Details

Time bar (total: 16.0s)

sample43.0ms

Algorithm
intervals
Results
13.0ms54×body1280valid
8.0ms47×body640valid
5.0ms118×body80valid
4.0ms28×body320valid
1.0ms9×body160valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done10
210
19
06

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.9b

localize23.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.5b
(cbrt x)
3.8b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite73.0ms

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)
68.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series647.0ms

Counts
3 → 9
Calls
3 calls:
101.0ms
(cbrt (+ x 1.0))
327.0ms
(cbrt x)
218.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify2.4s

Counts
53 → 53
Iterations
IterNodes
done5002
33704
2938
1313
0131

prune340.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
16.0ms
(* (cbrt x) (cbrt x))
2.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
289.0ms
(* (cbrt x) (cbrt x))
340.0ms
(cbrt x)
348.0ms
(cbrt x)
221.0ms
(cbrt x)

simplify1.6s

Counts
85 → 85
Iterations
IterNodes
done5000
2727
1138
061

prune496.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.2b

localize70.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))

series1.6s

Counts
4 → 12
Calls
4 calls:
323.0ms
(cbrt x)
396.0ms
(cbrt (cbrt x))
416.0ms
(cbrt (cbrt x))
431.0ms
(cbrt (cbrt x))

simplify1.4s

Counts
65 → 65
Iterations
IterNodes
done5000
42270
3644
2187
177
042

prune542.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.2b

localize177.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.6b
(cbrt (cbrt (cbrt x)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
37×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
Counts
4 → 54
Calls
4 calls:
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
5.0ms
(cbrt (* (cbrt x) (cbrt x)))
3.0ms
(cbrt (cbrt (cbrt x)))

series1.4s

Counts
4 → 12
Calls
4 calls:
342.0ms
(cbrt (cbrt x))
369.0ms
(cbrt (cbrt x))
367.0ms
(cbrt (* (cbrt x) (cbrt x)))
354.0ms
(cbrt (cbrt (cbrt x)))

simplify1.7s

Counts
66 → 66
Iterations
IterNodes
done5000
43432
31003
2312
1124
070

prune486.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.1b

regimes171.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done14
114
010

end0.0ms

sample1.5s

Algorithm
intervals
Results
628.0ms4079×body80valid
407.0ms1747×body1280valid
179.0ms1243×body640valid
69.0ms625×body320valid
25.0ms306×body160valid