Details

sample336.0ms

Algorithm

intervals

Results

243.0ms	165×	body	1280	valid
60.0ms	64×	body	640	valid
5.0ms	7×	body	320	valid
3.0ms	14×	body	80	valid
3.0ms	6×	body	160	valid

simplify75.0ms

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: 28.0b

localize39.0ms

Local error

Found 4 expressions with local error:

4.3b	(sin (/ (- lambda1 lambda2) 2.0))
4.3b	(sin (/ (- lambda1 lambda2) 2.0))
5.7b	(sin (/ (- phi1 phi2) 2.0))
5.7b	(sin (/ (- phi1 phi2) 2.0))

rewrite22.0ms

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:

6.0ms	(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))

series148.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- phi1 phi2) 2.0))
40.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify79.0ms

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

prune402.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 26.3b

localize53.0ms

Local error

Found 4 expressions with local error:

4.3b	(sin (/ (- lambda1 lambda2) 2.0))
4.3b	(sin (/ (- lambda1 lambda2) 2.0))
4.3b	(sin (/ (- lambda1 lambda2) 2.0))
5.7b	(sin (/ (- phi1 phi2) 2.0))

rewrite22.0ms

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:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- phi1 phi2) 2.0))

series148.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify85.0ms

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

prune534.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 15.4b

localize43.0ms

Local error

Found 4 expressions with local error:

4.3b	(sin (/ (- lambda1 lambda2) 2.0))
4.3b	(sin (/ (- lambda1 lambda2) 2.0))
4.3b	(sin (/ (- lambda1 lambda2) 2.0))
4.3b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite25.0ms

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:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series145.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify196.0ms

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

prune501.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 15.4b

localize52.0ms

Local error

Found 4 expressions with local error:

4.3b	(sin (/ (- lambda1 lambda2) 2.0))
4.3b	(sin (/ (- lambda1 lambda2) 2.0))
4.3b	(sin (/ (- lambda1 lambda2) 2.0))
6.1b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite23.0ms

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:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series148.0ms

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

simplify82.0ms

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

prune643.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 15.4b

regimes1.5s

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	51	58
1	51	58

end0.0ms

sample9.8s

Algorithm

intervals

Results

7.1s	4832×	body	1280	valid
1.8s	1872×	body	640	valid
397.0ms	570×	body	320	valid
103.0ms	532×	body	80	valid
92.0ms	194×	body	160	valid