Details

Time bar (total: 14.6s)

sample27.0ms

Algorithm
intervals
Results
8.0ms66×body1280valid
4.0ms126×body80valid
4.0ms37×body640valid
1.0ms19×body320valid
0.0ms8×body160valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done10
210
19
06

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ 1.0 x))
0.6b
(cbrt x)
2.8b
(- (cbrt (+ 1.0 x)) (cbrt x))

rewrite474.0ms

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:
8.0ms
(cbrt (+ 1.0 x))
1.0ms
(cbrt x)
464.0ms
(- (cbrt (+ 1.0 x)) (cbrt x))

series641.0ms

Counts
3 → 9
Calls
3 calls:
136.0ms
(cbrt (+ 1.0 x))
291.0ms
(cbrt x)
213.0ms
(- (cbrt (+ 1.0 x)) (cbrt x))

simplify2.2s

Counts
53 → 53
Iterations
IterNodes
done5003
33717
2948
1313
0131

prune239.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 10.5b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ 1.0 x))
0.6b
(cbrt x)
2.4b
(log (exp (- (cbrt (+ 1.0 x)) (cbrt x))))
2.8b
(- (cbrt (+ 1.0 x)) (cbrt x))

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt *-un-lft-identity
23×cbrt-prod
11×log-pow
10×exp-prod
8×add-cube-cbrt difference-of-squares
6×distribute-lft-out-- add-log-exp
5×pow1 log-prod
4×add-cbrt-cube add-exp-log
3×distribute-lft-out
2×cbrt-div sub-neg pow1/3 exp-sum
1×log-div flip3-+ flip3-- exp-diff diff-log rem-log-exp flip-+ flip--
Counts
4 → 69
Calls
4 calls:
3.0ms
(cbrt (+ 1.0 x))
1.0ms
(cbrt x)
127.0ms
(log (exp (- (cbrt (+ 1.0 x)) (cbrt x))))
69.0ms
(- (cbrt (+ 1.0 x)) (cbrt x))

series808.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(cbrt (+ 1.0 x))
221.0ms
(cbrt x)
240.0ms
(log (exp (- (cbrt (+ 1.0 x)) (cbrt x))))
226.0ms
(- (cbrt (+ 1.0 x)) (cbrt x))

simplify2.3s

Counts
81 → 81
Iterations
IterNodes
done5000
33936
21068
1372
0166

prune460.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
19×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
3×distribute-lft-neg-in distribute-rgt-neg-in
1×neg-mul-1
Counts
4 → 51
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
4.0ms
(cbrt (- x))

series1.1s

Counts
4 → 12
Calls
4 calls:
289.0ms
(cbrt x)
243.0ms
(cbrt x)
277.0ms
(cbrt x)
329.0ms
(cbrt (- x))

simplify1.1s

Counts
63 → 63
Iterations
IterNodes
done5000
42040
3571
2179
175
047

prune410.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.7b
(cbrt (cbrt x))
0.7b
(cbrt (cbrt x))
0.7b
(cbrt (cbrt x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))

series1.4s

Counts
4 → 12
Calls
4 calls:
242.0ms
(cbrt x)
377.0ms
(cbrt (cbrt x))
401.0ms
(cbrt (cbrt x))
395.0ms
(cbrt (cbrt x))

simplify1.2s

Counts
65 → 65
Iterations
IterNodes
done5000
42270
3644
2187
177
042

prune440.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.2b

regimes228.0ms

Accuracy

99.3% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 32.0b

bsearch2.0ms

simplify4.0ms

Iterations
IterNodes
done34
134
029

end0.0ms

sample1.2s

Algorithm
intervals
Results
454.0ms1685×body1280valid
255.0ms4087×body80valid
187.0ms1281×body640valid
68.0ms631×body320valid
24.0ms316×body160valid