Details

Time bar (total: 613.0ms)

analyze169.0ms (27.5%)

Algorithm
search
egg-herbie
Rules
40×cancel-sign-sub-inv_binary64_2772
28×sub-neg_binary64_2799
14×distribute-lft-neg-out_binary64_2765 distribute-rgt-neg-in_binary64_2764 associate-/l*_binary64_2751 associate-/r*_binary64_2750
12×neg-mul-1_binary64_2802
10×neg-sub0_binary64_2801 distribute-rgt-neg-out_binary64_2766 associate--r+_binary64_2742 associate-+l-_binary64_2741 +-commutative_binary64_2736
div-sub_binary64_2811 distribute-neg-in_binary64_2767 *-commutative_binary64_2737
remove-double-neg_binary64_2794 sub0-neg_binary64_2793 distribute-neg-frac_binary64_2770 distribute-lft-neg-in_binary64_2763 associate-*l*_binary64_2747 associate-*r*_binary64_2746 associate-+l+_binary64_2739
unsub-neg_binary64_2800 *-lft-identity_binary64_2795 distribute-frac-neg_binary64_2769 distribute-rgt-in_binary64_2756 associate-+r-_binary64_2740 associate-+r+_binary64_2738
--rgt-identity_binary64_2792 +-rgt-identity_binary64_2791 +-lft-identity_binary64_2790 distribute-rgt-out--_binary64_2760 associate-/r/_binary64_2752 associate-*l/_binary64_2749
1-exp_binary64_2850
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 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 mul-1-neg_binary64_2798 /-rgt-identity_binary64_2797 *-rgt-identity_binary64_2796 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_binary64_2771 distribute-neg-out_binary64_2768 distribute-rgt1-in_binary64_2762 distribute-lft1-in_binary64_2761 distribute-rgt-out_binary64_2759 distribute-lft-out--_binary64_2758 distribute-lft-out_binary64_2757 distribute-lft-in_binary64_2755 count-2_binary64_2754 associate-/l/_binary64_2753 associate-*r/_binary64_2748 associate--r-_binary64_2745 associate--l-_binary64_2744 associate--l+_binary64_2743
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
11214
22414
34014
45814
510014
612614
721414
821814
922014
1018214
022
122
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
74.9%25%0.1%4
74.9%25%0.1%5
87.4%12.5%0.1%6
87.4%12.5%0.1%7
93.7%6.2%0.1%8
93.7%6.2%0.1%9
96.8%3.1%0.1%10
96.8%3.1%0.1%11
98.3%1.6%0.1%12
98.3%1.6%0.1%13
99.1%0.8%0.1%14
Compiler

Compiled 6 to 6 computations (0% saved)

sample12.0ms (2%)

Algorithm
intervals
Results
4.0ms256×body128valid
Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify14.0ms (2.2%)

Algorithm
egg-herbie
Rules
22×cancel-sign-sub-inv_binary64_2772
18×sub-neg_binary64_2799
11×neg-mul-1_binary64_2802
10×distribute-rgt-in_binary64_2756
distribute-rgt-neg-in_binary64_2764 associate--r+_binary64_2742
neg-sub0_binary64_2801
unsub-neg_binary64_2800 associate-/l*_binary64_2751
*-lft-identity_binary64_2795 distribute-neg-frac_binary64_2770 distribute-lft-neg-out_binary64_2765 associate-/r*_binary64_2750 associate--r-_binary64_2745 +-commutative_binary64_2736
sub0-neg_binary64_2793 +-lft-identity_binary64_2790 distribute-neg-in_binary64_2767 distribute-lft-in_binary64_2755 associate-*l/_binary64_2749 associate-+l-_binary64_2741 *-commutative_binary64_2737
*-rgt-identity_binary64_2796
distribute-rgt-neg-out_binary64_2766 associate-*r/_binary64_2748 associate-+l+_binary64_2739
remove-double-neg_binary64_2794 --rgt-identity_binary64_2792
1-exp_binary64_2850 div-sub_binary64_2811 +-rgt-identity_binary64_2791 distribute-lft-neg-in_binary64_2763 associate-/r/_binary64_2752 associate-*l*_binary64_2747 associate-*r*_binary64_2746 associate--l+_binary64_2743 associate-+r-_binary64_2740 associate-+r+_binary64_2738
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 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 mul-1-neg_binary64_2798 /-rgt-identity_binary64_2797 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_binary64_2771 distribute-frac-neg_binary64_2769 distribute-neg-out_binary64_2768 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 count-2_binary64_2754 associate-/l/_binary64_2753 associate--l-_binary64_2744
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
2157
3237
4347
5567
6827
7957
81207
91347
101487
111517
121147

prune2.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0b
Counts
1 → 1
Compiler

Compiled 5 to 5 computations (0% saved)

localize3.0ms (0.6%)

rewrite0.0ms (0.1%)

Algorithm
rewrite-expression-head
Error
0b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0.1%)

Error
0b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

simplify8.0ms (1.3%)

Algorithm
egg-herbie
Rules
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 associate-+l+_binary64_2739 associate-+r+_binary64_2738 *-commutative_binary64_2737 +-commutative_binary64_2736
Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
100

prune1.0ms (0.2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Error
0b
Counts
1 → 1
Compiler

Compiled 5 to 5 computations (0% saved)

simplify3.0ms (0.5%)

Algorithm
egg-herbie
Rules
sub-neg_binary64_2799 +-commutative_binary64_2736
neg-mul-1_binary64_2802 neg-sub0_binary64_2801 *-commutative_binary64_2737
distribute-neg-frac_binary64_2770
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64_3066 if-if-and_binary64_3065 if-if-or-not_binary64_3064 if-if-or_binary64_3063 if-not_binary64_3062 if-same_binary64_3061 if-false_binary64_3060 if-true_binary64_3059 tan-0_binary64_2935 cos-0_binary64_2934 sin-0_binary64_2933 unpow1_binary64_2864 e-exp-1_binary64_2851 1-exp_binary64_2850 exp-1-e_binary64_2849 exp-0_binary64_2848 sqr-abs_binary64_2821 sqr-neg_binary64_2820 unsub-neg_binary64_2800 mul-1-neg_binary64_2798 /-rgt-identity_binary64_2797 *-rgt-identity_binary64_2796 *-lft-identity_binary64_2795 remove-double-neg_binary64_2794 sub0-neg_binary64_2793 --rgt-identity_binary64_2792 +-rgt-identity_binary64_2791 +-lft-identity_binary64_2790 cancel-sign-sub-inv_binary64_2772 cancel-sign-sub_binary64_2771 distribute-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)

IterNodesCost
067
187
2157
3197
4227
5237
6237

end0.0ms (0%)

sample400.0ms (65.4%)

Algorithm
intervals
Results
150.0ms8000×body128valid
Compiler

Compiled 16 to 18 computations (-12.5% saved)

Profiling

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