Details

Time bar (total: 6.7s)

analyze8.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%25%75%0
0%25%75%1
0%12.5%87.5%2
0%6.3%93.7%3
0%3.1%96.9%4
0%1.6%98.4%5
0%0.8%99.2%6
0%0.4%99.6%7
0%0.2%99.8%8
0.1%0.1%99.8%9
0.1%0%99.9%10
0.1%0%99.9%11
0.1%0%99.9%12
0.1%0%99.9%13
0.1%0%99.9%14

sample136.0ms

Algorithm
intervals
Results
52.0ms256×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (16.0ms)

IterNodesCost
0521649

prune16.0ms

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: 1.1b

Counts
2 → 2

localize48.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
1.0b
(pow (/ 1.0 (fabs x)) 5)
1.1b
(pow (exp (fabs x)) (fabs x))
1.3b
(pow (/ 1.0 (fabs x)) 7)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
29×unpow-prod-down
25×add-sqr-sqrt
24×add-cube-cbrt *-un-lft-identity
18×times-frac
10×add-exp-log
9×pow-unpow
8×pow1
6×pow-pow
5×pow-exp
4×add-cbrt-cube add-log-exp
3×pow-to-exp exp-prod sqrt-prod sqr-pow
2×div-exp div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 89
Calls
4 calls:
1.0ms
(sqrt PI)
4.0ms
(pow (/ 1.0 (fabs x)) 5)
3.0ms
(pow (exp (fabs x)) (fabs x))
5.0ms
(pow (/ 1.0 (fabs x)) 7)

series62.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(sqrt PI)
17.0ms
(pow (/ 1.0 (fabs x)) 5)
29.0ms
(pow (exp (fabs x)) (fabs x))
17.0ms
(pow (/ 1.0 (fabs x)) 7)

simplify36.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
04958897
14958897

prune355.0ms

Filtered
70 candidates to 99 candidates (-41.4%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New851499
Fresh011
Picked101
Done000
Total8615101

Merged error: 0.5b

Counts
101 → 15

localize48.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(sqrt PI)
1.0b
(pow (/ 1.0 (fabs x)) 5)
1.1b
(pow (exp (fabs x)) (fabs x))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
31×add-cube-cbrt *-un-lft-identity
29×unpow-prod-down
27×times-frac
13×cube-prod
10×add-exp-log
9×pow-unpow
8×pow1
7×add-cbrt-cube
6×pow-pow
5×pow-exp
4×add-log-exp
3×pow-to-exp exp-prod sqrt-prod div-inv sqr-pow
2×div-exp rem-cube-cbrt
1×cbrt-undiv cube-div cube-mult rem-sqrt-square sqrt-pow1 pow1/2 unpow3
Counts
4 → 107
Calls
4 calls:
5.0ms
(pow (/ 1.0 (fabs x)) 3)
1.0ms
(sqrt PI)
5.0ms
(pow (/ 1.0 (fabs x)) 5)
3.0ms
(pow (exp (fabs x)) (fabs x))

series50.0ms

Counts
4 → 10
Calls
4 calls:
9.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)
12.0ms
(pow (/ 1.0 (fabs x)) 5)
29.0ms
(pow (exp (fabs x)) (fabs x))

simplify43.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05158967

prune326.0ms

Filtered
70 candidates to 117 candidates (-67.1%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New1116117
Fresh31114
Picked101
Done000
Total11517132

Merged error: 0.4b

Counts
132 → 17

localize63.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
1.0b
(pow (/ 1.0 (fabs x)) 5)
1.1b
(pow (exp (fabs x)) (fabs x))
1.2b
(pow (pow (/ 1.0 (fabs x)) (sqrt 3)) (sqrt 3))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
46×unpow-prod-down
27×add-sqr-sqrt
26×add-cube-cbrt *-un-lft-identity
18×times-frac
12×pow-unpow
11×add-exp-log
9×pow-exp
7×pow1
6×pow-pow sqrt-prod
4×pow-to-exp add-cbrt-cube add-log-exp sqr-pow
3×exp-prod
2×div-exp div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 98
Calls
4 calls:
1.0ms
(sqrt PI)
5.0ms
(pow (/ 1.0 (fabs x)) 5)
3.0ms
(pow (exp (fabs x)) (fabs x))
7.0ms
(pow (pow (/ 1.0 (fabs x)) (sqrt 3)) (sqrt 3))

series100.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(sqrt PI)
13.0ms
(pow (/ 1.0 (fabs x)) 5)
28.0ms
(pow (exp (fabs x)) (fabs x))
58.0ms
(pow (pow (/ 1.0 (fabs x)) (sqrt 3)) (sqrt 3))

simplify72.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049291141
149291141

prune422.0ms

Filtered
72 candidates to 108 candidates (-50.0%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New1044108
Fresh11516
Picked101
Done000
Total10619125

Merged error: 0.4b

Counts
125 → 19

localize65.0ms

Local error

Found 4 expressions with local error:

0.8b
(pow (pow (sqrt (/ 1.0 (fabs x))) (sqrt 3)) (sqrt 3))
1.0b
(sqrt PI)
1.0b
(pow (/ 1.0 (fabs x)) 5)
1.1b
(pow (exp (fabs x)) (fabs x))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
52×unpow-prod-down
28×add-sqr-sqrt
27×add-cube-cbrt *-un-lft-identity
19×sqrt-prod
18×times-frac
12×pow-unpow
9×add-exp-log
7×pow1 pow-exp
6×pow-pow
4×pow-to-exp add-cbrt-cube add-log-exp sqr-pow
3×exp-prod
2×div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2 div-exp
Counts
4 → 100
Calls
4 calls:
8.0ms
(pow (pow (sqrt (/ 1.0 (fabs x))) (sqrt 3)) (sqrt 3))
1.0ms
(sqrt PI)
4.0ms
(pow (/ 1.0 (fabs x)) 5)
3.0ms
(pow (exp (fabs x)) (fabs x))

series111.0ms

Counts
4 → 10
Calls
4 calls:
70.0ms
(pow (pow (sqrt (/ 1.0 (fabs x))) (sqrt 3)) (sqrt 3))
0.0ms
(sqrt PI)
12.0ms
(pow (/ 1.0 (fabs x)) 5)
28.0ms
(pow (exp (fabs x)) (fabs x))

simplify74.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
049261262
149261262

prune467.0ms

Filtered
74 candidates to 110 candidates (-48.6%)
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New1100110
Fresh01818
Picked011
Done000
Total11019129

Merged error: 0.4b

Counts
129 → 19

regimes458.0ms

Accuracy

0% (0.7b remaining)

Error of 1.3b against oracle of 0.5b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04466
14466

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.5s8000×body80valid

Profiling

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