Details

Time bar (total: 16.8s)

sample56.0ms

Algorithm
intervals
Results
21.0ms66×body1280valid
12.0ms48×body640valid
7.0ms115×body80valid
4.0ms19×body320valid
1.0ms8×body160valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
312
212
111
06

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.5b

localize36.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1))
0.6b
(cbrt x)
2.2b
(- (cbrt (+ x 1)) (cbrt x))

rewrite71.0ms

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:
6.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)
61.0ms
(- (cbrt (+ x 1)) (cbrt x))

series462.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(cbrt (+ x 1))
274.0ms
(cbrt x)
121.0ms
(- (cbrt (+ x 1)) (cbrt x))

simplify1.1s

Counts
111 → 111
Iterations
IterNodes
32285
2886
1406
0184

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize43.0ms

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)

rewrite22.0ms

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:
5.0ms
(cbrt (+ 1 x))
12.0ms
(cbrt (+ 1 x))
1.0ms
(cbrt x)
2.0ms
(cbrt x)

series658.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(cbrt (+ 1 x))
57.0ms
(cbrt (+ 1 x))
242.0ms
(cbrt x)
305.0ms
(cbrt x)

simplify2.7s

Counts
74 → 74
Iterations
IterNodes
55410
41880
3816
2386
1175
086

prune820.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.3b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
13×*-un-lft-identity
9×add-sqr-sqrt add-cube-cbrt
6×cbrt-div
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
2×flip3-+ flip-+ distribute-lft-out
Counts
4 → 65
Calls
4 calls:
3.0ms
(cbrt (+ 1 x))
3.0ms
(cbrt (cbrt (+ 1 x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series675.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(cbrt (+ 1 x))
40.0ms
(cbrt (cbrt (+ 1 x)))
286.0ms
(cbrt x)
298.0ms
(cbrt x)

simplify1.7s

Counts
77 → 77
Iterations
IterNodes
43328
31376
2609
1268
0131

prune1.2s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.2b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×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 → 59
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
7.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))

series1.2s

Counts
4 → 12
Calls
4 calls:
287.0ms
(cbrt x)
314.0ms
(cbrt x)
266.0ms
(cbrt x)
337.0ms
(cbrt (cbrt x))

simplify1.7s

Counts
71 → 71
Iterations
IterNodes
53891
41029
3411
2176
183
048

prune1.1s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 0.2b

regimes169.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
214
114
09

end0.0ms

sample1.8s

Algorithm
intervals
Results
679.0ms1742×body1280valid
619.0ms4078×body80valid
254.0ms1268×body640valid
89.0ms613×body320valid
29.0ms299×body160valid