Details

Time bar (total: 10.2s)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.1b

localize7.0ms

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×associate-*l* 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 → 66
Calls
3 calls:
10.0ms
(* c0 (sqrt (/ A (* V l))))
3.0ms
(/ A (* V l))
3.0ms
(sqrt (/ A (* V l)))

series102.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* c0 (sqrt (/ A (* V l))))
19.0ms
(/ A (* V l))
34.0ms
(sqrt (/ A (* V l)))

simplify2.4s

Counts
75 → 75
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0103661
1210611
2588561
31889561
done5000561

prune205.0ms

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)))

rewrite82.0ms

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×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 → 106
Calls
4 calls:
0.0ms
(cbrt A)
40.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
24.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
13.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series337.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(cbrt A)
69.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
42.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
55.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify702.0ms

Counts
118 → 118
Iterations

Useful iterations: 2 (273.0ms)

IterNodesCost
01851720
15131620
219231155
done50001155

prune383.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 5.6b

localize7.0ms

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))

rewrite50.0ms

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 rem-sqrt-square div-exp associate-*l* associate-/r* 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 → 191
Calls
3 calls:
27.0ms
(* c0 (sqrt (/ (/ A V) l)))
5.0ms
(/ (/ A V) l)
7.0ms
(sqrt (/ (/ A V) l))

series99.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(* c0 (sqrt (/ (/ A V) l)))
24.0ms
(/ (/ A V) l)
31.0ms
(sqrt (/ (/ A V) l))

simplify1.5s

Counts
200 → 200
Iterations

Useful iterations: 3 (883.0ms)

IterNodesCost
03102510
15772318
212562222
332522192
done50002192

prune626.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

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 pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
0.0ms
(cbrt l)
0.0ms
(cbrt l)
0.0ms
(cbrt A)
1.0ms
(cbrt A)

series711.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt l)
184.0ms
(cbrt l)
175.0ms
(cbrt A)
176.0ms
(cbrt A)

simplify1.4s

Counts
56 → 56
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
042260
171244
2144220
3293208
4683208
52041208
done5001208

prune194.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 0.0b

regimes402.0ms

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

sample915.0ms

Algorithm
intervals
Results
238.0ms8907×body80valid
230.0ms8937×body80nan