Details

sample317.0ms

Algorithm

intervals

Results

201.0ms	138×	body	1280	valid
68.0ms	69×	body	640	valid
14.0ms	21×	body	320	valid
5.0ms	18×	body	80	valid
5.0ms	11×	body	160	valid

simplify81.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 23.9b

localize34.0ms

Local error

Found 4 expressions with local error:

2.7b	(sin (/ (- lambda1 lambda2) 2.0))
2.7b	(sin (/ (- lambda1 lambda2) 2.0))
5.0b	(sin (/ (- phi1 phi2) 2.0))
5.0b	(sin (/ (- phi1 phi2) 2.0))

rewrite217.0ms

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 (/ (- phi1 phi2) 2.0))
200.0ms	(sin (/ (- phi1 phi2) 2.0))

series146.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify92.0ms

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

prune474.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 22.7b

localize56.0ms

Local error

Found 4 expressions with local error:

2.7b	(sin (/ (- lambda1 lambda2) 2.0))
2.7b	(sin (/ (- lambda1 lambda2) 2.0))
2.7b	(sin (/ (- lambda1 lambda2) 2.0))
5.0b	(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))

series153.0ms

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))

simplify89.0ms

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

prune701.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 14.1b

localize44.0ms

Local error

Found 4 expressions with local error:

2.7b	(sin (/ (- lambda1 lambda2) 2.0))
2.7b	(sin (/ (- lambda1 lambda2) 2.0))
2.7b	(sin (/ (- lambda1 lambda2) 2.0))
2.7b	(sin (/ (- lambda1 lambda2) 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))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series149.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify65.0ms

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

prune667.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 14.1b

localize56.0ms

Local error

Found 4 expressions with local error:

2.7b	(sin (/ (- lambda1 lambda2) 2.0))
2.7b	(sin (/ (- lambda1 lambda2) 2.0))
2.7b	(sin (/ (- lambda1 lambda2) 2.0))
2.7b	(sin (/ (- lambda1 lambda2) 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 (/ (- lambda1 lambda2) 2.0))

series152.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify65.0ms

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

prune501.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 14.1b

regimes2.0s

Accuracy

0% (0.4b remaining)

Error of 14.0b against oracle of 13.6b and baseline of 14.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	56
1	48	56

end0.0ms

sample9.7s

Algorithm

intervals

Results

6.9s	4770×	body	1280	valid
1.8s	1881×	body	640	valid
365.0ms	548×	body	320	valid
125.0ms	577×	body	80	valid
101.0ms	228×	body	160	valid