Details

Time bar (total: 17.4s)

sample73.0ms

Algorithm
intervals
Results
17.0ms284×body80valid
15.0ms315×body80nan

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
1128
2148
done148

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.9b

localize14.0ms

Local error

Found 3 expressions with local error:

0.9b
(* c0 (sqrt (/ A (* V l))))
3.9b
(/ A (* V l))
17.8b
(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:
39.0ms
(* c0 (sqrt (/ A (* V l))))
14.0ms
(/ A (* V l))
12.0ms
(sqrt (/ A (* V l)))

series119.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(* c0 (sqrt (/ A (* V l))))
22.0ms
(/ A (* V l))
38.0ms
(sqrt (/ A (* V l)))

simplify3.8s

Counts
75 → 75
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
0103661
1208611
2586561
31997561
done5000561

prune200.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.9b
(* c0 (sqrt (/ (/ A V) l)))
4.1b
(/ (/ A V) l)
17.8b
(sqrt (/ (/ A V) l))

rewrite69.0ms

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:
35.0ms
(* c0 (sqrt (/ (/ A V) l)))
11.0ms
(/ (/ A V) l)
10.0ms
(sqrt (/ (/ A V) l))

series127.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(* c0 (sqrt (/ (/ A V) l)))
22.0ms
(/ (/ A V) l)
35.0ms
(sqrt (/ (/ A V) l))

simplify2.4s

Counts
200 → 200
Iterations

Useful iterations: 3 (934.0ms)

IterNodesCost
03102510
15712318
211602222
328632192
done50002192

prune835.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

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 A)
2.0ms
(cbrt A)

series1.2s

Counts
4 → 12
Calls
4 calls:
287.0ms
(cbrt V)
264.0ms
(cbrt V)
305.0ms
(cbrt A)
340.0ms
(cbrt A)

simplify2.1s

Counts
56 → 56
Iterations

Useful iterations: 3 (104.0ms)

IterNodesCost
042260
171244
2144220
3298208
4773208
52577208
done5001208

prune343.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

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 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 A)
1.0ms
(cbrt A)

series1.1s

Counts
4 → 12
Calls
4 calls:
271.0ms
(cbrt V)
261.0ms
(cbrt V)
308.0ms
(cbrt A)
268.0ms
(cbrt A)

simplify1.7s

Counts
56 → 56
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
042260
171244
2144220
3298208
4773208
52577208
done5001208

prune292.0ms

Pruning

18 alts after pruning (15 fresh and 3 done)

Merged error: 0.0b

regimes548.0ms

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

sample2.3s

Algorithm
intervals
Results
444.0ms8923×body80valid
408.0ms9116×body80nan