Details

sample255.0ms

Algorithm

intervals

Results

159.0ms	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

simplify81.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.8b

localize34.0ms

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))

rewrite43.0ms

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:

9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
13.0ms	(sin (/ (- phi1 phi2) 2.0))
10.0ms	(sin (/ (- phi1 phi2) 2.0))

series152.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
41.0ms	(sin (/ (- phi1 phi2) 2.0))
36.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify93.0ms

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

prune474.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 23.3b

localize50.0ms

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` `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:

10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
12.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- phi1 phi2) 2.0))

series156.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
41.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify84.0ms

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

prune658.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 13.8b

localize41.0ms

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))

rewrite42.0ms

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:

10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
12.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series151.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify63.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (3.0ms)

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

prune626.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 13.7b

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))
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` `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:

11.0ms	(sin (/ (- lambda1 lambda2) 2.0))
9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
29.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

series150.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
41.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

simplify70.0ms

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

prune549.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 13.7b

regimes1.6s

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	52	67
1	52	67

end0.0ms

sample7.7s

Algorithm

intervals

Results

5.5s	4651×	body	1280	valid
1.4s	2012×	body	640	valid
266.0ms	558×	body	320	valid
77.0ms	599×	body	80	valid
56.0ms	183×	body	160	valid