Details

sample276.0ms

Algorithm

intervals

Results

195.0ms	160×	body	1280	valid
47.0ms	65×	body	640	valid
6.0ms	13×	body	320	valid
2.0ms	14×	body	80	valid
1.0ms	4×	body	160	valid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 21.7b

Counts

2 → 1

localize39.0ms

Local error

Found 4 expressions with local error:

2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.7b	(sin (/ (- phi1 phi2) 2.0))
2.7b	(sin (/ (- phi1 phi2) 2.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

4×	`div-sub` `sin-diff`

Counts

4 → 4

Calls

4 calls:

4.0ms	(sin (/ (- lambda1 lambda2) 2.0))
4.0ms	(sin (/ (- lambda1 lambda2) 2.0))
4.0ms	(sin (/ (- phi1 phi2) 2.0))
4.0ms	(sin (/ (- phi1 phi2) 2.0))

series346.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
236.0ms	(sin (/ (- phi1 phi2) 2.0))
36.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify78.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	78	88
1	134	84
2	296	84
3	634	84
4	2058	84
5	5002	84

prune141.0ms

Filtered

16 candidates to 12 candidates (75.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	11	5	16
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	12	5	17

Merged error: 20.8b

Counts

17 → 5

localize48.0ms

Local error

Found 4 expressions with local error:

2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.7b	(sin (/ (- phi1 phi2) 2.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

4×	`div-sub` `sin-diff`

Counts

4 → 4

Calls

4 calls:

4.0ms	(sin (/ (- lambda1 lambda2) 2.0))
4.0ms	(sin (/ (- lambda1 lambda2) 2.0))
4.0ms	(sin (/ (- lambda1 lambda2) 2.0))
4.0ms	(sin (/ (- phi1 phi2) 2.0))

series151.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify76.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	78	88
1	134	84
2	296	84
3	634	84
4	2058	84
5	5002	84

prune176.0ms

Filtered

16 candidates to 12 candidates (75.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	12	4	16
Fresh	3	1	4
Picked	1	0	1
Done	0	0	0
Total	16	5	21

Merged error: 13.0b

Counts

21 → 5

localize42.0ms

Local error

Found 4 expressions with local error:

2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

4×	`div-sub` `sin-diff`

Counts

4 → 4

Calls

4 calls:

4.0ms	(sin (/ (- lambda1 lambda2) 2.0))
4.0ms	(sin (/ (- lambda1 lambda2) 2.0))
4.0ms	(sin (/ (- lambda1 lambda2) 2.0))
4.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series153.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify186.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	42	88
1	71	84
2	158	84
3	344	84
4	1212	84
5	4926	84
6	5003	84

prune166.0ms

Filtered

16 candidates to 12 candidates (75.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	13	3	16
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	16	5	21

Merged error: 12.9b

Counts

21 → 5

localize58.0ms

Local error

Found 4 expressions with local error:

0.7b	(sqrt (+ (pow (- (* (sin (/ phi1 2.0)) (cos (/ phi2 2.0))) (* (cos (/ phi1 2.0)) (sin (/ phi2 2.0)))) 2.0) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0)))))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))
2.5b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

3×	`div-sub` `sin-diff`
2×	`sqrt-div`
1×	`flip3-+` `pow1/2` `flip-+`

Counts

4 → 6

Calls

4 calls:

10.0ms	(sqrt (+ (pow (- (* (sin (/ phi1 2.0)) (cos (/ phi2 2.0))) (* (cos (/ phi1 2.0)) (sin (/ phi2 2.0)))) 2.0) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0)))))
4.0ms	(sin (/ (- lambda1 lambda2) 2.0))
4.0ms	(sin (/ (- lambda1 lambda2) 2.0))
4.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series1.1s

Counts

4 → 12

Calls

4 calls:

941.0ms	(sqrt (+ (pow (- (* (sin (/ phi1 2.0)) (cos (/ phi2 2.0))) (* (cos (/ phi1 2.0)) (sin (/ phi2 2.0)))) 2.0) (* (* (* (cos phi1) (cos phi2)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0)))))
41.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify89.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	186	318
1	564	318
2	2411	318
3	5001	318

prune183.0ms

Filtered

18 candidates to 14 candidates (77.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	12	6	18
Fresh	0	3	3
Picked	1	0	1
Done	1	0	1
Total	14	9	23

Merged error: 12.5b

Counts

23 → 9

regimes664.0ms

Accuracy

0% (0.2b remaining)

Error of 13.2b against oracle of 12.9b and baseline of 13.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	70
1	57	70

end0.0ms

sample7.9s

Algorithm

intervals

Results

5.8s	4852×	body	1280	valid
1.4s	1840×	body	640	valid
284.0ms	557×	body	320	valid
80.0ms	530×	body	80	valid
74.0ms	223×	body	160	valid