Details

Time bar (total: 2.2s)

analyze261.0ms (11.6%)

Algorithm
search
egg-herbie
Rules
508×div-sub_binary64_14746
484×times-frac_binary64_14747
291×associate-/l*_binary64_14686
250×cancel-sign-sub-inv_binary64_14707
180×distribute-rgt-in_binary64_14691
170×distribute-lft-in_binary64_14690
169×sub-neg_binary64_14734
140×associate-/r*_binary64_14685
122×distribute-lft-neg-in_binary64_14698
104×distribute-rgt-neg-in_binary64_14699 associate-*r*_binary64_14681
88×unsub-neg_binary64_14735
68×distribute-neg-frac_binary64_14705
56×associate-*r/_binary64_14683
53×distribute-frac-neg_binary64_14704
49×associate-*l*_binary64_14682
48×*-commutative_binary64_14672
43×distribute-rgt-neg-out_binary64_14701
42×associate-*l/_binary64_14684
40×distribute-lft-neg-out_binary64_14700
39×associate-/l/_binary64_14688
32×neg-mul-1_binary64_14737
24×neg-sub0_binary64_14736 associate--r+_binary64_14677
20×associate--l-_binary64_14679 +-commutative_binary64_14671
16×mul0-rgt_binary64_14724 mul0-lft_binary64_14723 associate-/r/_binary64_14687
14×div0_binary64_14722
13×*-lft-identity_binary64_14730
12×/-rgt-identity_binary64_14732
11×associate--r-_binary64_14680
*-rgt-identity_binary64_14731 sub0-neg_binary64_14728
+-lft-identity_binary64_14725 associate-+l-_binary64_14676
associate-+r-_binary64_14675 associate-+r+_binary64_14673
remove-double-neg_binary64_14729 +-rgt-identity_binary64_14726 remove-double-div_binary64_14717 distribute-neg-out_binary64_14703 distribute-neg-in_binary64_14702
*-inverses_binary64_14721 distribute-lft-out--_binary64_14693
1-exp_binary64_14785 distribute-rgt-out--_binary64_14695 distribute-rgt-out_binary64_14694 associate--l+_binary64_14678 associate-+l+_binary64_14674
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_15004 erf-erfc_binary64_15003 erf-odd_binary64_15002 if-if-and-not_binary64_15001 if-if-and_binary64_15000 if-if-or-not_binary64_14999 if-if-or_binary64_14998 if-not_binary64_14997 if-same_binary64_14996 if-false_binary64_14995 if-true_binary64_14994 not-gte_binary64_14993 not-lte_binary64_14992 not-gt_binary64_14991 not-lt_binary64_14990 gte-same_binary64_14989 lte-same_binary64_14988 gt-same_binary64_14987 lt-same_binary64_14986 sinh---cosh_binary64_14933 sinh-+-cosh_binary64_14932 sinh-cosh_binary64_14931 tanh-def-c_binary64_14930 tanh-def-b_binary64_14929 tanh-def-a_binary64_14928 cosh-def_binary64_14927 sinh-def_binary64_14926 tan-neg_binary64_14873 cos-neg_binary64_14872 sin-neg_binary64_14871 tan-0_binary64_14870 cos-0_binary64_14869 sin-0_binary64_14868 hang-m-tan_binary64_14867 hang-p-tan_binary64_14866 hang-m0-tan_binary64_14865 hang-p0-tan_binary64_14864 hang-0m-tan_binary64_14863 hang-0p-tan_binary64_14862 tan-+PI/2_binary64_14861 tan-+PI_binary64_14860 tan-PI_binary64_14859 tan-PI/3_binary64_14858 tan-PI/4_binary64_14857 tan-PI/6_binary64_14856 cos-+PI/2_binary64_14855 cos-+PI_binary64_14854 cos-PI_binary64_14853 cos-PI/2_binary64_14852 cos-PI/3_binary64_14851 cos-PI/4_binary64_14850 cos-PI/6_binary64_14849 sin-+PI/2_binary64_14848 sin-+PI_binary64_14847 sin-PI_binary64_14846 sin-PI/2_binary64_14845 sin-PI/3_binary64_14844 sin-PI/4_binary64_14843 sin-PI/6_binary64_14842 sub-1-sin_binary64_14841 sub-1-cos_binary64_14840 -1-add-sin_binary64_14839 -1-add-cos_binary64_14838 1-sub-sin_binary64_14837 1-sub-cos_binary64_14836 cos-sin-sum_binary64_14835 log-E_binary64_14831 log-pow_binary64_14830 log-rec_binary64_14829 log-div_binary64_14828 log-prod_binary64_14827 pow-base-0_binary64_14825 unpow1/3_binary64_14808 unpow3_binary64_14807 unpow2_binary64_14806 unpow1/2_binary64_14805 pow-plus_binary64_14804 exp-to-pow_binary64_14803 pow-base-1_binary64_14801 unpow0_binary64_14800 unpow1_binary64_14799 unpow-1_binary64_14798 exp-lft-cube_binary64_14797 exp-lft-sqr_binary64_14796 exp-cbrt_binary64_14795 exp-sqrt_binary64_14794 exp-prod_binary64_14793 div-exp_binary64_14792 rec-exp_binary64_14791 prod-exp_binary64_14790 exp-diff_binary64_14789 exp-neg_binary64_14788 exp-sum_binary64_14787 e-exp-1_binary64_14786 exp-1-e_binary64_14784 exp-0_binary64_14783 rem-log-exp_binary64_14782 rem-exp-log_binary64_14781 cube-unmult_binary64_14778 cube-mult_binary64_14771 cube-div_binary64_14770 cube-prod_binary64_14769 cube-neg_binary64_14768 rem-3cbrt-rft_binary64_14767 rem-3cbrt-lft_binary64_14766 rem-cbrt-cube_binary64_14765 rem-cube-cbrt_binary64_14764 sqr-abs_binary64_14756 sqr-neg_binary64_14755 rem-sqrt-square_binary64_14754 rem-square-sqrt_binary64_14753 mul-1-neg_binary64_14733 --rgt-identity_binary64_14727 +-inverses_binary64_14720 lft-mult-inverse_binary64_14719 rgt-mult-inverse_binary64_14718 pow-sqr_binary64_14714 sqr-pow_binary64_14713 difference-of-sqr--1_binary64_14712 difference-of-sqr-1_binary64_14711 difference-of-squares_binary64_14710 unswap-sqr_binary64_14709 swap-sqr_binary64_14708 cancel-sign-sub_binary64_14706 distribute-rgt1-in_binary64_14697 distribute-lft1-in_binary64_14696 distribute-lft-out_binary64_14692 count-2_binary64_14689
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
11720
22920
34720
48320
512320
620220
734220
882620
9113520
1088420
1186520
1288720
1386920
1486920
1588120
1690720
1788320
1878220
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
25%74.9%0.1%4
37.5%62.4%0.1%5
59.3%40.6%0.1%6
76.5%23.4%0.1%7
82%18%0.1%8
87.8%12.1%0.1%9
90.7%9.2%0.1%10
93.8%6.1%0.1%11
95.3%4.6%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14
Compiler

Compiled 8 to 6 computations (25% saved)

sample14.0ms (0.6%)

Algorithm
intervals
Results
6.0ms256×body128valid
Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify73.0ms (3.3%)

Algorithm
egg-herbie
Rules
365×times-frac_binary64_14747
344×div-sub_binary64_14746
156×associate-/l*_binary64_14686
143×distribute-rgt-in_binary64_14691
129×sub-neg_binary64_14734
124×distribute-lft-in_binary64_14690
118×cancel-sign-sub-inv_binary64_14707
106×associate-/r*_binary64_14685
99×unsub-neg_binary64_14735
62×associate-/r/_binary64_14687
48×associate-/l/_binary64_14688
40×distribute-lft-neg-in_binary64_14698
39×distribute-neg-frac_binary64_14705
36×distribute-rgt-neg-in_binary64_14699
34×distribute-frac-neg_binary64_14704
31×neg-mul-1_binary64_14737
30×associate-*l/_binary64_14684
21×neg-sub0_binary64_14736 associate--r+_binary64_14677
20×associate-*r*_binary64_14681 associate--r-_binary64_14680
19×sub0-neg_binary64_14728 associate--l-_binary64_14679
17×distribute-rgt-neg-out_binary64_14701 distribute-lft-neg-out_binary64_14700
16×mul0-rgt_binary64_14724 +-commutative_binary64_14671
13×distribute-neg-in_binary64_14702
12×*-lft-identity_binary64_14730 mul0-lft_binary64_14723
11×associate-*l*_binary64_14682 *-commutative_binary64_14672
10×associate-+l-_binary64_14676
/-rgt-identity_binary64_14732 div0_binary64_14722 associate-+l+_binary64_14674
*-rgt-identity_binary64_14731 +-lft-identity_binary64_14725 associate-+r-_binary64_14675
associate-+r+_binary64_14673
remove-double-neg_binary64_14729 associate-*r/_binary64_14683
+-rgt-identity_binary64_14726
distribute-neg-out_binary64_14703
mul-1-neg_binary64_14733 *-inverses_binary64_14721 remove-double-div_binary64_14717 associate--l+_binary64_14678
1-exp_binary64_14785 --rgt-identity_binary64_14727 distribute-rgt-out_binary64_14694
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_15004 erf-erfc_binary64_15003 erf-odd_binary64_15002 if-if-and-not_binary64_15001 if-if-and_binary64_15000 if-if-or-not_binary64_14999 if-if-or_binary64_14998 if-not_binary64_14997 if-same_binary64_14996 if-false_binary64_14995 if-true_binary64_14994 not-gte_binary64_14993 not-lte_binary64_14992 not-gt_binary64_14991 not-lt_binary64_14990 gte-same_binary64_14989 lte-same_binary64_14988 gt-same_binary64_14987 lt-same_binary64_14986 sinh---cosh_binary64_14933 sinh-+-cosh_binary64_14932 sinh-cosh_binary64_14931 tanh-def-c_binary64_14930 tanh-def-b_binary64_14929 tanh-def-a_binary64_14928 cosh-def_binary64_14927 sinh-def_binary64_14926 tan-neg_binary64_14873 cos-neg_binary64_14872 sin-neg_binary64_14871 tan-0_binary64_14870 cos-0_binary64_14869 sin-0_binary64_14868 hang-m-tan_binary64_14867 hang-p-tan_binary64_14866 hang-m0-tan_binary64_14865 hang-p0-tan_binary64_14864 hang-0m-tan_binary64_14863 hang-0p-tan_binary64_14862 tan-+PI/2_binary64_14861 tan-+PI_binary64_14860 tan-PI_binary64_14859 tan-PI/3_binary64_14858 tan-PI/4_binary64_14857 tan-PI/6_binary64_14856 cos-+PI/2_binary64_14855 cos-+PI_binary64_14854 cos-PI_binary64_14853 cos-PI/2_binary64_14852 cos-PI/3_binary64_14851 cos-PI/4_binary64_14850 cos-PI/6_binary64_14849 sin-+PI/2_binary64_14848 sin-+PI_binary64_14847 sin-PI_binary64_14846 sin-PI/2_binary64_14845 sin-PI/3_binary64_14844 sin-PI/4_binary64_14843 sin-PI/6_binary64_14842 sub-1-sin_binary64_14841 sub-1-cos_binary64_14840 -1-add-sin_binary64_14839 -1-add-cos_binary64_14838 1-sub-sin_binary64_14837 1-sub-cos_binary64_14836 cos-sin-sum_binary64_14835 log-E_binary64_14831 log-pow_binary64_14830 log-rec_binary64_14829 log-div_binary64_14828 log-prod_binary64_14827 pow-base-0_binary64_14825 unpow1/3_binary64_14808 unpow3_binary64_14807 unpow2_binary64_14806 unpow1/2_binary64_14805 pow-plus_binary64_14804 exp-to-pow_binary64_14803 pow-base-1_binary64_14801 unpow0_binary64_14800 unpow1_binary64_14799 unpow-1_binary64_14798 exp-lft-cube_binary64_14797 exp-lft-sqr_binary64_14796 exp-cbrt_binary64_14795 exp-sqrt_binary64_14794 exp-prod_binary64_14793 div-exp_binary64_14792 rec-exp_binary64_14791 prod-exp_binary64_14790 exp-diff_binary64_14789 exp-neg_binary64_14788 exp-sum_binary64_14787 e-exp-1_binary64_14786 exp-1-e_binary64_14784 exp-0_binary64_14783 rem-log-exp_binary64_14782 rem-exp-log_binary64_14781 cube-unmult_binary64_14778 cube-mult_binary64_14771 cube-div_binary64_14770 cube-prod_binary64_14769 cube-neg_binary64_14768 rem-3cbrt-rft_binary64_14767 rem-3cbrt-lft_binary64_14766 rem-cbrt-cube_binary64_14765 rem-cube-cbrt_binary64_14764 sqr-abs_binary64_14756 sqr-neg_binary64_14755 rem-sqrt-square_binary64_14754 rem-square-sqrt_binary64_14753 +-inverses_binary64_14720 lft-mult-inverse_binary64_14719 rgt-mult-inverse_binary64_14718 pow-sqr_binary64_14714 sqr-pow_binary64_14713 difference-of-sqr--1_binary64_14712 difference-of-sqr-1_binary64_14711 difference-of-squares_binary64_14710 unswap-sqr_binary64_14709 swap-sqr_binary64_14708 cancel-sign-sub_binary64_14706 distribute-rgt1-in_binary64_14697 distribute-lft1-in_binary64_14696 distribute-rgt-out--_binary64_14695 distribute-lft-out--_binary64_14693 distribute-lft-out_binary64_14692 count-2_binary64_14689
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
11210
21910
32910
44910
57510
611110
716310
825110
956910
1068310
1196710
1286610
1387710
1487910
1588310
1688310
1778210

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)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite48.0ms (2.2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
34×*-un-lft-identity_binary64_14741
22×add-sqr-sqrt_binary64_14763
20×times-frac_binary64_14747
12×add-cube-cbrt_binary64_14776
distribute-lft-out_binary64_14692
difference-of-squares_binary64_14710 distribute-lft-out--_binary64_14693 associate-/l*_binary64_14686
associate-/r*_binary64_14685
add-exp-log_binary64_14779 add-cbrt-cube_binary64_14777
associate-/l/_binary64_14688 associate-/r/_binary64_14687
pow1_binary64_14802 div-exp_binary64_14792 add-log-exp_binary64_14780 cbrt-undiv_binary64_14775 frac-2neg_binary64_14752 div-sub_binary64_14746 clear-num_binary64_14740 div-inv_binary64_14738 flip3--_binary64_14745 flip--_binary64_14716 flip3-+_binary64_14744 flip-+_binary64_14715
Counts
1 → 46
Calls

1 calls:

8.0ms
(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 725 to 165 computations (77.2% saved)

series106.0ms (4.7%)

Error
0.0b
Counts
1 → 15
Calls

1 calls:

95.0ms
(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 330 to 289 computations (12.4% saved)

simplify86.0ms (3.8%)

Algorithm
egg-herbie
Rules
919×div-sub_binary64_14746
591×times-frac_binary64_14747
573×associate-/l*_binary64_14686
334×distribute-rgt-in_binary64_14691
319×distribute-lft-in_binary64_14690
216×associate-/l/_binary64_14688
151×associate-/r/_binary64_14687
71×sub-neg_binary64_14734 cancel-sign-sub-inv_binary64_14707
65×associate-*l/_binary64_14684
63×associate-*l*_binary64_14682
60×unswap-sqr_binary64_14709 distribute-rgt-neg-out_binary64_14701
59×distribute-rgt-out_binary64_14694
58×associate-/r*_binary64_14685
52×*-commutative_binary64_14672
49×distribute-lft-neg-out_binary64_14700
44×associate-*r/_binary64_14683 associate-*r*_binary64_14681
31×neg-sub0_binary64_14736 distribute-neg-frac_binary64_14705 distribute-frac-neg_binary64_14704 distribute-rgt-neg-in_binary64_14699 +-commutative_binary64_14671
30×cube-prod_binary64_14769
29×distribute-lft-out_binary64_14692
28×distribute-lft-neg-in_binary64_14698
27×associate-+l+_binary64_14674
26×neg-mul-1_binary64_14737 sqr-pow_binary64_14713
22×exp-prod_binary64_14793 cube-div_binary64_14770
19×unsub-neg_binary64_14735
18×associate-+r+_binary64_14673
13×unpow3_binary64_14807
12×cube-unmult_binary64_14778
10×sqr-neg_binary64_14755 *-rgt-identity_binary64_14731 associate-+l-_binary64_14676
distribute-rgt-out--_binary64_14695 associate-+r-_binary64_14675
log-prod_binary64_14827 difference-of-squares_binary64_14710
/-rgt-identity_binary64_14732 sub0-neg_binary64_14728 +-rgt-identity_binary64_14726
log-div_binary64_14828 pow-plus_binary64_14804 exp-diff_binary64_14789 cube-mult_binary64_14771 swap-sqr_binary64_14708 distribute-neg-in_binary64_14702
distribute-lft-out--_binary64_14693
cube-neg_binary64_14768 *-lft-identity_binary64_14730
exp-sum_binary64_14787 rem-sqrt-square_binary64_14754 associate--r+_binary64_14677
unpow2_binary64_14806 unpow1/2_binary64_14805 unpow1_binary64_14799 pow-sqr_binary64_14714 distribute-rgt1-in_binary64_14697 count-2_binary64_14689 associate--r-_binary64_14680 associate--l-_binary64_14679 associate--l+_binary64_14678
exp-neg_binary64_14788 1-exp_binary64_14785 remove-double-neg_binary64_14729 --rgt-identity_binary64_14727 *-inverses_binary64_14721 cancel-sign-sub_binary64_14706
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_15004 erf-erfc_binary64_15003 erf-odd_binary64_15002 if-if-and-not_binary64_15001 if-if-and_binary64_15000 if-if-or-not_binary64_14999 if-if-or_binary64_14998 if-not_binary64_14997 if-same_binary64_14996 if-false_binary64_14995 if-true_binary64_14994 not-gte_binary64_14993 not-lte_binary64_14992 not-gt_binary64_14991 not-lt_binary64_14990 gte-same_binary64_14989 lte-same_binary64_14988 gt-same_binary64_14987 lt-same_binary64_14986 sinh---cosh_binary64_14933 sinh-+-cosh_binary64_14932 sinh-cosh_binary64_14931 tanh-def-c_binary64_14930 tanh-def-b_binary64_14929 tanh-def-a_binary64_14928 cosh-def_binary64_14927 sinh-def_binary64_14926 tan-neg_binary64_14873 cos-neg_binary64_14872 sin-neg_binary64_14871 tan-0_binary64_14870 cos-0_binary64_14869 sin-0_binary64_14868 hang-m-tan_binary64_14867 hang-p-tan_binary64_14866 hang-m0-tan_binary64_14865 hang-p0-tan_binary64_14864 hang-0m-tan_binary64_14863 hang-0p-tan_binary64_14862 tan-+PI/2_binary64_14861 tan-+PI_binary64_14860 tan-PI_binary64_14859 tan-PI/3_binary64_14858 tan-PI/4_binary64_14857 tan-PI/6_binary64_14856 cos-+PI/2_binary64_14855 cos-+PI_binary64_14854 cos-PI_binary64_14853 cos-PI/2_binary64_14852 cos-PI/3_binary64_14851 cos-PI/4_binary64_14850 cos-PI/6_binary64_14849 sin-+PI/2_binary64_14848 sin-+PI_binary64_14847 sin-PI_binary64_14846 sin-PI/2_binary64_14845 sin-PI/3_binary64_14844 sin-PI/4_binary64_14843 sin-PI/6_binary64_14842 sub-1-sin_binary64_14841 sub-1-cos_binary64_14840 -1-add-sin_binary64_14839 -1-add-cos_binary64_14838 1-sub-sin_binary64_14837 1-sub-cos_binary64_14836 cos-sin-sum_binary64_14835 log-E_binary64_14831 log-pow_binary64_14830 log-rec_binary64_14829 pow-base-0_binary64_14825 unpow1/3_binary64_14808 exp-to-pow_binary64_14803 pow-base-1_binary64_14801 unpow0_binary64_14800 unpow-1_binary64_14798 exp-lft-cube_binary64_14797 exp-lft-sqr_binary64_14796 exp-cbrt_binary64_14795 exp-sqrt_binary64_14794 div-exp_binary64_14792 rec-exp_binary64_14791 prod-exp_binary64_14790 e-exp-1_binary64_14786 exp-1-e_binary64_14784 exp-0_binary64_14783 rem-log-exp_binary64_14782 rem-exp-log_binary64_14781 rem-3cbrt-rft_binary64_14767 rem-3cbrt-lft_binary64_14766 rem-cbrt-cube_binary64_14765 rem-cube-cbrt_binary64_14764 sqr-abs_binary64_14756 rem-square-sqrt_binary64_14753 mul-1-neg_binary64_14733 +-lft-identity_binary64_14725 mul0-rgt_binary64_14724 mul0-lft_binary64_14723 div0_binary64_14722 +-inverses_binary64_14720 lft-mult-inverse_binary64_14719 rgt-mult-inverse_binary64_14718 remove-double-div_binary64_14717 difference-of-sqr--1_binary64_14712 difference-of-sqr-1_binary64_14711 distribute-neg-out_binary64_14703 distribute-lft1-in_binary64_14696
Counts
61 → 24
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
092992
1232950
2505939
31297930
44579930
56407930

prune19.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New22224
Fresh000
Picked011
Done000
Total22325
Error
0.0b
Counts
25 → 3
Compiler

Compiled 289 to 102 computations (64.7% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 2 (/.f64 y x))
0.1b
(*.f64 (/.f64 y x) (-.f64 (*.f64 2 (/.f64 y x)) 2))

rewrite113.0ms (5.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
30×add-sqr-sqrt_binary64_14763
20×add-cube-cbrt_binary64_14776 *-un-lft-identity_binary64_14741 times-frac_binary64_14747
16×associate-*l*_binary64_14682 associate-*r*_binary64_14681
12×add-exp-log_binary64_14779 add-cbrt-cube_binary64_14777
pow1_binary64_14802 cancel-sign-sub-inv_binary64_14707
prod-exp_binary64_14790 cbrt-unprod_binary64_14774 unswap-sqr_binary64_14709 distribute-rgt-in_binary64_14691 distribute-lft-in_binary64_14690
associate-*r/_binary64_14683
pow-prod-down_binary64_14812 div-exp_binary64_14792 add-log-exp_binary64_14780 cbrt-undiv_binary64_14775 flip3--_binary64_14745 frac-times_binary64_14751 flip--_binary64_14716 sub-neg_binary64_14734 div-inv_binary64_14738 *-commutative_binary64_14672
associate-*l/_binary64_14684
Counts
2 → 76
Calls

2 calls:

14.0ms
(*.f64 (/.f64 y x) (-.f64 (*.f64 2 (/.f64 y x)) 2))
7.0ms
(*.f64 2 (/.f64 y x))
Compiler

Compiled 1652 to 902 computations (45.4% saved)

series349.0ms (15.6%)

Error
0.0b
Counts
2 → 18
Calls

2 calls:

243.0ms
(*.f64 (/.f64 y x) (-.f64 (*.f64 2 (/.f64 y x)) 2))
91.0ms
(*.f64 2 (/.f64 y x))
Compiler

Compiled 648 to 510 computations (21.3% saved)

simplify103.0ms (4.6%)

Algorithm
egg-herbie
Rules
472×associate-*l/_binary64_14684
420×associate-*r/_binary64_14683
299×associate-/l*_binary64_14686
251×*-commutative_binary64_14672
216×exp-prod_binary64_14793
210×times-frac_binary64_14747
169×distribute-rgt-in_binary64_14691
165×distribute-lft-in_binary64_14690
141×associate-/r*_binary64_14685
115×unswap-sqr_binary64_14709
104×log-prod_binary64_14827 associate-*l*_binary64_14682
89×associate-*r*_binary64_14681
82×distribute-rgt-neg-out_binary64_14701
79×log-div_binary64_14828
75×distribute-lft-neg-out_binary64_14700
74×associate-+l+_binary64_14674
64×unsub-neg_binary64_14735
63×*-rgt-identity_binary64_14731 associate-/l/_binary64_14688
60×associate-/r/_binary64_14687
56×sqr-pow_binary64_14713
51×div-sub_binary64_14746 distribute-rgt-out_binary64_14694
50×cancel-sign-sub-inv_binary64_14707
47×cube-prod_binary64_14769
44×*-lft-identity_binary64_14730
41×sub-neg_binary64_14734
40×swap-sqr_binary64_14708
38×unpow3_binary64_14807
36×cube-div_binary64_14770
34×distribute-rgt-neg-in_binary64_14699
31×neg-mul-1_binary64_14737 neg-sub0_binary64_14736
29×distribute-lft-neg-in_binary64_14698
25×associate-+l-_binary64_14676
24×+-commutative_binary64_14671
23×distribute-frac-neg_binary64_14704
22×associate-+r-_binary64_14675
18×distribute-neg-frac_binary64_14705
17×associate--l+_binary64_14678
16×distribute-rgt-out--_binary64_14695
15×/-rgt-identity_binary64_14732
12×associate--r+_binary64_14677 associate-+r+_binary64_14673
11×exp-sum_binary64_14787 distribute-rgt1-in_binary64_14697
log-rec_binary64_14829
pow-sqr_binary64_14714
distribute-lft1-in_binary64_14696
log-pow_binary64_14830 unpow1/2_binary64_14805 exp-diff_binary64_14789 cube-mult_binary64_14771 mul0-rgt_binary64_14724 mul0-lft_binary64_14723 distribute-lft-out_binary64_14692
exp-lft-sqr_binary64_14796 distribute-neg-in_binary64_14702 distribute-lft-out--_binary64_14693
pow-plus_binary64_14804 prod-exp_binary64_14790 cube-unmult_binary64_14778 +-rgt-identity_binary64_14726
unpow1_binary64_14799 exp-neg_binary64_14788 rem-sqrt-square_binary64_14754 count-2_binary64_14689
unpow2_binary64_14806 div-exp_binary64_14792
1-exp_binary64_14785 exp-1-e_binary64_14784 rem-3cbrt-lft_binary64_14766 rem-square-sqrt_binary64_14753 remove-double-neg_binary64_14729 sub0-neg_binary64_14728 *-inverses_binary64_14721 difference-of-sqr--1_binary64_14712 difference-of-squares_binary64_14710 associate--r-_binary64_14680 associate--l-_binary64_14679
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_15004 erf-erfc_binary64_15003 erf-odd_binary64_15002 if-if-and-not_binary64_15001 if-if-and_binary64_15000 if-if-or-not_binary64_14999 if-if-or_binary64_14998 if-not_binary64_14997 if-same_binary64_14996 if-false_binary64_14995 if-true_binary64_14994 not-gte_binary64_14993 not-lte_binary64_14992 not-gt_binary64_14991 not-lt_binary64_14990 gte-same_binary64_14989 lte-same_binary64_14988 gt-same_binary64_14987 lt-same_binary64_14986 sinh---cosh_binary64_14933 sinh-+-cosh_binary64_14932 sinh-cosh_binary64_14931 tanh-def-c_binary64_14930 tanh-def-b_binary64_14929 tanh-def-a_binary64_14928 cosh-def_binary64_14927 sinh-def_binary64_14926 tan-neg_binary64_14873 cos-neg_binary64_14872 sin-neg_binary64_14871 tan-0_binary64_14870 cos-0_binary64_14869 sin-0_binary64_14868 hang-m-tan_binary64_14867 hang-p-tan_binary64_14866 hang-m0-tan_binary64_14865 hang-p0-tan_binary64_14864 hang-0m-tan_binary64_14863 hang-0p-tan_binary64_14862 tan-+PI/2_binary64_14861 tan-+PI_binary64_14860 tan-PI_binary64_14859 tan-PI/3_binary64_14858 tan-PI/4_binary64_14857 tan-PI/6_binary64_14856 cos-+PI/2_binary64_14855 cos-+PI_binary64_14854 cos-PI_binary64_14853 cos-PI/2_binary64_14852 cos-PI/3_binary64_14851 cos-PI/4_binary64_14850 cos-PI/6_binary64_14849 sin-+PI/2_binary64_14848 sin-+PI_binary64_14847 sin-PI_binary64_14846 sin-PI/2_binary64_14845 sin-PI/3_binary64_14844 sin-PI/4_binary64_14843 sin-PI/6_binary64_14842 sub-1-sin_binary64_14841 sub-1-cos_binary64_14840 -1-add-sin_binary64_14839 -1-add-cos_binary64_14838 1-sub-sin_binary64_14837 1-sub-cos_binary64_14836 cos-sin-sum_binary64_14835 log-E_binary64_14831 pow-base-0_binary64_14825 unpow1/3_binary64_14808 exp-to-pow_binary64_14803 pow-base-1_binary64_14801 unpow0_binary64_14800 unpow-1_binary64_14798 exp-lft-cube_binary64_14797 exp-cbrt_binary64_14795 exp-sqrt_binary64_14794 rec-exp_binary64_14791 e-exp-1_binary64_14786 exp-0_binary64_14783 rem-log-exp_binary64_14782 rem-exp-log_binary64_14781 cube-neg_binary64_14768 rem-3cbrt-rft_binary64_14767 rem-cbrt-cube_binary64_14765 rem-cube-cbrt_binary64_14764 sqr-abs_binary64_14756 sqr-neg_binary64_14755 mul-1-neg_binary64_14733 --rgt-identity_binary64_14727 +-lft-identity_binary64_14725 div0_binary64_14722 +-inverses_binary64_14720 lft-mult-inverse_binary64_14719 rgt-mult-inverse_binary64_14718 remove-double-div_binary64_14717 difference-of-sqr-1_binary64_14711 cancel-sign-sub_binary64_14706 distribute-neg-out_binary64_14703
Counts
94 → 81
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01521555
13831423
210941417
334591417
447191417
549331417

prune83.0ms (3.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New81081
Fresh011
Picked011
Done011
Total81384
Error
0.0b
Counts
84 → 3
Compiler

Compiled 1498 to 822 computations (45.1% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 2 (/.f64 x y))

rewrite33.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
14×add-sqr-sqrt_binary64_14763
13×associate-*r*_binary64_14681
10×times-frac_binary64_14747
add-cube-cbrt_binary64_14776 *-un-lft-identity_binary64_14741
add-exp-log_binary64_14779 add-cbrt-cube_binary64_14777
pow1_binary64_14802 associate-*l*_binary64_14682
prod-exp_binary64_14790 cbrt-unprod_binary64_14774 unswap-sqr_binary64_14709
pow-prod-down_binary64_14812 div-exp_binary64_14792 add-log-exp_binary64_14780 cbrt-undiv_binary64_14775 associate-*r/_binary64_14683 div-inv_binary64_14738 *-commutative_binary64_14672
Counts
1 → 32
Calls

1 calls:

7.0ms
(*.f64 2 (/.f64 x y))
Compiler

Compiled 437 to 258 computations (41% saved)

series92.0ms (4.1%)

Error
0.0b
Counts
1 → 6
Calls

1 calls:

88.0ms
(*.f64 2 (/.f64 x y))
Compiler

Compiled 126 to 111 computations (11.9% saved)

simplify103.0ms (4.6%)

Algorithm
egg-herbie
Rules
873×times-frac_binary64_14747
762×distribute-rgt-out_binary64_14694
407×associate-/l*_binary64_14686
338×associate-*l/_binary64_14684
306×*-commutative_binary64_14672
293×associate-+l+_binary64_14674
280×associate-*r/_binary64_14683
258×associate-/l/_binary64_14688
252×+-commutative_binary64_14671
249×associate-+r+_binary64_14673
243×associate-*l*_binary64_14682
235×unswap-sqr_binary64_14709
177×sqr-pow_binary64_14713
147×associate-*r*_binary64_14681
130×distribute-rgt-in_binary64_14691
126×associate-/r/_binary64_14687
120×associate-/r*_binary64_14685
92×pow-sqr_binary64_14714
53×count-2_binary64_14689
51×distribute-rgt1-in_binary64_14697
45×sub-neg_binary64_14734 cancel-sign-sub-inv_binary64_14707
43×distribute-lft1-in_binary64_14696
37×distribute-lft-in_binary64_14690
26×cube-prod_binary64_14769
24×associate--r+_binary64_14677
20×unsub-neg_binary64_14735
18×neg-mul-1_binary64_14737 associate--r-_binary64_14680
17×unpow3_binary64_14807 associate--l+_binary64_14678
15×*-lft-identity_binary64_14730 distribute-neg-in_binary64_14702 associate-+l-_binary64_14676
14×*-rgt-identity_binary64_14731 distribute-rgt-neg-in_binary64_14699
13×neg-sub0_binary64_14736
12×cube-unmult_binary64_14778
11×distribute-lft-neg-out_binary64_14700
10×cube-mult_binary64_14771 sub0-neg_binary64_14728
swap-sqr_binary64_14708
associate-+r-_binary64_14675
log-div_binary64_14828
/-rgt-identity_binary64_14732 distribute-rgt-neg-out_binary64_14701
pow-plus_binary64_14804 cube-div_binary64_14770 +-rgt-identity_binary64_14726
exp-prod_binary64_14793 distribute-lft-neg-in_binary64_14698 associate--l-_binary64_14679
log-prod_binary64_14827 unpow2_binary64_14806 unpow1_binary64_14799 remove-double-neg_binary64_14729 +-lft-identity_binary64_14725
unpow1/2_binary64_14805 --rgt-identity_binary64_14727 remove-double-div_binary64_14717
exp-lft-sqr_binary64_14796 prod-exp_binary64_14790 1-exp_binary64_14785 rem-sqrt-square_binary64_14754 distribute-rgt-out--_binary64_14695 distribute-lft-out--_binary64_14693
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_15004 erf-erfc_binary64_15003 erf-odd_binary64_15002 if-if-and-not_binary64_15001 if-if-and_binary64_15000 if-if-or-not_binary64_14999 if-if-or_binary64_14998 if-not_binary64_14997 if-same_binary64_14996 if-false_binary64_14995 if-true_binary64_14994 not-gte_binary64_14993 not-lte_binary64_14992 not-gt_binary64_14991 not-lt_binary64_14990 gte-same_binary64_14989 lte-same_binary64_14988 gt-same_binary64_14987 lt-same_binary64_14986 sinh---cosh_binary64_14933 sinh-+-cosh_binary64_14932 sinh-cosh_binary64_14931 tanh-def-c_binary64_14930 tanh-def-b_binary64_14929 tanh-def-a_binary64_14928 cosh-def_binary64_14927 sinh-def_binary64_14926 tan-neg_binary64_14873 cos-neg_binary64_14872 sin-neg_binary64_14871 tan-0_binary64_14870 cos-0_binary64_14869 sin-0_binary64_14868 hang-m-tan_binary64_14867 hang-p-tan_binary64_14866 hang-m0-tan_binary64_14865 hang-p0-tan_binary64_14864 hang-0m-tan_binary64_14863 hang-0p-tan_binary64_14862 tan-+PI/2_binary64_14861 tan-+PI_binary64_14860 tan-PI_binary64_14859 tan-PI/3_binary64_14858 tan-PI/4_binary64_14857 tan-PI/6_binary64_14856 cos-+PI/2_binary64_14855 cos-+PI_binary64_14854 cos-PI_binary64_14853 cos-PI/2_binary64_14852 cos-PI/3_binary64_14851 cos-PI/4_binary64_14850 cos-PI/6_binary64_14849 sin-+PI/2_binary64_14848 sin-+PI_binary64_14847 sin-PI_binary64_14846 sin-PI/2_binary64_14845 sin-PI/3_binary64_14844 sin-PI/4_binary64_14843 sin-PI/6_binary64_14842 sub-1-sin_binary64_14841 sub-1-cos_binary64_14840 -1-add-sin_binary64_14839 -1-add-cos_binary64_14838 1-sub-sin_binary64_14837 1-sub-cos_binary64_14836 cos-sin-sum_binary64_14835 log-E_binary64_14831 log-pow_binary64_14830 log-rec_binary64_14829 pow-base-0_binary64_14825 unpow1/3_binary64_14808 exp-to-pow_binary64_14803 pow-base-1_binary64_14801 unpow0_binary64_14800 unpow-1_binary64_14798 exp-lft-cube_binary64_14797 exp-cbrt_binary64_14795 exp-sqrt_binary64_14794 div-exp_binary64_14792 rec-exp_binary64_14791 exp-diff_binary64_14789 exp-neg_binary64_14788 exp-sum_binary64_14787 e-exp-1_binary64_14786 exp-1-e_binary64_14784 exp-0_binary64_14783 rem-log-exp_binary64_14782 rem-exp-log_binary64_14781 cube-neg_binary64_14768 rem-3cbrt-rft_binary64_14767 rem-3cbrt-lft_binary64_14766 rem-cbrt-cube_binary64_14765 rem-cube-cbrt_binary64_14764 sqr-abs_binary64_14756 sqr-neg_binary64_14755 rem-square-sqrt_binary64_14753 div-sub_binary64_14746 mul-1-neg_binary64_14733 mul0-rgt_binary64_14724 mul0-lft_binary64_14723 div0_binary64_14722 *-inverses_binary64_14721 +-inverses_binary64_14720 lft-mult-inverse_binary64_14719 rgt-mult-inverse_binary64_14718 difference-of-sqr--1_binary64_14712 difference-of-sqr-1_binary64_14711 difference-of-squares_binary64_14710 cancel-sign-sub_binary64_14706 distribute-neg-frac_binary64_14705 distribute-frac-neg_binary64_14704 distribute-neg-out_binary64_14703 distribute-lft-out_binary64_14692
Counts
38 → 15
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070405
1154369
2388369
3847369
41882369
52019369
62502369
73298369
84203369
94479369
104974369

prune11.0ms (0.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New15015
Fresh000
Picked011
Done022
Total15318
Error
0.0b
Counts
18 → 3
Compiler

Compiled 153 to 103 computations (32.7% saved)

regimes73.0ms (3.2%)

Accuracy

Total 0.0b remaining (90.9%)

Threshold costs 0.0b (90.9%)

Compiler

Compiled 501 to 387 computations (22.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64_14671
sub-neg_binary64_14734
neg-mul-1_binary64_14737 neg-sub0_binary64_14736 *-commutative_binary64_14672
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_15001 if-if-and_binary64_15000 if-if-or-not_binary64_14999 if-if-or_binary64_14998 if-not_binary64_14997 if-same_binary64_14996 if-false_binary64_14995 if-true_binary64_14994 tan-0_binary64_14870 cos-0_binary64_14869 sin-0_binary64_14868 unpow1_binary64_14799 e-exp-1_binary64_14786 1-exp_binary64_14785 exp-1-e_binary64_14784 exp-0_binary64_14783 sqr-abs_binary64_14756 sqr-neg_binary64_14755 unsub-neg_binary64_14735 mul-1-neg_binary64_14733 /-rgt-identity_binary64_14732 *-rgt-identity_binary64_14731 *-lft-identity_binary64_14730 remove-double-neg_binary64_14729 sub0-neg_binary64_14728 --rgt-identity_binary64_14727 +-rgt-identity_binary64_14726 +-lft-identity_binary64_14725 cancel-sign-sub-inv_binary64_14707 cancel-sign-sub_binary64_14706 distribute-neg-frac_binary64_14705 distribute-frac-neg_binary64_14704 distribute-neg-out_binary64_14703 distribute-neg-in_binary64_14702 distribute-rgt-neg-out_binary64_14701 distribute-lft-neg-out_binary64_14700 distribute-rgt-neg-in_binary64_14699 distribute-lft-neg-in_binary64_14698
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
11114
21614
31814
41914
51914

end0.0ms (0%)

sample654.0ms (29.2%)

Algorithm
intervals
Results
199.0ms8000×body128valid
Compiler

Compiled 189 to 144 computations (23.8% saved)

Profiling

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