Details

Time bar (total: 15.8s)

sample35.0ms

Algorithm
intervals
Results
9.0ms278×body80nan
8.0ms293×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
088
1128
2148
done148

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.8b

localize6.0ms

Local error

Found 3 expressions with local error:

1.4b
(* c0 (sqrt (/ A (* V l))))
3.4b
(/ A (* V l))
15.5b
(sqrt (/ A (* V l)))

rewrite18.0ms

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:
11.0ms
(* c0 (sqrt (/ A (* V l))))
3.0ms
(/ A (* V l))
3.0ms
(sqrt (/ A (* V l)))

series101.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(* c0 (sqrt (/ A (* V l))))
24.0ms
(/ A (* V l))
31.0ms
(sqrt (/ A (* V l)))

simplify2.6s

Counts
75 → 75
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
0103661
1210613
2590561
31897561
done5001561

prune192.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 7.1b

localize10.0ms

Local error

Found 4 expressions with local error:

3.4b
(/ A (* V l))
3.4b
(/ A (* V l))
15.5b
(sqrt (/ A (* V l)))
15.5b
(sqrt (/ A (* V l)))

rewrite14.0ms

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:
3.0ms
(/ A (* V l))
3.0ms
(/ A (* V l))
3.0ms
(sqrt (/ A (* V l)))
3.0ms
(sqrt (/ A (* V l)))

series109.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ A (* V l))
21.0ms
(/ A (* V l))
32.0ms
(sqrt (/ A (* V l)))
36.0ms
(sqrt (/ A (* V l)))

simplify4.5s

Counts
90 → 90
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
070710
1132668
2403600
31466600
44817600
done5000600

prune286.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 7.1b

localize16.0ms

Local error

Found 4 expressions with local error:

3.4b
(/ A (* V l))
15.5b
(sqrt (/ A (* V l)))
17.9b
(cbrt (/ A (* V l)))
17.9b
(cbrt (/ A (* V l)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
13×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity times-frac
9×add-exp-log add-cbrt-cube
7×sqrt-prod
5×pow1
4×div-inv add-log-exp
3×associate-/l*
2×cbrt-undiv cbrt-div pow1/3 div-exp
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 sqrt-div prod-exp clear-num associate-/r* cbrt-unprod
Counts
4 → 71
Calls
4 calls:
3.0ms
(/ A (* V l))
3.0ms
(sqrt (/ A (* V l)))
2.0ms
(cbrt (/ A (* V l)))
2.0ms
(cbrt (/ A (* V l)))

series221.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ A (* V l))
32.0ms
(sqrt (/ A (* V l)))
85.0ms
(cbrt (/ A (* V l)))
83.0ms
(cbrt (/ A (* V l)))

simplify2.1s

Counts
83 → 83
Iterations

Useful iterations: 3 (589.0ms)

IterNodesCost
0112767
1205734
2570658
32033646
done5001646

prune344.0ms

Pruning

16 alts after pruning (13 fresh and 3 done)

Merged error: 7.1b

localize22.0ms

Local error

Found 4 expressions with local error:

17.9b
(cbrt (/ A (* V l)))
17.9b
(cbrt (/ A (* V l)))
17.9b
(cbrt (/ A (* V l)))
17.9b
(cbrt (/ A (* V l)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
4×pow1 add-exp-log cbrt-div pow1/3 add-cbrt-cube div-inv add-log-exp
Counts
4 → 64
Calls
4 calls:
2.0ms
(cbrt (/ A (* V l)))
2.0ms
(cbrt (/ A (* V l)))
2.0ms
(cbrt (/ A (* V l)))
2.0ms
(cbrt (/ A (* V l)))

series343.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(cbrt (/ A (* V l)))
86.0ms
(cbrt (/ A (* V l)))
86.0ms
(cbrt (/ A (* V l)))
86.0ms
(cbrt (/ A (* V l)))

simplify2.9s

Counts
76 → 76
Iterations

Useful iterations: 4 (500.0ms)

IterNodesCost
066824
1109808
2220748
3610724
41966676
done5001676

prune363.0ms

Pruning

16 alts after pruning (12 fresh and 4 done)

Merged error: 7.1b

regimes721.0ms

Accuracy

51.2% (6.1b remaining)

Error of 12.9b against oracle of 6.8b and baseline of 19.3b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03254
14054
done4054

end0.0ms

sample938.0ms

Algorithm
intervals
Results
252.0ms8938×body80valid
235.0ms8905×body80nan