Details

sample268.0ms

Algorithm

intervals

Results

191.0ms	163×	body	1280	valid
38.0ms	54×	body	640	valid
9.0ms	19×	body	320	valid
2.0ms	17×	body	80	valid
1.0ms	3×	body	160	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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.4b

localize38.0ms

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))

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:

13.0ms	(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))

series130.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
31.0ms	(sin (/ (- lambda1 lambda2) 2.0))
31.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify195.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	54	248
1	89	216
2	188	216
3	373	216
4	1242	216
5	4970	216
6	5002	216

prune357.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 22.9b

localize38.0ms

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))
6.8b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `div-sub` `cube-prod` `sin-diff`
1×	`cube-mult` `pow1/3` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

4 → 45

Calls

4 calls:

10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
12.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series132.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(sin (/ (- lambda1 lambda2) 2.0))
31.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
32.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify90.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 4 (80.0ms)

Iter	Nodes	Cost
0	106	313
1	282	309
2	784	309
3	3070	309
4	5002	282

prune424.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 22.9b

localize50.0ms

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))
6.8b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `div-sub` `cube-prod` `sin-diff`
1×	`cube-mult` `pow1/3` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

4 → 45

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	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series137.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
31.0ms	(sin (/ (- lambda1 lambda2) 2.0))
32.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify83.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 4 (78.0ms)

Iter	Nodes	Cost
0	106	313
1	282	309
2	784	309
3	3070	309
4	5002	282

prune495.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 22.9b

localize46.0ms

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))

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:

13.0ms	(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))

series135.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
32.0ms	(sin (/ (- lambda1 lambda2) 2.0))
33.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify192.0ms

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

prune357.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 22.9b

regimes1.0s

Accuracy

0% (0.5b remaining)

Error of 24.1b against oracle of 23.6b and baseline of 24.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	42
1	43	42

end0.0ms

sample8.0s

Algorithm

intervals

Results

5.6s	4683×	body	1280	valid
1.4s	1916×	body	640	valid
302.0ms	593×	body	320	valid
83.0ms	583×	body	80	valid
72.0ms	226×	body	160	valid
2.0ms	3×	body	640	nan