Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample17.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 35 to 30 computations (14.3% saved)

simplify1.2s (26.1%)

Algorithm

1×	egg-herbie

Rules

419×	`distribute-rgt1-in_binary64_2762`
396×	`distribute-rgt-out_binary64_2759`
367×	`distribute-rgt-out--_binary64_2760`
355×	`sub-neg_binary64_2799`
345×	`associate-r_binary64_2746`
251×	`cancel-sign-sub-inv_binary64_2772`
235×	`unsub-neg_binary64_2800`
205×	`associate--l+_binary64_2743`
177×	`distribute-rgt-neg-out_binary64_2766`
138×	`associate--l-_binary64_2744`
121×	`div-sub_binary64_2811`
93×	`associate-l_binary64_2747`
90×	`associate--r-_binary64_2745`
83×	`distribute-neg-out_binary64_2768`
79×	`associate-/l*_binary64_2751`
53×	`distribute-rgt-in_binary64_2756`
47×	`distribute-neg-frac_binary64_2770`
43×	`neg-mul-1_binary64_2802`
41×	`neg-sub0_binary64_2801`
36×	`associate-/r*_binary64_2750`
32×	`associate-+l-_binary64_2741`
30×	`sub0-neg_binary64_2793`
29×	`exp-prod_binary64_2858` `times-frac_binary64_2812` `swap-sqr_binary64_2773`
28×	`distribute-neg-in_binary64_2767` `distribute-lft-in_binary64_2755`
24×	`distribute-lft1-in_binary64_2761`
21×	`distribute-lft-neg-in_binary64_2763` `associate-+l+_binary64_2739` `*-commutative_binary64_2737`
20×	`exp-sum_binary64_2852` `associate-+r+_binary64_2738`
19×	`+-rgt-identity_binary64_2791` `+-inverses_binary64_2785` `distribute-lft-out_binary64_2757`
18×	`distribute-lft-out--_binary64_2758` `count-2_binary64_2754`
17×	`+-commutative_binary64_2736`
15×	`associate--r+_binary64_2742`
14×	`+-lft-identity_binary64_2790` `distribute-lft-neg-out_binary64_2765` `distribute-rgt-neg-in_binary64_2764` `associate-/r/_binary64_2752`
13×	`distribute-frac-neg_binary64_2769`
12×	`exp-diff_binary64_2854` `associate-*r/_binary64_2748`
11×	`mul0-lft_binary64_2788` `sqr-pow_binary64_2778` `associate-*l/_binary64_2749` `associate-+r-_binary64_2740`
10×	`pow-plus_binary64_2869` `remove-double-neg_binary64_2794`
9×	`exp-lft-sqr_binary64_2861` `pow-sqr_binary64_2779`
8×	`sqr-neg_binary64_2820` `mul0-rgt_binary64_2789`
7×	`--rgt-identity_binary64_2792`
6×	`associate-/l/_binary64_2753`
5×	`cube-unmult_binary64_2843`
4×	`exp-neg_binary64_2853`
3×	`div0_binary64_2787`
2×	`difference-of-sqr--1_binary64_2777` `difference-of-squares_binary64_2775`
1×	`1-exp_binary64_2850` `cube-prod_binary64_2834` `-rgt-identity_binary64_2796` `-lft-identity_binary64_2795` `difference-of-sqr-1_binary64_2776`
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_3069` `erf-erfc_binary64_3068` `erf-odd_binary64_3067` `if-if-and-not_binary64_3066` `if-if-and_binary64_3065` `if-if-or-not_binary64_3064` `if-if-or_binary64_3063` `if-not_binary64_3062` `if-same_binary64_3061` `if-false_binary64_3060` `if-true_binary64_3059` `not-gte_binary64_3058` `not-lte_binary64_3057` `not-gt_binary64_3056` `not-lt_binary64_3055` `gte-same_binary64_3054` `lte-same_binary64_3053` `gt-same_binary64_3052` `lt-same_binary64_3051` `sinh---cosh_binary64_2998` `sinh-+-cosh_binary64_2997` `sinh-cosh_binary64_2996` `tanh-def-c_binary64_2995` `tanh-def-b_binary64_2994` `tanh-def-a_binary64_2993` `cosh-def_binary64_2992` `sinh-def_binary64_2991` `tan-neg_binary64_2938` `cos-neg_binary64_2937` `sin-neg_binary64_2936` `tan-0_binary64_2935` `cos-0_binary64_2934` `sin-0_binary64_2933` `hang-m-tan_binary64_2932` `hang-p-tan_binary64_2931` `hang-m0-tan_binary64_2930` `hang-p0-tan_binary64_2929` `hang-0m-tan_binary64_2928` `hang-0p-tan_binary64_2927` `tan-+PI/2_binary64_2926` `tan-+PI_binary64_2925` `tan-PI_binary64_2924` `tan-PI/3_binary64_2923` `tan-PI/4_binary64_2922` `tan-PI/6_binary64_2921` `cos-+PI/2_binary64_2920` `cos-+PI_binary64_2919` `cos-PI_binary64_2918` `cos-PI/2_binary64_2917` `cos-PI/3_binary64_2916` `cos-PI/4_binary64_2915` `cos-PI/6_binary64_2914` `sin-+PI/2_binary64_2913` `sin-+PI_binary64_2912` `sin-PI_binary64_2911` `sin-PI/2_binary64_2910` `sin-PI/3_binary64_2909` `sin-PI/4_binary64_2908` `sin-PI/6_binary64_2907` `sub-1-sin_binary64_2906` `sub-1-cos_binary64_2905` `-1-add-sin_binary64_2904` `-1-add-cos_binary64_2903` `1-sub-sin_binary64_2902` `1-sub-cos_binary64_2901` `cos-sin-sum_binary64_2900` `log-E_binary64_2896` `log-pow_binary64_2895` `log-rec_binary64_2894` `log-div_binary64_2893` `log-prod_binary64_2892` `pow-base-0_binary64_2890` `unpow1/3_binary64_2873` `unpow3_binary64_2872` `unpow2_binary64_2871` `unpow1/2_binary64_2870` `exp-to-pow_binary64_2868` `pow-base-1_binary64_2866` `unpow0_binary64_2865` `unpow1_binary64_2864` `unpow-1_binary64_2863` `exp-lft-cube_binary64_2862` `exp-cbrt_binary64_2860` `exp-sqrt_binary64_2859` `div-exp_binary64_2857` `rec-exp_binary64_2856` `prod-exp_binary64_2855` `e-exp-1_binary64_2851` `exp-1-e_binary64_2849` `exp-0_binary64_2848` `rem-log-exp_binary64_2847` `rem-exp-log_binary64_2846` `cube-mult_binary64_2836` `cube-div_binary64_2835` `cube-neg_binary64_2833` `rem-3cbrt-rft_binary64_2832` `rem-3cbrt-lft_binary64_2831` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `sqr-abs_binary64_2821` `rem-sqrt-square_binary64_2819` `rem-square-sqrt_binary64_2818` `mul-1-neg_binary64_2798` `/-rgt-identity_binary64_2797` `*-inverses_binary64_2786` `lft-mult-inverse_binary64_2784` `rgt-mult-inverse_binary64_2783` `remove-double-div_binary64_2782` `unswap-sqr_binary64_2774` `cancel-sign-sub_binary64_2771`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	25	25
2	39	25
3	62	25
4	91	25
5	173	25
6	328	25
7	3083	25

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 34 to 28 computations (17.6% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x))))
0.0b	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
0.1b	(.f64 (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)) x)
15.0b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x)))

rewrite208.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`add-sqr-sqrt_binary64_2828`
23×	`*-un-lft-identity_binary64_2806`
21×	`add-cube-cbrt_binary64_2841`
19×	`times-frac_binary64_2812`
15×	`cancel-sign-sub-inv_binary64_2772`
8×	`add-exp-log_binary64_2844` `add-log-exp_binary64_2845` `add-cbrt-cube_binary64_2842`
6×	`pow1_binary64_2867`
5×	`flip3-+_binary64_2809` `flip-+_binary64_2780`
4×	`associate-/r/_binary64_2752`
3×	`associate-/l_binary64_2751` `associate-/r_binary64_2750` `associate-l_binary64_2747` `associate-r_binary64_2746`
2×	`div-inv_binary64_2803` `associate-/l/_binary64_2753` `associate-*l/_binary64_2749` `difference-of-squares_binary64_2775`
1×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `*-commutative_binary64_2737` `sum-log_binary64_2897` `+-commutative_binary64_2736` `diff-log_binary64_2898` `flip3--_binary64_2810` `sub-neg_binary64_2799` `flip--_binary64_2781` `distribute-lft-out--_binary64_2758`

Counts

4 → 91

Calls

4 calls:

11.0ms	(-.f64 x (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x))))
7.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x)))
6.0ms	(.f64 (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)) x)
3.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))

Compiler

Compiled 2822 to 2245 computations (20.4% saved)

series289.0ms (6.5%)

Error

Counts

4 → 36

Calls

4 calls:

76.0ms	(.f64 (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)) x)
68.0ms	(-.f64 x (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x))))
63.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x)))
43.0ms	(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))

Compiler

Compiled 1128 to 931 computations (17.5% saved)

simplify440.0ms (9.9%)

Algorithm

1×	egg-herbie

Rules

524×	`distribute-rgt-in_binary64_2756`
480×	`distribute-lft-in_binary64_2755`
361×	`times-frac_binary64_2812`
241×	`cancel-sign-sub-inv_binary64_2772`
155×	`distribute-rgt-neg-in_binary64_2764`
139×	`sub-neg_binary64_2799`
128×	`distribute-lft-neg-out_binary64_2765`
123×	`associate-l_binary64_2747`
108×	`associate-r_binary64_2746`
107×	`*-commutative_binary64_2737`
106×	`associate-/l/_binary64_2753`
105×	`neg-sub0_binary64_2801`
104×	`div-sub_binary64_2811`
98×	`neg-mul-1_binary64_2802`
96×	`distribute-lft-neg-in_binary64_2763`
90×	`distribute-neg-frac_binary64_2770`
74×	`associate-*l/_binary64_2749`
64×	`distribute-rgt-neg-out_binary64_2766`
61×	`associate-*r/_binary64_2748`
58×	`+-commutative_binary64_2736`
53×	`sqr-pow_binary64_2778`
50×	`associate-/l*_binary64_2751`
45×	`distribute-rgt-out_binary64_2759`
40×	`distribute-neg-in_binary64_2767`
35×	`exp-prod_binary64_2858`
34×	`unswap-sqr_binary64_2774`
33×	`*-rgt-identity_binary64_2796`
31×	`distribute-rgt-out--_binary64_2760`
26×	`pow-sqr_binary64_2779`
25×	`associate-/r*_binary64_2750`
23×	`*-lft-identity_binary64_2795` `distribute-frac-neg_binary64_2769`
22×	`associate--l+_binary64_2743`
21×	`log-prod_binary64_2892` `cube-prod_binary64_2834`
20×	`unsub-neg_binary64_2800` `associate--r+_binary64_2742`
19×	`distribute-lft-out_binary64_2757`
17×	`div-exp_binary64_2857` `prod-exp_binary64_2855`
16×	`swap-sqr_binary64_2773`
13×	`distribute-lft-out--_binary64_2758`
12×	`associate-/r/_binary64_2752`
11×	`exp-sum_binary64_2852` `/-rgt-identity_binary64_2797`
10×	`unpow3_binary64_2872`
9×	`log-div_binary64_2893` `associate-+l+_binary64_2739`
8×	`pow-plus_binary64_2869` `cube-div_binary64_2835`
7×	`cube-mult_binary64_2836` `difference-of-squares_binary64_2775`
6×	`associate-+r-_binary64_2740`
5×	`log-pow_binary64_2895` `div0_binary64_2787`
4×	`rec-exp_binary64_2856` `cube-unmult_binary64_2843` `associate-+l-_binary64_2741`
3×	`pow-base-1_binary64_2866` `exp-diff_binary64_2854`
2×	`rem-3cbrt-lft_binary64_2831` `rem-square-sqrt_binary64_2818` `+-rgt-identity_binary64_2791` `distribute-rgt1-in_binary64_2762` `associate-+r+_binary64_2738`
1×	`log-rec_binary64_2894` `unpow2_binary64_2871` `unpow1_binary64_2864` `exp-sqrt_binary64_2859` `1-exp_binary64_2850` `exp-1-e_binary64_2849` `rem-log-exp_binary64_2847` `rem-sqrt-square_binary64_2819` `sub0-neg_binary64_2793` `*-inverses_binary64_2786` `cancel-sign-sub_binary64_2771` `count-2_binary64_2754`
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_3069` `erf-erfc_binary64_3068` `erf-odd_binary64_3067` `if-if-and-not_binary64_3066` `if-if-and_binary64_3065` `if-if-or-not_binary64_3064` `if-if-or_binary64_3063` `if-not_binary64_3062` `if-same_binary64_3061` `if-false_binary64_3060` `if-true_binary64_3059` `not-gte_binary64_3058` `not-lte_binary64_3057` `not-gt_binary64_3056` `not-lt_binary64_3055` `gte-same_binary64_3054` `lte-same_binary64_3053` `gt-same_binary64_3052` `lt-same_binary64_3051` `sinh---cosh_binary64_2998` `sinh-+-cosh_binary64_2997` `sinh-cosh_binary64_2996` `tanh-def-c_binary64_2995` `tanh-def-b_binary64_2994` `tanh-def-a_binary64_2993` `cosh-def_binary64_2992` `sinh-def_binary64_2991` `tan-neg_binary64_2938` `cos-neg_binary64_2937` `sin-neg_binary64_2936` `tan-0_binary64_2935` `cos-0_binary64_2934` `sin-0_binary64_2933` `hang-m-tan_binary64_2932` `hang-p-tan_binary64_2931` `hang-m0-tan_binary64_2930` `hang-p0-tan_binary64_2929` `hang-0m-tan_binary64_2928` `hang-0p-tan_binary64_2927` `tan-+PI/2_binary64_2926` `tan-+PI_binary64_2925` `tan-PI_binary64_2924` `tan-PI/3_binary64_2923` `tan-PI/4_binary64_2922` `tan-PI/6_binary64_2921` `cos-+PI/2_binary64_2920` `cos-+PI_binary64_2919` `cos-PI_binary64_2918` `cos-PI/2_binary64_2917` `cos-PI/3_binary64_2916` `cos-PI/4_binary64_2915` `cos-PI/6_binary64_2914` `sin-+PI/2_binary64_2913` `sin-+PI_binary64_2912` `sin-PI_binary64_2911` `sin-PI/2_binary64_2910` `sin-PI/3_binary64_2909` `sin-PI/4_binary64_2908` `sin-PI/6_binary64_2907` `sub-1-sin_binary64_2906` `sub-1-cos_binary64_2905` `-1-add-sin_binary64_2904` `-1-add-cos_binary64_2903` `1-sub-sin_binary64_2902` `1-sub-cos_binary64_2901` `cos-sin-sum_binary64_2900` `log-E_binary64_2896` `pow-base-0_binary64_2890` `unpow1/3_binary64_2873` `unpow1/2_binary64_2870` `exp-to-pow_binary64_2868` `unpow0_binary64_2865` `unpow-1_binary64_2863` `exp-lft-cube_binary64_2862` `exp-lft-sqr_binary64_2861` `exp-cbrt_binary64_2860` `exp-neg_binary64_2853` `e-exp-1_binary64_2851` `exp-0_binary64_2848` `rem-exp-log_binary64_2846` `cube-neg_binary64_2833` `rem-3cbrt-rft_binary64_2832` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `sqr-abs_binary64_2821` `sqr-neg_binary64_2820` `mul-1-neg_binary64_2798` `remove-double-neg_binary64_2794` `--rgt-identity_binary64_2792` `+-lft-identity_binary64_2790` `mul0-rgt_binary64_2789` `mul0-lft_binary64_2788` `+-inverses_binary64_2785` `lft-mult-inverse_binary64_2784` `rgt-mult-inverse_binary64_2783` `remove-double-div_binary64_2782` `difference-of-sqr--1_binary64_2777` `difference-of-sqr-1_binary64_2776` `distribute-neg-out_binary64_2768` `distribute-lft1-in_binary64_2761` `associate--r-_binary64_2745` `associate--l-_binary64_2744`

Counts

127 → 222

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	223	3326
1	648	3153
2	2079	2910

prune596.0ms (13.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	221	1	222
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	221	2	223

Error

Counts

223 → 2

Compiler

Compiled 6402 to 5001 computations (21.9% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x (-.f64 1913600308823862514215888482863/633825300114114700748351602688 (.f64 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496 x))) 162377988252285/70368744177664)
0.0b	(-.f64 1913600308823862514215888482863/633825300114114700748351602688 (*.f64 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496 x))
0.2b	(.f64 x (-.f64 1913600308823862514215888482863/633825300114114700748351602688 (.f64 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496 x)))
0.3b	(*.f64 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496 x)

rewrite99.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`add-sqr-sqrt_binary64_2828`
9×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
8×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-log-exp_binary64_2845` `add-cbrt-cube_binary64_2842` `cancel-sign-sub-inv_binary64_2772`
6×	`associate-l_binary64_2747` `associate-r_binary64_2746` `sub-neg_binary64_2799`
4×	`distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `associate--l+_binary64_2743`
3×	`flip3--_binary64_2810` `flip--_binary64_2781`
2×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `-commutative_binary64_2737` `associate-r/_binary64_2748` `diff-log_binary64_2898`

Counts

4 → 72

Calls

4 calls:

7.0ms	(-.f64 (.f64 x (-.f64 1913600308823862514215888482863/633825300114114700748351602688 (.f64 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496 x))) 162377988252285/70368744177664)
6.0ms	(*.f64 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496 x)
6.0ms	(.f64 x (-.f64 1913600308823862514215888482863/633825300114114700748351602688 (.f64 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496 x)))
3.0ms	(-.f64 1913600308823862514215888482863/633825300114114700748351602688 (*.f64 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496 x))

Compiler

Compiled 1135 to 900 computations (20.7% saved)

series268.0ms (6%)

Error

Counts

4 → 24

Calls

4 calls:

109.0ms	(-.f64 (.f64 x (-.f64 1913600308823862514215888482863/633825300114114700748351602688 (.f64 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496 x))) 162377988252285/70368744177664)
70.0ms	(.f64 x (-.f64 1913600308823862514215888482863/633825300114114700748351602688 (.f64 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496 x)))
48.0ms	(-.f64 1913600308823862514215888482863/633825300114114700748351602688 (*.f64 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496 x))
25.0ms	(*.f64 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496 x)

Compiler

Compiled 504 to 439 computations (12.9% saved)

simplify276.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

253×	`associate-+r+_binary64_2738`
251×	`associate-+l+_binary64_2739`
242×	`times-frac_binary64_2812`
179×	`distribute-rgt-in_binary64_2756`
178×	`cancel-sign-sub-inv_binary64_2772`
177×	`distribute-lft-in_binary64_2755`
141×	`distribute-rgt-neg-in_binary64_2764`
138×	`*-commutative_binary64_2737`
131×	`unsub-neg_binary64_2800` `associate-/r*_binary64_2750`
122×	`distribute-lft-neg-in_binary64_2763`
121×	`unswap-sqr_binary64_2774`
119×	`associate-/l*_binary64_2751`
114×	`associate-l_binary64_2747`
113×	`distribute-lft-neg-out_binary64_2765`
105×	`distribute-rgt-neg-out_binary64_2766`
104×	`associate-/r/_binary64_2752`
97×	`exp-prod_binary64_2858`
95×	`associate-r_binary64_2746`
93×	`sqr-pow_binary64_2778`
80×	`sub-neg_binary64_2799`
74×	`exp-sum_binary64_2852`
63×	`neg-mul-1_binary64_2802` `neg-sub0_binary64_2801`
58×	`associate-+l-_binary64_2741`
49×	`associate-l/_binary64_2749` `associate-r/_binary64_2748`
45×	`associate-+r-_binary64_2740`
40×	`distribute-rgt-out_binary64_2759`
37×	`associate--r+_binary64_2742`
35×	`pow-sqr_binary64_2779`
34×	`+-commutative_binary64_2736`
33×	`exp-sqrt_binary64_2859` `*-lft-identity_binary64_2795` `associate--l-_binary64_2744`
32×	`*-rgt-identity_binary64_2796`
31×	`swap-sqr_binary64_2773` `associate--l+_binary64_2743`
30×	`exp-diff_binary64_2854` `associate-/l/_binary64_2753`
27×	`distribute-neg-frac_binary64_2770`
26×	`cube-prod_binary64_2834` `difference-of-squares_binary64_2775`
24×	`log-prod_binary64_2892`
20×	`mul0-rgt_binary64_2789` `mul0-lft_binary64_2788`
17×	`cube-div_binary64_2835`
13×	`log-div_binary64_2893` `distribute-rgt-out--_binary64_2760`
12×	`sub0-neg_binary64_2793`
11×	`unpow3_binary64_2872`
8×	`+-rgt-identity_binary64_2791`
6×	`pow-plus_binary64_2869` `exp-neg_binary64_2853` `cube-mult_binary64_2836` `distribute-neg-out_binary64_2768` `distribute-neg-in_binary64_2767` `distribute-lft-out_binary64_2757`
4×	`div-sub_binary64_2811` `associate--r-_binary64_2745`
3×	`log-pow_binary64_2895` `cube-unmult_binary64_2843`
2×	`pow-base-1_binary64_2866` `div-exp_binary64_2857` `sqr-neg_binary64_2820` `rem-sqrt-square_binary64_2819` `cancel-sign-sub_binary64_2771` `distribute-rgt1-in_binary64_2762` `count-2_binary64_2754`
1×	`unpow2_binary64_2871` `unpow1_binary64_2864` `exp-lft-sqr_binary64_2861` `prod-exp_binary64_2855` `1-exp_binary64_2850` `exp-1-e_binary64_2849` `rem-log-exp_binary64_2847` `rem-3cbrt-lft_binary64_2831` `rem-square-sqrt_binary64_2818` `/-rgt-identity_binary64_2797` `--rgt-identity_binary64_2792` `*-inverses_binary64_2786` `distribute-lft-out--_binary64_2758`
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_3069` `erf-erfc_binary64_3068` `erf-odd_binary64_3067` `if-if-and-not_binary64_3066` `if-if-and_binary64_3065` `if-if-or-not_binary64_3064` `if-if-or_binary64_3063` `if-not_binary64_3062` `if-same_binary64_3061` `if-false_binary64_3060` `if-true_binary64_3059` `not-gte_binary64_3058` `not-lte_binary64_3057` `not-gt_binary64_3056` `not-lt_binary64_3055` `gte-same_binary64_3054` `lte-same_binary64_3053` `gt-same_binary64_3052` `lt-same_binary64_3051` `sinh---cosh_binary64_2998` `sinh-+-cosh_binary64_2997` `sinh-cosh_binary64_2996` `tanh-def-c_binary64_2995` `tanh-def-b_binary64_2994` `tanh-def-a_binary64_2993` `cosh-def_binary64_2992` `sinh-def_binary64_2991` `tan-neg_binary64_2938` `cos-neg_binary64_2937` `sin-neg_binary64_2936` `tan-0_binary64_2935` `cos-0_binary64_2934` `sin-0_binary64_2933` `hang-m-tan_binary64_2932` `hang-p-tan_binary64_2931` `hang-m0-tan_binary64_2930` `hang-p0-tan_binary64_2929` `hang-0m-tan_binary64_2928` `hang-0p-tan_binary64_2927` `tan-+PI/2_binary64_2926` `tan-+PI_binary64_2925` `tan-PI_binary64_2924` `tan-PI/3_binary64_2923` `tan-PI/4_binary64_2922` `tan-PI/6_binary64_2921` `cos-+PI/2_binary64_2920` `cos-+PI_binary64_2919` `cos-PI_binary64_2918` `cos-PI/2_binary64_2917` `cos-PI/3_binary64_2916` `cos-PI/4_binary64_2915` `cos-PI/6_binary64_2914` `sin-+PI/2_binary64_2913` `sin-+PI_binary64_2912` `sin-PI_binary64_2911` `sin-PI/2_binary64_2910` `sin-PI/3_binary64_2909` `sin-PI/4_binary64_2908` `sin-PI/6_binary64_2907` `sub-1-sin_binary64_2906` `sub-1-cos_binary64_2905` `-1-add-sin_binary64_2904` `-1-add-cos_binary64_2903` `1-sub-sin_binary64_2902` `1-sub-cos_binary64_2901` `cos-sin-sum_binary64_2900` `log-E_binary64_2896` `log-rec_binary64_2894` `pow-base-0_binary64_2890` `unpow1/3_binary64_2873` `unpow1/2_binary64_2870` `exp-to-pow_binary64_2868` `unpow0_binary64_2865` `unpow-1_binary64_2863` `exp-lft-cube_binary64_2862` `exp-cbrt_binary64_2860` `rec-exp_binary64_2856` `e-exp-1_binary64_2851` `exp-0_binary64_2848` `rem-exp-log_binary64_2846` `cube-neg_binary64_2833` `rem-3cbrt-rft_binary64_2832` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `sqr-abs_binary64_2821` `mul-1-neg_binary64_2798` `remove-double-neg_binary64_2794` `+-lft-identity_binary64_2790` `div0_binary64_2787` `+-inverses_binary64_2785` `lft-mult-inverse_binary64_2784` `rgt-mult-inverse_binary64_2783` `remove-double-div_binary64_2782` `difference-of-sqr--1_binary64_2777` `difference-of-sqr-1_binary64_2776` `distribute-frac-neg_binary64_2769` `distribute-lft1-in_binary64_2761`

Counts

96 → 113

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	1129
1	276	1057
2	768	1048
3	2012	1048

prune99.0ms (2.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	113	2	115

Error

Counts

115 → 2

Compiler

Compiled 1563 to 1161 computations (25.7% saved)

regimes90.0ms (2%)

Accuracy

Total 0.0b remaining (88.5%)

Threshold costs 0.0b (88.5%)

Compiler

Compiled 766 to 644 computations (15.9% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64_2736`
9×	`*-commutative_binary64_2737`
7×	`sub-neg_binary64_2799`
6×	`neg-mul-1_binary64_2802` `neg-sub0_binary64_2801`
2×	`unsub-neg_binary64_2800` `distribute-neg-in_binary64_2767` `distribute-rgt-neg-in_binary64_2764` `distribute-lft-neg-in_binary64_2763`
1×	`1-exp_binary64_2850` `distribute-neg-frac_binary64_2770`
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_3066` `if-if-and_binary64_3065` `if-if-or-not_binary64_3064` `if-if-or_binary64_3063` `if-not_binary64_3062` `if-same_binary64_3061` `if-false_binary64_3060` `if-true_binary64_3059` `tan-0_binary64_2935` `cos-0_binary64_2934` `sin-0_binary64_2933` `unpow1_binary64_2864` `e-exp-1_binary64_2851` `exp-1-e_binary64_2849` `exp-0_binary64_2848` `sqr-abs_binary64_2821` `sqr-neg_binary64_2820` `mul-1-neg_binary64_2798` `/-rgt-identity_binary64_2797` `-rgt-identity_binary64_2796` `-lft-identity_binary64_2795` `remove-double-neg_binary64_2794` `sub0-neg_binary64_2793` `--rgt-identity_binary64_2792` `+-rgt-identity_binary64_2791` `+-lft-identity_binary64_2790` `cancel-sign-sub-inv_binary64_2772` `cancel-sign-sub_binary64_2771` `distribute-frac-neg_binary64_2769` `distribute-neg-out_binary64_2768` `distribute-rgt-neg-out_binary64_2766` `distribute-lft-neg-out_binary64_2765`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	25	25
2	31	25
3	39	25
4	54	25
5	63	25
6	69	25
7	71	25

Proof

(- f64 h0 (/ f64 (+ f64 162377988252285/70368744177664 (* f64 h0 609359547581365/2251799813685248)) (+ f64 1 (=> (* f64 (+ f64 8937753748486939/9007199254740992 (* f64 h0 3228900788839551/72057594037927936)) h0)))))
*-commutative_binary64_2737 =>
(- f64 h0 (/ f64 (+ f64 162377988252285/70368744177664 (* f64 h0 609359547581365/2251799813685248)) (+ f64 1 (* f64 h0 (+ f64 8937753748486939/9007199254740992 (* f64 h0 3228900788839551/72057594037927936))))))

end0.0ms (0%)

sample875.0ms (19.6%)

Algorithm

1×

intervals

Results

310.0ms

8000×

body

128

valid

Compiler

Compiled 400 to 337 computations (15.8% saved)

Details

analyze5.0ms (0.1%)

sample17.0ms (0.4%)

simplify1.2s (26.1%)

prune3.0ms (0.1%)

localize15.0ms (0.3%)

rewrite208.0ms (4.7%)

series289.0ms (6.5%)

simplify440.0ms (9.9%)

prune596.0ms (13.4%)

localize6.0ms (0.1%)

rewrite99.0ms (2.2%)

series268.0ms (6%)

simplify276.0ms (6.2%)

prune99.0ms (2.2%)

regimes90.0ms (2%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample875.0ms (19.6%)

Profiling