Details

sample264.0ms

Algorithm

intervals

Results

181.0ms	155×	body	1280	valid
48.0ms	58×	body	640	valid
8.0ms	17×	body	320	valid
3.0ms	21×	body	80	valid
2.0ms	5×	body	160	valid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	56	38
1	98	38
2	182	38
3	309	38
4	609	38
5	2169	38
6	5001	38

prune6.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.7b

localize33.0ms

Local error

Found 4 expressions with local error:

2.3b	(sin (/ (- lambda1 lambda2) 2.0))
2.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- phi1 phi2) 2.0))
3.6b	(sin (/ (- phi1 phi2) 2.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `div-sub` `sin-diff` `add-cbrt-cube` `add-log-exp`

Counts

4 → 32

Calls

4 calls:

8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- phi1 phi2) 2.0))
5.0ms	(sin (/ (- phi1 phi2) 2.0))

series145.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- phi1 phi2) 2.0))
35.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify80.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	102	248
1	170	216
2	356	216
3	692	216
4	2118	216
5	5001	216

prune371.0ms

Filtered

44 candidates to 40 candidates (90.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 23.1b

localize53.0ms

Local error

Found 4 expressions with local error:

2.3b	(sin (/ (- lambda1 lambda2) 2.0))
2.3b	(sin (/ (- lambda1 lambda2) 2.0))
2.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- phi1 phi2) 2.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `div-sub` `sin-diff` `add-cbrt-cube` `add-log-exp`

Counts

4 → 32

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- phi1 phi2) 2.0))

series149.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify81.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	102	248
1	170	216
2	356	216
3	692	216
4	2118	216
5	5001	216

prune517.0ms

Filtered

44 candidates to 40 candidates (90.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 12.8b

localize45.0ms

Local error

Found 4 expressions with local error:

2.3b	(sin (/ (- lambda1 lambda2) 2.0))
2.3b	(sin (/ (- lambda1 lambda2) 2.0))
2.3b	(sin (/ (- lambda1 lambda2) 2.0))
2.3b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `div-sub` `sin-diff` `add-cbrt-cube` `add-log-exp`

Counts

4 → 32

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series145.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify199.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	54	248
1	89	216
2	188	216
3	373	216
4	1242	216
5	4970	216
6	5002	216

prune501.0ms

Filtered

44 candidates to 40 candidates (90.9%)

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 12.8b

localize51.0ms

Local error

Found 4 expressions with local error:

2.3b	(sin (/ (- lambda1 lambda2) 2.0))
2.3b	(sin (/ (- lambda1 lambda2) 2.0))
2.3b	(sin (/ (- lambda1 lambda2) 2.0))
2.9b	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
4×	`add-exp-log` `div-sub` `log-pow` `sin-diff` `add-cbrt-cube` `add-log-exp`
3×	`log-prod` `exp-prod`
1×	`log-div` `exp-diff` `rem-log-exp`

Counts

4 → 40

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
7.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
17.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

series146.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

simplify67.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	91	298
1	150	260
2	292	260
3	578	260
4	1948	260
5	5001	260

prune437.0ms

Filtered

52 candidates to 44 candidates (84.6%)

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 12.7b

regimes1.6s

Accuracy

0% (0.4b remaining)

Error of 14.5b against oracle of 14.0b and baseline of 14.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	58
1	48	58

end0.0ms

sample7.9s

Algorithm

intervals

Results

5.7s	4765×	body	1280	valid
1.4s	1902×	body	640	valid
276.0ms	560×	body	320	valid
92.0ms	578×	body	80	valid
72.0ms	195×	body	160	valid
0.0ms	1×	body	160	nan