Details

Time bar (total: 19.0s)

sample55.0ms

Algorithm
intervals
Results
12.0ms281×body80valid
11.0ms287×body80nan

simplify6.0ms

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: 20.7b

localize7.0ms

Local error

Found 3 expressions with local error:

1.6b
(* c0 (sqrt (/ A (* V l))))
4.2b
(/ A (* V l))
17.1b
(sqrt (/ A (* V l)))

rewrite57.0ms

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:
35.0ms
(* c0 (sqrt (/ A (* V l))))
11.0ms
(/ A (* V l))
8.0ms
(sqrt (/ A (* V l)))

series152.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(* c0 (sqrt (/ A (* V l))))
30.0ms
(/ A (* V l))
45.0ms
(sqrt (/ A (* V l)))

simplify3.4s

Counts
81 → 81
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
0109705
1214655
2591605
32007605
done5000605

prune228.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.8b

localize7.0ms

Local error

Found 3 expressions with local error:

1.6b
(* c0 (sqrt (/ (/ A V) l)))
4.5b
(/ (/ A V) l)
17.1b
(sqrt (/ (/ A V) l))

rewrite75.0ms

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:
38.0ms
(* c0 (sqrt (/ (/ A V) l)))
16.0ms
(/ (/ A V) l)
10.0ms
(sqrt (/ (/ A V) l))

series119.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(* c0 (sqrt (/ (/ A V) l)))
23.0ms
(/ (/ A V) l)
41.0ms
(sqrt (/ (/ A V) l))

simplify2.2s

Counts
206 → 206
Iterations

Useful iterations: 3 (874.0ms)

IterNodesCost
03162554
15772362
211612266
328512236
done50002236

prune783.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

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

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

series1.1s

Counts
4 → 12
Calls
4 calls:
312.0ms
(cbrt V)
266.0ms
(cbrt V)
291.0ms
(cbrt A)
263.0ms
(cbrt A)

simplify1.7s

Counts
64 → 64
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
046284
175268
2148244
3303232
4759232
52538232
done5000232

prune386.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×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 → 61
Calls
4 calls:
1.0ms
(cbrt A)
1.0ms
(cbrt (cbrt A))
1.0ms
(cbrt (cbrt A))
2.0ms
(cbrt (cbrt A))

series1.5s

Counts
4 → 12
Calls
4 calls:
268.0ms
(cbrt A)
386.0ms
(cbrt (cbrt A))
408.0ms
(cbrt (cbrt A))
393.0ms
(cbrt (cbrt A))

simplify4.3s

Counts
73 → 73
Iterations

Useful iterations: done (4.3s)

IterNodesCost
046419
179400
2151370
3319358
4972358
54693358
done5000346

prune451.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 0.0b

regimes554.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01830
12130
done2130

end0.0ms

sample1.9s

Algorithm
intervals
Results
483.0ms8935×body80valid
425.0ms8690×body80nan