Details

Time bar (total: 2.8s)

analyze565.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
6.2%93.6%0.2%8
25%74.9%0.2%9
28.1%71.7%0.2%10
29.6%70.2%0.2%11
53%46.8%0.2%12
71.3%28.5%0.2%13
71.7%28.1%0.2%14

sample25.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
0.0ms9×body80invalid

simplify195.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (192.0ms)

IterNodesCost
0482115
1482115

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.0b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.7b
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
27.5b
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
9×times-frac_binary64
4×add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
3×associate-/r*_binary64 associate-/l*_binary64
2×associate-/l/_binary64 pow1_binary64 flip3--_binary64 associate-/r/_binary64 flip--_binary64
1×flip3-+_binary64 sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 flip-+_binary64
Counts
2 → 43
Calls
2 calls:
4.0ms
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
9.0ms
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

series43.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
30.0ms
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

simplify47.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05676845

prune81.0ms

Filtered
39 candidates to 49 candidates (-25.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New42749
Fresh000
Picked101
Done000
Total43750

Merged error: 27.1b

Counts
50 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
17.1b
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))
30.0b
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
30.0b
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt_binary64
21×*-un-lft-identity_binary64 add-cube-cbrt_binary64
18×times-frac_binary64 sqrt-prod_binary64
6×associate-/r*_binary64 add-log-exp_binary64 pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 sqrt-div_binary64
3×flip3-+_binary64 associate-/l*_binary64 flip-+_binary64
2×associate-/l/_binary64 pow1/2_binary64 flip3--_binary64 associate-/r/_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 flip--_binary64
1×sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
4 → 85
Calls
4 calls:
6.0ms
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
10.0ms
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))
4.0ms
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
4.0ms
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

series61.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
38.0ms
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))
6.0ms
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
6.0ms
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

simplify51.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
057601553

prune108.0ms

Filtered
77 candidates to 97 candidates (-26.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New93497
Fresh156
Picked011
Done000
Total9410104

Merged error: 25.0b

Counts
104 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.7b
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
17.1b
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))
30.0b
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
30.0b
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt_binary64
21×*-un-lft-identity_binary64 add-cube-cbrt_binary64
18×times-frac_binary64 sqrt-prod_binary64
6×associate-/r*_binary64 add-log-exp_binary64 pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 sqrt-div_binary64
3×flip3-+_binary64 associate-/l*_binary64 flip-+_binary64
2×associate-/l/_binary64 pow1/2_binary64 flip3--_binary64 associate-/r/_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 flip--_binary64
1×sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
4 → 85
Calls
4 calls:
4.0ms
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
12.0ms
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))
4.0ms
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
4.0ms
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

series61.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
38.0ms
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))
6.0ms
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
6.0ms
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

simplify52.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
057601553

prune108.0ms

Filtered
77 candidates to 97 candidates (-26.0%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New95297
Fresh268
Picked011
Done011
Total9710107

Merged error: 25.0b

Counts
107 → 10

localize12.0ms

Local error

Found 3 expressions with local error:

0.7b
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
0.8b
(/.f64 1 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
26.8b
(*.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (/.f64 1 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt_binary64
20×*-un-lft-identity_binary64 times-frac_binary64
19×add-cube-cbrt_binary64
16×add-exp-log_binary64
15×associate-*r*_binary64
10×add-cbrt-cube_binary64
6×pow1_binary64
5×add-log-exp_binary64
4×associate-/r/_binary64 prod-exp_binary64 div-exp_binary64
3×associate-/r*_binary64 flip3--_binary64 associate-*l*_binary64 unswap-sqr_binary64 associate-/l*_binary64 flip--_binary64
2×flip3-+_binary64 cbrt-unprod_binary64 1-exp_binary64 cbrt-undiv_binary64 rec-exp_binary64 div-inv_binary64 flip-+_binary64 frac-times_binary64 associate-*l/_binary64
1×pow-prod-down_binary64 sub-neg_binary64 diff-log_binary64 associate-*r/_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 un-div-inv_binary64 pow-flip_binary64 *-commutative_binary64
Counts
3 → 86
Calls
3 calls:
4.0ms
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
6.0ms
(/.f64 1 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
18.0ms
(*.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (/.f64 1 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))

series48.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
6.0ms
(/.f64 1 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
30.0ms
(*.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (/.f64 1 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))

simplify52.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
055121326

prune62.0ms

Filtered
60 candidates to 95 candidates (-58.3%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New95095
Fresh077
Picked011
Done022
Total9510105

Merged error: 25.0b

Counts
105 → 10

regimes464.0ms

Accuracy

0% (3.0b remaining)

Error of 26.4b against oracle of 23.4b and baseline of 26.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04225
14225

end0.0ms

sample624.0ms

Algorithm
intervals
Results
374.0ms8000×body80valid
22.0ms435×body80invalid

Profiling

Loading profile data...