Details

sample273.0ms

Algorithm

intervals

Results

193.0ms	151×	body	1280	valid
43.0ms	57×	body	640	valid
7.0ms	14×	body	320	valid
4.0ms	30×	body	80	valid
1.0ms	4×	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 (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: 24.5b

Counts

2 → 1

localize34.0ms

Local error

Found 4 expressions with local error:

3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- phi1 phi2) 2.0))
4.6b	(sin (/ (- phi1 phi2) 2.0))

rewrite32.0ms

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 (/ (- phi1 phi2) 2.0))
11.0ms	(sin (/ (- phi1 phi2) 2.0))

series160.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
41.0ms	(sin (/ (- phi1 phi2) 2.0))
39.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify86.0ms

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

prune354.0ms

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: 23.0b

Counts

45 → 14

localize54.0ms

Local error

Found 4 expressions with local error:

3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- phi1 phi2) 2.0))

rewrite30.0ms

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

series171.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
44.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
47.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify86.0ms

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

prune526.0ms

Filtered

44 candidates to 40 candidates (90.9%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	30	14	44
Fresh	9	4	13
Picked	1	0	1
Done	0	0	0
Total	40	18	58

Merged error: 14.0b

Counts

58 → 18

localize46.0ms

Local error

Found 4 expressions with local error:

3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(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:

6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series163.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
44.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify193.0ms

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 (90.9%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	35	9	44
Fresh	8	9	17
Picked	1	0	1
Done	0	0	0
Total	44	18	62

Merged error: 14.0b

Counts

62 → 18

localize49.0ms

Local error

Found 4 expressions with local error:

3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))
6.5b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
7×	`*-un-lft-identity`
6×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `div-sub` `sin-diff`
2×	`rem-cbrt-cube`
1×	`pow-unpow` `pow1/3` `unpow3` `sqr-pow`

Counts

4 → 42

Calls

4 calls:

7.0ms	(sin (/ (- lambda1 lambda2) 2.0))
7.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

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 (/ (- lambda1 lambda2) 2.0))
42.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify76.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 4 (71.0ms)

Iter	Nodes	Cost
0	100	283
1	238	274
2	647	274
3	2397	274
4	5001	253

prune395.0ms

Filtered

54 candidates to 44 candidates (81.5%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	44	10	54
Fresh	7	10	17
Picked	1	0	1
Done	0	0	0
Total	52	20	72

Merged error: 14.0b

Counts

72 → 20

regimes2.0s

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	50	54
1	50	54

end0.0ms

sample8.3s

Algorithm

intervals

Results

5.9s	4686×	body	1280	valid
1.5s	1963×	body	640	valid
300.0ms	558×	body	320	valid
90.0ms	593×	body	80	valid
78.0ms	202×	body	160	valid