Details

Time bar (total: 17.4s)

sample72.0ms

Algorithm
intervals
Results
19.0ms314×body80nan
18.0ms294×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done14
214
112
08

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.2b

localize14.0ms

Local error

Found 3 expressions with local error:

2.5b
(* c0 (sqrt (/ A (* V l))))
3.8b
(/ A (* V l))
16.0b
(sqrt (/ A (* V l)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×sqrt-prod
11×*-un-lft-identity add-cube-cbrt
10×add-cbrt-cube associate-*r* add-exp-log
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 clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 pow-prod-down associate-*r/ *-commutative
Counts
3 → 66
Calls
3 calls:
30.0ms
(* c0 (sqrt (/ A (* V l))))
7.0ms
(/ A (* V l))
6.0ms
(sqrt (/ A (* V l)))

series156.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(* c0 (sqrt (/ A (* V l))))
21.0ms
(/ A (* V l))
66.0ms
(sqrt (/ A (* V l)))

simplify2.8s

Counts
75 → 75
Iterations
IterNodes
done5000
33823
2807
1221
0105

prune556.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 8.9b

localize36.0ms

Local error

Found 4 expressions with local error:

3.8b
(/ A (* V l))
3.8b
(/ A (* V l))
16.0b
(sqrt (/ A (* V l)))
16.0b
(sqrt (/ A (* V l)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt add-cbrt-cube add-exp-log sqrt-prod
12×*-un-lft-identity times-frac add-cube-cbrt
6×pow1 associate-/l*
4×cbrt-undiv div-exp div-inv add-log-exp
2×rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 sqrt-div prod-exp cbrt-unprod
Counts
4 → 78
Calls
4 calls:
12.0ms
(/ A (* V l))
9.0ms
(/ A (* V l))
7.0ms
(sqrt (/ A (* V l)))
5.0ms
(sqrt (/ A (* V l)))

series153.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ A (* V l))
22.0ms
(/ A (* V l))
57.0ms
(sqrt (/ A (* V l)))
46.0ms
(sqrt (/ A (* V l)))

simplify4.0s

Counts
90 → 90
Iterations
IterNodes
done5000
32602
2508
1137
072

prune810.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 8.9b

localize91.0ms

Local error

Found 4 expressions with local error:

3.7b
(sqrt (sqrt (/ A (* V l))))
3.8b
(/ A (* V l))
16.0b
(sqrt (/ A (* V l)))
16.0b
(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
40×sqrt-prod
26×times-frac
20×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
9×add-cbrt-cube add-exp-log
8×pow1
6×sqrt-pow1
5×rem-sqrt-square div-inv
4×pow1/2 sqrt-div add-log-exp
3×cbrt-prod associate-/l*
2×cbrt-undiv div-exp
1×clear-num associate-/r* frac-2neg prod-exp associate-/r/ cbrt-unprod
Counts
4 → 90
Calls
4 calls:
6.0ms
(sqrt (sqrt (/ A (* V l))))
7.0ms
(/ A (* V l))
5.0ms
(sqrt (/ A (* V l)))
14.0ms
(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

series437.0ms

Counts
4 → 12
Calls
4 calls:
270.0ms
(sqrt (sqrt (/ A (* V l))))
36.0ms
(/ A (* V l))
43.0ms
(sqrt (/ A (* V l)))
88.0ms
(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

simplify1.0s

Counts
102 → 102
Iterations
IterNodes
done5001
21231
1335
0185

prune773.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 8.9b

localize14.0ms

Local error

Found 3 expressions with local error:

2.5b
(* c0 (sqrt (* (/ 1 V) (/ A l))))
5.2b
(* (/ 1 V) (/ A l))
16.0b
(sqrt (* (/ 1 V) (/ A l)))

rewrite109.0ms

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×add-cbrt-cube associate-*r*
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 *-commutative sqrt-prod div-inv
1×pow1/2
Counts
3 → 92
Calls
3 calls:
64.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
32.0ms
(* (/ 1 V) (/ A l))
8.0ms
(sqrt (* (/ 1 V) (/ A l)))

series190.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
38.0ms
(* (/ 1 V) (/ A l))
77.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify1.8s

Counts
101 → 101
Iterations
IterNodes
done5001
22543
1458
0162

prune551.0ms

Pruning

15 alts after pruning (11 fresh and 4 done)

Merged error: 6.0b

regimes1.8s

Accuracy

45.1% (7.9b remaining)

Error of 12.6b against oracle of 4.7b and baseline of 19.1b

bsearch2.0ms

simplify9.0ms

Iterations
IterNodes
done40
140
032

end0.0ms

sample1.9s

Algorithm
intervals
Results
497.0ms8933×body80nan
471.0ms8882×body80valid