Details

sample274.0ms

Algorithm

intervals

Results

199.0ms	165×	body	1280	valid
39.0ms	54×	body	640	valid
8.0ms	15×	body	320	valid
2.0ms	7×	body	160	valid
2.0ms	15×	body	80	valid

simplify75.0ms

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	2169	38
6	5001	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: 23.4b

Counts

2 → 1

localize39.0ms

Local error

Found 4 expressions with local error:

2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite20.0ms

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:

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))

series152.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify194.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	54	248
1	89	216
2	188	216
3	373	216
4	1242	216
5	4970	216
6	5002	216

prune382.0ms

Filtered

44 candidates to 40 candidates (90.9%)

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: 22.7b

Counts

45 → 11

localize40.0ms

Local error

Found 4 expressions with local error:

2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
5.8b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `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 → 45

Calls

4 calls:

7.0ms	(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))

series150.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify85.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 4 (79.0ms)

Iter	Nodes	Cost
0	106	313
1	282	309
2	784	309
3	3070	309
4	5002	282

prune458.0ms

Filtered

57 candidates to 43 candidates (75.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	50	7	57
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	54	14	68

Merged error: 22.7b

Counts

68 → 14

localize48.0ms

Local error

Found 4 expressions with local error:

2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
5.8b	(cbrt (pow (* (pow (cbrt (sin (/ (- lambda1 lambda2) 2.0))) 2) (cbrt (sin (/ (- lambda1 lambda2) 2.0)))) 3))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 41

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
3.0ms	(cbrt (pow (* (pow (cbrt (sin (/ (- lambda1 lambda2) 2.0))) 2) (cbrt (sin (/ (- lambda1 lambda2) 2.0)))) 3))

series155.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(cbrt (pow (* (pow (cbrt (sin (/ (- lambda1 lambda2) 2.0))) 2) (cbrt (sin (/ (- lambda1 lambda2) 2.0)))) 3))

simplify116.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 4 (110.0ms)

Iter	Nodes	Cost
0	106	323
1	285	291
2	815	291
3	4079	291
4	5002	290

prune551.0ms

Filtered

53 candidates to 43 candidates (81.1%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	46	7	53
Fresh	2	11	13
Picked	1	0	1
Done	0	0	0
Total	49	18	67

Merged error: 22.7b

Counts

67 → 18

localize65.0ms

Local error

Found 4 expressions with local error:

2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
5.8b	(cbrt (pow (* (pow (cbrt (- (* (sin (/ lambda1 2.0)) (cos (/ lambda2 2.0))) (* (cos (/ lambda1 2.0)) (sin (/ lambda2 2.0))))) 2) (cbrt (sin (/ (- lambda1 lambda2) 2.0)))) 3))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 41

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 (* (pow (cbrt (- (* (sin (/ lambda1 2.0)) (cos (/ lambda2 2.0))) (* (cos (/ lambda1 2.0)) (sin (/ lambda2 2.0))))) 2) (cbrt (sin (/ (- lambda1 lambda2) 2.0)))) 3))

series590.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
41.0ms	(sin (/ (- lambda1 lambda2) 2.0))
471.0ms	(cbrt (pow (* (pow (cbrt (- (* (sin (/ lambda1 2.0)) (cos (/ lambda2 2.0))) (* (cos (/ lambda1 2.0)) (sin (/ lambda2 2.0))))) 2) (cbrt (sin (/ (- lambda1 lambda2) 2.0)))) 3))

simplify66.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	179	720
1	540	683
2	1866	683
3	5001	674

prune598.0ms

Filtered

53 candidates to 46 candidates (86.8%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	43	10	53
Fresh	12	5	17
Picked	1	0	1
Done	0	0	0
Total	56	15	71

Merged error: 22.6b

Counts

71 → 15

regimes1.5s

Accuracy

0% (0.6b remaining)

Error of 23.7b against oracle of 23.1b and baseline of 23.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	54
1	55	54

end0.0ms

sample8.0s

Algorithm

intervals

Results

5.8s	4811×	body	1280	valid
1.5s	1919×	body	640	valid
265.0ms	524×	body	320	valid
89.0ms	573×	body	80	valid
64.0ms	173×	body	160	valid