Details

Time bar (total: 18.8s)

sample51.0ms

Algorithm
intervals
Results
16.0ms50×body1280valid
10.0ms137×body80valid
8.0ms33×body640valid
4.0ms23×body320valid
2.0ms13×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: 28.5b

localize21.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1))
0.6b
(cbrt x)
4.2b
(- (cbrt (+ x 1)) (cbrt x))

rewrite64.0ms

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:
3.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)
59.0ms
(- (cbrt (+ x 1)) (cbrt x))

series473.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(cbrt (+ x 1))
303.0ms
(cbrt x)
114.0ms
(- (cbrt (+ x 1)) (cbrt x))

simplify2.5s

Counts
111 → 111
Iterations
IterNodes
done5001
32651
2955
1414
0184

prune416.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 12.6b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1))
0.6b
(cbrt x)
0.6b
(cbrt x)
3.4b
(- (+ x 1) x)

rewrite48.0ms

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:
3.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
43.0ms
(- (+ x 1) x)

series590.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(cbrt (+ x 1))
282.0ms
(cbrt x)
265.0ms
(cbrt x)
1.0ms
(- (+ x 1) x)

simplify4.4s

Counts
93 → 93
Iterations
IterNodes
done5000
32140
2806
1305
0134

prune382.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

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 (+ x 1))
3.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series625.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(cbrt (+ x 1))
35.0ms
(cbrt (+ x 1))
238.0ms
(cbrt x)
290.0ms
(cbrt x)

simplify2.4s

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

prune409.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.2b

localize33.0ms

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) (cbrt x)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×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 → 54
Calls
4 calls:
5.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
4.0ms
(cbrt (* (cbrt x) (cbrt x)))

series1.2s

Counts
4 → 12
Calls
4 calls:
263.0ms
(cbrt x)
257.0ms
(cbrt x)
263.0ms
(cbrt x)
454.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify2.7s

Counts
66 → 66
Iterations
IterNodes
done5014
54221
41323
3456
2197
190
048

prune438.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.2b

regimes109.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done13
113
09

end0.0ms

sample1.8s

Algorithm
intervals
Results
689.0ms4102×body80valid
434.0ms1706×body1280valid
379.0ms1215×body640valid
157.0ms650×body320valid
30.0ms327×body160valid