Details

Time bar (total: 3.8s)

analyze523.0ms

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
10.0ms256×body128valid
1.0ms15×body128invalid

simplify254.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (248.0ms)

IterNodesCost
0512730

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 27.2b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.7b
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
26.6b
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re 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×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)))

series277.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
200.0ms
(/.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 (28.0ms)

IterNodesCost
049761673
149761673

prune63.0ms

Filtered
39 candidates to 49 candidates (-25.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New41849
Fresh000
Picked101
Done000
Total42850

Merged error: 26.4b

Counts
50 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.7b
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
16.5b
(/.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))))
31.4b
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
31.4b
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

rewrite33.0ms

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))
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)))

series433.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
252.0ms
(/.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))))
51.0ms
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
51.0ms
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

simplify81.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049382891
149382891

prune110.0ms

Filtered
79 candidates to 97 candidates (-22.8%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New92597
Fresh257
Picked101
Done000
Total9510105

Merged error: 23.9b

Counts
105 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

0.7b
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
16.6b
(*.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))))
31.4b
(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
31.4b
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

rewrite53.0ms

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
11×add-exp-log_binary64
9×add-cbrt-cube_binary64
8×pow1_binary64 distribute-lft-out_binary64 unpow-prod-down_binary64
6×add-log-exp_binary64 sqrt-div_binary64
5×unswap-sqr_binary64
3×flip3-+_binary64 flip3--_binary64 associate-*l*_binary64 prod-exp_binary64 flip--_binary64 flip-+_binary64
2×pow1/2_binary64 cbrt-unprod_binary64 associate-/r/_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 frac-times_binary64 associate-*l/_binary64
1×pow-prod-down_binary64 sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 associate-*r/_binary64 rec-exp_binary64 un-div-inv_binary64 div-inv_binary64 div-exp_binary64 *-commutative_binary64
Counts
4 → 101
Calls
4 calls:
4.0ms
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
24.0ms
(*.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))))
8.0ms
(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)))

series426.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
253.0ms
(*.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))))
46.0ms
(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
51.0ms
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

simplify75.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
051952882

prune121.0ms

Filtered
78 candidates to 113 candidates (-44.9%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1130113
Fresh099
Picked011
Done000
Total11310123

Merged error: 23.9b

Counts
123 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

0.7b
(-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))
16.6b
(/.f64 (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))) (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)))
31.4b
(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
31.4b
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity_binary64
28×sqrt-prod_binary64
25×add-sqr-sqrt_binary64
24×times-frac_binary64
23×add-cube-cbrt_binary64
10×distribute-lft-out_binary64 unpow-prod-down_binary64
8×associate-/l*_binary64
6×add-log-exp_binary64 pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 sqrt-div_binary64
3×flip3-+_binary64 associate-/r*_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 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
4 → 94
Calls
4 calls:
4.0ms
(-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))
16.0ms
(/.f64 (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))) (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)))
9.0ms
(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
5.0ms
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

series330.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))
167.0ms
(/.f64 (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))) (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)))
43.0ms
(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
44.0ms
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

simplify81.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049753259
149753259

prune111.0ms

Filtered
75 candidates to 106 candidates (-41.3%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1060106
Fresh088
Picked011
Done011
Total10610116

Merged error: 23.9b

Counts
116 → 10

regimes119.0ms

Accuracy

26% (2.2b remaining)

Error of 25.5b against oracle of 23.4b and baseline of 26.3b

bsearch1.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
060106
160106

end0.0ms

sample550.0ms

Algorithm
intervals
Results
320.0ms8000×body128valid
18.0ms477×body128invalid

Profiling

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