Details

sample255.0ms

Algorithm

intervals

Results

163.0ms	140×	body	1280	valid
53.0ms	65×	body	640	valid
10.0ms	20×	body	320	valid
4.0ms	11×	body	160	valid
3.0ms	20×	body	80	valid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 21.6b

localize34.0ms

Local error

Found 4 expressions with local error:

2.3b	(sin (/ (- lambda1 lambda2) 2.0))
2.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.4b	(sin (/ (- phi1 phi2) 2.0))
3.4b	(sin (/ (- phi1 phi2) 2.0))

rewrite21.0ms

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

series151.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- phi1 phi2) 2.0))
39.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify79.0ms

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

prune391.0ms

Filtered

44 candidates to 40 candidates (90.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 20.6b

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))
3.4b	(sin (/ (- phi1 phi2) 2.0))

rewrite21.0ms

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))

series155.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
43.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(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

prune570.0ms

Filtered

44 candidates to 40 candidates (90.9%)

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 12.4b

localize42.0ms

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))

rewrite21.0ms

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))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series147.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify193.0ms

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

prune543.0ms

Filtered

44 candidates to 40 candidates (90.9%)

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 12.3b

localize49.0ms

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))
3.2b	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

rewrite23.0ms

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))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

series151.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
41.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

simplify66.0ms

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

prune443.0ms

Filtered

52 candidates to 44 candidates (84.6%)

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 12.3b

regimes1.9s

Accuracy

0% (0.4b remaining)

Error of 13.8b against oracle of 13.4b and baseline of 13.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	56
1	47	56

end0.0ms

sample8.0s

Algorithm

intervals

Results

5.8s	4806×	body	1280	valid
1.4s	1874×	body	640	valid
276.0ms	544×	body	320	valid
77.0ms	555×	body	80	valid
75.0ms	226×	body	160	valid