Details

sample313.0ms

Algorithm

intervals

Results

207.0ms	154×	body	1280	valid
57.0ms	61×	body	640	valid
16.0ms	19×	body	320	valid
4.0ms	9×	body	160	valid
4.0ms	13×	body	80	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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.0b

localize34.0ms

Local error

Found 4 expressions with local error:

3.5b	(sin (/ (- lambda1 lambda2) 2.0))
3.5b	(sin (/ (- lambda1 lambda2) 2.0))
4.0b	(sin (/ (- phi1 phi2) 2.0))
4.0b	(sin (/ (- phi1 phi2) 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))
9.0ms	(sin (/ (- phi1 phi2) 2.0))
5.0ms	(sin (/ (- phi1 phi2) 2.0))

series143.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(sin (/ (- phi1 phi2) 2.0))
35.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify80.0ms

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

prune393.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 25.4b

localize50.0ms

Local error

Found 4 expressions with local error:

3.5b	(sin (/ (- lambda1 lambda2) 2.0))
3.5b	(sin (/ (- lambda1 lambda2) 2.0))
3.5b	(sin (/ (- lambda1 lambda2) 2.0))
4.0b	(sin (/ (- phi1 phi2) 2.0))

rewrite21.0ms

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

series150.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify81.0ms

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

prune571.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 15.7b

localize44.0ms

Local error

Found 4 expressions with local error:

3.5b	(sin (/ (- lambda1 lambda2) 2.0))
3.5b	(sin (/ (- lambda1 lambda2) 2.0))
3.5b	(sin (/ (- lambda1 lambda2) 2.0))
3.5b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite23.0ms

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

series143.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
33.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
34.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify195.0ms

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

prune535.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 15.6b

localize49.0ms

Local error

Found 4 expressions with local error:

3.5b	(sin (/ (- lambda1 lambda2) 2.0))
3.5b	(sin (/ (- lambda1 lambda2) 2.0))
3.5b	(sin (/ (- lambda1 lambda2) 2.0))
5.5b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite22.0ms

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))

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

simplify83.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 4 (79.0ms)

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

prune431.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 15.6b

regimes1.5s

Accuracy

0% (0.7b remaining)

Error of 14.1b against oracle of 13.5b and baseline of 14.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	58
1	43	58

end0.0ms

sample9.2s

Algorithm

intervals

Results

6.6s	4782×	body	1280	valid
1.7s	1879×	body	640	valid
340.0ms	527×	body	320	valid
143.0ms	605×	body	80	valid
101.0ms	210×	body	160	valid
0.0ms	1×	body	80	nan