Details

sample313.0ms

Algorithm

intervals

Results

229.0ms	162×	body	1280	valid
46.0ms	54×	body	640	valid
8.0ms	14×	body	320	valid
3.0ms	9×	body	160	valid
3.0ms	17×	body	80	valid

simplify83.0ms

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: 25.3b

Counts

2 → 1

localize32.0ms

Local error

Found 4 expressions with local error:

3.2b	(sin (/ (- lambda1 lambda2) 2.0))
3.2b	(sin (/ (- lambda1 lambda2) 2.0))
3.2b	(sin (/ (- lambda1 lambda2) 2.0))
3.2b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite24.0ms

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))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series141.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify64.0ms

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

prune414.0ms

Filtered

52 candidates to 48 candidates (92.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	41	11	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	11	53

Merged error: 24.8b

Counts

53 → 11

localize41.0ms

Local error

Found 4 expressions with local error:

3.2b	(sin (/ (- lambda1 lambda2) 2.0))
3.2b	(sin (/ (- lambda1 lambda2) 2.0))
3.2b	(sin (/ (- lambda1 lambda2) 2.0))
6.8b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `div-sub` `cube-prod` `sin-diff`
1×	`cube-mult` `pow1/3` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

4 → 53

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series141.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify90.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 4 (81.0ms)

Iter	Nodes	Cost
0	112	341
1	294	341
2	811	341
3	3181	341
4	5001	314

prune430.0ms

Filtered

65 candidates to 50 candidates (76.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	66	10	76

Merged error: 24.8b

Counts

76 → 10

localize42.0ms

Local error

Found 4 expressions with local error:

3.2b	(sin (/ (- lambda1 lambda2) 2.0))
3.2b	(sin (/ (- lambda1 lambda2) 2.0))
3.2b	(sin (/ (- lambda1 lambda2) 2.0))
3.2b	(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))

series144.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
33.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
34.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify63.0ms

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

prune421.0ms

Filtered

52 candidates to 48 candidates (92.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	52	10	62

Merged error: 24.8b

Counts

62 → 10

localize42.0ms

Local error

Found 4 expressions with local error:

3.2b	(sin (/ (- lambda1 lambda2) 2.0))
3.2b	(sin (/ (- lambda1 lambda2) 2.0))
3.2b	(sin (/ (- lambda1 lambda2) 2.0))
3.2b	(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))

series148.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(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

prune353.0ms

Filtered

52 candidates to 48 candidates (92.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	52	10	62

Merged error: 24.8b

Counts

62 → 10

regimes730.0ms

Accuracy

0% (0.5b remaining)

Error of 24.7b against oracle of 24.1b and baseline of 24.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	40
1	38	40

end0.0ms

sample9.3s

Algorithm

intervals

Results

6.7s	4782×	body	1280	valid
1.8s	1930×	body	640	valid
346.0ms	548×	body	320	valid
97.0ms	567×	body	80	valid
69.0ms	176×	body	160	valid

Details

sample313.0ms

simplify83.0ms

prune6.0ms

localize32.0ms

rewrite24.0ms

series141.0ms

simplify64.0ms

prune414.0ms

localize41.0ms

rewrite22.0ms

series141.0ms

simplify90.0ms

prune430.0ms

localize42.0ms

rewrite20.0ms

series144.0ms

simplify63.0ms

prune421.0ms

localize42.0ms

rewrite21.0ms

series148.0ms

simplify65.0ms

prune353.0ms

regimes730.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample9.3s

Profiling