Details

Time bar (total: 15.0s)

sample32.0ms

Algorithm
intervals
Results
7.0ms288×body80valid
7.0ms283×body80nan

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: 17.5b

localize7.0ms

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)))

rewrite19.0ms

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×expm1-log1p-u associate-*l* log1p-expm1-u 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 → 72
Calls
3 calls:
12.0ms
(* 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)))

simplify2.4s

Counts
81 → 81
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0109705
1216655
2594605
31898605
done5001605

prune203.0ms

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×expm1-log1p-u associate-*r* log1p-expm1-u 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 → 72
Calls
3 calls:
12.0ms
(* (sqrt (/ A (* V l))) c0)
3.0ms
(/ A (* V l))
3.0ms
(sqrt (/ A (* V l)))

series128.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(* (sqrt (/ A (* V l))) c0)
19.0ms
(/ A (* V l))
34.0ms
(sqrt (/ A (* V l)))

simplify1.6s

Counts
81 → 81
Iterations

Useful iterations: done (1.6s)

IterNodesCost
0119725
1248684
2799632
33347632
done5001631

prune207.0ms

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)))

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 expm1-log1p-u div-exp log1p-expm1-u 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 → 86
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)))

series106.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ A (* V l))
20.0ms
(/ A (* V l))
31.0ms
(sqrt (/ A (* V l)))
34.0ms
(sqrt (/ A (* V l)))

simplify4.2s

Counts
98 → 98
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
074762
1136720
2405652
31464652
44794652
done5000652

prune289.0ms

Pruning

15 alts after pruning (14 fresh and 1 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)))

rewrite13.0ms

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 expm1-log1p-u div-exp log1p-expm1-u 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 → 86
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)))

series101.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ A (* V l))
19.0ms
(/ A (* V l))
29.0ms
(sqrt (/ A (* V l)))
33.0ms
(sqrt (/ A (* V l)))

simplify3.9s

Counts
98 → 98
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
074762
1136720
2405652
31464652
44794652
done5000652

prune286.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 5.3b

regimes521.0ms

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

sample900.0ms

Algorithm
intervals
Results
236.0ms8871×body80nan
233.0ms8852×body80valid