Details

Time bar (total: 18.2s)

sample52.0ms

Algorithm
intervals
Results
13.0ms314×body80nan
13.0ms294×body80valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done12
112
08

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.2b

localize19.0ms

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)))

rewrite70.0ms

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×expm1-log1p-u associate-*l* log1p-expm1-u 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 → 72
Calls
3 calls:
48.0ms
(* c0 (sqrt (/ A (* V l))))
10.0ms
(/ A (* V l))
9.0ms
(sqrt (/ A (* V l)))

series137.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(* c0 (sqrt (/ A (* V l))))
32.0ms
(/ A (* V l))
50.0ms
(sqrt (/ A (* V l)))

simplify1.6s

Counts
81 → 81
Iterations
IterNodes
done5050
32877
2681
1225
0111

prune514.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 8.9b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

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×expm1-log1p-u associate-*l* log1p-expm1-u 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 → 72
Calls
3 calls:
28.0ms
(* c0 (sqrt (/ A (* l V))))
6.0ms
(/ A (* l V))
5.0ms
(sqrt (/ A (* l V)))

series148.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(* c0 (sqrt (/ A (* l V))))
26.0ms
(/ A (* l V))
52.0ms
(sqrt (/ A (* l V)))

simplify1.4s

Counts
81 → 81
Iterations
IterNodes
done5104
32595
2634
1223
0109

prune582.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 4.9b

localize53.0ms

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)))

rewrite44.0ms

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×expm1-log1p-u cbrt-undiv div-exp log1p-expm1-u 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 → 86
Calls
4 calls:
11.0ms
(/ A (* V l))
11.0ms
(/ A (* V l))
10.0ms
(sqrt (/ A (* V l)))
9.0ms
(sqrt (/ A (* V l)))

series151.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ A (* V l))
26.0ms
(/ A (* V l))
51.0ms
(sqrt (/ A (* V l)))
38.0ms
(sqrt (/ A (* V l)))

simplify5.9s

Counts
98 → 98
Iterations
IterNodes
done5001
44749
31431
2399
1141
076

prune918.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 4.9b

localize85.0ms

Local error

Found 4 expressions with local error:

16.0b
(sqrt (/ A (* V l)))
20.2b
(cbrt (/ A (* V l)))
20.2b
(cbrt (/ A (* V l)))
20.2b
(cbrt (/ A (* V l)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
13×add-sqr-sqrt
12×*-un-lft-identity times-frac add-cube-cbrt
7×sqrt-prod
5×pow1
4×expm1-log1p-u add-cbrt-cube add-exp-log log1p-expm1-u div-inv add-log-exp
3×cbrt-div pow1/3
1×rem-sqrt-square sqrt-pow1 pow1/2 sqrt-div
Counts
4 → 74
Calls
4 calls:
9.0ms
(sqrt (/ A (* V l)))
6.0ms
(cbrt (/ A (* V l)))
4.0ms
(cbrt (/ A (* V l)))
8.0ms
(cbrt (/ A (* V l)))

series437.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(sqrt (/ A (* V l)))
130.0ms
(cbrt (/ A (* V l)))
125.0ms
(cbrt (/ A (* V l)))
135.0ms
(cbrt (/ A (* V l)))

simplify1.8s

Counts
86 → 86
Iterations
IterNodes
done5002
42129
3696
2288
1142
093

prune912.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 4.9b

regimes1.6s

Accuracy

42.2% (8.8b remaining)

Error of 12.7b against oracle of 3.9b and baseline of 19.1b

bsearch2.0ms

simplify7.0ms

Iterations
IterNodes
done39
139
034

end0.0ms

sample1.7s

Algorithm
intervals
Results
469.0ms8933×body80nan
451.0ms8882×body80valid