Details

analyze150.0ms (4.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

2×	`sub-neg_binary64_2799` `+-commutative_binary64_2736`
1×	`div-sub_binary64_2811` `associate-/r/_binary64_2752` `associate-/l_binary64_2751` `-commutative_binary64_2737`
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` `pow-plus_binary64_2869` `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-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` `1-exp_binary64_2850` `exp-1-e_binary64_2849` `exp-0_binary64_2848` `rem-log-exp_binary64_2847` `rem-exp-log_binary64_2846` `cube-unmult_binary64_2843` `cube-mult_binary64_2836` `cube-div_binary64_2835` `cube-prod_binary64_2834` `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-sqrt-square_binary64_2819` `rem-square-sqrt_binary64_2818` `times-frac_binary64_2812` `neg-mul-1_binary64_2802` `neg-sub0_binary64_2801` `unsub-neg_binary64_2800` `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` `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` `pow-sqr_binary64_2779` `sqr-pow_binary64_2778` `difference-of-sqr--1_binary64_2777` `difference-of-sqr-1_binary64_2776` `difference-of-squares_binary64_2775` `unswap-sqr_binary64_2774` `swap-sqr_binary64_2773` `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` `distribute-rgt-neg-out_binary64_2766` `distribute-lft-neg-out_binary64_2765` `distribute-rgt-neg-in_binary64_2764` `distribute-lft-neg-in_binary64_2763` `distribute-rgt1-in_binary64_2762` `distribute-lft1-in_binary64_2761` `distribute-rgt-out--_binary64_2760` `distribute-rgt-out_binary64_2759` `distribute-lft-out--_binary64_2758` `distribute-lft-out_binary64_2757` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `count-2_binary64_2754` `associate-/l/_binary64_2753` `associate-/r_binary64_2750` `associate-l/_binary64_2749` `associate-r/_binary64_2748` `associate-l_binary64_2747` `associate-r_binary64_2746` `associate--r-_binary64_2745` `associate--l-_binary64_2744` `associate--l+_binary64_2743` `associate--r+_binary64_2742` `associate-+l-_binary64_2741` `associate-+r-_binary64_2740` `associate-+l+_binary64_2739` `associate-+r+_binary64_2738`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	14	10
2	20	10
3	23	10
4	24	10
5	21	10
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
75%	12.5%	12.5%	5
75%	6.2%	18.8%	6
75%	3.1%	21.9%	7
75%	1.6%	23.5%	8
75%	0.8%	24.3%	9
75%	0.4%	24.6%	10
75%	0.2%	24.8%	11
75%	0.1%	24.9%	12
75%	0%	25%	13
75%	0%	25%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample12.0ms (0.4%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`sub-neg_binary64_2799` `+-commutative_binary64_2736`
1×	`div-sub_binary64_2811` `associate-/r/_binary64_2752` `associate-/l_binary64_2751` `-commutative_binary64_2737`
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` `pow-plus_binary64_2869` `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-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` `1-exp_binary64_2850` `exp-1-e_binary64_2849` `exp-0_binary64_2848` `rem-log-exp_binary64_2847` `rem-exp-log_binary64_2846` `cube-unmult_binary64_2843` `cube-mult_binary64_2836` `cube-div_binary64_2835` `cube-prod_binary64_2834` `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-sqrt-square_binary64_2819` `rem-square-sqrt_binary64_2818` `times-frac_binary64_2812` `neg-mul-1_binary64_2802` `neg-sub0_binary64_2801` `unsub-neg_binary64_2800` `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` `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` `pow-sqr_binary64_2779` `sqr-pow_binary64_2778` `difference-of-sqr--1_binary64_2777` `difference-of-sqr-1_binary64_2776` `difference-of-squares_binary64_2775` `unswap-sqr_binary64_2774` `swap-sqr_binary64_2773` `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` `distribute-rgt-neg-out_binary64_2766` `distribute-lft-neg-out_binary64_2765` `distribute-rgt-neg-in_binary64_2764` `distribute-lft-neg-in_binary64_2763` `distribute-rgt1-in_binary64_2762` `distribute-lft1-in_binary64_2761` `distribute-rgt-out--_binary64_2760` `distribute-rgt-out_binary64_2759` `distribute-lft-out--_binary64_2758` `distribute-lft-out_binary64_2757` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `count-2_binary64_2754` `associate-/l/_binary64_2753` `associate-/r_binary64_2750` `associate-l/_binary64_2749` `associate-r/_binary64_2748` `associate-l_binary64_2747` `associate-r_binary64_2746` `associate--r-_binary64_2745` `associate--l-_binary64_2744` `associate--l+_binary64_2743` `associate--r+_binary64_2742` `associate-+l-_binary64_2741` `associate-+r-_binary64_2740` `associate-+l+_binary64_2739` `associate-+r+_binary64_2738`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	14	10
2	20	10
3	23	10
4	24	10
5	21	10

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

1 → 1

Compiler

Compiled 7 to 6 computations (14.3% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 x x) 3)
0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)

rewrite63.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`add-sqr-sqrt_binary64_2828`
12×	`add-cube-cbrt_binary64_2841` `times-frac_binary64_2812` `*-un-lft-identity_binary64_2806`
5×	`difference-of-squares_binary64_2775`
4×	`add-exp-log_binary64_2844` `add-log-exp_binary64_2845` `add-cbrt-cube_binary64_2842` `associate-/l*_binary64_2751`
3×	`associate-/r*_binary64_2750` `cancel-sign-sub-inv_binary64_2772`
2×	`pow1_binary64_2867` `flip3--_binary64_2810` `associate-/l/_binary64_2753` `flip--_binary64_2781`
1×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `frac-2neg_binary64_2817` `div-sub_binary64_2811` `clear-num_binary64_2805` `div-inv_binary64_2803` `diff-log_binary64_2898` `sub-neg_binary64_2799`

Counts

2 → 49

Calls

2 calls:

7.0ms	(/.f64 (-.f64 (*.f64 x x) 3) 6)
5.0ms	(-.f64 (*.f64 x x) 3)

Compiler

Compiled 742 to 497 computations (33% saved)

series137.0ms (4.1%)

Error

0.1b

Counts

2 → 12

Calls

2 calls:

76.0ms	(/.f64 (-.f64 (*.f64 x x) 3) 6)
52.0ms	(-.f64 (*.f64 x x) 3)

Compiler

Compiled 174 to 167 computations (4% saved)

simplify124.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

477×	`unswap-sqr_binary64_2774`
362×	`associate-l_binary64_2747`
311×	`associate-/l*_binary64_2751`
252×	`associate-r_binary64_2746`
232×	`div-sub_binary64_2811`
209×	`distribute-rgt-in_binary64_2756`
208×	`associate-*l/_binary64_2749`
197×	`distribute-lft-in_binary64_2755`
162×	`associate-*r/_binary64_2748`
160×	`distribute-rgt-out_binary64_2759`
156×	`associate-/l/_binary64_2753`
138×	`*-commutative_binary64_2737`
122×	`sub-neg_binary64_2799`
113×	`times-frac_binary64_2812`
111×	`associate-/r/_binary64_2752`
107×	`associate-/r*_binary64_2750`
92×	`exp-prod_binary64_2858`
82×	`cancel-sign-sub-inv_binary64_2772`
53×	`cube-prod_binary64_2834`
51×	`unpow3_binary64_2872`
45×	`sqr-pow_binary64_2778`
32×	`pow-plus_binary64_2869` `+-commutative_binary64_2736`
30×	`distribute-rgt-neg-in_binary64_2764`
29×	`associate-+l+_binary64_2739`
28×	`neg-mul-1_binary64_2802` `swap-sqr_binary64_2773`
27×	`mul0-rgt_binary64_2789` `mul0-lft_binary64_2788` `distribute-lft-neg-in_binary64_2763`
26×	`exp-sum_binary64_2852` `cube-div_binary64_2835` `associate-+r+_binary64_2738`
24×	`neg-sub0_binary64_2801`
22×	`/-rgt-identity_binary64_2797`
20×	`distribute-neg-frac_binary64_2770`
19×	`distribute-neg-in_binary64_2767`
18×	`cube-unmult_binary64_2843` `associate-+l-_binary64_2741`
16×	`cube-mult_binary64_2836`
14×	`associate--l-_binary64_2744`
12×	`pow-sqr_binary64_2779`
11×	`sub0-neg_binary64_2793`
9×	`*-lft-identity_binary64_2795` `+-rgt-identity_binary64_2791` `associate-+r-_binary64_2740`
7×	`associate--r+_binary64_2742`
6×	`unsub-neg_binary64_2800` `--rgt-identity_binary64_2792` `distribute-lft-out_binary64_2757` `associate--l+_binary64_2743`
5×	`exp-diff_binary64_2854` `*-rgt-identity_binary64_2796`
4×	`distribute-lft-neg-out_binary64_2765` `associate--r-_binary64_2745`
2×	`log-div_binary64_2893` `div0_binary64_2787` `distribute-frac-neg_binary64_2769` `distribute-neg-out_binary64_2768` `distribute-rgt-neg-out_binary64_2766` `distribute-rgt-out--_binary64_2760`
1×	`unpow2_binary64_2871` `unpow1/2_binary64_2870` `unpow1_binary64_2864` `div-exp_binary64_2857` `1-exp_binary64_2850` `rem-3cbrt-lft_binary64_2831` `rem-sqrt-square_binary64_2819` `rem-square-sqrt_binary64_2818` `remove-double-neg_binary64_2794` `+-lft-identity_binary64_2790` `distribute-rgt1-in_binary64_2762` `distribute-lft1-in_binary64_2761` `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-pow_binary64_2895` `log-rec_binary64_2894` `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` `rec-exp_binary64_2856` `prod-exp_binary64_2855` `exp-neg_binary64_2853` `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-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` `*-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-lft-out--_binary64_2758`

Counts

61 → 50

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	105	864
1	224	786
2	440	784
3	928	784
4	3055	784
5	4851	784
6	4978	784
7	4998	784
8	4791	784

prune50.0ms (1.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	45	5	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	5	51

Error

Counts

51 → 5

Compiler

Compiled 652 to 434 computations (33.4% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 x x) -3)
0.1b	(/.f64 1 (/.f64 6 (+.f64 (*.f64 x x) -3)))
0.1b	(/.f64 6 (+.f64 (*.f64 x x) -3))

rewrite173.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

90×	`times-frac_binary64_2812`
55×	`add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
18×	`associate-/r*_binary64_2750`
16×	`add-exp-log_binary64_2844`
11×	`associate-/r/_binary64_2752`
10×	`add-cbrt-cube_binary64_2842`
8×	`div-exp_binary64_2857`
6×	`div-inv_binary64_2803` `flip3-+_binary64_2809` `flip-+_binary64_2780` `associate-/l*_binary64_2751`
5×	`add-log-exp_binary64_2845`
4×	`pow1_binary64_2867` `cbrt-undiv_binary64_2840`
2×	`frac-2neg_binary64_2817` `clear-num_binary64_2805` `1-exp_binary64_2850` `rec-exp_binary64_2856`
1×	`inv-pow_binary64_2891` `pow-flip_binary64_2880` `sum-log_binary64_2897` `+-commutative_binary64_2736`

Counts

3 → 124

Calls

3 calls:

9.0ms	(/.f64 1 (/.f64 6 (+.f64 (*.f64 x x) -3)))
6.0ms	(/.f64 6 (+.f64 (*.f64 x x) -3))
4.0ms	(+.f64 (*.f64 x x) -3)

Compiler

Compiled 2523 to 1809 computations (28.3% saved)

series180.0ms (5.4%)

Error

Counts

3 → 21

Calls

3 calls:

63.0ms	(/.f64 1 (/.f64 6 (+.f64 (*.f64 x x) -3)))
58.0ms	(/.f64 6 (+.f64 (*.f64 x x) -3))
42.0ms	(+.f64 (*.f64 x x) -3)

Compiler

Compiled 548 to 510 computations (6.9% saved)

simplify136.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

592×	`distribute-rgt-in_binary64_2756`
560×	`distribute-lft-in_binary64_2755`
233×	`associate-/r*_binary64_2750`
227×	`associate-l_binary64_2747`
226×	`associate-/r/_binary64_2752`
200×	`associate-/l/_binary64_2753`
189×	`associate-*l/_binary64_2749`
181×	`associate-r_binary64_2746`
175×	`*-commutative_binary64_2737`
160×	`associate-*r/_binary64_2748`
156×	`times-frac_binary64_2812`
153×	`associate-/l*_binary64_2751`
136×	`unswap-sqr_binary64_2774`
98×	`div-sub_binary64_2811`
59×	`sub-neg_binary64_2799`
58×	`cancel-sign-sub-inv_binary64_2772`
55×	`associate-+r+_binary64_2738`
46×	`*-rgt-identity_binary64_2796`
45×	`associate-+l+_binary64_2739`
44×	`exp-prod_binary64_2858`
39×	`distribute-rgt-out_binary64_2759` `+-commutative_binary64_2736`
37×	`sqr-pow_binary64_2778` `distribute-rgt-neg-in_binary64_2764`
31×	`distribute-lft-neg-in_binary64_2763`
23×	`cube-prod_binary64_2834`
22×	`distribute-lft-out_binary64_2757`
20×	`neg-mul-1_binary64_2802` `associate-+r-_binary64_2740`
19×	`/-rgt-identity_binary64_2797`
17×	`neg-sub0_binary64_2801`
16×	`distribute-neg-in_binary64_2767`
15×	`unsub-neg_binary64_2800`
14×	`exp-sum_binary64_2852`
13×	`*-lft-identity_binary64_2795` `associate-+l-_binary64_2741`
12×	`pow-plus_binary64_2869`
11×	`swap-sqr_binary64_2773`
10×	`log-div_binary64_2893` `cube-unmult_binary64_2843`
8×	`cube-div_binary64_2835` `distribute-rgt-out--_binary64_2760` `associate--r+_binary64_2742`
7×	`log-prod_binary64_2892` `unpow3_binary64_2872` `distribute-neg-frac_binary64_2770` `associate--r-_binary64_2745`
6×	`distribute-lft-neg-out_binary64_2765`
5×	`+-rgt-identity_binary64_2791` `+-lft-identity_binary64_2790` `pow-sqr_binary64_2779`
4×	`sub0-neg_binary64_2793` `remove-double-div_binary64_2782`
3×	`log-rec_binary64_2894` `unpow1/2_binary64_2870` `exp-diff_binary64_2854` `distribute-rgt-neg-out_binary64_2766` `distribute-lft-out--_binary64_2758` `associate--l+_binary64_2743`
2×	`unpow2_binary64_2871` `cube-mult_binary64_2836` `--rgt-identity_binary64_2792`
1×	`unpow1_binary64_2864` `prod-exp_binary64_2855` `1-exp_binary64_2850` `exp-1-e_binary64_2849` `rem-sqrt-square_binary64_2819` `distribute-rgt1-in_binary64_2762` `distribute-lft1-in_binary64_2761` `count-2_binary64_2754` `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-pow_binary64_2895` `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` `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-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` `mul-1-neg_binary64_2798` `remove-double-neg_binary64_2794` `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` `difference-of-sqr--1_binary64_2777` `difference-of-sqr-1_binary64_2776` `difference-of-squares_binary64_2775` `cancel-sign-sub_binary64_2771` `distribute-frac-neg_binary64_2769` `distribute-neg-out_binary64_2768`

Counts

145 → 105

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	185	2871
1	386	2698
2	1085	2686
3	2666	2686
4	4895	2686
5	4921	2686

prune103.0ms (3.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	105	5	110

Error

Counts

110 → 5

Compiler

Compiled 1603 to 1134 computations (29.3% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 -1/2 (.f64 1/6 (.f64 x x)))
0.2b	(.f64 1/6 (.f64 x x))

rewrite39.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
4×	`add-log-exp_binary64_2845` `add-sqr-sqrt_binary64_2828`
3×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `add-cube-cbrt_binary64_2841` `cbrt-unprod_binary64_2839` `-un-lft-identity_binary64_2806` `associate-l*_binary64_2747`
1×	`unswap-sqr_binary64_2774` `associate-r_binary64_2746` `*-commutative_binary64_2737` `sum-log_binary64_2897` `flip3-+_binary64_2809` `flip-+_binary64_2780` `+-commutative_binary64_2736`

Counts

2 → 30

Calls

2 calls:

6.0ms	(.f64 1/6 (.f64 x x))
3.0ms	(+.f64 -1/2 (.f64 1/6 (.f64 x x)))

Compiler

Compiled 409 to 266 computations (35% saved)

series105.0ms (3.1%)

Error

Counts

2 → 9

Calls

2 calls:

66.0ms	(+.f64 -1/2 (.f64 1/6 (.f64 x x)))
34.0ms	(.f64 1/6 (.f64 x x))

Compiler

Compiled 148 to 142 computations (4.1% saved)

simplify89.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

605×	`distribute-rgt-in_binary64_2756`
539×	`distribute-lft-in_binary64_2755`
307×	`*-commutative_binary64_2737`
263×	`cancel-sign-sub-inv_binary64_2772` `associate-l_binary64_2747`
248×	`distribute-rgt-neg-in_binary64_2764`
241×	`distribute-rgt-out_binary64_2759`
226×	`distribute-lft-neg-in_binary64_2763`
217×	`associate-r_binary64_2746`
172×	`unswap-sqr_binary64_2774`
118×	`+-commutative_binary64_2736`
115×	`sqr-pow_binary64_2778`
114×	`associate-/l/_binary64_2753`
109×	`distribute-lft-out_binary64_2757`
97×	`sub-neg_binary64_2799`
82×	`times-frac_binary64_2812`
79×	`associate-+l+_binary64_2739`
71×	`associate-+r+_binary64_2738`
62×	`unsub-neg_binary64_2800`
56×	`log-prod_binary64_2892`
55×	`neg-mul-1_binary64_2802`
53×	`exp-prod_binary64_2858`
52×	`neg-sub0_binary64_2801`
47×	`cube-prod_binary64_2834`
39×	`distribute-rgt-out--_binary64_2760`
37×	`pow-sqr_binary64_2779`
36×	`count-2_binary64_2754`
33×	`associate-/l*_binary64_2751`
26×	`unpow3_binary64_2872`
19×	`pow-plus_binary64_2869` `cube-mult_binary64_2836`
18×	`log-pow_binary64_2895` `distribute-neg-in_binary64_2767`
17×	`associate-+l-_binary64_2741`
14×	`mul0-rgt_binary64_2789` `mul0-lft_binary64_2788` `associate--r+_binary64_2742`
13×	`distribute-rgt-neg-out_binary64_2766` `distribute-lft-neg-out_binary64_2765` `associate-/r/_binary64_2752` `associate-/r*_binary64_2750`
12×	`swap-sqr_binary64_2773`
11×	`cube-unmult_binary64_2843`
10×	`associate-+r-_binary64_2740`
9×	`associate-*r/_binary64_2748`
8×	`sub0-neg_binary64_2793`
6×	`associate--l+_binary64_2743`
5×	`+-rgt-identity_binary64_2791` `distribute-lft-out--_binary64_2758`
4×	`unpow2_binary64_2871` `associate-*l/_binary64_2749`
3×	`-rgt-identity_binary64_2796` `-lft-identity_binary64_2795` `--rgt-identity_binary64_2792`
2×	`exp-diff_binary64_2854` `remove-double-neg_binary64_2794` `associate--l-_binary64_2744`
1×	`unpow1/2_binary64_2870` `unpow1_binary64_2864` `prod-exp_binary64_2855` `exp-sum_binary64_2852` `1-exp_binary64_2850` `rem-sqrt-square_binary64_2819` `/-rgt-identity_binary64_2797` `+-lft-identity_binary64_2790`
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-lft-sqr_binary64_2861` `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-1-e_binary64_2849` `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` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `sqr-abs_binary64_2821` `sqr-neg_binary64_2820` `rem-square-sqrt_binary64_2818` `div-sub_binary64_2811` `mul-1-neg_binary64_2798` `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-rgt1-in_binary64_2762` `distribute-lft1-in_binary64_2761` `associate--r-_binary64_2745`

Counts

39 → 24

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	62	427
1	147	397
2	372	385
3	1037	385
4	2062	385
5	4086	385
6	4809	385
7	4851	385

prune23.0ms (0.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	24	5	29

Error

Counts

29 → 5

Compiler

Compiled 279 to 201 computations (28% saved)

localize5.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 -1/2 (.f64 (.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6))))
0.0b	(*.f64 x (sqrt.f64 1/6))
0.0b	(*.f64 x (sqrt.f64 1/6))
0.4b	(.f64 (.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)))

rewrite134.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

47×	`pow1_binary64_2867`
20×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
19×	`pow-prod-down_binary64_2877`
18×	`add-sqr-sqrt_binary64_2828`
13×	`associate-r_binary64_2746`
10×	`prod-exp_binary64_2855` `add-cube-cbrt_binary64_2841` `cbrt-unprod_binary64_2839` `*-un-lft-identity_binary64_2806`
8×	`sqrt-prod_binary64_2822`
7×	`associate-l_binary64_2747`
6×	`add-log-exp_binary64_2845`
4×	`pow-prod-up_binary64_2876` `pow-sqr_binary64_2779` `unswap-sqr_binary64_2774`
3×	`*-commutative_binary64_2737`
2×	`pow-plus_binary64_2869`
1×	`pow2_binary64_2887` `swap-sqr_binary64_2773` `sum-log_binary64_2897` `flip3-+_binary64_2809` `flip-+_binary64_2780` `+-commutative_binary64_2736`

Counts

4 → 89

Calls

4 calls:

9.0ms	(.f64 (.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)))
5.0ms	(*.f64 x (sqrt.f64 1/6))
5.0ms	(*.f64 x (sqrt.f64 1/6))
4.0ms	(+.f64 -1/2 (.f64 (.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6))))

Compiler

Compiled 1515 to 1246 computations (17.8% saved)

series292.0ms (8.7%)

Error

Counts

4 → 15

Calls

4 calls:

105.0ms	(+.f64 -1/2 (.f64 (.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6))))
76.0ms	(.f64 (.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)))
50.0ms	(*.f64 x (sqrt.f64 1/6))
48.0ms	(*.f64 x (sqrt.f64 1/6))

Compiler

Compiled 412 to 382 computations (7.3% saved)

simplify103.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

315×	`distribute-rgt-neg-in_binary64_2764`
305×	`cancel-sign-sub-inv_binary64_2772`
298×	`*-commutative_binary64_2737`
289×	`distribute-lft-neg-in_binary64_2763`
251×	`sqr-pow_binary64_2778`
234×	`+-commutative_binary64_2736`
231×	`unswap-sqr_binary64_2774`
221×	`distribute-rgt-in_binary64_2756`
210×	`distribute-lft-in_binary64_2755`
185×	`distribute-rgt-out_binary64_2759`
163×	`associate-+l+_binary64_2739`
162×	`sub-neg_binary64_2799`
145×	`associate-+r+_binary64_2738`
140×	`neg-mul-1_binary64_2802`
133×	`neg-sub0_binary64_2801`
130×	`associate-l_binary64_2747`
126×	`associate-r_binary64_2746`
116×	`associate-/l*_binary64_2751`
104×	`distribute-lft-out_binary64_2757`
97×	`pow-sqr_binary64_2779`
82×	`swap-sqr_binary64_2773`
80×	`exp-prod_binary64_2858`
76×	`log-prod_binary64_2892`
72×	`cube-prod_binary64_2834`
60×	`times-frac_binary64_2812`
53×	`distribute-rgt-out--_binary64_2760` `associate-/l/_binary64_2753`
51×	`associate-/r/_binary64_2752`
46×	`associate-/r*_binary64_2750`
41×	`associate-*r/_binary64_2748`
32×	`associate-+l-_binary64_2741`
31×	`unsub-neg_binary64_2800`
27×	`rem-sqrt-square_binary64_2819`
24×	`unpow3_binary64_2872` `associate-+r-_binary64_2740`
22×	`associate-*l/_binary64_2749`
20×	`div-sub_binary64_2811`
17×	`cube-mult_binary64_2836`
14×	`*-lft-identity_binary64_2795` `+-rgt-identity_binary64_2791` `associate--r+_binary64_2742`
13×	`log-div_binary64_2893` `cube-div_binary64_2835` `sub0-neg_binary64_2793`
12×	`*-rgt-identity_binary64_2796`
11×	`pow-plus_binary64_2869` `count-2_binary64_2754`
10×	`unpow1/2_binary64_2870` `distribute-lft-neg-out_binary64_2765`
9×	`log-pow_binary64_2895`
8×	`mul0-rgt_binary64_2789` `mul0-lft_binary64_2788`
6×	`cube-unmult_binary64_2843` `associate--l+_binary64_2743`
5×	`distribute-rgt1-in_binary64_2762`
4×	`remove-double-neg_binary64_2794` `--rgt-identity_binary64_2792` `distribute-lft-out--_binary64_2758`
3×	`unpow2_binary64_2871` `unpow1_binary64_2864` `distribute-lft1-in_binary64_2761`
2×	`exp-sqrt_binary64_2859` `exp-neg_binary64_2853` `cube-neg_binary64_2833` `sqr-neg_binary64_2820` `distribute-rgt-neg-out_binary64_2766` `associate--l-_binary64_2744`
1×	`exp-lft-sqr_binary64_2861` `prod-exp_binary64_2855` `exp-diff_binary64_2854` `1-exp_binary64_2850` `exp-1-e_binary64_2849` `rem-square-sqrt_binary64_2818` `/-rgt-identity_binary64_2797` `distribute-frac-neg_binary64_2769` `distribute-neg-in_binary64_2767`
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` `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` `div-exp_binary64_2857` `rec-exp_binary64_2856` `exp-sum_binary64_2852` `e-exp-1_binary64_2851` `exp-0_binary64_2848` `rem-log-exp_binary64_2847` `rem-exp-log_binary64_2846` `rem-3cbrt-rft_binary64_2832` `rem-3cbrt-lft_binary64_2831` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `sqr-abs_binary64_2821` `mul-1-neg_binary64_2798` `+-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` `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-neg-out_binary64_2768` `associate--r-_binary64_2745`

Counts

104 → 62

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	85	920
1	194	859
2	656	838
3	1413	838
4	3179	838
5	4310	838
6	4886	838

prune51.0ms (1.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	62	5	67

Error

Counts

67 → 5

Compiler

Compiled 662 to 495 computations (25.2% saved)

regimes280.0ms (8.4%)

Accuracy

Total 0.1b remaining (99.6%)

Threshold costs 0.1b (99.6%)

Compiler

Compiled 2572 to 2118 computations (17.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`sub-neg_binary64_2799` `+-commutative_binary64_2736`
1×	`neg-mul-1_binary64_2802` `neg-sub0_binary64_2801` `*-commutative_binary64_2737`
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` `1-exp_binary64_2850` `exp-1-e_binary64_2849` `exp-0_binary64_2848` `sqr-abs_binary64_2821` `sqr-neg_binary64_2820` `unsub-neg_binary64_2800` `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-neg-frac_binary64_2770` `distribute-frac-neg_binary64_2769` `distribute-neg-out_binary64_2768` `distribute-neg-in_binary64_2767` `distribute-rgt-neg-out_binary64_2766` `distribute-lft-neg-out_binary64_2765` `distribute-rgt-neg-in_binary64_2764` `distribute-lft-neg-in_binary64_2763`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	9	10
2	14	10
3	16	10
4	17	10
5	17	10

end0.0ms (0%)

sample1.1s (32%)

Algorithm

1×

intervals

Results

174.0ms

8000×

body

128

valid

Compiler

Compiled 650 to 537 computations (17.4% saved)

Details

analyze150.0ms (4.5%)

sample12.0ms (0.4%)

simplify9.0ms (0.3%)

prune1.0ms (0%)

localize4.0ms (0.1%)

rewrite63.0ms (1.9%)

series137.0ms (4.1%)

simplify124.0ms (3.7%)

prune50.0ms (1.5%)

localize6.0ms (0.2%)

rewrite173.0ms (5.2%)

series180.0ms (5.4%)

simplify136.0ms (4.1%)

prune103.0ms (3.1%)

localize4.0ms (0.1%)

rewrite39.0ms (1.2%)

series105.0ms (3.1%)

simplify89.0ms (2.6%)

prune23.0ms (0.7%)

localize5.0ms (0.2%)

rewrite134.0ms (4%)

series292.0ms (8.7%)

simplify103.0ms (3.1%)

prune51.0ms (1.5%)

regimes280.0ms (8.4%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.1s (32%)

Profiling