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	10	5
1	11	5
2	11	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)))
3.0ms	(sqrt (- (* x x) 1.0))

series122.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(+ x (sqrt (- (* x x) 1.0)))
55.0ms	(sqrt (- (* x x) 1.0))

simplify57.0ms

Algorithm

egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	167	103
1	518	102
2	2047	96
3	5001	96

prune35.0ms

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

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ 1 x) (+ (/ 0.125 (pow x 2)) 0.5))
0.6b	(/ 0.125 (pow x 2))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`frac-times`
4×	`frac-2neg` `flip3-+` `clear-num` `flip-+`
3×	`associate-*l/`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-/r` `div-inv`
1×	`associate-l` `*-commutative` `unpow2` `sqr-pow`

Counts

2 → 22

Calls

2 calls:

7.0ms	(* (/ 1 x) (+ (/ 0.125 (pow x 2)) 0.5))
2.0ms	(/ 0.125 (pow x 2))

series108.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(* (/ 1 x) (+ (/ 0.125 (pow x 2)) 0.5))
24.0ms	(/ 0.125 (pow x 2))

simplify169.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	180	170
1	799	152
2	4908	151
3	5001	151

prune54.0ms

Filtered

28 candidates to 18 candidates (64.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	28	2	30

Merged error: 0b

Counts

30 → 2

regimes40.0ms

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	18	8
1	18	8

end0.0ms

sample1.4s

Algorithm

intervals

Results

404.0ms	16469×	body	80	nan
385.0ms	7752×	body	160	nan
246.0ms	8000×	body	80	valid