Details

Time bar (total: 14.0s)

sample108.0ms

Algorithm
intervals
Results
44.0ms285×body80nan
33.0ms284×body80valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
done12
112
08

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.5b

localize24.0ms

Local error

Found 3 expressions with local error:

1.7b
(* c0 (sqrt (/ A (* V l))))
5.1b
(/ A (* V l))
12.8b
(sqrt (/ A (* V l)))

rewrite54.0ms

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* insert-posit16 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 → 75
Calls
3 calls:
29.0ms
(* c0 (sqrt (/ A (* V l))))
14.0ms
(/ A (* V l))
11.0ms
(sqrt (/ A (* V l)))

series168.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(* c0 (sqrt (/ A (* V l))))
37.0ms
(/ A (* V l))
48.0ms
(sqrt (/ A (* V l)))

simplify1.2s

Counts
84 → 84
Iterations
IterNodes
done2000
32000
2714
1230
0114

prune549.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.5b

localize22.0ms

Local error

Found 3 expressions with local error:

1.7b
(* (sqrt (/ A (* V l))) c0)
5.1b
(/ A (* V l))
12.8b
(sqrt (/ A (* V l)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×sqrt-prod
11×*-un-lft-identity add-cube-cbrt
10×add-cbrt-cube associate-*l* add-exp-log
9×times-frac
6×pow1
3×expm1-log1p-u associate-*r* insert-posit16 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-*l/ *-commutative
Counts
3 → 75
Calls
3 calls:
38.0ms
(* (sqrt (/ A (* V l))) c0)
12.0ms
(/ A (* V l))
10.0ms
(sqrt (/ A (* V l)))

series193.0ms

Counts
3 → 9
Calls
3 calls:
114.0ms
(* (sqrt (/ A (* V l))) c0)
31.0ms
(/ A (* V l))
48.0ms
(sqrt (/ A (* V l)))

simplify1.2s

Counts
84 → 84
Iterations
IterNodes
done2005
32005
2869
1264
0124

prune611.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 6.5b

localize44.0ms

Local error

Found 4 expressions with local error:

5.1b
(/ A (* V l))
5.1b
(/ A (* V l))
12.8b
(sqrt (/ A (* V l)))
12.8b
(sqrt (/ A (* V l)))

rewrite26.0ms

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 insert-posit16 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 → 90
Calls
4 calls:
6.0ms
(/ A (* V l))
6.0ms
(/ A (* V l))
5.0ms
(sqrt (/ A (* V l)))
7.0ms
(sqrt (/ A (* V l)))

series147.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ A (* V l))
30.0ms
(/ A (* V l))
48.0ms
(sqrt (/ A (* V l)))
48.0ms
(sqrt (/ A (* V l)))

simplify1.5s

Counts
102 → 102
Iterations
IterNodes
done2011
42011
31417
2398
1141
078

prune851.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 6.5b

localize74.0ms

Local error

Found 4 expressions with local error:

12.8b
(sqrt (/ A (* V l)))
15.1b
(cbrt (/ A (* V l)))
15.1b
(cbrt (/ A (* V l)))
15.1b
(cbrt (/ A (* V l)))

rewrite24.0ms

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 insert-posit16 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 → 78
Calls
4 calls:
5.0ms
(sqrt (/ A (* V l)))
5.0ms
(cbrt (/ A (* V l)))
6.0ms
(cbrt (/ A (* V l)))
6.0ms
(cbrt (/ A (* V l)))

series411.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(sqrt (/ A (* V l)))
144.0ms
(cbrt (/ A (* V l)))
104.0ms
(cbrt (/ A (* V l)))
111.0ms
(cbrt (/ A (* V l)))

simplify1.6s

Counts
90 → 90
Iterations
IterNodes
done2000
42000
3697
2290
1144
095

prune887.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 6.5b

regimes1.4s

Accuracy

53.2% (5.7b remaining)

Error of 12.5b against oracle of 6.7b and baseline of 19.0b

bsearch1.0ms

simplify6.0ms

Iterations
IterNodes
done40
140
032

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.1s8873×body80valid
1.0s8909×body80nan