Details

Time bar (total: 18.8s)

sample46.0ms

Algorithm
intervals
Results
15.0ms52×body1280valid
8.0ms38×body640valid
7.0ms131×body80valid
4.0ms27×body320valid
1.0ms8×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: 30.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1))
0.6b
(cbrt x)
2.3b
(- (cbrt (+ x 1)) (cbrt x))

rewrite79.0ms

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)
71.0ms
(- (cbrt (+ x 1)) (cbrt x))

series448.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(cbrt (+ x 1))
311.0ms
(cbrt x)
99.0ms
(- (cbrt (+ x 1)) (cbrt x))

simplify2.5s

Counts
111 → 111
Iterations
IterNodes
done5001
32651
2955
1414
0184

prune392.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 14.8b

localize56.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1))
0.6b
(cbrt x)
0.6b
(cbrt x)
1.9b
(- (+ x 1) x)

rewrite66.0ms

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)

series632.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(cbrt (+ x 1))
294.0ms
(cbrt x)
296.0ms
(cbrt x)
1.0ms
(- (+ x 1) x)

simplify3.8s

Counts
93 → 93
Iterations
IterNodes
done5000
32140
2806
1305
0134

prune434.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize47.0ms

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)

rewrite11.0ms

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:
4.0ms
(cbrt (+ x 1))
4.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series688.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(cbrt (+ x 1))
38.0ms
(cbrt (+ x 1))
263.0ms
(cbrt x)
346.0ms
(cbrt x)

simplify2.5s

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

prune1.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.2b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-div
18×cbrt-prod
10×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
7×flip3-+ flip-+
4×expm1-log1p-u frac-times pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
2×associate-*l/ associate-*r/
1×distribute-lft-out
Counts
4 → 68
Calls
4 calls:
4.0ms
(cbrt (cbrt (+ x 1)))
14.0ms
(cbrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series686.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(cbrt (cbrt (+ x 1)))
53.0ms
(cbrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))
302.0ms
(cbrt x)
278.0ms
(cbrt x)

simplify2.9s

Counts
80 → 80
Iterations
IterNodes
done5017
44087
31692
2672
1300
0159

prune1.0s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.2b

regimes173.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done15
115
011

end0.0ms

sample1.1s

Algorithm
intervals
Results
453.0ms1671×body1280valid
276.0ms4145×body80valid
193.0ms1204×body640valid
79.0ms680×body320valid
23.0ms300×body160valid