Details

analyze219.0ms (2.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

755×	`unswap-sqr_binary64_2774`
691×	`distribute-rgt-out_binary64_2759`
576×	`+-commutative_binary64_2736`
488×	`*-commutative_binary64_2737`
435×	`distribute-rgt-in_binary64_2756`
404×	`distribute-lft-in_binary64_2755`
375×	`associate-l_binary64_2747`
295×	`associate-r_binary64_2746`
280×	`associate-+l+_binary64_2739`
231×	`associate-+r+_binary64_2738`
53×	`associate-l/_binary64_2749` `associate-r/_binary64_2748`
51×	`distribute-lft-out_binary64_2757`
41×	`sqr-pow_binary64_2778`
17×	`pow-plus_binary64_2869`
14×	`distribute-rgt1-in_binary64_2762`
8×	`cube-prod_binary64_2834` `pow-sqr_binary64_2779`
7×	`cube-unmult_binary64_2843`
6×	`associate-/l*_binary64_2751`
3×	`unpow2_binary64_2871`
2×	`unpow3_binary64_2872` `unpow1/2_binary64_2870` `unpow1_binary64_2864` `/-rgt-identity_binary64_2797` `-rgt-identity_binary64_2796` `-lft-identity_binary64_2795` `swap-sqr_binary64_2773` `associate-/r*_binary64_2750`
1×	`1-exp_binary64_2850` `associate-/r/_binary64_2752`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3069` `erf-erfc_binary64_3068` `erf-odd_binary64_3067` `if-if-and-not_binary64_3066` `if-if-and_binary64_3065` `if-if-or-not_binary64_3064` `if-if-or_binary64_3063` `if-not_binary64_3062` `if-same_binary64_3061` `if-false_binary64_3060` `if-true_binary64_3059` `not-gte_binary64_3058` `not-lte_binary64_3057` `not-gt_binary64_3056` `not-lt_binary64_3055` `gte-same_binary64_3054` `lte-same_binary64_3053` `gt-same_binary64_3052` `lt-same_binary64_3051` `sinh---cosh_binary64_2998` `sinh-+-cosh_binary64_2997` `sinh-cosh_binary64_2996` `tanh-def-c_binary64_2995` `tanh-def-b_binary64_2994` `tanh-def-a_binary64_2993` `cosh-def_binary64_2992` `sinh-def_binary64_2991` `tan-neg_binary64_2938` `cos-neg_binary64_2937` `sin-neg_binary64_2936` `tan-0_binary64_2935` `cos-0_binary64_2934` `sin-0_binary64_2933` `hang-m-tan_binary64_2932` `hang-p-tan_binary64_2931` `hang-m0-tan_binary64_2930` `hang-p0-tan_binary64_2929` `hang-0m-tan_binary64_2928` `hang-0p-tan_binary64_2927` `tan-+PI/2_binary64_2926` `tan-+PI_binary64_2925` `tan-PI_binary64_2924` `tan-PI/3_binary64_2923` `tan-PI/4_binary64_2922` `tan-PI/6_binary64_2921` `cos-+PI/2_binary64_2920` `cos-+PI_binary64_2919` `cos-PI_binary64_2918` `cos-PI/2_binary64_2917` `cos-PI/3_binary64_2916` `cos-PI/4_binary64_2915` `cos-PI/6_binary64_2914` `sin-+PI/2_binary64_2913` `sin-+PI_binary64_2912` `sin-PI_binary64_2911` `sin-PI/2_binary64_2910` `sin-PI/3_binary64_2909` `sin-PI/4_binary64_2908` `sin-PI/6_binary64_2907` `sub-1-sin_binary64_2906` `sub-1-cos_binary64_2905` `-1-add-sin_binary64_2904` `-1-add-cos_binary64_2903` `1-sub-sin_binary64_2902` `1-sub-cos_binary64_2901` `cos-sin-sum_binary64_2900` `log-E_binary64_2896` `log-pow_binary64_2895` `log-rec_binary64_2894` `log-div_binary64_2893` `log-prod_binary64_2892` `pow-base-0_binary64_2890` `unpow1/3_binary64_2873` `exp-to-pow_binary64_2868` `pow-base-1_binary64_2866` `unpow0_binary64_2865` `unpow-1_binary64_2863` `exp-lft-cube_binary64_2862` `exp-lft-sqr_binary64_2861` `exp-cbrt_binary64_2860` `exp-sqrt_binary64_2859` `exp-prod_binary64_2858` `div-exp_binary64_2857` `rec-exp_binary64_2856` `prod-exp_binary64_2855` `exp-diff_binary64_2854` `exp-neg_binary64_2853` `exp-sum_binary64_2852` `e-exp-1_binary64_2851` `exp-1-e_binary64_2849` `exp-0_binary64_2848` `rem-log-exp_binary64_2847` `rem-exp-log_binary64_2846` `cube-mult_binary64_2836` `cube-div_binary64_2835` `cube-neg_binary64_2833` `rem-3cbrt-rft_binary64_2832` `rem-3cbrt-lft_binary64_2831` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `sqr-abs_binary64_2821` `sqr-neg_binary64_2820` `rem-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` `remove-double-neg_binary64_2794` `sub0-neg_binary64_2793` `--rgt-identity_binary64_2792` `+-rgt-identity_binary64_2791` `+-lft-identity_binary64_2790` `mul0-rgt_binary64_2789` `mul0-lft_binary64_2788` `div0_binary64_2787` `*-inverses_binary64_2786` `+-inverses_binary64_2785` `lft-mult-inverse_binary64_2784` `rgt-mult-inverse_binary64_2783` `remove-double-div_binary64_2782` `difference-of-sqr--1_binary64_2777` `difference-of-sqr-1_binary64_2776` `difference-of-squares_binary64_2775` `cancel-sign-sub-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-lft1-in_binary64_2761` `distribute-rgt-out--_binary64_2760` `distribute-lft-out--_binary64_2758` `count-2_binary64_2754` `associate-/l/_binary64_2753` `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	46	256
1	133	160
2	489	115
3	1780	106
4	3058	106
5	3882	106
6	4227	106
7	5240	106
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
50%	50%	0%	4
50%	50%	0%	5
81.2%	18.7%	0%	6
100%	0%	0%	7

Compiler

Compiled 174 to 47 computations (73% saved)

sample47.0ms (0.5%)

Algorithm

1×

intervals

Results

30.0ms

256×

body

128

valid

Compiler

Compiled 347 to 94 computations (72.9% saved)

simplify68.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

755×	`unswap-sqr_binary64_2774`
691×	`distribute-rgt-out_binary64_2759`
576×	`+-commutative_binary64_2736`
488×	`*-commutative_binary64_2737`
435×	`distribute-rgt-in_binary64_2756`
404×	`distribute-lft-in_binary64_2755`
375×	`associate-l_binary64_2747`
295×	`associate-r_binary64_2746`
280×	`associate-+l+_binary64_2739`
231×	`associate-+r+_binary64_2738`
53×	`associate-l/_binary64_2749` `associate-r/_binary64_2748`
51×	`distribute-lft-out_binary64_2757`
41×	`sqr-pow_binary64_2778`
17×	`pow-plus_binary64_2869`
14×	`distribute-rgt1-in_binary64_2762`
8×	`cube-prod_binary64_2834` `pow-sqr_binary64_2779`
7×	`cube-unmult_binary64_2843`
6×	`associate-/l*_binary64_2751`
3×	`unpow2_binary64_2871`
2×	`unpow3_binary64_2872` `unpow1/2_binary64_2870` `unpow1_binary64_2864` `/-rgt-identity_binary64_2797` `-rgt-identity_binary64_2796` `-lft-identity_binary64_2795` `swap-sqr_binary64_2773` `associate-/r*_binary64_2750`
1×	`1-exp_binary64_2850` `associate-/r/_binary64_2752`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3069` `erf-erfc_binary64_3068` `erf-odd_binary64_3067` `if-if-and-not_binary64_3066` `if-if-and_binary64_3065` `if-if-or-not_binary64_3064` `if-if-or_binary64_3063` `if-not_binary64_3062` `if-same_binary64_3061` `if-false_binary64_3060` `if-true_binary64_3059` `not-gte_binary64_3058` `not-lte_binary64_3057` `not-gt_binary64_3056` `not-lt_binary64_3055` `gte-same_binary64_3054` `lte-same_binary64_3053` `gt-same_binary64_3052` `lt-same_binary64_3051` `sinh---cosh_binary64_2998` `sinh-+-cosh_binary64_2997` `sinh-cosh_binary64_2996` `tanh-def-c_binary64_2995` `tanh-def-b_binary64_2994` `tanh-def-a_binary64_2993` `cosh-def_binary64_2992` `sinh-def_binary64_2991` `tan-neg_binary64_2938` `cos-neg_binary64_2937` `sin-neg_binary64_2936` `tan-0_binary64_2935` `cos-0_binary64_2934` `sin-0_binary64_2933` `hang-m-tan_binary64_2932` `hang-p-tan_binary64_2931` `hang-m0-tan_binary64_2930` `hang-p0-tan_binary64_2929` `hang-0m-tan_binary64_2928` `hang-0p-tan_binary64_2927` `tan-+PI/2_binary64_2926` `tan-+PI_binary64_2925` `tan-PI_binary64_2924` `tan-PI/3_binary64_2923` `tan-PI/4_binary64_2922` `tan-PI/6_binary64_2921` `cos-+PI/2_binary64_2920` `cos-+PI_binary64_2919` `cos-PI_binary64_2918` `cos-PI/2_binary64_2917` `cos-PI/3_binary64_2916` `cos-PI/4_binary64_2915` `cos-PI/6_binary64_2914` `sin-+PI/2_binary64_2913` `sin-+PI_binary64_2912` `sin-PI_binary64_2911` `sin-PI/2_binary64_2910` `sin-PI/3_binary64_2909` `sin-PI/4_binary64_2908` `sin-PI/6_binary64_2907` `sub-1-sin_binary64_2906` `sub-1-cos_binary64_2905` `-1-add-sin_binary64_2904` `-1-add-cos_binary64_2903` `1-sub-sin_binary64_2902` `1-sub-cos_binary64_2901` `cos-sin-sum_binary64_2900` `log-E_binary64_2896` `log-pow_binary64_2895` `log-rec_binary64_2894` `log-div_binary64_2893` `log-prod_binary64_2892` `pow-base-0_binary64_2890` `unpow1/3_binary64_2873` `exp-to-pow_binary64_2868` `pow-base-1_binary64_2866` `unpow0_binary64_2865` `unpow-1_binary64_2863` `exp-lft-cube_binary64_2862` `exp-lft-sqr_binary64_2861` `exp-cbrt_binary64_2860` `exp-sqrt_binary64_2859` `exp-prod_binary64_2858` `div-exp_binary64_2857` `rec-exp_binary64_2856` `prod-exp_binary64_2855` `exp-diff_binary64_2854` `exp-neg_binary64_2853` `exp-sum_binary64_2852` `e-exp-1_binary64_2851` `exp-1-e_binary64_2849` `exp-0_binary64_2848` `rem-log-exp_binary64_2847` `rem-exp-log_binary64_2846` `cube-mult_binary64_2836` `cube-div_binary64_2835` `cube-neg_binary64_2833` `rem-3cbrt-rft_binary64_2832` `rem-3cbrt-lft_binary64_2831` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `sqr-abs_binary64_2821` `sqr-neg_binary64_2820` `rem-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` `remove-double-neg_binary64_2794` `sub0-neg_binary64_2793` `--rgt-identity_binary64_2792` `+-rgt-identity_binary64_2791` `+-lft-identity_binary64_2790` `mul0-rgt_binary64_2789` `mul0-lft_binary64_2788` `div0_binary64_2787` `*-inverses_binary64_2786` `+-inverses_binary64_2785` `lft-mult-inverse_binary64_2784` `rgt-mult-inverse_binary64_2783` `remove-double-div_binary64_2782` `difference-of-sqr--1_binary64_2777` `difference-of-sqr-1_binary64_2776` `difference-of-squares_binary64_2775` `cancel-sign-sub-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-lft1-in_binary64_2761` `distribute-rgt-out--_binary64_2760` `distribute-lft-out--_binary64_2758` `count-2_binary64_2754` `associate-/l/_binary64_2753` `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 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	256
1	133	160
2	489	115
3	1780	106
4	3058	106
5	3882	106
6	4227	106
7	5240	106

prune13.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

29.9b

Counts

2 → 1

Compiler

Compiled 244 to 103 computations (57.8% saved)

localize44.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 1737369620307813/2251799813685248 (.f64 x x))
0.1b	(.f64 3782789308857969/36028797018963968 (.f64 x x))
14.9b	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 3782789308857969/36028797018963968 (.f64 x x))) (.f64 763919671262763/18014398509481984 (.f64 (.f64 x x) (.f64 x x)))) (.f64 8375303961237363/1152921504606846976 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 583843369866023/1152921504606846976 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 825478423409049/4611686018427387904 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1737369620307813/2251799813685248 (.f64 x x))) (.f64 2620859570069187/9007199254740992 (.f64 (.f64 x x) (.f64 x x)))) (.f64 2502400853142105/36028797018963968 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 2017691060547333/144115188075855872 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 7681173503746455/9223372036854775808 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 2 825478423409049/4611686018427387904) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)
29.3b	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 3782789308857969/36028797018963968 (.f64 x x))) (.f64 763919671262763/18014398509481984 (.f64 (.f64 x x) (.f64 x x)))) (.f64 8375303961237363/1152921504606846976 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 583843369866023/1152921504606846976 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 825478423409049/4611686018427387904 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1737369620307813/2251799813685248 (.f64 x x))) (.f64 2620859570069187/9007199254740992 (.f64 (.f64 x x) (.f64 x x)))) (.f64 2502400853142105/36028797018963968 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 2017691060547333/144115188075855872 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 7681173503746455/9223372036854775808 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 2 825478423409049/4611686018427387904) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x)))))

rewrite1.2s (11.6%)

Algorithm

1×	rewrite-expression-head

Error

29.8b

Rules

29×	`add-sqr-sqrt_binary64_2828`
22×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
21×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `associate-l_binary64_2747`
19×	`times-frac_binary64_2812`
16×	`pow1_binary64_2867`
8×	`prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
7×	`pow-prod-down_binary64_2877`
5×	`associate-r_binary64_2746`
4×	`add-log-exp_binary64_2845` `associate-/r/_binary64_2752` `unswap-sqr_binary64_2774`
3×	`flip3-+_binary64_2809` `flip-+_binary64_2780` `associate-/l_binary64_2751` `associate-/r_binary64_2750` `*-commutative_binary64_2737`
2×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `div-inv_binary64_2803` `associate-/l/_binary64_2753`
1×	`frac-2neg_binary64_2817` `clear-num_binary64_2805` `associate-*l/_binary64_2749`

Counts

4 → 103

Calls

4 calls:

100.0ms	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 3782789308857969/36028797018963968 (.f64 x x))) (.f64 763919671262763/18014398509481984 (.f64 (.f64 x x) (.f64 x x)))) (.f64 8375303961237363/1152921504606846976 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 583843369866023/1152921504606846976 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 825478423409049/4611686018427387904 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1737369620307813/2251799813685248 (.f64 x x))) (.f64 2620859570069187/9007199254740992 (.f64 (.f64 x x) (.f64 x x)))) (.f64 2502400853142105/36028797018963968 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 2017691060547333/144115188075855872 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 7681173503746455/9223372036854775808 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 2 825478423409049/4611686018427387904) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x)))))
88.0ms	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 3782789308857969/36028797018963968 (.f64 x x))) (.f64 763919671262763/18014398509481984 (.f64 (.f64 x x) (.f64 x x)))) (.f64 8375303961237363/1152921504606846976 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 583843369866023/1152921504606846976 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 825478423409049/4611686018427387904 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1737369620307813/2251799813685248 (.f64 x x))) (.f64 2620859570069187/9007199254740992 (.f64 (.f64 x x) (.f64 x x)))) (.f64 2502400853142105/36028797018963968 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 2017691060547333/144115188075855872 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 7681173503746455/9223372036854775808 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 2 825478423409049/4611686018427387904) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)
7.0ms	(.f64 1737369620307813/2251799813685248 (.f64 x x))
7.0ms	(.f64 3782789308857969/36028797018963968 (.f64 x x))

Compiler

Compiled 26812 to 6290 computations (76.5% saved)

series559.0ms (5.4%)

Error

0.0b

Counts

4 → 22

Calls

4 calls:

213.0ms	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 3782789308857969/36028797018963968 (.f64 x x))) (.f64 763919671262763/18014398509481984 (.f64 (.f64 x x) (.f64 x x)))) (.f64 8375303961237363/1152921504606846976 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 583843369866023/1152921504606846976 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 825478423409049/4611686018427387904 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1737369620307813/2251799813685248 (.f64 x x))) (.f64 2620859570069187/9007199254740992 (.f64 (.f64 x x) (.f64 x x)))) (.f64 2502400853142105/36028797018963968 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 2017691060547333/144115188075855872 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 7681173503746455/9223372036854775808 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 2 825478423409049/4611686018427387904) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)
175.0ms	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 3782789308857969/36028797018963968 (.f64 x x))) (.f64 763919671262763/18014398509481984 (.f64 (.f64 x x) (.f64 x x)))) (.f64 8375303961237363/1152921504606846976 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 583843369866023/1152921504606846976 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 825478423409049/4611686018427387904 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1737369620307813/2251799813685248 (.f64 x x))) (.f64 2620859570069187/9007199254740992 (.f64 (.f64 x x) (.f64 x x)))) (.f64 2502400853142105/36028797018963968 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 2017691060547333/144115188075855872 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 7681173503746455/9223372036854775808 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 2 825478423409049/4611686018427387904) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x)))))
63.0ms	(.f64 1737369620307813/2251799813685248 (.f64 x x))
61.0ms	(.f64 3782789308857969/36028797018963968 (.f64 x x))

Compiler

Compiled 3542 to 1191 computations (66.4% saved)

simplify318.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

504×	`times-frac_binary64_2812`
402×	`cancel-sign-sub-inv_binary64_2772`
284×	`associate-r_binary64_2746`
261×	`associate-l_binary64_2747`
221×	`distribute-rgt-out_binary64_2759`
189×	`distribute-rgt-neg-in_binary64_2764`
174×	`distribute-lft-neg-in_binary64_2763`
161×	`*-commutative_binary64_2737`
160×	`cube-prod_binary64_2834`
123×	`distribute-rgt-in_binary64_2756`
111×	`distribute-lft-in_binary64_2755`
106×	`distribute-neg-in_binary64_2767`
101×	`swap-sqr_binary64_2773`
84×	`unswap-sqr_binary64_2774`
74×	`sub-neg_binary64_2799`
72×	`distribute-rgt-out--_binary64_2760` `associate-+l+_binary64_2739`
68×	`+-commutative_binary64_2736`
66×	`distribute-lft-out_binary64_2757`
58×	`associate-/l/_binary64_2753`
52×	`associate-*l/_binary64_2749`
48×	`sqr-pow_binary64_2778`
41×	`neg-mul-1_binary64_2802` `neg-sub0_binary64_2801`
34×	`associate-/l_binary64_2751` `associate-r/_binary64_2748`
32×	`log-prod_binary64_2892` `unpow3_binary64_2872` `associate-+r+_binary64_2738`
30×	`exp-prod_binary64_2858`
28×	`cube-mult_binary64_2836`
25×	`associate-/r*_binary64_2750`
22×	`unsub-neg_binary64_2800`
20×	`associate--l+_binary64_2743`
18×	`distribute-lft-neg-out_binary64_2765` `associate--r+_binary64_2742`
17×	`distribute-lft-out--_binary64_2758`
15×	`pow-plus_binary64_2869`
13×	`log-div_binary64_2893`
11×	`cube-unmult_binary64_2843` `*-rgt-identity_binary64_2796`
10×	`cube-div_binary64_2835`
8×	`pow-sqr_binary64_2779`
7×	`associate-/r/_binary64_2752`
6×	`*-lft-identity_binary64_2795`
5×	`/-rgt-identity_binary64_2797`
4×	`distribute-rgt-neg-out_binary64_2766`
3×	`div-sub_binary64_2811` `associate-+l-_binary64_2741` `associate-+r-_binary64_2740`
2×	`log-pow_binary64_2895` `unpow1/2_binary64_2870`
1×	`unpow2_binary64_2871` `unpow1_binary64_2864` `1-exp_binary64_2850` `exp-1-e_binary64_2849` `rem-sqrt-square_binary64_2819` `difference-of-squares_binary64_2775` `distribute-neg-frac_binary64_2770` `distribute-rgt1-in_binary64_2762` `count-2_binary64_2754`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3069` `erf-erfc_binary64_3068` `erf-odd_binary64_3067` `if-if-and-not_binary64_3066` `if-if-and_binary64_3065` `if-if-or-not_binary64_3064` `if-if-or_binary64_3063` `if-not_binary64_3062` `if-same_binary64_3061` `if-false_binary64_3060` `if-true_binary64_3059` `not-gte_binary64_3058` `not-lte_binary64_3057` `not-gt_binary64_3056` `not-lt_binary64_3055` `gte-same_binary64_3054` `lte-same_binary64_3053` `gt-same_binary64_3052` `lt-same_binary64_3051` `sinh---cosh_binary64_2998` `sinh-+-cosh_binary64_2997` `sinh-cosh_binary64_2996` `tanh-def-c_binary64_2995` `tanh-def-b_binary64_2994` `tanh-def-a_binary64_2993` `cosh-def_binary64_2992` `sinh-def_binary64_2991` `tan-neg_binary64_2938` `cos-neg_binary64_2937` `sin-neg_binary64_2936` `tan-0_binary64_2935` `cos-0_binary64_2934` `sin-0_binary64_2933` `hang-m-tan_binary64_2932` `hang-p-tan_binary64_2931` `hang-m0-tan_binary64_2930` `hang-p0-tan_binary64_2929` `hang-0m-tan_binary64_2928` `hang-0p-tan_binary64_2927` `tan-+PI/2_binary64_2926` `tan-+PI_binary64_2925` `tan-PI_binary64_2924` `tan-PI/3_binary64_2923` `tan-PI/4_binary64_2922` `tan-PI/6_binary64_2921` `cos-+PI/2_binary64_2920` `cos-+PI_binary64_2919` `cos-PI_binary64_2918` `cos-PI/2_binary64_2917` `cos-PI/3_binary64_2916` `cos-PI/4_binary64_2915` `cos-PI/6_binary64_2914` `sin-+PI/2_binary64_2913` `sin-+PI_binary64_2912` `sin-PI_binary64_2911` `sin-PI/2_binary64_2910` `sin-PI/3_binary64_2909` `sin-PI/4_binary64_2908` `sin-PI/6_binary64_2907` `sub-1-sin_binary64_2906` `sub-1-cos_binary64_2905` `-1-add-sin_binary64_2904` `-1-add-cos_binary64_2903` `1-sub-sin_binary64_2902` `1-sub-cos_binary64_2901` `cos-sin-sum_binary64_2900` `log-E_binary64_2896` `log-rec_binary64_2894` `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` `exp-sum_binary64_2852` `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` `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-frac-neg_binary64_2769` `distribute-neg-out_binary64_2768` `distribute-lft1-in_binary64_2761` `associate--r-_binary64_2745` `associate--l-_binary64_2744`

Counts

125 → 109

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	239	13037
1	652	10183
2	2547	8704
3	4551	8704
4	5204	8704

prune743.0ms (7.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	106	3	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	3	110

Error

Counts

110 → 3

Compiler

Compiled 16377 to 7009 computations (57.2% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (/.f64 1/2 x) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)))
0.3b	(/.f64 1660320414109913/6603827387272392 (pow.f64 x 3))

rewrite138.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

38×	`times-frac_binary64_2812`
33×	`*-un-lft-identity_binary64_2806`
27×	`add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828`
12×	`unpow-prod-down_binary64_2885` `cube-prod_binary64_2834` `associate-/r*_binary64_2750`
7×	`add-exp-log_binary64_2844`
4×	`add-log-exp_binary64_2845` `add-cbrt-cube_binary64_2842` `unpow3_binary64_2872` `cube-mult_binary64_2836` `sqr-pow_binary64_2778`
3×	`div-exp_binary64_2857` `associate-/l*_binary64_2751`
2×	`pow1_binary64_2867` `distribute-lft-out_binary64_2757`
1×	`pow-to-exp_binary64_2875` `pow-exp_binary64_2874` `cbrt-undiv_binary64_2840` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `div-inv_binary64_2803` `sum-log_binary64_2897` `frac-add_binary64_2814` `flip3-+_binary64_2809` `flip-+_binary64_2780` `+-commutative_binary64_2736`

Counts

2 → 79

Calls

2 calls:

30.0ms	(+.f64 (/.f64 1/2 x) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)))
6.0ms	(/.f64 1660320414109913/6603827387272392 (pow.f64 x 3))

Compiler

Compiled 1361 to 1066 computations (21.7% saved)

series147.0ms (1.4%)

Error

Counts

2 → 9

Calls

2 calls:

96.0ms	(+.f64 (/.f64 1/2 x) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)))
45.0ms	(/.f64 1660320414109913/6603827387272392 (pow.f64 x 3))

Compiler

Compiled 220 to 194 computations (11.8% saved)

simplify86.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

697×	`associate-l_binary64_2747`
363×	`associate-/l*_binary64_2751`
342×	`associate-l/_binary64_2749` `associate-r/_binary64_2748`
285×	`associate-/l/_binary64_2753`
184×	`log-prod_binary64_2892`
139×	`unswap-sqr_binary64_2774`
118×	`associate-/r*_binary64_2750`
111×	`cancel-sign-sub-inv_binary64_2772`
83×	`distribute-rgt-neg-in_binary64_2764`
81×	`cube-div_binary64_2835`
78×	`associate-/r/_binary64_2752`
76×	`distribute-lft-neg-in_binary64_2763`
68×	`distribute-rgt-in_binary64_2756`
66×	`log-div_binary64_2893`
62×	`associate-r_binary64_2746`
54×	`distribute-lft-in_binary64_2755`
40×	`cube-prod_binary64_2834`
36×	`unpow3_binary64_2872` `distribute-neg-frac_binary64_2770`
33×	`times-frac_binary64_2812`
32×	`sqr-pow_binary64_2778`
25×	`cube-mult_binary64_2836`
24×	`swap-sqr_binary64_2773`
22×	`distribute-rgt-out_binary64_2759`
21×	`pow-plus_binary64_2869`
20×	`*-commutative_binary64_2737`
16×	`log-pow_binary64_2895` `sub-neg_binary64_2799`
15×	`cube-unmult_binary64_2843` `neg-mul-1_binary64_2802` `neg-sub0_binary64_2801`
12×	`distribute-lft-out_binary64_2757`
10×	`+-commutative_binary64_2736`
9×	`distribute-rgt-out--_binary64_2760`
8×	`distribute-lft-neg-out_binary64_2765`
7×	`exp-prod_binary64_2858`
6×	`rem-sqrt-square_binary64_2819` `*-rgt-identity_binary64_2796` `pow-sqr_binary64_2779` `distribute-neg-in_binary64_2767`
5×	`distribute-lft-out--_binary64_2758`
4×	`log-rec_binary64_2894`
3×	`/-rgt-identity_binary64_2797`
2×	`count-2_binary64_2754`
1×	`unpow2_binary64_2871` `unpow1/2_binary64_2870` `prod-exp_binary64_2855` `1-exp_binary64_2850` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `rem-square-sqrt_binary64_2818` `*-lft-identity_binary64_2795` `difference-of-squares_binary64_2775` `distribute-rgt-neg-out_binary64_2766` `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` `unpow1/3_binary64_2873` `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` `exp-sum_binary64_2852` `e-exp-1_binary64_2851` `exp-1-e_binary64_2849` `exp-0_binary64_2848` `rem-log-exp_binary64_2847` `rem-exp-log_binary64_2846` `cube-neg_binary64_2833` `rem-3cbrt-rft_binary64_2832` `rem-3cbrt-lft_binary64_2831` `sqr-abs_binary64_2821` `sqr-neg_binary64_2820` `div-sub_binary64_2811` `unsub-neg_binary64_2800` `mul-1-neg_binary64_2798` `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-frac-neg_binary64_2769` `distribute-neg-out_binary64_2768` `distribute-rgt1-in_binary64_2762` `distribute-lft1-in_binary64_2761` `associate--r-_binary64_2745` `associate--l-_binary64_2744` `associate--l+_binary64_2743` `associate--r+_binary64_2742` `associate-+r+_binary64_2738`

Counts

88 → 57

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	1204
1	233	1165
2	934	1153
3	4604	1153
4	4977	1153

prune61.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	57	3	60

Error

Counts

60 → 3

Compiler

Compiled 925 to 686 computations (25.8% saved)

localize47.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 x x) 1737369620307813/2251799813685248)
0.1b	(.f64 (.f64 x x) 3782789308857969/36028797018963968)
1.8b	(log.f64 (exp.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 3782789308857969/36028797018963968)) (.f64 (pow.f64 x 4) 763919671262763/18014398509481984)) (.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976)) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 1737369620307813/2251799813685248)) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)) (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12))))))
29.3b	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 3782789308857969/36028797018963968)) (.f64 (pow.f64 x 4) 763919671262763/18014398509481984)) (.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976)) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 1737369620307813/2251799813685248)) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)) (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12))))

rewrite908.0ms (8.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`add-sqr-sqrt_binary64_2828`
22×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
18×	`times-frac_binary64_2812`
16×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `log-pow_binary64_2895`
15×	`pow1_binary64_2867` `exp-prod_binary64_2858`
6×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `associate-r_binary64_2746`
4×	`add-log-exp_binary64_2845` `associate-/r/_binary64_2752`
3×	`flip3-+_binary64_2809` `flip-+_binary64_2780` `associate-/l_binary64_2751` `associate-/r_binary64_2750` `log-prod_binary64_2892`
2×	`div-inv_binary64_2803` `associate-/l/_binary64_2753` `unswap-sqr_binary64_2774` `associate-l_binary64_2747` `*-commutative_binary64_2737`
1×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `rem-log-exp_binary64_2847`

Counts

4 → 96

Calls

4 calls:

40.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 3782789308857969/36028797018963968)) (.f64 (pow.f64 x 4) 763919671262763/18014398509481984)) (.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976)) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 1737369620307813/2251799813685248)) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)) (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12))))))
40.0ms	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 3782789308857969/36028797018963968)) (.f64 (pow.f64 x 4) 763919671262763/18014398509481984)) (.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976)) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 1737369620307813/2251799813685248)) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)) (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12))))
7.0ms	(.f64 (.f64 x x) 1737369620307813/2251799813685248)
7.0ms	(.f64 (.f64 x x) 3782789308857969/36028797018963968)

Compiler

Compiled 10654 to 8363 computations (21.5% saved)

series439.0ms (4.3%)

Error

Counts

4 → 20

Calls

4 calls:

200.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 3782789308857969/36028797018963968)) (.f64 (pow.f64 x 4) 763919671262763/18014398509481984)) (.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976)) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 1737369620307813/2251799813685248)) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)) (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12))))))
92.0ms	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 3782789308857969/36028797018963968)) (.f64 (pow.f64 x 4) 763919671262763/18014398509481984)) (.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976)) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 1737369620307813/2251799813685248)) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)) (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12))))
55.0ms	(.f64 (.f64 x x) 1737369620307813/2251799813685248)
54.0ms	(.f64 (.f64 x x) 3782789308857969/36028797018963968)

Compiler

Compiled 1742 to 1452 computations (16.6% saved)

simplify249.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

631×	`associate-+l+_binary64_2739`
447×	`associate-+r+_binary64_2738`
180×	`associate-l_binary64_2747`
148×	`associate--r+_binary64_2742`
138×	`associate-r_binary64_2746`
114×	`cancel-sign-sub-inv_binary64_2772`
111×	`distribute-rgt-in_binary64_2756`
103×	`exp-prod_binary64_2858` `distribute-lft-in_binary64_2755`
97×	`distribute-neg-in_binary64_2767`
95×	`*-commutative_binary64_2737`
84×	`associate--l+_binary64_2743`
80×	`associate-/r*_binary64_2750`
68×	`log-prod_binary64_2892` `distribute-rgt-neg-in_binary64_2764` `associate-*l/_binary64_2749`
59×	`associate-*r/_binary64_2748`
57×	`distribute-lft-neg-in_binary64_2763`
53×	`+-commutative_binary64_2736`
52×	`associate-/l*_binary64_2751`
47×	`associate-/l/_binary64_2753`
45×	`sqr-pow_binary64_2778` `unswap-sqr_binary64_2774`
44×	`sub-neg_binary64_2799` `swap-sqr_binary64_2773`
43×	`exp-sum_binary64_2852`
30×	`neg-mul-1_binary64_2802` `neg-sub0_binary64_2801`
29×	`distribute-rgt-out_binary64_2759`
25×	`cube-prod_binary64_2834` `associate-+r-_binary64_2740`
23×	`times-frac_binary64_2812`
22×	`associate-+l-_binary64_2741`
20×	`associate-/r/_binary64_2752`
18×	`log-pow_binary64_2895` `rem-log-exp_binary64_2847`
17×	`unsub-neg_binary64_2800`
15×	`unpow3_binary64_2872` `distribute-lft-out_binary64_2757`
14×	`*-rgt-identity_binary64_2796`
9×	`cube-unmult_binary64_2843` `*-lft-identity_binary64_2795` `distribute-lft-neg-out_binary64_2765` `distribute-rgt-out--_binary64_2760`
6×	`pow-plus_binary64_2869`
5×	`pow-sqr_binary64_2779`
4×	`/-rgt-identity_binary64_2797`
3×	`log-div_binary64_2893` `cube-mult_binary64_2836` `div-sub_binary64_2811` `distribute-rgt1-in_binary64_2762` `distribute-lft-out--_binary64_2758`
2×	`unpow1/2_binary64_2870` `distribute-rgt-neg-out_binary64_2766` `count-2_binary64_2754` `associate--l-_binary64_2744`
1×	`unpow2_binary64_2871` `unpow1_binary64_2864` `1-exp_binary64_2850` `exp-1-e_binary64_2849` `rem-exp-log_binary64_2846` `cube-div_binary64_2835` `difference-of-squares_binary64_2775` `distribute-neg-frac_binary64_2770`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `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` `prod-exp_binary64_2855` `exp-diff_binary64_2854` `exp-neg_binary64_2853` `e-exp-1_binary64_2851` `exp-0_binary64_2848` `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` `mul-1-neg_binary64_2798` `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-frac-neg_binary64_2769` `distribute-neg-out_binary64_2768` `distribute-lft1-in_binary64_2761` `associate--r-_binary64_2745`

Counts

116 → 65

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	230	8844
1	518	8065
2	1831	8008
3	4873	8008
4	4957	8008

prune325.0ms (3.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	65	3	68

Error

Counts

68 → 3

Compiler

Compiled 5639 to 4419 computations (21.6% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 4)))
0.1b	(/.f64 1660320414109913/6603827387272392 (pow.f64 x 4))
0.2b	(/.f64 1/2 (*.f64 x x))
17.6b	(.f64 (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 4))) x)

rewrite182.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`*-un-lft-identity_binary64_2806`
26×	`add-sqr-sqrt_binary64_2828`
24×	`add-cube-cbrt_binary64_2841` `times-frac_binary64_2812`
16×	`add-exp-log_binary64_2844`
13×	`add-cbrt-cube_binary64_2842`
12×	`unpow-prod-down_binary64_2885`
8×	`associate-/r*_binary64_2750`
6×	`pow1_binary64_2867` `add-log-exp_binary64_2845` `associate-/l*_binary64_2751`
5×	`div-exp_binary64_2857`
4×	`associate-l_binary64_2747` `sqr-pow_binary64_2778`
3×	`associate-l/_binary64_2749` `associate-r*_binary64_2746` `cbrt-undiv_binary64_2840`
2×	`prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `frac-add_binary64_2814` `flip3-+_binary64_2809` `flip-+_binary64_2780` `distribute-lft-out_binary64_2757` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `div-inv_binary64_2803`
1×	`pow-prod-down_binary64_2877` `unswap-sqr_binary64_2774` `*-commutative_binary64_2737` `pow-to-exp_binary64_2875` `pow-exp_binary64_2874` `sum-log_binary64_2897` `+-commutative_binary64_2736`

Counts

4 → 101

Calls

4 calls:

20.0ms	(.f64 (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 4))) x)
17.0ms	(+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 4)))
5.0ms	(/.f64 1660320414109913/6603827387272392 (pow.f64 x 4))
5.0ms	(/.f64 1/2 (*.f64 x x))

Compiler

Compiled 2199 to 1481 computations (32.7% saved)

series338.0ms (3.3%)

Error

Counts

4 → 18

Calls

4 calls:

145.0ms	(.f64 (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 4))) x)
105.0ms	(+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 4)))
43.0ms	(/.f64 1660320414109913/6603827387272392 (pow.f64 x 4))
32.0ms	(/.f64 1/2 (*.f64 x x))

Compiler

Compiled 568 to 471 computations (17.1% saved)

simplify154.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

396×	`associate-*l/_binary64_2749`
379×	`associate-/r*_binary64_2750`
365×	`associate-*r/_binary64_2748`
348×	`times-frac_binary64_2812`
244×	`associate-/l*_binary64_2751`
192×	`distribute-rgt-in_binary64_2756`
178×	`distribute-lft-in_binary64_2755`
150×	`associate-/l/_binary64_2753`
110×	`log-div_binary64_2893`
106×	`cube-div_binary64_2835`
101×	`log-prod_binary64_2892`
97×	`associate-l_binary64_2747`
89×	`cancel-sign-sub-inv_binary64_2772`
88×	`cube-prod_binary64_2834`
79×	`div-sub_binary64_2811` `associate-r_binary64_2746`
70×	`sub-neg_binary64_2799`
65×	`unpow3_binary64_2872`
60×	`associate-/r/_binary64_2752`
59×	`distribute-rgt-neg-in_binary64_2764`
58×	`*-rgt-identity_binary64_2796`
52×	`*-lft-identity_binary64_2795` `distribute-lft-neg-in_binary64_2763`
49×	`cube-mult_binary64_2836` `neg-mul-1_binary64_2802` `neg-sub0_binary64_2801`
48×	`*-commutative_binary64_2737`
45×	`exp-prod_binary64_2858`
43×	`sqr-pow_binary64_2778`
42×	`unswap-sqr_binary64_2774`
36×	`distribute-neg-frac_binary64_2770`
26×	`distribute-rgt-out_binary64_2759`
20×	`log-pow_binary64_2895`
18×	`exp-sum_binary64_2852`
15×	`pow-sqr_binary64_2779`
13×	`pow-plus_binary64_2869` `swap-sqr_binary64_2773` `+-commutative_binary64_2736`
11×	`rem-sqrt-square_binary64_2819` `distribute-lft-out_binary64_2757` `associate-+r-_binary64_2740`
10×	`unsub-neg_binary64_2800` `distribute-rgt-out--_binary64_2760`
9×	`log-rec_binary64_2894` `+-rgt-identity_binary64_2791` `distribute-lft-neg-out_binary64_2765` `associate-+l-_binary64_2741`
6×	`unpow1/2_binary64_2870` `sub0-neg_binary64_2793` `associate--r+_binary64_2742`
5×	`cube-unmult_binary64_2843` `/-rgt-identity_binary64_2797`
4×	`unpow2_binary64_2871` `unpow1_binary64_2864` `distribute-neg-in_binary64_2767` `distribute-lft-out--_binary64_2758`
2×	`distribute-rgt-neg-out_binary64_2766`
1×	`prod-exp_binary64_2855` `1-exp_binary64_2850` `exp-1-e_binary64_2849` `rem-square-sqrt_binary64_2818` `mul0-rgt_binary64_2789` `mul0-lft_binary64_2788` `lft-mult-inverse_binary64_2784` `rgt-mult-inverse_binary64_2783` `difference-of-squares_binary64_2775` `count-2_binary64_2754` `associate--l+_binary64_2743` `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` `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-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-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` `mul-1-neg_binary64_2798` `remove-double-neg_binary64_2794` `--rgt-identity_binary64_2792` `+-lft-identity_binary64_2790` `div0_binary64_2787` `*-inverses_binary64_2786` `+-inverses_binary64_2785` `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` `associate--r-_binary64_2745` `associate--l-_binary64_2744` `associate-+r+_binary64_2738`

Counts

119 → 69

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	176	1963
1	352	1806
2	1123	1719
3	4475	1719
4	4676	1719
5	4978	1719
6	4888	1719

prune75.0ms (0.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	69	3	72

Error

Counts

72 → 3

Compiler

Compiled 1236 to 817 computations (33.9% saved)

regimes840.0ms (8.2%)

Accuracy

Total 0.0b remaining (98.8%)

Threshold costs 0.0b (98.8%)

Compiler

Compiled 15793 to 4338 computations (72.5% saved)

bsearch203.0ms (2%)

Steps

Iters	Range		Point
10	4.201614199039387e-09	23817336.16383811	439.49453262676485
8	-7528.635414377498	-0.6659705285180639	-393.79218047678273

Compiler

Compiled 1 to 1 computations (0% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64_2737`
13×	`+-commutative_binary64_2736`
1×	`1-exp_binary64_2850`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_3066` `if-if-and_binary64_3065` `if-if-or-not_binary64_3064` `if-if-or_binary64_3063` `if-not_binary64_3062` `if-same_binary64_3061` `if-false_binary64_3060` `if-true_binary64_3059` `tan-0_binary64_2935` `cos-0_binary64_2934` `sin-0_binary64_2933` `unpow1_binary64_2864` `e-exp-1_binary64_2851` `exp-1-e_binary64_2849` `exp-0_binary64_2848` `sqr-abs_binary64_2821` `sqr-neg_binary64_2820` `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	67	304
1	100	304
2	98	304

end0.0ms (0%)

sample2.9s (27.8%)

Algorithm

1×

intervals

Results

967.0ms

8000×

body

128

valid

Compiler

Compiled 7317 to 2043 computations (72.1% saved)

Details

analyze219.0ms (2.1%)

sample47.0ms (0.5%)

simplify68.0ms (0.7%)

prune13.0ms (0.1%)

localize44.0ms (0.4%)

rewrite1.2s (11.6%)

series559.0ms (5.4%)

simplify318.0ms (3.1%)

prune743.0ms (7.2%)

localize6.0ms (0.1%)

rewrite138.0ms (1.3%)

series147.0ms (1.4%)

simplify86.0ms (0.8%)

prune61.0ms (0.6%)

localize47.0ms (0.5%)

rewrite908.0ms (8.8%)

series439.0ms (4.3%)

simplify249.0ms (2.4%)

prune325.0ms (3.2%)

localize8.0ms (0.1%)

rewrite182.0ms (1.8%)

series338.0ms (3.3%)

simplify154.0ms (1.5%)

prune75.0ms (0.7%)

regimes840.0ms (8.2%)

bsearch203.0ms (2%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample2.9s (27.8%)

Profiling