Details

Time bar (total: 2.2s)

analyze670.0ms

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
0%99.8%0.2%8
6.2%93.6%0.2%9
12.5%87.3%0.2%10
25%74.9%0.2%11
31.2%63.9%4.9%12
39%50.9%10.1%13
44.8%44.4%10.7%14

sample23.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
4.0ms45×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0107
1107

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x.re y.im) (* x.im y.re))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
4.0ms
(+ (* x.re y.im) (* x.im y.re))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(+ (* x.re y.im) (* x.im y.re))

simplify89.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (87.0ms)

IterNodesCost
04873141
14873141

prune21.0ms

Filtered
11 candidates to 14 candidates (-27.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New13114
Fresh000
Picked011
Done000
Total13215

Merged error: 0.0b

Counts
15 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x.re y.im) (* x.im y.re))
0.2b
(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
1.8b
(sqrt (+ (* x.re y.im) (* x.im y.re)))
1.8b
(sqrt (+ (* x.re y.im) (* x.im y.re)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
4.0ms
(+ (* x.re y.im) (* x.im y.re))
14.0ms
(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
4.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))
4.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))

series59.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(+ (* x.re y.im) (* x.im y.re))
10.0ms
(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
19.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))
21.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))

simplify32.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
055371320

prune91.0ms

Filtered
67 candidates to 110 candidates (-64.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1091110
Fresh000
Picked011
Done011
Total1093112

Merged error: 0b

Counts
112 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

1.8b
(sqrt (+ (* x.re y.im) (* x.im y.re)))
1.8b
(sqrt (+ (* x.re y.im) (* x.im y.re)))
1.8b
(sqrt (+ (* x.re y.im) (* x.im y.re)))
1.8b
(sqrt (+ (* x.re y.im) (* x.im y.re)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt sqrt-prod
8×pow1 add-cube-cbrt *-un-lft-identity sqrt-div
4×add-exp-log rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 60
Calls
4 calls:
4.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))
4.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))
4.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))
4.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))

series80.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))
20.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))
22.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))
19.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))

simplify23.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (16.0ms)

IterNodesCost
05115892

prune82.0ms

Filtered
60 candidates to 72 candidates (-20.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New72072
Fresh000
Picked011
Done022
Total72375

Merged error: 0b

Counts
75 → 3

regimes406.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107
1107

end0.0ms

sample507.0ms

Algorithm
intervals
Results
236.0ms8000×body80valid
37.0ms1332×body80invalid

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