Details

Time bar (total: 16.0s)

sample31.0ms

Algorithm
intervals
Results
11.0ms52×body1280valid
5.0ms38×body640valid
5.0ms131×body80valid
2.0ms27×body320valid
0.0ms8×body160valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
111
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1))
0.6b
(cbrt x)
2.3b
(- (cbrt (+ x 1)) (cbrt x))

rewrite79.0ms

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:
8.0ms
(cbrt (+ x 1))
2.0ms
(cbrt x)
67.0ms
(- (cbrt (+ x 1)) (cbrt x))

series421.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(cbrt (+ x 1))
268.0ms
(cbrt x)
92.0ms
(- (cbrt (+ x 1)) (cbrt x))

simplify2.5s

Counts
56 → 56
Iterations
IterNodes
done5000
43784
31472
2585
1267
0121

prune315.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

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)

rewrite144.0ms

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))
137.0ms
(* (cbrt x) (+ (cbrt (+ 1 x)) (cbrt x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series632.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(cbrt (+ 1 x))
146.0ms
(* (cbrt x) (+ (cbrt (+ 1 x)) (cbrt x)))
205.0ms
(cbrt x)
219.0ms
(cbrt x)

simplify2.0s

Counts
81 → 81
Iterations
IterNodes
done5001
21319
1395
0153

prune490.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize67.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×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 → 48
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
273.0ms
(cbrt x)
244.0ms
(cbrt x)
219.0ms
(cbrt x)
279.0ms
(cbrt x)

simplify2.5s

Counts
60 → 60
Iterations
IterNodes
done5000
51361
4446
3184
295
145
025

prune480.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.1b

localize67.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×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 → 48
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
288.0ms
(cbrt x)
255.0ms
(cbrt x)
270.0ms
(cbrt x)
259.0ms
(cbrt x)

simplify2.3s

Counts
60 → 60
Iterations
IterNodes
done5000
51361
4446
3184
295
145
025

prune390.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 0.1b

regimes121.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done16
116
010

end0.0ms

sample1.2s

Algorithm
intervals
Results
410.0ms1671×body1280valid
298.0ms1204×body640valid
226.0ms4145×body80valid
132.0ms680×body320valid
49.0ms300×body160valid