Details

Time bar (total: 2.1s)

sample30.0ms

Algorithm
intervals
Results
12.0ms266×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1367
2487
3667
4727
5727

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 25.0b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.7b
(- (* x.im y.re) (* x.re y.im))
24.6b
(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub div-exp clear-num flip-+ div-inv
Counts
2 → 44
Calls
2 calls:
3.0ms
(- (* x.im y.re) (* x.re y.im))
9.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

series38.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(- (* x.im y.re) (* x.re y.im))
28.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

simplify96.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0251464
1938427
23490426
35002426

prune92.0ms

Filtered
39 candidates to 50 candidates (-28.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New41950
Fresh000
Picked101
Done000
Total42951

Merged error: 24.3b

Counts
51 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b
(- (* x.im y.re) (* x.re y.im))
14.3b
(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
29.3b
(sqrt (+ (* y.re y.re) (* y.im y.im)))
29.3b
(sqrt (+ (* y.re y.re) (* y.im y.im)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
18×times-frac sqrt-prod
6×pow1 add-exp-log sqrt-div associate-/r* add-cbrt-cube add-log-exp
3×flip3-+ flip-+ associate-/l*
2×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
4 → 86
Calls
4 calls:
3.0ms
(- (* x.im y.re) (* x.re y.im))
8.0ms
(/ (- (* x.im y.re) (* x.re 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)))

series53.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (* x.im y.re) (* x.re y.im))
32.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
5.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))
6.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify94.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0304910
1990857
23340845
35003845

prune120.0ms

Filtered
75 candidates to 98 candidates (-30.7%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New93598
Fresh448
Picked011
Done000
Total9710107

Merged error: 22.4b

Counts
107 → 10

localize10.0ms

Local error

Found 2 expressions with local error:

15.0b
(/ (* x.im y.re) (+ (* y.re y.re) (* y.im y.im)))
18.4b
(/ (* x.re y.im) (+ (* y.re y.re) (* y.im y.im)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
12×add-exp-log add-cbrt-cube
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
4×cbrt-undiv div-exp associate-/r/
2×pow1 frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ div-inv associate-/l* add-log-exp
Counts
2 → 46
Calls
2 calls:
6.0ms
(/ (* x.im y.re) (+ (* y.re y.re) (* y.im y.im)))
6.0ms
(/ (* x.re y.im) (+ (* y.re y.re) (* y.im y.im)))

series28.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(/ (* x.im y.re) (+ (* y.re y.re) (* y.im y.im)))
14.0ms
(/ (* x.re y.im) (+ (* y.re y.re) (* y.im y.im)))

simplify31.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0266376
11244310
25001308

prune70.0ms

Filtered
38 candidates to 52 candidates (-36.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New50252
Fresh538
Picked101
Done011
Total56662

Merged error: 21.5b

Counts
62 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

3.0b
(/ x.re (/ (+ (* y.re y.re) (* y.im y.im)) y.im))
15.0b
(/ (* x.im y.re) (+ (* y.re y.re) (* y.im y.im)))
18.8b
(/ (+ (* y.re y.re) (* y.im y.im)) y.im)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
19×associate-/r*
15×add-exp-log add-cbrt-cube
7×div-inv associate-/l*
6×cbrt-undiv div-exp
3×pow1 frac-2neg clear-num associate-/r/ add-log-exp
2×flip3-+ flip-+ associate-/l/
1×prod-exp cbrt-unprod
Counts
3 → 122
Calls
3 calls:
7.0ms
(/ x.re (/ (+ (* y.re y.re) (* y.im y.im)) y.im))
6.0ms
(/ (* x.im y.re) (+ (* y.re y.re) (* y.im y.im)))
6.0ms
(/ (+ (* y.re y.re) (* y.im y.im)) y.im)

series35.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(/ x.re (/ (+ (* y.re y.re) (* y.im y.im)) y.im))
14.0ms
(/ (* x.im y.re) (+ (* y.re y.re) (* y.im y.im)))
8.0ms
(/ (+ (* y.re y.re) (* y.im y.im)) y.im)

simplify64.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05211209
124611120
250011118

prune110.0ms

Filtered
104 candidates to 131 candidates (-26.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1292131
Fresh044
Picked101
Done011
Total1307137

Merged error: 14.0b

Counts
137 → 7

regimes408.0ms

Accuracy

64.4% (0.9b remaining)

Error of 15.5b against oracle of 14.6b and baseline of 17.1b

bsearch30.0ms

Steps
ItersRangePoint
6
1.036439698734518e-17
8.096010687655846e-17
7.967433824631181e-17
5
-3.440203085983366e+34
-1.3390850615085189e+34
-1.3612643717146147e+34

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03321
13321

end0.0ms

sample697.0ms

Algorithm
intervals
Results
391.0ms8453×body80valid

Profiling

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