Details

sample759.0ms

Algorithm

intervals

Results

468.0ms	143×	body	1280	valid
218.0ms	73×	body	640	valid
18.0ms	12×	body	320	valid
8.0ms	22×	body	80	valid
5.0ms	6×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
7	2745
6	876
5	433
4	291
3	175
2	100
1	56
0	26

prune54.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 24.3b

localize109.0ms

Local error

Found 4 expressions with local error:

3.8b	(cos (/ (- phi1 phi2) 2))
3.8b	(cos (/ (- phi1 phi2) 2))
3.8b	(sin (/ (- phi1 phi2) 2))
3.8b	(sin (/ (- phi1 phi2) 2))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 36

Calls

4 calls:

19.0ms	(cos (/ (- phi1 phi2) 2))
13.0ms	(cos (/ (- phi1 phi2) 2))
13.0ms	(sin (/ (- phi1 phi2) 2))
14.0ms	(sin (/ (- phi1 phi2) 2))

series191.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(cos (/ (- phi1 phi2) 2))
44.0ms	(cos (/ (- phi1 phi2) 2))
52.0ms	(sin (/ (- phi1 phi2) 2))
53.0ms	(sin (/ (- phi1 phi2) 2))

simplify1.4s

Counts

48 → 48

Iterations

Iter	Nodes
6	2247
5	934
4	499
3	286
2	162
1	92
0	54

prune1.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 23.8b

localize152.0ms

Local error

Found 4 expressions with local error:

3.8b	(cos (/ (- phi1 phi2) 2))
3.8b	(cos (/ (- phi1 phi2) 2))
3.8b	(sin (/ (- phi1 phi2) 2))
3.8b	(sin (/ (- phi1 phi2) 2))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 36

Calls

4 calls:

7.0ms	(cos (/ (- phi1 phi2) 2))
7.0ms	(cos (/ (- phi1 phi2) 2))
7.0ms	(sin (/ (- phi1 phi2) 2))
7.0ms	(sin (/ (- phi1 phi2) 2))

series128.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(cos (/ (- phi1 phi2) 2))
25.0ms	(cos (/ (- phi1 phi2) 2))
36.0ms	(sin (/ (- phi1 phi2) 2))
35.0ms	(sin (/ (- phi1 phi2) 2))

simplify1.4s

Counts

48 → 48

Iterations

Iter	Nodes
6	2247
5	934
4	499
3	286
2	162
1	92
0	54

prune1.6s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 23.8b

localize92.0ms

Local error

Found 4 expressions with local error:

3.6b	(sin (/ (- lambda1 lambda2) 2))
3.6b	(sin (/ (- lambda1 lambda2) 2))
3.8b	(sin (/ (- phi1 phi2) 2))
3.8b	(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:

11.0ms	(sin (/ (- lambda1 lambda2) 2))
14.0ms	(sin (/ (- lambda1 lambda2) 2))
10.0ms	(sin (/ (- phi1 phi2) 2))
7.0ms	(sin (/ (- phi1 phi2) 2))

series144.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(sin (/ (- lambda1 lambda2) 2))
31.0ms	(sin (/ (- lambda1 lambda2) 2))
34.0ms	(sin (/ (- phi1 phi2) 2))
31.0ms	(sin (/ (- phi1 phi2) 2))

simplify2.3s

Counts

48 → 48

Iterations

Iter	Nodes
6	3942
5	1316
4	615
3	331
2	175
1	104
0	62

prune1.7s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 23.1b

localize139.0ms

Local error

Found 4 expressions with local error:

3.6b	(sin (/ (- lambda1 lambda2) 2))
3.6b	(sin (/ (- lambda1 lambda2) 2))
3.6b	(sin (/ (- lambda1 lambda2) 2))
3.8b	(sin (/ (- phi1 phi2) 2))

rewrite37.0ms

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))
8.0ms	(sin (/ (- lambda1 lambda2) 2))
13.0ms	(sin (/ (- phi1 phi2) 2))

series159.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(sin (/ (- lambda1 lambda2) 2))
34.0ms	(sin (/ (- lambda1 lambda2) 2))
37.0ms	(sin (/ (- lambda1 lambda2) 2))
36.0ms	(sin (/ (- phi1 phi2) 2))

simplify2.5s

Counts

48 → 48

Iterations

Iter	Nodes
6	3942
5	1316
4	615
3	331
2	175
1	104
0	62

prune1.7s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 13.8b

regimes3.4s

Accuracy

0% (0.4b remaining)

Error of 14.0b against oracle of 13.6b and baseline of 14.0b

bsearch0.0ms

simplify16.0ms

Iterations

Iter	Nodes
2	40
1	40
0	32

end0.0ms

sample27.1s

Algorithm

intervals

Results

20.4s	4753×	body	1280	valid
4.8s	1934×	body	640	valid
842.0ms	556×	body	320	valid
318.0ms	587×	body	80	valid
221.0ms	172×	body	160	valid