Details

sample271.0ms

Algorithm

intervals

Results

188.0ms	160×	body	1280	valid
42.0ms	51×	body	640	valid
8.0ms	16×	body	320	valid
7.0ms	22×	body	80	valid
2.0ms	7×	body	160	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.0b

localize34.0ms

Local error

Found 4 expressions with local error:

2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))
3.4b	(sin (/ (- phi1 phi2) 2.0))
3.4b	(sin (/ (- phi1 phi2) 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:

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))

series149.0ms

Counts

4 → 12

Calls

4 calls:

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

prune397.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 22.8b

localize49.0ms

Local error

Found 4 expressions with local error:

2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))
3.4b	(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))

series150.0ms

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	(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

prune565.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 14.4b

localize41.0ms

Local error

Found 4 expressions with local error:

2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 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:

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

series148.0ms

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

simplify196.0ms

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

prune563.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 14.4b

localize49.0ms

Local error

Found 4 expressions with local error:

2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))
7.7b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `div-sub` `cube-prod` `sin-diff`
1×	`cube-mult` `pow1/3` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

4 → 45

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series148.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify88.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 4 (78.0ms)

Iter	Nodes	Cost
0	106	313
1	282	309
2	784	309
3	3070	309
4	5002	282

prune433.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 14.3b

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	48	56
1	48	56

end0.0ms

sample8.1s

Algorithm

intervals

Results

5.8s	4741×	body	1280	valid
1.6s	1913×	body	640	valid
299.0ms	568×	body	320	valid
86.0ms	590×	body	80	valid
61.0ms	191×	body	160	valid