Details

Time bar (total: 15.9s)

sample24.0ms

Algorithm
intervals
Results
6.0ms53×body1280valid
4.0ms129×body80valid
4.0ms39×body640valid
2.0ms28×body320valid
0.0ms7×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: 30.4b

localize13.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.9b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite63.0ms

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)
58.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series590.0ms

Counts
3 → 9
Calls
3 calls:
102.0ms
(cbrt (+ x 1.0))
261.0ms
(cbrt x)
227.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify1.8s

Counts
53 → 53
Iterations
IterNodes
done5002
31976
2725
1307
0131

prune279.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ 1.0 x))
0.3b
(cbrt (+ 1.0 x))
0.6b
(cbrt x)
0.6b
(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)

series767.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(cbrt (+ 1.0 x))
157.0ms
(cbrt (+ 1.0 x))
256.0ms
(cbrt x)
247.0ms
(cbrt x)

simplify2.0s

Counts
62 → 62
Iterations
IterNodes
done5000
31484
2513
1203
093

prune347.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
341.0ms
(cbrt x)
281.0ms
(cbrt x)
264.0ms
(cbrt x)
306.0ms
(cbrt x)

simplify3.6s

Counts
56 → 56
Iterations
IterNodes
done5000
64494
51126
4390
3175
294
144
024

prune390.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.2b

localize72.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ 1.0 x))
0.3b
(* (cbrt (cbrt (+ 1.0 x))) (cbrt (cbrt (+ 1.0 x))))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
80×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
26×cbrt-div
19×add-cube-cbrt
12×swap-sqr
11×pow1
10×associate-*r* associate-*l*
9×pow1/3 unswap-sqr
7×flip3-+ flip-+ distribute-lft-out
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
4.0ms
(cbrt (+ 1.0 x))
36.0ms
(* (cbrt (cbrt (+ 1.0 x))) (cbrt (cbrt (+ 1.0 x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series778.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(cbrt (+ 1.0 x))
136.0ms
(* (cbrt (cbrt (+ 1.0 x))) (cbrt (cbrt (+ 1.0 x))))
247.0ms
(cbrt x)
280.0ms
(cbrt x)

simplify1.8s

Counts
115 → 115
Iterations
IterNodes
done5003
32498
21002
1407
0191

prune786.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0.2b

regimes151.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done14
114
010

end0.0ms

sample1.1s

Algorithm
intervals
Results
313.0ms1652×body1280valid
282.0ms1274×body640valid
207.0ms4138×body80valid
102.0ms640×body320valid
63.0ms296×body160valid