Details

Time bar (total: 5.3s)

sample39.0ms

Algorithm
intervals
Results
7.0ms306×body80nan
7.0ms289×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1144
2144
done144

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.3b

localize7.0ms

Local error

Found 3 expressions with local error:

1.5b
(* c0 (sqrt (/ A (* V l))))
6.9b
(/ A (* V l))
15.5b
(sqrt (/ A (* V l)))

rewrite41.0ms

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:
25.0ms
(* c0 (sqrt (/ A (* V l))))
8.0ms
(/ A (* V l))
6.0ms
(sqrt (/ A (* V l)))

series109.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(* c0 (sqrt (/ A (* V l))))
21.0ms
(/ A (* V l))
34.0ms
(sqrt (/ A (* V l)))

simplify64.0ms

Counts
75 → 75
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0209321
1813296
23055293
35001293
done5001293

prune187.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.1b

localize7.0ms

Local error

Found 3 expressions with local error:

1.5b
(* c0 (sqrt (/ (/ A V) l)))
4.9b
(/ (/ A V) l)
15.5b
(sqrt (/ (/ A V) l))

rewrite70.0ms

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:
35.0ms
(* c0 (sqrt (/ (/ A V) l)))
14.0ms
(/ (/ A V) l)
10.0ms
(sqrt (/ (/ A V) l))

series109.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* c0 (sqrt (/ (/ A V) l)))
21.0ms
(/ (/ A V) l)
39.0ms
(sqrt (/ (/ A V) l))

simplify58.0ms

Counts
200 → 200
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
05781400
120081326
250021290
done50021290

prune587.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

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 pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt l)
1.0ms
(cbrt l)
1.0ms
(cbrt A)
1.0ms
(cbrt A)

series938.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt l)
176.0ms
(cbrt l)
391.0ms
(cbrt A)
189.0ms
(cbrt A)

simplify56.0ms

Counts
56 → 56
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
069156
1145144
2346136
31277136
45001136
done5001136

prune270.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

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 pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt l)
1.0ms
(cbrt l)
1.0ms
(cbrt A)
1.0ms
(cbrt A)

series743.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt l)
184.0ms
(cbrt l)
184.0ms
(cbrt A)
189.0ms
(cbrt A)

simplify57.0ms

Counts
56 → 56
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
069156
1145144
2346136
31277136
45001136
done5001136

prune258.0ms

Pruning

20 alts after pruning (18 fresh and 2 done)

Merged error: 0.0b

regimes570.0ms

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01514
11514
done1514

end0.0ms

sample1.1s

Algorithm
intervals
Results
229.0ms8912×body80valid
223.0ms8798×body80nan