Details

Time bar (total: 643.0ms)

analyze205.0ms (31.9%)

Algorithm
search
egg-herbie
Rules
47×cancel-sign-sub-inv_binary64_6864
32×sub-neg_binary64_6891
17×associate--r+_binary64_6834
16×distribute-rgt-neg-in_binary64_6856
13×neg-mul-1_binary64_6894
12×associate--r-_binary64_6837 associate-+l-_binary64_6833
11×distribute-lft-neg-in_binary64_6855
10×distribute-lft-neg-out_binary64_6857
neg-sub0_binary64_6893
distribute-neg-in_binary64_6859
sub0-neg_binary64_6885 associate--l+_binary64_6835
associate-+l+_binary64_6831 +-commutative_binary64_6828
unsub-neg_binary64_6892 remove-double-neg_binary64_6886 --rgt-identity_binary64_6884 +-rgt-identity_binary64_6883 distribute-neg-out_binary64_6860 distribute-rgt-neg-out_binary64_6858 associate--l-_binary64_6836 associate-+r-_binary64_6832 *-commutative_binary64_6829
associate-+r+_binary64_6830
*-lft-identity_binary64_6887 distribute-lft1-in_binary64_6853 distribute-rgt-in_binary64_6848
1-exp_binary64_6942 distribute-rgt-out--_binary64_6852 distribute-rgt-out_binary64_6851 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_7161 erf-erfc_binary64_7160 erf-odd_binary64_7159 if-if-and-not_binary64_7158 if-if-and_binary64_7157 if-if-or-not_binary64_7156 if-if-or_binary64_7155 if-not_binary64_7154 if-same_binary64_7153 if-false_binary64_7152 if-true_binary64_7151 not-gte_binary64_7150 not-lte_binary64_7149 not-gt_binary64_7148 not-lt_binary64_7147 gte-same_binary64_7146 lte-same_binary64_7145 gt-same_binary64_7144 lt-same_binary64_7143 sinh---cosh_binary64_7090 sinh-+-cosh_binary64_7089 sinh-cosh_binary64_7088 tanh-def-c_binary64_7087 tanh-def-b_binary64_7086 tanh-def-a_binary64_7085 cosh-def_binary64_7084 sinh-def_binary64_7083 tan-neg_binary64_7030 cos-neg_binary64_7029 sin-neg_binary64_7028 tan-0_binary64_7027 cos-0_binary64_7026 sin-0_binary64_7025 hang-m-tan_binary64_7024 hang-p-tan_binary64_7023 hang-m0-tan_binary64_7022 hang-p0-tan_binary64_7021 hang-0m-tan_binary64_7020 hang-0p-tan_binary64_7019 tan-+PI/2_binary64_7018 tan-+PI_binary64_7017 tan-PI_binary64_7016 tan-PI/3_binary64_7015 tan-PI/4_binary64_7014 tan-PI/6_binary64_7013 cos-+PI/2_binary64_7012 cos-+PI_binary64_7011 cos-PI_binary64_7010 cos-PI/2_binary64_7009 cos-PI/3_binary64_7008 cos-PI/4_binary64_7007 cos-PI/6_binary64_7006 sin-+PI/2_binary64_7005 sin-+PI_binary64_7004 sin-PI_binary64_7003 sin-PI/2_binary64_7002 sin-PI/3_binary64_7001 sin-PI/4_binary64_7000 sin-PI/6_binary64_6999 sub-1-sin_binary64_6998 sub-1-cos_binary64_6997 -1-add-sin_binary64_6996 -1-add-cos_binary64_6995 1-sub-sin_binary64_6994 1-sub-cos_binary64_6993 cos-sin-sum_binary64_6992 log-E_binary64_6988 log-pow_binary64_6987 log-rec_binary64_6986 log-div_binary64_6985 log-prod_binary64_6984 pow-base-0_binary64_6982 unpow1/3_binary64_6965 unpow3_binary64_6964 unpow2_binary64_6963 unpow1/2_binary64_6962 pow-plus_binary64_6961 exp-to-pow_binary64_6960 pow-base-1_binary64_6958 unpow0_binary64_6957 unpow1_binary64_6956 unpow-1_binary64_6955 exp-lft-cube_binary64_6954 exp-lft-sqr_binary64_6953 exp-cbrt_binary64_6952 exp-sqrt_binary64_6951 exp-prod_binary64_6950 div-exp_binary64_6949 rec-exp_binary64_6948 prod-exp_binary64_6947 exp-diff_binary64_6946 exp-neg_binary64_6945 exp-sum_binary64_6944 e-exp-1_binary64_6943 exp-1-e_binary64_6941 exp-0_binary64_6940 rem-log-exp_binary64_6939 rem-exp-log_binary64_6938 cube-unmult_binary64_6935 cube-mult_binary64_6928 cube-div_binary64_6927 cube-prod_binary64_6926 cube-neg_binary64_6925 rem-3cbrt-rft_binary64_6924 rem-3cbrt-lft_binary64_6923 rem-cbrt-cube_binary64_6922 rem-cube-cbrt_binary64_6921 sqr-abs_binary64_6913 sqr-neg_binary64_6912 rem-sqrt-square_binary64_6911 rem-square-sqrt_binary64_6910 times-frac_binary64_6904 div-sub_binary64_6903 mul-1-neg_binary64_6890 /-rgt-identity_binary64_6889 *-rgt-identity_binary64_6888 +-lft-identity_binary64_6882 mul0-rgt_binary64_6881 mul0-lft_binary64_6880 div0_binary64_6879 *-inverses_binary64_6878 +-inverses_binary64_6877 lft-mult-inverse_binary64_6876 rgt-mult-inverse_binary64_6875 remove-double-div_binary64_6874 pow-sqr_binary64_6871 sqr-pow_binary64_6870 difference-of-sqr--1_binary64_6869 difference-of-sqr-1_binary64_6868 difference-of-squares_binary64_6867 unswap-sqr_binary64_6866 swap-sqr_binary64_6865 cancel-sign-sub_binary64_6863 distribute-neg-frac_binary64_6862 distribute-frac-neg_binary64_6861 distribute-rgt1-in_binary64_6854 distribute-lft-out--_binary64_6850 distribute-lft-out_binary64_6849 distribute-lft-in_binary64_6847 count-2_binary64_6846 associate-/l/_binary64_6845 associate-/r/_binary64_6844 associate-/l*_binary64_6843 associate-/r*_binary64_6842 associate-*l/_binary64_6841 associate-*r/_binary64_6840 associate-*l*_binary64_6839 associate-*r*_binary64_6838
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
12014
24214
38114
410414
516214
617714
718314
818414
916214
022
122
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
12.5%87.4%0.1%4
37.5%62.4%0.1%5
53.1%46.8%0.1%6
68.7%31.2%0.1%7
76.5%23.4%0.1%8
84.3%15.6%0.1%9
88.4%11.5%0.1%10
92.3%7.6%0.1%11
94.2%5.7%0.1%12
96.1%3.8%0.1%13
97%2.9%0.1%14
Symmetry

(sort x y)

Compiler

Compiled 6 to 6 computations (0% saved)

sample18.0ms (2.7%)

Algorithm
intervals
Results
4.0ms256×body128valid
Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify14.0ms (2.2%)

Algorithm
egg-herbie
Rules
42×cancel-sign-sub-inv_binary64_6864
35×sub-neg_binary64_6891
19×associate--r+_binary64_6834
13×distribute-rgt-neg-in_binary64_6856 associate--r-_binary64_6837
12×neg-mul-1_binary64_6894 distribute-neg-in_binary64_6859 associate-+l-_binary64_6833
11×distribute-rgt-in_binary64_6848 associate--l+_binary64_6835
sub0-neg_binary64_6885 distribute-lft-neg-in_binary64_6855
neg-sub0_binary64_6893 distribute-lft-neg-out_binary64_6857
unsub-neg_binary64_6892 associate-+l+_binary64_6831 +-commutative_binary64_6828
associate--l-_binary64_6836 associate-+r-_binary64_6832 associate-+r+_binary64_6830 *-commutative_binary64_6829
--rgt-identity_binary64_6884
remove-double-neg_binary64_6886 +-rgt-identity_binary64_6883 distribute-neg-out_binary64_6860 distribute-rgt-neg-out_binary64_6858
*-lft-identity_binary64_6887 distribute-rgt1-in_binary64_6854
1-exp_binary64_6942 mul-1-neg_binary64_6890 distribute-rgt-out--_binary64_6852 distribute-lft-out_binary64_6849 associate-*l*_binary64_6839 associate-*r*_binary64_6838
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_7161 erf-erfc_binary64_7160 erf-odd_binary64_7159 if-if-and-not_binary64_7158 if-if-and_binary64_7157 if-if-or-not_binary64_7156 if-if-or_binary64_7155 if-not_binary64_7154 if-same_binary64_7153 if-false_binary64_7152 if-true_binary64_7151 not-gte_binary64_7150 not-lte_binary64_7149 not-gt_binary64_7148 not-lt_binary64_7147 gte-same_binary64_7146 lte-same_binary64_7145 gt-same_binary64_7144 lt-same_binary64_7143 sinh---cosh_binary64_7090 sinh-+-cosh_binary64_7089 sinh-cosh_binary64_7088 tanh-def-c_binary64_7087 tanh-def-b_binary64_7086 tanh-def-a_binary64_7085 cosh-def_binary64_7084 sinh-def_binary64_7083 tan-neg_binary64_7030 cos-neg_binary64_7029 sin-neg_binary64_7028 tan-0_binary64_7027 cos-0_binary64_7026 sin-0_binary64_7025 hang-m-tan_binary64_7024 hang-p-tan_binary64_7023 hang-m0-tan_binary64_7022 hang-p0-tan_binary64_7021 hang-0m-tan_binary64_7020 hang-0p-tan_binary64_7019 tan-+PI/2_binary64_7018 tan-+PI_binary64_7017 tan-PI_binary64_7016 tan-PI/3_binary64_7015 tan-PI/4_binary64_7014 tan-PI/6_binary64_7013 cos-+PI/2_binary64_7012 cos-+PI_binary64_7011 cos-PI_binary64_7010 cos-PI/2_binary64_7009 cos-PI/3_binary64_7008 cos-PI/4_binary64_7007 cos-PI/6_binary64_7006 sin-+PI/2_binary64_7005 sin-+PI_binary64_7004 sin-PI_binary64_7003 sin-PI/2_binary64_7002 sin-PI/3_binary64_7001 sin-PI/4_binary64_7000 sin-PI/6_binary64_6999 sub-1-sin_binary64_6998 sub-1-cos_binary64_6997 -1-add-sin_binary64_6996 -1-add-cos_binary64_6995 1-sub-sin_binary64_6994 1-sub-cos_binary64_6993 cos-sin-sum_binary64_6992 log-E_binary64_6988 log-pow_binary64_6987 log-rec_binary64_6986 log-div_binary64_6985 log-prod_binary64_6984 pow-base-0_binary64_6982 unpow1/3_binary64_6965 unpow3_binary64_6964 unpow2_binary64_6963 unpow1/2_binary64_6962 pow-plus_binary64_6961 exp-to-pow_binary64_6960 pow-base-1_binary64_6958 unpow0_binary64_6957 unpow1_binary64_6956 unpow-1_binary64_6955 exp-lft-cube_binary64_6954 exp-lft-sqr_binary64_6953 exp-cbrt_binary64_6952 exp-sqrt_binary64_6951 exp-prod_binary64_6950 div-exp_binary64_6949 rec-exp_binary64_6948 prod-exp_binary64_6947 exp-diff_binary64_6946 exp-neg_binary64_6945 exp-sum_binary64_6944 e-exp-1_binary64_6943 exp-1-e_binary64_6941 exp-0_binary64_6940 rem-log-exp_binary64_6939 rem-exp-log_binary64_6938 cube-unmult_binary64_6935 cube-mult_binary64_6928 cube-div_binary64_6927 cube-prod_binary64_6926 cube-neg_binary64_6925 rem-3cbrt-rft_binary64_6924 rem-3cbrt-lft_binary64_6923 rem-cbrt-cube_binary64_6922 rem-cube-cbrt_binary64_6921 sqr-abs_binary64_6913 sqr-neg_binary64_6912 rem-sqrt-square_binary64_6911 rem-square-sqrt_binary64_6910 times-frac_binary64_6904 div-sub_binary64_6903 /-rgt-identity_binary64_6889 *-rgt-identity_binary64_6888 +-lft-identity_binary64_6882 mul0-rgt_binary64_6881 mul0-lft_binary64_6880 div0_binary64_6879 *-inverses_binary64_6878 +-inverses_binary64_6877 lft-mult-inverse_binary64_6876 rgt-mult-inverse_binary64_6875 remove-double-div_binary64_6874 pow-sqr_binary64_6871 sqr-pow_binary64_6870 difference-of-sqr--1_binary64_6869 difference-of-sqr-1_binary64_6868 difference-of-squares_binary64_6867 unswap-sqr_binary64_6866 swap-sqr_binary64_6865 cancel-sign-sub_binary64_6863 distribute-neg-frac_binary64_6862 distribute-frac-neg_binary64_6861 distribute-lft1-in_binary64_6853 distribute-rgt-out_binary64_6851 distribute-lft-out--_binary64_6850 distribute-lft-in_binary64_6847 count-2_binary64_6846 associate-/l/_binary64_6845 associate-/r/_binary64_6844 associate-/l*_binary64_6843 associate-/r*_binary64_6842 associate-*l/_binary64_6841 associate-*r/_binary64_6840
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1147
2307
3637
4977
51587
61737
71837
81847
91627

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)

simplify11.0ms (1.7%)

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_7161 erf-erfc_binary64_7160 erf-odd_binary64_7159 if-if-and-not_binary64_7158 if-if-and_binary64_7157 if-if-or-not_binary64_7156 if-if-or_binary64_7155 if-not_binary64_7154 if-same_binary64_7153 if-false_binary64_7152 if-true_binary64_7151 not-gte_binary64_7150 not-lte_binary64_7149 not-gt_binary64_7148 not-lt_binary64_7147 gte-same_binary64_7146 lte-same_binary64_7145 gt-same_binary64_7144 lt-same_binary64_7143 sinh---cosh_binary64_7090 sinh-+-cosh_binary64_7089 sinh-cosh_binary64_7088 tanh-def-c_binary64_7087 tanh-def-b_binary64_7086 tanh-def-a_binary64_7085 cosh-def_binary64_7084 sinh-def_binary64_7083 tan-neg_binary64_7030 cos-neg_binary64_7029 sin-neg_binary64_7028 tan-0_binary64_7027 cos-0_binary64_7026 sin-0_binary64_7025 hang-m-tan_binary64_7024 hang-p-tan_binary64_7023 hang-m0-tan_binary64_7022 hang-p0-tan_binary64_7021 hang-0m-tan_binary64_7020 hang-0p-tan_binary64_7019 tan-+PI/2_binary64_7018 tan-+PI_binary64_7017 tan-PI_binary64_7016 tan-PI/3_binary64_7015 tan-PI/4_binary64_7014 tan-PI/6_binary64_7013 cos-+PI/2_binary64_7012 cos-+PI_binary64_7011 cos-PI_binary64_7010 cos-PI/2_binary64_7009 cos-PI/3_binary64_7008 cos-PI/4_binary64_7007 cos-PI/6_binary64_7006 sin-+PI/2_binary64_7005 sin-+PI_binary64_7004 sin-PI_binary64_7003 sin-PI/2_binary64_7002 sin-PI/3_binary64_7001 sin-PI/4_binary64_7000 sin-PI/6_binary64_6999 sub-1-sin_binary64_6998 sub-1-cos_binary64_6997 -1-add-sin_binary64_6996 -1-add-cos_binary64_6995 1-sub-sin_binary64_6994 1-sub-cos_binary64_6993 cos-sin-sum_binary64_6992 log-E_binary64_6988 log-pow_binary64_6987 log-rec_binary64_6986 log-div_binary64_6985 log-prod_binary64_6984 pow-base-0_binary64_6982 unpow1/3_binary64_6965 unpow3_binary64_6964 unpow2_binary64_6963 unpow1/2_binary64_6962 pow-plus_binary64_6961 exp-to-pow_binary64_6960 pow-base-1_binary64_6958 unpow0_binary64_6957 unpow1_binary64_6956 unpow-1_binary64_6955 exp-lft-cube_binary64_6954 exp-lft-sqr_binary64_6953 exp-cbrt_binary64_6952 exp-sqrt_binary64_6951 exp-prod_binary64_6950 div-exp_binary64_6949 rec-exp_binary64_6948 prod-exp_binary64_6947 exp-diff_binary64_6946 exp-neg_binary64_6945 exp-sum_binary64_6944 e-exp-1_binary64_6943 1-exp_binary64_6942 exp-1-e_binary64_6941 exp-0_binary64_6940 rem-log-exp_binary64_6939 rem-exp-log_binary64_6938 cube-unmult_binary64_6935 cube-mult_binary64_6928 cube-div_binary64_6927 cube-prod_binary64_6926 cube-neg_binary64_6925 rem-3cbrt-rft_binary64_6924 rem-3cbrt-lft_binary64_6923 rem-cbrt-cube_binary64_6922 rem-cube-cbrt_binary64_6921 sqr-abs_binary64_6913 sqr-neg_binary64_6912 rem-sqrt-square_binary64_6911 rem-square-sqrt_binary64_6910 times-frac_binary64_6904 div-sub_binary64_6903 neg-mul-1_binary64_6894 neg-sub0_binary64_6893 unsub-neg_binary64_6892 sub-neg_binary64_6891 mul-1-neg_binary64_6890 /-rgt-identity_binary64_6889 *-rgt-identity_binary64_6888 *-lft-identity_binary64_6887 remove-double-neg_binary64_6886 sub0-neg_binary64_6885 --rgt-identity_binary64_6884 +-rgt-identity_binary64_6883 +-lft-identity_binary64_6882 mul0-rgt_binary64_6881 mul0-lft_binary64_6880 div0_binary64_6879 *-inverses_binary64_6878 +-inverses_binary64_6877 lft-mult-inverse_binary64_6876 rgt-mult-inverse_binary64_6875 remove-double-div_binary64_6874 pow-sqr_binary64_6871 sqr-pow_binary64_6870 difference-of-sqr--1_binary64_6869 difference-of-sqr-1_binary64_6868 difference-of-squares_binary64_6867 unswap-sqr_binary64_6866 swap-sqr_binary64_6865 cancel-sign-sub-inv_binary64_6864 cancel-sign-sub_binary64_6863 distribute-neg-frac_binary64_6862 distribute-frac-neg_binary64_6861 distribute-neg-out_binary64_6860 distribute-neg-in_binary64_6859 distribute-rgt-neg-out_binary64_6858 distribute-lft-neg-out_binary64_6857 distribute-rgt-neg-in_binary64_6856 distribute-lft-neg-in_binary64_6855 distribute-rgt1-in_binary64_6854 distribute-lft1-in_binary64_6853 distribute-rgt-out--_binary64_6852 distribute-rgt-out_binary64_6851 distribute-lft-out--_binary64_6850 distribute-lft-out_binary64_6849 distribute-rgt-in_binary64_6848 distribute-lft-in_binary64_6847 count-2_binary64_6846 associate-/l/_binary64_6845 associate-/r/_binary64_6844 associate-/l*_binary64_6843 associate-/r*_binary64_6842 associate-*l/_binary64_6841 associate-*r/_binary64_6840 associate-*l*_binary64_6839 associate-*r*_binary64_6838 associate--r-_binary64_6837 associate--l-_binary64_6836 associate--l+_binary64_6835 associate--r+_binary64_6834 associate-+l-_binary64_6833 associate-+r-_binary64_6832 associate-+l+_binary64_6831 associate-+r+_binary64_6830 *-commutative_binary64_6829 +-commutative_binary64_6828
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
sub-neg_binary64_6891 +-commutative_binary64_6828
neg-mul-1_binary64_6894 neg-sub0_binary64_6893 *-commutative_binary64_6829
1-exp_binary64_6942
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_7158 if-if-and_binary64_7157 if-if-or-not_binary64_7156 if-if-or_binary64_7155 if-not_binary64_7154 if-same_binary64_7153 if-false_binary64_7152 if-true_binary64_7151 tan-0_binary64_7027 cos-0_binary64_7026 sin-0_binary64_7025 unpow1_binary64_6956 e-exp-1_binary64_6943 exp-1-e_binary64_6941 exp-0_binary64_6940 sqr-abs_binary64_6913 sqr-neg_binary64_6912 unsub-neg_binary64_6892 mul-1-neg_binary64_6890 /-rgt-identity_binary64_6889 *-rgt-identity_binary64_6888 *-lft-identity_binary64_6887 remove-double-neg_binary64_6886 sub0-neg_binary64_6885 --rgt-identity_binary64_6884 +-rgt-identity_binary64_6883 +-lft-identity_binary64_6882 cancel-sign-sub-inv_binary64_6864 cancel-sign-sub_binary64_6863 distribute-neg-frac_binary64_6862 distribute-frac-neg_binary64_6861 distribute-neg-out_binary64_6860 distribute-neg-in_binary64_6859 distribute-rgt-neg-out_binary64_6858 distribute-lft-neg-out_binary64_6857 distribute-rgt-neg-in_binary64_6856 distribute-lft-neg-in_binary64_6855
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2197
3237
4257
5247
Remove

(sort x y)

Compiler

Compiled 10 to 10 computations (0% saved)

end0.0ms (0%)

sample379.0ms (59%)

Algorithm
intervals
Results
129.0ms7992×body128valid
0.0msbody1024valid
0.0msbody512valid
0.0msbody256valid
Compiler

Compiled 16 to 18 computations (-12.5% saved)

Profiling

Loading profile data...