Details

sample591.0ms

Algorithm

intervals

Results

436.0ms	161×	body	1280	valid
88.0ms	61×	body	640	valid
12.0ms	12×	body	320	valid
5.0ms	17×	body	80	valid
3.0ms	5×	body	160	valid

simplify3.6s

Counts

1 → 1

Iterations

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

prune41.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 25.9b

localize141.0ms

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))

rewrite65.0ms

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:

14.0ms	(sin (/ (- lambda1 lambda2) 2))
22.0ms	(sin (/ (- lambda1 lambda2) 2))
14.0ms	(sin (/ (- phi1 phi2) 2))
15.0ms	(sin (/ (- phi1 phi2) 2))

series228.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(sin (/ (- lambda1 lambda2) 2))
61.0ms	(sin (/ (- lambda1 lambda2) 2))
54.0ms	(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

prune895.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 25.3b

localize127.0ms

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))

rewrite33.0ms

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))
11.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- phi1 phi2) 2))
7.0ms	(sin (/ (- phi1 phi2) 2))

series195.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(sin (/ (- lambda1 lambda2) 2))
62.0ms	(sin (/ (- lambda1 lambda2) 2))
34.0ms	(sin (/ (- phi1 phi2) 2))
47.0ms	(sin (/ (- phi1 phi2) 2))

simplify3.1s

Counts

48 → 48

Iterations

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

prune921.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 25.3b

localize156.0ms

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))

rewrite42.0ms

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))
7.0ms	(sin (/ (- lambda1 lambda2) 2))
14.0ms	(sin (/ (- phi1 phi2) 2))
12.0ms	(sin (/ (- phi1 phi2) 2))

series192.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sin (/ (- lambda1 lambda2) 2))
50.0ms	(sin (/ (- lambda1 lambda2) 2))
59.0ms	(sin (/ (- phi1 phi2) 2))
44.0ms	(sin (/ (- phi1 phi2) 2))

simplify3.5s

Counts

48 → 48

Iterations

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

prune1.2s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 25.0b

localize205.0ms

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))

rewrite46.0ms

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:

14.0ms	(sin (/ (- lambda1 lambda2) 2))
14.0ms	(sin (/ (- lambda1 lambda2) 2))
10.0ms	(sin (/ (- phi1 phi2) 2))
7.0ms	(sin (/ (- phi1 phi2) 2))

series184.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(sin (/ (- lambda1 lambda2) 2))
36.0ms	(sin (/ (- lambda1 lambda2) 2))
44.0ms	(sin (/ (- phi1 phi2) 2))
43.0ms	(sin (/ (- phi1 phi2) 2))

simplify3.1s

Counts

48 → 48

Iterations

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

prune1.0s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 24.8b

regimes6.2s

Accuracy

0% (0.9b remaining)

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

bsearch0.0ms

simplify23.0ms

Iterations

Iter	Nodes
done	57
1	57
0	44

end0.0ms

sample21.0s

Algorithm

intervals

Results

14.2s	4769×	body	1280	valid
4.8s	1893×	body	640	valid
1.1s	582×	body	320	valid
337.0ms	566×	body	80	valid
114.0ms	192×	body	160	valid
9.0ms	1×	body	640	nan
2.0ms	2×	body	320	nan
0.0ms	1×	body	80	nan