Details

sample313.0ms

Algorithm

intervals

Results

211.0ms	146×	body	1280	valid
52.0ms	56×	body	640	valid
17.0ms	27×	body	320	valid
5.0ms	6×	body	160	valid
4.0ms	22×	body	80	valid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	56	38
1	102	38
2	191	38
3	377	38
4	776	38
5	2196	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: 23.0b

Counts

2 → 1

localize34.0ms

Local error

Found 4 expressions with local error:

2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))
3.5b	(sin (/ (- phi1 phi2) 2.0))
3.5b	(sin (/ (- phi1 phi2) 2.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `div-sub` `sin-diff` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

5.0ms	(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))

series159.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- phi1 phi2) 2.0))
43.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify86.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	110	276
1	190	248
2	404	248
3	880	248
4	2552	248
5	5001	248

prune663.0ms

Filtered

52 candidates to 48 candidates (92.3%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	36	16	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	16	53

Merged error: 21.8b

Counts

53 → 16

localize50.0ms

Local error

Found 4 expressions with local error:

2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))
3.5b	(sin (/ (- phi1 phi2) 2.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `div-sub` `sin-diff` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

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))

series158.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
41.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify85.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	110	276
1	190	248
2	404	248
3	880	248
4	2552	248
5	5001	248

prune621.0ms

Filtered

52 candidates to 48 candidates (92.3%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	46	6	52
Fresh	1	14	15
Picked	1	0	1
Done	0	0	0
Total	48	20	68

Merged error: 12.6b

Counts

68 → 20

localize43.0ms

Local error

Found 4 expressions with local error:

2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `div-sub` `sin-diff` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

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))

series156.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify66.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	58	276
1	99	248
2	212	248
3	467	248
4	1459	248
5	5002	248

prune599.0ms

Filtered

52 candidates to 48 candidates (92.3%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	43	9	52
Fresh	7	12	19
Picked	1	0	1
Done	0	0	0
Total	51	21	72

Merged error: 12.6b

Counts

72 → 21

localize55.0ms

Local error

Found 4 expressions with local error:

2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `div-sub` `sin-diff` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

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))

series151.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify65.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	58	276
1	99	248
2	212	248
3	467	248
4	1459	248
5	5002	248

prune448.0ms

Filtered

52 candidates to 48 candidates (92.3%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	47	5	52
Fresh	3	17	20
Picked	1	0	1
Done	0	0	0
Total	51	22	73

Merged error: 12.6b

Counts

73 → 22

regimes1.7s

Accuracy

0% (0.4b remaining)

Error of 14.2b against oracle of 13.8b and baseline of 14.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	58
1	48	58

end0.0ms

sample9.5s

Algorithm

intervals

Results

6.9s	4836×	body	1280	valid
1.7s	1865×	body	640	valid
359.0ms	562×	body	320	valid
95.0ms	547×	body	80	valid
82.0ms	193×	body	160	valid