Details

Time bar (total: 10.4s)

sample30.0ms

Algorithm
intervals
Results
7.0ms277×body80valid
6.0ms257×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: 22.1b

localize10.0ms

Local error

Found 3 expressions with local error:

2.0b
(* c0 (sqrt (/ A (* V l))))
7.2b
(/ A (* V l))
14.9b
(sqrt (/ A (* V l)))

rewrite18.0ms

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:
10.0ms
(* c0 (sqrt (/ A (* V l))))
3.0ms
(/ A (* V l))
3.0ms
(sqrt (/ A (* V l)))

series104.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(* c0 (sqrt (/ A (* V l))))
20.0ms
(/ A (* V l))
32.0ms
(sqrt (/ A (* V l)))

simplify2.4s

Counts
81 → 81
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0109705
1216655
2594605
31898605
done5001605

prune223.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 7.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
2.0b
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
2.0b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
14.9b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
28×times-frac
27×add-exp-log
26×associate-*r*
22×add-cube-cbrt *-un-lft-identity
20×add-cbrt-cube
14×cbrt-prod
11×pow1
10×associate-*l*
9×prod-exp cbrt-unprod
7×cbrt-undiv div-exp unswap-sqr
6×sqrt-div associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-times pow-prod-down associate-*l/
2×sqrt-pow1 sqrt-prod *-commutative div-inv
1×pow1/2 pow1/3
Counts
4 → 114
Calls
4 calls:
1.0ms
(cbrt A)
43.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
23.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
13.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series539.0ms

Counts
4 → 12
Calls
4 calls:
362.0ms
(cbrt A)
74.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
49.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
53.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify697.0ms

Counts
126 → 126
Iterations

Useful iterations: 2 (250.0ms)

IterNodesCost
01931812
15211712
219371223
done50011223

prune400.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 5.6b

localize9.0ms

Local error

Found 3 expressions with local error:

2.0b
(* c0 (sqrt (/ (/ A V) l)))
3.1b
(/ (/ A V) l)
14.9b
(sqrt (/ (/ A V) l))

rewrite48.0ms

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

series102.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(* c0 (sqrt (/ (/ A V) l)))
20.0ms
(/ (/ A V) l)
36.0ms
(sqrt (/ (/ A V) l))

simplify1.6s

Counts
206 → 206
Iterations

Useful iterations: 3 (916.0ms)

IterNodesCost
03162554
15832362
212622266
332592236
done50002236

prune612.0ms

Pruning

19 alts after pruning (19 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)
0.6b
(cbrt A)
0.6b
(cbrt A)

rewrite3.0ms

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:
0.0ms
(cbrt l)
0.0ms
(cbrt l)
0.0ms
(cbrt A)
1.0ms
(cbrt A)

series728.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt l)
190.0ms
(cbrt l)
181.0ms
(cbrt A)
176.0ms
(cbrt A)

simplify1.2s

Counts
64 → 64
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
046284
175268
2148244
3297232
4691232
52069232
done5000232

prune239.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 0.0b

regimes396.0ms

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01321
11521
done1521

end0.0ms

sample885.0ms

Algorithm
intervals
Results
233.0ms8937×body80nan
226.0ms8907×body80valid