Details

sample277.0ms

Algorithm

intervals

Results

198.0ms	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

simplify78.0ms

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	2491	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

localize41.0ms

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))

rewrite17.0ms

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))

series142.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify59.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	44	84
1	79	84
2	178	84
3	423	84
4	1428	84
5	5002	84

prune135.0ms

Filtered

16 candidates to 12 candidates (75.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	11	5	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	6	17

Merged error: 22.7b

Counts

17 → 6

localize51.0ms

Local error

Found 4 expressions with local error:

2.2b	(sin (/ (- phi1 phi2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

4×	`div-sub` `sin-diff`

Counts

4 → 4

Calls

4 calls:

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

series145.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sin (/ (- phi1 phi2) 2.0))
39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify78.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	82	84
1	150	84
2	336	84
3	792	84
4	2490	84
5	5002	84

prune168.0ms

Filtered

16 candidates to 12 candidates (75.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	13	3	16
Fresh	2	2	4
Picked	1	0	1
Done	1	0	1
Total	17	5	22

Merged error: 22.2b

Counts

22 → 5

localize51.0ms

Local error

Found 4 expressions with local error:

2.2b	(sin (/ (- phi1 phi2) 2.0))
2.2b	(sin (/ (- phi1 phi2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

4×	`div-sub` `sin-diff`

Counts

4 → 4

Calls

4 calls:

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

series144.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sin (/ (- phi1 phi2) 2.0))
38.0ms	(sin (/ (- phi1 phi2) 2.0))
34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify78.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	82	84
1	150	84
2	336	84
3	792	84
4	2490	84
5	5002	84

prune191.0ms

Filtered

16 candidates to 12 candidates (75.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	12	4	16
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	13	8	21

Merged error: 21.8b

Counts

21 → 8

localize73.0ms

Local error

Found 4 expressions with local error:

0.6b	(- 1.0 (+ (pow (sin (/ (- phi1 phi2) 2.0)) 2.0) (* (* (* (cos phi1) (cos phi2)) (- (* (sin (/ lambda1 2.0)) (cos (/ lambda2 2.0))) (* (cos (/ lambda1 2.0)) (sin (/ lambda2 2.0))))) (- (* (sin (/ lambda1 2.0)) (cos (/ lambda2 2.0))) (* (cos (/ lambda1 2.0)) (sin (/ lambda2 2.0)))))))
2.2b	(sin (/ (- phi1 phi2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

14×	`associate--r+`
12×	`associate-+r+`
8×	`prod-diff` `*-commutative`
6×	`distribute-rgt-in` `distribute-lft-in`
3×	`sub-neg` `div-sub` `sin-diff`
1×	`+-commutative` `flip3--` `flip--`

Counts

4 → 21

Calls

4 calls:

9.0ms	(- 1.0 (+ (pow (sin (/ (- phi1 phi2) 2.0)) 2.0) (* (* (* (cos phi1) (cos phi2)) (- (* (sin (/ lambda1 2.0)) (cos (/ lambda2 2.0))) (* (cos (/ lambda1 2.0)) (sin (/ lambda2 2.0))))) (- (* (sin (/ lambda1 2.0)) (cos (/ lambda2 2.0))) (* (cos (/ lambda1 2.0)) (sin (/ lambda2 2.0)))))))
4.0ms	(sin (/ (- phi1 phi2) 2.0))
4.0ms	(sin (/ (- lambda1 lambda2) 2.0))
4.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series836.0ms

Counts

4 → 12

Calls

4 calls:

728.0ms	(- 1.0 (+ (pow (sin (/ (- phi1 phi2) 2.0)) 2.0) (* (* (* (cos phi1) (cos phi2)) (- (* (sin (/ lambda1 2.0)) (cos (/ lambda2 2.0))) (* (cos (/ lambda1 2.0)) (sin (/ lambda2 2.0))))) (- (* (sin (/ lambda1 2.0)) (cos (/ lambda2 2.0))) (* (cos (/ lambda1 2.0)) (sin (/ lambda2 2.0)))))))
34.0ms	(sin (/ (- phi1 phi2) 2.0))
39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
34.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify160.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	391	831
1	1095	821
2	4674	819
3	5001	819

prune292.0ms

Filtered

33 candidates to 22 candidates (66.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	27	6	33
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	30	11	41

Merged error: 14.1b

Counts

41 → 11

regimes1.1s

Accuracy

0% (0.3b remaining)

Error of 13.1b against oracle of 12.8b and baseline of 13.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	70
1	57	70

end0.0ms

sample8.0s

Algorithm

intervals

Results

5.8s	4811×	body	1280	valid
1.5s	1919×	body	640	valid
287.0ms	524×	body	320	valid
98.0ms	573×	body	80	valid
59.0ms	173×	body	160	valid