Details

Time bar (total: 16.8s)

sample92.0ms

Algorithm
intervals
Results
34.0ms291×body80valid
30.0ms264×body80nan

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done12
112
08

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.5b

localize12.0ms

Local error

Found 3 expressions with local error:

1.8b
(* c0 (sqrt (/ A (* V l))))
5.7b
(/ A (* V l))
15.4b
(sqrt (/ A (* V l)))

rewrite31.0ms

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:
18.0ms
(* c0 (sqrt (/ A (* V l))))
7.0ms
(/ A (* V l))
5.0ms
(sqrt (/ A (* V l)))

series128.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(* c0 (sqrt (/ A (* V l))))
22.0ms
(/ A (* V l))
52.0ms
(sqrt (/ A (* V l)))

simplify850.0ms

Counts
84 → 84
Iterations
IterNodes
done2000
32000
2714
1230
0114

prune940.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 6.6b

localize12.0ms

Local error

Found 3 expressions with local error:

1.8b
(* c0 (sqrt (/ (/ A V) l)))
5.5b
(/ (/ A V) l)
15.4b
(sqrt (/ (/ A V) l))

rewrite34.0ms

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:
15.0ms
(* c0 (sqrt (/ (/ A V) l)))
8.0ms
(/ (/ A V) l)
4.0ms
(sqrt (/ (/ A V) l))

series138.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(* c0 (sqrt (/ (/ A V) l)))
32.0ms
(/ (/ A V) l)
52.0ms
(sqrt (/ (/ A V) l))

simplify1.5s

Counts
209 → 209
Iterations
IterNodes
done2009
32009
21489
1599
0318

prune2.4s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.1b

localize65.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

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:
1.0ms
(cbrt A)
1.0ms
(cbrt A)
1.0ms
(cbrt V)
2.0ms
(cbrt V)

series1.2s

Counts
4 → 12
Calls
4 calls:
294.0ms
(cbrt A)
272.0ms
(cbrt A)
289.0ms
(cbrt V)
296.0ms
(cbrt V)

simplify910.0ms

Counts
68 → 68
Iterations
IterNodes
done2000
52000
4844
3362
2176
181
048

prune1.2s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

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:
1.0ms
(cbrt V)
1.0ms
(cbrt V)
1.0ms
(cbrt V)
1.0ms
(cbrt V)

series1.2s

Counts
4 → 12
Calls
4 calls:
309.0ms
(cbrt V)
300.0ms
(cbrt V)
260.0ms
(cbrt V)
303.0ms
(cbrt V)

simplify1.2s

Counts
68 → 68
Iterations
IterNodes
done2002
62002
51192
4406
3186
297
147
027

prune1.2s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 0.0b

regimes737.0ms

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done22
122
019

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.4s8881×body80valid
937.0ms8781×body80nan