Details

Time bar (total: 2.5s)

analyze608.0ms

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

sample20.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms42×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

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:
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))

simplify68.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
04873141
14873141

prune23.0ms

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

localize15.0ms

Local error

Found 4 expressions with local error:

4.6b
(* x.re (* x.re (* y.im y.im)))
7.8b
(* x.re (* y.im y.im))
8.8b
(* x.im (* y.re y.re))
26.7b
(/ (- (* x.re (* x.re (* y.im y.im))) (* x.im (* x.im (* y.re y.re)))) (- (* x.re y.im) (* x.im y.re)))

rewrite31.0ms

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:
7.0ms
(* x.re (* x.re (* y.im y.im)))
5.0ms
(* x.re (* y.im y.im))
5.0ms
(* x.im (* y.re y.re))
12.0ms
(/ (- (* x.re (* x.re (* y.im y.im))) (* x.im (* x.im (* y.re y.re)))) (- (* x.re y.im) (* x.im y.re)))

series51.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* x.re (* x.re (* y.im y.im)))
9.0ms
(* x.re (* y.im y.im))
7.0ms
(* 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)))

simplify26.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
051671250

prune92.0ms

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: 0.0b

Counts
105 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

2.2b
(cbrt (- (* x.re y.im) (* x.im y.re)))
2.2b
(cbrt (- (* x.re y.im) (* x.im y.re)))
2.2b
(cbrt (- (* x.re y.im) (* x.im y.re)))
10.3b
(/ (* (/ (+ (* x.re y.im) (* x.im y.re)) (cbrt (- (* x.re y.im) (* x.im y.re)))) (/ (- (* x.re y.im) (* x.im y.re)) (cbrt (- (* x.re y.im) (* x.im y.re))))) (cbrt (- (* x.re y.im) (* x.im y.re))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
15×cbrt-prod
13×add-cbrt-cube
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-undiv div-exp
8×cbrt-div
6×times-frac associate-/r*
4×pow1 flip3-- prod-exp flip-- cbrt-unprod add-log-exp
3×pow1/3 associate-/l/
2×associate-/r/
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num div-inv associate-/l*
Counts
4 → 77
Calls
4 calls:
3.0ms
(cbrt (- (* x.re y.im) (* x.im y.re)))
3.0ms
(cbrt (- (* x.re y.im) (* x.im y.re)))
3.0ms
(cbrt (- (* x.re y.im) (* x.im y.re)))
24.0ms
(/ (* (/ (+ (* x.re y.im) (* x.im y.re)) (cbrt (- (* x.re y.im) (* x.im y.re)))) (/ (- (* x.re y.im) (* x.im y.re)) (cbrt (- (* x.re y.im) (* x.im y.re))))) (cbrt (- (* x.re y.im) (* x.im y.re))))

series129.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(cbrt (- (* x.re y.im) (* x.im y.re)))
40.0ms
(cbrt (- (* x.re y.im) (* x.im y.re)))
39.0ms
(cbrt (- (* x.re y.im) (* x.im y.re)))
11.0ms
(/ (* (/ (+ (* x.re y.im) (* x.im y.re)) (cbrt (- (* x.re y.im) (* x.im y.re)))) (/ (- (* x.re y.im) (* x.im y.re)) (cbrt (- (* x.re y.im) (* x.im y.re))))) (cbrt (- (* x.re y.im) (* x.im y.re))))

simplify48.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
051502207

prune112.0ms

Filtered
74 candidates to 89 candidates (-20.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New88189
Fresh011
Picked011
Done011
Total88492

Merged error: 0b

Counts
92 → 4

localize17.0ms

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)))
2.2b
(cbrt (- (* x.re y.im) (* x.im y.re)))
2.2b
(cbrt (- (* x.re y.im) (* x.im y.re)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-prod sqrt-prod
4×add-exp-log cbrt-div flip3-- sqrt-div add-cbrt-cube flip-- add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 pow1/3
Counts
4 → 56
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)))
3.0ms
(cbrt (- (* x.re y.im) (* x.im y.re)))
4.0ms
(cbrt (- (* x.re y.im) (* x.im y.re)))

series124.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(sqrt (- (* x.re y.im) (* x.im y.re)))
22.0ms
(sqrt (- (* x.re y.im) (* x.im y.re)))
38.0ms
(cbrt (- (* x.re y.im) (* x.im y.re)))
40.0ms
(cbrt (- (* x.re y.im) (* x.im y.re)))

simplify40.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
04989882
14989882

prune101.0ms

Filtered
58 candidates to 68 candidates (-17.2%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New68068
Fresh011
Picked011
Done022
Total68472

Merged error: 0b

Counts
72 → 4

regimes429.0ms

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

sample505.0ms

Algorithm
intervals
Results
229.0ms8000×body80valid
36.0ms1283×body80invalid

Profiling

Loading profile data...