Details

Time bar (total: 12.6s)

sample62.0ms

Algorithm
intervals
Results
14.0ms310×body80nan
13.0ms286×body80valid

simplify6.0ms

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: 17.7b

localize8.0ms

Local error

Found 3 expressions with local error:

1.2b
(* c0 (sqrt (/ A (* V l))))
4.4b
(/ A (* V l))
14.2b
(sqrt (/ A (* V l)))

rewrite55.0ms

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:
38.0ms
(* c0 (sqrt (/ A (* V l))))
8.0ms
(/ A (* V l))
7.0ms
(sqrt (/ A (* V l)))

series138.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(* c0 (sqrt (/ A (* V l))))
23.0ms
(/ A (* V l))
37.0ms
(sqrt (/ A (* V l)))

simplify2.5s

Counts
75 → 75
Iterations

Useful iterations: 3 (844.0ms)

IterNodesCost
0103661
1218611
2756563
33464561
done5000561

prune199.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 8.3b

localize12.0ms

Local error

Found 4 expressions with local error:

4.4b
(/ A (* V l))
4.4b
(/ A (* V l))
14.2b
(sqrt (/ A (* V l)))
14.2b
(sqrt (/ A (* V l)))

rewrite32.0ms

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

series124.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ A (* V l))
22.0ms
(/ A (* V l))
35.0ms
(sqrt (/ A (* V l)))
40.0ms
(sqrt (/ A (* V l)))

simplify3.0s

Counts
90 → 90
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
070710
1135668
2453600
32106600
done5000600

prune312.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 8.3b

localize24.0ms

Local error

Found 4 expressions with local error:

2.5b
(/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A)))
4.4b
(/ A (* V l))
14.2b
(sqrt (/ A (* V l)))
14.2b
(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
30×add-exp-log
22×sqrt-prod
21×add-sqr-sqrt
20×add-cbrt-cube
18×add-cube-cbrt *-un-lft-identity
12×cbrt-undiv div-exp
11×associate-/r*
9×cbrt-prod
7×div-inv
6×pow1 prod-exp cbrt-unprod
4×associate-/l* add-log-exp
3×rem-sqrt-square
2×frac-2neg sqrt-pow1 pow1/2 sqrt-div clear-num associate-/r/
Counts
4 → 110
Calls
4 calls:
37.0ms
(/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A)))
10.0ms
(/ A (* V l))
12.0ms
(sqrt (/ A (* V l)))
15.0ms
(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

series186.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A)))
22.0ms
(/ A (* V l))
39.0ms
(sqrt (/ A (* V l)))
79.0ms
(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

simplify1.3s

Counts
122 → 122
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01831564
14331469
223081313
done50011275

prune458.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 8.3b

localize23.0ms

Local error

Found 4 expressions with local error:

2.0b
(/ (cbrt A) (* V l))
4.4b
(/ A (* V l))
13.1b
(sqrt (/ (cbrt A) (* V l)))
14.2b
(sqrt (/ A (* V l)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
18×times-frac
17×add-sqr-sqrt sqrt-prod
15×add-cube-cbrt *-un-lft-identity
14×add-exp-log
12×add-cbrt-cube
9×cbrt-prod associate-/l*
6×pow1
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 → 87
Calls
4 calls:
9.0ms
(/ (cbrt A) (* V l))
8.0ms
(/ A (* V l))
8.0ms
(sqrt (/ (cbrt A) (* V l)))
13.0ms
(sqrt (/ A (* V l)))

series284.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(/ (cbrt A) (* V l))
26.0ms
(/ A (* V l))
115.0ms
(sqrt (/ (cbrt A) (* V l)))
37.0ms
(sqrt (/ A (* V l)))

simplify662.0ms

Counts
99 → 99
Iterations

Useful iterations: 2 (127.0ms)

IterNodesCost
0127836
1237789
2854714
done5000714

prune392.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 8.3b

regimes691.0ms

Accuracy

42.1% (7.3b remaining)

Error of 13.5b against oracle of 6.1b and baseline of 18.8b

bsearch1.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02851
13751
done3751

end0.0ms

sample2.0s

Algorithm
intervals
Results
454.0ms8931×body80nan
417.0ms8887×body80valid