Details

sample311.0ms

Algorithm

intervals

Results

217.0ms	157×	body	1280	valid
48.0ms	56×	body	640	valid
9.0ms	15×	body	320	valid
6.0ms	22×	body	80	valid
3.0ms	7×	body	160	valid

simplify83.0ms

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	2500	38
6	5002	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

localize43.0ms

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))

rewrite22.0ms

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

series150.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
41.0ms	(sin (/ (- phi1 phi2) 2.0))
37.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify89.0ms

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

prune455.0ms

Filtered

52 candidates to 48 candidates (92.3%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	37	15	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	15	53

Merged error: 24.6b

Counts

53 → 15

localize55.0ms

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))

rewrite22.0ms

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))

series143.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify88.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (5.0ms)

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

prune600.0ms

Filtered

52 candidates to 48 candidates (92.3%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	45	7	52
Fresh	3	11	14
Picked	1	0	1
Done	0	0	0
Total	49	18	67

Merged error: 15.0b

Counts

67 → 18

localize45.0ms

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` `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))

series144.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify66.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (4.0ms)

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

prune574.0ms

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	3	14	17
Picked	1	0	1
Done	0	0	0
Total	50	20	70

Merged error: 15.0b

Counts

70 → 20

localize57.0ms

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))

rewrite22.0ms

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))

series153.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify66.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (4.0ms)

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

prune445.0ms

Filtered

52 candidates to 48 candidates (92.3%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	1	18	19
Picked	1	0	1
Done	0	0	0
Total	51	21	72

Merged error: 15.0b

Counts

72 → 21

regimes1.6s

Accuracy

0% (0.4b 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	47	56
1	47	56

end0.0ms

sample9.2s

Algorithm

intervals

Results

6.6s	4757×	body	1280	valid
1.7s	1929×	body	640	valid
338.0ms	547×	body	320	valid
108.0ms	565×	body	80	valid
85.0ms	206×	body	160	valid