Details

Time bar (total: 5.0s)

sample29.0ms

Algorithm
intervals
Results
11.0ms268×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0157
1157

prune5.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 26.6b

Counts
2 → 1

localize10.0ms

Local error

Found 1 expressions with local error:

26.2b
(/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×pow1 cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 31
Calls
1 calls:
8.0ms
(/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))

series79.0ms

Counts
1 → 3
Calls
1 calls:
79.0ms
(/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))

simplify74.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0200376
1737346
22445345
35002345

prune180.0ms

Filtered
34 candidates to 27 candidates (79.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New27734
Fresh000
Picked011
Done000
Total27835

Merged error: 25.9b

Counts
35 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
14.7b
(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
30.9b
(sqrt (+ (* y.re y.re) (* y.im y.im)))
30.9b
(sqrt (+ (* y.re y.re) (* y.im y.im)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
288×times-frac
164×add-sqr-sqrt
162×add-cube-cbrt *-un-lft-identity
156×sqrt-prod
27×associate-/l*
22×sqrt-div
18×associate-/r/
12×flip3-+ associate-/r* flip-+
11×add-exp-log add-cbrt-cube
9×div-inv
6×pow1
4×cbrt-undiv div-exp add-log-exp
3×associate-/l/
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
Counts
4 → 264
Calls
4 calls:
16.0ms
(/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
9.0ms
(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
3.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))
3.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))

series251.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
105.0ms
(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
34.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))
35.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify94.0ms

Algorithm
egg-herbie
Counts
276 → 276
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
07145680
125165201
250015144

prune855.0ms

Filtered
276 candidates to 145 candidates (52.5%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2715276
Fresh246
Picked101
Done011
Total27410284

Merged error: 24.1b

Counts
284 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

8.1b
(/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
30.9b
(sqrt (+ (* y.re y.re) (* y.im y.im)))
30.9b
(sqrt (+ (* y.re y.re) (* y.im y.im)))
30.9b
(sqrt (+ (* y.re y.re) (* y.im y.im)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
585×sqrt-prod
567×times-frac
302×add-sqr-sqrt
299×add-cube-cbrt *-un-lft-identity
50×sqrt-div
33×associate-/l*
22×associate-/r/
14×flip3-+ flip-+
11×div-inv
9×add-exp-log associate-/r* add-cbrt-cube
7×pow1
4×add-log-exp
3×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp
1×frac-2neg clear-num associate-/l/
Counts
4 → 401
Calls
4 calls:
22.0ms
(/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
3.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))
4.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))
3.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))

series219.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
38.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))
35.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))
43.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify136.0ms

Algorithm
egg-herbie
Counts
413 → 413
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
098211182
1376810418
2500110129

prune1.0s

Filtered
413 candidates to 157 candidates (38.0%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New4130413
Fresh088
Picked011
Done011
Total41310423

Merged error: 24.1b

Counts
423 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

30.9b
(sqrt (+ (* y.re y.re) (* y.im y.im)))
30.9b
(sqrt (+ (* y.re y.re) (* y.im y.im)))
30.9b
(sqrt (+ (* y.re y.re) (* y.im y.im)))
30.9b
(sqrt (+ (* y.re y.re) (* y.im y.im)))

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 (+ (* y.re y.re) (* y.im y.im)))
4.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))
4.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))
3.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))

series148.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))
34.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))
35.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))
39.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify139.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 5 (133.0ms)

IterNodesCost
089400
1215388
2503388
31265388
44227388
55002384

prune375.0ms

Filtered
72 candidates to 60 candidates (83.3%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New72072
Fresh077
Picked011
Done022
Total721082

Merged error: 24.1b

Counts
82 → 10

regimes449.0ms

Accuracy

0% (3.0b remaining)

Error of 26.0b against oracle of 23.0b and baseline of 26.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157
1157

end0.0ms

sample732.0ms

Algorithm
intervals
Results
366.0ms8478×body80valid

Profiling

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