Details

Time bar (total: 10.9s)

sample35.0ms

Algorithm
intervals
Results
10.0ms53×body1280valid
8.0ms50×body640valid
5.0ms128×body80valid
2.0ms17×body320valid
1.0ms8×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: 30.9b

localize21.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1))
0.6b
(cbrt x)
2.7b
(- (cbrt (+ x 1)) (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 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)
66.0ms
(- (cbrt (+ x 1)) (cbrt x))

series398.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(cbrt (+ x 1))
221.0ms
(cbrt x)
123.0ms
(- (cbrt (+ x 1)) (cbrt x))

simplify1.1s

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

prune247.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

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 insert-posit16 add-log-exp
2×flip3-+ flip-+ distribute-lft-out
Counts
4 → 54
Calls
4 calls:
5.0ms
(cbrt (+ 1 x))
5.0ms
(cbrt (+ 1 x))
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series570.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(cbrt (+ 1 x))
53.0ms
(cbrt (+ 1 x))
231.0ms
(cbrt x)
221.0ms
(cbrt x)

simplify1.0s

Counts
66 → 66
Iterations
IterNodes
done2000
42000
3909
2379
1171
082

prune392.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.2b

localize87.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-div
11×cbrt-prod
9×*-un-lft-identity
7×add-sqr-sqrt flip3-+ add-cube-cbrt flip-+
4×frac-times pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
2×associate-*l/ associate-*r/
1×distribute-lft-out
Counts
4 → 57
Calls
4 calls:
5.0ms
(cbrt (+ 1 x))
17.0ms
(cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
1.0ms
(cbrt x)
2.0ms
(cbrt x)

series859.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(cbrt (+ 1 x))
42.0ms
(cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
224.0ms
(cbrt x)
544.0ms
(cbrt x)

simplify1.2s

Counts
69 → 69
Iterations
IterNodes
done2022
42022
31420
2587
1269
0139

prune513.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.2b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
40×cbrt-div
12×flip3-+ flip-+
8×cbrt-prod frac-times
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 associate-*l/ associate-*r/ add-exp-log insert-posit16 add-log-exp
Counts
4 → 60
Calls
4 calls:
16.0ms
(cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
20.0ms
(cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series720.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
54.0ms
(cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
293.0ms
(cbrt x)
321.0ms
(cbrt x)

simplify1.2s

Counts
72 → 72
Iterations
IterNodes
done2006
52006
41943
3907
2406
1192
0106

prune584.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0.2b

regimes92.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done24
124
016

end0.0ms

sample1.4s

Algorithm
intervals
Results
561.0ms1755×body1280valid
343.0ms1225×body640valid
285.0ms4036×body80valid
101.0ms657×body320valid
39.0ms327×body160valid