Details

sample277.0ms

Algorithm

intervals

Results

194.0ms	161×	body	1280	valid
48.0ms	65×	body	640	valid
8.0ms	16×	body	320	valid
1.0ms	11×	body	80	valid
1.0ms	3×	body	160	valid

simplify79.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.7b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

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))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- phi1 phi2) 2.0))
6.0ms	(sin (/ (- phi1 phi2) 2.0))

series157.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- phi1 phi2) 2.0))
42.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify83.0ms

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

prune413.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 23.3b

localize57.0ms

Local error

Found 4 expressions with local error:

2.0b	(sin (/ (- lambda1 lambda2) 2.0))
2.0b	(sin (/ (- lambda1 lambda2) 2.0))
2.0b	(sin (/ (- lambda1 lambda2) 2.0))
2.3b	(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))
6.0ms	(sin (/ (- phi1 phi2) 2.0))

series154.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
41.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify84.0ms

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

prune545.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 14.9b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

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:

9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series150.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
41.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify200.0ms

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

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 14.8b

localize56.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

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))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

series156.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
43.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

simplify70.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (4.0ms)

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

prune471.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 14.8b

regimes1.6s

Accuracy

0% (0.7b remaining)

Error of 14.2b against oracle of 13.5b and baseline of 14.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	56
1	49	56

end0.0ms

sample8.2s

Algorithm

intervals

Results

5.7s	4654×	body	1280	valid
1.7s	1989×	body	640	valid
300.0ms	579×	body	320	valid
84.0ms	573×	body	80	valid
69.0ms	207×	body	160	valid
0.0ms	1×	body	320	nan