Details

sample254.0ms

Algorithm

intervals

Results

166.0ms	140×	body	1280	valid
48.0ms	65×	body	640	valid
10.0ms	20×	body	320	valid
4.0ms	11×	body	160	valid
3.0ms	20×	body	80	valid

simplify79.0ms

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: 21.6b

localize41.0ms

Local error

Found 4 expressions with local error:

2.3b	(sin (/ (- lambda1 lambda2) 2.0))
2.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.4b	(sin (/ (- phi1 phi2) 2.0))
3.4b	(sin (/ (- phi1 phi2) 2.0))

rewrite21.0ms

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))
5.0ms	(sin (/ (- phi1 phi2) 2.0))

series149.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify90.0ms

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

prune489.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 20.6b

localize57.0ms

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))
3.4b	(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))

series158.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify87.0ms

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

prune703.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 12.4b

localize44.0ms

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))

rewrite21.0ms

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))

series152.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify66.0ms

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

prune662.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 12.3b

localize54.0ms

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))
3.2b	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

rewrite22.0ms

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))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

series157.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
43.0ms	(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

prune529.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 12.3b

regimes2.2s

Accuracy

0% (0.4b remaining)

Error of 13.8b against oracle of 13.4b and baseline of 13.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	58
1	48	58

end0.0ms

sample8.1s

Algorithm

intervals

Results

5.9s	4806×	body	1280	valid
1.4s	1874×	body	640	valid
270.0ms	544×	body	320	valid
80.0ms	226×	body	160	valid
76.0ms	555×	body	80	valid