Details

sample301.0ms

Algorithm

intervals

Results

209.0ms	157×	body	1280	valid
51.0ms	56×	body	640	valid
9.0ms	15×	body	320	valid
5.0ms	22×	body	80	valid
3.0ms	7×	body	160	valid

simplify77.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 26.1b

Counts

2 → 1

localize35.0ms

Local error

Found 4 expressions with local error:

3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))
4.9b	(sin (/ (- phi1 phi2) 2.0))
4.9b	(sin (/ (- phi1 phi2) 2.0))

rewrite27.0ms

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 (/ (- phi1 phi2) 2.0))
10.0ms	(sin (/ (- phi1 phi2) 2.0))

series146.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
41.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- phi1 phi2) 2.0))
36.0ms	(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

prune394.0ms

Filtered

44 candidates to 40 candidates (90.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	30	14	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	14	45

Merged error: 24.6b

Counts

45 → 14

localize53.0ms

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))
4.9b	(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:

40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
41.0ms	(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

prune518.0ms

Filtered

44 candidates to 40 candidates (90.9%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	38	6	44
Fresh	2	11	13
Picked	1	0	1
Done	0	0	0
Total	41	17	58

Merged error: 15.0b

Counts

58 → 17

localize41.0ms

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))

rewrite24.0ms

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:

8.0ms	(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))

series148.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify197.0ms

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

prune517.0ms

Filtered

44 candidates to 40 candidates (90.9%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	38	6	44
Fresh	3	13	16
Picked	1	0	1
Done	0	0	0
Total	42	19	61

Merged error: 15.0b

Counts

61 → 19

localize52.0ms

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))
7.2b	(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))

series146.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
41.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify90.0ms

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

prune404.0ms

Filtered

57 candidates to 44 candidates (77.2%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	53	4	57
Fresh	2	16	18
Picked	1	0	1
Done	0	0	0
Total	56	20	76

Merged error: 15.0b

Counts

76 → 20

regimes1.5s

Accuracy

0% (0.5b remaining)

Error of 13.9b against oracle of 13.5b and baseline of 13.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	58
1	49	58

end0.0ms

sample9.0s

Algorithm

intervals

Results

6.3s	4757×	body	1280	valid
1.6s	1929×	body	640	valid
487.0ms	547×	body	320	valid
97.0ms	565×	body	80	valid
80.0ms	206×	body	160	valid