Details

sample283.0ms

Algorithm

intervals

Results

197.0ms	153×	body	1280	valid
46.0ms	62×	body	640	valid
9.0ms	18×	body	320	valid
2.0ms	17×	body	80	valid
2.0ms	6×	body	160	valid

simplify80.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	56	38
1	98	38
2	182	38
3	309	38
4	609	38
5	2160	38
6	5002	38

prune6.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 22.6b

Counts

2 → 1

localize36.0ms

Local error

Found 4 expressions with local error:

2.4b	(sin (/ (- lambda1 lambda2) 2.0))
2.4b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- phi1 phi2) 2.0))
3.9b	(sin (/ (- phi1 phi2) 2.0))

rewrite36.0ms

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:

7.0ms	(sin (/ (- lambda1 lambda2) 2.0))
7.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- phi1 phi2) 2.0))
13.0ms	(sin (/ (- phi1 phi2) 2.0))

series160.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
43.0ms	(sin (/ (- phi1 phi2) 2.0))
40.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify84.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	100	248
1	162	216
2	334	216
3	680	216
4	2124	216
5	5001	216

prune332.0ms

Filtered

44 candidates to 40 candidates (9.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	33	11	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	11	45

Merged error: 21.3b

Counts

45 → 11

localize57.0ms

Local error

Found 4 expressions with local error:

2.4b	(sin (/ (- lambda1 lambda2) 2.0))
2.4b	(sin (/ (- lambda1 lambda2) 2.0))
2.4b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- phi1 phi2) 2.0))

rewrite28.0ms

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:

7.0ms	(sin (/ (- lambda1 lambda2) 2.0))
7.0ms	(sin (/ (- lambda1 lambda2) 2.0))
7.0ms	(sin (/ (- lambda1 lambda2) 2.0))
7.0ms	(sin (/ (- phi1 phi2) 2.0))

series162.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
43.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify82.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	100	248
1	162	216
2	334	216
3	680	216
4	2124	216
5	5001	216

prune492.0ms

Filtered

44 candidates to 40 candidates (9.1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	35	9	44
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	39	16	55

Merged error: 11.5b

Counts

55 → 16

localize44.0ms

Local error

Found 4 expressions with local error:

2.4b	(sin (/ (- lambda1 lambda2) 2.0))
2.4b	(sin (/ (- lambda1 lambda2) 2.0))
2.4b	(sin (/ (- lambda1 lambda2) 2.0))
2.4b	(sin (/ (- lambda1 lambda2) 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:

7.0ms	(sin (/ (- lambda1 lambda2) 2.0))
7.0ms	(sin (/ (- lambda1 lambda2) 2.0))
7.0ms	(sin (/ (- lambda1 lambda2) 2.0))
7.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series159.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
41.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify201.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	53	248
1	85	216
2	177	216
3	367	216
4	1245	216
5	4980	216
6	5001	216

prune480.0ms

Filtered

44 candidates to 40 candidates (9.1%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	34	10	44
Fresh	6	9	15
Picked	1	0	1
Done	0	0	0
Total	41	19	60

Merged error: 11.4b

Counts

60 → 19

localize57.0ms

Local error

Found 4 expressions with local error:

2.4b	(sin (/ (- lambda1 lambda2) 2.0))
2.4b	(sin (/ (- lambda1 lambda2) 2.0))
2.4b	(sin (/ (- lambda1 lambda2) 2.0))
4.5b	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`div-sub` `log-pow` `sin-diff` `add-cbrt-cube` `add-log-exp`
3×	`log-prod` `exp-prod`
2×	`rem-log-exp`
1×	`log-div` `exp-diff`

Counts

4 → 41

Calls

4 calls:

6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
7.0ms	(sin (/ (- lambda1 lambda2) 2.0))
7.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

series161.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
43.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

simplify68.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	90	298
1	146	260
2	281	260
3	572	260
4	1951	260
5	5001	260

prune402.0ms

Filtered

53 candidates to 46 candidates (13.2%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	45	8	53
Fresh	7	11	18
Picked	1	0	1
Done	0	0	0
Total	53	19	72

Merged error: 11.4b

Counts

72 → 19

regimes1.5s

Accuracy

0% (0.4b remaining)

Error of 13.6b against oracle of 13.2b and baseline of 13.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	64
1	48	64

end0.0ms

sample8.3s

Algorithm

intervals

Results

6.0s	4767×	body	1280	valid
1.5s	1958×	body	640	valid
287.0ms	558×	body	320	valid
74.0ms	521×	body	80	valid
69.0ms	199×	body	160	valid