Details

sample257.0ms

Algorithm

intervals

Results

175.0ms	155×	body	1280	valid
46.0ms	58×	body	640	valid
8.0ms	17×	body	320	valid
3.0ms	21×	body	80	valid
2.0ms	5×	body	160	valid

simplify80.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.7b

localize39.0ms

Local error

Found 4 expressions with local error:

2.3b	(sin (/ (- lambda1 lambda2) 2.0))
2.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- phi1 phi2) 2.0))
3.6b	(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 (/ (- phi1 phi2) 2.0))
6.0ms	(sin (/ (- phi1 phi2) 2.0))

series151.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- phi1 phi2) 2.0))
41.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify88.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	110	276
1	190	248
2	404	248
3	880	248
4	2552	248
5	5001	248

prune469.0ms

Filtered

52 candidates to 48 candidates (92.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 23.0b

localize56.0ms

Local error

Found 4 expressions with local error:

2.3b	(sin (/ (- lambda1 lambda2) 2.0))
2.3b	(sin (/ (- lambda1 lambda2) 2.0))
2.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(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))

series152.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify85.0ms

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

prune648.0ms

Filtered

52 candidates to 48 candidates (92.3%)

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 12.8b

localize43.0ms

Local error

Found 4 expressions with local error:

2.3b	(sin (/ (- lambda1 lambda2) 2.0))
2.3b	(sin (/ (- lambda1 lambda2) 2.0))
2.3b	(sin (/ (- lambda1 lambda2) 2.0))
2.3b	(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))

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

simplify64.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	58	276
1	99	248
2	212	248
3	467	248
4	1459	248
5	5002	248

prune627.0ms

Filtered

52 candidates to 48 candidates (92.3%)

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 12.7b

localize49.0ms

Local error

Found 4 expressions with local error:

2.3b	(sin (/ (- lambda1 lambda2) 2.0))
2.3b	(sin (/ (- lambda1 lambda2) 2.0))
2.3b	(sin (/ (- lambda1 lambda2) 2.0))
2.9b	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `div-sub` `log-pow` `sin-diff` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `exp-prod`
1×	`log-div` `exp-diff` `rem-log-exp`

Counts

4 → 48

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

series146.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

simplify71.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	97	326
1	162	292
2	318	292
3	674	292
4	2170	292
5	5002	292

prune540.0ms

Filtered

60 candidates to 53 candidates (88.3%)

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 12.7b

regimes1.8s

Accuracy

0% (0.4b remaining)

Error of 14.4b against oracle of 14.0b and baseline of 14.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	58
1	50	58

end0.0ms

sample8.0s

Algorithm

intervals

Results

5.8s	4765×	body	1280	valid
1.4s	1902×	body	640	valid
268.0ms	560×	body	320	valid
82.0ms	578×	body	80	valid
61.0ms	195×	body	160	valid
0.0ms	1×	body	160	nan