Details

Time bar (total: 17.8s)

sample47.0ms

Algorithm
intervals
Results
10.0ms315×body80nan
10.0ms284×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
1128
2148
done148

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.9b
(* c0 (sqrt (/ A (* V l))))
3.9b
(/ A (* V l))
17.8b
(sqrt (/ A (* V l)))

rewrite48.0ms

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×associate-*l* 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 → 66
Calls
3 calls:
30.0ms
(* c0 (sqrt (/ A (* V l))))
8.0ms
(/ A (* V l))
7.0ms
(sqrt (/ A (* V l)))

series189.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(* c0 (sqrt (/ A (* V l))))
36.0ms
(/ A (* V l))
70.0ms
(sqrt (/ A (* V l)))

simplify3.9s

Counts
75 → 75
Iterations

Useful iterations: 2 (131.0ms)

IterNodesCost
0103661
1208611
2586561
31997561
done5000561

prune235.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.9b
(* c0 (sqrt (/ (/ A V) l)))
4.1b
(/ (/ A V) l)
17.8b
(sqrt (/ (/ A V) l))

rewrite73.0ms

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 rem-sqrt-square div-exp associate-*l* associate-/r* 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 → 191
Calls
3 calls:
41.0ms
(* c0 (sqrt (/ (/ A V) l)))
12.0ms
(/ (/ A V) l)
10.0ms
(sqrt (/ (/ A V) l))

series134.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(* c0 (sqrt (/ (/ A V) l)))
36.0ms
(/ (/ A V) l)
45.0ms
(sqrt (/ (/ A V) l))

simplify2.2s

Counts
200 → 200
Iterations

Useful iterations: 3 (788.0ms)

IterNodesCost
03102510
15712318
211602222
328632192
done50002192

prune830.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
2.0ms
(cbrt V)
2.0ms
(cbrt V)
2.0ms
(cbrt A)
2.0ms
(cbrt A)

series1.1s

Counts
4 → 12
Calls
4 calls:
244.0ms
(cbrt V)
257.0ms
(cbrt V)
314.0ms
(cbrt A)
245.0ms
(cbrt A)

simplify1.9s

Counts
56 → 56
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
042260
171244
2144220
3298208
4773208
52577208
done5001208

prune325.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
2.0ms
(cbrt V)
2.0ms
(cbrt V)
2.0ms
(cbrt A)
2.0ms
(cbrt A)

series1.0s

Counts
4 → 12
Calls
4 calls:
275.0ms
(cbrt V)
254.0ms
(cbrt V)
252.0ms
(cbrt A)
249.0ms
(cbrt A)

simplify1.9s

Counts
56 → 56
Iterations

Useful iterations: 3 (77.0ms)

IterNodesCost
042260
171244
2144220
3298208
4773208
52577208
done5001208

prune335.0ms

Pruning

18 alts after pruning (15 fresh and 3 done)

Merged error: 0.0b

regimes552.0ms

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

sample2.9s

Algorithm
intervals
Results
626.0ms8923×body80valid
514.0ms9116×body80nan