Details

Time bar (total: 3.0s)

analyze524.0ms

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

sample20.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
0.0ms12×body80invalid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
01830
11830

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 25.6b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.7b
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
25.0b
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

rewrite15.0ms

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×flip3-+_binary64 associate-/r*_binary64 associate-/l*_binary64 flip-+_binary64
2×associate-/l/_binary64 pow1_binary64 associate-/r/_binary64
1×cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 sum-log_binary64
Counts
2 → 42
Calls
2 calls:
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)))

series139.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
102.0ms
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

simplify58.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
050291623

prune58.0ms

Filtered
38 candidates to 48 candidates (-26.3%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New39948
Fresh000
Picked101
Done000
Total40949

Merged error: 24.8b

Counts
49 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
16.1b
(/.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))))
29.5b
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
29.5b
(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)))

series219.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
131.0ms
(/.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))))
26.0ms
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
26.0ms
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

simplify91.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049942839
149942839

prune112.0ms

Filtered
78 candidates to 96 candidates (-23.1%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New90696
Fresh358
Picked101
Done000
Total9411105

Merged error: 21.8b

Counts
105 → 11

localize19.0ms

Local error

Found 4 expressions with local error:

0.7b
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
16.2b
(*.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))))
29.5b
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
29.5b
(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity_binary64
36×add-sqr-sqrt_binary64
30×associate-*r*_binary64
28×times-frac_binary64
25×sqrt-prod_binary64
22×add-cube-cbrt_binary64
13×add-exp-log_binary64
9×add-cbrt-cube_binary64
8×pow1_binary64 distribute-lft-out_binary64 unpow-prod-down_binary64
6×flip3-+_binary64 add-log-exp_binary64 flip-+_binary64 sqrt-div_binary64
5×unswap-sqr_binary64
4×prod-exp_binary64
3×associate-*l*_binary64
2×pow1/2_binary64 cbrt-unprod_binary64 associate-/r/_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 div-exp_binary64 frac-times_binary64 associate-*l/_binary64
1×pow-prod-down_binary64 1-exp_binary64 cbrt-undiv_binary64 associate-*r/_binary64 rec-exp_binary64 un-div-inv_binary64 div-inv_binary64 +-commutative_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 102
Calls
4 calls:
4.0ms
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
22.0ms
(*.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))))
4.0ms
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
8.0ms
(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))

series219.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
129.0ms
(*.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))))
25.0ms
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
25.0ms
(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))

simplify98.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
052742904

prune130.0ms

Filtered
78 candidates to 114 candidates (-46.2%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1131114
Fresh1910
Picked011
Done000
Total11411125

Merged error: 21.8b

Counts
125 → 11

localize12.0ms

Local error

Found 3 expressions with local error:

0.7b
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
0.7b
(/.f64 1 (/.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)) (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))))
24.5b
(/.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)) (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac_binary64
55×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
18×associate-/r*_binary64
16×add-exp-log_binary64
11×associate-/r/_binary64
10×add-cbrt-cube_binary64
8×div-exp_binary64
7×flip3-+_binary64 flip-+_binary64
6×associate-/l*_binary64 div-inv_binary64
5×add-log-exp_binary64
4×pow1_binary64 cbrt-undiv_binary64
2×associate-/l/_binary64 1-exp_binary64 clear-num_binary64 frac-2neg_binary64 rec-exp_binary64
1×inv-pow_binary64 +-commutative_binary64 pow-flip_binary64 sum-log_binary64
Counts
3 → 126
Calls
3 calls:
4.0ms
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
11.0ms
(/.f64 1 (/.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)) (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))))
10.0ms
(/.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)) (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)))

series220.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
118.0ms
(/.f64 1 (/.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)) (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))))
65.0ms
(/.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)) (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)))

simplify126.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
050055697

prune118.0ms

Filtered
95 candidates to 135 candidates (-42.1%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1350135
Fresh099
Picked011
Done011
Total13511146

Merged error: 21.8b

Counts
146 → 11

regimes126.0ms

Accuracy

0% (3.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03151
13151

end0.0ms

sample587.0ms

Algorithm
intervals
Results
350.0ms8000×body80valid
21.0ms497×body80invalid

Profiling

Loading profile data...