Details

Time bar (total: 16.8s)

sample49.0ms

Algorithm
intervals
Results
10.0ms315×body80nan
10.0ms284×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
1128
2148
done148

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.9b
(* c0 (sqrt (/ A (* V l))))
3.9b
(/ A (* V l))
17.8b
(sqrt (/ A (* V l)))

rewrite59.0ms

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:
40.0ms
(* c0 (sqrt (/ A (* V l))))
8.0ms
(/ A (* V l))
7.0ms
(sqrt (/ A (* V l)))

series149.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(* c0 (sqrt (/ A (* V l))))
24.0ms
(/ A (* V l))
56.0ms
(sqrt (/ A (* V l)))

simplify3.6s

Counts
81 → 81
Iterations

Useful iterations: 2 (117.0ms)

IterNodesCost
0109705
1214655
2591605
32007605
done5000605

prune267.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.9b
(* c0 (sqrt (/ (/ A V) l)))
4.1b
(/ (/ A V) l)
17.8b
(sqrt (/ (/ A V) l))

rewrite87.0ms

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:
39.0ms
(* c0 (sqrt (/ (/ A V) l)))
13.0ms
(/ (/ A V) l)
15.0ms
(sqrt (/ (/ A V) l))

series147.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(* c0 (sqrt (/ (/ A V) l)))
35.0ms
(/ (/ A V) l)
39.0ms
(sqrt (/ (/ A V) l))

simplify2.3s

Counts
206 → 206
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
03162554
15772362
211612266
328512236
done50002236

prune793.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt V)
0.6b
(cbrt V)
0.6b
(cbrt A)
0.6b
(cbrt A)

rewrite5.0ms

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 V)
1.0ms
(cbrt V)
1.0ms
(cbrt A)
1.0ms
(cbrt A)

series1.1s

Counts
4 → 12
Calls
4 calls:
264.0ms
(cbrt V)
277.0ms
(cbrt V)
307.0ms
(cbrt A)
296.0ms
(cbrt A)

simplify1.6s

Counts
64 → 64
Iterations

Useful iterations: 3 (56.0ms)

IterNodesCost
046284
175268
2148244
3303232
4759232
52538232
done5000232

prune473.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt V)
0.6b
(cbrt V)
0.6b
(cbrt A)
0.6b
(cbrt A)

rewrite6.0ms

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:
2.0ms
(cbrt V)
1.0ms
(cbrt V)
1.0ms
(cbrt A)
1.0ms
(cbrt A)

series1.2s

Counts
4 → 12
Calls
4 calls:
290.0ms
(cbrt V)
298.0ms
(cbrt V)
291.0ms
(cbrt A)
286.0ms
(cbrt A)

simplify1.6s

Counts
64 → 64
Iterations

Useful iterations: 3 (76.0ms)

IterNodesCost
046284
175268
2148244
3303232
4759232
52538232
done5000232

prune374.0ms

Pruning

18 alts after pruning (15 fresh and 3 done)

Merged error: 0.0b

regimes495.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 1.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01321
11521
done1521

end0.0ms

sample2.4s

Algorithm
intervals
Results
528.0ms8923×body80valid
513.0ms9116×body80nan