Details

Time bar (total: 15.3s)

sample31.0ms

Algorithm
intervals
Results
7.0ms288×body80valid
7.0ms283×body80nan

simplify4.0ms

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: 17.5b

localize6.0ms

Local error

Found 3 expressions with local error:

1.2b
(* c0 (sqrt (/ A (* V l))))
4.4b
(/ A (* V l))
15.3b
(sqrt (/ A (* V l)))

rewrite17.0ms

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:
10.0ms
(* c0 (sqrt (/ A (* V l))))
3.0ms
(/ A (* V l))
3.0ms
(sqrt (/ A (* V l)))

series104.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(* c0 (sqrt (/ A (* V l))))
20.0ms
(/ A (* V l))
35.0ms
(sqrt (/ A (* V l)))

simplify2.6s

Counts
75 → 75
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0103661
1210611
2588561
31889561
done5000561

prune207.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 5.3b

localize7.0ms

Local error

Found 3 expressions with local error:

1.2b
(* (sqrt (/ A (* V l))) c0)
4.4b
(/ A (* V l))
15.3b
(sqrt (/ A (* V l)))

rewrite20.0ms

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:
12.0ms
(* (sqrt (/ A (* V l))) c0)
3.0ms
(/ A (* V l))
3.0ms
(sqrt (/ A (* V l)))

series130.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(* (sqrt (/ A (* V l))) c0)
20.0ms
(/ A (* V l))
34.0ms
(sqrt (/ A (* V l)))

simplify1.5s

Counts
75 → 75
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0113681
1241640
2790588
33331588
done5001587

prune197.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.3b

localize9.0ms

Local error

Found 4 expressions with local error:

4.4b
(/ A (* V l))
4.4b
(/ A (* V l))
15.3b
(sqrt (/ A (* V l)))
15.3b
(sqrt (/ A (* V l)))

rewrite16.0ms

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))
5.0ms
(/ A (* V l))
3.0ms
(sqrt (/ A (* V l)))
3.0ms
(sqrt (/ A (* V l)))

series107.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ A (* V l))
20.0ms
(/ A (* V l))
31.0ms
(sqrt (/ A (* V l)))
32.0ms
(sqrt (/ A (* V l)))

simplify4.0s

Counts
90 → 90
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
070710
1132668
2401600
31464600
44805600
done5000600

prune303.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 5.3b

localize10.0ms

Local error

Found 4 expressions with local error:

4.4b
(/ A (* V l))
4.4b
(/ A (* V l))
15.3b
(sqrt (/ A (* V l)))
15.3b
(sqrt (/ A (* V l)))

rewrite17.0ms

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)))
6.0ms
(sqrt (/ A (* V l)))

series110.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ A (* V l))
24.0ms
(/ A (* V l))
32.0ms
(sqrt (/ A (* V l)))
34.0ms
(sqrt (/ A (* V l)))

simplify4.1s

Counts
90 → 90
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
070710
1132668
2401600
31464600
44805600
done5000600

prune265.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 5.3b

regimes570.0ms

Accuracy

32.1% (8.6b remaining)

Error of 14.9b against oracle of 6.3b and baseline of 19.0b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02450
12950
done2950

end0.0ms

sample909.0ms

Algorithm
intervals
Results
236.0ms8852×body80valid
233.0ms8871×body80nan