Details

Time bar (total: 1.9s)

analyze360.0ms (18.5%)

Algorithm
search
egg-herbie
Rules
1665×associate-+r+_binary64_3761
1470×associate--r-_binary64_3768
316×unsub-neg_binary64_3823
220×distribute-rgt-in_binary64_3779
210×sub-neg_binary64_3822 associate-+l+_binary64_3762
206×associate--r+_binary64_3765
169×associate-*r*_binary64_3769 associate-+l-_binary64_3764
168×distribute-rgt-out--_binary64_3783
167×*-commutative_binary64_3760
153×+-commutative_binary64_3759
113×associate-+r-_binary64_3763
108×associate--l+_binary64_3766
106×cancel-sign-sub-inv_binary64_3795
94×associate--l-_binary64_3767
93×neg-sub0_binary64_3824
80×distribute-lft-in_binary64_3778
79×distribute-neg-in_binary64_3790
75×distribute-neg-out_binary64_3791
63×neg-mul-1_binary64_3825
61×distribute-rgt1-in_binary64_3785
58×distribute-rgt-neg-out_binary64_3789
42×distribute-rgt-neg-in_binary64_3787
40×distribute-lft-neg-out_binary64_3788
36×distribute-lft-neg-in_binary64_3786
26×mul0-lft_binary64_3811
25×associate-*l*_binary64_3770
23×distribute-lft1-in_binary64_3784
20×distribute-rgt-out_binary64_3782
13×+-rgt-identity_binary64_3814
11×sub0-neg_binary64_3816
10×remove-double-neg_binary64_3817
mul0-rgt_binary64_3812 +-inverses_binary64_3808 swap-sqr_binary64_3796 distribute-lft-out--_binary64_3781
sqr-neg_binary64_3843
*-rgt-identity_binary64_3819 *-lft-identity_binary64_3818
distribute-lft-out_binary64_3780
+-lft-identity_binary64_3813 difference-of-squares_binary64_3798 cancel-sign-sub_binary64_3794
1-exp_binary64_3873
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_4092 erf-erfc_binary64_4091 erf-odd_binary64_4090 if-if-and-not_binary64_4089 if-if-and_binary64_4088 if-if-or-not_binary64_4087 if-if-or_binary64_4086 if-not_binary64_4085 if-same_binary64_4084 if-false_binary64_4083 if-true_binary64_4082 not-gte_binary64_4081 not-lte_binary64_4080 not-gt_binary64_4079 not-lt_binary64_4078 gte-same_binary64_4077 lte-same_binary64_4076 gt-same_binary64_4075 lt-same_binary64_4074 sinh---cosh_binary64_4021 sinh-+-cosh_binary64_4020 sinh-cosh_binary64_4019 tanh-def-c_binary64_4018 tanh-def-b_binary64_4017 tanh-def-a_binary64_4016 cosh-def_binary64_4015 sinh-def_binary64_4014 tan-neg_binary64_3961 cos-neg_binary64_3960 sin-neg_binary64_3959 tan-0_binary64_3958 cos-0_binary64_3957 sin-0_binary64_3956 hang-m-tan_binary64_3955 hang-p-tan_binary64_3954 hang-m0-tan_binary64_3953 hang-p0-tan_binary64_3952 hang-0m-tan_binary64_3951 hang-0p-tan_binary64_3950 tan-+PI/2_binary64_3949 tan-+PI_binary64_3948 tan-PI_binary64_3947 tan-PI/3_binary64_3946 tan-PI/4_binary64_3945 tan-PI/6_binary64_3944 cos-+PI/2_binary64_3943 cos-+PI_binary64_3942 cos-PI_binary64_3941 cos-PI/2_binary64_3940 cos-PI/3_binary64_3939 cos-PI/4_binary64_3938 cos-PI/6_binary64_3937 sin-+PI/2_binary64_3936 sin-+PI_binary64_3935 sin-PI_binary64_3934 sin-PI/2_binary64_3933 sin-PI/3_binary64_3932 sin-PI/4_binary64_3931 sin-PI/6_binary64_3930 sub-1-sin_binary64_3929 sub-1-cos_binary64_3928 -1-add-sin_binary64_3927 -1-add-cos_binary64_3926 1-sub-sin_binary64_3925 1-sub-cos_binary64_3924 cos-sin-sum_binary64_3923 log-E_binary64_3919 log-pow_binary64_3918 log-rec_binary64_3917 log-div_binary64_3916 log-prod_binary64_3915 pow-base-0_binary64_3913 unpow1/3_binary64_3896 unpow3_binary64_3895 unpow2_binary64_3894 unpow1/2_binary64_3893 pow-plus_binary64_3892 exp-to-pow_binary64_3891 pow-base-1_binary64_3889 unpow0_binary64_3888 unpow1_binary64_3887 unpow-1_binary64_3886 exp-lft-cube_binary64_3885 exp-lft-sqr_binary64_3884 exp-cbrt_binary64_3883 exp-sqrt_binary64_3882 exp-prod_binary64_3881 div-exp_binary64_3880 rec-exp_binary64_3879 prod-exp_binary64_3878 exp-diff_binary64_3877 exp-neg_binary64_3876 exp-sum_binary64_3875 e-exp-1_binary64_3874 exp-1-e_binary64_3872 exp-0_binary64_3871 rem-log-exp_binary64_3870 rem-exp-log_binary64_3869 cube-unmult_binary64_3866 cube-mult_binary64_3859 cube-div_binary64_3858 cube-prod_binary64_3857 cube-neg_binary64_3856 rem-3cbrt-rft_binary64_3855 rem-3cbrt-lft_binary64_3854 rem-cbrt-cube_binary64_3853 rem-cube-cbrt_binary64_3852 sqr-abs_binary64_3844 rem-sqrt-square_binary64_3842 rem-square-sqrt_binary64_3841 times-frac_binary64_3835 div-sub_binary64_3834 mul-1-neg_binary64_3821 /-rgt-identity_binary64_3820 --rgt-identity_binary64_3815 div0_binary64_3810 *-inverses_binary64_3809 lft-mult-inverse_binary64_3807 rgt-mult-inverse_binary64_3806 remove-double-div_binary64_3805 pow-sqr_binary64_3802 sqr-pow_binary64_3801 difference-of-sqr--1_binary64_3800 difference-of-sqr-1_binary64_3799 unswap-sqr_binary64_3797 distribute-neg-frac_binary64_3793 distribute-frac-neg_binary64_3792 count-2_binary64_3777 associate-/l/_binary64_3776 associate-/r/_binary64_3775 associate-/l*_binary64_3774 associate-/r*_binary64_3773 associate-*l/_binary64_3772 associate-*r/_binary64_3771
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
11520
25120
310820
421120
542120
666020
756920
8139320
9121920
10137120
11140920
12144720
13144720
14144720
15144920
16300320
17306020
18315520
19518620
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
0%99.9%0.1%4
25%74.9%0.1%5
25%62.4%12.6%6
25%50%25.1%7
31.2%37.5%31.3%8
39%24.2%36.8%9
42.9%18.3%38.7%10
47.2%11.9%40.9%11
49.4%9.1%41.6%12
51.6%5.9%42.5%13
52.7%4.5%42.8%14
Compiler

Compiled 8 to 6 computations (25% saved)

sample17.0ms (0.9%)

Algorithm
intervals
Results
9.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify107.0ms (5.5%)

Algorithm
egg-herbie
Rules
1870×associate--r-_binary64_3768
931×distribute-rgt-in_binary64_3779
817×distribute-lft-in_binary64_3778
224×unsub-neg_binary64_3823
223×sub-neg_binary64_3822
159×distribute-rgt-out--_binary64_3783
147×associate--r+_binary64_3765
143×associate-+l+_binary64_3762
136×associate-+r+_binary64_3761
133×associate-+l-_binary64_3764
128×+-commutative_binary64_3759
115×cancel-sign-sub-inv_binary64_3795
113×associate--l+_binary64_3766
92×*-commutative_binary64_3760
89×distribute-neg-out_binary64_3791
86×distribute-neg-in_binary64_3790
85×associate--l-_binary64_3767
74×associate-+r-_binary64_3763
67×neg-sub0_binary64_3824
63×associate-*r*_binary64_3769
41×distribute-rgt-neg-out_binary64_3789
40×associate-*l*_binary64_3770
32×distribute-lft-neg-out_binary64_3788
29×distribute-rgt-neg-in_binary64_3787 distribute-lft-neg-in_binary64_3786
28×neg-mul-1_binary64_3825
26×distribute-rgt-out_binary64_3782
25×sub0-neg_binary64_3816
10×distribute-lft-out--_binary64_3781
distribute-rgt1-in_binary64_3785 distribute-lft-out_binary64_3780
*-rgt-identity_binary64_3819 *-lft-identity_binary64_3818 mul0-rgt_binary64_3812 mul0-lft_binary64_3811 swap-sqr_binary64_3796
+-rgt-identity_binary64_3814
sqr-neg_binary64_3843 +-lft-identity_binary64_3813 +-inverses_binary64_3808
remove-double-neg_binary64_3817 --rgt-identity_binary64_3815 difference-of-squares_binary64_3798 distribute-lft1-in_binary64_3784
1-exp_binary64_3873 cancel-sign-sub_binary64_3794
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_4092 erf-erfc_binary64_4091 erf-odd_binary64_4090 if-if-and-not_binary64_4089 if-if-and_binary64_4088 if-if-or-not_binary64_4087 if-if-or_binary64_4086 if-not_binary64_4085 if-same_binary64_4084 if-false_binary64_4083 if-true_binary64_4082 not-gte_binary64_4081 not-lte_binary64_4080 not-gt_binary64_4079 not-lt_binary64_4078 gte-same_binary64_4077 lte-same_binary64_4076 gt-same_binary64_4075 lt-same_binary64_4074 sinh---cosh_binary64_4021 sinh-+-cosh_binary64_4020 sinh-cosh_binary64_4019 tanh-def-c_binary64_4018 tanh-def-b_binary64_4017 tanh-def-a_binary64_4016 cosh-def_binary64_4015 sinh-def_binary64_4014 tan-neg_binary64_3961 cos-neg_binary64_3960 sin-neg_binary64_3959 tan-0_binary64_3958 cos-0_binary64_3957 sin-0_binary64_3956 hang-m-tan_binary64_3955 hang-p-tan_binary64_3954 hang-m0-tan_binary64_3953 hang-p0-tan_binary64_3952 hang-0m-tan_binary64_3951 hang-0p-tan_binary64_3950 tan-+PI/2_binary64_3949 tan-+PI_binary64_3948 tan-PI_binary64_3947 tan-PI/3_binary64_3946 tan-PI/4_binary64_3945 tan-PI/6_binary64_3944 cos-+PI/2_binary64_3943 cos-+PI_binary64_3942 cos-PI_binary64_3941 cos-PI/2_binary64_3940 cos-PI/3_binary64_3939 cos-PI/4_binary64_3938 cos-PI/6_binary64_3937 sin-+PI/2_binary64_3936 sin-+PI_binary64_3935 sin-PI_binary64_3934 sin-PI/2_binary64_3933 sin-PI/3_binary64_3932 sin-PI/4_binary64_3931 sin-PI/6_binary64_3930 sub-1-sin_binary64_3929 sub-1-cos_binary64_3928 -1-add-sin_binary64_3927 -1-add-cos_binary64_3926 1-sub-sin_binary64_3925 1-sub-cos_binary64_3924 cos-sin-sum_binary64_3923 log-E_binary64_3919 log-pow_binary64_3918 log-rec_binary64_3917 log-div_binary64_3916 log-prod_binary64_3915 pow-base-0_binary64_3913 unpow1/3_binary64_3896 unpow3_binary64_3895 unpow2_binary64_3894 unpow1/2_binary64_3893 pow-plus_binary64_3892 exp-to-pow_binary64_3891 pow-base-1_binary64_3889 unpow0_binary64_3888 unpow1_binary64_3887 unpow-1_binary64_3886 exp-lft-cube_binary64_3885 exp-lft-sqr_binary64_3884 exp-cbrt_binary64_3883 exp-sqrt_binary64_3882 exp-prod_binary64_3881 div-exp_binary64_3880 rec-exp_binary64_3879 prod-exp_binary64_3878 exp-diff_binary64_3877 exp-neg_binary64_3876 exp-sum_binary64_3875 e-exp-1_binary64_3874 exp-1-e_binary64_3872 exp-0_binary64_3871 rem-log-exp_binary64_3870 rem-exp-log_binary64_3869 cube-unmult_binary64_3866 cube-mult_binary64_3859 cube-div_binary64_3858 cube-prod_binary64_3857 cube-neg_binary64_3856 rem-3cbrt-rft_binary64_3855 rem-3cbrt-lft_binary64_3854 rem-cbrt-cube_binary64_3853 rem-cube-cbrt_binary64_3852 sqr-abs_binary64_3844 rem-sqrt-square_binary64_3842 rem-square-sqrt_binary64_3841 times-frac_binary64_3835 div-sub_binary64_3834 mul-1-neg_binary64_3821 /-rgt-identity_binary64_3820 div0_binary64_3810 *-inverses_binary64_3809 lft-mult-inverse_binary64_3807 rgt-mult-inverse_binary64_3806 remove-double-div_binary64_3805 pow-sqr_binary64_3802 sqr-pow_binary64_3801 difference-of-sqr--1_binary64_3800 difference-of-sqr-1_binary64_3799 unswap-sqr_binary64_3797 distribute-neg-frac_binary64_3793 distribute-frac-neg_binary64_3792 count-2_binary64_3777 associate-/l/_binary64_3776 associate-/r/_binary64_3775 associate-/l*_binary64_3774 associate-/r*_binary64_3773 associate-*l/_binary64_3772 associate-*r/_binary64_3771
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
11010
22910
36310
412510
524210
646010
758110
8126310
9119910
10136510
11140710
12144510
13144510
14144510
15144710
16555410

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.0b
Counts
1 → 1
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 (+.f64 x y) (-.f64 x y))

rewrite42.0ms (2.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
add-sqr-sqrt_binary64_3851 *-un-lft-identity_binary64_3829
cancel-sign-sub-inv_binary64_3795
add-cube-cbrt_binary64_3864 associate-*r*_binary64_3769
frac-times_binary64_3839 distribute-rgt-in_binary64_3779 distribute-lft-in_binary64_3778 associate-*l*_binary64_3770
pow1_binary64_3890 add-exp-log_binary64_3867 add-cbrt-cube_binary64_3865 flip3--_binary64_3833 flip3-+_binary64_3832 flip--_binary64_3804 flip-+_binary64_3803
sub-neg_binary64_3822 associate-*l/_binary64_3772 associate-*r/_binary64_3771
pow-prod-down_binary64_3900 prod-exp_binary64_3878 add-log-exp_binary64_3868 cbrt-unprod_binary64_3862 unswap-sqr_binary64_3797 distribute-lft-out_binary64_3780 difference-of-squares_binary64_3798 distribute-lft-out--_binary64_3781 *-commutative_binary64_3760
Counts
1 → 37
Calls

1 calls:

11.0ms
(*.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 607 to 154 computations (74.6% saved)

series160.0ms (8.2%)

Error
0.0b
Counts
1 → 12
Calls

1 calls:

153.0ms
(*.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 174 to 164 computations (5.7% saved)

simplify87.0ms (4.4%)

Algorithm
egg-herbie
Rules
426×exp-prod_binary64_3881
330×exp-sum_binary64_3875 unsub-neg_binary64_3823
272×cancel-sign-sub-inv_binary64_3795 *-commutative_binary64_3760
247×distribute-rgt-neg-out_binary64_3789
201×sqr-pow_binary64_3801
172×div-sub_binary64_3834 neg-mul-1_binary64_3825
171×associate-+l+_binary64_3762
170×neg-sub0_binary64_3824
166×exp-diff_binary64_3877
165×unswap-sqr_binary64_3797
157×associate-+r+_binary64_3761
155×+-commutative_binary64_3759
145×sub-neg_binary64_3822
117×distribute-neg-in_binary64_3790
110×distribute-rgt-in_binary64_3779
103×distribute-lft-in_binary64_3778
90×associate-*l*_binary64_3770
84×distribute-neg-out_binary64_3791 distribute-lft-neg-out_binary64_3788
76×associate-*r*_binary64_3769
61×distribute-rgt-neg-in_binary64_3787
60×difference-of-squares_binary64_3798
56×distribute-lft-neg-in_binary64_3786
53×exp-neg_binary64_3876
51×rem-sqrt-square_binary64_3842
48×cube-prod_binary64_3857
44×distribute-rgt-out_binary64_3782
37×pow-sqr_binary64_3802 swap-sqr_binary64_3796 associate-+l-_binary64_3764
27×associate-+r-_binary64_3763
26×sqr-neg_binary64_3843
24×*-lft-identity_binary64_3818
23×sub0-neg_binary64_3816
22×remove-double-neg_binary64_3817
21×log-prod_binary64_3915
19×*-rgt-identity_binary64_3819
15×unpow3_binary64_3895 unpow1/2_binary64_3893 +-rgt-identity_binary64_3814
14×times-frac_binary64_3835
13×cube-neg_binary64_3856
11×cube-unmult_binary64_3866 cancel-sign-sub_binary64_3794 associate--r+_binary64_3765
associate-/l*_binary64_3774
cube-mult_binary64_3859
distribute-rgt-out--_binary64_3783
pow-plus_binary64_3892 distribute-frac-neg_binary64_3792
unpow2_binary64_3894 distribute-neg-frac_binary64_3793 distribute-lft-out_binary64_3780
associate-*r/_binary64_3771
unpow1_binary64_3887 --rgt-identity_binary64_3815 count-2_binary64_3777 associate--r-_binary64_3768
1-exp_binary64_3873 exp-1-e_binary64_3872 rem-3cbrt-lft_binary64_3854 rem-square-sqrt_binary64_3841 mul-1-neg_binary64_3821 +-lft-identity_binary64_3813 +-inverses_binary64_3808 associate-/l/_binary64_3776 associate-*l/_binary64_3772 associate--l+_binary64_3766
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_4092 erf-erfc_binary64_4091 erf-odd_binary64_4090 if-if-and-not_binary64_4089 if-if-and_binary64_4088 if-if-or-not_binary64_4087 if-if-or_binary64_4086 if-not_binary64_4085 if-same_binary64_4084 if-false_binary64_4083 if-true_binary64_4082 not-gte_binary64_4081 not-lte_binary64_4080 not-gt_binary64_4079 not-lt_binary64_4078 gte-same_binary64_4077 lte-same_binary64_4076 gt-same_binary64_4075 lt-same_binary64_4074 sinh---cosh_binary64_4021 sinh-+-cosh_binary64_4020 sinh-cosh_binary64_4019 tanh-def-c_binary64_4018 tanh-def-b_binary64_4017 tanh-def-a_binary64_4016 cosh-def_binary64_4015 sinh-def_binary64_4014 tan-neg_binary64_3961 cos-neg_binary64_3960 sin-neg_binary64_3959 tan-0_binary64_3958 cos-0_binary64_3957 sin-0_binary64_3956 hang-m-tan_binary64_3955 hang-p-tan_binary64_3954 hang-m0-tan_binary64_3953 hang-p0-tan_binary64_3952 hang-0m-tan_binary64_3951 hang-0p-tan_binary64_3950 tan-+PI/2_binary64_3949 tan-+PI_binary64_3948 tan-PI_binary64_3947 tan-PI/3_binary64_3946 tan-PI/4_binary64_3945 tan-PI/6_binary64_3944 cos-+PI/2_binary64_3943 cos-+PI_binary64_3942 cos-PI_binary64_3941 cos-PI/2_binary64_3940 cos-PI/3_binary64_3939 cos-PI/4_binary64_3938 cos-PI/6_binary64_3937 sin-+PI/2_binary64_3936 sin-+PI_binary64_3935 sin-PI_binary64_3934 sin-PI/2_binary64_3933 sin-PI/3_binary64_3932 sin-PI/4_binary64_3931 sin-PI/6_binary64_3930 sub-1-sin_binary64_3929 sub-1-cos_binary64_3928 -1-add-sin_binary64_3927 -1-add-cos_binary64_3926 1-sub-sin_binary64_3925 1-sub-cos_binary64_3924 cos-sin-sum_binary64_3923 log-E_binary64_3919 log-pow_binary64_3918 log-rec_binary64_3917 log-div_binary64_3916 pow-base-0_binary64_3913 unpow1/3_binary64_3896 exp-to-pow_binary64_3891 pow-base-1_binary64_3889 unpow0_binary64_3888 unpow-1_binary64_3886 exp-lft-cube_binary64_3885 exp-lft-sqr_binary64_3884 exp-cbrt_binary64_3883 exp-sqrt_binary64_3882 div-exp_binary64_3880 rec-exp_binary64_3879 prod-exp_binary64_3878 e-exp-1_binary64_3874 exp-0_binary64_3871 rem-log-exp_binary64_3870 rem-exp-log_binary64_3869 cube-div_binary64_3858 rem-3cbrt-rft_binary64_3855 rem-cbrt-cube_binary64_3853 rem-cube-cbrt_binary64_3852 sqr-abs_binary64_3844 /-rgt-identity_binary64_3820 mul0-rgt_binary64_3812 mul0-lft_binary64_3811 div0_binary64_3810 *-inverses_binary64_3809 lft-mult-inverse_binary64_3807 rgt-mult-inverse_binary64_3806 remove-double-div_binary64_3805 difference-of-sqr--1_binary64_3800 difference-of-sqr-1_binary64_3799 distribute-rgt1-in_binary64_3785 distribute-lft1-in_binary64_3784 distribute-lft-out--_binary64_3781 associate-/r/_binary64_3775 associate-/r*_binary64_3773 associate--l-_binary64_3767
Counts
49 → 45
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
087748
1245706
2867706
31335706
42553706
54289706
64942706

prune30.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New44145
Fresh000
Picked011
Done000
Total44246
Error
0b
Counts
46 → 2
Compiler

Compiled 576 to 124 computations (78.5% saved)

localize9.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (-.f64 x y) (sqrt.f64 (+.f64 y x))))
0.1b
(*.f64 (-.f64 x y) (sqrt.f64 (+.f64 y x)))

rewrite133.0ms (6.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
42×sqrt-div_binary64_3846
32×frac-times_binary64_3839
21×flip3-+_binary64_3832 flip-+_binary64_3803
16×associate-*r/_binary64_3771
13×add-sqr-sqrt_binary64_3851 *-un-lft-identity_binary64_3829
12×flip3--_binary64_3833 flip--_binary64_3804 associate-*l*_binary64_3770
10×associate-*l/_binary64_3772
pow1_binary64_3890 add-exp-log_binary64_3867 add-cbrt-cube_binary64_3865 sqrt-prod_binary64_3845
associate-*r*_binary64_3769
add-cube-cbrt_binary64_3864
pow-prod-down_binary64_3900 prod-exp_binary64_3878 cbrt-unprod_binary64_3862
add-log-exp_binary64_3868 unswap-sqr_binary64_3797 distribute-lft-out_binary64_3780 *-commutative_binary64_3760
difference-of-squares_binary64_3798 distribute-lft-out--_binary64_3781
Counts
2 → 81
Calls

2 calls:

20.0ms
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (-.f64 x y) (sqrt.f64 (+.f64 y x))))
11.0ms
(*.f64 (-.f64 x y) (sqrt.f64 (+.f64 y x)))
Compiler

Compiled 2272 to 474 computations (79.1% saved)

series235.0ms (12.1%)

Error
0b
Counts
2 → 20
Calls

2 calls:

154.0ms
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (-.f64 x y) (sqrt.f64 (+.f64 y x))))
71.0ms
(*.f64 (-.f64 x y) (sqrt.f64 (+.f64 y x)))
Compiler

Compiled 464 to 372 computations (19.8% saved)

simplify121.0ms (6.2%)

Algorithm
egg-herbie
Rules
670×distribute-rgt-in_binary64_3779
665×distribute-lft-in_binary64_3778
338×*-commutative_binary64_3760
278×distribute-lft-neg-out_binary64_3788
275×distribute-rgt-neg-out_binary64_3789
172×associate-*l*_binary64_3770
171×associate-*r*_binary64_3769
138×unswap-sqr_binary64_3797
134×exp-prod_binary64_3881
77×exp-sum_binary64_3875
68×cancel-sign-sub-inv_binary64_3795
64×neg-sub0_binary64_3824
60×neg-mul-1_binary64_3825 sub-neg_binary64_3822
59×distribute-rgt-neg-in_binary64_3787
55×unsub-neg_binary64_3823
54×distribute-lft-neg-in_binary64_3786
53×sqr-pow_binary64_3801
40×*-rgt-identity_binary64_3819
37×*-lft-identity_binary64_3818
25×associate-+l+_binary64_3762
22×exp-diff_binary64_3877 distribute-rgt-out_binary64_3782 +-commutative_binary64_3759
21×swap-sqr_binary64_3796
19×log-prod_binary64_3915
18×cube-prod_binary64_3857 difference-of-squares_binary64_3798
14×associate-+l-_binary64_3764 associate-+r+_binary64_3761
13×associate-+r-_binary64_3763
11×associate-/l*_binary64_3774
10×pow-sqr_binary64_3802
unpow3_binary64_3895 +-rgt-identity_binary64_3814
rem-sqrt-square_binary64_3842 sub0-neg_binary64_3816
exp-neg_binary64_3876
cube-unmult_binary64_3866 div-sub_binary64_3834 associate-/r*_binary64_3773 associate-*r/_binary64_3771
unpow1/2_binary64_3893 associate-/l/_binary64_3776
rem-square-sqrt_binary64_3841 mul-1-neg_binary64_3821 distribute-neg-in_binary64_3790 distribute-rgt-out--_binary64_3783
pow-plus_binary64_3892 sqr-neg_binary64_3843 associate-/r/_binary64_3775
unpow2_binary64_3894 unpow1_binary64_3887 cube-mult_binary64_3859 distribute-neg-out_binary64_3791 count-2_binary64_3777
1-exp_binary64_3873 exp-1-e_binary64_3872 cancel-sign-sub_binary64_3794 associate-*l/_binary64_3772
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_4092 erf-erfc_binary64_4091 erf-odd_binary64_4090 if-if-and-not_binary64_4089 if-if-and_binary64_4088 if-if-or-not_binary64_4087 if-if-or_binary64_4086 if-not_binary64_4085 if-same_binary64_4084 if-false_binary64_4083 if-true_binary64_4082 not-gte_binary64_4081 not-lte_binary64_4080 not-gt_binary64_4079 not-lt_binary64_4078 gte-same_binary64_4077 lte-same_binary64_4076 gt-same_binary64_4075 lt-same_binary64_4074 sinh---cosh_binary64_4021 sinh-+-cosh_binary64_4020 sinh-cosh_binary64_4019 tanh-def-c_binary64_4018 tanh-def-b_binary64_4017 tanh-def-a_binary64_4016 cosh-def_binary64_4015 sinh-def_binary64_4014 tan-neg_binary64_3961 cos-neg_binary64_3960 sin-neg_binary64_3959 tan-0_binary64_3958 cos-0_binary64_3957 sin-0_binary64_3956 hang-m-tan_binary64_3955 hang-p-tan_binary64_3954 hang-m0-tan_binary64_3953 hang-p0-tan_binary64_3952 hang-0m-tan_binary64_3951 hang-0p-tan_binary64_3950 tan-+PI/2_binary64_3949 tan-+PI_binary64_3948 tan-PI_binary64_3947 tan-PI/3_binary64_3946 tan-PI/4_binary64_3945 tan-PI/6_binary64_3944 cos-+PI/2_binary64_3943 cos-+PI_binary64_3942 cos-PI_binary64_3941 cos-PI/2_binary64_3940 cos-PI/3_binary64_3939 cos-PI/4_binary64_3938 cos-PI/6_binary64_3937 sin-+PI/2_binary64_3936 sin-+PI_binary64_3935 sin-PI_binary64_3934 sin-PI/2_binary64_3933 sin-PI/3_binary64_3932 sin-PI/4_binary64_3931 sin-PI/6_binary64_3930 sub-1-sin_binary64_3929 sub-1-cos_binary64_3928 -1-add-sin_binary64_3927 -1-add-cos_binary64_3926 1-sub-sin_binary64_3925 1-sub-cos_binary64_3924 cos-sin-sum_binary64_3923 log-E_binary64_3919 log-pow_binary64_3918 log-rec_binary64_3917 log-div_binary64_3916 pow-base-0_binary64_3913 unpow1/3_binary64_3896 exp-to-pow_binary64_3891 pow-base-1_binary64_3889 unpow0_binary64_3888 unpow-1_binary64_3886 exp-lft-cube_binary64_3885 exp-lft-sqr_binary64_3884 exp-cbrt_binary64_3883 exp-sqrt_binary64_3882 div-exp_binary64_3880 rec-exp_binary64_3879 prod-exp_binary64_3878 e-exp-1_binary64_3874 exp-0_binary64_3871 rem-log-exp_binary64_3870 rem-exp-log_binary64_3869 cube-div_binary64_3858 cube-neg_binary64_3856 rem-3cbrt-rft_binary64_3855 rem-3cbrt-lft_binary64_3854 rem-cbrt-cube_binary64_3853 rem-cube-cbrt_binary64_3852 sqr-abs_binary64_3844 times-frac_binary64_3835 /-rgt-identity_binary64_3820 remove-double-neg_binary64_3817 --rgt-identity_binary64_3815 +-lft-identity_binary64_3813 mul0-rgt_binary64_3812 mul0-lft_binary64_3811 div0_binary64_3810 *-inverses_binary64_3809 +-inverses_binary64_3808 lft-mult-inverse_binary64_3807 rgt-mult-inverse_binary64_3806 remove-double-div_binary64_3805 difference-of-sqr--1_binary64_3800 difference-of-sqr-1_binary64_3799 distribute-neg-frac_binary64_3793 distribute-frac-neg_binary64_3792 distribute-rgt1-in_binary64_3785 distribute-lft1-in_binary64_3784 distribute-lft-out--_binary64_3781 distribute-lft-out_binary64_3780 associate--r-_binary64_3768 associate--l-_binary64_3767 associate--l+_binary64_3766 associate--r+_binary64_3765
Counts
101 → 77
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01682580
13982332
210422227
331222227
448322227
549872227

prune70.0ms (3.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New77077
Fresh000
Picked011
Done011
Total77279
Error
0b
Counts
79 → 2
Compiler

Compiled 1625 to 404 computations (75.1% saved)

regimes54.0ms (2.8%)

Accuracy

Total 0.0b remaining (25%)

Threshold costs 0.0b (25%)

Compiler

Compiled 348 to 201 computations (42.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64_3759
sub-neg_binary64_3822 *-commutative_binary64_3760
neg-mul-1_binary64_3825 neg-sub0_binary64_3824
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_4089 if-if-and_binary64_4088 if-if-or-not_binary64_4087 if-if-or_binary64_4086 if-not_binary64_4085 if-same_binary64_4084 if-false_binary64_4083 if-true_binary64_4082 tan-0_binary64_3958 cos-0_binary64_3957 sin-0_binary64_3956 unpow1_binary64_3887 e-exp-1_binary64_3874 1-exp_binary64_3873 exp-1-e_binary64_3872 exp-0_binary64_3871 sqr-abs_binary64_3844 sqr-neg_binary64_3843 unsub-neg_binary64_3823 mul-1-neg_binary64_3821 /-rgt-identity_binary64_3820 *-rgt-identity_binary64_3819 *-lft-identity_binary64_3818 remove-double-neg_binary64_3817 sub0-neg_binary64_3816 --rgt-identity_binary64_3815 +-rgt-identity_binary64_3814 +-lft-identity_binary64_3813 cancel-sign-sub-inv_binary64_3795 cancel-sign-sub_binary64_3794 distribute-neg-frac_binary64_3793 distribute-frac-neg_binary64_3792 distribute-neg-out_binary64_3791 distribute-neg-in_binary64_3790 distribute-rgt-neg-out_binary64_3789 distribute-lft-neg-out_binary64_3788 distribute-rgt-neg-in_binary64_3787 distribute-lft-neg-in_binary64_3786
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
11010
21510
31710
41810
51810

end0.0ms (0%)

sample514.0ms (26.4%)

Algorithm
intervals
Results
174.0ms8000×body128valid
3.0ms153×body128invalid
Compiler

Compiled 125 to 74 computations (40.8% saved)

Profiling

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