
8×	`exp-sum_binary64_13764`
7×	`cube-mult_binary64_13748` `unsub-neg_binary64_13712` `associate--r-_binary64_13657`
6×	`distribute-rgt1-in_binary64_13674` `associate-+l+_binary64_13651`
5×	`cube-unmult_binary64_13755`
4×	`log-rec_binary64_13806` `exp-lft-cube_binary64_13774` `exp-diff_binary64_13766` `distribute-neg-out_binary64_13680`
3×	`div-exp_binary64_13769` `prod-exp_binary64_13767`
2×	`sub0-neg_binary64_13705` `+-rgt-identity_binary64_13703` `associate-+r+_binary64_13650`
1×	`log-pow_binary64_13807` `unpow2_binary64_13783` `unpow1_binary64_13776` `exp-sqrt_binary64_13771` `rec-exp_binary64_13768` `1-exp_binary64_13762` `exp-1-e_binary64_13761` `rem-log-exp_binary64_13759` `rem-cbrt-cube_binary64_13742` `rem-sqrt-square_binary64_13731` `remove-double-neg_binary64_13706` `*-inverses_binary64_13698` `lft-mult-inverse_binary64_13696` `remove-double-div_binary64_13694` `distribute-lft1-in_binary64_13673` `count-2_binary64_13666`
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` `unpow1/2_binary64_13782` `exp-to-pow_binary64_13780` `pow-base-1_binary64_13778` `unpow0_binary64_13777` `unpow-1_binary64_13775` `exp-lft-sqr_binary64_13773` `exp-neg_binary64_13765` `e-exp-1_binary64_13763` `exp-0_binary64_13760` `rem-exp-log_binary64_13758` `cube-neg_binary64_13745` `rem-3cbrt-rft_binary64_13744` `rem-3cbrt-lft_binary64_13743` `rem-cube-cbrt_binary64_13741` `sqr-abs_binary64_13733` `sqr-neg_binary64_13732` `rem-square-sqrt_binary64_13730` `mul-1-neg_binary64_13710` `--rgt-identity_binary64_13704` `+-lft-identity_binary64_13702` `mul0-rgt_binary64_13701` `mul0-lft_binary64_13700` `div0_binary64_13699` `+-inverses_binary64_13697` `rgt-mult-inverse_binary64_13695` `difference-of-sqr--1_binary64_13689` `difference-of-sqr-1_binary64_13688` `cancel-sign-sub_binary64_13683` `distribute-frac-neg_binary64_13681`

Counts

141 → 367

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	205	3357
1	488	2882
2	1835	2836

prune1.7s (12.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	366	1	367
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	367	2	369

Error

Counts

369 → 2

Compiler

Compiled 14871 to 11941 computations (19.7% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.2b	(sqrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 3 3))))
4.2b	(sqrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 3 3))))
4.5b	(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 3 3)))) 1) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 3 3)))) (+.f64 (.f64 x x) (-.f64 (/.f64 (/.f64 1 3) 3) (/.f64 x 3)))))
8.1b	(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 3 3)))) (+.f64 (*.f64 x x) (-.f64 (/.f64 (/.f64 1 3) 3) (/.f64 x 3))))

rewrite1.4s (11%)

Algorithm

1×	rewrite-expression-head

Error

Rules

101×	`add-sqr-sqrt_binary64_13740`
95×	`*-un-lft-identity_binary64_13718`
94×	`times-frac_binary64_13724`
71×	`sqrt-prod_binary64_13734`
53×	`add-cube-cbrt_binary64_13753`
30×	`associate-r_binary64_13658`
28×	`associate-l_binary64_13659`
24×	`distribute-lft-out_binary64_13669`
23×	`add-exp-log_binary64_13756`
18×	`add-cbrt-cube_binary64_13754`
15×	`div-inv_binary64_13715` `unswap-sqr_binary64_13686`
8×	`pow1_binary64_13779` `div-exp_binary64_13769` `associate-/l*_binary64_13663`
6×	`sqrt-div_binary64_13735` `prod-exp_binary64_13767`
5×	`cbrt-undiv_binary64_13752` `flip3-+_binary64_13721` `flip-+_binary64_13692`
4×	`add-log-exp_binary64_13757` `associate-/r/_binary64_13664` `cbrt-unprod_binary64_13751`
3×	`associate-/r*_binary64_13662`
2×	`associate-/l/_binary64_13665` `1-exp_binary64_13762` `pow1/2_binary64_13798` `sqrt-pow1_binary64_13736` `rem-sqrt-square_binary64_13731`
1×	`frac-2neg_binary64_13729` `clear-num_binary64_13717` `pow-prod-down_binary64_13789` `frac-times_binary64_13728` `associate-l/_binary64_13661` `associate-r/_binary64_13660` `*-commutative_binary64_13649`

Counts

4 → 180

Calls

4 calls:

125.0ms	(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 3 3)))) 1) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 3 3)))) (+.f64 (.f64 x x) (-.f64 (/.f64 (/.f64 1 3) 3) (/.f64 x 3)))))
71.0ms	(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 3 3)))) (+.f64 (*.f64 x x) (-.f64 (/.f64 (/.f64 1 3) 3) (/.f64 x 3))))
28.0ms	(sqrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 3 3))))
28.0ms	(sqrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 3 3))))

Compiler

Compiled 10543 to 8906 computations (15.5% saved)

series364.0ms (2.8%)

Error

Counts

4 → 24

Calls

4 calls:

127.0ms	(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 3 3)))) 1) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 3 3)))) (+.f64 (.f64 x x) (-.f64 (/.f64 (/.f64 1 3) 3) (/.f64 x 3)))))
67.0ms	(sqrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 3 3))))
64.0ms	(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 3 3)))) (+.f64 (*.f64 x x) (-.f64 (/.f64 (/.f64 1 3) 3) (/.f64 x 3))))
63.0ms	(sqrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 3 3))))

Compiler

Compiled 1539 to 1342 computations (12.8% saved)

simplify1.2s (9.1%)

Algorithm

1×	egg-herbie

Rules

311×	`associate-/r*_binary64_13662`
277×	`*-commutative_binary64_13649`
248×	`distribute-rgt-in_binary64_13668`
238×	`associate-/r/_binary64_13664`
235×	`distribute-lft-in_binary64_13667`
230×	`cancel-sign-sub-inv_binary64_13684`
216×	`sub-neg_binary64_13711`
167×	`associate-/l*_binary64_13663`
165×	`div-sub_binary64_13723`
144×	`associate-l_binary64_13659`
127×	`unsub-neg_binary64_13712`
122×	`associate-+l+_binary64_13651`
121×	`times-frac_binary64_13724`
116×	`associate-r_binary64_13658`
107×	`neg-mul-1_binary64_13714`
106×	`neg-sub0_binary64_13713` `associate-*l/_binary64_13661`
92×	`associate-/l/_binary64_13665`
87×	`distribute-rgt-neg-in_binary64_13676`
83×	`associate--l+_binary64_13655`
77×	`associate-+r+_binary64_13650`
76×	`unswap-sqr_binary64_13686` `associate-*r/_binary64_13660`
75×	`+-commutative_binary64_13648`
70×	`distribute-lft-neg-in_binary64_13675`
65×	`sqr-pow_binary64_13690`
49×	`cube-prod_binary64_13746`
42×	`*-lft-identity_binary64_13707`
39×	`*-rgt-identity_binary64_13708`
36×	`/-rgt-identity_binary64_13709`
35×	`distribute-neg-frac_binary64_13682`
34×	`pow-sqr_binary64_13691`
32×	`associate-+l-_binary64_13653`
31×	`associate-+r-_binary64_13652`
30×	`cube-div_binary64_13747` `associate--r+_binary64_13654`
23×	`exp-prod_binary64_13770`
22×	`swap-sqr_binary64_13685`
20×	`pow-plus_binary64_13781` `distribute-lft-neg-out_binary64_13677`
19×	`unpow3_binary64_13784`
18×	`log-div_binary64_13805` `log-prod_binary64_13804` `associate--l-_binary64_13656`
16×	`distribute-rgt-out--_binary64_13672`
13×	`cube-mult_binary64_13748` `distribute-neg-in_binary64_13679`
11×	`associate--r-_binary64_13657`
10×	`cube-unmult_binary64_13755`
9×	`distribute-rgt-neg-out_binary64_13678` `distribute-lft-out--_binary64_13670`
8×	`difference-of-squares_binary64_13687` `distribute-rgt-out_binary64_13671`
6×	`log-pow_binary64_13807` `log-rec_binary64_13806` `distribute-lft-out_binary64_13669`
5×	`rem-sqrt-square_binary64_13731`
4×	`mul-1-neg_binary64_13710` `sub0-neg_binary64_13705` `remove-double-div_binary64_13694`
3×	`exp-to-pow_binary64_13780` `sqr-neg_binary64_13732` `rem-square-sqrt_binary64_13730`
2×	`pow-base-1_binary64_13778` `remove-double-neg_binary64_13706` `distribute-neg-out_binary64_13680` `count-2_binary64_13666`
1×	`div-exp_binary64_13769` `rec-exp_binary64_13768` `prod-exp_binary64_13767` `exp-diff_binary64_13766` `1-exp_binary64_13762` `exp-1-e_binary64_13761` `rem-log-exp_binary64_13759` `rem-cbrt-cube_binary64_13742` `--rgt-identity_binary64_13704` `distribute-rgt1-in_binary64_13674`
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` `unpow2_binary64_13783` `unpow1/2_binary64_13782` `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-neg_binary64_13765` `exp-sum_binary64_13764` `e-exp-1_binary64_13763` `exp-0_binary64_13760` `rem-exp-log_binary64_13758` `cube-neg_binary64_13745` `rem-3cbrt-rft_binary64_13744` `rem-3cbrt-lft_binary64_13743` `rem-cube-cbrt_binary64_13741` `sqr-abs_binary64_13733` `+-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` `difference-of-sqr--1_binary64_13689` `difference-of-sqr-1_binary64_13688` `cancel-sign-sub_binary64_13683` `distribute-frac-neg_binary64_13681` `distribute-lft1-in_binary64_13673`

Counts

204 → 532

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	244	9576
1	596	8925
2	2127	8696
3	4336	8696

prune5.1s (38.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	532	0	532
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	532	2	534

Error

Counts

534 → 2

Compiler

Compiled 31137 to 26037 computations (16.4% saved)

regimes179.0ms (1.4%)

Accuracy

Total 0.0b remaining (95.3%)

Threshold costs 0.0b (95.3%)

Compiler

Compiled 1798 to 1559 computations (13.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1× +-commutative_binary64_13648

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	5	4

Proof

(+ f64 h0 1/3)

end0.0ms (0%)

sample1.2s (8.9%)

Algorithm

1×

intervals

Results

143.0ms

8000×

body

128

valid

Compiler

Compiled 886 to 766 computations (13.5% saved)

Details

analyze3.0ms (0%)

sample11.0ms (0.1%)

simplify154.0ms (1.2%)

prune3.0ms (0%)

localize6.0ms (0%)

rewrite22.0ms (0.2%)

series28.0ms (0.2%)

simplify190.0ms (1.5%)

prune27.0ms (0.2%)

localize16.0ms (0.1%)

rewrite399.0ms (3.1%)

series333.0ms (2.5%)

simplify794.0ms (6.1%)

prune1.7s (12.8%)

localize17.0ms (0.1%)

rewrite1.4s (11%)

series364.0ms (2.8%)

simplify1.2s (9.1%)

prune5.1s (38.7%)

regimes179.0ms (1.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.2s (8.9%)

Profiling