Details

Time bar (total: 21.3s)

sample47.0ms

Algorithm
intervals
Results
13.0ms45×body1280valid
10.0ms44×body640valid
8.0ms148×body80valid
2.0ms13×body320valid
2.0ms6×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: 25.5b

localize23.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1))
0.7b
(cbrt x)
1.7b
(- (cbrt (+ x 1)) (cbrt x))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
64×cbrt-prod
56×*-un-lft-identity
42×prod-diff
41×add-sqr-sqrt
33×add-cube-cbrt
9×distribute-lft-out
7×fma-neg
5×add-log-exp
4×difference-of-squares
3×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u distribute-lft-out--
2×cbrt-div pow1/3
1×sub-neg flip3-+ flip3-- diff-log flip-+ flip--
Counts
3 → 102
Calls
3 calls:
4.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)
68.0ms
(- (cbrt (+ x 1)) (cbrt x))

series443.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(cbrt (+ x 1))
270.0ms
(cbrt x)
126.0ms
(- (cbrt (+ x 1)) (cbrt x))

simplify2.5s

Counts
111 → 111
Iterations
IterNodes
done5001
32651
2955
1414
0184

prune525.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 13.3b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1))
0.7b
(cbrt x)
0.7b
(cbrt x)
1.2b
(- (+ x 1) x)

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
17×add-sqr-sqrt
15×add-cube-cbrt
12×prod-diff
10×cbrt-prod
9×add-log-exp
6×distribute-lft-out
4×expm1-log1p-u pow1 add-cbrt-cube fma-neg add-exp-log insert-posit16 log1p-expm1-u
3×pow1/3
2×cbrt-div diff-log distribute-lft-out--
1×sum-log sub-neg flip3-+ flip3-- associate--l+ flip-+ flip-- difference-of-squares
Counts
4 → 81
Calls
4 calls:
8.0ms
(cbrt (+ x 1))
2.0ms
(cbrt x)
2.0ms
(cbrt x)
53.0ms
(- (+ x 1) x)

series635.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(cbrt (+ x 1))
274.0ms
(cbrt x)
322.0ms
(cbrt x)
2.0ms
(- (+ x 1) x)

simplify4.0s

Counts
93 → 93
Iterations
IterNodes
done5000
32140
2806
1305
0134

prune495.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize71.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1))
0.3b
(cbrt (+ x 1))
0.7b
(cbrt x)
0.7b
(cbrt x)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
12×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
4×expm1-log1p-u pow1 cbrt-div add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
2×flip3-+ flip-+ distribute-lft-out
Counts
4 → 62
Calls
4 calls:
9.0ms
(cbrt (+ x 1))
9.0ms
(cbrt (+ x 1))
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
63.0ms
(cbrt (+ x 1))
59.0ms
(cbrt (+ x 1))
250.0ms
(cbrt x)
695.0ms
(cbrt x)

simplify2.3s

Counts
74 → 74
Iterations
IterNodes
done5001
42936
31020
2405
1180
086

prune967.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.2b

localize109.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 56
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
260.0ms
(cbrt x)
254.0ms
(cbrt x)
270.0ms
(cbrt x)
281.0ms
(cbrt x)

simplify4.5s

Counts
68 → 68
Iterations
IterNodes
done5011
64856
51192
4406
3186
297
147
027

prune861.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.2b

regimes415.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done15
115
011

end0.0ms

sample1.1s

Algorithm
intervals
Results
411.0ms1724×body1280valid
261.0ms1251×body640valid
196.0ms4067×body80valid
92.0ms650×body320valid
23.0ms308×body160valid