Details

Time bar (total: 15.4s)

sample32.0ms

Algorithm
intervals
Results
6.0ms275×body80valid
5.0ms233×body80nan

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
1128
2148
done148

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.6b

localize11.0ms

Local error

Found 3 expressions with local error:

1.6b
(* c0 (sqrt (/ A (* V l))))
5.0b
(/ A (* V l))
15.8b
(sqrt (/ A (* V l)))

rewrite37.0ms

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:
22.0ms
(* c0 (sqrt (/ A (* V l))))
7.0ms
(/ A (* V l))
7.0ms
(sqrt (/ A (* V l)))

series107.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(* c0 (sqrt (/ A (* V l))))
21.0ms
(/ A (* V l))
37.0ms
(sqrt (/ A (* V l)))

simplify2.7s

Counts
81 → 81
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
0109705
1214655
2591605
32007605
done5000605

prune204.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.7b

localize7.0ms

Local error

Found 3 expressions with local error:

1.6b
(* (sqrt (/ A (* V l))) c0)
5.0b
(/ A (* V l))
15.8b
(sqrt (/ A (* V l)))

rewrite40.0ms

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:
25.0ms
(* (sqrt (/ A (* V l))) c0)
7.0ms
(/ A (* V l))
6.0ms
(sqrt (/ A (* V l)))

series140.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(* (sqrt (/ A (* V l))) c0)
21.0ms
(/ A (* V l))
37.0ms
(sqrt (/ A (* V l)))

simplify2.4s

Counts
81 → 81
Iterations

Useful iterations: 2 (110.0ms)

IterNodesCost
0119725
1246684
2760632
32783632
done5000632

prune194.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.7b

localize6.0ms

Local error

Found 3 expressions with local error:

1.6b
(* c0 (sqrt (/ A (* V l))))
5.0b
(/ A (* V l))
15.8b
(sqrt (/ A (* V l)))

rewrite39.0ms

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:
22.0ms
(* c0 (sqrt (/ A (* V l))))
9.0ms
(/ A (* V l))
6.0ms
(sqrt (/ A (* V l)))

series105.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* c0 (sqrt (/ A (* V l))))
24.0ms
(/ A (* V l))
33.0ms
(sqrt (/ A (* V l)))

simplify2.7s

Counts
81 → 81
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
0109705
1214655
2591605
32007605
done5000605

prune175.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.7b

localize9.0ms

Local error

Found 4 expressions with local error:

5.0b
(/ A (* V l))
5.0b
(/ A (* V l))
15.8b
(sqrt (/ A (* V l)))
15.8b
(sqrt (/ A (* V l)))

rewrite31.0ms

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:
10.0ms
(/ A (* V l))
7.0ms
(/ A (* V l))
6.0ms
(sqrt (/ A (* V l)))
6.0ms
(sqrt (/ A (* V l)))

series112.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ A (* V l))
24.0ms
(/ A (* V l))
33.0ms
(sqrt (/ A (* V l)))
33.0ms
(sqrt (/ A (* V l)))

simplify4.6s

Counts
98 → 98
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
074762
1134720
2397652
31543652
44940652
done5000652

prune276.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 4.7b

regimes539.0ms

Accuracy

56% (5.4b remaining)

Error of 11.7b against oracle of 6.3b and baseline of 18.6b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02551
12951
done2951

end0.0ms

sample1.0s

Algorithm
intervals
Results
225.0ms8915×body80valid
212.0ms9041×body80nan