Details

Time bar (total: 12.3s)

sample39.0ms

Algorithm
intervals
Results
7.0ms316×body80nan
7.0ms304×body80valid

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: 20.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.9b
(* c0 (sqrt (/ A (* V l))))
5.8b
(/ A (* V l))
15.3b
(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-*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:
25.0ms
(* c0 (sqrt (/ A (* V l))))
7.0ms
(/ A (* V l))
6.0ms
(sqrt (/ A (* V l)))

series104.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(* c0 (sqrt (/ A (* V l))))
20.0ms
(/ A (* V l))
33.0ms
(sqrt (/ A (* V l)))

simplify2.6s

Counts
81 → 81
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
0109705
1214655
2591605
32007605
done5000605

prune212.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.3b

localize7.0ms

Local error

Found 3 expressions with local error:

0.9b
(* c0 (sqrt (/ (/ A V) l)))
4.1b
(/ (/ A V) l)
15.3b
(sqrt (/ (/ A V) l))

rewrite70.0ms

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:
34.0ms
(* c0 (sqrt (/ (/ A V) l)))
11.0ms
(/ (/ A V) l)
14.0ms
(sqrt (/ (/ A V) l))

series112.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(* c0 (sqrt (/ (/ A V) l)))
21.0ms
(/ (/ A V) l)
39.0ms
(sqrt (/ (/ A V) l))

simplify2.0s

Counts
206 → 206
Iterations

Useful iterations: 3 (890.0ms)

IterNodesCost
03162554
15772362
211612266
328512236
done50002236

prune594.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt l)
0.6b
(cbrt l)
0.7b
(cbrt A)
0.7b
(cbrt A)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt l)
1.0ms
(cbrt l)
1.0ms
(cbrt A)
1.0ms
(cbrt A)

series750.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt l)
184.0ms
(cbrt l)
192.0ms
(cbrt A)
185.0ms
(cbrt A)

simplify1.3s

Counts
64 → 64
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
046284
175268
2148244
3303232
4759232
52538232
done5000232

prune310.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt l)
0.6b
(cbrt l)
0.7b
(cbrt A)
0.7b
(cbrt A)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt l)
1.0ms
(cbrt l)
1.0ms
(cbrt A)
1.0ms
(cbrt A)

series773.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(cbrt l)
193.0ms
(cbrt l)
196.0ms
(cbrt A)
190.0ms
(cbrt A)

simplify1.3s

Counts
64 → 64
Iterations

Useful iterations: 3 (60.0ms)

IterNodesCost
046284
175268
2148244
3303232
4759232
52538232
done5000232

prune281.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 0.0b

regimes713.0ms

Accuracy

0% (1.4b remaining)

Error of 1.5b against oracle of 0.1b and baseline of 1.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01730
12030
done2030

end0.0ms

sample1.1s

Algorithm
intervals
Results
217.0ms8938×body80valid
214.0ms9068×body80nan