Details

Time bar (total: 22.0s)

sample61.0ms

Algorithm
intervals
Results
15.0ms281×body80valid
12.0ms287×body80nan

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
1128
2148
done148

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.7b

localize7.0ms

Local error

Found 3 expressions with local error:

1.6b
(* c0 (sqrt (/ A (* V l))))
4.2b
(/ A (* V l))
17.1b
(sqrt (/ A (* V l)))

rewrite64.0ms

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:
45.0ms
(* c0 (sqrt (/ A (* V l))))
10.0ms
(/ A (* V l))
7.0ms
(sqrt (/ A (* V l)))

series131.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(* c0 (sqrt (/ A (* V l))))
26.0ms
(/ A (* V l))
41.0ms
(sqrt (/ A (* V l)))

simplify3.7s

Counts
75 → 75
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
0103661
1208611
2586561
31997561
done5000561

prune353.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.8b

localize17.0ms

Local error

Found 3 expressions with local error:

1.6b
(* c0 (sqrt (/ (/ A V) l)))
4.5b
(/ (/ A V) l)
17.1b
(sqrt (/ (/ A V) l))

rewrite128.0ms

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:
61.0ms
(* c0 (sqrt (/ (/ A V) l)))
23.0ms
(/ (/ A V) l)
29.0ms
(sqrt (/ (/ A V) l))

series179.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(* c0 (sqrt (/ (/ A V) l)))
37.0ms
(/ (/ A V) l)
49.0ms
(sqrt (/ (/ A V) l))

simplify2.7s

Counts
200 → 200
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
03102510
15712318
211602222
328632192
done50002192

prune888.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.1b

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)

series1.2s

Counts
4 → 12
Calls
4 calls:
291.0ms
(cbrt V)
249.0ms
(cbrt V)
323.0ms
(cbrt A)
317.0ms
(cbrt A)

simplify2.1s

Counts
56 → 56
Iterations

Useful iterations: 3 (112.0ms)

IterNodesCost
042260
171244
2144220
3298208
4773208
52577208
done5001208

prune405.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt A)
2.0ms
(cbrt (cbrt A))
1.0ms
(cbrt (cbrt A))
1.0ms
(cbrt (cbrt A))

series1.5s

Counts
4 → 12
Calls
4 calls:
328.0ms
(cbrt A)
372.0ms
(cbrt (cbrt A))
414.0ms
(cbrt (cbrt A))
404.0ms
(cbrt (cbrt A))

simplify4.6s

Counts
65 → 65
Iterations

Useful iterations: done (4.6s)

IterNodesCost
042389
175370
2147340
3304328
4970328
54752328
done5001316

prune374.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 0.0b

regimes969.0ms

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01830
12130
done2130

end0.0ms

sample2.5s

Algorithm
intervals
Results
498.0ms8690×body80nan
475.0ms8935×body80valid