Details

Time bar (total: 11.0s)

sample34.0ms

Algorithm
intervals
Results
12.0ms56×body1280valid
6.0ms142×body80valid
5.0ms31×body640valid
3.0ms22×body320valid
0.0ms5×body160valid

simplify9.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
111
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1))
0.6b
(cbrt x)
2.8b
(- (cbrt (+ x 1)) (cbrt x))

rewrite48.0ms

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 insert-posit16 distribute-lft-out--
2×cbrt-div pow1/3 distribute-lft-out
1×sub-neg flip3-+ flip3-- diff-log flip-+ flip--
Counts
3 → 47
Calls
3 calls:
5.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)
40.0ms
(- (cbrt (+ x 1)) (cbrt x))

series456.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(cbrt (+ x 1))
293.0ms
(cbrt x)
121.0ms
(- (cbrt (+ x 1)) (cbrt x))

simplify1.1s

Counts
56 → 56
Iterations
IterNodes
done2001
42001
31472
2585
1267
0121

prune279.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ 1 x))
0.3b
(* (cbrt x) (+ (cbrt x) (cbrt (+ 1 x))))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
18×cbrt-prod
14×add-sqr-sqrt
10×add-cube-cbrt
6×pow1 associate-*r* associate-*l* add-exp-log
5×add-cbrt-cube distribute-lft-out
4×insert-posit16 add-log-exp
3×pow1/3
2×cbrt-div flip3-+ associate-*r/ flip-+ unswap-sqr
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 69
Calls
4 calls:
4.0ms
(cbrt (+ 1 x))
48.0ms
(* (cbrt x) (+ (cbrt x) (cbrt (+ 1 x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series726.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(cbrt (+ 1 x))
146.0ms
(* (cbrt x) (+ (cbrt x) (cbrt (+ 1 x))))
271.0ms
(cbrt x)
260.0ms
(cbrt x)

simplify1.2s

Counts
81 → 81
Iterations
IterNodes
done2009
32009
21320
1395
0153

prune420.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ 1 x))
0.3b
(* (+ (cbrt x) (cbrt (+ 1 x))) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
18×cbrt-prod
14×add-sqr-sqrt
10×add-cube-cbrt
6×pow1 associate-*r* associate-*l* add-exp-log
5×add-cbrt-cube distribute-lft-out
4×insert-posit16 add-log-exp
3×pow1/3
2×cbrt-div flip3-+ associate-*l/ flip-+ unswap-sqr
1×pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 67
Calls
4 calls:
2.0ms
(cbrt (+ 1 x))
44.0ms
(* (+ (cbrt x) (cbrt (+ 1 x))) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series692.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(cbrt (+ 1 x))
137.0ms
(* (+ (cbrt x) (cbrt (+ 1 x))) (cbrt x))
248.0ms
(cbrt x)
259.0ms
(cbrt x)

simplify986.0ms

Counts
79 → 79
Iterations
IterNodes
done2005
32005
21083
1365
0151

prune418.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize77.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

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 insert-posit16 add-log-exp
Counts
4 → 57
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))

series1.5s

Counts
4 → 12
Calls
4 calls:
266.0ms
(cbrt x)
402.0ms
(cbrt (cbrt x))
389.0ms
(cbrt (cbrt x))
423.0ms
(cbrt (cbrt x))

simplify1.0s

Counts
69 → 69
Iterations
IterNodes
done2054
52054
4917
3361
2172
179
044

prune409.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

regimes77.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done29
129
020

end0.0ms

sample1.4s

Algorithm
intervals
Results
486.0ms1688×body1280valid
358.0ms4111×body80valid
316.0ms1284×body640valid
93.0ms618×body320valid
29.0ms299×body160valid