Details

sample266.0ms

Algorithm

intervals

Results

170.0ms	136×	body	1280	valid
55.0ms	73×	body	640	valid
9.0ms	18×	body	320	valid
3.0ms	24×	body	80	valid
2.0ms	5×	body	160	valid

simplify77.0ms

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: 24.8b

localize40.0ms

Local error

Found 4 expressions with local error:

2.1b	(sin (/ (- lambda1 lambda2) 2.0))
2.1b	(sin (/ (- lambda1 lambda2) 2.0))
3.1b	(sin (/ (- phi1 phi2) 2.0))
3.1b	(sin (/ (- phi1 phi2) 2.0))

rewrite41.0ms

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:

10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- phi1 phi2) 2.0))
10.0ms	(sin (/ (- phi1 phi2) 2.0))

series139.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
31.0ms	(sin (/ (- lambda1 lambda2) 2.0))
31.0ms	(sin (/ (- phi1 phi2) 2.0))
38.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify81.0ms

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

prune388.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 23.3b

localize51.0ms

Local error

Found 4 expressions with local error:

2.1b	(sin (/ (- lambda1 lambda2) 2.0))
2.1b	(sin (/ (- lambda1 lambda2) 2.0))
2.1b	(sin (/ (- lambda1 lambda2) 2.0))
3.1b	(sin (/ (- phi1 phi2) 2.0))

rewrite43.0ms

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:

10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
13.0ms	(sin (/ (- phi1 phi2) 2.0))

series138.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
32.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
33.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify82.0ms

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

prune559.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 13.8b

localize47.0ms

Local error

Found 4 expressions with local error:

2.1b	(sin (/ (- lambda1 lambda2) 2.0))
2.1b	(sin (/ (- lambda1 lambda2) 2.0))
2.1b	(sin (/ (- lambda1 lambda2) 2.0))
2.1b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite40.0ms

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:

10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series139.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
32.0ms	(sin (/ (- lambda1 lambda2) 2.0))
32.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify197.0ms

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

prune535.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 13.7b

localize54.0ms

Local error

Found 4 expressions with local error:

2.1b	(sin (/ (- lambda1 lambda2) 2.0))
2.1b	(sin (/ (- lambda1 lambda2) 2.0))
2.1b	(sin (/ (- lambda1 lambda2) 2.0))
2.6b	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

rewrite60.0ms

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:

10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
29.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

series133.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
31.0ms	(sin (/ (- lambda1 lambda2) 2.0))
33.0ms	(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

prune672.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 13.7b

regimes1.5s

Accuracy

0% (0.5b remaining)

Error of 14.4b against oracle of 13.9b and baseline of 14.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	65
1	50	65

end0.0ms

sample8.1s

Algorithm

intervals

Results

5.7s	4651×	body	1280	valid
1.5s	2012×	body	640	valid
310.0ms	558×	body	320	valid
82.0ms	599×	body	80	valid
64.0ms	183×	body	160	valid