Details

analyze2.4s (12.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

331×	`associate-+l+_binary64_2739`
298×	`associate-+r+_binary64_2738`
225×	`+-commutative_binary64_2736`
28×	`*-commutative_binary64_2737`
1×	`swap-x-y` `swap-z-t` `swap-a-b` `swap-c-i`
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-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_2752` `associate-/l_binary64_2751` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	638
1	274	638
2	574	638
3	712	638
4	694	638
5	691	638
0	8	8
1	8	8

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

Symmetry

(sort x y)

(sort z t)

(sort a b)

(sort c i)

Compiler

Compiled 16 to 16 computations (0% saved)

sample92.0ms (0.5%)

Algorithm

1×

intervals

Results

18.0ms	256×	body	128	valid
10.0ms	204×	body	128	invalid

Compiler

Compiled 31 to 39 computations (-25.8% saved)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

24×	`associate-+l+_binary64_2739`
22×	`associate-+r+_binary64_2738`
17×	`+-commutative_binary64_2736`
4×	`*-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` `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-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_2752` `associate-/l_binary64_2751` `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`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	22
1	27	22
2	47	22
3	67	22
4	67	22
5	67	22

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

1 → 1

Compiler

Compiled 15 to 15 computations (0% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))

rewrite290.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`add-log-exp_binary64_2845`
10×	`sum-log_binary64_2897`
3×	`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`
2×	`associate-+l+_binary64_2739`

Counts

3 → 38

Calls

3 calls:

232.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
10.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
4.0ms	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 1006 to 161 computations (84% saved)

series1.4s (7.2%)

Error

0.0b

Counts

3 → 108

Calls

3 calls:

721.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
426.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
199.0ms	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 3266 to 2266 computations (30.6% saved)

simplify120.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

679×	`distribute-rgt-in_binary64_2756`
640×	`distribute-lft-in_binary64_2755`
475×	`associate-l_binary64_2747`
359×	`associate-r_binary64_2746`
277×	`associate-+l+_binary64_2739`
242×	`sub-neg_binary64_2799`
139×	`cancel-sign-sub-inv_binary64_2772`
97×	`neg-mul-1_binary64_2802`
93×	`distribute-rgt-neg-in_binary64_2764`
84×	`unsub-neg_binary64_2800`
74×	`neg-sub0_binary64_2801`
72×	`distribute-lft-neg-in_binary64_2763`
62×	`associate--r+_binary64_2742`
54×	`*-commutative_binary64_2737`
47×	`sqr-pow_binary64_2778` `associate--l+_binary64_2743`
45×	`distribute-rgt-out_binary64_2759`
38×	`+-commutative_binary64_2736`
34×	`associate-+r-_binary64_2740`
24×	`distribute-lft-neg-out_binary64_2765` `associate-+l-_binary64_2741`
22×	`distribute-neg-in_binary64_2767`
21×	`prod-exp_binary64_2855` `distribute-rgt-out--_binary64_2760` `associate-+r+_binary64_2738`
20×	`unpow3_binary64_2872`
18×	`distribute-lft-out_binary64_2757`
17×	`unswap-sqr_binary64_2774`
16×	`exp-sum_binary64_2852`
14×	`cube-mult_binary64_2836` `cube-prod_binary64_2834`
8×	`exp-prod_binary64_2858` `swap-sqr_binary64_2773` `distribute-lft-out--_binary64_2758`
7×	`cube-unmult_binary64_2843`
4×	`pow-sqr_binary64_2779`
3×	`difference-of-squares_binary64_2775` `distribute-rgt-neg-out_binary64_2766`
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` `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` `div-exp_binary64_2857` `rec-exp_binary64_2856` `exp-diff_binary64_2854` `exp-neg_binary64_2853` `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-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-sqrt-square_binary64_2819` `rem-square-sqrt_binary64_2818` `times-frac_binary64_2812` `div-sub_binary64_2811` `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` `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` `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--r-_binary64_2745` `associate--l-_binary64_2744`

Counts

146 → 89

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	2264
1	299	2219
2	1066	2201
3	4725	2201
4	4971	2201
5	5006	2201

prune80.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	85	4	89
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	5	90

Error

0.0b

Counts

90 → 5

Compiler

Compiled 1765 to 208 computations (88.2% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 t z) (.f64 x y))) (cbrt.f64 (+.f64 (.f64 t z) (*.f64 x y))))
1.3b	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
1.3b	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
1.3b	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))

rewrite162.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_2837`
23×	`add-sqr-sqrt_binary64_2828`
18×	`cbrt-div_binary64_2838`
15×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
11×	`pow1_binary64_2867`
9×	`pow1/3_binary64_2888` `flip3-+_binary64_2809` `flip-+_binary64_2780`
6×	`add-exp-log_binary64_2844` `swap-sqr_binary64_2773` `associate-l_binary64_2747` `associate-r_binary64_2746`
4×	`add-log-exp_binary64_2845` `add-cbrt-cube_binary64_2842` `frac-times_binary64_2816` `unswap-sqr_binary64_2774`
2×	`pow-prod-down_binary64_2877` `pow-prod-up_binary64_2876` `pow-sqr_binary64_2779` `associate-l/_binary64_2749` `associate-r/_binary64_2748`
1×	`pow2_binary64_2887` `pow-plus_binary64_2869` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `*-commutative_binary64_2737`

Counts

4 → 87

Calls

4 calls:

15.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 t z) (.f64 x y))) (cbrt.f64 (+.f64 (.f64 t z) (*.f64 x y))))
4.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
4.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
4.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))

Compiler

Compiled 4088 to 517 computations (87.4% saved)

series1.9s (9.7%)

Error

0.0b

Counts

4 → 89

Calls

4 calls:

501.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 t z) (.f64 x y))) (cbrt.f64 (+.f64 (.f64 t z) (*.f64 x y))))
424.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
415.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
414.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))

Compiler

Compiled 11285 to 6935 computations (38.5% saved)

simplify196.0ms (1%)

Algorithm

1×	egg-herbie

Rules

781×	`associate-/l*_binary64_2751`
278×	`associate-/r/_binary64_2752`
195×	`associate-r_binary64_2746`
152×	`associate-l_binary64_2747`
148×	`*-commutative_binary64_2737`
144×	`times-frac_binary64_2812`
120×	`distribute-rgt-in_binary64_2756`
116×	`unswap-sqr_binary64_2774`
109×	`distribute-lft-in_binary64_2755`
99×	`sqr-pow_binary64_2778`
90×	`associate-/r*_binary64_2750`
88×	`cancel-sign-sub-inv_binary64_2772`
72×	`sub-neg_binary64_2799`
66×	`log-prod_binary64_2892`
65×	`associate-/l/_binary64_2753`
64×	`exp-sum_binary64_2852`
63×	`distribute-rgt-neg-in_binary64_2764`
60×	`distribute-lft-neg-in_binary64_2763`
52×	`associate-l/_binary64_2749` `associate-r/_binary64_2748`
50×	`exp-prod_binary64_2858`
42×	`neg-mul-1_binary64_2802` `neg-sub0_binary64_2801`
40×	`+-commutative_binary64_2736`
37×	`distribute-rgt-out_binary64_2759`
36×	`exp-to-pow_binary64_2868`
32×	`unpow1/3_binary64_2873` `distribute-lft-neg-out_binary64_2765`
28×	`unsub-neg_binary64_2800` `distribute-lft-out_binary64_2757`
25×	`distribute-rgt-neg-out_binary64_2766`
24×	`log-pow_binary64_2895`
20×	`distribute-neg-out_binary64_2768`
16×	`exp-diff_binary64_2854` `div-sub_binary64_2811` `pow-sqr_binary64_2779` `distribute-lft-out--_binary64_2758`
15×	`cube-prod_binary64_2834`
12×	`unpow3_binary64_2872` `pow-plus_binary64_2869` `distribute-neg-in_binary64_2767`
9×	`*-rgt-identity_binary64_2796` `distribute-rgt-out--_binary64_2760`
8×	`log-div_binary64_2893` `*-lft-identity_binary64_2795` `remove-double-neg_binary64_2794` `associate--r-_binary64_2745`
6×	`cube-mult_binary64_2836` `swap-sqr_binary64_2773`
5×	`unpow1/2_binary64_2870`
4×	`log-rec_binary64_2894` `unpow2_binary64_2871` `unpow1_binary64_2864` `cube-unmult_binary64_2843`
3×	`rem-sqrt-square_binary64_2819`
2×	`rem-3cbrt-lft_binary64_2831` `count-2_binary64_2754`
1×	`1-exp_binary64_2850` `exp-1-e_binary64_2849` `rem-3cbrt-rft_binary64_2832` `rem-square-sqrt_binary64_2818` `difference-of-squares_binary64_2775` `associate-+l-_binary64_2741` `associate-+r-_binary64_2740` `associate-+l+_binary64_2739`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3069` `erf-erfc_binary64_3068` `erf-odd_binary64_3067` `if-if-and-not_binary64_3066` `if-if-and_binary64_3065` `if-if-or-not_binary64_3064` `if-if-or_binary64_3063` `if-not_binary64_3062` `if-same_binary64_3061` `if-false_binary64_3060` `if-true_binary64_3059` `not-gte_binary64_3058` `not-lte_binary64_3057` `not-gt_binary64_3056` `not-lt_binary64_3055` `gte-same_binary64_3054` `lte-same_binary64_3053` `gt-same_binary64_3052` `lt-same_binary64_3051` `sinh---cosh_binary64_2998` `sinh-+-cosh_binary64_2997` `sinh-cosh_binary64_2996` `tanh-def-c_binary64_2995` `tanh-def-b_binary64_2994` `tanh-def-a_binary64_2993` `cosh-def_binary64_2992` `sinh-def_binary64_2991` `tan-neg_binary64_2938` `cos-neg_binary64_2937` `sin-neg_binary64_2936` `tan-0_binary64_2935` `cos-0_binary64_2934` `sin-0_binary64_2933` `hang-m-tan_binary64_2932` `hang-p-tan_binary64_2931` `hang-m0-tan_binary64_2930` `hang-p0-tan_binary64_2929` `hang-0m-tan_binary64_2928` `hang-0p-tan_binary64_2927` `tan-+PI/2_binary64_2926` `tan-+PI_binary64_2925` `tan-PI_binary64_2924` `tan-PI/3_binary64_2923` `tan-PI/4_binary64_2922` `tan-PI/6_binary64_2921` `cos-+PI/2_binary64_2920` `cos-+PI_binary64_2919` `cos-PI_binary64_2918` `cos-PI/2_binary64_2917` `cos-PI/3_binary64_2916` `cos-PI/4_binary64_2915` `cos-PI/6_binary64_2914` `sin-+PI/2_binary64_2913` `sin-+PI_binary64_2912` `sin-PI_binary64_2911` `sin-PI/2_binary64_2910` `sin-PI/3_binary64_2909` `sin-PI/4_binary64_2908` `sin-PI/6_binary64_2907` `sub-1-sin_binary64_2906` `sub-1-cos_binary64_2905` `-1-add-sin_binary64_2904` `-1-add-cos_binary64_2903` `1-sub-sin_binary64_2902` `1-sub-cos_binary64_2901` `cos-sin-sum_binary64_2900` `log-E_binary64_2896` `pow-base-0_binary64_2890` `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-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` `sqr-neg_binary64_2820` `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` `associate--l-_binary64_2744` `associate--l+_binary64_2743` `associate--r+_binary64_2742` `associate-+r+_binary64_2738`

Counts

176 → 159

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	260	5073
1	705	4815
2	2162	4533
3	4915	4403
4	4982	4355
5	4979	4355

prune231.0ms (1.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	159	5	164

Error

0.0b

Counts

164 → 5

Compiler

Compiled 6595 to 1296 computations (80.3% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 a b) (*.f64 a b))
0.3b	(.f64 (+.f64 (.f64 t z) (.f64 x y)) (+.f64 (.f64 t z) (*.f64 x y)))
2.8b	(-.f64 (.f64 (+.f64 (.f64 t z) (.f64 x y)) (+.f64 (.f64 t z) (.f64 x y))) (.f64 (.f64 a b) (.f64 a b)))
27.1b	(/.f64 (-.f64 (.f64 (+.f64 (.f64 t z) (.f64 x y)) (+.f64 (.f64 t z) (.f64 x y))) (.f64 (.f64 a b) (.f64 a b))) (-.f64 (+.f64 (.f64 t z) (.f64 x y)) (*.f64 a b)))

rewrite254.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

50×	`pow1_binary64_2867`
20×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
19×	`add-sqr-sqrt_binary64_2828`
18×	`pow-prod-down_binary64_2877`
17×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
12×	`times-frac_binary64_2812`
9×	`prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
6×	`add-log-exp_binary64_2845` `flip3-+_binary64_2809` `flip-+_binary64_2780`
5×	`difference-of-squares_binary64_2775` `pow-prod-up_binary64_2876` `pow-sqr_binary64_2779`
4×	`associate-/l_binary64_2751` `frac-times_binary64_2816` `swap-sqr_binary64_2773` `associate-l_binary64_2747` `associate-r*_binary64_2746`
3×	`flip3--_binary64_2810` `flip--_binary64_2781` `associate-/r*_binary64_2750` `pow-plus_binary64_2869`
2×	`associate-/l/_binary64_2753` `associate-/r/_binary64_2752` `distribute-rgt-in_binary64_2756` `associate--l+_binary64_2743` `distribute-lft-in_binary64_2755` `pow2_binary64_2887` `associate-l/_binary64_2749` `associate-r/_binary64_2748` `*-commutative_binary64_2737`
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` `cancel-sign-sub-inv_binary64_2772` `unswap-sqr_binary64_2774`

Counts

4 → 120

Calls

4 calls:

22.0ms	(/.f64 (-.f64 (.f64 (+.f64 (.f64 t z) (.f64 x y)) (+.f64 (.f64 t z) (.f64 x y))) (.f64 (.f64 a b) (.f64 a b))) (-.f64 (+.f64 (.f64 t z) (.f64 x y)) (*.f64 a b)))
13.0ms	(-.f64 (.f64 (+.f64 (.f64 t z) (.f64 x y)) (+.f64 (.f64 t z) (.f64 x y))) (.f64 (.f64 a b) (.f64 a b)))
11.0ms	(.f64 (+.f64 (.f64 t z) (.f64 x y)) (+.f64 (.f64 t z) (*.f64 x y)))
7.0ms	(.f64 (.f64 a b) (*.f64 a b))

Compiler

Compiled 6648 to 659 computations (90.1% saved)

series4.1s (20.7%)

Error

0.0b

Counts

4 → 126

Calls

4 calls:

1.7s	(-.f64 (.f64 (+.f64 (.f64 t z) (.f64 x y)) (+.f64 (.f64 t z) (.f64 x y))) (.f64 (.f64 a b) (.f64 a b)))
1.6s	(/.f64 (-.f64 (.f64 (+.f64 (.f64 t z) (.f64 x y)) (+.f64 (.f64 t z) (.f64 x y))) (.f64 (.f64 a b) (.f64 a b))) (-.f64 (+.f64 (.f64 t z) (.f64 x y)) (*.f64 a b)))
490.0ms	(.f64 (+.f64 (.f64 t z) (.f64 x y)) (+.f64 (.f64 t z) (*.f64 x y)))
113.0ms	(.f64 (.f64 a b) (*.f64 a b))

Compiler

Compiled 12294 to 7186 computations (41.5% saved)

simplify225.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

393×	`associate-l_binary64_2747`
380×	`associate-r_binary64_2746`
278×	`unswap-sqr_binary64_2774`
230×	`exp-prod_binary64_2858`
224×	`div-sub_binary64_2811`
201×	`associate-/l*_binary64_2751`
163×	`*-commutative_binary64_2737`
144×	`times-frac_binary64_2812`
121×	`distribute-rgt-in_binary64_2756`
118×	`distribute-lft-in_binary64_2755`
110×	`sub-neg_binary64_2799`
89×	`associate-/r*_binary64_2750`
87×	`+-commutative_binary64_2736`
81×	`sqr-pow_binary64_2778`
78×	`cancel-sign-sub-inv_binary64_2772`
61×	`log-prod_binary64_2892`
58×	`associate-+r+_binary64_2738`
56×	`neg-sub0_binary64_2801`
55×	`neg-mul-1_binary64_2802`
53×	`associate-+l+_binary64_2739`
41×	`associate--l+_binary64_2743`
36×	`cube-prod_binary64_2834` `distribute-rgt-neg-in_binary64_2764`
33×	`unpow3_binary64_2872` `/-rgt-identity_binary64_2797` `associate-/r/_binary64_2752`
30×	`distribute-lft-neg-in_binary64_2763`
29×	`exp-sum_binary64_2852`
28×	`pow-plus_binary64_2869`
23×	`swap-sqr_binary64_2773`
22×	`log-div_binary64_2893`
19×	`difference-of-squares_binary64_2775` `associate-/l/_binary64_2753`
18×	`associate-*l/_binary64_2749`
17×	`*-rgt-identity_binary64_2796`
16×	`associate-*r/_binary64_2748`
15×	`associate--r+_binary64_2742`
14×	`*-lft-identity_binary64_2795`
13×	`unsub-neg_binary64_2800`
12×	`log-pow_binary64_2895` `cube-mult_binary64_2836` `pow-sqr_binary64_2779` `associate-+r-_binary64_2740`
11×	`cube-div_binary64_2835`
10×	`unpow2_binary64_2871` `unpow1/2_binary64_2870` `+-rgt-identity_binary64_2791`
9×	`unpow1_binary64_2864`
7×	`log-rec_binary64_2894` `cube-unmult_binary64_2843` `distribute-neg-in_binary64_2767` `distribute-lft-neg-out_binary64_2765`
4×	`exp-diff_binary64_2854` `*-inverses_binary64_2786` `distribute-rgt-out_binary64_2759`
3×	`rem-sqrt-square_binary64_2819` `count-2_binary64_2754`
2×	`remove-double-neg_binary64_2794` `distribute-rgt-out--_binary64_2760` `associate--r-_binary64_2745`
1×	`div-exp_binary64_2857` `1-exp_binary64_2850` `exp-1-e_binary64_2849` `rem-3cbrt-rft_binary64_2832` `rem-3cbrt-lft_binary64_2831` `rem-square-sqrt_binary64_2818` `mul-1-neg_binary64_2798` `distribute-neg-frac_binary64_2770` `distribute-lft-out_binary64_2757` `associate-+l-_binary64_2741`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3069` `erf-erfc_binary64_3068` `erf-odd_binary64_3067` `if-if-and-not_binary64_3066` `if-if-and_binary64_3065` `if-if-or-not_binary64_3064` `if-if-or_binary64_3063` `if-not_binary64_3062` `if-same_binary64_3061` `if-false_binary64_3060` `if-true_binary64_3059` `not-gte_binary64_3058` `not-lte_binary64_3057` `not-gt_binary64_3056` `not-lt_binary64_3055` `gte-same_binary64_3054` `lte-same_binary64_3053` `gt-same_binary64_3052` `lt-same_binary64_3051` `sinh---cosh_binary64_2998` `sinh-+-cosh_binary64_2997` `sinh-cosh_binary64_2996` `tanh-def-c_binary64_2995` `tanh-def-b_binary64_2994` `tanh-def-a_binary64_2993` `cosh-def_binary64_2992` `sinh-def_binary64_2991` `tan-neg_binary64_2938` `cos-neg_binary64_2937` `sin-neg_binary64_2936` `tan-0_binary64_2935` `cos-0_binary64_2934` `sin-0_binary64_2933` `hang-m-tan_binary64_2932` `hang-p-tan_binary64_2931` `hang-m0-tan_binary64_2930` `hang-p0-tan_binary64_2929` `hang-0m-tan_binary64_2928` `hang-0p-tan_binary64_2927` `tan-+PI/2_binary64_2926` `tan-+PI_binary64_2925` `tan-PI_binary64_2924` `tan-PI/3_binary64_2923` `tan-PI/4_binary64_2922` `tan-PI/6_binary64_2921` `cos-+PI/2_binary64_2920` `cos-+PI_binary64_2919` `cos-PI_binary64_2918` `cos-PI/2_binary64_2917` `cos-PI/3_binary64_2916` `cos-PI/4_binary64_2915` `cos-PI/6_binary64_2914` `sin-+PI/2_binary64_2913` `sin-+PI_binary64_2912` `sin-PI_binary64_2911` `sin-PI/2_binary64_2910` `sin-PI/3_binary64_2909` `sin-PI/4_binary64_2908` `sin-PI/6_binary64_2907` `sub-1-sin_binary64_2906` `sub-1-cos_binary64_2905` `-1-add-sin_binary64_2904` `-1-add-cos_binary64_2903` `1-sub-sin_binary64_2902` `1-sub-cos_binary64_2901` `cos-sin-sum_binary64_2900` `log-E_binary64_2896` `pow-base-0_binary64_2890` `unpow1/3_binary64_2873` `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-0_binary64_2848` `rem-log-exp_binary64_2847` `rem-exp-log_binary64_2846` `cube-neg_binary64_2833` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `sqr-abs_binary64_2821` `sqr-neg_binary64_2820` `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_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-frac-neg_binary64_2769` `distribute-neg-out_binary64_2768` `distribute-rgt-neg-out_binary64_2766` `distribute-rgt1-in_binary64_2762` `distribute-lft1-in_binary64_2761` `distribute-lft-out--_binary64_2758` `associate--l-_binary64_2744`

Counts

246 → 221

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	279	7841
1	832	7124
2	3692	7088
3	4846	6779
4	5032	6779

prune298.0ms (1.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	221	0	221
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	221	5	226

Error

0.0b

Counts

226 → 5

Compiler

Compiled 9121 to 1556 computations (82.9% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.8b	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 t (.f64 z (-.f64 (.f64 t z) (*.f64 x y)))))
2.7b	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 t z) 3))
4.8b	(.f64 t (.f64 z (-.f64 (.f64 t z) (.f64 x y))))
33.9b	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 t z) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 t (.f64 z (-.f64 (.f64 t z) (*.f64 x y))))))

rewrite242.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`*-un-lft-identity_binary64_2806`
16×	`distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755`
15×	`add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828` `times-frac_binary64_2812`
11×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
9×	`pow1_binary64_2867`
8×	`add-log-exp_binary64_2845` `sub-neg_binary64_2799` `cancel-sign-sub-inv_binary64_2772` `associate-+r+_binary64_2738`
5×	`sum-cubes_binary64_2807` `distribute-lft-out_binary64_2757` `associate-/l*_binary64_2751`
4×	`flip3-+_binary64_2809` `flip-+_binary64_2780` `associate-*r/_binary64_2748`
3×	`associate-/r_binary64_2750` `pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `associate-l*_binary64_2747`
2×	`associate-/l/_binary64_2753` `associate-/r/_binary64_2752` `sum-log_binary64_2897` `+-commutative_binary64_2736`
1×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `div-inv_binary64_2803` `flip3--_binary64_2810` `flip--_binary64_2781` `associate-r_binary64_2746` `*-commutative_binary64_2737`

Counts

4 → 99

Calls

4 calls:

19.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 t z) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 t (.f64 z (-.f64 (.f64 t z) (*.f64 x y))))))
11.0ms	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 t (.f64 z (-.f64 (.f64 t z) (*.f64 x y)))))
10.0ms	(.f64 t (.f64 z (-.f64 (.f64 t z) (.f64 x y))))
9.0ms	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 t z) 3))

Compiler

Compiled 5595 to 1291 computations (76.9% saved)

series3.3s (16.6%)

Error

0.0b

Counts

4 → 102

Calls

4 calls:

1.2s	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 t z) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 t (.f64 z (-.f64 (.f64 t z) (*.f64 x y))))))
824.0ms	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 t z) 3))
815.0ms	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 t (.f64 z (-.f64 (.f64 t z) (*.f64 x y)))))
283.0ms	(.f64 t (.f64 z (-.f64 (.f64 t z) (.f64 x y))))

Compiler

Compiled 8124 to 5025 computations (38.1% saved)

simplify183.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

596×	`cancel-sign-sub-inv_binary64_2772`
374×	`exp-prod_binary64_2858`
369×	`unswap-sqr_binary64_2774`
283×	`associate-l_binary64_2747`
278×	`distribute-rgt-neg-in_binary64_2764`
274×	`associate-r_binary64_2746`
116×	`*-commutative_binary64_2737`
114×	`cube-prod_binary64_2834`
91×	`unpow3_binary64_2872`
84×	`swap-sqr_binary64_2773`
83×	`sqr-pow_binary64_2778`
75×	`distribute-rgt-in_binary64_2756`
69×	`distribute-lft-neg-out_binary64_2765`
67×	`distribute-lft-in_binary64_2755`
61×	`sub-neg_binary64_2799`
58×	`div-sub_binary64_2811`
46×	`neg-sub0_binary64_2801`
44×	`neg-mul-1_binary64_2802`
41×	`times-frac_binary64_2812`
40×	`+-commutative_binary64_2736`
39×	`distribute-rgt-neg-out_binary64_2766`
34×	`difference-of-squares_binary64_2775`
29×	`distribute-lft-neg-in_binary64_2763`
24×	`distribute-neg-in_binary64_2767` `associate-/l/_binary64_2753` `associate-*l/_binary64_2749`
22×	`log-prod_binary64_2892`
18×	`cube-mult_binary64_2836`
16×	`associate-/l*_binary64_2751`
15×	`pow-plus_binary64_2869` `associate-/r/_binary64_2752`
14×	`associate-*r/_binary64_2748`
12×	`pow-sqr_binary64_2779`
10×	`exp-sum_binary64_2852` `-rgt-identity_binary64_2796` `associate-/r_binary64_2750`
7×	`/-rgt-identity_binary64_2797` `distribute-rgt-out--_binary64_2760`
6×	`cube-unmult_binary64_2843`
5×	`unpow2_binary64_2871` `exp-diff_binary64_2854` `unsub-neg_binary64_2800` `associate-+l+_binary64_2739`
4×	`log-pow_binary64_2895` `log-div_binary64_2893` `unpow1/2_binary64_2870` `unpow1_binary64_2864` `associate--l+_binary64_2743` `associate--r+_binary64_2742` `associate-+r-_binary64_2740`
3×	`distribute-rgt-out_binary64_2759` `associate-+l-_binary64_2741`
2×	`prod-exp_binary64_2855` `distribute-neg-frac_binary64_2770` `associate--r-_binary64_2745` `associate-+r+_binary64_2738`
1×	`1-exp_binary64_2850` `cube-div_binary64_2835` `rem-sqrt-square_binary64_2819` `mul-1-neg_binary64_2798` `*-lft-identity_binary64_2795` `remove-double-neg_binary64_2794` `sub0-neg_binary64_2793` `+-rgt-identity_binary64_2791` `distribute-lft-out_binary64_2757` `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` `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-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` `--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-frac-neg_binary64_2769` `distribute-neg-out_binary64_2768` `distribute-rgt1-in_binary64_2762` `distribute-lft1-in_binary64_2761` `distribute-lft-out--_binary64_2758` `count-2_binary64_2754`

Counts

201 → 173

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	188	5909
1	475	5440
2	2002	5440
3	4784	5137
4	5066	5137

prune275.0ms (1.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	173	5	178

Error

0.0b

Counts

178 → 5

Compiler

Compiled 7215 to 1965 computations (72.8% saved)

regimes1.5s (7.9%)

Accuracy

Total 0.0b remaining (44.5%)

Threshold costs 0.0b (44.5%)

Compiler

Compiled 20056 to 13868 computations (30.9% saved)

bsearch0.0ms (0%)

simplify78.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64_2737`
3×	`+-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	16	22
1	23	22
2	23	22

Remove

(sort c i)

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 120 to 120 computations (0% saved)

end0.0ms (0%)

sample2.2s (11.4%)

Algorithm

1×

intervals

Results

385.0ms	8000×	body	128	valid
265.0ms	5529×	body	128	invalid

Compiler

Compiled 1361 to 945 computations (30.6% saved)

Details

analyze2.4s (12.2%)

sample92.0ms (0.5%)

simplify9.0ms (0%)

prune2.0ms (0%)

localize12.0ms (0.1%)

rewrite290.0ms (1.5%)

series1.4s (7.2%)

simplify120.0ms (0.6%)

prune80.0ms (0.4%)

localize15.0ms (0.1%)

rewrite162.0ms (0.8%)

series1.9s (9.7%)

simplify196.0ms (1%)

prune231.0ms (1.2%)

localize20.0ms (0.1%)

rewrite254.0ms (1.3%)

series4.1s (20.7%)

simplify225.0ms (1.1%)

prune298.0ms (1.5%)

localize25.0ms (0.1%)

rewrite242.0ms (1.2%)

series3.3s (16.6%)

simplify183.0ms (0.9%)

prune275.0ms (1.4%)

regimes1.5s (7.9%)

bsearch0.0ms (0%)

simplify78.0ms (0.4%)

end0.0ms (0%)

sample2.2s (11.4%)

Profiling