Details

Time bar (total: 5.2s)

sample1.1s

Algorithm
intervals
sampling

Space saved by range analysis: 39.181431%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results
9.0ms256×body80valid
2.0ms69×body80nan
1.0ms35×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1144
2144

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 17.4b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.9b
(* c0 (sqrt (/ A (* V l))))
6.0b
(/ A (* V l))
14.3b
(sqrt (/ A (* V l)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×sqrt-prod
11×add-cube-cbrt *-un-lft-identity
10×add-exp-log associate-*r* add-cbrt-cube
9×times-frac
6×pow1
3×associate-*l* div-inv associate-/l* add-log-exp
2×cbrt-undiv sqrt-div div-exp prod-exp cbrt-unprod unswap-sqr
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
3 → 66
Calls
3 calls:
7.0ms
(* c0 (sqrt (/ A (* V l))))
4.0ms
(/ A (* V l))
4.0ms
(sqrt (/ A (* V l)))

series28.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(* c0 (sqrt (/ A (* V l))))
5.0ms
(/ A (* V l))
9.0ms
(sqrt (/ A (* V l)))

simplify62.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0214321
1808296
23059293
35001293

prune150.0ms

Filtered
55 candidates to 75 candidates (-36.4%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New601575
Fresh000
Picked101
Done000
Total611576

Merged error: 5.8b

Counts
76 → 15

localize10.0ms

Local error

Found 4 expressions with local error:

6.0b
(/ A (* V l))
6.0b
(/ A (* V l))
14.3b
(sqrt (/ A (* V l)))
14.3b
(sqrt (/ A (* V l)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-sqr-sqrt sqrt-prod add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity times-frac
6×pow1 associate-/l*
4×cbrt-undiv div-exp div-inv add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 sqrt-div prod-exp clear-num associate-/r* cbrt-unprod
Counts
4 → 78
Calls
4 calls:
4.0ms
(/ A (* V l))
4.0ms
(/ A (* V l))
4.0ms
(sqrt (/ A (* V l)))
4.0ms
(sqrt (/ A (* V l)))

series28.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ A (* V l))
5.0ms
(/ A (* V l))
9.0ms
(sqrt (/ A (* V l)))
9.0ms
(sqrt (/ A (* V l)))

simplify47.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0136338
1441304
21804304
35002304

prune146.0ms

Filtered
68 candidates to 90 candidates (-32.4%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New87390
Fresh31114
Picked011
Done000
Total9015105

Merged error: 5.8b

Counts
105 → 15

localize16.0ms

Local error

Found 4 expressions with local error:

6.0b
(/ A (* V l))
14.3b
(sqrt (/ A (* V l)))
17.0b
(cbrt (/ A (* V l)))
17.0b
(cbrt (/ A (* V l)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
13×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity times-frac
9×add-exp-log add-cbrt-cube
7×sqrt-prod
5×pow1
4×div-inv add-log-exp
3×associate-/l*
2×cbrt-undiv cbrt-div pow1/3 div-exp
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 sqrt-div prod-exp clear-num associate-/r* cbrt-unprod
Counts
4 → 71
Calls
4 calls:
5.0ms
(/ A (* V l))
4.0ms
(sqrt (/ A (* V l)))
3.0ms
(cbrt (/ A (* V l)))
4.0ms
(cbrt (/ A (* V l)))

series57.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ A (* V l))
9.0ms
(sqrt (/ A (* V l)))
20.0ms
(cbrt (/ A (* V l)))
20.0ms
(cbrt (/ A (* V l)))

simplify57.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
0223417
1669380
22846352
35001349

prune156.0ms

Filtered
65 candidates to 83 candidates (-27.7%)
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New83083
Fresh01313
Picked011
Done011
Total831598

Merged error: 5.8b

Counts
98 → 15

localize17.0ms

Local error

Found 4 expressions with local error:

4.0b
(/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A)))
6.0b
(/ A (* V l))
14.3b
(sqrt (/ A (* V l)))
14.3b
(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
30×add-exp-log
22×sqrt-prod
21×add-sqr-sqrt
20×add-cbrt-cube
18×add-cube-cbrt *-un-lft-identity
12×cbrt-undiv div-exp
11×associate-/r*
9×cbrt-prod
7×div-inv
6×pow1 prod-exp cbrt-unprod
4×associate-/l* add-log-exp
3×rem-sqrt-square
2×frac-2neg sqrt-pow1 pow1/2 sqrt-div clear-num associate-/r/
Counts
4 → 110
Calls
4 calls:
11.0ms
(/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A)))
6.0ms
(/ A (* V l))
4.0ms
(sqrt (/ A (* V l)))
8.0ms
(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

series35.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A)))
5.0ms
(/ A (* V l))
9.0ms
(sqrt (/ A (* V l)))
12.0ms
(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

simplify45.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0385860
11678766
25001607

prune126.0ms

Filtered
90 candidates to 122 candidates (-35.6%)
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New1211122
Fresh01212
Picked101
Done022
Total12215137

Merged error: 5.8b

Counts
137 → 15

regimes1.3s

Accuracy

54.9% (5.7b remaining)

Error of 12.4b against oracle of 6.7b and baseline of 19.4b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05740
15740

end0.0ms

sample1.7s

Algorithm
intervals
sampling

Space saved by range analysis: 39.181431%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results
291.0ms8000×body80valid
80.0ms2047×body80nan
27.0ms769×body80invalid

Profiling

Loading profile data...