Details

Time bar (total: 1.9s)

analyze89.0ms (4.7%)

Algorithm
search
egg-herbie
Rules
associate-*r*_binary64 associate-+l+_binary64 *-commutative_binary64
associate-+r+_binary64
+-commutative_binary64
distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out_binary64 count-2_binary64 associate-*l*_binary64
distribute-rgt-out_binary64
1-exp_binary64
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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01144
12138
24026
35926
46726
56926
66726
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%50%25.1%6
25%31.2%43.8%7
31.2%25%43.8%8
39%17.2%43.8%9
42.9%13.3%43.8%10
47.2%9%43.8%11
49.4%6.8%43.8%12
51.6%4.6%43.8%13
52.7%3.5%43.8%14
Compiler

Compiled 16 to 8 computations (50% saved)

sample14.0ms (0.8%)

Algorithm
intervals
Results
7.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 31 to 17 computations (45.2% saved)

simplify10.0ms (0.5%)

Algorithm
egg-herbie
Rules
associate-*r*_binary64 associate-+l+_binary64 *-commutative_binary64
associate-+r+_binary64 +-commutative_binary64
distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out_binary64 count-2_binary64 associate-*l*_binary64
1-exp_binary64 distribute-rgt-out_binary64
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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
1 → 1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0822
11419
22413
33513
44013
54113
63913

prune3.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 2
Compiler

Compiled 33 to 21 computations (36.4% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.1b
(*.f64 y (*.f64 y 3))

rewrite26.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 associate-*l*_binary64
add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
add-log-exp_binary64 associate-*r*_binary64 *-commutative_binary64
Counts
1 → 18
Calls

1 calls:

9.0ms
(*.f64 y (*.f64 y 3))
Compiler

Compiled 223 to 120 computations (46.2% saved)

series9.0ms (0.5%)

Error
0.0b
Counts
1 → 3
Calls

1 calls:

7.0ms
(*.f64 y (*.f64 y 3))
Compiler

Compiled 63 to 56 computations (11.1% saved)

simplify70.0ms (3.7%)

Algorithm
egg-herbie
Rules
467×times-frac_binary64
432×distribute-rgt-in_binary64
272×associate-*l*_binary64
221×sqr-pow_binary64
212×associate-*r/_binary64
203×associate-*l/_binary64
193×*-commutative_binary64
159×unswap-sqr_binary64
138×associate-*r*_binary64
134×associate-/l*_binary64
112×cube-prod_binary64 associate-/l/_binary64
111×associate-+l+_binary64
109×pow-sqr_binary64
106×log-prod_binary64
101×log-div_binary64 cube-div_binary64
100×exp-prod_binary64
93×associate-/r/_binary64
88×distribute-rgt-out_binary64
72×associate-+r+_binary64
53×associate-/r*_binary64
49×swap-sqr_binary64
46×distribute-lft-out_binary64
38×distribute-lft-in_binary64
37×unpow3_binary64
32×cube-mult_binary64
28×log-pow_binary64
16×pow-plus_binary64
15×*-lft-identity_binary64 +-commutative_binary64
13×distribute-rgt1-in_binary64
12×count-2_binary64
10×*-rgt-identity_binary64
prod-exp_binary64 distribute-lft1-in_binary64
exp-sqrt_binary64
cube-unmult_binary64
exp-lft-cube_binary64 sub-neg_binary64
unpow2_binary64 exp-lft-sqr_binary64 /-rgt-identity_binary64
log-rec_binary64 unpow1/2_binary64 unpow1_binary64 1-exp_binary64 rem-sqrt-square_binary64
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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-cbrt_binary64 div-exp_binary64 rec-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 mul-1-neg_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
21 → 17
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036213
183177
2240168
3432166
4643166
51105166
62691166
74997166
84830166

prune15.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New13417
Fresh101
Picked011
Done000
Total14519
Error
0.0b
Counts
19 → 5
Compiler

Compiled 192 to 111 computations (42.2% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.2b
(*.f64 3 (*.f64 y y))

rewrite27.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 add-sqr-sqrt_binary64 associate-*l*_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64
add-log-exp_binary64 unswap-sqr_binary64 associate-*r*_binary64 *-commutative_binary64
Counts
1 → 19
Calls

1 calls:

6.0ms
(*.f64 3 (*.f64 y y))
Compiler

Compiled 236 to 119 computations (49.6% saved)

series9.0ms (0.5%)

Error
0.0b
Counts
1 → 3
Calls

1 calls:

8.0ms
(*.f64 3 (*.f64 y y))
Compiler

Compiled 63 to 56 computations (11.1% saved)

simplify72.0ms (3.8%)

Algorithm
egg-herbie
Rules
701×associate-/l/_binary64
568×associate-/r/_binary64
384×distribute-rgt-in_binary64
347×distribute-lft-in_binary64
212×*-commutative_binary64
196×sqr-pow_binary64
171×times-frac_binary64
165×associate-*l*_binary64
124×unswap-sqr_binary64
122×associate-*r*_binary64
120×associate-/l*_binary64
116×associate-+l+_binary64
95×pow-sqr_binary64
88×distribute-rgt-out_binary64
73×associate-+r+_binary64
69×exp-prod_binary64
61×log-prod_binary64
59×cube-prod_binary64
48×distribute-lft-out_binary64 associate-/r*_binary64
42×log-div_binary64
39×associate-*r/_binary64
30×count-2_binary64
27×log-pow_binary64
26×unpow3_binary64
21×cube-mult_binary64
19×associate-*l/_binary64
18×swap-sqr_binary64
17×pow-plus_binary64 *-lft-identity_binary64
16×+-commutative_binary64
13×distribute-rgt1-in_binary64
10×*-rgt-identity_binary64
distribute-lft1-in_binary64
prod-exp_binary64 cube-unmult_binary64
/-rgt-identity_binary64
unpow2_binary64 exp-lft-cube_binary64
unpow1/2_binary64 unpow1_binary64 1-exp_binary64 rem-sqrt-square_binary64
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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-rec_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
22 → 11
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037225
174189
2172180
3415180
4626180
51022180
61992180
74963180
84886180

prune11.0ms (0.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New11011
Fresh033
Picked011
Done011
Total11516
Error
0.0b
Counts
16 → 5
Compiler

Compiled 123 to 81 computations (34.1% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 3 (*.f64 y y))
0.4b
(*.f64 (sqrt.f64 (*.f64 3 (*.f64 y y))) (sqrt.f64 (*.f64 3 (*.f64 y y))))
20.7b
(sqrt.f64 (*.f64 3 (*.f64 y y)))
20.7b
(sqrt.f64 (*.f64 3 (*.f64 y y)))

rewrite127.0ms (6.7%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
148×pow1_binary64
80×pow-prod-down_binary64
66×sqrt-pow1_binary64
17×pow-prod-up_binary64
14×pow1/2_binary64
12×add-sqr-sqrt_binary64
11×add-exp-log_binary64 add-cbrt-cube_binary64 pow-sqr_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64
associate-*l*_binary64
sqrt-prod_binary64
associate-*r*_binary64
add-log-exp_binary64 prod-exp_binary64 cbrt-unprod_binary64 swap-sqr_binary64
unswap-sqr_binary64 *-commutative_binary64
pow2_binary64 pow-plus_binary64 sqrt-unprod_binary64 rem-square-sqrt_binary64
Counts
4 → 109
Calls

4 calls:

13.0ms
(*.f64 (sqrt.f64 (*.f64 3 (*.f64 y y))) (sqrt.f64 (*.f64 3 (*.f64 y y))))
5.0ms
(*.f64 3 (*.f64 y y))
4.0ms
(sqrt.f64 (*.f64 3 (*.f64 y y)))
4.0ms
(sqrt.f64 (*.f64 3 (*.f64 y y)))
Compiler

Compiled 1588 to 854 computations (46.2% saved)

series46.0ms (2.4%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

11.0ms
(*.f64 (sqrt.f64 (*.f64 3 (*.f64 y y))) (sqrt.f64 (*.f64 3 (*.f64 y y))))
8.0ms
(sqrt.f64 (*.f64 3 (*.f64 y y)))
8.0ms
(sqrt.f64 (*.f64 3 (*.f64 y y)))
8.0ms
(*.f64 3 (*.f64 y y))
Compiler

Compiled 455 to 360 computations (20.9% saved)

simplify114.0ms (6.1%)

Algorithm
egg-herbie
Rules
545×associate-*r*_binary64
378×unswap-sqr_binary64
317×sqr-pow_binary64
282×associate-/l*_binary64
225×associate-/l/_binary64
197×associate-/r/_binary64
196×log-prod_binary64
134×distribute-rgt-in_binary64 *-commutative_binary64
123×exp-prod_binary64
115×pow-sqr_binary64
108×distribute-lft-in_binary64
93×swap-sqr_binary64
92×cube-prod_binary64
90×+-commutative_binary64
86×associate-*l*_binary64
68×distribute-lft-out_binary64
59×log-div_binary64
55×associate-+l+_binary64
52×associate-+r+_binary64
42×distribute-rgt-out_binary64
39×times-frac_binary64
37×pow-plus_binary64
36×associate-*r/_binary64
35×log-pow_binary64 rem-sqrt-square_binary64
32×unpow3_binary64
29×*-lft-identity_binary64 distribute-rgt-neg-in_binary64
27×cube-mult_binary64
23×distribute-lft-neg-in_binary64 count-2_binary64
18×associate-/r*_binary64
17×neg-sub0_binary64
15×neg-mul-1_binary64
13×sub-neg_binary64 *-rgt-identity_binary64
unpow1/2_binary64 cube-unmult_binary64
unpow2_binary64 prod-exp_binary64
cube-div_binary64 cancel-sign-sub-inv_binary64
unpow1_binary64 distribute-rgt1-in_binary64
exp-lft-cube_binary64 rem-square-sqrt_binary64 unsub-neg_binary64
log-rec_binary64 mul-1-neg_binary64 mul0-rgt_binary64 mul0-lft_binary64 distribute-lft-neg-out_binary64 distribute-lft1-in_binary64
exp-sqrt_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 /-rgt-identity_binary64 sub0-neg_binary64 --rgt-identity_binary64 associate-+l-_binary64
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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 div-exp_binary64 rec-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 div-sub_binary64 remove-double-neg_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate-*l/_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+r-_binary64
Counts
121 → 88
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0771061
1134907
2402884
31226871
42319772
53072772
64889772
74997772

prune39.0ms (2.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New86288
Fresh202
Picked101
Done022
Total89493
Error
0b
Counts
93 → 4
Compiler

Compiled 586 to 331 computations (43.5% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 3 (*.f64 y y))
0.4b
(*.f64 (sqrt.f64 (*.f64 3 (*.f64 y y))) (*.f64 (sqrt.f64 3) (fabs.f64 y)))
0.4b
(*.f64 (sqrt.f64 3) (fabs.f64 y))
20.7b
(sqrt.f64 (*.f64 3 (*.f64 y y)))

rewrite99.0ms (5.3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
22×pow1_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64
14×add-sqr-sqrt_binary64
13×associate-*l*_binary64
10×pow-prod-down_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64
prod-exp_binary64 cbrt-unprod_binary64
sqrt-prod_binary64
associate-*r*_binary64
add-log-exp_binary64
sqrt-pow1_binary64 unswap-sqr_binary64 *-commutative_binary64
pow1/2_binary64
Counts
4 → 72
Calls

4 calls:

10.0ms
(*.f64 (sqrt.f64 (*.f64 3 (*.f64 y y))) (*.f64 (sqrt.f64 3) (fabs.f64 y)))
6.0ms
(*.f64 3 (*.f64 y y))
5.0ms
(*.f64 (sqrt.f64 3) (fabs.f64 y))
4.0ms
(sqrt.f64 (*.f64 3 (*.f64 y y)))
Compiler

Compiled 1384 to 784 computations (43.4% saved)

series46.0ms (2.4%)

Error
0b
Counts
4 → 12
Calls

4 calls:

15.0ms
(*.f64 (sqrt.f64 (*.f64 3 (*.f64 y y))) (*.f64 (sqrt.f64 3) (fabs.f64 y)))
8.0ms
(sqrt.f64 (*.f64 3 (*.f64 y y)))
8.0ms
(*.f64 3 (*.f64 y y))
8.0ms
(*.f64 (sqrt.f64 3) (fabs.f64 y))
Compiler

Compiled 452 to 365 computations (19.2% saved)

simplify161.0ms (8.6%)

Algorithm
egg-herbie
Rules
395×associate-/l/_binary64
366×*-commutative_binary64
364×unswap-sqr_binary64
352×sqr-pow_binary64
291×distribute-rgt-in_binary64
247×distribute-lft-in_binary64
206×log-prod_binary64
183×associate-*l*_binary64
159×associate-*r*_binary64
146×pow-sqr_binary64
135×log-div_binary64
118×associate-/l*_binary64
106×exp-prod_binary64
105×cube-prod_binary64
80×distribute-lft-out_binary64
76×swap-sqr_binary64
69×+-commutative_binary64
56×times-frac_binary64
51×associate-+l+_binary64
46×distribute-rgt-neg-in_binary64
45×associate-/r/_binary64
44×associate-*r/_binary64
40×distribute-rgt-out_binary64
39×distribute-lft-neg-in_binary64
38×associate-/r*_binary64
36×associate-+r+_binary64
30×rem-sqrt-square_binary64
28×unpow3_binary64
25×cube-mult_binary64 *-rgt-identity_binary64
22×unsub-neg_binary64 *-lft-identity_binary64
18×log-pow_binary64 pow-plus_binary64 neg-sub0_binary64 sub-neg_binary64
15×count-2_binary64
14×neg-mul-1_binary64
13×cancel-sign-sub-inv_binary64
12×unpow1/2_binary64
11×associate-*l/_binary64
prod-exp_binary64 cube-div_binary64 distribute-neg-frac_binary64 distribute-rgt1-in_binary64
cube-unmult_binary64
log-rec_binary64 mul0-rgt_binary64 mul0-lft_binary64
unpow2_binary64 unpow1_binary64
mul-1-neg_binary64
exp-lft-cube_binary64 distribute-lft1-in_binary64
exp-sqrt_binary64 rem-square-sqrt_binary64 /-rgt-identity_binary64 sub0-neg_binary64 --rgt-identity_binary64 distribute-lft-neg-out_binary64 associate-+l-_binary64
exp-lft-sqr_binary64 1-exp_binary64 exp-1-e_binary64 sqr-abs_binary64
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 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-cbrt_binary64 div-exp_binary64 rec-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-neg_binary64 div-sub_binary64 remove-double-neg_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+r-_binary64
Counts
84 → 52
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
01011085
1207987
2706976
31222976
42112948
53027948
64895948
74928944
84963944
94919944

prune43.0ms (2.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New52052
Fresh011
Picked011
Done022
Total52456
Error
0b
Counts
56 → 4
Compiler

Compiled 637 to 408 computations (35.9% saved)

regimes266.0ms (14.1%)

Accuracy

Total 0.1b remaining (85.6%)

Threshold costs 0.1b (85.6%)

Compiler

Compiled 3057 to 2416 computations (21% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
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 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 sqr-abs_binary64 sqr-neg_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11113
21113

end1.0ms (0%)

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample556.0ms (29.5%)

Algorithm
intervals
Results
228.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 83 to 69 computations (16.9% saved)

Profiling

Loading profile data...