Details

Time bar (total: 9.8s)

analyze160.0ms (1.6%)

Algorithm
search
egg-herbie
Rules
+-commutative_binary64_22855
associate-+l+_binary64_22858
swap-x-y swap-x-z
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_23188 erf-erfc_binary64_23187 erf-odd_binary64_23186 if-if-and-not_binary64_23185 if-if-and_binary64_23184 if-if-or-not_binary64_23183 if-if-or_binary64_23182 if-not_binary64_23181 if-same_binary64_23180 if-false_binary64_23179 if-true_binary64_23178 not-gte_binary64_23177 not-lte_binary64_23176 not-gt_binary64_23175 not-lt_binary64_23174 gte-same_binary64_23173 lte-same_binary64_23172 gt-same_binary64_23171 lt-same_binary64_23170 sinh---cosh_binary64_23117 sinh-+-cosh_binary64_23116 sinh-cosh_binary64_23115 tanh-def-c_binary64_23114 tanh-def-b_binary64_23113 tanh-def-a_binary64_23112 cosh-def_binary64_23111 sinh-def_binary64_23110 tan-neg_binary64_23057 cos-neg_binary64_23056 sin-neg_binary64_23055 tan-0_binary64_23054 cos-0_binary64_23053 sin-0_binary64_23052 hang-m-tan_binary64_23051 hang-p-tan_binary64_23050 hang-m0-tan_binary64_23049 hang-p0-tan_binary64_23048 hang-0m-tan_binary64_23047 hang-0p-tan_binary64_23046 tan-+PI/2_binary64_23045 tan-+PI_binary64_23044 tan-PI_binary64_23043 tan-PI/3_binary64_23042 tan-PI/4_binary64_23041 tan-PI/6_binary64_23040 cos-+PI/2_binary64_23039 cos-+PI_binary64_23038 cos-PI_binary64_23037 cos-PI/2_binary64_23036 cos-PI/3_binary64_23035 cos-PI/4_binary64_23034 cos-PI/6_binary64_23033 sin-+PI/2_binary64_23032 sin-+PI_binary64_23031 sin-PI_binary64_23030 sin-PI/2_binary64_23029 sin-PI/3_binary64_23028 sin-PI/4_binary64_23027 sin-PI/6_binary64_23026 sub-1-sin_binary64_23025 sub-1-cos_binary64_23024 -1-add-sin_binary64_23023 -1-add-cos_binary64_23022 1-sub-sin_binary64_23021 1-sub-cos_binary64_23020 cos-sin-sum_binary64_23019 log-E_binary64_23015 log-pow_binary64_23014 log-rec_binary64_23013 log-div_binary64_23012 log-prod_binary64_23011 pow-base-0_binary64_23009 unpow1/3_binary64_22992 unpow3_binary64_22991 unpow2_binary64_22990 unpow1/2_binary64_22989 pow-plus_binary64_22988 exp-to-pow_binary64_22987 pow-base-1_binary64_22985 unpow0_binary64_22984 unpow1_binary64_22983 unpow-1_binary64_22982 exp-lft-cube_binary64_22981 exp-lft-sqr_binary64_22980 exp-cbrt_binary64_22979 exp-sqrt_binary64_22978 exp-prod_binary64_22977 div-exp_binary64_22976 rec-exp_binary64_22975 prod-exp_binary64_22974 exp-diff_binary64_22973 exp-neg_binary64_22972 exp-sum_binary64_22971 e-exp-1_binary64_22970 1-exp_binary64_22969 exp-1-e_binary64_22968 exp-0_binary64_22967 rem-log-exp_binary64_22966 rem-exp-log_binary64_22965 cube-unmult_binary64_22962 cube-mult_binary64_22955 cube-div_binary64_22954 cube-prod_binary64_22953 cube-neg_binary64_22952 rem-3cbrt-rft_binary64_22951 rem-3cbrt-lft_binary64_22950 rem-cbrt-cube_binary64_22949 rem-cube-cbrt_binary64_22948 sqr-abs_binary64_22940 sqr-neg_binary64_22939 rem-sqrt-square_binary64_22938 rem-square-sqrt_binary64_22937 times-frac_binary64_22931 div-sub_binary64_22930 neg-mul-1_binary64_22921 neg-sub0_binary64_22920 unsub-neg_binary64_22919 sub-neg_binary64_22918 mul-1-neg_binary64_22917 /-rgt-identity_binary64_22916 *-rgt-identity_binary64_22915 *-lft-identity_binary64_22914 remove-double-neg_binary64_22913 sub0-neg_binary64_22912 --rgt-identity_binary64_22911 +-rgt-identity_binary64_22910 +-lft-identity_binary64_22909 mul0-rgt_binary64_22908 mul0-lft_binary64_22907 div0_binary64_22906 *-inverses_binary64_22905 +-inverses_binary64_22904 lft-mult-inverse_binary64_22903 rgt-mult-inverse_binary64_22902 remove-double-div_binary64_22901 pow-sqr_binary64_22898 sqr-pow_binary64_22897 difference-of-sqr--1_binary64_22896 difference-of-sqr-1_binary64_22895 difference-of-squares_binary64_22894 unswap-sqr_binary64_22893 swap-sqr_binary64_22892 cancel-sign-sub-inv_binary64_22891 cancel-sign-sub_binary64_22890 distribute-neg-frac_binary64_22889 distribute-frac-neg_binary64_22888 distribute-neg-out_binary64_22887 distribute-neg-in_binary64_22886 distribute-rgt-neg-out_binary64_22885 distribute-lft-neg-out_binary64_22884 distribute-rgt-neg-in_binary64_22883 distribute-lft-neg-in_binary64_22882 distribute-rgt1-in_binary64_22881 distribute-lft1-in_binary64_22880 distribute-rgt-out--_binary64_22879 distribute-rgt-out_binary64_22878 distribute-lft-out--_binary64_22877 distribute-lft-out_binary64_22876 distribute-rgt-in_binary64_22875 distribute-lft-in_binary64_22874 count-2_binary64_22873 associate-/l/_binary64_22872 associate-/r/_binary64_22871 associate-/l*_binary64_22870 associate-/r*_binary64_22869 associate-*l/_binary64_22868 associate-*r/_binary64_22867 associate-*l*_binary64_22866 associate-*r*_binary64_22865 associate--r-_binary64_22864 associate--l-_binary64_22863 associate--l+_binary64_22862 associate--r+_binary64_22861 associate-+l-_binary64_22860 associate-+r-_binary64_22859 associate-+r+_binary64_22857 *-commutative_binary64_22856 swap-y-z
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02484
12284
22284
033
133
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
0%99.9%0.1%4
49.9%49.9%0.1%5
74.9%25%0.1%6
87.4%12.5%0.1%7
93.6%6.2%0.1%8
96.7%3.1%0.1%9
98.3%1.6%0.1%10
99.1%0.8%0.1%11
99.5%0.4%0.1%12
99.7%0.2%0.1%13
99.8%0.1%0.1%14
Symmetry

(sort x y z)

Compiler

Compiled 15 to 12 computations (20% saved)

sample40.0ms (0.4%)

Algorithm
intervals
Results
12.0ms256×body128valid
Compiler

Compiled 29 to 26 computations (10.3% saved)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64_22855
associate-+l+_binary64_22858 associate-+r+_binary64_22857
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_23188 erf-erfc_binary64_23187 erf-odd_binary64_23186 if-if-and-not_binary64_23185 if-if-and_binary64_23184 if-if-or-not_binary64_23183 if-if-or_binary64_23182 if-not_binary64_23181 if-same_binary64_23180 if-false_binary64_23179 if-true_binary64_23178 not-gte_binary64_23177 not-lte_binary64_23176 not-gt_binary64_23175 not-lt_binary64_23174 gte-same_binary64_23173 lte-same_binary64_23172 gt-same_binary64_23171 lt-same_binary64_23170 sinh---cosh_binary64_23117 sinh-+-cosh_binary64_23116 sinh-cosh_binary64_23115 tanh-def-c_binary64_23114 tanh-def-b_binary64_23113 tanh-def-a_binary64_23112 cosh-def_binary64_23111 sinh-def_binary64_23110 tan-neg_binary64_23057 cos-neg_binary64_23056 sin-neg_binary64_23055 tan-0_binary64_23054 cos-0_binary64_23053 sin-0_binary64_23052 hang-m-tan_binary64_23051 hang-p-tan_binary64_23050 hang-m0-tan_binary64_23049 hang-p0-tan_binary64_23048 hang-0m-tan_binary64_23047 hang-0p-tan_binary64_23046 tan-+PI/2_binary64_23045 tan-+PI_binary64_23044 tan-PI_binary64_23043 tan-PI/3_binary64_23042 tan-PI/4_binary64_23041 tan-PI/6_binary64_23040 cos-+PI/2_binary64_23039 cos-+PI_binary64_23038 cos-PI_binary64_23037 cos-PI/2_binary64_23036 cos-PI/3_binary64_23035 cos-PI/4_binary64_23034 cos-PI/6_binary64_23033 sin-+PI/2_binary64_23032 sin-+PI_binary64_23031 sin-PI_binary64_23030 sin-PI/2_binary64_23029 sin-PI/3_binary64_23028 sin-PI/4_binary64_23027 sin-PI/6_binary64_23026 sub-1-sin_binary64_23025 sub-1-cos_binary64_23024 -1-add-sin_binary64_23023 -1-add-cos_binary64_23022 1-sub-sin_binary64_23021 1-sub-cos_binary64_23020 cos-sin-sum_binary64_23019 log-E_binary64_23015 log-pow_binary64_23014 log-rec_binary64_23013 log-div_binary64_23012 log-prod_binary64_23011 pow-base-0_binary64_23009 unpow1/3_binary64_22992 unpow3_binary64_22991 unpow2_binary64_22990 unpow1/2_binary64_22989 pow-plus_binary64_22988 exp-to-pow_binary64_22987 pow-base-1_binary64_22985 unpow0_binary64_22984 unpow1_binary64_22983 unpow-1_binary64_22982 exp-lft-cube_binary64_22981 exp-lft-sqr_binary64_22980 exp-cbrt_binary64_22979 exp-sqrt_binary64_22978 exp-prod_binary64_22977 div-exp_binary64_22976 rec-exp_binary64_22975 prod-exp_binary64_22974 exp-diff_binary64_22973 exp-neg_binary64_22972 exp-sum_binary64_22971 e-exp-1_binary64_22970 1-exp_binary64_22969 exp-1-e_binary64_22968 exp-0_binary64_22967 rem-log-exp_binary64_22966 rem-exp-log_binary64_22965 cube-unmult_binary64_22962 cube-mult_binary64_22955 cube-div_binary64_22954 cube-prod_binary64_22953 cube-neg_binary64_22952 rem-3cbrt-rft_binary64_22951 rem-3cbrt-lft_binary64_22950 rem-cbrt-cube_binary64_22949 rem-cube-cbrt_binary64_22948 sqr-abs_binary64_22940 sqr-neg_binary64_22939 rem-sqrt-square_binary64_22938 rem-square-sqrt_binary64_22937 times-frac_binary64_22931 div-sub_binary64_22930 neg-mul-1_binary64_22921 neg-sub0_binary64_22920 unsub-neg_binary64_22919 sub-neg_binary64_22918 mul-1-neg_binary64_22917 /-rgt-identity_binary64_22916 *-rgt-identity_binary64_22915 *-lft-identity_binary64_22914 remove-double-neg_binary64_22913 sub0-neg_binary64_22912 --rgt-identity_binary64_22911 +-rgt-identity_binary64_22910 +-lft-identity_binary64_22909 mul0-rgt_binary64_22908 mul0-lft_binary64_22907 div0_binary64_22906 *-inverses_binary64_22905 +-inverses_binary64_22904 lft-mult-inverse_binary64_22903 rgt-mult-inverse_binary64_22902 remove-double-div_binary64_22901 pow-sqr_binary64_22898 sqr-pow_binary64_22897 difference-of-sqr--1_binary64_22896 difference-of-sqr-1_binary64_22895 difference-of-squares_binary64_22894 unswap-sqr_binary64_22893 swap-sqr_binary64_22892 cancel-sign-sub-inv_binary64_22891 cancel-sign-sub_binary64_22890 distribute-neg-frac_binary64_22889 distribute-frac-neg_binary64_22888 distribute-neg-out_binary64_22887 distribute-neg-in_binary64_22886 distribute-rgt-neg-out_binary64_22885 distribute-lft-neg-out_binary64_22884 distribute-rgt-neg-in_binary64_22883 distribute-lft-neg-in_binary64_22882 distribute-rgt1-in_binary64_22881 distribute-lft1-in_binary64_22880 distribute-rgt-out--_binary64_22879 distribute-rgt-out_binary64_22878 distribute-lft-out--_binary64_22877 distribute-lft-out_binary64_22876 distribute-rgt-in_binary64_22875 distribute-lft-in_binary64_22874 count-2_binary64_22873 associate-/l/_binary64_22872 associate-/r/_binary64_22871 associate-/l*_binary64_22870 associate-/r*_binary64_22869 associate-*l/_binary64_22868 associate-*r/_binary64_22867 associate-*l*_binary64_22866 associate-*r*_binary64_22865 associate--r-_binary64_22864 associate--l-_binary64_22863 associate--l+_binary64_22862 associate--r+_binary64_22861 associate-+l-_binary64_22860 associate-+r-_binary64_22859 *-commutative_binary64_22856
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01221
11621
22221
32221
42221

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
38.4b
Counts
1 → 1
Compiler

Compiled 14 to 11 computations (21.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 x x) (*.f64 y y))
0.0b
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
0.3b
(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) 3)
35.5b
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) 3))

rewrite332.0ms (3.4%)

Algorithm
rewrite-expression-head
Error
38.3b
Rules
22×add-sqr-sqrt_binary64_22947
19×add-cube-cbrt_binary64_22960 times-frac_binary64_22931 *-un-lft-identity_binary64_22925
13×sqrt-prod_binary64_22941
11×add-log-exp_binary64_22964
add-exp-log_binary64_22963 add-cbrt-cube_binary64_22961
pow1_binary64_22986
sum-log_binary64_23016
flip3-+_binary64_22928 flip-+_binary64_22899 associate-/l*_binary64_22870 associate-/r*_binary64_22869
div-inv_binary64_22922 rem-sqrt-square_binary64_22938 associate-/l/_binary64_22872 +-commutative_binary64_22855
pow1/2_binary64_23005 sqrt-pow1_binary64_22943 sqrt-div_binary64_22942 div-exp_binary64_22976 cbrt-undiv_binary64_22959 frac-2neg_binary64_22936 clear-num_binary64_22924 associate-+l+_binary64_22858
Counts
4 → 78
Calls

4 calls:

9.0ms
(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) 3)
8.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
7.0ms
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) 3))
4.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
Compiler

Compiled 2077 to 563 computations (72.9% saved)

series1.2s (12.3%)

Error
0.7b
Counts
4 → 65
Calls

4 calls:

414.0ms
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) 3))
346.0ms
(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) 3)
242.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
123.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
Compiler

Compiled 2812 to 2553 computations (9.2% saved)

simplify207.0ms (2.1%)

Algorithm
egg-herbie
Rules
684×associate-/l*_binary64_22870
397×distribute-rgt-in_binary64_22875
345×distribute-lft-in_binary64_22874
204×cancel-sign-sub-inv_binary64_22891
183×associate-/r/_binary64_22871
111×associate-*r*_binary64_22865
100×distribute-rgt-neg-in_binary64_22883 *-commutative_binary64_22856
91×times-frac_binary64_22931 sub-neg_binary64_22918
87×associate-*l*_binary64_22866
85×distribute-lft-neg-in_binary64_22882
82×unswap-sqr_binary64_22893
69×associate-/l/_binary64_22872
56×+-commutative_binary64_22855
54×distribute-neg-frac_binary64_22889 associate-/r*_binary64_22869
46×distribute-neg-in_binary64_22886
44×neg-sub0_binary64_22920
42×sqr-pow_binary64_22897
39×neg-mul-1_binary64_22921 associate-*l/_binary64_22868
38×distribute-rgt-out_binary64_22878
34×associate-*r/_binary64_22867
30×associate-+l+_binary64_22858
23×associate--r+_binary64_22861
22×associate--l+_binary64_22862
21×unsub-neg_binary64_22919
19×distribute-lft-out_binary64_22876
18×associate-+r+_binary64_22857
16×pow-plus_binary64_22988 distribute-lft-neg-out_binary64_22884
14×unpow3_binary64_22991
13×difference-of-squares_binary64_22894
11×cube-unmult_binary64_22962 cube-prod_binary64_22953 distribute-rgt-out--_binary64_22879
10×exp-prod_binary64_22977
pow-sqr_binary64_22898
cube-mult_binary64_22955
prod-exp_binary64_22974 div-sub_binary64_22930 mul-1-neg_binary64_22917
exp-sum_binary64_22971 rem-sqrt-square_binary64_22938 /-rgt-identity_binary64_22916 distribute-rgt-neg-out_binary64_22885
unpow2_binary64_22990 unpow1/2_binary64_22989 unpow1_binary64_22983 *-rgt-identity_binary64_22915
log-div_binary64_23012 associate-+l-_binary64_22860 associate-+r-_binary64_22859
log-prod_binary64_23011 exp-cbrt_binary64_22979 1-exp_binary64_22969 cube-div_binary64_22954 rem-square-sqrt_binary64_22937 *-lft-identity_binary64_22914 distribute-lft-out--_binary64_22877 count-2_binary64_22873
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_23188 erf-erfc_binary64_23187 erf-odd_binary64_23186 if-if-and-not_binary64_23185 if-if-and_binary64_23184 if-if-or-not_binary64_23183 if-if-or_binary64_23182 if-not_binary64_23181 if-same_binary64_23180 if-false_binary64_23179 if-true_binary64_23178 not-gte_binary64_23177 not-lte_binary64_23176 not-gt_binary64_23175 not-lt_binary64_23174 gte-same_binary64_23173 lte-same_binary64_23172 gt-same_binary64_23171 lt-same_binary64_23170 sinh---cosh_binary64_23117 sinh-+-cosh_binary64_23116 sinh-cosh_binary64_23115 tanh-def-c_binary64_23114 tanh-def-b_binary64_23113 tanh-def-a_binary64_23112 cosh-def_binary64_23111 sinh-def_binary64_23110 tan-neg_binary64_23057 cos-neg_binary64_23056 sin-neg_binary64_23055 tan-0_binary64_23054 cos-0_binary64_23053 sin-0_binary64_23052 hang-m-tan_binary64_23051 hang-p-tan_binary64_23050 hang-m0-tan_binary64_23049 hang-p0-tan_binary64_23048 hang-0m-tan_binary64_23047 hang-0p-tan_binary64_23046 tan-+PI/2_binary64_23045 tan-+PI_binary64_23044 tan-PI_binary64_23043 tan-PI/3_binary64_23042 tan-PI/4_binary64_23041 tan-PI/6_binary64_23040 cos-+PI/2_binary64_23039 cos-+PI_binary64_23038 cos-PI_binary64_23037 cos-PI/2_binary64_23036 cos-PI/3_binary64_23035 cos-PI/4_binary64_23034 cos-PI/6_binary64_23033 sin-+PI/2_binary64_23032 sin-+PI_binary64_23031 sin-PI_binary64_23030 sin-PI/2_binary64_23029 sin-PI/3_binary64_23028 sin-PI/4_binary64_23027 sin-PI/6_binary64_23026 sub-1-sin_binary64_23025 sub-1-cos_binary64_23024 -1-add-sin_binary64_23023 -1-add-cos_binary64_23022 1-sub-sin_binary64_23021 1-sub-cos_binary64_23020 cos-sin-sum_binary64_23019 log-E_binary64_23015 log-pow_binary64_23014 log-rec_binary64_23013 pow-base-0_binary64_23009 unpow1/3_binary64_22992 exp-to-pow_binary64_22987 pow-base-1_binary64_22985 unpow0_binary64_22984 unpow-1_binary64_22982 exp-lft-cube_binary64_22981 exp-lft-sqr_binary64_22980 exp-sqrt_binary64_22978 div-exp_binary64_22976 rec-exp_binary64_22975 exp-diff_binary64_22973 exp-neg_binary64_22972 e-exp-1_binary64_22970 exp-1-e_binary64_22968 exp-0_binary64_22967 rem-log-exp_binary64_22966 rem-exp-log_binary64_22965 cube-neg_binary64_22952 rem-3cbrt-rft_binary64_22951 rem-3cbrt-lft_binary64_22950 rem-cbrt-cube_binary64_22949 rem-cube-cbrt_binary64_22948 sqr-abs_binary64_22940 sqr-neg_binary64_22939 remove-double-neg_binary64_22913 sub0-neg_binary64_22912 --rgt-identity_binary64_22911 +-rgt-identity_binary64_22910 +-lft-identity_binary64_22909 mul0-rgt_binary64_22908 mul0-lft_binary64_22907 div0_binary64_22906 *-inverses_binary64_22905 +-inverses_binary64_22904 lft-mult-inverse_binary64_22903 rgt-mult-inverse_binary64_22902 remove-double-div_binary64_22901 difference-of-sqr--1_binary64_22896 difference-of-sqr-1_binary64_22895 swap-sqr_binary64_22892 cancel-sign-sub_binary64_22890 distribute-frac-neg_binary64_22888 distribute-neg-out_binary64_22887 distribute-rgt1-in_binary64_22881 distribute-lft1-in_binary64_22880 associate--r-_binary64_22864 associate--l-_binary64_22863
Counts
143 → 130
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02253370
15603155
218613099
349933099
449973099
549983099
649993099
749693099

prune138.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1264130
Fresh000
Picked011
Done000
Total1265131
Error
0.6b
Counts
131 → 5
Compiler

Compiled 2553 to 845 computations (66.9% saved)

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

0.3b
(*.f64 z (sqrt.f64 1/3))

rewrite26.0ms (0.3%)

Algorithm
rewrite-expression-head
Error
0.5b
Rules
add-sqr-sqrt_binary64_22947
associate-*r*_binary64_22865
add-cube-cbrt_binary64_22960 *-un-lft-identity_binary64_22925 sqrt-prod_binary64_22941
pow1_binary64_22986 add-exp-log_binary64_22963 add-cbrt-cube_binary64_22961 associate-*l*_binary64_22866
unswap-sqr_binary64_22893
pow-prod-down_binary64_22996 prod-exp_binary64_22974 add-log-exp_binary64_22964 cbrt-unprod_binary64_22958 *-commutative_binary64_22856
Counts
1 → 22
Calls

1 calls:

5.0ms
(*.f64 z (sqrt.f64 1/3))
Compiler

Compiled 206 to 168 computations (18.4% saved)

series50.0ms (0.5%)

Error
0.6b
Counts
1 → 3
Calls

1 calls:

46.0ms
(*.f64 z (sqrt.f64 1/3))
Compiler

Compiled 36 to 48 computations (-33.3% saved)

simplify79.0ms (0.8%)

Algorithm
egg-herbie
Rules
832×unswap-sqr_binary64_22893
332×associate-*l*_binary64_22866
263×log-div_binary64_23012
261×*-commutative_binary64_22856
224×associate-*r*_binary64_22865
209×cube-div_binary64_22954
192×associate-+l+_binary64_22858
166×associate-*l/_binary64_22868 associate-*r/_binary64_22867
164×log-prod_binary64_23011
126×sqr-pow_binary64_22897
110×unpow3_binary64_22991
106×associate-/l/_binary64_22872
99×associate-/l*_binary64_22870
78×associate-+l-_binary64_22860
77×cube-prod_binary64_22953
76×exp-prod_binary64_22977
72×associate-+r+_binary64_22857
71×associate-+r-_binary64_22859
65×associate-/r/_binary64_22871
61×cube-mult_binary64_22955
46×pow-sqr_binary64_22898
41×pow-plus_binary64_22988 associate-/r*_binary64_22869
37×cube-unmult_binary64_22962
29×distribute-lft-out_binary64_22876
28×swap-sqr_binary64_22892
25×log-rec_binary64_23013
24×*-lft-identity_binary64_22914
22×*-rgt-identity_binary64_22915 distribute-rgt-out_binary64_22878
19×exp-sqrt_binary64_22978
18×distribute-rgt-in_binary64_22875
16×rem-sqrt-square_binary64_22938
15×times-frac_binary64_22931
13×exp-lft-sqr_binary64_22980 prod-exp_binary64_22974
12×distribute-lft-in_binary64_22874
11×+-commutative_binary64_22855
distribute-rgt1-in_binary64_22881
associate--l+_binary64_22862
unpow2_binary64_22990
distribute-lft1-in_binary64_22880
sub-neg_binary64_22918
unpow1/2_binary64_22989 associate--l-_binary64_22863
count-2_binary64_22873
unpow1_binary64_22983 1-exp_binary64_22969 exp-1-e_binary64_22968 rem-square-sqrt_binary64_22937 /-rgt-identity_binary64_22916
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_23188 erf-erfc_binary64_23187 erf-odd_binary64_23186 if-if-and-not_binary64_23185 if-if-and_binary64_23184 if-if-or-not_binary64_23183 if-if-or_binary64_23182 if-not_binary64_23181 if-same_binary64_23180 if-false_binary64_23179 if-true_binary64_23178 not-gte_binary64_23177 not-lte_binary64_23176 not-gt_binary64_23175 not-lt_binary64_23174 gte-same_binary64_23173 lte-same_binary64_23172 gt-same_binary64_23171 lt-same_binary64_23170 sinh---cosh_binary64_23117 sinh-+-cosh_binary64_23116 sinh-cosh_binary64_23115 tanh-def-c_binary64_23114 tanh-def-b_binary64_23113 tanh-def-a_binary64_23112 cosh-def_binary64_23111 sinh-def_binary64_23110 tan-neg_binary64_23057 cos-neg_binary64_23056 sin-neg_binary64_23055 tan-0_binary64_23054 cos-0_binary64_23053 sin-0_binary64_23052 hang-m-tan_binary64_23051 hang-p-tan_binary64_23050 hang-m0-tan_binary64_23049 hang-p0-tan_binary64_23048 hang-0m-tan_binary64_23047 hang-0p-tan_binary64_23046 tan-+PI/2_binary64_23045 tan-+PI_binary64_23044 tan-PI_binary64_23043 tan-PI/3_binary64_23042 tan-PI/4_binary64_23041 tan-PI/6_binary64_23040 cos-+PI/2_binary64_23039 cos-+PI_binary64_23038 cos-PI_binary64_23037 cos-PI/2_binary64_23036 cos-PI/3_binary64_23035 cos-PI/4_binary64_23034 cos-PI/6_binary64_23033 sin-+PI/2_binary64_23032 sin-+PI_binary64_23031 sin-PI_binary64_23030 sin-PI/2_binary64_23029 sin-PI/3_binary64_23028 sin-PI/4_binary64_23027 sin-PI/6_binary64_23026 sub-1-sin_binary64_23025 sub-1-cos_binary64_23024 -1-add-sin_binary64_23023 -1-add-cos_binary64_23022 1-sub-sin_binary64_23021 1-sub-cos_binary64_23020 cos-sin-sum_binary64_23019 log-E_binary64_23015 log-pow_binary64_23014 pow-base-0_binary64_23009 unpow1/3_binary64_22992 exp-to-pow_binary64_22987 pow-base-1_binary64_22985 unpow0_binary64_22984 unpow-1_binary64_22982 exp-lft-cube_binary64_22981 exp-cbrt_binary64_22979 div-exp_binary64_22976 rec-exp_binary64_22975 exp-diff_binary64_22973 exp-neg_binary64_22972 exp-sum_binary64_22971 e-exp-1_binary64_22970 exp-0_binary64_22967 rem-log-exp_binary64_22966 rem-exp-log_binary64_22965 cube-neg_binary64_22952 rem-3cbrt-rft_binary64_22951 rem-3cbrt-lft_binary64_22950 rem-cbrt-cube_binary64_22949 rem-cube-cbrt_binary64_22948 sqr-abs_binary64_22940 sqr-neg_binary64_22939 div-sub_binary64_22930 neg-mul-1_binary64_22921 neg-sub0_binary64_22920 unsub-neg_binary64_22919 mul-1-neg_binary64_22917 remove-double-neg_binary64_22913 sub0-neg_binary64_22912 --rgt-identity_binary64_22911 +-rgt-identity_binary64_22910 +-lft-identity_binary64_22909 mul0-rgt_binary64_22908 mul0-lft_binary64_22907 div0_binary64_22906 *-inverses_binary64_22905 +-inverses_binary64_22904 lft-mult-inverse_binary64_22903 rgt-mult-inverse_binary64_22902 remove-double-div_binary64_22901 difference-of-sqr--1_binary64_22896 difference-of-sqr-1_binary64_22895 difference-of-squares_binary64_22894 cancel-sign-sub-inv_binary64_22891 cancel-sign-sub_binary64_22890 distribute-neg-frac_binary64_22889 distribute-frac-neg_binary64_22888 distribute-neg-out_binary64_22887 distribute-neg-in_binary64_22886 distribute-rgt-neg-out_binary64_22885 distribute-lft-neg-out_binary64_22884 distribute-rgt-neg-in_binary64_22883 distribute-lft-neg-in_binary64_22882 distribute-rgt-out--_binary64_22879 distribute-lft-out--_binary64_22877 associate--r-_binary64_22864 associate--r+_binary64_22861
Counts
25 → 14
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038223
168211
2167211
3211211
4312211
5544211
61153211
72368211
84452211
94871211
104909211

prune20.0ms (0.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New9514
Fresh033
Picked011
Done011
Total91019
Error
0.5b
Counts
19 → 10
Compiler

Compiled 205 to 181 computations (11.7% saved)

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b
(sqrt.f64 (*.f64 (sqrt.f64 1/3) z))
0.3b
(*.f64 (sqrt.f64 1/3) z)
0.3b
(*.f64 (sqrt.f64 1/3) z)
0.4b
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/3) z)) (sqrt.f64 (*.f64 (sqrt.f64 1/3) z)))

rewrite165.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0.5b
Rules
60×pow1_binary64_22986
30×sqrt-pow1_binary64_22943
24×add-sqr-sqrt_binary64_22947
23×pow-prod-down_binary64_22996
16×associate-*l*_binary64_22866
14×add-cube-cbrt_binary64_22960 *-un-lft-identity_binary64_22925
13×sqrt-prod_binary64_22941
11×pow1/2_binary64_23005
10×pow-prod-up_binary64_22995 add-exp-log_binary64_22963 add-cbrt-cube_binary64_22961 associate-*r*_binary64_22865
pow-sqr_binary64_22898
unswap-sqr_binary64_22893
add-log-exp_binary64_22964 swap-sqr_binary64_22892
prod-exp_binary64_22974 cbrt-unprod_binary64_22958 *-commutative_binary64_22856
pow2_binary64_23006 pow-plus_binary64_22988 sqrt-unprod_binary64_22945 rem-square-sqrt_binary64_22937
Counts
4 → 104
Calls

4 calls:

11.0ms
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/3) z)) (sqrt.f64 (*.f64 (sqrt.f64 1/3) z)))
6.0ms
(*.f64 (sqrt.f64 1/3) z)
5.0ms
(*.f64 (sqrt.f64 1/3) z)
3.0ms
(sqrt.f64 (*.f64 (sqrt.f64 1/3) z))
Compiler

Compiled 1636 to 1368 computations (16.4% saved)

series183.0ms (1.9%)

Error
0.5b
Counts
4 → 12
Calls

4 calls:

48.0ms
(*.f64 (sqrt.f64 1/3) z)
47.0ms
(*.f64 (sqrt.f64 1/3) z)
45.0ms
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/3) z)) (sqrt.f64 (*.f64 (sqrt.f64 1/3) z)))
32.0ms
(sqrt.f64 (*.f64 (sqrt.f64 1/3) z))
Compiler

Compiled 390 to 400 computations (-2.6% saved)

simplify79.0ms (0.8%)

Algorithm
egg-herbie
Rules
536×associate-*r/_binary64_22867
436×associate-*l/_binary64_22868
373×unswap-sqr_binary64_22893
288×sqr-pow_binary64_22897
261×associate-/l*_binary64_22870
234×associate-/l/_binary64_22872
188×associate-/r/_binary64_22871
184×distribute-rgt-in_binary64_22875
180×*-commutative_binary64_22856
163×distribute-lft-in_binary64_22874
111×pow-sqr_binary64_22898
99×log-prod_binary64_23011
98×associate-*l*_binary64_22866
95×exp-prod_binary64_22977
88×associate-*r*_binary64_22865
84×associate-/r*_binary64_22869
68×cube-prod_binary64_22953
63×associate-+l+_binary64_22858
56×distribute-lft-out_binary64_22876 associate-+r+_binary64_22857
55×+-commutative_binary64_22855
48×swap-sqr_binary64_22892
37×rem-sqrt-square_binary64_22938
29×times-frac_binary64_22931
20×unpow3_binary64_22991 distribute-rgt-out_binary64_22878
19×*-lft-identity_binary64_22914
18×*-rgt-identity_binary64_22915
17×pow-plus_binary64_22988 count-2_binary64_22873
15×cube-mult_binary64_22955
14×log-pow_binary64_23014
13×unpow1/2_binary64_22989
11×log-div_binary64_23012 cube-div_binary64_22954
cube-unmult_binary64_22962
unpow2_binary64_22990
unpow1_binary64_22983 rem-square-sqrt_binary64_22937
exp-sqrt_binary64_22978 distribute-rgt1-in_binary64_22881
exp-lft-sqr_binary64_22980 1-exp_binary64_22969 exp-1-e_binary64_22968 rem-3cbrt-rft_binary64_22951 rem-3cbrt-lft_binary64_22950 rem-cbrt-cube_binary64_22949 /-rgt-identity_binary64_22916 distribute-lft1-in_binary64_22880
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_23188 erf-erfc_binary64_23187 erf-odd_binary64_23186 if-if-and-not_binary64_23185 if-if-and_binary64_23184 if-if-or-not_binary64_23183 if-if-or_binary64_23182 if-not_binary64_23181 if-same_binary64_23180 if-false_binary64_23179 if-true_binary64_23178 not-gte_binary64_23177 not-lte_binary64_23176 not-gt_binary64_23175 not-lt_binary64_23174 gte-same_binary64_23173 lte-same_binary64_23172 gt-same_binary64_23171 lt-same_binary64_23170 sinh---cosh_binary64_23117 sinh-+-cosh_binary64_23116 sinh-cosh_binary64_23115 tanh-def-c_binary64_23114 tanh-def-b_binary64_23113 tanh-def-a_binary64_23112 cosh-def_binary64_23111 sinh-def_binary64_23110 tan-neg_binary64_23057 cos-neg_binary64_23056 sin-neg_binary64_23055 tan-0_binary64_23054 cos-0_binary64_23053 sin-0_binary64_23052 hang-m-tan_binary64_23051 hang-p-tan_binary64_23050 hang-m0-tan_binary64_23049 hang-p0-tan_binary64_23048 hang-0m-tan_binary64_23047 hang-0p-tan_binary64_23046 tan-+PI/2_binary64_23045 tan-+PI_binary64_23044 tan-PI_binary64_23043 tan-PI/3_binary64_23042 tan-PI/4_binary64_23041 tan-PI/6_binary64_23040 cos-+PI/2_binary64_23039 cos-+PI_binary64_23038 cos-PI_binary64_23037 cos-PI/2_binary64_23036 cos-PI/3_binary64_23035 cos-PI/4_binary64_23034 cos-PI/6_binary64_23033 sin-+PI/2_binary64_23032 sin-+PI_binary64_23031 sin-PI_binary64_23030 sin-PI/2_binary64_23029 sin-PI/3_binary64_23028 sin-PI/4_binary64_23027 sin-PI/6_binary64_23026 sub-1-sin_binary64_23025 sub-1-cos_binary64_23024 -1-add-sin_binary64_23023 -1-add-cos_binary64_23022 1-sub-sin_binary64_23021 1-sub-cos_binary64_23020 cos-sin-sum_binary64_23019 log-E_binary64_23015 log-rec_binary64_23013 pow-base-0_binary64_23009 unpow1/3_binary64_22992 exp-to-pow_binary64_22987 pow-base-1_binary64_22985 unpow0_binary64_22984 unpow-1_binary64_22982 exp-lft-cube_binary64_22981 exp-cbrt_binary64_22979 div-exp_binary64_22976 rec-exp_binary64_22975 prod-exp_binary64_22974 exp-diff_binary64_22973 exp-neg_binary64_22972 exp-sum_binary64_22971 e-exp-1_binary64_22970 exp-0_binary64_22967 rem-log-exp_binary64_22966 rem-exp-log_binary64_22965 cube-neg_binary64_22952 rem-cube-cbrt_binary64_22948 sqr-abs_binary64_22940 sqr-neg_binary64_22939 div-sub_binary64_22930 neg-mul-1_binary64_22921 neg-sub0_binary64_22920 unsub-neg_binary64_22919 sub-neg_binary64_22918 mul-1-neg_binary64_22917 remove-double-neg_binary64_22913 sub0-neg_binary64_22912 --rgt-identity_binary64_22911 +-rgt-identity_binary64_22910 +-lft-identity_binary64_22909 mul0-rgt_binary64_22908 mul0-lft_binary64_22907 div0_binary64_22906 *-inverses_binary64_22905 +-inverses_binary64_22904 lft-mult-inverse_binary64_22903 rgt-mult-inverse_binary64_22902 remove-double-div_binary64_22901 difference-of-sqr--1_binary64_22896 difference-of-sqr-1_binary64_22895 difference-of-squares_binary64_22894 cancel-sign-sub-inv_binary64_22891 cancel-sign-sub_binary64_22890 distribute-neg-frac_binary64_22889 distribute-frac-neg_binary64_22888 distribute-neg-out_binary64_22887 distribute-neg-in_binary64_22886 distribute-rgt-neg-out_binary64_22885 distribute-lft-neg-out_binary64_22884 distribute-rgt-neg-in_binary64_22883 distribute-lft-neg-in_binary64_22882 distribute-rgt-out--_binary64_22879 distribute-lft-out--_binary64_22877 associate--r-_binary64_22864 associate--l-_binary64_22863 associate--l+_binary64_22862 associate--r+_binary64_22861 associate-+l-_binary64_22860 associate-+r-_binary64_22859
Counts
116 → 69
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
077946
1130891
2424884
3706872
41536847
52147847
65151847

prune77.0ms (0.8%)

Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New65469
Fresh077
Picked011
Done112
Total661379
Error
0.5b
Counts
79 → 13
Compiler

Compiled 887 to 768 computations (13.4% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b
(sqrt.f64 (*.f64 (sqrt.f64 1/3) z))
0.3b
(*.f64 (sqrt.f64 (sqrt.f64 1/3)) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/3) z)) (sqrt.f64 z)))
0.3b
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/3) z)) (sqrt.f64 z))
0.3b
(*.f64 (sqrt.f64 1/3) z)

rewrite157.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
0.5b
Rules
28×pow1_binary64_22986
21×add-sqr-sqrt_binary64_22947
19×sqrt-prod_binary64_22941 associate-*l*_binary64_22866
17×pow-prod-down_binary64_22996
13×add-exp-log_binary64_22963 add-cbrt-cube_binary64_22961 add-cube-cbrt_binary64_22960 *-un-lft-identity_binary64_22925
12×sqrt-pow1_binary64_22943
10×associate-*r*_binary64_22865
pow1/2_binary64_23005
prod-exp_binary64_22974 cbrt-unprod_binary64_22958
add-log-exp_binary64_22964 unswap-sqr_binary64_22893
*-commutative_binary64_22856 sqrt-unprod_binary64_22945
Counts
4 → 88
Calls

4 calls:

13.0ms
(*.f64 (sqrt.f64 (sqrt.f64 1/3)) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/3) z)) (sqrt.f64 z)))
8.0ms
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/3) z)) (sqrt.f64 z))
6.0ms
(*.f64 (sqrt.f64 1/3) z)
3.0ms
(sqrt.f64 (*.f64 (sqrt.f64 1/3) z))
Compiler

Compiled 1596 to 1234 computations (22.7% saved)

series229.0ms (2.3%)

Error
0.5b
Counts
4 → 12
Calls

4 calls:

71.0ms
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/3) z)) (sqrt.f64 z))
68.0ms
(*.f64 (sqrt.f64 (sqrt.f64 1/3)) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/3) z)) (sqrt.f64 z)))
48.0ms
(*.f64 (sqrt.f64 1/3) z)
32.0ms
(sqrt.f64 (*.f64 (sqrt.f64 1/3) z))
Compiler

Compiled 427 to 437 computations (-2.3% saved)

simplify118.0ms (1.2%)

Algorithm
egg-herbie
Rules
490×times-frac_binary64_22931
454×unswap-sqr_binary64_22893
352×*-commutative_binary64_22856
297×associate-*r/_binary64_22867
254×sqr-pow_binary64_22897
228×associate-*l/_binary64_22868
216×associate-+l+_binary64_22858
192×associate-*l*_binary64_22866
171×associate-*r*_binary64_22865
159×associate-/l/_binary64_22872
147×associate-/l*_binary64_22870
118×log-div_binary64_23012 cube-div_binary64_22954
106×associate-+r+_binary64_22857
105×pow-sqr_binary64_22898
96×associate-/r/_binary64_22871
85×log-prod_binary64_23011
82×+-commutative_binary64_22855
79×exp-prod_binary64_22977
68×cube-prod_binary64_22953
57×rem-sqrt-square_binary64_22938
40×distribute-rgt-in_binary64_22875
37×associate-/r*_binary64_22869
29×distribute-lft-in_binary64_22874
24×exp-sqrt_binary64_22978
17×*-rgt-identity_binary64_22915 swap-sqr_binary64_22892
16×*-lft-identity_binary64_22914 distribute-lft-out_binary64_22876
14×unpow3_binary64_22991
13×cube-mult_binary64_22955 distribute-rgt-out_binary64_22878
12×unpow1/2_binary64_22989
cube-unmult_binary64_22962
count-2_binary64_22873
pow-plus_binary64_22988
exp-lft-sqr_binary64_22980 rem-square-sqrt_binary64_22937
unpow2_binary64_22990 unpow1_binary64_22983 distribute-rgt1-in_binary64_22881
log-pow_binary64_23014 log-rec_binary64_23013 /-rgt-identity_binary64_22916 distribute-lft1-in_binary64_22880
prod-exp_binary64_22974 1-exp_binary64_22969 exp-1-e_binary64_22968
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_23188 erf-erfc_binary64_23187 erf-odd_binary64_23186 if-if-and-not_binary64_23185 if-if-and_binary64_23184 if-if-or-not_binary64_23183 if-if-or_binary64_23182 if-not_binary64_23181 if-same_binary64_23180 if-false_binary64_23179 if-true_binary64_23178 not-gte_binary64_23177 not-lte_binary64_23176 not-gt_binary64_23175 not-lt_binary64_23174 gte-same_binary64_23173 lte-same_binary64_23172 gt-same_binary64_23171 lt-same_binary64_23170 sinh---cosh_binary64_23117 sinh-+-cosh_binary64_23116 sinh-cosh_binary64_23115 tanh-def-c_binary64_23114 tanh-def-b_binary64_23113 tanh-def-a_binary64_23112 cosh-def_binary64_23111 sinh-def_binary64_23110 tan-neg_binary64_23057 cos-neg_binary64_23056 sin-neg_binary64_23055 tan-0_binary64_23054 cos-0_binary64_23053 sin-0_binary64_23052 hang-m-tan_binary64_23051 hang-p-tan_binary64_23050 hang-m0-tan_binary64_23049 hang-p0-tan_binary64_23048 hang-0m-tan_binary64_23047 hang-0p-tan_binary64_23046 tan-+PI/2_binary64_23045 tan-+PI_binary64_23044 tan-PI_binary64_23043 tan-PI/3_binary64_23042 tan-PI/4_binary64_23041 tan-PI/6_binary64_23040 cos-+PI/2_binary64_23039 cos-+PI_binary64_23038 cos-PI_binary64_23037 cos-PI/2_binary64_23036 cos-PI/3_binary64_23035 cos-PI/4_binary64_23034 cos-PI/6_binary64_23033 sin-+PI/2_binary64_23032 sin-+PI_binary64_23031 sin-PI_binary64_23030 sin-PI/2_binary64_23029 sin-PI/3_binary64_23028 sin-PI/4_binary64_23027 sin-PI/6_binary64_23026 sub-1-sin_binary64_23025 sub-1-cos_binary64_23024 -1-add-sin_binary64_23023 -1-add-cos_binary64_23022 1-sub-sin_binary64_23021 1-sub-cos_binary64_23020 cos-sin-sum_binary64_23019 log-E_binary64_23015 pow-base-0_binary64_23009 unpow1/3_binary64_22992 exp-to-pow_binary64_22987 pow-base-1_binary64_22985 unpow0_binary64_22984 unpow-1_binary64_22982 exp-lft-cube_binary64_22981 exp-cbrt_binary64_22979 div-exp_binary64_22976 rec-exp_binary64_22975 exp-diff_binary64_22973 exp-neg_binary64_22972 exp-sum_binary64_22971 e-exp-1_binary64_22970 exp-0_binary64_22967 rem-log-exp_binary64_22966 rem-exp-log_binary64_22965 cube-neg_binary64_22952 rem-3cbrt-rft_binary64_22951 rem-3cbrt-lft_binary64_22950 rem-cbrt-cube_binary64_22949 rem-cube-cbrt_binary64_22948 sqr-abs_binary64_22940 sqr-neg_binary64_22939 div-sub_binary64_22930 neg-mul-1_binary64_22921 neg-sub0_binary64_22920 unsub-neg_binary64_22919 sub-neg_binary64_22918 mul-1-neg_binary64_22917 remove-double-neg_binary64_22913 sub0-neg_binary64_22912 --rgt-identity_binary64_22911 +-rgt-identity_binary64_22910 +-lft-identity_binary64_22909 mul0-rgt_binary64_22908 mul0-lft_binary64_22907 div0_binary64_22906 *-inverses_binary64_22905 +-inverses_binary64_22904 lft-mult-inverse_binary64_22903 rgt-mult-inverse_binary64_22902 remove-double-div_binary64_22901 difference-of-sqr--1_binary64_22896 difference-of-sqr-1_binary64_22895 difference-of-squares_binary64_22894 cancel-sign-sub-inv_binary64_22891 cancel-sign-sub_binary64_22890 distribute-neg-frac_binary64_22889 distribute-frac-neg_binary64_22888 distribute-neg-out_binary64_22887 distribute-neg-in_binary64_22886 distribute-rgt-neg-out_binary64_22885 distribute-lft-neg-out_binary64_22884 distribute-rgt-neg-in_binary64_22883 distribute-lft-neg-in_binary64_22882 distribute-rgt-out--_binary64_22879 distribute-lft-out--_binary64_22877 associate--r-_binary64_22864 associate--l-_binary64_22863 associate--l+_binary64_22862 associate--r+_binary64_22861 associate-+l-_binary64_22860 associate-+r-_binary64_22859
Counts
100 → 47
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01061379
12161328
27541328
311031328
415261328
523701328
639281328
751921328

prune55.0ms (0.6%)

Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New43447
Fresh2810
Picked101
Done022
Total461460
Error
0.5b
Counts
60 → 14
Compiler

Compiled 674 to 544 computations (19.3% saved)

regimes3.4s (35.1%)

Accuracy

Total 12.1b remaining (95.5%)

Threshold costs 0b (0%)

Compiler

Compiled 21698 to 18199 computations (16.1% saved)

bsearch4.0ms (0%)

Compiler

Compiled 3 to 4 computations (-33.3% saved)

simplify28.0ms (0.3%)

Algorithm
egg-herbie
Rules
*-commutative_binary64_22856
+-commutative_binary64_22855
neg-sub0_binary64_22920 sub-neg_binary64_22918
neg-mul-1_binary64_22921 distribute-rgt-neg-in_binary64_22883 distribute-lft-neg-in_binary64_22882
1-exp_binary64_22969 mul-1-neg_binary64_22917 /-rgt-identity_binary64_22916
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_23185 if-if-and_binary64_23184 if-if-or-not_binary64_23183 if-if-or_binary64_23182 if-not_binary64_23181 if-same_binary64_23180 if-false_binary64_23179 if-true_binary64_23178 tan-0_binary64_23054 cos-0_binary64_23053 sin-0_binary64_23052 unpow1_binary64_22983 e-exp-1_binary64_22970 exp-1-e_binary64_22968 exp-0_binary64_22967 sqr-abs_binary64_22940 sqr-neg_binary64_22939 unsub-neg_binary64_22919 *-rgt-identity_binary64_22915 *-lft-identity_binary64_22914 remove-double-neg_binary64_22913 sub0-neg_binary64_22912 --rgt-identity_binary64_22911 +-rgt-identity_binary64_22910 +-lft-identity_binary64_22909 cancel-sign-sub-inv_binary64_22891 cancel-sign-sub_binary64_22890 distribute-neg-frac_binary64_22889 distribute-frac-neg_binary64_22888 distribute-neg-out_binary64_22887 distribute-neg-in_binary64_22886 distribute-rgt-neg-out_binary64_22885 distribute-lft-neg-out_binary64_22884
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045157
156157
263157
368157
473157
575157
674157
Compiler

Compiled 200 to 118 computations (41% saved)

end0.0ms (0%)

sample2.9s (30.1%)

Algorithm
intervals
Results
385.0ms8000×body128valid
Compiler

Compiled 1854 to 1566 computations (15.5% saved)

Profiling

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