Details

Time bar (total: 630.0ms)

analyze192.0ms (30.5%)

Algorithm
search
egg-herbie
Rules
+-commutative_binary64_5805 swap-x-y
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_6138 erf-erfc_binary64_6137 erf-odd_binary64_6136 if-if-and-not_binary64_6135 if-if-and_binary64_6134 if-if-or-not_binary64_6133 if-if-or_binary64_6132 if-not_binary64_6131 if-same_binary64_6130 if-false_binary64_6129 if-true_binary64_6128 not-gte_binary64_6127 not-lte_binary64_6126 not-gt_binary64_6125 not-lt_binary64_6124 gte-same_binary64_6123 lte-same_binary64_6122 gt-same_binary64_6121 lt-same_binary64_6120 sinh---cosh_binary64_6067 sinh-+-cosh_binary64_6066 sinh-cosh_binary64_6065 tanh-def-c_binary64_6064 tanh-def-b_binary64_6063 tanh-def-a_binary64_6062 cosh-def_binary64_6061 sinh-def_binary64_6060 tan-neg_binary64_6007 cos-neg_binary64_6006 sin-neg_binary64_6005 tan-0_binary64_6004 cos-0_binary64_6003 sin-0_binary64_6002 hang-m-tan_binary64_6001 hang-p-tan_binary64_6000 hang-m0-tan_binary64_5999 hang-p0-tan_binary64_5998 hang-0m-tan_binary64_5997 hang-0p-tan_binary64_5996 tan-+PI/2_binary64_5995 tan-+PI_binary64_5994 tan-PI_binary64_5993 tan-PI/3_binary64_5992 tan-PI/4_binary64_5991 tan-PI/6_binary64_5990 cos-+PI/2_binary64_5989 cos-+PI_binary64_5988 cos-PI_binary64_5987 cos-PI/2_binary64_5986 cos-PI/3_binary64_5985 cos-PI/4_binary64_5984 cos-PI/6_binary64_5983 sin-+PI/2_binary64_5982 sin-+PI_binary64_5981 sin-PI_binary64_5980 sin-PI/2_binary64_5979 sin-PI/3_binary64_5978 sin-PI/4_binary64_5977 sin-PI/6_binary64_5976 sub-1-sin_binary64_5975 sub-1-cos_binary64_5974 -1-add-sin_binary64_5973 -1-add-cos_binary64_5972 1-sub-sin_binary64_5971 1-sub-cos_binary64_5970 cos-sin-sum_binary64_5969 log-E_binary64_5965 log-pow_binary64_5964 log-rec_binary64_5963 log-div_binary64_5962 log-prod_binary64_5961 pow-base-0_binary64_5959 unpow1/3_binary64_5942 unpow3_binary64_5941 unpow2_binary64_5940 unpow1/2_binary64_5939 pow-plus_binary64_5938 exp-to-pow_binary64_5937 pow-base-1_binary64_5935 unpow0_binary64_5934 unpow1_binary64_5933 unpow-1_binary64_5932 exp-lft-cube_binary64_5931 exp-lft-sqr_binary64_5930 exp-cbrt_binary64_5929 exp-sqrt_binary64_5928 exp-prod_binary64_5927 div-exp_binary64_5926 rec-exp_binary64_5925 prod-exp_binary64_5924 exp-diff_binary64_5923 exp-neg_binary64_5922 exp-sum_binary64_5921 e-exp-1_binary64_5920 1-exp_binary64_5919 exp-1-e_binary64_5918 exp-0_binary64_5917 rem-log-exp_binary64_5916 rem-exp-log_binary64_5915 cube-unmult_binary64_5912 cube-mult_binary64_5905 cube-div_binary64_5904 cube-prod_binary64_5903 cube-neg_binary64_5902 rem-3cbrt-rft_binary64_5901 rem-3cbrt-lft_binary64_5900 rem-cbrt-cube_binary64_5899 rem-cube-cbrt_binary64_5898 sqr-abs_binary64_5890 sqr-neg_binary64_5889 rem-sqrt-square_binary64_5888 rem-square-sqrt_binary64_5887 times-frac_binary64_5881 div-sub_binary64_5880 neg-mul-1_binary64_5871 neg-sub0_binary64_5870 unsub-neg_binary64_5869 sub-neg_binary64_5868 mul-1-neg_binary64_5867 /-rgt-identity_binary64_5866 *-rgt-identity_binary64_5865 *-lft-identity_binary64_5864 remove-double-neg_binary64_5863 sub0-neg_binary64_5862 --rgt-identity_binary64_5861 +-rgt-identity_binary64_5860 +-lft-identity_binary64_5859 mul0-rgt_binary64_5858 mul0-lft_binary64_5857 div0_binary64_5856 *-inverses_binary64_5855 +-inverses_binary64_5854 lft-mult-inverse_binary64_5853 rgt-mult-inverse_binary64_5852 remove-double-div_binary64_5851 pow-sqr_binary64_5848 sqr-pow_binary64_5847 difference-of-sqr--1_binary64_5846 difference-of-sqr-1_binary64_5845 difference-of-squares_binary64_5844 unswap-sqr_binary64_5843 swap-sqr_binary64_5842 cancel-sign-sub-inv_binary64_5841 cancel-sign-sub_binary64_5840 distribute-neg-frac_binary64_5839 distribute-frac-neg_binary64_5838 distribute-neg-out_binary64_5837 distribute-neg-in_binary64_5836 distribute-rgt-neg-out_binary64_5835 distribute-lft-neg-out_binary64_5834 distribute-rgt-neg-in_binary64_5833 distribute-lft-neg-in_binary64_5832 distribute-rgt1-in_binary64_5831 distribute-lft1-in_binary64_5830 distribute-rgt-out--_binary64_5829 distribute-rgt-out_binary64_5828 distribute-lft-out--_binary64_5827 distribute-lft-out_binary64_5826 distribute-rgt-in_binary64_5825 distribute-lft-in_binary64_5824 count-2_binary64_5823 associate-/l/_binary64_5822 associate-/r/_binary64_5821 associate-/l*_binary64_5820 associate-/r*_binary64_5819 associate-*l/_binary64_5818 associate-*r/_binary64_5817 associate-*l*_binary64_5816 associate-*r*_binary64_5815 associate--r-_binary64_5814 associate--l-_binary64_5813 associate--l+_binary64_5812 associate--r+_binary64_5811 associate-+l-_binary64_5810 associate-+r-_binary64_5809 associate-+l+_binary64_5808 associate-+r+_binary64_5807 *-commutative_binary64_5806
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
1714
2714
022
122
Search
TrueOtherFalseIter
0%99.9%0.1%0
99.9%0%0.1%1
Symmetry

(sort x y)

Compiler

Compiled 6 to 6 computations (0% saved)

sample19.0ms (2.9%)

Algorithm
intervals
Results
5.0ms256×body128valid
Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify8.0ms (1.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64_5805
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_6138 erf-erfc_binary64_6137 erf-odd_binary64_6136 if-if-and-not_binary64_6135 if-if-and_binary64_6134 if-if-or-not_binary64_6133 if-if-or_binary64_6132 if-not_binary64_6131 if-same_binary64_6130 if-false_binary64_6129 if-true_binary64_6128 not-gte_binary64_6127 not-lte_binary64_6126 not-gt_binary64_6125 not-lt_binary64_6124 gte-same_binary64_6123 lte-same_binary64_6122 gt-same_binary64_6121 lt-same_binary64_6120 sinh---cosh_binary64_6067 sinh-+-cosh_binary64_6066 sinh-cosh_binary64_6065 tanh-def-c_binary64_6064 tanh-def-b_binary64_6063 tanh-def-a_binary64_6062 cosh-def_binary64_6061 sinh-def_binary64_6060 tan-neg_binary64_6007 cos-neg_binary64_6006 sin-neg_binary64_6005 tan-0_binary64_6004 cos-0_binary64_6003 sin-0_binary64_6002 hang-m-tan_binary64_6001 hang-p-tan_binary64_6000 hang-m0-tan_binary64_5999 hang-p0-tan_binary64_5998 hang-0m-tan_binary64_5997 hang-0p-tan_binary64_5996 tan-+PI/2_binary64_5995 tan-+PI_binary64_5994 tan-PI_binary64_5993 tan-PI/3_binary64_5992 tan-PI/4_binary64_5991 tan-PI/6_binary64_5990 cos-+PI/2_binary64_5989 cos-+PI_binary64_5988 cos-PI_binary64_5987 cos-PI/2_binary64_5986 cos-PI/3_binary64_5985 cos-PI/4_binary64_5984 cos-PI/6_binary64_5983 sin-+PI/2_binary64_5982 sin-+PI_binary64_5981 sin-PI_binary64_5980 sin-PI/2_binary64_5979 sin-PI/3_binary64_5978 sin-PI/4_binary64_5977 sin-PI/6_binary64_5976 sub-1-sin_binary64_5975 sub-1-cos_binary64_5974 -1-add-sin_binary64_5973 -1-add-cos_binary64_5972 1-sub-sin_binary64_5971 1-sub-cos_binary64_5970 cos-sin-sum_binary64_5969 log-E_binary64_5965 log-pow_binary64_5964 log-rec_binary64_5963 log-div_binary64_5962 log-prod_binary64_5961 pow-base-0_binary64_5959 unpow1/3_binary64_5942 unpow3_binary64_5941 unpow2_binary64_5940 unpow1/2_binary64_5939 pow-plus_binary64_5938 exp-to-pow_binary64_5937 pow-base-1_binary64_5935 unpow0_binary64_5934 unpow1_binary64_5933 unpow-1_binary64_5932 exp-lft-cube_binary64_5931 exp-lft-sqr_binary64_5930 exp-cbrt_binary64_5929 exp-sqrt_binary64_5928 exp-prod_binary64_5927 div-exp_binary64_5926 rec-exp_binary64_5925 prod-exp_binary64_5924 exp-diff_binary64_5923 exp-neg_binary64_5922 exp-sum_binary64_5921 e-exp-1_binary64_5920 1-exp_binary64_5919 exp-1-e_binary64_5918 exp-0_binary64_5917 rem-log-exp_binary64_5916 rem-exp-log_binary64_5915 cube-unmult_binary64_5912 cube-mult_binary64_5905 cube-div_binary64_5904 cube-prod_binary64_5903 cube-neg_binary64_5902 rem-3cbrt-rft_binary64_5901 rem-3cbrt-lft_binary64_5900 rem-cbrt-cube_binary64_5899 rem-cube-cbrt_binary64_5898 sqr-abs_binary64_5890 sqr-neg_binary64_5889 rem-sqrt-square_binary64_5888 rem-square-sqrt_binary64_5887 times-frac_binary64_5881 div-sub_binary64_5880 neg-mul-1_binary64_5871 neg-sub0_binary64_5870 unsub-neg_binary64_5869 sub-neg_binary64_5868 mul-1-neg_binary64_5867 /-rgt-identity_binary64_5866 *-rgt-identity_binary64_5865 *-lft-identity_binary64_5864 remove-double-neg_binary64_5863 sub0-neg_binary64_5862 --rgt-identity_binary64_5861 +-rgt-identity_binary64_5860 +-lft-identity_binary64_5859 mul0-rgt_binary64_5858 mul0-lft_binary64_5857 div0_binary64_5856 *-inverses_binary64_5855 +-inverses_binary64_5854 lft-mult-inverse_binary64_5853 rgt-mult-inverse_binary64_5852 remove-double-div_binary64_5851 pow-sqr_binary64_5848 sqr-pow_binary64_5847 difference-of-sqr--1_binary64_5846 difference-of-sqr-1_binary64_5845 difference-of-squares_binary64_5844 unswap-sqr_binary64_5843 swap-sqr_binary64_5842 cancel-sign-sub-inv_binary64_5841 cancel-sign-sub_binary64_5840 distribute-neg-frac_binary64_5839 distribute-frac-neg_binary64_5838 distribute-neg-out_binary64_5837 distribute-neg-in_binary64_5836 distribute-rgt-neg-out_binary64_5835 distribute-lft-neg-out_binary64_5834 distribute-rgt-neg-in_binary64_5833 distribute-lft-neg-in_binary64_5832 distribute-rgt1-in_binary64_5831 distribute-lft1-in_binary64_5830 distribute-rgt-out--_binary64_5829 distribute-rgt-out_binary64_5828 distribute-lft-out--_binary64_5827 distribute-lft-out_binary64_5826 distribute-rgt-in_binary64_5825 distribute-lft-in_binary64_5824 count-2_binary64_5823 associate-/l/_binary64_5822 associate-/r/_binary64_5821 associate-/l*_binary64_5820 associate-/r*_binary64_5819 associate-*l/_binary64_5818 associate-*r/_binary64_5817 associate-*l*_binary64_5816 associate-*r*_binary64_5815 associate--r-_binary64_5814 associate--l-_binary64_5813 associate--l+_binary64_5812 associate--r+_binary64_5811 associate-+l-_binary64_5810 associate-+r-_binary64_5809 associate-+l+_binary64_5808 associate-+r+_binary64_5807 *-commutative_binary64_5806
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
277

prune1.0ms (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 (0.5%)

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)

simplify7.0ms (1.2%)

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_6138 erf-erfc_binary64_6137 erf-odd_binary64_6136 if-if-and-not_binary64_6135 if-if-and_binary64_6134 if-if-or-not_binary64_6133 if-if-or_binary64_6132 if-not_binary64_6131 if-same_binary64_6130 if-false_binary64_6129 if-true_binary64_6128 not-gte_binary64_6127 not-lte_binary64_6126 not-gt_binary64_6125 not-lt_binary64_6124 gte-same_binary64_6123 lte-same_binary64_6122 gt-same_binary64_6121 lt-same_binary64_6120 sinh---cosh_binary64_6067 sinh-+-cosh_binary64_6066 sinh-cosh_binary64_6065 tanh-def-c_binary64_6064 tanh-def-b_binary64_6063 tanh-def-a_binary64_6062 cosh-def_binary64_6061 sinh-def_binary64_6060 tan-neg_binary64_6007 cos-neg_binary64_6006 sin-neg_binary64_6005 tan-0_binary64_6004 cos-0_binary64_6003 sin-0_binary64_6002 hang-m-tan_binary64_6001 hang-p-tan_binary64_6000 hang-m0-tan_binary64_5999 hang-p0-tan_binary64_5998 hang-0m-tan_binary64_5997 hang-0p-tan_binary64_5996 tan-+PI/2_binary64_5995 tan-+PI_binary64_5994 tan-PI_binary64_5993 tan-PI/3_binary64_5992 tan-PI/4_binary64_5991 tan-PI/6_binary64_5990 cos-+PI/2_binary64_5989 cos-+PI_binary64_5988 cos-PI_binary64_5987 cos-PI/2_binary64_5986 cos-PI/3_binary64_5985 cos-PI/4_binary64_5984 cos-PI/6_binary64_5983 sin-+PI/2_binary64_5982 sin-+PI_binary64_5981 sin-PI_binary64_5980 sin-PI/2_binary64_5979 sin-PI/3_binary64_5978 sin-PI/4_binary64_5977 sin-PI/6_binary64_5976 sub-1-sin_binary64_5975 sub-1-cos_binary64_5974 -1-add-sin_binary64_5973 -1-add-cos_binary64_5972 1-sub-sin_binary64_5971 1-sub-cos_binary64_5970 cos-sin-sum_binary64_5969 log-E_binary64_5965 log-pow_binary64_5964 log-rec_binary64_5963 log-div_binary64_5962 log-prod_binary64_5961 pow-base-0_binary64_5959 unpow1/3_binary64_5942 unpow3_binary64_5941 unpow2_binary64_5940 unpow1/2_binary64_5939 pow-plus_binary64_5938 exp-to-pow_binary64_5937 pow-base-1_binary64_5935 unpow0_binary64_5934 unpow1_binary64_5933 unpow-1_binary64_5932 exp-lft-cube_binary64_5931 exp-lft-sqr_binary64_5930 exp-cbrt_binary64_5929 exp-sqrt_binary64_5928 exp-prod_binary64_5927 div-exp_binary64_5926 rec-exp_binary64_5925 prod-exp_binary64_5924 exp-diff_binary64_5923 exp-neg_binary64_5922 exp-sum_binary64_5921 e-exp-1_binary64_5920 1-exp_binary64_5919 exp-1-e_binary64_5918 exp-0_binary64_5917 rem-log-exp_binary64_5916 rem-exp-log_binary64_5915 cube-unmult_binary64_5912 cube-mult_binary64_5905 cube-div_binary64_5904 cube-prod_binary64_5903 cube-neg_binary64_5902 rem-3cbrt-rft_binary64_5901 rem-3cbrt-lft_binary64_5900 rem-cbrt-cube_binary64_5899 rem-cube-cbrt_binary64_5898 sqr-abs_binary64_5890 sqr-neg_binary64_5889 rem-sqrt-square_binary64_5888 rem-square-sqrt_binary64_5887 times-frac_binary64_5881 div-sub_binary64_5880 neg-mul-1_binary64_5871 neg-sub0_binary64_5870 unsub-neg_binary64_5869 sub-neg_binary64_5868 mul-1-neg_binary64_5867 /-rgt-identity_binary64_5866 *-rgt-identity_binary64_5865 *-lft-identity_binary64_5864 remove-double-neg_binary64_5863 sub0-neg_binary64_5862 --rgt-identity_binary64_5861 +-rgt-identity_binary64_5860 +-lft-identity_binary64_5859 mul0-rgt_binary64_5858 mul0-lft_binary64_5857 div0_binary64_5856 *-inverses_binary64_5855 +-inverses_binary64_5854 lft-mult-inverse_binary64_5853 rgt-mult-inverse_binary64_5852 remove-double-div_binary64_5851 pow-sqr_binary64_5848 sqr-pow_binary64_5847 difference-of-sqr--1_binary64_5846 difference-of-sqr-1_binary64_5845 difference-of-squares_binary64_5844 unswap-sqr_binary64_5843 swap-sqr_binary64_5842 cancel-sign-sub-inv_binary64_5841 cancel-sign-sub_binary64_5840 distribute-neg-frac_binary64_5839 distribute-frac-neg_binary64_5838 distribute-neg-out_binary64_5837 distribute-neg-in_binary64_5836 distribute-rgt-neg-out_binary64_5835 distribute-lft-neg-out_binary64_5834 distribute-rgt-neg-in_binary64_5833 distribute-lft-neg-in_binary64_5832 distribute-rgt1-in_binary64_5831 distribute-lft1-in_binary64_5830 distribute-rgt-out--_binary64_5829 distribute-rgt-out_binary64_5828 distribute-lft-out--_binary64_5827 distribute-lft-out_binary64_5826 distribute-rgt-in_binary64_5825 distribute-lft-in_binary64_5824 count-2_binary64_5823 associate-/l/_binary64_5822 associate-/r/_binary64_5821 associate-/l*_binary64_5820 associate-/r*_binary64_5819 associate-*l/_binary64_5818 associate-*r/_binary64_5817 associate-*l*_binary64_5816 associate-*r*_binary64_5815 associate--r-_binary64_5814 associate--l-_binary64_5813 associate--l+_binary64_5812 associate--r+_binary64_5811 associate-+l-_binary64_5810 associate-+r-_binary64_5809 associate-+l+_binary64_5808 associate-+r+_binary64_5807 *-commutative_binary64_5806 +-commutative_binary64_5805
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)

simplify8.0ms (1.3%)

Algorithm
egg-herbie
Rules
+-commutative_binary64_5805
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_6135 if-if-and_binary64_6134 if-if-or-not_binary64_6133 if-if-or_binary64_6132 if-not_binary64_6131 if-same_binary64_6130 if-false_binary64_6129 if-true_binary64_6128 tan-0_binary64_6004 cos-0_binary64_6003 sin-0_binary64_6002 unpow1_binary64_5933 e-exp-1_binary64_5920 1-exp_binary64_5919 exp-1-e_binary64_5918 exp-0_binary64_5917 sqr-abs_binary64_5890 sqr-neg_binary64_5889 neg-mul-1_binary64_5871 neg-sub0_binary64_5870 unsub-neg_binary64_5869 sub-neg_binary64_5868 mul-1-neg_binary64_5867 /-rgt-identity_binary64_5866 *-rgt-identity_binary64_5865 *-lft-identity_binary64_5864 remove-double-neg_binary64_5863 sub0-neg_binary64_5862 --rgt-identity_binary64_5861 +-rgt-identity_binary64_5860 +-lft-identity_binary64_5859 cancel-sign-sub-inv_binary64_5841 cancel-sign-sub_binary64_5840 distribute-neg-frac_binary64_5839 distribute-frac-neg_binary64_5838 distribute-neg-out_binary64_5837 distribute-neg-in_binary64_5836 distribute-rgt-neg-out_binary64_5835 distribute-lft-neg-out_binary64_5834 distribute-rgt-neg-in_binary64_5833 distribute-lft-neg-in_binary64_5832 *-commutative_binary64_5806
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
277
Remove

(sort x y)

Compiler

Compiled 10 to 10 computations (0% saved)

end0.0ms (0%)

sample390.0ms (61.8%)

Algorithm
intervals
Results
151.0ms8000×body128valid
Compiler

Compiled 16 to 18 computations (-12.5% saved)

Profiling

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