Details

Time bar (total: 17.4s)

sample45.0ms

Algorithm
intervals
Results
17.0ms58×body1280valid
8.0ms37×body640valid
7.0ms126×body80valid
4.0ms26×body320valid
1.0ms9×body160valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
310
210
19
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.8b

localize18.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1))
0.6b
(cbrt x)
3.1b
(- (cbrt (+ x 1)) (cbrt x))

rewrite56.0ms

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)
49.0ms
(- (cbrt (+ x 1)) (cbrt x))

series443.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(cbrt (+ x 1))
289.0ms
(cbrt x)
117.0ms
(- (cbrt (+ x 1)) (cbrt x))

simplify1.9s

Counts
56 → 56
Iterations
IterNodes
43308
31295
2562
1259
0121

prune490.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite146.0ms

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:
39.0ms
(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
104.0ms
(* (cbrt x) (+ (cbrt (+ 1 x)) (cbrt x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series828.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
175.0ms
(* (cbrt x) (+ (cbrt (+ 1 x)) (cbrt x)))
289.0ms
(cbrt x)
300.0ms
(cbrt x)

simplify3.2s

Counts
120 → 120
Iterations
IterNodes
35214
21514
1459
0185

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize44.0ms

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))

series1.4s

Counts
4 → 12
Calls
4 calls:
296.0ms
(cbrt x)
391.0ms
(cbrt (cbrt x))
380.0ms
(cbrt (cbrt x))
371.0ms
(cbrt (cbrt x))

simplify1.6s

Counts
69 → 69
Iterations
IterNodes
54130
41048
3407
2170
177
044

prune728.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.1b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
0.7b
(cbrt (* (cbrt x) (cbrt x)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
10×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 → 55
Calls
4 calls:
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
6.0ms
(cbrt (* (cbrt x) (cbrt x)))

series1.3s

Counts
4 → 12
Calls
4 calls:
310.0ms
(cbrt (cbrt x))
266.0ms
(cbrt (cbrt x))
320.0ms
(cbrt (cbrt x))
360.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify1.5s

Counts
67 → 67
Iterations
IterNodes
54353
41130
3455
2187
190
052

prune932.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.1b

regimes111.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
223
123
017

end0.0ms

sample1.5s

Algorithm
intervals
Results
508.0ms4118×body80valid
484.0ms1694×body1280valid
261.0ms1280×body640valid
113.0ms597×body320valid
59.0ms311×body160valid