Details

Time bar (total: 4.7s)

analyze8.0ms

Algorithm
search

sample69.0ms

Algorithm
intervals
Results
56.0ms256×body80valid
3.0ms258×pre80true
0.0ms2×body80invalid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
09061
138958
2211536
3500136

prune14.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.6b

Counts
2 → 2

localize25.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (/ 1.0 (fabs x)) 3)
0.7b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(sqrt PI)
2.5b
(exp (* (fabs x) (fabs x)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt times-frac
35×add-cube-cbrt *-un-lft-identity
26×unpow-prod-down cube-prod
10×add-exp-log add-cbrt-cube
7×pow1
6×pow-unpow add-log-exp
4×pow-exp div-inv rem-cube-cbrt
3×sqrt-prod
2×cbrt-undiv cube-div cube-mult pow-to-exp pow-pow unpow3 div-exp sqr-pow
1×rem-sqrt-square exp-prod exp-to-pow sqrt-pow1 pow1/2 rem-exp-log
Counts
4 → 115
Calls
4 calls:
5.0ms
(pow (/ 1.0 (fabs x)) 3)
4.0ms
(pow (/ 1.0 (fabs x)) 3)
1.0ms
(sqrt PI)
2.0ms
(exp (* (fabs x) (fabs x)))

series28.0ms

Counts
4 → 10
Calls
4 calls:
8.0ms
(pow (/ 1.0 (fabs x)) 3)
9.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)
11.0ms
(exp (* (fabs x) (fabs x)))

simplify58.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0341714
11606583
25002571

prune266.0ms

Filtered
65 candidates to 125 candidates (-92.3%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New11510125
Fresh011
Picked101
Done000
Total11611127

Merged error: 1.0b

Counts
127 → 11

localize30.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (/ 1.0 (fabs x)) 3)
0.7b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(sqrt PI)
1.1b
(pow (exp (fabs x)) (fabs x))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
38×add-cube-cbrt *-un-lft-identity
36×times-frac
29×unpow-prod-down
26×cube-prod
10×add-exp-log add-cbrt-cube
9×pow-unpow
8×pow1
6×pow-pow
5×pow-exp
4×div-inv add-log-exp rem-cube-cbrt
3×pow-to-exp exp-prod sqrt-prod sqr-pow
2×cbrt-undiv cube-div cube-mult unpow3 div-exp
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 125
Calls
4 calls:
5.0ms
(pow (/ 1.0 (fabs x)) 3)
5.0ms
(pow (/ 1.0 (fabs x)) 3)
1.0ms
(sqrt PI)
5.0ms
(pow (exp (fabs x)) (fabs x))

series45.0ms

Counts
4 → 10
Calls
4 calls:
8.0ms
(pow (/ 1.0 (fabs x)) 3)
9.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)
28.0ms
(pow (exp (fabs x)) (fabs x))

simplify51.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0334743
11538613
25001599

prune344.0ms

Filtered
71 candidates to 135 candidates (-90.1%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New12213135
Fresh2810
Picked101
Done000
Total12521146

Merged error: 0.5b

Counts
146 → 21

localize34.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(sqrt PI)
1.0b
(sqrt PI)
1.1b
(pow (exp (fabs x)) (fabs x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
24×add-cube-cbrt *-un-lft-identity
18×times-frac
16×unpow-prod-down
13×cube-prod
8×pow1
7×add-exp-log add-cbrt-cube
6×pow-unpow sqrt-prod
5×pow-pow
4×add-log-exp
3×exp-prod pow-exp
2×pow-to-exp rem-sqrt-square sqrt-pow1 pow1/2 div-inv rem-cube-cbrt sqr-pow
1×cbrt-undiv cube-div cube-mult unpow3 div-exp
Counts
4 → 92
Calls
4 calls:
5.0ms
(pow (/ 1.0 (fabs x)) 3)
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)
3.0ms
(pow (exp (fabs x)) (fabs x))

series36.0ms

Counts
4 → 8
Calls
4 calls:
9.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)
28.0ms
(pow (exp (fabs x)) (fabs x))

simplify51.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0334480
11538410
25001402

prune323.0ms

Filtered
59 candidates to 100 candidates (-69.5%)
Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New8812100
Fresh41620
Picked101
Done000
Total9328121

Merged error: 0.5b

Counts
121 → 28

localize37.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
1.0b
(sqrt PI)
1.1b
(pow (exp (fabs x)) (fabs x))
1.1b
(pow (exp (fabs x)) (fabs x))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
8×pow1 pow-pow
6×unpow-prod-down pow-unpow exp-prod sqrt-prod
4×add-exp-log add-cbrt-cube add-log-exp
2×pow-to-exp rem-sqrt-square sqrt-pow1 pow1/2 pow-exp sqr-pow
Counts
4 → 66
Calls
4 calls:
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)
3.0ms
(pow (exp (fabs x)) (fabs x))
3.0ms
(pow (exp (fabs x)) (fabs x))

series58.0ms

Counts
4 → 8
Calls
4 calls:
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)
31.0ms
(pow (exp (fabs x)) (fabs x))
27.0ms
(pow (exp (fabs x)) (fabs x))

simplify181.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 4 (174.0ms)

IterNodesCost
085314
1241298
2888298
34767294
45001274

prune167.0ms

Filtered
49 candidates to 74 candidates (-51.0%)
Pruning

34 alts after pruning (33 fresh and 1 done)

PrunedKeptTotal
New66874
Fresh22527
Picked011
Done000
Total6834102

Merged error: 0.4b

Counts
102 → 34

regimes893.0ms

Accuracy

0% (1.0b remaining)

Error of 1.4b against oracle of 0.4b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04047
14047

end0.0ms

analyze8.0ms

Algorithm
search

sample1.9s

Algorithm
intervals
Results
1.6s8000×body80valid
90.0ms8121×pre80true
25.0ms121×body80invalid

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