Details

Time bar (total: 22.7s)

sample62.0ms

Algorithm
intervals
Results
13.0ms282×body80valid
12.0ms252×body80nan

simplify8.0ms

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: 19.8b

localize12.0ms

Local error

Found 3 expressions with local error:

1.3b
(* c0 (sqrt (/ A (* V l))))
3.9b
(/ A (* V l))
16.8b
(sqrt (/ A (* V l)))

rewrite61.0ms

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:
32.0ms
(* c0 (sqrt (/ A (* V l))))
20.0ms
(/ A (* V l))
7.0ms
(sqrt (/ A (* V l)))

series130.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(* c0 (sqrt (/ A (* V l))))
32.0ms
(/ A (* V l))
36.0ms
(sqrt (/ A (* V l)))

simplify3.8s

Counts
75 → 75
Iterations

Useful iterations: 2 (106.0ms)

IterNodesCost
0103661
1208611
2586561
31997561
done5000561

prune256.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.8b

localize12.0ms

Local error

Found 3 expressions with local error:

1.3b
(* (sqrt (/ A (* V l))) c0)
3.9b
(/ A (* V l))
16.8b
(sqrt (/ A (* V l)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×sqrt-prod
11×add-cube-cbrt *-un-lft-identity
10×add-exp-log associate-*l* add-cbrt-cube
9×times-frac
6×pow1
3×associate-*r* 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 pow-prod-down associate-*l/ clear-num associate-/r* *-commutative
Counts
3 → 66
Calls
3 calls:
33.0ms
(* (sqrt (/ A (* V l))) c0)
8.0ms
(/ A (* V l))
6.0ms
(sqrt (/ A (* V l)))

series202.0ms

Counts
3 → 9
Calls
3 calls:
117.0ms
(* (sqrt (/ A (* V l))) c0)
30.0ms
(/ A (* V l))
55.0ms
(sqrt (/ A (* V l)))

simplify2.8s

Counts
75 → 75
Iterations

Useful iterations: 2 (118.0ms)

IterNodesCost
0113681
1239640
2752588
32754588
done5001588

prune227.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.8b

localize18.0ms

Local error

Found 4 expressions with local error:

3.9b
(/ A (* V l))
3.9b
(/ A (* V l))
16.8b
(sqrt (/ A (* V l)))
16.8b
(sqrt (/ A (* V l)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-sqr-sqrt sqrt-prod add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity times-frac
6×pow1 associate-/l*
4×cbrt-undiv div-exp div-inv add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 sqrt-div prod-exp clear-num associate-/r* cbrt-unprod
Counts
4 → 78
Calls
4 calls:
11.0ms
(/ A (* V l))
8.0ms
(/ A (* V l))
11.0ms
(sqrt (/ A (* V l)))
7.0ms
(sqrt (/ A (* V l)))

series162.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ A (* V l))
33.0ms
(/ A (* V l))
56.0ms
(sqrt (/ A (* V l)))
40.0ms
(sqrt (/ A (* V l)))

simplify7.0s

Counts
90 → 90
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
070710
1130668
2390600
31545600
44883600
done5000600

prune402.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.8b

localize34.0ms

Local error

Found 4 expressions with local error:

16.8b
(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (cbrt (/ A (* V l)))))
19.2b
(cbrt (/ A (* V l)))
19.2b
(cbrt (/ A (* V l)))
19.2b
(cbrt (/ A (* V l)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1
21×cbrt-prod
15×cbrt-div sqrt-pow1
12×pow1/3
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac pow-prod-up
7×sqrt-div
6×pow-plus
5×frac-times pow-prod-down associate-*l/
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-*r/ pow-sqr div-inv
2×pow2
1×pow1/2 pow3 sqrt-prod
Counts
4 → 79
Calls
4 calls:
51.0ms
(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (cbrt (/ A (* V l)))))
16.0ms
(cbrt (/ A (* V l)))
5.0ms
(cbrt (/ A (* V l)))
5.0ms
(cbrt (/ A (* V l)))

series467.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (cbrt (/ A (* V l)))))
130.0ms
(cbrt (/ A (* V l)))
125.0ms
(cbrt (/ A (* V l)))
138.0ms
(cbrt (/ A (* V l)))

simplify3.1s

Counts
91 → 91
Iterations

Useful iterations: done (3.1s)

IterNodesCost
01181108
1184985
2317813
3780765
42134729
done5000672

prune461.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 6.8b

regimes757.0ms

Accuracy

52.8% (6.1b remaining)

Error of 12.6b against oracle of 6.5b and baseline of 19.5b

bsearch1.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04070
14970
done4970

end0.0ms

sample2.5s

Algorithm
intervals
Results
545.0ms9089×body80nan
491.0ms8901×body80valid