Details

Time bar (total: 4.9s)

analyze517.0ms

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

sample19.0ms

Algorithm
intervals
Results
10.0ms256×body128valid
1.0ms14×body128invalid

simplify259.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (250.0ms)

IterNodesCost
0512730

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 26.3b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
25.7b
(/.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)))

series282.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(-.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)))

simplify50.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
049761673
149761673

prune54.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New45449
Fresh000
Picked011
Done000
Total45550

Merged error: 25.5b

Counts
50 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (/.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)))) (sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))
15.1b
(/.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))))
28.3b
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
28.3b
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

rewrite84.0ms

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×associate-/r*_binary64
11×flip3-+_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip-+_binary64
9×div-inv_binary64
6×pow1_binary64
4×add-log-exp_binary64 cbrt-undiv_binary64 div-exp_binary64
3×associate-/l/_binary64 div-sub_binary64
2×pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 clear-num_binary64 frac-2neg_binary64
1×flip3--_binary64 flip--_binary64
Counts
4 → 266
Calls
4 calls:
20.0ms
(/.f64 (/.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)))) (sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))
11.0ms
(/.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)))

series532.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(/.f64 (/.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)))) (sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))
240.0ms
(/.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))))
43.0ms
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
56.0ms
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

simplify226.0ms

Algorithm
egg-herbie
Counts
278 → 278
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
0498217501
1498217501

prune153.0ms

Filtered
151 candidates to 278 candidates (-84.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2744278
Fresh033
Picked101
Done011
Total2758283

Merged error: 24.0b

Counts
283 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))))
15.2b
(/.f64 (sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)))
28.3b
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
28.3b
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac_binary64
100×add-sqr-sqrt_binary64
98×*-un-lft-identity_binary64 add-cube-cbrt_binary64
54×sqrt-prod_binary64
27×associate-/r*_binary64
14×add-exp-log_binary64
11×add-cbrt-cube_binary64 associate-/r/_binary64
9×associate-/l*_binary64
7×pow1_binary64
6×div-inv_binary64 sqrt-div_binary64
5×flip3--_binary64 div-exp_binary64 flip--_binary64
4×add-log-exp_binary64 cbrt-undiv_binary64
3×flip3-+_binary64 flip-+_binary64
2×associate-/l/_binary64 pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 clear-num_binary64 frac-2neg_binary64 rec-exp_binary64
1×inv-pow_binary64 pow-flip_binary64
Counts
4 → 191
Calls
4 calls:
19.0ms
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))))
10.0ms
(/.f64 (sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)))
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)))

series458.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))))
167.0ms
(/.f64 (sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)))
39.0ms
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
46.0ms
(sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

simplify160.0ms

Algorithm
egg-herbie
Counts
203 → 203
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
049598960
149598960

prune192.0ms

Filtered
127 candidates to 203 candidates (-59.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2030203
Fresh066
Picked011
Done011
Total2038211

Merged error: 24.0b

Counts
211 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

7.3b
(sqrt.f64 (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))
7.3b
(sqrt.f64 (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))
25.7b
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
25.7b
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt_binary64
38×times-frac_binary64
34×*-un-lft-identity_binary64 add-cube-cbrt_binary64
30×sqrt-prod_binary64
8×add-exp-log_binary64 add-cbrt-cube_binary64 associate-/r/_binary64
6×associate-/r*_binary64 pow1_binary64 associate-/l*_binary64
4×flip3-+_binary64 associate-/l/_binary64 add-log-exp_binary64 rem-sqrt-square_binary64 div-inv_binary64 flip-+_binary64
2×pow1/2_binary64 flip3--_binary64 cbrt-undiv_binary64 sqrt-pow1_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-exp_binary64 flip--_binary64 sqrt-div_binary64
Counts
4 → 118
Calls
4 calls:
8.0ms
(sqrt.f64 (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))
8.0ms
(sqrt.f64 (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im 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)))
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)))

series848.0ms

Counts
4 → 12
Calls
4 calls:
241.0ms
(sqrt.f64 (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))
243.0ms
(sqrt.f64 (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))
183.0ms
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
181.0ms
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))

simplify81.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
055325218

prune107.0ms

Filtered
108 candidates to 130 candidates (-20.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1300130
Fresh055
Picked011
Done022
Total1308138

Merged error: 24.0b

Counts
138 → 8

regimes117.0ms

Accuracy

-4.2% (3.1b remaining)

Error of 26.0b against oracle of 22.9b and baseline of 25.9b

bsearch31.0ms

Steps
ItersRangePoint
9
7.893330328097678e+146
1.623166018444903e+152
3.40778976921943e+151
4
6.280097503922549e+93
1.1231299536994925e+94
1.0135236429461193e+94

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06591
16591

end0.0ms

sample562.0ms

Algorithm
intervals
Results
322.0ms8000×body128valid
21.0ms482×body128invalid

Profiling

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