Details

Time bar (total: 11.4s)

sample36.0ms

Algorithm
intervals
Results
10.0ms294×body80valid
8.0ms307×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: 18.7b

localize6.0ms

Local error

Found 3 expressions with local error:

1.2b
(* c0 (sqrt (/ A (* V l))))
5.5b
(/ A (* V l))
15.1b
(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:
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:
45.0ms
(* c0 (sqrt (/ A (* V l))))
25.0ms
(/ A (* V l))
31.0ms
(sqrt (/ A (* V l)))

simplify1.3s

Counts
81 → 81
Iterations

Useful iterations: 2 (253.0ms)

IterNodesCost
0109705
1216655
2696605
32323605
done5001605

prune211.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 8.2b

localize6.0ms

Local error

Found 3 expressions with local error:

1.2b
(* c0 (sqrt (/ (/ A V) l)))
4.6b
(/ (/ A V) l)
15.1b
(sqrt (/ (/ A V) l))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
213×times-frac
134×add-sqr-sqrt
117×add-cube-cbrt *-un-lft-identity
89×sqrt-prod
46×associate-*r*
13×div-inv associate-/l*
10×add-exp-log add-cbrt-cube
6×pow1
4×unswap-sqr
3×cbrt-undiv expm1-log1p-u rem-sqrt-square div-exp associate-*l* associate-/r* log1p-expm1-u add-log-exp
2×sqrt-div
1×frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down prod-exp clear-num *-commutative cbrt-unprod associate-/l/
Counts
3 → 197
Calls
3 calls:
27.0ms
(* c0 (sqrt (/ (/ A V) l)))
6.0ms
(/ (/ A V) l)
7.0ms
(sqrt (/ (/ A V) l))

series98.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* c0 (sqrt (/ (/ A V) l)))
19.0ms
(/ (/ A V) l)
31.0ms
(sqrt (/ (/ A V) l))

simplify1.2s

Counts
206 → 206
Iterations

Useful iterations: 2 (231.0ms)

IterNodesCost
03162554
15832362
216732266
done50002266

prune599.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 1.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt V)
0.6b
(cbrt V)
1.2b
(* c0 (* (fabs (/ (cbrt A) (cbrt V))) (sqrt (/ (/ (cbrt A) (cbrt V)) l))))
4.4b
(sqrt (/ (/ (cbrt A) (cbrt V)) l))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
237×times-frac
138×add-sqr-sqrt
124×sqrt-prod
123×add-cube-cbrt *-un-lft-identity
118×cbrt-prod
10×pow1
9×add-exp-log add-cbrt-cube
6×rem-sqrt-square
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×pow1/3 sqrt-div associate-*r/
1×sqrt-pow1 pow1/2 associate-*r* *-commutative
Counts
4 → 189
Calls
4 calls:
0.0ms
(cbrt V)
1.0ms
(cbrt V)
54.0ms
(* c0 (* (fabs (/ (cbrt A) (cbrt V))) (sqrt (/ (/ (cbrt A) (cbrt V)) l))))
20.0ms
(sqrt (/ (/ (cbrt A) (cbrt V)) l))

series668.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt V)
174.0ms
(cbrt V)
155.0ms
(* c0 (* (fabs (/ (cbrt A) (cbrt V))) (sqrt (/ (/ (cbrt A) (cbrt V)) l))))
163.0ms
(sqrt (/ (/ (cbrt A) (cbrt V)) l))

simplify867.0ms

Counts
201 → 201
Iterations

Useful iterations: done (854.0ms)

IterNodesCost
05543728
110383457
226723284
done50003283

prune769.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.5b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt V))
0.6b
(cbrt (cbrt V))
0.6b
(cbrt (cbrt V))
1.2b
(* c0 (* (fabs (/ (cbrt A) (cbrt V))) (* (sqrt (/ (/ (cbrt (* (cbrt A) (cbrt A))) (* (cbrt (cbrt V)) (cbrt (cbrt V)))) (* (cbrt l) (cbrt l)))) (sqrt (/ (/ (cbrt (cbrt A)) (cbrt (cbrt V))) (cbrt l))))))

rewrite714.0ms

Algorithm
rewrite-expression-head
Rules
27×cbrt-prod
13×pow1 add-exp-log add-cbrt-cube
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*r/
6×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u sqrt-div log1p-expm1-u add-log-exp
3×pow1/3 associate-*l*
1×frac-times associate-*r* associate-*l/ *-commutative
Counts
4 → 74
Calls
4 calls:
1.0ms
(cbrt (cbrt V))
1.0ms
(cbrt (cbrt V))
1.0ms
(cbrt (cbrt V))
710.0ms
(* c0 (* (fabs (/ (cbrt A) (cbrt V))) (* (sqrt (/ (/ (cbrt (* (cbrt A) (cbrt A))) (* (cbrt (cbrt V)) (cbrt (cbrt V)))) (* (cbrt l) (cbrt l)))) (sqrt (/ (/ (cbrt (cbrt A)) (cbrt (cbrt V))) (cbrt l))))))

series890.0ms

Counts
4 → 12
Calls
4 calls:
237.0ms
(cbrt (cbrt V))
245.0ms
(cbrt (cbrt V))
240.0ms
(cbrt (cbrt V))
167.0ms
(* c0 (* (fabs (/ (cbrt A) (cbrt V))) (* (sqrt (/ (/ (cbrt (* (cbrt A) (cbrt A))) (* (cbrt (cbrt V)) (cbrt (cbrt V)))) (* (cbrt l) (cbrt l)))) (sqrt (/ (/ (cbrt (cbrt A)) (cbrt (cbrt V))) (cbrt l))))))

simplify1.6s

Counts
86 → 86
Iterations

Useful iterations: 3 (417.0ms)

IterNodesCost
01451822
13201652
29841440
345391431
done50001431

prune454.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.0b

regimes886.0ms

Accuracy

59.1% (1.0b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 2.7b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
040109
148109
done48109

end0.0ms

sample904.0ms

Algorithm
intervals
Results
246.0ms8887×body80valid
226.0ms8792×body80nan