Details

Time bar (total: 15.8s)

sample32.0ms

Algorithm
intervals
Results
9.0ms54×body1280valid
5.0ms135×body80valid
4.0ms29×body640valid
3.0ms27×body320valid
1.0ms11×body160valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done10
210
19
06

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.5b
(cbrt x)
3.6b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite57.0ms

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 distribute-lft-out--
2×cbrt-div pow1/3 distribute-lft-out
1×sub-neg flip3-+ flip3-- diff-log flip-+ flip--
Counts
3 → 44
Calls
3 calls:
3.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
52.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series581.0ms

Counts
3 → 9
Calls
3 calls:
116.0ms
(cbrt (+ x 1.0))
272.0ms
(cbrt x)
192.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify1.9s

Counts
53 → 53
Iterations
IterNodes
done5002
31976
2725
1307
0131

prune287.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ 1.0 x))
0.3b
(cbrt (+ 1.0 x))
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
12×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
4×pow1 cbrt-div add-cbrt-cube pow1/3 add-exp-log add-log-exp
2×flip3-+ flip-+ distribute-lft-out
Counts
4 → 50
Calls
4 calls:
3.0ms
(cbrt (+ 1.0 x))
3.0ms
(cbrt (+ 1.0 x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series722.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(cbrt (+ 1.0 x))
96.0ms
(cbrt (+ 1.0 x))
243.0ms
(cbrt x)
277.0ms
(cbrt x)

simplify1.7s

Counts
62 → 62
Iterations
IterNodes
done5000
31484
2513
1203
093

prune466.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.2b

localize69.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
0.6b
(cbrt (cbrt x))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
Counts
4 → 47
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))

series1.1s

Counts
4 → 12
Calls
4 calls:
263.0ms
(cbrt x)
282.0ms
(cbrt x)
274.0ms
(cbrt x)
312.0ms
(cbrt (cbrt x))

simplify2.4s

Counts
59 → 59
Iterations
IterNodes
done5002
53229
4909
3358
2170
177
042

prune495.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.2b

localize156.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

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 add-log-exp
1×pow3 rem-cbrt-cube
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
29.0ms
(cbrt (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))))

series1.4s

Counts
4 → 12
Calls
4 calls:
378.0ms
(cbrt (cbrt x))
359.0ms
(cbrt (cbrt x))
359.0ms
(cbrt (cbrt x))
346.0ms
(cbrt (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))))

simplify2.1s

Counts
64 → 64
Iterations
IterNodes
done5001
51554
4462
3212
2111
164
042

prune512.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 0.1b

regimes143.0ms

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
done14
114
010

end0.0ms

sample1.6s

Algorithm
intervals
Results
770.0ms1733×body1280valid
296.0ms1239×body640valid
215.0ms4063×body80valid
123.0ms657×body320valid
24.0ms308×body160valid