Details

sample265.0ms

Algorithm

intervals

Results

176.0ms	145×	body	1280	valid
49.0ms	61×	body	640	valid
10.0ms	21×	body	320	valid
3.0ms	23×	body	80	valid
3.0ms	6×	body	160	valid

simplify74.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.2b

localize35.0ms

Local error

Found 4 expressions with local error:

2.0b	(sin (/ (- lambda1 lambda2) 2.0))
2.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.1b	(sin (/ (- phi1 phi2) 2.0))
3.1b	(sin (/ (- phi1 phi2) 2.0))

rewrite26.0ms

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))
9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- phi1 phi2) 2.0))
5.0ms	(sin (/ (- phi1 phi2) 2.0))

series145.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
34.0ms	(sin (/ (- phi1 phi2) 2.0))
37.0ms	(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

prune394.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 19.9b

localize53.0ms

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))
3.1b	(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))

series147.0ms

Counts

4 → 12

Calls

4 calls:

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

prune561.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 11.5b

localize45.0ms

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:

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

series144.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify206.0ms

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

prune510.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 11.4b

localize55.0ms

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))
5.6b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite23.0ms

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))
6.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series147.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
41.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify79.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 4 (74.0ms)

Iter	Nodes	Cost
0	106	315
1	282	311
2	757	311
3	2984	311
4	5001	284

prune435.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 11.4b

regimes1.4s

Accuracy

0% (0.4b remaining)

Error of 14.2b against oracle of 13.8b and baseline of 14.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	58
1	49	58

end0.0ms

sample8.2s

Algorithm

intervals

Results

5.8s	4738×	body	1280	valid
1.4s	1874×	body	640	valid
302.0ms	570×	body	320	valid
91.0ms	618×	body	80	valid
73.0ms	204×	body	160	valid