Details

sample41.0ms

Algorithm

intervals

Results

21.0ms	260×	body	80	valid
2.0ms	5×	body	1280	valid
1.0ms	3×	body	640	valid
0.0ms	1×	body	320	valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	50	16
1	93	16
2	200	16
3	517	15
4	1893	15
5	5001	15

prune8.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 13.5b

Counts

2 → 1

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (pow (- (/ (+ m n) 2.0) M) 2.0)) (- l (fabs (- m n))))
0.0b	(* K (+ m n))
0.0b	(pow (- (/ (+ m n) 2.0) M) 2.0)
36.1b	(cos (- (/ (* K (+ m n)) 2.0) M))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

3×	`sub-neg`
2×	`+-commutative` `distribute-rgt-in` `cos-sum` `distribute-lft-in` `associate-*r/` `associate--r+`
1×	`associate--l-` `neg-sub0` `cos-diff` `pow-to-exp` `flip3--` `flip3-+` `*-commutative` `flip--` `flip-+` `associate--r-` `sqr-pow`

Counts

4 → 20

Calls

4 calls:

7.0ms	(- (- (pow (- (/ (+ m n) 2.0) M) 2.0)) (- l (fabs (- m n))))
3.0ms	(* K (+ m n))
4.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
7.0ms	(cos (- (/ (* K (+ m n)) 2.0) M))

series536.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(- (- (pow (- (/ (+ m n) 2.0) M) 2.0)) (- l (fabs (- m n))))
27.0ms	(* K (+ m n))
285.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
52.0ms	(cos (- (/ (* K (+ m n)) 2.0) M))

simplify55.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	242	228
1	581	220
2	1930	215
3	5001	208

prune111.0ms

Filtered

32 candidates to 22 candidates (68.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	2	33

Merged error: 0.6b

Counts

33 → 2

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (- (pow (- (/ (+ m n) 2.0) M) 2.0)) (- l (fabs (- m n))))
0.0b	(pow (- (/ (+ m n) 2.0) M) 2.0)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

2×	`sub-neg` `associate--r+`
1×	`associate--l-` `neg-sub0` `pow-to-exp` `flip3--` `flip--` `associate--r-` `sqr-pow`

Counts

2 → 10

Calls

2 calls:

6.0ms	(- (- (pow (- (/ (+ m n) 2.0) M) 2.0)) (- l (fabs (- m n))))
4.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)

series421.0ms

Counts

2 → 6

Calls

2 calls:

172.0ms	(- (- (pow (- (/ (+ m n) 2.0) M) 2.0)) (- l (fabs (- m n))))
248.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)

simplify49.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	172	154
1	423	146
2	1531	141
3	5001	134

prune53.0ms

Filtered

16 candidates to 13 candidates (81.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	16	2	18

Merged error: 0.6b

Counts

18 → 2

regimes125.0ms

Accuracy

0% (0.2b remaining)

Error of 1.4b against oracle of 1.2b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	10
1	23	10
2	23	10

end0.0ms

sample1.1s

Algorithm

intervals

Results

656.0ms	8087×	body	80	valid
66.0ms	132×	body	1280	valid
51.0ms	145×	body	640	valid
32.0ms	108×	body	320	valid
10.0ms	43×	body	160	valid
1.0ms	2×	body	2560	valid