Details

sample20.0ms

Algorithm

intervals

Results

7.0ms	67×	body	1280	valid
3.0ms	130×	body	80	valid
2.0ms	32×	body	640	valid
1.0ms	21×	body	320	valid
0.0ms	6×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	4
1	10	4
2	10	4
done	10	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.3b

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
1.7b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite48.0ms

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-exp-log` `add-cbrt-cube` `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:

4.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
42.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series412.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(cbrt (+ x 1.0))
177.0ms	(cbrt x)
149.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify154.0ms

Counts

53 → 53

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	287	358
1	934	344
2	4833	322
3	5001	322
done	5001	322

prune140.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 13.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
18.7b	(- (cbrt (+ x 1.0)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 45

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
52.0ms	(- (cbrt (+ x 1.0)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))))

series699.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt x)
179.0ms	(cbrt x)
182.0ms	(cbrt x)
150.0ms	(- (cbrt (+ x 1.0)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))))

simplify82.0ms

Counts

57 → 57

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	236	402
1	678	333
2	2519	310
3	5001	310
done	5001	310

prune172.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 13.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt (* (cbrt x) (cbrt x)))
8.5b	(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

7×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
5.0ms	(cbrt (* (cbrt x) (cbrt x)))
49.0ms	(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

series770.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt x)
178.0ms	(cbrt x)
275.0ms	(cbrt (* (cbrt x) (cbrt x)))
143.0ms	(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

simplify86.0ms

Counts

55 → 55

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	267	407
1	751	360
2	2812	343
3	5002	331
done	5002	331

prune195.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 13.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (* (cbrt x) (cbrt x)))
0.6b	(cbrt (* (cbrt x) (cbrt x)))
1.2b	(- (+ x 1.0) x)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
9×	`add-log-exp`
7×	`add-sqr-sqrt`
5×	`cbrt-prod` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3`
2×	`diff-log` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--` `distribute-lft-out` `difference-of-squares`

Counts

4 → 46

Calls

4 calls:

1.0ms	(cbrt x)
5.0ms	(cbrt (* (cbrt x) (cbrt x)))
8.0ms	(cbrt (* (cbrt x) (cbrt x)))
34.0ms	(- (+ x 1.0) x)

series719.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt x)
271.0ms	(cbrt (* (cbrt x) (cbrt x)))
271.0ms	(cbrt (* (cbrt x) (cbrt x)))
1.0ms	(- (+ x 1.0) x)

simplify46.0ms

Counts

58 → 58

Iterations

Useful iterations: 3 (43.0ms)

Iter	Nodes	Cost
0	145	234
1	391	208
2	1619	192
3	5001	184
done	5001	184

prune204.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.6b

regimes24.0ms

Accuracy

0% (0.1b remaining)

Error of 0.7b against oracle of 0.6b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	31
1	24	31
done	24	31

end0.0ms

sample539.0ms

Algorithm

intervals

Results

184.0ms	1777×	body	1280	valid
97.0ms	1243×	body	640	valid
81.0ms	4062×	body	80	valid
35.0ms	625×	body	320	valid
11.0ms	293×	body	160	valid