Details

sample21.0ms

Algorithm

intervals

Results

6.0ms	57×	body	1280	valid
3.0ms	39×	body	640	valid
3.0ms	133×	body	80	valid
1.0ms	19×	body	320	valid
0.0ms	8×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.0b

localize6.0ms

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))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

64×	`cbrt-prod`
56×	`*-un-lft-identity`
42×	`prod-diff`
41×	`add-sqr-sqrt`
33×	`add-cube-cbrt`
9×	`distribute-lft-out`
7×	`fma-neg`
5×	`add-log-exp`
4×	`difference-of-squares`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--`
2×	`cbrt-div` `pow1/3`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+`

Counts

3 → 99

Calls

3 calls:

2.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
27.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series411.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(cbrt (+ x 1.0))
173.0ms	(cbrt x)
149.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify577.0ms

Counts

108 → 108

Iterations

Useful iterations: 2 (136.0ms)

Iter	Nodes	Cost
0	194	2160
1	443	1811
2	1348	1468
done	5001	1468

prune237.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 15.3b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
12×	`prod-diff`
10×	`cbrt-prod`
9×	`add-log-exp`
6×	`distribute-lft-out`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `fma-neg` `add-cbrt-cube` `log1p-expm1-u`
3×	`pow1/3`
2×	`cbrt-div` `diff-log` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `flip3-+` `associate--l+` `sum-log` `flip--` `flip-+` `difference-of-squares`

Counts

4 → 77

Calls

4 calls:

2.0ms	(cbrt (+ x 1.0))
0.0ms	(cbrt x)
0.0ms	(cbrt x)
22.0ms	(- (+ x 1.0) x)

series447.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(cbrt (+ x 1.0))
178.0ms	(cbrt x)
178.0ms	(cbrt x)
1.0ms	(- (+ x 1.0) x)

simplify488.0ms

Counts

89 → 89

Iterations

Useful iterations: done (486.0ms)

Iter	Nodes	Cost
0	145	859
1	323	714
2	1080	583
done	5001	570

prune242.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.4b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
12×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `cbrt-div` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 58

Calls

4 calls:

2.0ms	(cbrt (+ x 1.0))
2.0ms	(cbrt (+ x 1.0))
0.0ms	(cbrt x)
1.0ms	(cbrt x)

series537.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(cbrt (+ x 1.0))
90.0ms	(cbrt (+ x 1.0))
176.0ms	(cbrt x)
181.0ms	(cbrt x)

simplify738.0ms

Counts

70 → 70

Iterations

Useful iterations: 3 (203.0ms)

Iter	Nodes	Cost
0	97	604
1	212	566
2	564	536
3	1845	476
done	5001	476

prune254.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-div`
11×	`cbrt-prod`
9×	`*-un-lft-identity`
7×	`add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `flip-+`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `frac-times` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`associate-r/` `associate-l/`
1×	`distribute-lft-out`

Counts

4 → 61

Calls

4 calls:

2.0ms	(cbrt (+ x 1.0))
7.0ms	(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
0.0ms	(cbrt x)
1.0ms	(cbrt x)

series556.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(cbrt (+ x 1.0))
104.0ms	(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
183.0ms	(cbrt x)
179.0ms	(cbrt x)

simplify1.1s

Counts

73 → 73

Iterations

Useful iterations: 3 (342.0ms)

Iter	Nodes	Cost
0	167	836
1	343	793
2	903	748
3	3000	708
done	5001	708

prune275.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.2b

regimes73.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	12	21
done	12	21

end0.0ms

sample502.0ms

Algorithm

intervals

Results

176.0ms	1666×	body	1280	valid
96.0ms	1210×	body	640	valid
83.0ms	4089×	body	80	valid
38.0ms	669×	body	320	valid
14.0ms	366×	body	160	valid