Details

Time bar (total: 15.6s)

sample25.0ms

Algorithm
intervals
Results
8.0ms62×body1280valid
3.0ms36×body640valid
3.0ms131×body80valid
1.0ms14×body320valid
1.0ms13×body160valid

simplify17.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06242
19242
210242
done10242

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.5b

localize22.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.8b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
14×*-un-lft-identity
13×add-sqr-sqrt
5×add-cube-cbrt add-log-exp
4×difference-of-squares
3×pow1 add-cbrt-cube add-exp-log distribute-lft-out--
2×cbrt-div pow1/3 distribute-lft-out
1×sub-neg flip3-+ flip3-- diff-log flip-+ flip--
Counts
3 → 44
Calls
3 calls:
3.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
38.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series597.0ms

Counts
3 → 9
Calls
3 calls:
121.0ms
(cbrt (+ x 1.0))
250.0ms
(cbrt x)
226.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify2.0s

Counts
53 → 53
Iterations

Useful iterations: done (2.0s)

IterNodesCost
013121754
130717480
272517230
3197616971
done500216768

prune336.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize53.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
12×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
4×pow1 cbrt-div add-cbrt-cube pow1/3 add-exp-log add-log-exp
2×flip3-+ flip-+ distribute-lft-out
Counts
4 → 50
Calls
4 calls:
6.0ms
(cbrt (+ x 1.0))
6.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series821.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(cbrt (+ x 1.0))
127.0ms
(cbrt (+ x 1.0))
265.0ms
(cbrt x)
315.0ms
(cbrt x)

simplify1.8s

Counts
62 → 62
Iterations

Useful iterations: done (1.8s)

IterNodesCost
09319442
120315766
251215608
3147814588
done500014506

prune364.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.2b

localize87.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (cbrt (+ x 1.0)))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
13×*-un-lft-identity
9×add-sqr-sqrt add-cube-cbrt
6×cbrt-div
4×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
2×flip3-+ flip-+ distribute-lft-out
Counts
4 → 53
Calls
4 calls:
5.0ms
(cbrt (+ x 1.0))
7.0ms
(cbrt (cbrt (+ x 1.0)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series783.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(cbrt (+ x 1.0))
137.0ms
(cbrt (cbrt (+ x 1.0)))
268.0ms
(cbrt x)
266.0ms
(cbrt x)

simplify2.4s

Counts
65 → 65
Iterations

Useful iterations: done (2.4s)

IterNodesCost
014722333
132219110
284618901
3258517841
done500117759

prune610.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.2b

localize112.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (cbrt (+ x 1.0)))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
13×*-un-lft-identity
9×add-sqr-sqrt add-cube-cbrt
6×cbrt-div
4×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
2×flip3-+ flip-+ distribute-lft-out
Counts
4 → 53
Calls
4 calls:
6.0ms
(cbrt (+ x 1.0))
7.0ms
(cbrt (cbrt (+ x 1.0)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series817.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(cbrt (+ x 1.0))
158.0ms
(cbrt (cbrt (+ x 1.0)))
290.0ms
(cbrt x)
266.0ms
(cbrt x)

simplify2.3s

Counts
65 → 65
Iterations

Useful iterations: done (2.3s)

IterNodesCost
014722333
132219110
284618901
3258517841
done500117759

prune508.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.2b

regimes286.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010402
114402
done14402

end0.0ms

sample1.5s

Algorithm
intervals
Results
439.0ms302×body160valid
332.0ms1770×body1280valid
278.0ms4061×body80valid
208.0ms1216×body640valid
68.0ms651×body320valid