Details

Time bar (total: 2.0s)

analyze36.0ms (1.8%)

Algorithm
search
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
0%99.9%0.1%5
50%50%0.1%6
68.7%31.2%0.1%7
81.2%18.7%0.1%8
89%10.9%0.1%9
92.1%7.8%0.1%10
95.6%4.3%0.1%11
96.4%3.5%0.1%12
98%1.9%0.1%13
98.2%1.7%0.1%14
Compiler

Compiled 10 to 8 computations (20% saved)

sample13.0ms (0.7%)

Algorithm
intervals
Results
7.0ms256×body128valid
Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify280.0ms (14.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (114.0ms)

IterNodesCost
0532913

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 16.0b

Counts
2 → 1
Compiler

Compiled 18 to 14 computations (22.2% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

15.6b
(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))

rewrite12.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
10×add-exp-log_binary64_13929 add-cbrt-cube_binary64_13927
*-un-lft-identity_binary64_13894 add-sqr-sqrt_binary64_13915
times-frac_binary64_13900 associate-/r*_binary64_13840
cbrt-undiv_binary64_13925 div-exp_binary64_13942 add-cube-cbrt_binary64_13926 prod-exp_binary64_13940 cbrt-unprod_binary64_13924
associate-/r/_binary64_13842 distribute-lft-out--_binary64_13848 difference-of-squares_binary64_13863
div-inv_binary64_13891 pow1_binary64_13952 associate-/l*_binary64_13841 flip3--_binary64_13898 add-log-exp_binary64_13930 frac-2neg_binary64_13905 flip--_binary64_13869 clear-num_binary64_13893
Counts
1 → 29
Calls

1 calls:

9.0ms
(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))

series96.0ms (4.8%)

Counts
1 → 3
Calls

1 calls:

96.0ms
(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))

simplify63.0ms (3.2%)

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05803458

prune30.0ms (1.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New27532
Fresh000
Picked011
Done000
Total27633

Merged error: 0b

Counts
33 → 6
Compiler

Compiled 465 to 236 computations (49.2% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
0.2b
(/.f64 1 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))

rewrite36.0ms (1.8%)

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity_binary64_13894
25×times-frac_binary64_13900
12×add-cube-cbrt_binary64_13926 add-sqr-sqrt_binary64_13915
10×distribute-lft-out_binary64_13847
add-exp-log_binary64_13929
associate-/r*_binary64_13840
add-log-exp_binary64_13930 add-cbrt-cube_binary64_13927
associate-/r/_binary64_13842 pow1_binary64_13952 associate-/l*_binary64_13841
flip-+_binary64_13868 div-exp_binary64_13942 flip3-+_binary64_13897 frac-add_binary64_13902
cbrt-undiv_binary64_13925 div-inv_binary64_13891 +-commutative_binary64_13826 inv-pow_binary64_13976 1-exp_binary64_13935 frac-2neg_binary64_13905 clear-num_binary64_13893 rec-exp_binary64_13941 pow-flip_binary64_13965 sum-log_binary64_13982
Counts
2 → 56
Calls

2 calls:

16.0ms
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
15.0ms
(/.f64 1 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))

series107.0ms (5.4%)

Counts
2 → 6
Calls

2 calls:

71.0ms
(/.f64 1 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
36.0ms
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

simplify63.0ms (3.2%)

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
06214983

prune57.0ms (2.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New62062
Fresh044
Picked011
Done011
Total62668

Merged error: 0b

Counts
68 → 6
Compiler

Compiled 949 to 750 computations (21% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 y (-.f64 x y))
6.1b
(*.f64 (*.f64 x 2) (/.f64 y (-.f64 x y)))

rewrite27.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity_binary64_13894 add-sqr-sqrt_binary64_13915
30×times-frac_binary64_13900
21×add-cube-cbrt_binary64_13926 associate-*r*_binary64_13836
16×add-exp-log_binary64_13929 add-cbrt-cube_binary64_13927
pow1_binary64_13952 distribute-lft-out--_binary64_13848 difference-of-squares_binary64_13863
prod-exp_binary64_13940 cbrt-unprod_binary64_13924
associate-/r*_binary64_13840
associate-/r/_binary64_13842
cbrt-undiv_binary64_13925 div-exp_binary64_13942 associate-/l*_binary64_13841 pow-prod-down_binary64_13962
div-inv_binary64_13891 flip3--_binary64_13898 add-log-exp_binary64_13930 flip--_binary64_13869
associate-*r/_binary64_13838 *-commutative_binary64_13827 frac-2neg_binary64_13905 clear-num_binary64_13893 associate-*l*_binary64_13837
Counts
2 → 78
Calls

2 calls:

12.0ms
(*.f64 (*.f64 x 2) (/.f64 y (-.f64 x y)))
6.0ms
(/.f64 y (-.f64 x y))

series155.0ms (7.8%)

Counts
2 → 6
Calls

2 calls:

93.0ms
(*.f64 (*.f64 x 2) (/.f64 y (-.f64 x y)))
62.0ms
(/.f64 y (-.f64 x y))

simplify59.0ms (3%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049321139
149321139

prune51.0ms (2.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New82284
Fresh213
Picked011
Done112
Total85590

Merged error: 0b

Counts
90 → 5
Compiler

Compiled 1252 to 353 computations (71.8% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 x y) y)
6.9b
(/.f64 (*.f64 x 2) (/.f64 (-.f64 x y) y))

rewrite28.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
64×times-frac_binary64_13900
50×*-un-lft-identity_binary64_13894 add-sqr-sqrt_binary64_13915
30×add-cube-cbrt_binary64_13926
22×associate-/r*_binary64_13840
16×add-exp-log_binary64_13929 add-cbrt-cube_binary64_13927
10×distribute-lft-out--_binary64_13848 difference-of-squares_binary64_13863
cbrt-undiv_binary64_13925 div-exp_binary64_13942
associate-/l*_binary64_13841
div-inv_binary64_13891
pow1_binary64_13952 add-log-exp_binary64_13930 prod-exp_binary64_13940 associate-/l/_binary64_13843 frac-2neg_binary64_13905 cbrt-unprod_binary64_13924 clear-num_binary64_13893
associate-/r/_binary64_13842 div-sub_binary64_13899 flip3--_binary64_13898 flip--_binary64_13869
Counts
2 → 96
Calls

2 calls:

10.0ms
(/.f64 (*.f64 x 2) (/.f64 (-.f64 x y) y))
6.0ms
(/.f64 (-.f64 x y) y)

series128.0ms (6.4%)

Counts
2 → 6
Calls

2 calls:

86.0ms
(/.f64 (*.f64 x 2) (/.f64 (-.f64 x y) y))
42.0ms
(/.f64 (-.f64 x y) y)

simplify57.0ms (2.8%)

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
062081605

prune64.0ms (3.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1020102
Fresh022
Picked011
Done022
Total1025107

Merged error: 0b

Counts
107 → 5
Compiler

Compiled 1518 to 485 computations (68.1% saved)

regimes78.0ms (3.9%)

Compiler

Compiled 187 to 136 computations (27.3% saved)

bsearch1.0ms (0%)

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify4.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
037137
137137

end0.0ms (0%)

sample522.0ms (26.2%)

Algorithm
intervals
Results
229.0ms8000×body128valid
Compiler

Compiled 193 to 119 computations (38.3% saved)

Profiling

Loading profile data...