Details

Time bar (total: 4.0s)

analyze506.0ms

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

sample18.0ms

Algorithm
intervals
Results
10.0ms256×body128valid
1.0ms14×body128invalid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01830
11830

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 27.8b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
27.4b
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

rewrite17.0ms

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)))

series264.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
183.0ms
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

simplify45.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
050281623

prune58.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New42648
Fresh000
Picked101
Done000
Total43649

Merged error: 26.9b

Counts
49 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
17.8b
(/.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))))
31.1b
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
31.1b
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

rewrite32.0ms

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)))

series405.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
239.0ms
(/.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))))
43.0ms
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
50.0ms
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

simplify75.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049932839
149932839

prune104.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New93396
Fresh055
Picked101
Done000
Total948102

Merged error: 26.3b

Counts
102 → 8

localize13.0ms

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)))))
17.8b
(/.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))))
31.1b
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
31.1b
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

rewrite73.0ms

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
24×associate-*r*_binary64 associate-*l*_binary64
23×add-exp-log_binary64
18×add-cbrt-cube_binary64
15×unswap-sqr_binary64
10×sqrt-div_binary64
8×pow1_binary64
6×flip3-+_binary64 associate-/r*_binary64 associate-/r/_binary64 prod-exp_binary64 div-exp_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 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 → 158
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)))))
13.0ms
(/.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)))

series583.0ms

Counts
4 → 12
Calls
4 calls:
254.0ms
(*.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)))))
232.0ms
(/.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))))
54.0ms
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
43.0ms
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

simplify126.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049776926
149776926

prune125.0ms

Filtered
116 candidates to 170 candidates (-46.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1700170
Fresh077
Picked011
Done000
Total1708178

Merged error: 26.3b

Counts
178 → 8

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b
(+.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))))
27.0b
(/.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)) (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)))

rewrite194.0ms

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
13×add-exp-log_binary64
11×associate-/r/_binary64
10×add-cbrt-cube_binary64
7×flip3-+_binary64 flip-+_binary64
6×associate-/l*_binary64 div-inv_binary64
5×add-log-exp_binary64 div-exp_binary64
4×pow1_binary64 cbrt-undiv_binary64
2×associate-/l/_binary64 clear-num_binary64 frac-2neg_binary64 rec-exp_binary64
1×inv-pow_binary64 +-commutative_binary64 pow-flip_binary64 sum-log_binary64
Counts
3 → 124
Calls
3 calls:
156.0ms
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
12.0ms
(/.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)))

series422.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
246.0ms
(/.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))))
110.0ms
(/.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)) (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)))

simplify110.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
050025637

prune116.0ms

Filtered
95 candidates to 133 candidates (-40.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1330133
Fresh066
Picked011
Done011
Total1338141

Merged error: 26.3b

Counts
141 → 8

regimes94.0ms

Accuracy

0% (3.0b remaining)

Error of 26.4b against oracle of 23.5b and baseline of 26.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02353
12353

end0.0ms

sample585.0ms

Algorithm
intervals
Results
346.0ms8000×body128valid
19.0ms448×body128invalid

Profiling

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