Details

sample48.0ms

Algorithm

intervals

Results

14.0ms	54×	body	1280	valid
9.0ms	44×	body	640	valid
7.0ms	132×	body	80	valid
3.0ms	19×	body	320	valid
1.0ms	7×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	10
2	10
1	9
0	6

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite53.0ms

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)
48.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series666.0ms

Counts

3 → 9

Calls

3 calls:

139.0ms	(cbrt (+ x 1.0))
293.0ms	(cbrt x)
233.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify2.0s

Counts

53 → 53

Iterations

Iter	Nodes
done	5002
3	3704
2	938
1	313
0	131

prune278.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 7.4b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ 1.0 x))
0.3b	(cbrt (cbrt (+ 1.0 x)))
0.6b	(cbrt x)
9.3b	(- (* (cbrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (cbrt (cbrt (+ 1.0 x)))) (cbrt x))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
12×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`pow1/3`
2×	`flip3-+` `flip-+` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 54

Calls

4 calls:

6.0ms	(cbrt (+ 1.0 x))
7.0ms	(cbrt (cbrt (+ 1.0 x)))
1.0ms	(cbrt x)
39.0ms	(- (* (cbrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (cbrt (cbrt (+ 1.0 x)))) (cbrt x))

series711.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(cbrt (+ 1.0 x))
104.0ms	(cbrt (cbrt (+ 1.0 x)))
243.0ms	(cbrt x)
226.0ms	(- (* (cbrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (cbrt (cbrt (+ 1.0 x)))) (cbrt x))

simplify721.0ms

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
2	1389
1	426
0	177

prune436.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 7.4b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cbrt (+ 1.0 x)))
0.3b	(cbrt (cbrt (+ 1.0 x)))
0.6b	(cbrt x)
9.3b	(- (* (cbrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (cbrt (* (* (cbrt (cbrt (+ 1.0 x))) (cbrt (cbrt (+ 1.0 x)))) (cbrt (cbrt (+ 1.0 x)))))) (cbrt x))

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
13×	`*-un-lft-identity`
9×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`cbrt-div`
6×	`add-log-exp`
4×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`pow1/3`
2×	`flip3-+` `flip-+` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 57

Calls

4 calls:

6.0ms	(cbrt (cbrt (+ 1.0 x)))
7.0ms	(cbrt (cbrt (+ 1.0 x)))
1.0ms	(cbrt x)
183.0ms	(- (* (cbrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (cbrt (* (* (cbrt (cbrt (+ 1.0 x))) (cbrt (cbrt (+ 1.0 x)))) (cbrt (cbrt (+ 1.0 x)))))) (cbrt x))

series674.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(cbrt (cbrt (+ 1.0 x)))
87.0ms	(cbrt (cbrt (+ 1.0 x)))
276.0ms	(cbrt x)
215.0ms	(- (* (cbrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (cbrt (* (* (cbrt (cbrt (+ 1.0 x))) (cbrt (cbrt (+ 1.0 x)))) (cbrt (cbrt (+ 1.0 x)))))) (cbrt x))

simplify702.0ms

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	1325
1	410
0	171

prune496.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 7.4b

localize60.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cbrt (+ 1.0 x)))
0.3b	(cbrt (cbrt (+ 1.0 x)))
0.6b	(cbrt x)
22.0b	(- (* (cbrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (* (* (cbrt (cbrt (cbrt (+ 1.0 x)))) (cbrt (cbrt (cbrt (+ 1.0 x))))) (cbrt (cbrt (cbrt (+ 1.0 x)))))) (cbrt x))

rewrite379.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
13×	`*-un-lft-identity`
9×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`cbrt-div`
6×	`add-log-exp`
4×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`pow1/3`
2×	`flip3-+` `flip-+` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 57

Calls

4 calls:

4.0ms	(cbrt (cbrt (+ 1.0 x)))
4.0ms	(cbrt (cbrt (+ 1.0 x)))
1.0ms	(cbrt x)
370.0ms	(- (* (cbrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (* (* (cbrt (cbrt (cbrt (+ 1.0 x)))) (cbrt (cbrt (cbrt (+ 1.0 x))))) (cbrt (cbrt (cbrt (+ 1.0 x)))))) (cbrt x))

series721.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(cbrt (cbrt (+ 1.0 x)))
122.0ms	(cbrt (cbrt (+ 1.0 x)))
237.0ms	(cbrt x)
245.0ms	(- (* (cbrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (* (* (cbrt (cbrt (cbrt (+ 1.0 x)))) (cbrt (cbrt (cbrt (+ 1.0 x))))) (cbrt (cbrt (cbrt (+ 1.0 x)))))) (cbrt x))

simplify764.0ms

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	1380
1	413
0	171

prune513.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 7.4b

regimes160.0ms

Accuracy

98.3% (0.4b remaining)

Error of 8.9b against oracle of 8.5b and baseline of 29.2b

bsearch81.0ms

Steps

Iters	Range		Point
6	1.583250720483607e-07	7.294142785006675e-07	2.6276466578463683e-07
10	-185496355225.45163	-22.8286883066892	-4221.179793202217

simplify24.0ms

Iterations

Iter	Nodes
done	50
2	50
1	48
0	40

end2.0ms

sample1.6s

Algorithm

intervals

Results

654.0ms	4176×	body	80	valid
375.0ms	1672×	body	1280	valid
218.0ms	1242×	body	640	valid
106.0ms	623×	body	320	valid
21.0ms	287×	body	160	valid