Details

sample311.0ms

Algorithm

intervals

Results

200.0ms	138×	body	1280	valid
64.0ms	69×	body	640	valid
14.0ms	21×	body	320	valid
5.0ms	11×	body	160	valid
4.0ms	18×	body	80	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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.9b

localize33.0ms

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))

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))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- phi1 phi2) 2.0))
5.0ms	(sin (/ (- phi1 phi2) 2.0))

series147.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(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

prune453.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 22.7b

localize48.0ms

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))

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:

6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
7.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- phi1 phi2) 2.0))

series144.0ms

Counts

4 → 12

Calls

4 calls:

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

prune568.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 14.1b

localize42.0ms

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` `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 (/ (- lambda1 lambda2) 2.0))

series150.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify194.0ms

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

prune539.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 14.1b

localize48.0ms

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))
3.6b	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

rewrite35.0ms

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))
7.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

series143.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

simplify69.0ms

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

prune424.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 14.0b

regimes1.7s

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	51	58
1	51	58

end0.0ms

sample9.8s

Algorithm

intervals

Results

7.1s	4770×	body	1280	valid
1.8s	1881×	body	640	valid
362.0ms	548×	body	320	valid
113.0ms	577×	body	80	valid
104.0ms	228×	body	160	valid