Details

sample25.0ms

Algorithm

intervals

Results

6.0ms	45×	body	1280	valid
5.0ms	44×	body	640	valid
4.0ms	148×	body	80	valid
1.0ms	13×	body	320	valid
1.0ms	6×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	11
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.5b

localize19.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1))
0.7b	(cbrt x)
1.7b	(- (cbrt (+ x 1)) (cbrt x))

rewrite101.0ms

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` `insert-posit16` `distribute-lft-out--`
2×	`cbrt-div` `pow1/3` `distribute-lft-out`
1×	`sub-neg` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--`

Counts

3 → 47

Calls

3 calls:

7.0ms	(cbrt (+ x 1))
1.0ms	(cbrt x)
90.0ms	(- (cbrt (+ x 1)) (cbrt x))

series420.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(cbrt (+ x 1))
248.0ms	(cbrt x)
116.0ms	(- (cbrt (+ x 1)) (cbrt x))

simplify2.7s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
4	3784
3	1472
2	585
1	267
0	121

prune226.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ 1 x))
0.3b	(cbrt (+ 1 x))
0.7b	(cbrt x)
0.7b	(cbrt x)

rewrite18.0ms

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` `insert-posit16` `add-log-exp`
2×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 54

Calls

4 calls:

7.0ms	(cbrt (+ 1 x))
7.0ms	(cbrt (+ 1 x))
1.0ms	(cbrt x)
2.0ms	(cbrt x)

series663.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(cbrt (+ 1 x))
52.0ms	(cbrt (+ 1 x))
262.0ms	(cbrt x)
290.0ms	(cbrt x)

simplify2.0s

Counts

66 → 66

Iterations

Iter	Nodes
done	5006
4	2409
3	909
2	379
1	171
0	82

prune410.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.2b

localize64.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ 1 x))
0.3b	(cbrt (+ 1 x))
0.7b	(cbrt x)
0.7b	(cbrt x)

rewrite10.0ms

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` `insert-posit16` `add-log-exp`
2×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 54

Calls

4 calls:

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

series1.0s

Counts

4 → 12

Calls

4 calls:

45.0ms	(cbrt (+ 1 x))
44.0ms	(cbrt (+ 1 x))
246.0ms	(cbrt x)
706.0ms	(cbrt x)

simplify2.0s

Counts

66 → 66

Iterations

Iter	Nodes
done	5006
4	2409
3	909
2	379
1	171
0	82

prune368.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ 1 x))
0.3b	(cbrt (+ 1 x))
0.7b	(cbrt x)
0.7b	(cbrt x)

rewrite24.0ms

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` `insert-posit16` `add-log-exp`
2×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 54

Calls

4 calls:

7.0ms	(cbrt (+ 1 x))
8.0ms	(cbrt (+ 1 x))
1.0ms	(cbrt x)
6.0ms	(cbrt x)

series517.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(cbrt (+ 1 x))
38.0ms	(cbrt (+ 1 x))
209.0ms	(cbrt x)
236.0ms	(cbrt x)

simplify1.6s

Counts

66 → 66

Iterations

Iter	Nodes
done	5006
4	2409
3	909
2	379
1	171
0	82

prune369.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.1b

regimes80.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	19
1	19
0	12

end0.0ms

sample1.1s

Algorithm

intervals

Results

419.0ms	1724×	body	1280	valid
250.0ms	4067×	body	80	valid
227.0ms	1251×	body	640	valid
78.0ms	650×	body	320	valid
22.0ms	308×	body	160	valid