Details

sample277.0ms

Algorithm

intervals

Results

202.0ms	168×	body	1280	valid
38.0ms	53×	body	640	valid
9.0ms	19×	body	320	valid
2.0ms	5×	body	160	valid
2.0ms	11×	body	80	valid

simplify74.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.6b

localize33.0ms

Local error

Found 4 expressions with local error:

3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 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 (/ (- lambda1 lambda2) 2.0))

series150.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify193.0ms

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

prune386.0ms

Filtered

44 candidates to 40 candidates (90.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 25.2b

localize43.0ms

Local error

Found 4 expressions with local error:

3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))
6.5b	(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))

series153.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify82.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 4 (77.0ms)

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

prune457.0ms

Filtered

57 candidates to 44 candidates (77.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 25.1b

localize48.0ms

Local error

Found 4 expressions with local error:

3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))
6.5b	(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))

series150.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify81.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 4 (76.0ms)

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

prune480.0ms

Filtered

57 candidates to 43 candidates (75.4%)

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 25.1b

localize48.0ms

Local error

Found 4 expressions with local error:

3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite20.0ms

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 (/ (- lambda1 lambda2) 2.0))

series155.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify194.0ms

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

prune383.0ms

Filtered

44 candidates to 40 candidates (90.9%)

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 25.1b

regimes1.5s

Accuracy

0% (0.8b remaining)

Error of 24.6b against oracle of 23.8b and baseline of 24.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	44
1	45	44

end0.0ms

sample8.0s

Algorithm

intervals

Results

5.8s	4725×	body	1280	valid
1.4s	1923×	body	640	valid
286.0ms	581×	body	320	valid
84.0ms	587×	body	80	valid
65.0ms	187×	body	160	valid
1.0ms	1×	body	640	nan