Details

sample313.0ms

Algorithm

intervals

Results

213.0ms	154×	body	1280	valid
57.0ms	61×	body	640	valid
11.0ms	19×	body	320	valid
4.0ms	9×	body	160	valid
3.0ms	13×	body	80	valid

simplify82.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	38
1	102	38
2	191	38
3	377	38
4	776	38
5	2500	38
6	5002	38

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.0b

localize39.0ms

Local error

Found 4 expressions with local error:

3.5b	(sin (/ (- lambda1 lambda2) 2.0))
3.5b	(sin (/ (- lambda1 lambda2) 2.0))
4.0b	(sin (/ (- phi1 phi2) 2.0))
4.0b	(sin (/ (- phi1 phi2) 2.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `div-sub` `sin-diff` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

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))

series149.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(sin (/ (- lambda1 lambda2) 2.0))
34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(sin (/ (- phi1 phi2) 2.0))
35.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify86.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	110	276
1	190	248
2	404	248
3	880	248
4	2552	248
5	5001	248

prune461.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 25.4b

localize52.0ms

Local error

Found 4 expressions with local error:

3.5b	(sin (/ (- lambda1 lambda2) 2.0))
3.5b	(sin (/ (- lambda1 lambda2) 2.0))
3.5b	(sin (/ (- lambda1 lambda2) 2.0))
4.0b	(sin (/ (- phi1 phi2) 2.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `div-sub` `sin-diff` `add-cbrt-cube` `log1p-expm1-u` `add-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))
5.0ms	(sin (/ (- phi1 phi2) 2.0))

series150.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify86.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	110	276
1	190	248
2	404	248
3	880	248
4	2552	248
5	5001	248

prune656.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 15.7b

localize43.0ms

Local error

Found 4 expressions with local error:

3.5b	(sin (/ (- lambda1 lambda2) 2.0))
3.5b	(sin (/ (- lambda1 lambda2) 2.0))
3.5b	(sin (/ (- lambda1 lambda2) 2.0))
3.5b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `div-sub` `sin-diff` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

8.0ms	(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))

series142.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify62.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	58	276
1	99	248
2	212	248
3	467	248
4	1459	248
5	5002	248

prune661.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 15.6b

localize52.0ms

Local error

Found 4 expressions with local error:

3.5b	(sin (/ (- lambda1 lambda2) 2.0))
3.5b	(sin (/ (- lambda1 lambda2) 2.0))
3.5b	(sin (/ (- lambda1 lambda2) 2.0))
3.5b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `div-sub` `sin-diff` `add-cbrt-cube` `log1p-expm1-u` `add-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))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series148.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify63.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	58	276
1	99	248
2	212	248
3	467	248
4	1459	248
5	5002	248

prune486.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 15.6b

regimes1.6s

Accuracy

0% (0.4b remaining)

Error of 13.9b against oracle of 13.5b and baseline of 13.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	58
1	48	58

end0.0ms

sample9.4s

Algorithm

intervals

Results

6.6s	4782×	body	1280	valid
1.9s	1879×	body	640	valid
346.0ms	527×	body	320	valid
139.0ms	605×	body	80	valid
98.0ms	210×	body	160	valid
0.0ms	1×	body	80	nan