Details

sample274.0ms

Algorithm

intervals

Results

182.0ms	150×	body	1280	valid
55.0ms	72×	body	640	valid
7.0ms	14×	body	320	valid
3.0ms	10×	body	160	valid
1.0ms	10×	body	80	valid

simplify82.0ms

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: 22.7b

Counts

2 → 1

localize43.0ms

Local error

Found 4 expressions with local error:

3.5b	(sin (/ (- lambda1 lambda2) 2.0))
3.5b	(sin (/ (- lambda1 lambda2) 2.0))
3.5b	(sin (/ (- lambda1 lambda2) 2.0))
3.5b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite29.0ms

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:

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))

series158.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
45.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify69.0ms

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

prune440.0ms

Filtered

52 candidates to 48 candidates (92.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	44	8	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	8	53

Merged error: 22.2b

Counts

53 → 8

localize41.0ms

Local error

Found 4 expressions with local error:

3.5b	(sin (/ (- lambda1 lambda2) 2.0))
3.5b	(sin (/ (- lambda1 lambda2) 2.0))
3.5b	(sin (/ (- lambda1 lambda2) 2.0))
6.3b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`*-un-lft-identity`
7×	`add-sqr-sqrt` `add-cube-cbrt`
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`
2×	`rem-cbrt-cube`
1×	`cube-mult` `pow-unpow` `pow1/3` `unpow3` `sqr-pow`

Counts

4 → 54

Calls

4 calls:

7.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- lambda1 lambda2) 2.0))
7.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series149.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify87.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 4 (80.0ms)

Iter	Nodes	Cost
0	112	343
1	294	343
2	783	343
3	3091	343
4	5002	316

prune531.0ms

Filtered

66 candidates to 52 candidates (78.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	62	4	66
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	64	10	74

Merged error: 22.2b

Counts

74 → 10

localize42.0ms

Local error

Found 4 expressions with local error:

3.5b	(sin (/ (- lambda1 lambda2) 2.0))
3.5b	(sin (/ (- lambda1 lambda2) 2.0))
3.5b	(sin (/ (- lambda1 lambda2) 2.0))
3.5b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite28.0ms

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:

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))

series157.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify67.0ms

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

prune506.0ms

Filtered

52 candidates to 48 candidates (92.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	52	10	62

Merged error: 22.2b

Counts

62 → 10

localize41.0ms

Local error

Found 4 expressions with local error:

3.5b	(sin (/ (- lambda1 lambda2) 2.0))
3.5b	(sin (/ (- lambda1 lambda2) 2.0))
6.3b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
6.3b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

7.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
8.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series149.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
37.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify86.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 4 (79.0ms)

Iter	Nodes	Cost
0	112	442
1	294	442
2	783	442
3	3091	442
4	5002	400

prune542.0ms

Filtered

80 candidates to 58 candidates (72.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	79	11	90

Merged error: 22.2b

Counts

90 → 11

regimes903.0ms

Accuracy

0% (0.6b remaining)

Error of 23.9b against oracle of 23.3b and baseline of 23.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	42
1	41	42

end0.0ms

sample8.1s

Algorithm

intervals

Results

5.7s	4764×	body	1280	valid
1.6s	1949×	body	640	valid
291.0ms	542×	body	320	valid
83.0ms	551×	body	80	valid
72.0ms	197×	body	160	valid