Details

analyze539.0ms (6.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

511×	`unsub-neg_binary64_2800`
501×	`sub-neg_binary64_2799`
352×	`associate--l+_binary64_2743`
328×	`associate-+l+_binary64_2739`
312×	`neg-mul-1_binary64_2802`
308×	`neg-sub0_binary64_2801`
296×	`associate-+r+_binary64_2738`
251×	`associate-l_binary64_2747`
245×	`distribute-rgt-neg-in_binary64_2764`
243×	`distribute-rgt-in_binary64_2756`
232×	`distribute-rgt-out_binary64_2759`
217×	`associate-r_binary64_2746`
205×	`distribute-neg-in_binary64_2767`
185×	`distribute-lft-in_binary64_2755`
179×	`*-commutative_binary64_2737`
144×	`associate-+l-_binary64_2741`
131×	`+-commutative_binary64_2736`
101×	`distribute-lft-neg-out_binary64_2765`
92×	`associate-+r-_binary64_2740`
88×	`distribute-rgt-neg-out_binary64_2766`
84×	`unswap-sqr_binary64_2774`
81×	`cancel-sign-sub-inv_binary64_2772`
58×	`associate--r+_binary64_2742`
40×	`*-rgt-identity_binary64_2796`
36×	`cancel-sign-sub_binary64_2771`
28×	`distribute-lft-out_binary64_2757`
27×	`*-lft-identity_binary64_2795`
23×	`remove-double-neg_binary64_2794`
22×	`associate--r-_binary64_2745`
20×	`sub0-neg_binary64_2793` `sqr-pow_binary64_2778` `distribute-lft-neg-in_binary64_2763`
16×	`+-rgt-identity_binary64_2791`
10×	`pow-plus_binary64_2869`
8×	`mul0-rgt_binary64_2789` `mul0-lft_binary64_2788` `difference-of-sqr--1_binary64_2777`
6×	`cube-unmult_binary64_2843` `difference-of-squares_binary64_2775` `swap-sqr_binary64_2773` `distribute-lft1-in_binary64_2761`
5×	`unpow2_binary64_2871` `rem-sqrt-square_binary64_2819` `difference-of-sqr-1_binary64_2776`
3×	`unpow3_binary64_2872` `mul-1-neg_binary64_2798`
2×	`cube-prod_binary64_2834` `--rgt-identity_binary64_2792` `distribute-neg-out_binary64_2768` `distribute-rgt1-in_binary64_2762`
1×	`unpow1/2_binary64_2870` `unpow1_binary64_2864` `1-exp_binary64_2850` `pow-sqr_binary64_2779`
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` `exp-to-pow_binary64_2868` `pow-base-1_binary64_2866` `unpow0_binary64_2865` `unpow-1_binary64_2863` `exp-lft-cube_binary64_2862` `exp-lft-sqr_binary64_2861` `exp-cbrt_binary64_2860` `exp-sqrt_binary64_2859` `exp-prod_binary64_2858` `div-exp_binary64_2857` `rec-exp_binary64_2856` `prod-exp_binary64_2855` `exp-diff_binary64_2854` `exp-neg_binary64_2853` `exp-sum_binary64_2852` `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` `sqr-neg_binary64_2820` `rem-square-sqrt_binary64_2818` `times-frac_binary64_2812` `div-sub_binary64_2811` `/-rgt-identity_binary64_2797` `+-lft-identity_binary64_2790` `div0_binary64_2787` `-inverses_binary64_2786` `+-inverses_binary64_2785` `lft-mult-inverse_binary64_2784` `rgt-mult-inverse_binary64_2783` `remove-double-div_binary64_2782` `distribute-neg-frac_binary64_2770` `distribute-frac-neg_binary64_2769` `distribute-rgt-out--_binary64_2760` `distribute-lft-out--_binary64_2758` `count-2_binary64_2754` `associate-/l/_binary64_2753` `associate-/r/_binary64_2752` `associate-/l_binary64_2751` `associate-/r_binary64_2750` `associate-l/_binary64_2749` `associate-*r/_binary64_2748` `associate--l-_binary64_2744`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	86
1	90	86
2	258	86
3	660	86
4	1912	86
5	3405	86
6	4573	86
7	4994	86
8	5000	86
9	4923	86
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
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
25%	53.1%	22%	7
25%	46.8%	28.2%	8
25%	33.6%	41.5%	9
28.1%	18%	54%	10
31.6%	12.1%	56.3%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 30 to 20 computations (33.3% saved)

sample25.0ms (0.3%)

Algorithm

1×

intervals

Results

15.0ms

256×

body

128

valid

Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify80.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

705×	`unsub-neg_binary64_2800`
556×	`cancel-sign-sub-inv_binary64_2772`
344×	`+-commutative_binary64_2736`
342×	`distribute-rgt-in_binary64_2756`
317×	`sub-neg_binary64_2799`
271×	`associate-l_binary64_2747`
266×	`distribute-rgt-neg-in_binary64_2764`
248×	`distribute-lft-in_binary64_2755`
233×	`neg-sub0_binary64_2801`
226×	`neg-mul-1_binary64_2802`
213×	`associate-r_binary64_2746`
206×	`distribute-lft-neg-in_binary64_2763`
185×	`associate--l+_binary64_2743`
173×	`associate-+l+_binary64_2739`
162×	`unswap-sqr_binary64_2774`
155×	`distribute-rgt-out_binary64_2759`
153×	`distribute-neg-in_binary64_2767`
151×	`associate-+r+_binary64_2738`
102×	`*-commutative_binary64_2737`
76×	`distribute-lft-out_binary64_2757`
73×	`associate-+l-_binary64_2741`
64×	`distribute-lft-neg-out_binary64_2765`
48×	`associate-+r-_binary64_2740`
45×	`difference-of-sqr--1_binary64_2777`
44×	`remove-double-neg_binary64_2794`
43×	`distribute-rgt-neg-out_binary64_2766`
41×	`*-rgt-identity_binary64_2796`
38×	`associate--r+_binary64_2742`
31×	`sqr-pow_binary64_2778`
29×	`*-lft-identity_binary64_2795`
16×	`cube-prod_binary64_2834`
13×	`pow-plus_binary64_2869`
11×	`sub0-neg_binary64_2793` `associate--r-_binary64_2745`
9×	`mul-1-neg_binary64_2798` `+-rgt-identity_binary64_2791` `distribute-rgt-out--_binary64_2760`
7×	`mul0-rgt_binary64_2789` `mul0-lft_binary64_2788` `distribute-lft1-in_binary64_2761`
6×	`unpow3_binary64_2872` `cube-unmult_binary64_2843` `swap-sqr_binary64_2773` `distribute-rgt1-in_binary64_2762`
5×	`unpow2_binary64_2871` `sqr-neg_binary64_2820` `difference-of-sqr-1_binary64_2776` `distribute-lft-out--_binary64_2758`
4×	`difference-of-squares_binary64_2775`
3×	`unpow1_binary64_2864` `cube-neg_binary64_2833` `rem-sqrt-square_binary64_2819` `pow-sqr_binary64_2779`
2×	`cube-mult_binary64_2836`
1×	`unpow1/2_binary64_2870` `1-exp_binary64_2850` `--rgt-identity_binary64_2792` `cancel-sign-sub_binary64_2771` `distribute-neg-out_binary64_2768`
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` `exp-to-pow_binary64_2868` `pow-base-1_binary64_2866` `unpow0_binary64_2865` `unpow-1_binary64_2863` `exp-lft-cube_binary64_2862` `exp-lft-sqr_binary64_2861` `exp-cbrt_binary64_2860` `exp-sqrt_binary64_2859` `exp-prod_binary64_2858` `div-exp_binary64_2857` `rec-exp_binary64_2856` `prod-exp_binary64_2855` `exp-diff_binary64_2854` `exp-neg_binary64_2853` `exp-sum_binary64_2852` `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-div_binary64_2835` `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-square-sqrt_binary64_2818` `times-frac_binary64_2812` `div-sub_binary64_2811` `/-rgt-identity_binary64_2797` `+-lft-identity_binary64_2790` `div0_binary64_2787` `-inverses_binary64_2786` `+-inverses_binary64_2785` `lft-mult-inverse_binary64_2784` `rgt-mult-inverse_binary64_2783` `remove-double-div_binary64_2782` `distribute-neg-frac_binary64_2770` `distribute-frac-neg_binary64_2769` `count-2_binary64_2754` `associate-/l/_binary64_2753` `associate-/r/_binary64_2752` `associate-/l_binary64_2751` `associate-/r_binary64_2750` `associate-l/_binary64_2749` `associate-*r/_binary64_2748` `associate--l-_binary64_2744`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	43
1	55	43
2	150	43
3	389	43
4	1083	43
5	2231	43
6	4328	43
7	4714	43
8	4915	43

prune4.0ms (0%)

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

0.2b

Counts

2 → 1

Compiler

Compiled 58 to 38 computations (34.5% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
1.2b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite194.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

15×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
14×	`add-cbrt-cube_binary64_2842`
10×	`add-cube-cbrt_binary64_2841` `associate-r_binary64_2746`
6×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `add-log-exp_binary64_2845` `cbrt-unprod_binary64_2839` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `cancel-sign-sub-inv_binary64_2772`
4×	`associate-*r/_binary64_2748`
3×	`unpow-prod-down_binary64_2885` `pow-unpow_binary64_2883`
2×	`unswap-sqr_binary64_2774` `flip3-+_binary64_2809` `flip-+_binary64_2780` `associate-l_binary64_2747` `*-commutative_binary64_2737` `sub-neg_binary64_2799` `difference-of-squares_binary64_2775` `associate-+r+_binary64_2738`
1×	`distribute-lft-out_binary64_2757` `pow-pow_binary64_2878` `pow-to-exp_binary64_2875` `pow-exp_binary64_2874` `unpow2_binary64_2871` `sqr-pow_binary64_2778` `flip3--_binary64_2810` `flip--_binary64_2781` `distribute-lft-out--_binary64_2758` `sum-log_binary64_2897` `+-commutative_binary64_2736`

Counts

4 → 87

Calls

4 calls:

12.0ms	(.f64 (.f64 b b) (+.f64 3 a))
12.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
10.0ms	(.f64 (.f64 a a) (-.f64 1 a))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3356 to 1686 computations (49.8% saved)

series1.1s (12.8%)

Error

0.0b

Counts

4 → 53

Calls

4 calls:

562.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
266.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
110.0ms	(.f64 (.f64 b b) (+.f64 3 a))
73.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 3592 to 2687 computations (25.2% saved)

simplify144.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

534×	`associate-+l+_binary64_2739`
345×	`associate-+r+_binary64_2738`
267×	`associate-l_binary64_2747`
224×	`exp-prod_binary64_2858`
217×	`associate-r_binary64_2746` `+-commutative_binary64_2736`
212×	`cancel-sign-sub-inv_binary64_2772`
148×	`associate--l+_binary64_2743`
139×	`neg-mul-1_binary64_2802`
138×	`neg-sub0_binary64_2801`
136×	`*-commutative_binary64_2737`
117×	`distribute-rgt-out_binary64_2759`
107×	`distribute-rgt-in_binary64_2756`
106×	`exp-sum_binary64_2852`
101×	`distribute-lft-in_binary64_2755`
99×	`log-prod_binary64_2892`
97×	`unswap-sqr_binary64_2774`
69×	`distribute-rgt-neg-in_binary64_2764`
67×	`distribute-lft-out_binary64_2757`
66×	`sqr-pow_binary64_2778`
59×	`cube-prod_binary64_2834`
58×	`distribute-lft-neg-in_binary64_2763`
51×	`associate--r+_binary64_2742`
45×	`distribute-lft-neg-out_binary64_2765`
43×	`sub-neg_binary64_2799` `distribute-rgt-neg-out_binary64_2766`
39×	`distribute-neg-in_binary64_2767`
29×	`log-pow_binary64_2895`
28×	`associate-+r-_binary64_2740`
27×	`*-lft-identity_binary64_2795`
26×	`associate-+l-_binary64_2741`
22×	`exp-diff_binary64_2854` `*-rgt-identity_binary64_2796`
20×	`swap-sqr_binary64_2773` `distribute-rgt-out--_binary64_2760`
18×	`cube-unmult_binary64_2843`
17×	`pow-plus_binary64_2869`
16×	`unsub-neg_binary64_2800`
15×	`unpow3_binary64_2872` `rem-sqrt-square_binary64_2819`
13×	`exp-neg_binary64_2853`
12×	`pow-sqr_binary64_2779`
10×	`cube-mult_binary64_2836`
8×	`unpow1/2_binary64_2870`
7×	`unpow2_binary64_2871` `div-sub_binary64_2811` `distribute-lft-out--_binary64_2758`
6×	`unpow1_binary64_2864`
4×	`difference-of-squares_binary64_2775`
3×	`associate-/l/_binary64_2753` `associate-*r/_binary64_2748`
2×	`exp-lft-cube_binary64_2862` `rem-square-sqrt_binary64_2818` `count-2_binary64_2754`
1×	`prod-exp_binary64_2855` `1-exp_binary64_2850` `exp-1-e_binary64_2849` `rem-3cbrt-rft_binary64_2832` `rem-3cbrt-lft_binary64_2831` `mul-1-neg_binary64_2798` `distribute-rgt1-in_binary64_2762` `associate-/r/_binary64_2752` `associate-/l*_binary64_2751`
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` `log-div_binary64_2893` `pow-base-0_binary64_2890` `unpow1/3_binary64_2873` `exp-to-pow_binary64_2868` `pow-base-1_binary64_2866` `unpow0_binary64_2865` `unpow-1_binary64_2863` `exp-lft-sqr_binary64_2861` `exp-cbrt_binary64_2860` `exp-sqrt_binary64_2859` `div-exp_binary64_2857` `rec-exp_binary64_2856` `e-exp-1_binary64_2851` `exp-0_binary64_2848` `rem-log-exp_binary64_2847` `rem-exp-log_binary64_2846` `cube-div_binary64_2835` `cube-neg_binary64_2833` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `sqr-abs_binary64_2821` `sqr-neg_binary64_2820` `times-frac_binary64_2812` `/-rgt-identity_binary64_2797` `remove-double-neg_binary64_2794` `sub0-neg_binary64_2793` `--rgt-identity_binary64_2792` `+-rgt-identity_binary64_2791` `+-lft-identity_binary64_2790` `mul0-rgt_binary64_2789` `mul0-lft_binary64_2788` `div0_binary64_2787` `-inverses_binary64_2786` `+-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` `cancel-sign-sub_binary64_2771` `distribute-neg-frac_binary64_2770` `distribute-frac-neg_binary64_2769` `distribute-neg-out_binary64_2768` `distribute-lft1-in_binary64_2761` `associate-/r_binary64_2750` `associate-*l/_binary64_2749` `associate--r-_binary64_2745` `associate--l-_binary64_2744`

Counts

140 → 115

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	215	2919
1	585	2608
2	1868	2512
3	4253	2508
4	4980	2508
5	4962	2508

prune198.0ms (2.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	111	4	115
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	111	5	116

Error

0.0b

Counts

116 → 5

Compiler

Compiled 3914 to 2054 computations (47.5% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a))))) (+.f64 (pow.f64 a 4) (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))))))
0.0b	(.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3)))
0.0b	(.f64 a (+.f64 4 (.f64 2 a)))
1.8b	(.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))))

rewrite333.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`cancel-sign-sub-inv_binary64_2772`
23×	`add-sqr-sqrt_binary64_2828`
17×	`*-un-lft-identity_binary64_2806`
15×	`add-cube-cbrt_binary64_2841` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `associate-r_binary64_2746`
13×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-log-exp_binary64_2845` `add-cbrt-cube_binary64_2842`
7×	`associate-l_binary64_2747` `unpow-prod-down_binary64_2885` `cube-prod_binary64_2834`
6×	`associate-*r/_binary64_2748` `sum-log_binary64_2897`
5×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
4×	`difference-of-squares_binary64_2775`
3×	`unswap-sqr_binary64_2774` `flip3-+_binary64_2809` `flip-+_binary64_2780` `*-commutative_binary64_2737` `unpow3_binary64_2872` `cube-mult_binary64_2836` `sqr-pow_binary64_2778`
2×	`sub-neg_binary64_2799`
1×	`flip3--_binary64_2810` `flip--_binary64_2781` `distribute-rgt-out--_binary64_2760` `distribute-lft-out--_binary64_2758` `distribute-lft-out_binary64_2757` `associate-+r+_binary64_2738` `+-commutative_binary64_2736`

Counts

4 → 112

Calls

4 calls:

16.0ms	(+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a))))) (+.f64 (pow.f64 a 4) (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))))))
12.0ms	(.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3)))
9.0ms	(.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))))
6.0ms	(.f64 a (+.f64 4 (.f64 2 a)))

Compiler

Compiled 4910 to 3338 computations (32% saved)

series897.0ms (10.4%)

Error

0.0b

Counts

4 → 37

Calls

4 calls:

557.0ms	(+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a))))) (+.f64 (pow.f64 a 4) (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))))))
130.0ms	(.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))))
107.0ms	(.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3)))
39.0ms	(.f64 a (+.f64 4 (.f64 2 a)))

Compiler

Compiled 2615 to 2125 computations (18.7% saved)

simplify108.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

569×	`unswap-sqr_binary64_2774`
399×	`associate-l_binary64_2747`
379×	`associate-r_binary64_2746`
254×	`exp-prod_binary64_2858`
187×	`distribute-rgt-in_binary64_2756`
185×	`*-commutative_binary64_2737`
184×	`distribute-lft-in_binary64_2755`
99×	`cube-prod_binary64_2834`
96×	`difference-of-squares_binary64_2775`
89×	`+-commutative_binary64_2736`
81×	`associate-+r+_binary64_2738`
78×	`sub-neg_binary64_2799` `sqr-pow_binary64_2778`
72×	`associate-+l+_binary64_2739`
60×	`unsub-neg_binary64_2800`
54×	`neg-sub0_binary64_2801`
53×	`exp-sum_binary64_2852`
52×	`log-prod_binary64_2892` `neg-mul-1_binary64_2802`
49×	`cancel-sign-sub-inv_binary64_2772`
41×	`distribute-rgt-neg-in_binary64_2764`
37×	`associate--l+_binary64_2743`
35×	`distribute-lft-neg-in_binary64_2763`
31×	`distribute-rgt-out_binary64_2759`
20×	`*-lft-identity_binary64_2795`
19×	`*-rgt-identity_binary64_2796`
18×	`swap-sqr_binary64_2773` `distribute-lft-neg-out_binary64_2765`
16×	`unpow3_binary64_2872`
15×	`pow-plus_binary64_2869`
14×	`pow-sqr_binary64_2779`
13×	`prod-exp_binary64_2855` `associate--r+_binary64_2742`
11×	`cube-unmult_binary64_2843` `cube-mult_binary64_2836`
9×	`distribute-neg-in_binary64_2767` `distribute-rgt-neg-out_binary64_2766`
8×	`exp-diff_binary64_2854` `rem-sqrt-square_binary64_2819`
7×	`distribute-rgt-out--_binary64_2760` `distribute-lft-out_binary64_2757`
4×	`log-pow_binary64_2895`
3×	`exp-lft-sqr_binary64_2861` `distribute-rgt1-in_binary64_2762` `associate-+r-_binary64_2740`
2×	`unpow2_binary64_2871` `unpow1/2_binary64_2870` `unpow1_binary64_2864` `exp-neg_binary64_2853` `rem-square-sqrt_binary64_2818` `div-sub_binary64_2811` `distribute-lft-out--_binary64_2758` `associate-+l-_binary64_2741`
1×	`1-exp_binary64_2850` `exp-1-e_binary64_2849` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `+-rgt-identity_binary64_2791` `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` `log-rec_binary64_2894` `log-div_binary64_2893` `pow-base-0_binary64_2890` `unpow1/3_binary64_2873` `exp-to-pow_binary64_2868` `pow-base-1_binary64_2866` `unpow0_binary64_2865` `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` `e-exp-1_binary64_2851` `exp-0_binary64_2848` `rem-log-exp_binary64_2847` `rem-exp-log_binary64_2846` `cube-div_binary64_2835` `cube-neg_binary64_2833` `rem-3cbrt-rft_binary64_2832` `rem-3cbrt-lft_binary64_2831` `sqr-abs_binary64_2821` `sqr-neg_binary64_2820` `times-frac_binary64_2812` `mul-1-neg_binary64_2798` `/-rgt-identity_binary64_2797` `remove-double-neg_binary64_2794` `sub0-neg_binary64_2793` `--rgt-identity_binary64_2792` `+-lft-identity_binary64_2790` `mul0-rgt_binary64_2789` `mul0-lft_binary64_2788` `div0_binary64_2787` `-inverses_binary64_2786` `+-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` `cancel-sign-sub_binary64_2771` `distribute-neg-frac_binary64_2770` `distribute-frac-neg_binary64_2769` `distribute-neg-out_binary64_2768` `distribute-lft1-in_binary64_2761` `associate-/l/_binary64_2753` `associate-/r/_binary64_2752` `associate-/l_binary64_2751` `associate-/r_binary64_2750` `associate-l/_binary64_2749` `associate-*r/_binary64_2748` `associate--r-_binary64_2745` `associate--l-_binary64_2744`

Counts

149 → 122

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	264	3545
1	696	3122
2	3014	3122
3	5016	3122

prune260.0ms (3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	122	5	127

Error

0.0b

Counts

127 → 5

Compiler

Compiled 4638 to 3133 computations (32.4% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 2 (.f64 b b))
0.0b	(+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 (.f64 a a) (+.f64 (.f64 2 (*.f64 b b)) 4)))
0.1b	(*.f64 (pow.f64 a 3) (+.f64 a -4))
0.6b	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))

rewrite209.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`add-exp-log_binary64_2844` `add-sqr-sqrt_binary64_2828`
16×	`add-cbrt-cube_binary64_2842` `associate-l_binary64_2747`
14×	`pow1_binary64_2867`
12×	`-un-lft-identity_binary64_2806` `associate-r/_binary64_2748`
10×	`add-cube-cbrt_binary64_2841`
9×	`prod-exp_binary64_2855`
8×	`associate-r_binary64_2746`
7×	`cbrt-unprod_binary64_2839` `flip3-+_binary64_2809` `flip-+_binary64_2780`
6×	`pow-prod-down_binary64_2877` `add-log-exp_binary64_2845` `unswap-sqr_binary64_2774`
4×	`distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `unpow-prod-down_binary64_2885` `cube-prod_binary64_2834` `frac-add_binary64_2814`
3×	`*-commutative_binary64_2737`
2×	`sqr-pow_binary64_2778` `associate-+l+_binary64_2739` `associate-+r+_binary64_2738`
1×	`pow-to-exp_binary64_2875` `pow-exp_binary64_2874` `unpow3_binary64_2872` `cube-mult_binary64_2836` `distribute-lft-out_binary64_2757` `sum-log_binary64_2897` `+-commutative_binary64_2736`

Counts

4 → 97

Calls

4 calls:

12.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))
11.0ms	(+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 (.f64 a a) (+.f64 (.f64 2 (*.f64 b b)) 4)))
9.0ms	(*.f64 (pow.f64 a 3) (+.f64 a -4))
6.0ms	(.f64 2 (.f64 b b))

Compiler

Compiled 3084 to 1971 computations (36.1% saved)

series782.0ms (9.1%)

Error

0.0b

Counts

4 → 33

Calls

4 calls:

435.0ms	(+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 (.f64 a a) (+.f64 (.f64 2 (*.f64 b b)) 4)))
189.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))
83.0ms	(*.f64 (pow.f64 a 3) (+.f64 a -4))
33.0ms	(.f64 2 (.f64 b b))

Compiler

Compiled 1722 to 1453 computations (15.6% saved)

simplify154.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

449×	`associate-l_binary64_2747`
387×	`cancel-sign-sub-inv_binary64_2772`
374×	`unswap-sqr_binary64_2774`
350×	`associate-r_binary64_2746`
202×	`distribute-rgt-neg-in_binary64_2764`
194×	`log-prod_binary64_2892`
188×	`distribute-rgt-in_binary64_2756`
174×	`distribute-lft-neg-in_binary64_2763` `distribute-lft-in_binary64_2755`
166×	`distribute-rgt-out_binary64_2759` `*-commutative_binary64_2737`
141×	`exp-prod_binary64_2858`
80×	`distribute-rgt-out--_binary64_2760`
70×	`cube-prod_binary64_2834`
63×	`sqr-pow_binary64_2778`
52×	`sub-neg_binary64_2799`
48×	`+-commutative_binary64_2736`
45×	`unpow3_binary64_2872`
43×	`swap-sqr_binary64_2773`
42×	`distribute-neg-in_binary64_2767`
31×	`distribute-lft-neg-out_binary64_2765`
30×	`neg-mul-1_binary64_2802` `neg-sub0_binary64_2801`
25×	`log-pow_binary64_2895` `*-lft-identity_binary64_2795`
24×	`*-rgt-identity_binary64_2796`
21×	`distribute-rgt-neg-out_binary64_2766`
20×	`associate-+l+_binary64_2739`
18×	`exp-sum_binary64_2852`
13×	`associate-+r+_binary64_2738`
10×	`pow-plus_binary64_2869` `pow-sqr_binary64_2779` `associate--l+_binary64_2743`
8×	`cube-mult_binary64_2836`
7×	`unsub-neg_binary64_2800`
6×	`associate-+l-_binary64_2741`
4×	`exp-diff_binary64_2854` `cube-unmult_binary64_2843` `rem-sqrt-square_binary64_2819` `associate-+r-_binary64_2740`
3×	`exp-lft-sqr_binary64_2861` `difference-of-squares_binary64_2775` `distribute-lft-out_binary64_2757` `associate--r+_binary64_2742`
2×	`unpow2_binary64_2871` `unpow1/2_binary64_2870` `unpow1_binary64_2864` `prod-exp_binary64_2855` `count-2_binary64_2754`
1×	`1-exp_binary64_2850` `exp-1-e_binary64_2849` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `rem-square-sqrt_binary64_2818` `remove-double-neg_binary64_2794` `distribute-neg-out_binary64_2768` `associate--r-_binary64_2745` `associate--l-_binary64_2744`
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` `log-div_binary64_2893` `pow-base-0_binary64_2890` `unpow1/3_binary64_2873` `exp-to-pow_binary64_2868` `pow-base-1_binary64_2866` `unpow0_binary64_2865` `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` `exp-neg_binary64_2853` `e-exp-1_binary64_2851` `exp-0_binary64_2848` `rem-log-exp_binary64_2847` `rem-exp-log_binary64_2846` `cube-div_binary64_2835` `cube-neg_binary64_2833` `rem-3cbrt-rft_binary64_2832` `rem-3cbrt-lft_binary64_2831` `sqr-abs_binary64_2821` `sqr-neg_binary64_2820` `times-frac_binary64_2812` `div-sub_binary64_2811` `mul-1-neg_binary64_2798` `/-rgt-identity_binary64_2797` `sub0-neg_binary64_2793` `--rgt-identity_binary64_2792` `+-rgt-identity_binary64_2791` `+-lft-identity_binary64_2790` `mul0-rgt_binary64_2789` `mul0-lft_binary64_2788` `div0_binary64_2787` `-inverses_binary64_2786` `+-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` `cancel-sign-sub_binary64_2771` `distribute-neg-frac_binary64_2770` `distribute-frac-neg_binary64_2769` `distribute-rgt1-in_binary64_2762` `distribute-lft1-in_binary64_2761` `distribute-lft-out--_binary64_2758` `associate-/l/_binary64_2753` `associate-/r/_binary64_2752` `associate-/l_binary64_2751` `associate-/r_binary64_2750` `associate-l/_binary64_2749` `associate-*r/_binary64_2748`

Counts

130 → 87

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	201	2540
1	569	2405
2	2611	2309
3	4797	2309
4	4993	2309
5	4941	2309

prune125.0ms (1.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	86	6	92

Error

0.0b

Counts

92 → 6

Compiler

Compiled 2384 to 1509 computations (36.7% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 (cbrt.f64 (pow.f64 a 3)) (cbrt.f64 (pow.f64 a 3))) (*.f64 a (+.f64 a -4)))
0.6b	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))
31.2b	(cbrt.f64 (pow.f64 a 3))
31.2b	(cbrt.f64 (pow.f64 a 3))

rewrite226.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`cbrt-prod_binary64_2837`
21×	`pow1_binary64_2867` `add-exp-log_binary64_2844`
17×	`add-cbrt-cube_binary64_2842`
12×	`add-sqr-sqrt_binary64_2828`
11×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806` `pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
6×	`unpow-prod-down_binary64_2885` `cube-prod_binary64_2834` `associate-*r/_binary64_2748`
5×	`distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755`
4×	`add-log-exp_binary64_2845` `associate-r_binary64_2746`
2×	`pow1/3_binary64_2888` `unpow3_binary64_2872` `cube-mult_binary64_2836` `sqr-pow_binary64_2778` `rem-cbrt-cube_binary64_2830` `flip3-+_binary64_2809` `flip-+_binary64_2780` `associate-l_binary64_2747` `*-commutative_binary64_2737`
1×	`unswap-sqr_binary64_2774`

Counts

4 → 93

Calls

4 calls:

16.0ms	(.f64 (.f64 (cbrt.f64 (pow.f64 a 3)) (cbrt.f64 (pow.f64 a 3))) (*.f64 a (+.f64 a -4)))
14.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))
3.0ms	(cbrt.f64 (pow.f64 a 3))
2.0ms	(cbrt.f64 (pow.f64 a 3))

Compiler

Compiled 3439 to 2283 computations (33.6% saved)

series384.0ms (4.4%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

191.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))
103.0ms	(.f64 (.f64 (cbrt.f64 (pow.f64 a 3)) (cbrt.f64 (pow.f64 a 3))) (*.f64 a (+.f64 a -4)))
31.0ms	(cbrt.f64 (pow.f64 a 3))
30.0ms	(cbrt.f64 (pow.f64 a 3))

Compiler

Compiled 1563 to 1236 computations (20.9% saved)

simplify121.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

707×	`unswap-sqr_binary64_2774`
499×	`associate-l_binary64_2747`
394×	`log-prod_binary64_2892`
386×	`associate-r_binary64_2746`
148×	`exp-prod_binary64_2858`
112×	`*-commutative_binary64_2737`
104×	`associate-+l+_binary64_2739`
97×	`distribute-rgt-in_binary64_2756`
93×	`distribute-lft-in_binary64_2755`
88×	`distribute-rgt-out_binary64_2759`
81×	`distribute-lft-out_binary64_2757`
75×	`associate-+r+_binary64_2738`
73×	`+-commutative_binary64_2736`
65×	`cube-prod_binary64_2834` `distribute-rgt-neg-in_binary64_2764`
59×	`distribute-lft-neg-in_binary64_2763`
55×	`sqr-pow_binary64_2778`
51×	`swap-sqr_binary64_2773`
33×	`cancel-sign-sub-inv_binary64_2772`
25×	`log-pow_binary64_2895`
22×	`*-lft-identity_binary64_2795`
21×	`*-rgt-identity_binary64_2796`
13×	`cube-unmult_binary64_2843`
9×	`unpow3_binary64_2872` `pow-sqr_binary64_2779`
8×	`pow-plus_binary64_2869` `exp-sum_binary64_2852` `neg-sub0_binary64_2801` `sub-neg_binary64_2799` `distribute-rgt-out--_binary64_2760` `associate-/l*_binary64_2751` `associate-+l-_binary64_2741`
7×	`cube-mult_binary64_2836`
6×	`rem-sqrt-square_binary64_2819` `neg-mul-1_binary64_2802`
5×	`mul-1-neg_binary64_2798`
4×	`rem-cbrt-cube_binary64_2830` `count-2_binary64_2754` `associate-+r-_binary64_2740`
3×	`unpow2_binary64_2871` `unpow1/2_binary64_2870` `unpow1_binary64_2864` `distribute-lft-out--_binary64_2758`
1×	`exp-lft-sqr_binary64_2861` `exp-diff_binary64_2854` `1-exp_binary64_2850` `exp-1-e_binary64_2849` `rem-3cbrt-lft_binary64_2831` `rem-cube-cbrt_binary64_2829` `rem-square-sqrt_binary64_2818` `distribute-rgt-neg-out_binary64_2766` `distribute-lft-neg-out_binary64_2765` `distribute-lft1-in_binary64_2761`
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` `log-div_binary64_2893` `pow-base-0_binary64_2890` `unpow1/3_binary64_2873` `exp-to-pow_binary64_2868` `pow-base-1_binary64_2866` `unpow0_binary64_2865` `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` `exp-neg_binary64_2853` `e-exp-1_binary64_2851` `exp-0_binary64_2848` `rem-log-exp_binary64_2847` `rem-exp-log_binary64_2846` `cube-div_binary64_2835` `cube-neg_binary64_2833` `rem-3cbrt-rft_binary64_2832` `sqr-abs_binary64_2821` `sqr-neg_binary64_2820` `times-frac_binary64_2812` `div-sub_binary64_2811` `unsub-neg_binary64_2800` `/-rgt-identity_binary64_2797` `remove-double-neg_binary64_2794` `sub0-neg_binary64_2793` `--rgt-identity_binary64_2792` `+-rgt-identity_binary64_2791` `+-lft-identity_binary64_2790` `mul0-rgt_binary64_2789` `mul0-lft_binary64_2788` `div0_binary64_2787` `-inverses_binary64_2786` `+-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` `difference-of-squares_binary64_2775` `cancel-sign-sub_binary64_2771` `distribute-neg-frac_binary64_2770` `distribute-frac-neg_binary64_2769` `distribute-neg-out_binary64_2768` `distribute-neg-in_binary64_2767` `distribute-rgt1-in_binary64_2762` `associate-/l/_binary64_2753` `associate-/r/_binary64_2752` `associate-/r_binary64_2750` `associate-l/_binary64_2749` `associate-r/_binary64_2748` `associate--r-_binary64_2745` `associate--l-_binary64_2744` `associate--l+_binary64_2743` `associate--r+_binary64_2742`

Counts

114 → 78

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	156	1423
1	375	1202
2	2044	1199
3	4704	1199
4	4986	1199
5	4985	1199

prune112.0ms (1.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	78	6	84

Error

0.0b

Counts

84 → 6

Compiler

Compiled 2231 to 1407 computations (36.9% saved)

regimes626.0ms (7.3%)

Accuracy

Total 0.0b remaining (81.5%)

Threshold costs 0.0b (81.5%)

Compiler

Compiled 7958 to 5873 computations (26.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64_2736`
7×	`*-commutative_binary64_2737`
5×	`neg-mul-1_binary64_2802` `neg-sub0_binary64_2801`
4×	`sub-neg_binary64_2799`
3×	`unsub-neg_binary64_2800` `*-rgt-identity_binary64_2796`
2×	`distribute-rgt-neg-out_binary64_2766`
1×	`1-exp_binary64_2850` `*-lft-identity_binary64_2795` `distribute-lft-neg-out_binary64_2765` `distribute-rgt-neg-in_binary64_2764` `distribute-lft-neg-in_binary64_2763`
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` `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-neg-frac_binary64_2770` `distribute-frac-neg_binary64_2769` `distribute-neg-out_binary64_2768` `distribute-neg-in_binary64_2767`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	55
1	41	55
2	48	55
3	52	55
4	60	55
5	59	55
6	57	55

end0.0ms (0%)

sample1.9s (22.4%)

Algorithm

1×

intervals

Results

494.0ms	8000×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 1433 to 1064 computations (25.8% saved)

Details

analyze539.0ms (6.2%)

sample25.0ms (0.3%)

simplify80.0ms (0.9%)

prune4.0ms (0%)

localize15.0ms (0.2%)

rewrite194.0ms (2.2%)

series1.1s (12.8%)

simplify144.0ms (1.7%)

prune198.0ms (2.3%)

localize20.0ms (0.2%)

rewrite333.0ms (3.9%)

series897.0ms (10.4%)

simplify108.0ms (1.2%)

prune260.0ms (3%)

localize15.0ms (0.2%)

rewrite209.0ms (2.4%)

series782.0ms (9.1%)

simplify154.0ms (1.8%)

prune125.0ms (1.4%)

localize20.0ms (0.2%)

rewrite226.0ms (2.6%)

series384.0ms (4.4%)

simplify121.0ms (1.4%)

prune112.0ms (1.3%)

regimes626.0ms (7.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.9s (22.4%)

Profiling