Details

Time bar (total: 2.9s)

analyze560.0ms

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
11.0ms256×body80valid
1.0ms12×body80invalid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
01515
11515

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 27.3b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
0.0b
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
26.7b
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

rewrite20.0ms

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 x.re y.re) (*.f64 x.im y.im))
4.0ms
(+.f64 (*.f64 y.re y.re) (*.f64 y.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)))

series56.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
7.0ms
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
35.0ms
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

simplify52.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05334951

prune102.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New54862
Fresh000
Picked101
Done000
Total55863

Merged error: 26.5b

Counts
63 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(/.f64 (/.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)))) (sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))
16.2b
(/.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))))
29.6b
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
29.6b
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
288×times-frac_binary64
164×add-sqr-sqrt_binary64
162×*-un-lft-identity_binary64 add-cube-cbrt_binary64
156×sqrt-prod_binary64
27×associate-/l*_binary64
22×sqrt-div_binary64
18×associate-/r/_binary64
12×flip3-+_binary64 associate-/r*_binary64 flip-+_binary64
11×add-exp-log_binary64 add-cbrt-cube_binary64
9×div-inv_binary64
6×pow1_binary64
4×add-log-exp_binary64 cbrt-undiv_binary64 div-exp_binary64
3×associate-/l/_binary64
2×pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 clear-num_binary64 frac-2neg_binary64
Counts
4 → 264
Calls
4 calls:
20.0ms
(/.f64 (/.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)))) (sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.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)))

series96.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/.f64 (/.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)))) (sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))
47.0ms
(/.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))))
7.0ms
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
8.0ms
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

simplify93.0ms

Algorithm
egg-herbie
Counts
276 → 276
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049698788
149698788

prune187.0ms

Filtered
150 candidates to 276 candidates (-84.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2724276
Fresh257
Picked011
Done000
Total27410284

Merged error: 24.0b

Counts
284 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))) (/.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)))))
16.2b
(/.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))))
29.6b
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
29.6b
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt_binary64
76×times-frac_binary64
53×*-un-lft-identity_binary64
47×add-cube-cbrt_binary64 sqrt-prod_binary64
28×add-exp-log_binary64
24×associate-*r*_binary64 associate-*l*_binary64
18×add-cbrt-cube_binary64
15×unswap-sqr_binary64
10×sqrt-div_binary64
9×div-exp_binary64
8×pow1_binary64 prod-exp_binary64
6×flip3-+_binary64 associate-/r*_binary64 associate-/r/_binary64 flip-+_binary64
5×cbrt-undiv_binary64
4×add-log-exp_binary64 cbrt-unprod_binary64
3×associate-/l*_binary64 div-inv_binary64
2×associate-/l/_binary64 pow1/2_binary64 1-exp_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 rec-exp_binary64
1×pow-prod-down_binary64 associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 160
Calls
4 calls:
30.0ms
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))) (/.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)))))
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)))

series98.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))) (/.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)))))
43.0ms
(/.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))))
7.0ms
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
8.0ms
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

simplify72.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049893794
149893794

prune153.0ms

Filtered
116 candidates to 172 candidates (-48.3%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1711172
Fresh088
Picked011
Done011
Total17111182

Merged error: 24.0b

Counts
182 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
26.7b
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (*.f64 (sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))))
29.6b
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
29.6b
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
16×sqrt-div_binary64
10×flip3-+_binary64 add-sqr-sqrt_binary64 flip-+_binary64
9×add-exp-log_binary64 add-cbrt-cube_binary64
8×*-un-lft-identity_binary64 add-cube-cbrt_binary64 associate-/r/_binary64
6×add-log-exp_binary64 pow1_binary64 sqrt-prod_binary64
4×frac-times_binary64
3×associate-/l*_binary64 times-frac_binary64
2×associate-/l/_binary64 pow1/2_binary64 cbrt-undiv_binary64 associate-*r/_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 div-exp_binary64 associate-*l/_binary64
1×associate-/r*_binary64 cbrt-unprod_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 div-inv_binary64 +-commutative_binary64 sum-log_binary64
Counts
4 → 72
Calls
4 calls:
5.0ms
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
16.0ms
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (*.f64 (sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.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)))

series55.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
33.0ms
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (*.f64 (sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (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)))
7.0ms
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

simplify81.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
049451086
149451086

prune67.0ms

Filtered
63 candidates to 84 candidates (-33.3%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh088
Picked011
Done022
Total841195

Merged error: 24.0b

Counts
95 → 11

regimes348.0ms

Accuracy

0% (3.1b remaining)

Error of 26.4b against oracle of 23.2b and baseline of 26.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01725
11725

end0.0ms

sample610.0ms

Algorithm
intervals
Results
362.0ms8000×body80valid
23.0ms482×body80invalid

Profiling

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