Details

sample69.0ms

Algorithm

intervals

Results

36.0ms	260×	body	80	valid
4.0ms	5×	body	1280	valid
2.0ms	3×	body	640	valid
0.0ms	1×	body	320	valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (12.0ms)

Iter	Nodes	Cost
0	50	16
1	95	16
2	211	16
3	553	15
4	1974	15
5	5002	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

localize21.0ms

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))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 23

Calls

4 calls:

10.0ms	(- (- (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))

series559.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(- (- (pow (- (/ (+ m n) 2.0) M) 2.0)) (- l (fabs (- m n))))
24.0ms	(* K (+ m n))
299.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
50.0ms	(cos (- (/ (* K (+ m n)) 2.0) M))

simplify56.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	251	240
1	641	229
2	2180	217
3	5002	212

prune131.0ms

Filtered

35 candidates to 26 candidates (74.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	2	36

Merged error: 0.6b

Counts

36 → 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)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

3×	`fma-neg` `sqr-pow`
2×	`sub-neg` `associate--r+`
1×	`associate--l-` `neg-sub0` `distribute-lft-neg-in` `pow-to-exp` `neg-mul-1` `flip3--` `distribute-rgt-neg-in` `flip--` `associate--r-`

Counts

2 → 13

Calls

2 calls:

8.0ms	(- (- (pow (- (/ (+ m n) 2.0) M) 2.0)) (- l (fabs (- m n))))
4.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)

series450.0ms

Counts

2 → 6

Calls

2 calls:

189.0ms	(- (- (pow (- (/ (+ m n) 2.0) M) 2.0)) (- l (fabs (- m n))))
261.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)

simplify59.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	177	166
1	456	155
2	1693	143
3	5001	136

prune78.0ms

Filtered

19 candidates to 16 candidates (84.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	19	0	19
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	19	2	21

Merged error: 0.6b

Counts

21 → 2

regimes126.0ms

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

sample1.2s

Algorithm

intervals

Results

728.0ms	8087×	body	80	valid
69.0ms	132×	body	1280	valid
54.0ms	145×	body	640	valid
29.0ms	108×	body	320	valid
8.0ms	43×	body	160	valid
1.0ms	2×	body	2560	valid