Details

Time bar (total: 2.3s)

analyze513.0ms

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

sample22.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
1.0ms14×body80invalid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
01515
11515

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 24.5b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
0.5b
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
24.0b
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
9×times-frac_binary64
7×add-log-exp_binary64
5×add-exp-log_binary64 add-cbrt-cube_binary64
4×flip3-+_binary64 flip-+_binary64
3×associate-/r*_binary64 pow1_binary64 associate-/l*_binary64
2×associate-/l/_binary64 associate-/r/_binary64 +-commutative_binary64 sum-log_binary64
1×cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
3 → 53
Calls
3 calls:
4.0ms
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
4.0ms
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
9.0ms
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

series51.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
11.0ms
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
34.0ms
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

simplify51.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05334951

prune69.0ms

Filtered
48 candidates to 62 candidates (-29.2%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New521062
Fresh000
Picked101
Done000
Total531063

Merged error: 23.8b

Counts
63 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
14.3b
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))
27.7b
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
27.7b
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

rewrite25.0ms

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
5×flip3-+_binary64 flip-+_binary64
3×associate-/l*_binary64
2×associate-/l/_binary64 pow1/2_binary64 associate-/r/_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64
1×cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 sum-log_binary64
Counts
4 → 84
Calls
4 calls:
4.0ms
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
10.0ms
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im 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)))

series63.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
39.0ms
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im 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)))
7.0ms
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

simplify68.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
055031525

prune68.0ms

Filtered
76 candidates to 96 candidates (-26.3%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New92496
Fresh459
Picked011
Done000
Total9610106

Merged error: 21.6b

Counts
106 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
14.3b
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))
27.7b
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
27.7b
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

rewrite25.0ms

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
5×flip3-+_binary64 flip-+_binary64
3×associate-/l*_binary64
2×associate-/l/_binary64 pow1/2_binary64 associate-/r/_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64
1×cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 sum-log_binary64
Counts
4 → 84
Calls
4 calls:
4.0ms
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
10.0ms
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im 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)))

series66.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
41.0ms
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im 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)))
7.0ms
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

simplify65.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
055031525

prune64.0ms

Filtered
76 candidates to 96 candidates (-26.3%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New96096
Fresh088
Picked011
Done011
Total9610106

Merged error: 21.6b

Counts
106 → 10

localize23.0ms

Local error

Found 4 expressions with local error:

14.9b
(cbrt.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)))
28.8b
(cbrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
28.8b
(cbrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
28.8b
(cbrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod_binary64
8×cbrt-div_binary64 *-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
4×flip3-+_binary64 add-log-exp_binary64 pow1_binary64 pow1/3_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip-+_binary64
Counts
4 → 52
Calls
4 calls:
7.0ms
(cbrt.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)))
7.0ms
(cbrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
10.0ms
(cbrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
8.0ms
(cbrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

series102.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(cbrt.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)))
20.0ms
(cbrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
20.0ms
(cbrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
25.0ms
(cbrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

simplify62.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05827782

prune36.0ms

Filtered
61 candidates to 64 candidates (-4.9%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New64064
Fresh077
Picked011
Done022
Total641074

Merged error: 21.6b

Counts
74 → 10

regimes230.0ms

Accuracy

0% (3.0b remaining)

Error of 26.2b against oracle of 23.2b and baseline of 26.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01725
11725

end0.0ms

sample583.0ms

Algorithm
intervals
Results
348.0ms8000×body80valid
23.0ms482×body80invalid

Profiling

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