Details

sample21.0ms

Algorithm

intervals

Results

7.0ms	55×	body	1280	valid
4.0ms	39×	body	640	valid
3.0ms	132×	body	80	valid
1.0ms	21×	body	320	valid
0.0ms	9×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 29.5b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
3.0b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite12.0ms

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:

3.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
8.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series414.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(cbrt (+ x 1.0))
175.0ms	(cbrt x)
151.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify157.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (28.0ms)

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

prune133.0ms

Filtered

53 candidates to 45 candidates (84.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	45	8	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	8	54

Merged error: 10.1b

Counts

54 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
3.6b	(pow x 2/3)

rewrite10.0ms

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:

3.0ms	(cbrt (+ x 1.0))
3.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
2.0ms	(pow x 2/3)

series521.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(cbrt (+ x 1.0))
88.0ms	(cbrt (+ x 1.0))
173.0ms	(cbrt x)
173.0ms	(pow x 2/3)

simplify99.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	257	329
1	789	298
2	3079	273
3	5003	266

prune204.0ms

Filtered

68 candidates to 52 candidates (76.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	62	6	68
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	67	9	76

Merged error: 6.4b

Counts

76 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
28.2b	(cbrt (pow x 2))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

19×	`cbrt-prod`
13×	`*-un-lft-identity`
9×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `cbrt-div` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down`
2×	`flip3-+` `flip-+` `distribute-lft-out`
1×	`unpow2` `sqr-pow`

Counts

4 → 55

Calls

4 calls:

3.0ms	(cbrt (+ x 1.0))
3.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
2.0ms	(cbrt (pow x 2))

series527.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(cbrt (+ x 1.0))
88.0ms	(cbrt (+ x 1.0))
173.0ms	(cbrt x)
178.0ms	(cbrt (pow x 2))

simplify101.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	248	353
1	728	328
2	2961	295
3	5002	295

prune225.0ms

Filtered

67 candidates to 54 candidates (80.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	62	5	67
Fresh	5	3	8
Picked	1	0	1
Done	0	0	0
Total	68	8	76

Merged error: 0.6b

Counts

76 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt (pow (cbrt x) 2))
14.0b	(cbrt (pow (* (cbrt x) (cbrt x)) 2))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`unpow-prod-down`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`unpow2` `sqr-pow`

Counts

4 → 55

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
3.0ms	(cbrt (pow (cbrt x) 2))
2.0ms	(cbrt (pow (* (cbrt x) (cbrt x)) 2))

series1.1s

Counts

4 → 12

Calls

4 calls:

364.0ms	(cbrt x)
181.0ms	(cbrt x)
265.0ms	(cbrt (pow (cbrt x) 2))
290.0ms	(cbrt (pow (* (cbrt x) (cbrt x)) 2))

simplify61.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	172	329
1	505	293
2	1602	273
3	5001	273

prune226.0ms

Filtered

67 candidates to 55 candidates (82.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	60	7	67
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	62	13	75

Merged error: 0.2b

Counts

75 → 13

regimes60.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	21
1	26	21
2	26	21

end0.0ms

sample593.0ms

Algorithm

intervals

Results

220.0ms	1772×	body	1280	valid
117.0ms	1251×	body	640	valid
100.0ms	4002×	body	80	valid
44.0ms	647×	body	320	valid
15.0ms	328×	body	160	valid