Details

sample865.0ms

Algorithm

intervals

Results

552.0ms	161×	body	1280	valid
216.0ms	61×	body	640	valid
37.0ms	12×	body	320	valid
7.0ms	17×	body	80	valid
5.0ms	5×	body	160	valid

simplify3.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	2160
6	829
5	453
4	319
3	192
2	102
1	58
0	26

prune50.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 25.9b

localize115.0ms

Local error

Found 4 expressions with local error:

2.6b	(sin (/ (- lambda1 lambda2) 2))
2.6b	(sin (/ (- lambda1 lambda2) 2))
2.7b	(sin (/ (- phi1 phi2) 2))
2.7b	(sin (/ (- phi1 phi2) 2))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `div-sub` `add-exp-log` `sin-diff` `add-cube-cbrt` `insert-posit16` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

13.0ms	(sin (/ (- lambda1 lambda2) 2))
13.0ms	(sin (/ (- lambda1 lambda2) 2))
14.0ms	(sin (/ (- phi1 phi2) 2))
13.0ms	(sin (/ (- phi1 phi2) 2))

series158.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(sin (/ (- lambda1 lambda2) 2))
35.0ms	(sin (/ (- lambda1 lambda2) 2))
41.0ms	(sin (/ (- phi1 phi2) 2))
41.0ms	(sin (/ (- phi1 phi2) 2))

simplify3.2s

Counts

48 → 48

Iterations

Iter	Nodes
done	5001
6	3206
5	1108
4	554
3	315
2	175
1	104
0	62

prune888.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 25.3b

localize182.0ms

Local error

Found 4 expressions with local error:

2.6b	(sin (/ (- lambda1 lambda2) 2))
2.6b	(sin (/ (- lambda1 lambda2) 2))
2.7b	(sin (/ (- phi1 phi2) 2))
2.7b	(sin (/ (- phi1 phi2) 2))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `div-sub` `add-exp-log` `sin-diff` `add-cube-cbrt` `insert-posit16` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

13.0ms	(sin (/ (- lambda1 lambda2) 2))
13.0ms	(sin (/ (- lambda1 lambda2) 2))
13.0ms	(sin (/ (- phi1 phi2) 2))
9.0ms	(sin (/ (- phi1 phi2) 2))

series190.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sin (/ (- lambda1 lambda2) 2))
47.0ms	(sin (/ (- lambda1 lambda2) 2))
48.0ms	(sin (/ (- phi1 phi2) 2))
57.0ms	(sin (/ (- phi1 phi2) 2))

simplify3.3s

Counts

48 → 48

Iterations

Iter	Nodes
done	5001
6	3206
5	1108
4	554
3	315
2	175
1	104
0	62

prune944.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 25.3b

localize201.0ms

Local error

Found 4 expressions with local error:

2.6b	(sin (/ (- lambda1 lambda2) 2))
2.6b	(sin (/ (- lambda1 lambda2) 2))
2.7b	(sin (/ (- phi1 phi2) 2))
2.7b	(sin (/ (- phi1 phi2) 2))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `div-sub` `add-exp-log` `sin-diff` `add-cube-cbrt` `insert-posit16` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

7.0ms	(sin (/ (- lambda1 lambda2) 2))
6.0ms	(sin (/ (- lambda1 lambda2) 2))
6.0ms	(sin (/ (- phi1 phi2) 2))
7.0ms	(sin (/ (- phi1 phi2) 2))

series213.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(sin (/ (- lambda1 lambda2) 2))
55.0ms	(sin (/ (- lambda1 lambda2) 2))
50.0ms	(sin (/ (- phi1 phi2) 2))
46.0ms	(sin (/ (- phi1 phi2) 2))

simplify3.2s

Counts

48 → 48

Iterations

Iter	Nodes
done	5001
6	3206
5	1108
4	554
3	315
2	175
1	104
0	62

prune1.3s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 25.0b

localize164.0ms

Local error

Found 4 expressions with local error:

2.6b	(sin (/ (- lambda1 lambda2) 2))
2.6b	(sin (/ (- lambda1 lambda2) 2))
2.7b	(sin (/ (- phi1 phi2) 2))
2.7b	(sin (/ (- phi1 phi2) 2))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `div-sub` `add-exp-log` `sin-diff` `add-cube-cbrt` `insert-posit16` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

10.0ms	(sin (/ (- lambda1 lambda2) 2))
13.0ms	(sin (/ (- lambda1 lambda2) 2))
13.0ms	(sin (/ (- phi1 phi2) 2))
7.0ms	(sin (/ (- phi1 phi2) 2))

series158.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(sin (/ (- lambda1 lambda2) 2))
34.0ms	(sin (/ (- lambda1 lambda2) 2))
39.0ms	(sin (/ (- phi1 phi2) 2))
41.0ms	(sin (/ (- phi1 phi2) 2))

simplify3.0s

Counts

48 → 48

Iterations

Iter	Nodes
done	5001
6	3206
5	1108
4	554
3	315
2	175
1	104
0	62

prune907.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 24.8b

regimes7.2s

Accuracy

0% (0.9b remaining)

Error of 24.3b against oracle of 23.4b and baseline of 24.3b

bsearch0.0ms

simplify15.0ms

Iterations

Iter	Nodes
done	57
1	57
0	44

end0.0ms

sample27.6s

Algorithm

intervals

Results

19.8s	4769×	body	1280	valid
5.8s	1893×	body	640	valid
912.0ms	582×	body	320	valid
340.0ms	566×	body	80	valid
227.0ms	192×	body	160	valid
3.0ms	2×	body	320	nan
2.0ms	1×	body	640	nan
1.0ms	1×	body	80	nan