Details

Time bar (total: 2.6s)

analyze537.0ms

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

sample18.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms30×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0107
1107

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize5.0ms

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:
3.0ms
(+ (* 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))

simplify51.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04935141
14935141

prune18.0ms

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

localize13.0ms

Local error

Found 4 expressions with local error:

3.5b
(* x.im (* x.im (* y.re y.re)))
8.7b
(* x.re (* y.im y.im))
8.8b
(* x.im (* y.re y.re))
27.0b
(/ (- (* x.re (* x.re (* y.im y.im))) (* x.im (* x.im (* y.re y.re)))) (- (* x.re y.im) (* x.im y.re)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
23×pow1
17×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
12×pow-prod-down prod-exp cbrt-unprod
9×times-frac associate-*l*
4×add-log-exp
3×associate-*r* associate-/r* *-commutative associate-/l*
2×flip3-- associate-/r/ flip-- associate-/l/ unswap-sqr
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
4 → 91
Calls
4 calls:
6.0ms
(* x.im (* x.im (* y.re y.re)))
5.0ms
(* x.re (* y.im y.im))
5.0ms
(* x.im (* y.re y.re))
11.0ms
(/ (- (* x.re (* x.re (* y.im y.im))) (* x.im (* x.im (* y.re y.re)))) (- (* x.re y.im) (* x.im y.re)))

series48.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* x.im (* x.im (* y.re y.re)))
6.0ms
(* x.re (* y.im y.im))
6.0ms
(* x.im (* y.re y.re))
29.0ms
(/ (- (* x.re (* x.re (* y.im y.im))) (* x.im (* x.im (* y.re y.re)))) (- (* x.re y.im) (* x.im y.re)))

simplify36.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
051591249

prune79.0ms

Filtered
64 candidates to 103 candidates (-60.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1012103
Fresh000
Picked101
Done011
Total1023105

Merged error: 0b

Counts
105 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

8.7b
(* x.re (* y.im y.im))
8.8b
(* x.im (* y.re y.re))
12.4b
(* (* x.im (* y.re y.re)) (/ x.im (- (* x.re y.im) (* x.im y.re))))
13.0b
(* (* x.re (* y.im y.im)) (/ x.re (- (* x.re y.im) (* x.im y.re))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
56×add-exp-log add-cbrt-cube
32×pow1 associate-*r*
30×prod-exp cbrt-unprod
22×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
18×times-frac pow-prod-down
8×associate-*l*
6×cbrt-undiv div-exp
4×associate-/r/ *-commutative add-log-exp
2×flip3-- associate-*r/ flip-- div-inv unswap-sqr
Counts
4 → 118
Calls
4 calls:
5.0ms
(* x.re (* y.im y.im))
5.0ms
(* x.im (* y.re y.re))
11.0ms
(* (* x.im (* y.re y.re)) (/ x.im (- (* x.re y.im) (* x.im y.re))))
11.0ms
(* (* x.re (* y.im y.im)) (/ x.re (- (* x.re y.im) (* x.im y.re))))

series49.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* x.re (* y.im y.im))
6.0ms
(* x.im (* y.re y.re))
16.0ms
(* (* x.im (* y.re y.re)) (/ x.im (- (* x.re y.im) (* x.im y.re))))
17.0ms
(* (* x.re (* y.im y.im)) (/ x.re (- (* x.re y.im) (* x.im y.re))))

simplify42.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
055771508

prune84.0ms

Filtered
74 candidates to 130 candidates (-75.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1300130
Fresh011
Picked011
Done011
Total1303133

Merged error: 0b

Counts
133 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

3.2b
(* x.re (* x.re (* y.im y.im)))
3.5b
(* x.im (* (* x.im y.re) y.re))
8.7b
(* x.re (* y.im y.im))
27.0b
(/ (- (* x.re (* x.re (* y.im y.im))) (* x.im (* (* x.im y.re) y.re))) (- (* x.re y.im) (* x.im y.re)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
29×add-exp-log add-cbrt-cube
27×pow1
16×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
9×times-frac associate-*l*
4×add-log-exp
3×associate-*r* associate-/r* *-commutative associate-/l*
2×flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv unswap-sqr
Counts
4 → 93
Calls
4 calls:
7.0ms
(* x.re (* x.re (* y.im y.im)))
6.0ms
(* x.im (* (* x.im y.re) y.re))
5.0ms
(* x.re (* y.im y.im))
13.0ms
(/ (- (* x.re (* x.re (* y.im y.im))) (* x.im (* (* x.im y.re) y.re))) (- (* x.re y.im) (* x.im y.re)))

series47.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* x.re (* x.re (* y.im y.im)))
6.0ms
(* x.im (* (* x.im y.re) y.re))
6.0ms
(* x.re (* y.im y.im))
28.0ms
(/ (- (* x.re (* x.re (* y.im y.im))) (* x.im (* (* x.im y.re) y.re))) (- (* x.re y.im) (* x.im y.re)))

simplify39.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
050371278

prune74.0ms

Filtered
67 candidates to 105 candidates (-56.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1050105
Fresh000
Picked011
Done022
Total1053108

Merged error: 0b

Counts
108 → 3

regimes346.0ms

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

analyze526.0ms

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

sample453.0ms

Algorithm
intervals
Results
210.0ms8000×body80valid
32.0ms1322×body80invalid

Profiling

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