Details

Time bar (total: 18.0s)

sample56.0ms

Algorithm
intervals
Results
10.0ms295×body80nan
10.0ms283×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
1128
2148
done148

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.8b
(* c0 (sqrt (/ A (* V l))))
5.6b
(/ A (* V l))
15.9b
(sqrt (/ A (* V l)))

rewrite66.0ms

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:
38.0ms
(* c0 (sqrt (/ A (* V l))))
15.0ms
(/ A (* V l))
10.0ms
(sqrt (/ A (* V l)))

series135.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(* c0 (sqrt (/ A (* V l))))
34.0ms
(/ A (* V l))
45.0ms
(sqrt (/ A (* V l)))

simplify3.6s

Counts
75 → 75
Iterations

Useful iterations: 2 (103.0ms)

IterNodesCost
0103661
1208611
2586561
31997561
done5000561

prune239.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 7.5b

localize8.0ms

Local error

Found 3 expressions with local error:

0.8b
(* c0 (sqrt (* (/ 1 V) (/ A l))))
5.1b
(* (/ 1 V) (/ A l))
15.9b
(sqrt (* (/ 1 V) (/ A l)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
27×add-exp-log
25×times-frac
21×*-un-lft-identity
19×add-cube-cbrt
17×associate-*r* add-cbrt-cube
16×associate-*l*
10×pow1
9×prod-exp
8×div-exp
7×unswap-sqr
6×sqrt-div associate-*r/
5×cbrt-unprod
4×cbrt-undiv
3×frac-times pow-prod-down associate-*l/ add-log-exp
2×rec-exp sqrt-pow1 1-exp sqrt-prod *-commutative div-inv
1×pow1/2
Counts
3 → 92
Calls
3 calls:
49.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
34.0ms
(* (/ 1 V) (/ A l))
11.0ms
(sqrt (* (/ 1 V) (/ A l)))

series157.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
21.0ms
(* (/ 1 V) (/ A l))
62.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify2.7s

Counts
101 → 101
Iterations

Useful iterations: 2 (217.0ms)

IterNodesCost
01611072
1393847
21157733
33629733
done5000733

prune378.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.9b

localize18.0ms

Local error

Found 3 expressions with local error:

0.8b
(* c0 (sqrt (/ (/ A V) l)))
5.3b
(/ (/ A V) l)
15.9b
(sqrt (/ (/ A V) l))

rewrite119.0ms

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:
67.0ms
(* c0 (sqrt (/ (/ A V) l)))
21.0ms
(/ (/ A V) l)
20.0ms
(sqrt (/ (/ A V) l))

series140.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(* c0 (sqrt (/ (/ A V) l)))
36.0ms
(/ (/ A V) l)
37.0ms
(sqrt (/ (/ A V) l))

simplify3.1s

Counts
200 → 200
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
03102510
15712318
211602222
328632192
done50002192

prune1.1s

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt V)
0.6b
(cbrt V)
0.7b
(cbrt l)
0.7b
(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 pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt V)
1.0ms
(cbrt V)
1.0ms
(cbrt l)
1.0ms
(cbrt l)

series1.2s

Counts
4 → 12
Calls
4 calls:
321.0ms
(cbrt V)
319.0ms
(cbrt V)
324.0ms
(cbrt l)
258.0ms
(cbrt l)

simplify1.9s

Counts
56 → 56
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
042260
171244
2144220
3298208
4773208
52577208
done5001208

prune357.0ms

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 0.0b

regimes933.0ms

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01523
11921
done1921

end0.0ms

sample1.7s

Algorithm
intervals
Results
345.0ms9078×body80nan
337.0ms8957×body80valid