Details

Time bar (total: 14.8s)

sample85.0ms

Algorithm
intervals
Results
17.0ms280×body80valid
16.0ms273×body80nan

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
1128
2148
done148

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b
(* c0 (sqrt (/ A (* V l))))
4.1b
(/ A (* V l))
16.3b
(sqrt (/ A (* V l)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×sqrt-prod
11×add-cube-cbrt *-un-lft-identity
10×add-exp-log associate-*r* add-cbrt-cube
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 frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
3 → 72
Calls
3 calls:
45.0ms
(* c0 (sqrt (/ A (* V l))))
19.0ms
(/ A (* V l))
7.0ms
(sqrt (/ A (* V l)))

series191.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(* c0 (sqrt (/ A (* V l))))
44.0ms
(/ A (* V l))
58.0ms
(sqrt (/ A (* V l)))

simplify2.7s

Counts
81 → 81
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
0109705
1222655
2747607
33488605
done5001605

prune476.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(* c0 (sqrt (/ (/ A V) l)))
3.2b
(/ (/ A V) l)
16.3b
(sqrt (/ (/ A V) l))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
213×times-frac
134×add-sqr-sqrt
117×add-cube-cbrt *-un-lft-identity
89×sqrt-prod
46×associate-*r*
13×div-inv associate-/l*
10×add-exp-log add-cbrt-cube
6×pow1
4×unswap-sqr
3×cbrt-undiv expm1-log1p-u rem-sqrt-square div-exp associate-*l* associate-/r* log1p-expm1-u add-log-exp
2×sqrt-div
1×frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down prod-exp clear-num *-commutative cbrt-unprod associate-/l/
Counts
3 → 197
Calls
3 calls:
47.0ms
(* c0 (sqrt (/ (/ A V) l)))
18.0ms
(/ (/ A V) l)
12.0ms
(sqrt (/ (/ A V) l))

series161.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(* c0 (sqrt (/ (/ A V) l)))
31.0ms
(/ (/ A V) l)
49.0ms
(sqrt (/ (/ A V) l))

simplify1.3s

Counts
206 → 206
Iterations

Useful iterations: done (1.3s)

IterNodesCost
03162554
16182362
221352268
done50012236

prune1.7s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt V)
1.0ms
(cbrt V)
1.0ms
(cbrt l)
1.0ms
(cbrt l)

series1.0s

Counts
4 → 12
Calls
4 calls:
269.0ms
(cbrt V)
229.0ms
(cbrt V)
275.0ms
(cbrt l)
274.0ms
(cbrt l)

simplify1.2s

Counts
64 → 64
Iterations

Useful iterations: 3 (126.0ms)

IterNodesCost
046284
181268
2210244
3640232
41940232
done5000232

prune557.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
2.0ms
(cbrt l)
2.0ms
(cbrt l)
2.0ms
(cbrt l)
2.0ms
(cbrt l)

series1.1s

Counts
4 → 12
Calls
4 calls:
245.0ms
(cbrt l)
287.0ms
(cbrt l)
252.0ms
(cbrt l)
280.0ms
(cbrt l)

simplify993.0ms

Counts
64 → 64
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
026284
147268
2115244
3334232
41002232
done5001232

prune420.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0.0b

regimes693.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01321
11521
done1521

end0.0ms

sample1.9s

Algorithm
intervals
Results
423.0ms8921×body80valid
400.0ms8846×body80nan