Details

Time bar (total: 17.1s)

sample61.0ms

Algorithm
intervals
Results
12.0ms295×body80nan
12.0ms281×body80valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
1128
2148
done148

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.1b

localize17.0ms

Local error

Found 3 expressions with local error:

1.8b
(* c0 (sqrt (/ A (* V l))))
5.4b
(/ A (* V l))
15.9b
(sqrt (/ A (* V l)))

rewrite101.0ms

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:
47.0ms
(* c0 (sqrt (/ A (* V l))))
35.0ms
(/ A (* V l))
14.0ms
(sqrt (/ A (* V l)))

series163.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(* c0 (sqrt (/ A (* V l))))
39.0ms
(/ A (* V l))
50.0ms
(sqrt (/ A (* V l)))

simplify4.1s

Counts
81 → 81
Iterations

Useful iterations: 2 (109.0ms)

IterNodesCost
0109705
1214655
2591605
32007605
done5000605

prune252.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
1.8b
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
2.7b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
15.9b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite205.0ms

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:
3.0ms
(cbrt A)
126.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
40.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
29.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series536.0ms

Counts
4 → 12
Calls
4 calls:
331.0ms
(cbrt A)
75.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
52.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
77.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify1.5s

Counts
126 → 126
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01931812
14991712
218621223
done50001012

prune486.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 3.7b

localize9.0ms

Local error

Found 3 expressions with local error:

1.8b
(* c0 (sqrt (/ (/ A V) l)))
4.2b
(/ (/ A V) l)
15.9b
(sqrt (/ (/ A V) l))

rewrite72.0ms

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:
40.0ms
(* c0 (sqrt (/ (/ A V) l)))
11.0ms
(/ (/ A V) l)
10.0ms
(sqrt (/ (/ A V) l))

series141.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(* c0 (sqrt (/ (/ A V) l)))
29.0ms
(/ (/ A V) l)
42.0ms
(sqrt (/ (/ A V) l))

simplify2.3s

Counts
206 → 206
Iterations

Useful iterations: 3 (943.0ms)

IterNodesCost
03162554
15772362
211612266
328512236
done50002236

prune719.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt V)
0.6b
(cbrt V)
0.6b
(cbrt l)
0.6b
(cbrt l)

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 l)
1.0ms
(cbrt l)

series1.0s

Counts
4 → 12
Calls
4 calls:
231.0ms
(cbrt V)
263.0ms
(cbrt V)
264.0ms
(cbrt l)
245.0ms
(cbrt l)

simplify1.7s

Counts
64 → 64
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
046284
175268
2148244
3303232
4759232
52538232
done5000232

prune327.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.0b

regimes704.0ms

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

sample2.7s

Algorithm
intervals
Results
511.0ms8886×body80valid
509.0ms8886×body80nan