Details

Time bar (total: 3.2s)

sample36.0ms

Algorithm
intervals
Results
10.0ms293×body80valid
7.0ms289×body80nan

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1144
2144

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 21.6b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.9b
(* c0 (sqrt (/ A (* V l))))
5.5b
(/ A (* V l))
16.9b
(sqrt (/ A (* V l)))

rewrite17.0ms

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:
8.0ms
(* c0 (sqrt (/ A (* V l))))
4.0ms
(/ A (* V l))
4.0ms
(sqrt (/ A (* V l)))

series107.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(* c0 (sqrt (/ A (* V l))))
25.0ms
(/ A (* V l))
34.0ms
(sqrt (/ A (* V l)))

simplify63.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0209321
1813296
23055293
35001293

prune182.0ms

Filtered
75 candidates to 55 candidates (73.3%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New651075
Fresh000
Picked011
Done000
Total651176

Merged error: 6.9b

Counts
76 → 11

localize8.0ms

Local error

Found 3 expressions with local error:

0.9b
(* c0 (sqrt (* (/ 1 V) (/ A l))))
3.7b
(* (/ 1 V) (/ A l))
16.9b
(sqrt (* (/ 1 V) (/ A l)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
27×add-exp-log
25×times-frac
21×*-un-lft-identity
19×add-cube-cbrt
17×associate-*r* add-cbrt-cube
16×associate-*l*
10×pow1
9×prod-exp
8×div-exp
7×unswap-sqr
6×sqrt-div associate-*r/
5×cbrt-unprod
4×cbrt-undiv
3×frac-times pow-prod-down associate-*l/ add-log-exp
2×rec-exp sqrt-pow1 1-exp sqrt-prod *-commutative div-inv
1×pow1/2
Counts
3 → 92
Calls
3 calls:
11.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
10.0ms
(* (/ 1 V) (/ A l))
5.0ms
(sqrt (* (/ 1 V) (/ A l)))

series133.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
20.0ms
(* (/ 1 V) (/ A l))
57.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify46.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0418505
11840440
25001414

prune215.0ms

Filtered
101 candidates to 67 candidates (66.3%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New965101
Fresh189
Picked011
Done101
Total9814112

Merged error: 4.9b

Counts
112 → 14

localize9.0ms

Local error

Found 4 expressions with local error:

5.5b
(/ A (* V l))
5.5b
(/ A (* V l))
16.9b
(sqrt (/ A (* V l)))
16.9b
(sqrt (/ A (* V l)))

rewrite20.0ms

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:
7.0ms
(/ A (* V l))
4.0ms
(/ A (* V l))
4.0ms
(sqrt (/ A (* V l)))
4.0ms
(sqrt (/ A (* V l)))

series114.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ A (* V l))
22.0ms
(/ A (* V l))
33.0ms
(sqrt (/ A (* V l)))
34.0ms
(sqrt (/ A (* V l)))

simplify46.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0131338
1440304
21801304
35001304

prune269.0ms

Filtered
90 candidates to 68 candidates (75.6%)
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New90090
Fresh01212
Picked011
Done011
Total9014104

Merged error: 4.9b

Counts
104 → 14

localize8.0ms

Local error

Found 3 expressions with local error:

0.9b
(* c0 (sqrt (* (/ A V) (/ 1 l))))
5.9b
(* (/ A V) (/ 1 l))
16.9b
(sqrt (* (/ A V) (/ 1 l)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
27×add-exp-log
25×times-frac
21×*-un-lft-identity
19×add-cube-cbrt
17×associate-*r* add-cbrt-cube
16×associate-*l*
10×pow1
9×prod-exp
8×sqrt-div div-exp
7×associate-*r/ unswap-sqr
5×cbrt-unprod
4×cbrt-undiv
3×frac-times pow-prod-down associate-*l/ un-div-inv add-log-exp
2×rec-exp sqrt-pow1 1-exp sqrt-prod *-commutative div-inv
1×pow1/2
Counts
3 → 95
Calls
3 calls:
8.0ms
(* c0 (sqrt (* (/ A V) (/ 1 l))))
10.0ms
(* (/ A V) (/ 1 l))
5.0ms
(sqrt (* (/ A V) (/ 1 l)))

series110.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(* c0 (sqrt (* (/ A V) (/ 1 l))))
26.0ms
(* (/ A V) (/ 1 l))
34.0ms
(sqrt (* (/ A V) (/ 1 l)))

simplify48.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0434512
11878452
25001413

prune195.0ms

Filtered
104 candidates to 71 candidates (68.3%)
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New1013104
Fresh2911
Picked011
Done022
Total10315118

Merged error: 4.9b

Counts
118 → 15

regimes636.0ms

Accuracy

42.5% (8.4b remaining)

Error of 12.9b against oracle of 4.6b and baseline of 19.1b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04224
14224

end0.0ms

sample899.0ms

Algorithm
intervals
Results
249.0ms8931×body80valid
223.0ms8718×body80nan