Details

sample48.0ms

Algorithm

intervals

Results

12.0ms	46×	body	1280	valid
10.0ms	46×	body	640	valid
7.0ms	131×	body	80	valid
3.0ms	21×	body	320	valid
1.0ms	12×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	10	7
done	10	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize21.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
3.6b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite93.0ms

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:

8.0ms	(cbrt (+ x 1.0))
2.0ms	(cbrt x)
81.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series667.0ms

Counts

3 → 9

Calls

3 calls:

136.0ms	(cbrt (+ x 1.0))
294.0ms	(cbrt x)
237.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify2.5s

Counts

53 → 53

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	131	649
1	312	597
2	928	573
3	3661	539
done	5003	513

prune312.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 5.8b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
21.3b	(- (cbrt (+ x 1.0)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
10×	`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 → 54

Calls

4 calls:

2.0ms	(cbrt (cbrt x))
3.0ms	(cbrt (cbrt x))
3.0ms	(cbrt (cbrt x))
82.0ms	(- (cbrt (+ x 1.0)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))))

series1.4s

Counts

4 → 12

Calls

4 calls:

378.0ms	(cbrt (cbrt x))
398.0ms	(cbrt (cbrt x))
408.0ms	(cbrt (cbrt x))
258.0ms	(- (cbrt (+ x 1.0)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))))

simplify2.1s

Counts

66 → 66

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	112	774
1	262	733
2	769	510
3	3298	480
done	5001	466

prune382.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 5.8b

localize57.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
23.8b	(- (cbrt (+ x 1.0)) (* (* (* (* (cbrt (cbrt (cbrt x))) (cbrt (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x)))) (cbrt (cbrt x))) (cbrt (cbrt x))))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
10×	`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 → 54

Calls

4 calls:

3.0ms	(cbrt (cbrt x))
3.0ms	(cbrt (cbrt x))
3.0ms	(cbrt (cbrt x))
203.0ms	(- (cbrt (+ x 1.0)) (* (* (* (* (cbrt (cbrt (cbrt x))) (cbrt (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x)))) (cbrt (cbrt x))) (cbrt (cbrt x))))

series1.5s

Counts

4 → 12

Calls

4 calls:

345.0ms	(cbrt (cbrt x))
434.0ms	(cbrt (cbrt x))
477.0ms	(cbrt (cbrt x))
203.0ms	(- (cbrt (+ x 1.0)) (* (* (* (* (cbrt (cbrt (cbrt x))) (cbrt (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x)))) (cbrt (cbrt x))) (cbrt (cbrt x))))

simplify560.0ms

Counts

66 → 66

Iterations

Useful iterations: done (557.0ms)

Iter	Nodes	Cost
0	115	994
1	271	942
2	874	714
done	5001	492

prune426.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 5.8b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
3.3b	(pow x 2/3)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`pow1` `add-exp-log`
4×	`cbrt-div` `add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `pow1/3`
2×	`flip3-+` `flip-+` `distribute-lft-out`
1×	`pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 56

Calls

4 calls:

8.0ms	(cbrt (+ x 1.0))
6.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
9.0ms	(pow x 2/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

122.0ms	(cbrt (+ x 1.0))
113.0ms	(cbrt (+ x 1.0))
618.0ms	(cbrt x)
271.0ms	(pow x 2/3)

simplify792.0ms

Counts

68 → 68

Iterations

Useful iterations: done (789.0ms)

Iter	Nodes	Cost
0	121	625
1	295	579
2	1059	544
done	5001	502

prune343.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

regimes68.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.4b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	20
1	14	20
done	14	20

end0.0ms

sample1.2s

Algorithm

intervals

Results

367.0ms	1682×	body	1280	valid
251.0ms	4078×	body	80	valid
233.0ms	1299×	body	640	valid
76.0ms	335×	body	160	valid
71.0ms	606×	body	320	valid