Details

sample312.0ms

Algorithm

intervals

Results

219.0ms	158×	body	1280	valid
57.0ms	61×	body	640	valid
6.0ms	10×	body	320	valid
3.0ms	21×	body	80	valid
2.0ms	6×	body	160	valid

simplify78.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 25.6b

Counts

2 → 1

localize39.0ms

Local error

Found 4 expressions with local error:

3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
4.1b	(sin (/ (- phi1 phi2) 2.0))
4.1b	(sin (/ (- phi1 phi2) 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 (/ (- phi1 phi2) 2.0))
5.0ms	(sin (/ (- phi1 phi2) 2.0))

series151.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
41.0ms	(sin (/ (- phi1 phi2) 2.0))
36.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify85.0ms

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

prune453.0ms

Filtered

52 candidates to 48 candidates (92.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	39	13	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	13	53

Merged error: 23.9b

Counts

53 → 13

localize50.0ms

Local error

Found 4 expressions with local error:

3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
4.1b	(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))

series147.0ms

Counts

4 → 12

Calls

4 calls:

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

prune641.0ms

Filtered

52 candidates to 48 candidates (92.3%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	43	9	52
Fresh	3	9	12
Picked	1	0	1
Done	0	0	0
Total	47	18	65

Merged error: 11.6b

Counts

65 → 18

localize42.0ms

Local error

Found 4 expressions with local error:

3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(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))

series146.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify64.0ms

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

prune610.0ms

Filtered

52 candidates to 48 candidates (92.3%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	44	8	52
Fresh	5	12	17
Picked	1	0	1
Done	0	0	0
Total	50	20	70

Merged error: 11.5b

Counts

70 → 20

localize54.0ms

Local error

Found 4 expressions with local error:

3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(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))

series149.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify64.0ms

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

prune459.0ms

Filtered

52 candidates to 48 candidates (92.3%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	1	18	19
Picked	1	0	1
Done	0	0	0
Total	52	20	72

Merged error: 11.5b

Counts

72 → 20

regimes1.6s

Accuracy

0% (0.4b remaining)

Error of 13.3b against oracle of 12.9b and baseline of 13.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	56
1	48	56

end0.0ms

sample9.4s

Algorithm

intervals

Results

6.8s	4724×	body	1280	valid
1.7s	1921×	body	640	valid
374.0ms	559×	body	320	valid
95.0ms	578×	body	80	valid
87.0ms	221×	body	160	valid

Details

sample312.0ms

simplify78.0ms

prune6.0ms

localize39.0ms

rewrite20.0ms

series151.0ms

simplify85.0ms

prune453.0ms

localize50.0ms

rewrite21.0ms

series147.0ms

simplify86.0ms

prune641.0ms

localize42.0ms

rewrite20.0ms

series146.0ms

simplify64.0ms

prune610.0ms

localize54.0ms

rewrite21.0ms

series149.0ms

simplify64.0ms

prune459.0ms

regimes1.6s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample9.4s

Profiling