Details

Time bar (total: 20.7s)

sample55.0ms

Algorithm
intervals
Results
18.0ms288×body80valid
10.0ms278×body80nan

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
1128
2148
done148

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.7b

localize11.0ms

Local error

Found 3 expressions with local error:

1.7b
(* c0 (sqrt (/ A (* V l))))
5.7b
(/ A (* V l))
18.7b
(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:
26.0ms
(* c0 (sqrt (/ A (* V l))))
12.0ms
(/ A (* V l))
8.0ms
(sqrt (/ A (* V l)))

series150.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(* c0 (sqrt (/ A (* V l))))
25.0ms
(/ A (* V l))
45.0ms
(sqrt (/ A (* V l)))

simplify3.4s

Counts
75 → 75
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
0103661
1208611
2586561
31997561
done5000561

prune292.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 7.9b

localize12.0ms

Local error

Found 3 expressions with local error:

1.7b
(* c0 (sqrt (/ (/ A V) l)))
4.0b
(/ (/ A V) l)
18.7b
(sqrt (/ (/ A V) l))

rewrite84.0ms

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)))
23.0ms
(/ (/ A V) l)
16.0ms
(sqrt (/ (/ A V) l))

series149.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(* c0 (sqrt (/ (/ A V) l)))
30.0ms
(/ (/ A V) l)
40.0ms
(sqrt (/ (/ A V) l))

simplify2.2s

Counts
200 → 200
Iterations

Useful iterations: 3 (762.0ms)

IterNodesCost
03102510
15712318
211602222
328632192
done50002192

prune852.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
0.6b
(cbrt A)
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 pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt A)
1.0ms
(cbrt A)
1.0ms
(cbrt l)
1.0ms
(cbrt l)

series999.0ms

Counts
4 → 12
Calls
4 calls:
274.0ms
(cbrt A)
266.0ms
(cbrt A)
256.0ms
(cbrt l)
203.0ms
(cbrt l)

simplify2.1s

Counts
56 → 56
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
042260
171244
2144220
3298208
4773208
52577208
done5001208

prune349.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 4 expressions with local error:

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

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 l)
1.0ms
(cbrt (cbrt l))
1.0ms
(cbrt (cbrt l))
2.0ms
(cbrt (cbrt l))

series1.5s

Counts
4 → 12
Calls
4 calls:
282.0ms
(cbrt l)
355.0ms
(cbrt (cbrt l))
357.0ms
(cbrt (cbrt l))
490.0ms
(cbrt (cbrt l))

simplify4.3s

Counts
65 → 65
Iterations

Useful iterations: done (4.3s)

IterNodesCost
042389
175370
2147340
3304328
4970328
54752328
done5001316

prune409.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 0.0b

regimes1.0s

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
01730
12030
done2030

end0.0ms

sample2.7s

Algorithm
intervals
Results
535.0ms9001×body80nan
518.0ms8926×body80valid