Details

Time bar (total: 21.5s)

sample73.0ms

Algorithm
intervals
Results
27.0ms281×body80valid
16.0ms287×body80nan

simplify5.0ms

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

localize8.0ms

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)))

rewrite40.0ms

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:
24.0ms
(* c0 (sqrt (/ A (* V l))))
8.0ms
(/ A (* V l))
7.0ms
(sqrt (/ A (* V l)))

series136.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(* c0 (sqrt (/ A (* V l))))
22.0ms
(/ A (* V l))
48.0ms
(sqrt (/ A (* V l)))

simplify3.7s

Counts
75 → 75
Iterations

Useful iterations: 2 (102.0ms)

IterNodesCost
0103661
1208611
2586561
31997561
done5000561

prune240.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.8b

localize14.0ms

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))

rewrite116.0ms

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:
56.0ms
(* c0 (sqrt (/ (/ A V) l)))
28.0ms
(/ (/ A V) l)
19.0ms
(sqrt (/ (/ A V) l))

series151.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(* c0 (sqrt (/ (/ A V) l)))
29.0ms
(/ (/ A V) l)
54.0ms
(sqrt (/ (/ A V) l))

simplify2.7s

Counts
200 → 200
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
03102510
15712318
211602222
328632192
done50002192

prune848.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

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)

series1.3s

Counts
4 → 12
Calls
4 calls:
306.0ms
(cbrt V)
290.0ms
(cbrt V)
340.0ms
(cbrt A)
337.0ms
(cbrt A)

simplify2.1s

Counts
56 → 56
Iterations

Useful iterations: 3 (116.0ms)

IterNodesCost
042260
171244
2144220
3298208
4773208
52577208
done5001208

prune400.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

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))

rewrite8.0ms

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

series1.6s

Counts
4 → 12
Calls
4 calls:
311.0ms
(cbrt A)
431.0ms
(cbrt (cbrt A))
456.0ms
(cbrt (cbrt A))
405.0ms
(cbrt (cbrt A))

simplify4.3s

Counts
65 → 65
Iterations

Useful iterations: done (4.2s)

IterNodesCost
042389
175370
2147340
3304328
4970328
54752328
done5001316

prune358.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 0.0b

regimes1.4s

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01830
12130
done2130

end0.0ms

sample2.1s

Algorithm
intervals
Results
668.0ms8935×body80valid
605.0ms8690×body80nan