Details

sample50.0ms

Algorithm

intervals

Results

13.0ms	280×	body	160	nan
13.0ms	557×	body	80	nan
8.0ms	256×	body	80	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	5
1	12	5
2	12	5

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: 34.1b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (sqrt (- (* x x) 1.0)))
31.8b	(sqrt (- (* x x) 1.0))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

2×	`sqrt-div`
1×	`+-commutative` `flip3--` `flip3-+` `pow1/2` `flip--` `flip-+`

Counts

2 → 6

Calls

2 calls:

3.0ms	(+ x (sqrt (- (* x x) 1.0)))
4.0ms	(sqrt (- (* x x) 1.0))

series121.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(+ x (sqrt (- (* x x) 1.0)))
54.0ms	(sqrt (- (* x x) 1.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	180	103
1	587	96
2	2295	91
3	5002	90

prune37.0ms

Filtered

12 candidates to 12 candidates (100.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	11	1	12
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	2	13

Merged error: 0b

Counts

13 → 2

localize16.0ms

Local error

Found 1 expressions with local error:

0.4b	(/ 1 (pow x 3))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-/r*`
1×	`pow-to-exp` `rec-exp` `pow-flip` `frac-2neg` `unpow3` `clear-num` `div-inv` `inv-pow` `sqr-pow`

Counts

1 → 8

Calls

1 calls:

3.0ms

(/ 1 (pow x 3))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(/ 1 (pow x 3))

simplify37.0ms

Algorithm

egg-herbie

Counts

11 → 11

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	20
1	64	20
2	221	20
3	1068	20
4	5001	20

prune25.0ms

Filtered

11 candidates to 7 candidates (63.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	11	0	11
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	11	2	13

Merged error: 0b

Counts

13 → 2

regimes41.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	8
1	17	8

end0.0ms

sample1.4s

Algorithm

intervals

Results

383.0ms	16469×	body	80	nan
371.0ms	7752×	body	160	nan
230.0ms	8000×	body	80	valid