Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample20.0ms (1%)

Algorithm

1×

intervals

Results

5.0ms	256×	pre	128	true
4.0ms	256×	body	128	valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify104.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

24×	`associate-+l+_binary64_2739`
18×	`associate-+r+_binary64_2738`
10×	`distribute-rgt-in_binary64_2756`
8×	`*-commutative_binary64_2737`
6×	`distribute-rgt-out_binary64_2759` `distribute-lft-in_binary64_2755`
4×	`associate-r_binary64_2746`
3×	`count-2_binary64_2754` `+-commutative_binary64_2736`
2×	`associate-l_binary64_2747`
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` `div-sub_binary64_2811` `neg-mul-1_binary64_2802` `neg-sub0_binary64_2801` `unsub-neg_binary64_2800` `sub-neg_binary64_2799` `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-lft-out--_binary64_2758` `distribute-lft-out_binary64_2757` `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` `associate--l+_binary64_2743` `associate--r+_binary64_2742` `associate-+l-_binary64_2741` `associate-+r-_binary64_2740`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	12	10
2	24	10
3	36	10
4	53	10
5	63	10
6	68	10
7	70	10
8	70	10

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

1 → 1

Compiler

Compiled 7 to 4 computations (42.9% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 a b) (+.f64 a b))

rewrite38.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`*-un-lft-identity_binary64_2806`
8×	`pow1_binary64_2867`
7×	`add-sqr-sqrt_binary64_2828`
6×	`flip3-+_binary64_2809` `flip-+_binary64_2780` `swap-sqr_binary64_2773` `distribute-lft-out_binary64_2757`
5×	`add-cube-cbrt_binary64_2841`
4×	`frac-times_binary64_2816` `associate-l_binary64_2747` `associate-r_binary64_2746`
3×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
2×	`associate-l/_binary64_2749` `associate-r/_binary64_2748`
1×	`pow2_binary64_2887` `pow-prod-down_binary64_2877` `pow-prod-up_binary64_2876` `pow-plus_binary64_2869` `prod-exp_binary64_2855` `add-log-exp_binary64_2845` `cbrt-unprod_binary64_2839` `pow-sqr_binary64_2779` `unswap-sqr_binary64_2774` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `*-commutative_binary64_2737`

Counts

1 → 40

Calls

1 calls:

9.0ms

(*.f64 (+.f64 a b) (+.f64 a b))

Compiler

Compiled 610 to 146 computations (76.1% saved)

series95.0ms (4.7%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

84.0ms

(*.f64 (+.f64 a b) (+.f64 a b))

Compiler

Compiled 378 to 297 computations (21.4% saved)

simplify80.0ms (4%)

Algorithm

1×	egg-herbie

Rules

755×	`associate-+l+_binary64_2739`
594×	`unswap-sqr_binary64_2774`
433×	`distribute-rgt-in_binary64_2756`
424×	`distribute-lft-in_binary64_2755`
187×	`*-commutative_binary64_2737`
81×	`associate-l_binary64_2747`
77×	`associate-r_binary64_2746`
69×	`distribute-lft-neg-out_binary64_2765`
67×	`exp-prod_binary64_2858` `distribute-rgt-neg-out_binary64_2766`
64×	`associate-+r+_binary64_2738`
61×	`sqr-pow_binary64_2778`
58×	`unsub-neg_binary64_2800`
50×	`swap-sqr_binary64_2773`
45×	`distribute-rgt-out_binary64_2759`
44×	`exp-sum_binary64_2852`
42×	`*-rgt-identity_binary64_2796`
41×	`log-prod_binary64_2892` `*-lft-identity_binary64_2795`
34×	`distribute-rgt-neg-in_binary64_2764`
30×	`distribute-lft-neg-in_binary64_2763`
28×	`neg-mul-1_binary64_2802` `neg-sub0_binary64_2801`
26×	`cancel-sign-sub-inv_binary64_2772`
24×	`sub-neg_binary64_2799`
17×	`cube-prod_binary64_2834`
16×	`pow-sqr_binary64_2779`
15×	`+-commutative_binary64_2736`
14×	`pow-plus_binary64_2869` `difference-of-squares_binary64_2775` `associate-+l-_binary64_2741`
13×	`associate-/l*_binary64_2751`
12×	`associate-+r-_binary64_2740`
10×	`cube-unmult_binary64_2843`
9×	`distribute-lft-out_binary64_2757` `associate-/r*_binary64_2750`
8×	`distribute-neg-out_binary64_2768` `distribute-neg-in_binary64_2767`
7×	`log-pow_binary64_2895`
6×	`unpow3_binary64_2872`
5×	`rem-sqrt-square_binary64_2819` `+-rgt-identity_binary64_2791` `count-2_binary64_2754` `associate-/l/_binary64_2753` `associate-*r/_binary64_2748`
4×	`distribute-rgt-out--_binary64_2760` `associate-/r/_binary64_2752` `associate--r+_binary64_2742`
3×	`unpow1/2_binary64_2870` `cube-mult_binary64_2836` `sqr-neg_binary64_2820` `sub0-neg_binary64_2793`
2×	`unpow2_binary64_2871` `unpow1_binary64_2864`
1×	`1-exp_binary64_2850` `exp-1-e_binary64_2849` `rem-3cbrt-rft_binary64_2832` `rem-3cbrt-lft_binary64_2831` `rem-square-sqrt_binary64_2818` `associate--l+_binary64_2743`
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` `prod-exp_binary64_2855` `exp-diff_binary64_2854` `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-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `sqr-abs_binary64_2821` `times-frac_binary64_2812` `div-sub_binary64_2811` `mul-1-neg_binary64_2798` `/-rgt-identity_binary64_2797` `remove-double-neg_binary64_2794` `--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-rgt1-in_binary64_2762` `distribute-lft1-in_binary64_2761` `distribute-lft-out--_binary64_2758` `associate-l/_binary64_2749` `associate--r-_binary64_2745` `associate--l-_binary64_2744`

Counts

58 → 161

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	902
1	192	770
2	686	733
3	2169	634
4	4990	634
5	4969	634

prune103.0ms (5.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	159	2	161
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	159	3	162

Error

Counts

162 → 3

Compiler

Compiled 2209 to 724 computations (67.2% saved)

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 2 (.f64 b a)) (*.f64 a a))

rewrite16.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

3×	`add-log-exp_binary64_2845`
1×	`sum-log_binary64_2897` `pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828` `flip3-+_binary64_2809` `*-un-lft-identity_binary64_2806` `flip-+_binary64_2780` `+-commutative_binary64_2736`

Counts

1 → 11

Calls

1 calls:

6.0ms

(+.f64 (*.f64 2 (*.f64 b a)) (*.f64 a a))

Compiler

Compiled 264 to 109 computations (58.7% saved)

series110.0ms (5.5%)

Error

Counts

1 → 12

Calls

1 calls:

104.0ms

(+.f64 (*.f64 2 (*.f64 b a)) (*.f64 a a))

Compiler

Compiled 330 to 217 computations (34.2% saved)

simplify60.0ms (3%)

Algorithm

1×	egg-herbie

Rules

432×	`unswap-sqr_binary64_2774`
424×	`associate-l_binary64_2747`
384×	`distribute-rgt-out_binary64_2759`
343×	`associate-r_binary64_2746`
325×	`distribute-rgt-in_binary64_2756`
300×	`distribute-lft-in_binary64_2755`
290×	`cancel-sign-sub-inv_binary64_2772`
240×	`distribute-lft-out_binary64_2757`
208×	`distribute-rgt-neg-in_binary64_2764`
190×	`distribute-lft-neg-in_binary64_2763`
119×	`unsub-neg_binary64_2800`
113×	`sub-neg_binary64_2799`
108×	`sqr-pow_binary64_2778`
96×	`neg-mul-1_binary64_2802`
94×	`neg-sub0_binary64_2801` `associate-+l+_binary64_2739`
88×	`distribute-rgt-out--_binary64_2760` `associate-+r+_binary64_2738`
81×	`*-commutative_binary64_2737`
45×	`exp-prod_binary64_2858`
44×	`cube-prod_binary64_2834`
43×	`+-commutative_binary64_2736`
39×	`distribute-lft-out--_binary64_2758`
31×	`distribute-lft-neg-out_binary64_2765`
30×	`pow-sqr_binary64_2779`
21×	`associate-+l-_binary64_2741`
20×	`unpow3_binary64_2872`
19×	`swap-sqr_binary64_2773`
16×	`difference-of-squares_binary64_2775` `associate-+r-_binary64_2740`
15×	`mul0-rgt_binary64_2789` `mul0-lft_binary64_2788`
14×	`cube-mult_binary64_2836` `sub0-neg_binary64_2793` `distribute-neg-in_binary64_2767`
13×	`distribute-rgt-neg-out_binary64_2766`
11×	`+-rgt-identity_binary64_2791`
10×	`prod-exp_binary64_2855` `cube-unmult_binary64_2843`
9×	`exp-sum_binary64_2852`
8×	`pow-plus_binary64_2869`
7×	`log-prod_binary64_2892` `associate-/l*_binary64_2751`
5×	`associate-/l/_binary64_2753` `associate-*r/_binary64_2748`
4×	`unpow1_binary64_2864` `associate--r+_binary64_2742`
3×	`exp-lft-sqr_binary64_2861` `+-lft-identity_binary64_2790` `associate-/r/_binary64_2752`
2×	`log-pow_binary64_2895` `unpow1/2_binary64_2870` `times-frac_binary64_2812` `associate-/r*_binary64_2750`
1×	`unpow2_binary64_2871` `1-exp_binary64_2850` `rem-sqrt-square_binary64_2819` `remove-double-neg_binary64_2794` `count-2_binary64_2754` `associate--l+_binary64_2743`
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-diff_binary64_2854` `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` `/-rgt-identity_binary64_2797` `-rgt-identity_binary64_2796` `-lft-identity_binary64_2795` `--rgt-identity_binary64_2792` `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-rgt1-in_binary64_2762` `distribute-lft1-in_binary64_2761` `associate-l/_binary64_2749` `associate--r-_binary64_2745` `associate--l-_binary64_2744`

Counts

23 → 66

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	367
1	113	280
2	392	274
3	1590	274
4	4346	274
5	5308	274

prune62.0ms (3.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	66	3	69

Error

Counts

69 → 3

Compiler

Compiled 1639 to 741 computations (54.8% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 a (+.f64 (.f64 b 2) a))

rewrite26.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

5×	`add-sqr-sqrt_binary64_2828`
3×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `add-cube-cbrt_binary64_2841` `-un-lft-identity_binary64_2806` `associate-l_binary64_2747` `associate-r*_binary64_2746`
2×	`associate-*r/_binary64_2748`
1×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `add-log-exp_binary64_2845` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `flip3-+_binary64_2809` `flip-+_binary64_2780` `*-commutative_binary64_2737`

Counts

1 → 22

Calls

1 calls:

7.0ms

(*.f64 a (+.f64 (*.f64 b 2) a))

Compiler

Compiled 406 to 223 computations (45.1% saved)

series103.0ms (5.1%)

Error

Counts

1 → 12

Calls

1 calls:

95.0ms

(*.f64 a (+.f64 (*.f64 b 2) a))

Compiler

Compiled 330 to 217 computations (34.2% saved)

simplify78.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

512×	`unswap-sqr_binary64_2774`
508×	`distribute-rgt-out_binary64_2759`
414×	`associate-l_binary64_2747`
325×	`associate-+r+_binary64_2738`
306×	`associate-r_binary64_2746`
281×	`associate-+l+_binary64_2739`
254×	`distribute-rgt-in_binary64_2756`
249×	`distribute-lft-in_binary64_2755`
106×	`sqr-pow_binary64_2778`
93×	`exp-prod_binary64_2858`
88×	`*-commutative_binary64_2737`
81×	`distribute-rgt-neg-in_binary64_2764`
75×	`rem-sqrt-square_binary64_2819`
73×	`distribute-lft-out_binary64_2757`
71×	`+-commutative_binary64_2736`
63×	`distribute-lft-neg-in_binary64_2763`
48×	`neg-mul-1_binary64_2802`
46×	`associate-/l*_binary64_2751`
38×	`swap-sqr_binary64_2773`
26×	`*-rgt-identity_binary64_2796` `cancel-sign-sub-inv_binary64_2772`
25×	`*-lft-identity_binary64_2795` `pow-sqr_binary64_2779`
22×	`distribute-neg-in_binary64_2767`
19×	`log-prod_binary64_2892` `cube-prod_binary64_2834`
17×	`neg-sub0_binary64_2801`
14×	`pow-plus_binary64_2869` `unsub-neg_binary64_2800` `distribute-lft-neg-out_binary64_2765`
12×	`sub-neg_binary64_2799`
11×	`unpow3_binary64_2872` `unpow1/2_binary64_2870`
10×	`cube-unmult_binary64_2843` `distribute-rgt1-in_binary64_2762`
9×	`distribute-rgt-neg-out_binary64_2766`
8×	`exp-sum_binary64_2852` `associate-/l/_binary64_2753`
7×	`difference-of-squares_binary64_2775`
6×	`prod-exp_binary64_2855`
5×	`exp-lft-sqr_binary64_2861` `count-2_binary64_2754` `associate-/r*_binary64_2750` `associate--r+_binary64_2742`
4×	`log-pow_binary64_2895` `cube-mult_binary64_2836`
3×	`times-frac_binary64_2812` `associate-/r/_binary64_2752` `associate-*r/_binary64_2748`
2×	`sub0-neg_binary64_2793` `+-rgt-identity_binary64_2791` `distribute-rgt-out--_binary64_2760` `associate-+l-_binary64_2741` `associate-+r-_binary64_2740`
1×	`unpow2_binary64_2871` `unpow1_binary64_2864` `1-exp_binary64_2850` `exp-1-e_binary64_2849` `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` `exp-diff_binary64_2854` `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` `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` `/-rgt-identity_binary64_2797` `remove-double-neg_binary64_2794` `--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-lft-out--_binary64_2758` `associate-l/_binary64_2749` `associate--r-_binary64_2745` `associate--l-_binary64_2744` `associate--l+_binary64_2743`

Counts

34 → 73

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	421
1	146	379
2	491	379
3	1551	379
4	3160	379
5	4853	379
6	4942	379

prune53.0ms (2.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	73	3	76

Error

Counts

76 → 3

Compiler

Compiled 1363 to 549 computations (59.7% saved)

regimes139.0ms (6.9%)

Accuracy

Total 0.0b remaining (98.4%)

Threshold costs 0.0b (98.4%)

Compiler

Compiled 1116 to 752 computations (32.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2× *-commutative_binary64_2737 +-commutative_binary64_2736

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 neg-mul-1_binary64_2802 neg-sub0_binary64_2801 unsub-neg_binary64_2800 sub-neg_binary64_2799 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	16
1	11	16
2	11	16

end0.0ms (0%)

sample896.0ms (44.6%)

Algorithm

1×

intervals

Results

185.0ms	8000×	pre	128	true
133.0ms	8000×	body	128	valid

Compiler

Compiled 297 to 197 computations (33.7% saved)

Details

analyze2.0ms (0.1%)

sample20.0ms (1%)

simplify104.0ms (5.2%)

prune1.0ms (0.1%)

localize3.0ms (0.2%)

rewrite38.0ms (1.9%)

series95.0ms (4.7%)

simplify80.0ms (4%)

prune103.0ms (5.2%)

localize8.0ms (0.4%)

rewrite16.0ms (0.8%)

series110.0ms (5.5%)

simplify60.0ms (3%)

prune62.0ms (3.1%)

localize7.0ms (0.3%)

rewrite26.0ms (1.3%)

series103.0ms (5.1%)

simplify78.0ms (3.9%)

prune53.0ms (2.6%)

regimes139.0ms (6.9%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample896.0ms (44.6%)

Profiling