Details

Time bar (total: 41.3s)

sample61.0ms

Algorithm
intervals
Results
12.0ms282×body80valid
11.0ms259×body80nan

simplify12.0ms

Counts
1 → 1
Iterations
IterNodes
done12
112
08

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.6b

localize40.0ms

Local error

Found 3 expressions with local error:

0.5b
(* c0 (sqrt (/ A (* V l))))
6.5b
(/ A (* V l))
15.6b
(sqrt (/ A (* V l)))

rewrite75.0ms

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
times-frac
pow1
expm1-log1p-u associate-*l* insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
cbrt-undiv sqrt-div div-exp prod-exp cbrt-unprod unswap-sqr
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:
31.0ms
(* c0 (sqrt (/ A (* V l))))
21.0ms
(/ A (* V l))
19.0ms
(sqrt (/ A (* V l)))

series216.0ms

Counts
3 → 9
Calls
3 calls:
122.0ms
(* c0 (sqrt (/ A (* V l))))
35.0ms
(/ A (* V l))
59.0ms
(sqrt (/ A (* V l)))

simplify5.0s

Counts
84 → 84
Iterations
IterNodes
done5007
32947
2713
1229
0114

prune1.3s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.8b

localize33.0ms

Local error

Found 3 expressions with local error:

0.5b
(* c0 (sqrt (/ (/ A V) l)))
2.7b
(/ (/ A V) l)
15.6b
(sqrt (/ (/ A V) l))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
213×times-frac
134×add-sqr-sqrt
117×*-un-lft-identity add-cube-cbrt
89×sqrt-prod
46×associate-*r*
13×div-inv associate-/l*
10×add-cbrt-cube add-exp-log
pow1
unswap-sqr
expm1-log1p-u cbrt-undiv rem-sqrt-square associate-/r* div-exp associate-*l* insert-posit16 log1p-expm1-u add-log-exp
sqrt-div
clear-num frac-2neg sqrt-pow1 pow1/2 pow-prod-down prod-exp associate-*r/ *-commutative cbrt-unprod associate-/l/
Counts
3 → 200
Calls
3 calls:
52.0ms
(* c0 (sqrt (/ (/ A V) l)))
19.0ms
(/ (/ A V) l)
31.0ms
(sqrt (/ (/ A V) l))

series244.0ms

Counts
3 → 9
Calls
3 calls:
123.0ms
(* c0 (sqrt (/ (/ A V) l)))
49.0ms
(/ (/ A V) l)
71.0ms
(sqrt (/ (/ A V) l))

simplify6.6s

Counts
209 → 209
Iterations
IterNodes
done5001
34671
21376
1597
0318

prune3.3s

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 0.0b

localize194.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt l)
0.6b
(cbrt l)
0.6b
(cbrt V)
0.6b
(cbrt V)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 56
Calls
4 calls:
3.0ms
(cbrt l)
3.0ms
(cbrt l)
3.0ms
(cbrt V)
3.0ms
(cbrt V)

series1.3s

Counts
4 → 12
Calls
4 calls:
324.0ms
(cbrt l)
350.0ms
(cbrt l)
316.0ms
(cbrt V)
316.0ms
(cbrt V)

simplify4.5s

Counts
68 → 68
Iterations
IterNodes
done5052
52555
4856
3363
2176
181
048

prune1.5s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 0.0b

localize190.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt V)
0.6b
(cbrt (cbrt V))
0.6b
(cbrt (cbrt V))
0.6b
(cbrt (cbrt V))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 65
Calls
4 calls:
3.0ms
(cbrt V)
5.0ms
(cbrt (cbrt V))
4.0ms
(cbrt (cbrt V))
3.0ms
(cbrt (cbrt V))

series1.7s

Counts
4 → 12
Calls
4 calls:
358.0ms
(cbrt V)
449.0ms
(cbrt (cbrt V))
486.0ms
(cbrt (cbrt V))
404.0ms
(cbrt (cbrt V))

simplify6.2s

Counts
77 → 77
Iterations
IterNodes
done5000
53535
4916
3363
2176
183
048

prune1.4s

Pruning

20 alts after pruning (18 fresh and 2 done)

Merged error: 0.0b

regimes4.7s

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 1.3b

bsearch0.0ms

simplify10.0ms

Iterations
IterNodes
done22
122
018

end0.0ms

sample2.6s

Algorithm
intervals
Results
545.0ms9083×body80nan
488.0ms8947×body80valid