Details

Time bar (total: 13.1s)

sample41.0ms

Algorithm
intervals
Results
13.0ms54×body1280valid
9.0ms50×body640valid
7.0ms125×body80valid
2.0ms16×body320valid
1.0ms11×body160valid

simplify17.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
111
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.4b

localize16.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1))
0.6b
(cbrt x)
3.0b
(- (cbrt (+ x 1)) (cbrt x))

rewrite33.0ms

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:
3.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)
29.0ms
(- (cbrt (+ x 1)) (cbrt x))

series485.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(cbrt (+ x 1))
282.0ms
(cbrt x)
161.0ms
(- (cbrt (+ x 1)) (cbrt x))

simplify1.1s

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

prune427.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
38×cbrt-prod *-un-lft-identity
29×add-sqr-sqrt
17×add-cube-cbrt
13×pow1 associate-*r* associate-*l*
12×cbrt-div
10×distribute-lft-out
9×swap-sqr
8×pow1/3 add-exp-log
7×flip3-+ flip-+
6×unswap-sqr
5×add-cbrt-cube
4×frac-times associate-*r/ insert-posit16 add-log-exp
3×pow-prod-down
2×associate-*l/ prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod
1×pow2 distribute-rgt-in distribute-lft-in pow-plus
Counts
4 → 108
Calls
4 calls:
34.0ms
(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
86.0ms
(* (cbrt x) (+ (cbrt x) (cbrt (+ 1 x))))
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series743.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
142.0ms
(* (cbrt x) (+ (cbrt x) (cbrt (+ 1 x))))
251.0ms
(cbrt x)
303.0ms
(cbrt x)

simplify1.3s

Counts
120 → 120
Iterations
IterNodes
done2002
32002
21385
1474
0185

prune1.3s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize72.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
14×*-un-lft-identity
10×add-sqr-sqrt add-cube-cbrt
8×cbrt-div
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
2×flip3-+ flip-+ distribute-lft-out
Counts
4 → 60
Calls
4 calls:
3.0ms
(cbrt (cbrt (+ 1 x)))
3.0ms
(cbrt (cbrt (+ 1 x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
58.0ms
(cbrt (cbrt (+ 1 x)))
60.0ms
(cbrt (cbrt (+ 1 x)))
712.0ms
(cbrt x)
277.0ms
(cbrt x)

simplify1.1s

Counts
72 → 72
Iterations
IterNodes
done2000
42000
31040
2432
1198
099

prune859.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.1b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
48×cbrt-prod
16×*-un-lft-identity
12×add-sqr-sqrt cbrt-div add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
2×flip3-+ flip-+ distribute-lft-out
Counts
4 → 66
Calls
4 calls:
3.0ms
(cbrt (cbrt (cbrt (+ 1 x))))
3.0ms
(cbrt (cbrt (cbrt (+ 1 x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series591.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(cbrt (cbrt (cbrt (+ 1 x))))
40.0ms
(cbrt (cbrt (cbrt (+ 1 x))))
257.0ms
(cbrt x)
250.0ms
(cbrt x)

simplify837.0ms

Counts
78 → 78
Iterations
IterNodes
done2000
42000
31009
2446
1211
0113

prune1.2s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.1b

regimes117.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done18
118
012

end0.0ms

sample1.5s

Algorithm
intervals
Results
593.0ms1723×body1280valid
366.0ms1282×body640valid
294.0ms4043×body80valid
100.0ms622×body320valid
35.0ms330×body160valid