Details

Time bar (total: 5.8s)

analyze11.0ms

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

sample67.0ms

Algorithm
intervals
Results
54.0ms256×body80valid
3.0ms257×pre80true
0.0ms1×body80invalid

simplify27.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
0521778

prune17.0ms

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: 2.7b

Counts
2 → 2

localize29.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
1.0b
(pow (/ 1.0 (fabs x)) 5)
1.3b
(pow (/ 1.0 (fabs x)) 7)
2.5b
(exp (* (fabs x) (fabs x)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
26×unpow-prod-down
22×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
18×times-frac
10×add-exp-log
7×pow1
6×pow-unpow add-log-exp
4×pow-exp add-cbrt-cube
3×sqrt-prod
2×pow-to-exp pow-pow div-exp div-inv sqr-pow
1×rem-sqrt-square exp-prod exp-to-pow sqrt-pow1 pow1/2 rem-exp-log
Counts
4 → 79
Calls
4 calls:
1.0ms
(sqrt PI)
4.0ms
(pow (/ 1.0 (fabs x)) 5)
4.0ms
(pow (/ 1.0 (fabs x)) 7)
2.0ms
(exp (* (fabs x) (fabs x)))

series44.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(sqrt PI)
16.0ms
(pow (/ 1.0 (fabs x)) 5)
16.0ms
(pow (/ 1.0 (fabs x)) 7)
12.0ms
(exp (* (fabs x) (fabs x)))

simplify54.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
054311281

prune450.0ms

Filtered
63 candidates to 89 candidates (-41.3%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New731689
Fresh011
Picked101
Done000
Total741791

Merged error: 0.8b

Counts
91 → 17

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

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:
2.0ms
(sqrt PI)
6.0ms
(pow (exp (fabs x)) (fabs x))
6.0ms
(pow (/ 1.0 (fabs x)) 5)
4.0ms
(pow (/ 1.0 (fabs x)) 7)

series77.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(sqrt PI)
42.0ms
(pow (exp (fabs x)) (fabs x))
13.0ms
(pow (/ 1.0 (fabs x)) 5)
22.0ms
(pow (/ 1.0 (fabs x)) 7)

simplify63.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
050081351

prune415.0ms

Filtered
65 candidates to 99 candidates (-52.3%)
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New851499
Fresh7916
Picked101
Done000
Total9323116

Merged error: 0.5b

Counts
116 → 23

localize53.0ms

Local error

Found 4 expressions with local error:

1.0b
(pow (exp (fabs x)) (fabs x))
1.1b
(pow (/ 1 (sqrt (fabs x))) 5)
1.1b
(pow (/ 1.0 (sqrt (fabs x))) 5)
1.3b
(pow (/ 1.0 (fabs x)) 7)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
60×unpow-prod-down
45×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×sqrt-prod
15×add-exp-log
12×pow-unpow
11×pow-pow
10×pow1
9×pow-exp
4×pow-to-exp div-exp add-cbrt-cube add-log-exp sqr-pow
3×exp-prod pow-flip div-inv
1×rec-exp sqrt-pow1 pow1/2 1-exp inv-pow
Counts
4 → 128
Calls
4 calls:
3.0ms
(pow (exp (fabs x)) (fabs x))
6.0ms
(pow (/ 1 (sqrt (fabs x))) 5)
6.0ms
(pow (/ 1.0 (sqrt (fabs x))) 5)
4.0ms
(pow (/ 1.0 (fabs x)) 7)

series98.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(pow (exp (fabs x)) (fabs x))
15.0ms
(pow (/ 1 (sqrt (fabs x))) 5)
17.0ms
(pow (/ 1.0 (sqrt (fabs x))) 5)
29.0ms
(pow (/ 1.0 (fabs x)) 7)

simplify120.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
049732420
149732420

prune696.0ms

Filtered
84 candidates to 140 candidates (-66.7%)
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New1355140
Fresh31922
Picked101
Done000
Total13924163

Merged error: 0.5b

Counts
163 → 24

localize50.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
1.0b
(pow (exp (fabs x)) (fabs x))
1.1b
(pow (/ 1 (sqrt (fabs x))) 5)
1.1b
(pow (/ 1.0 (sqrt (fabs x))) 5)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
47×unpow-prod-down
37×add-sqr-sqrt
36×add-cube-cbrt *-un-lft-identity times-frac
21×sqrt-prod
12×add-exp-log
10×pow1 pow-pow
9×pow-unpow
7×pow-exp
4×add-cbrt-cube add-log-exp
3×pow-to-exp exp-prod pow-flip div-exp sqr-pow
2×sqrt-pow1 pow1/2 div-inv
1×rem-sqrt-square rec-exp 1-exp inv-pow
Counts
4 → 113
Calls
4 calls:
1.0ms
(sqrt PI)
4.0ms
(pow (exp (fabs x)) (fabs x))
7.0ms
(pow (/ 1 (sqrt (fabs x))) 5)
6.0ms
(pow (/ 1.0 (sqrt (fabs x))) 5)

series93.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(sqrt PI)
37.0ms
(pow (exp (fabs x)) (fabs x))
25.0ms
(pow (/ 1 (sqrt (fabs x))) 5)
31.0ms
(pow (/ 1.0 (sqrt (fabs x))) 5)

simplify102.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
049171998
149171998

prune390.0ms

Filtered
71 candidates to 123 candidates (-73.2%)
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New1203123
Fresh32023
Picked101
Done000
Total12423147

Merged error: 0.5b

Counts
147 → 23

regimes386.0ms

Accuracy

0% (0.7b remaining)

Error of 1.2b against oracle of 0.5b and baseline of 1.2b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04788
14788

end0.0ms

sample2.4s

Algorithm
intervals
Results
2.1s8000×body80valid
115.0ms8113×pre80true
28.0ms113×body80invalid

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