Details

Time bar (total: 2.9s)

analyze527.0ms

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
1.0ms17×body80invalid

simplify201.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (198.0ms)

IterNodesCost
0482115
1482115

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 24.2b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.4b
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
23.8b
(/.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)))

series50.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
35.0ms
(/.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: 23.5b

Counts
50 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
14.6b
(/.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))))
27.9b
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
27.9b
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

rewrite28.0ms

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)))
5.0ms
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

series73.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
45.0ms
(/.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))))
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)))

simplify53.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
057601553

prune112.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New91697
Fresh336
Picked101
Done000
Total959104

Merged error: 21.2b

Counts
104 → 9

localize219.0ms

Local error

Found 4 expressions with local error:

0.4b
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
14.8b
(*.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (/.f64 1 (sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))))
27.9b
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
27.9b
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt_binary64
24×associate-*r*_binary64
22×*-un-lft-identity_binary64 times-frac_binary64
20×add-cube-cbrt_binary64
17×sqrt-prod_binary64
13×add-exp-log_binary64
9×add-cbrt-cube_binary64
8×pow1_binary64
6×add-log-exp_binary64 sqrt-div_binary64
5×unswap-sqr_binary64
4×prod-exp_binary64
3×flip3-+_binary64 flip3--_binary64 associate-*l*_binary64 flip--_binary64 flip-+_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 sub-neg_binary64 diff-log_binary64 1-exp_binary64 cbrt-undiv_binary64 associate-*r/_binary64 rec-exp_binary64 un-div-inv_binary64 div-inv_binary64 *-commutative_binary64
Counts
4 → 94
Calls
4 calls:
4.0ms
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
17.0ms
(*.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (/.f64 1 (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)))

series77.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
49.0ms
(*.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (/.f64 1 (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)))

simplify49.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
050811499

prune105.0ms

Filtered
77 candidates to 106 candidates (-37.7%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1060106
Fresh088
Picked011
Done000
Total1069115

Merged error: 21.2b

Counts
115 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

14.6b
(/.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))))
27.9b
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
27.9b
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
27.9b
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt_binary64
22×*-un-lft-identity_binary64 add-cube-cbrt_binary64
21×sqrt-prod_binary64
18×times-frac_binary64
8×sqrt-div_binary64
7×pow1_binary64
6×associate-/r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
4×flip3-+_binary64 add-log-exp_binary64 flip-+_binary64
3×pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 associate-/l*_binary64
2×associate-/l/_binary64 associate-/r/_binary64
1×flip3--_binary64 cbrt-undiv_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 flip--_binary64
Counts
4 → 89
Calls
4 calls:
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)))
4.0ms
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

series70.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(/.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))))
8.0ms
(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)))
8.0ms
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

simplify52.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
053881572

prune82.0ms

Filtered
81 candidates to 101 candidates (-24.7%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New992101
Fresh167
Picked011
Done011
Total10010110

Merged error: 21.2b

Counts
110 → 10

regimes313.0ms

Accuracy

8.9% (2.7b remaining)

Error of 26.2b against oracle of 23.5b and baseline of 26.4b

bsearch18.0ms

Steps
ItersRangePoint
9
2.9969177490975104e+118
9.486301160583267e+124
5.1795073910038136e+123

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05642
15642

end0.0ms

sample590.0ms

Algorithm
intervals
Results
353.0ms8000×body80valid
22.0ms471×body80invalid

Profiling

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