Details

sample826.0ms

Algorithm

intervals

Results

589.0ms	148×	body	1280	valid
149.0ms	63×	body	640	valid
30.0ms	16×	body	320	valid
12.0ms	11×	body	160	valid
8.0ms	18×	body	80	valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	2005
7	2005
6	829
5	453
4	319
3	192
2	102
1	58
0	26

prune54.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 23.8b

localize154.0ms

Local error

Found 4 expressions with local error:

3.5b	(sin (/ (- phi1 phi2) 2))
3.5b	(sin (/ (- phi1 phi2) 2))
3.6b	(cos (/ (- phi1 phi2) 2))
3.6b	(cos (/ (- 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` `add-cube-cbrt` `insert-posit16` `add-log-exp`
2×	`cos-diff` `sin-diff`

Counts

4 → 36

Calls

4 calls:

6.0ms	(sin (/ (- phi1 phi2) 2))
7.0ms	(sin (/ (- phi1 phi2) 2))
7.0ms	(cos (/ (- phi1 phi2) 2))
17.0ms	(cos (/ (- phi1 phi2) 2))

series138.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- phi1 phi2) 2))
40.0ms	(sin (/ (- phi1 phi2) 2))
35.0ms	(cos (/ (- phi1 phi2) 2))
28.0ms	(cos (/ (- phi1 phi2) 2))

simplify1.3s

Counts

48 → 48

Iterations

Iter	Nodes
done	2000
5	2000
4	778
3	343
2	171
1	94
0	54

prune1.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 23.6b

localize152.0ms

Local error

Found 4 expressions with local error:

3.6b	(cos (/ (- phi1 phi2) 2))
3.6b	(cos (/ (- phi1 phi2) 2))
3.6b	(cos (/ (- phi1 phi2) 2))
3.6b	(cos (/ (- phi1 phi2) 2))

rewrite365.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 36

Calls

4 calls:

345.0ms	(cos (/ (- phi1 phi2) 2))
6.0ms	(cos (/ (- phi1 phi2) 2))
6.0ms	(cos (/ (- phi1 phi2) 2))
7.0ms	(cos (/ (- phi1 phi2) 2))

series112.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(cos (/ (- phi1 phi2) 2))
26.0ms	(cos (/ (- phi1 phi2) 2))
28.0ms	(cos (/ (- phi1 phi2) 2))
25.0ms	(cos (/ (- phi1 phi2) 2))

simplify1.1s

Counts

48 → 48

Iterations

Iter	Nodes
done	2002
6	2002
5	820
4	307
3	175
2	99
1	57
0	34

prune1.5s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 23.5b

localize181.0ms

Local error

Found 4 expressions with local error:

3.6b	(cos (/ (- phi1 phi2) 2))
3.6b	(cos (/ (- phi1 phi2) 2))
3.6b	(cos (/ (- phi1 phi2) 2))
3.6b	(cos (/ (- phi1 phi2) 2))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 36

Calls

4 calls:

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

series134.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(cos (/ (- phi1 phi2) 2))
32.0ms	(cos (/ (- phi1 phi2) 2))
32.0ms	(cos (/ (- phi1 phi2) 2))
42.0ms	(cos (/ (- phi1 phi2) 2))

simplify964.0ms

Counts

48 → 48

Iterations

Iter	Nodes
done	2002
6	2002
5	820
4	307
3	175
2	99
1	57
0	34

prune2.0s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 23.5b

localize162.0ms

Local error

Found 4 expressions with local error:

3.6b	(cos (/ (- phi1 phi2) 2))
3.6b	(cos (/ (- phi1 phi2) 2))
3.6b	(cos (/ (- phi1 phi2) 2))
3.6b	(cos (/ (- phi1 phi2) 2))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 36

Calls

4 calls:

17.0ms	(cos (/ (- phi1 phi2) 2))
6.0ms	(cos (/ (- phi1 phi2) 2))
6.0ms	(cos (/ (- phi1 phi2) 2))
7.0ms	(cos (/ (- phi1 phi2) 2))

series144.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(cos (/ (- phi1 phi2) 2))
38.0ms	(cos (/ (- phi1 phi2) 2))
38.0ms	(cos (/ (- phi1 phi2) 2))
24.0ms	(cos (/ (- phi1 phi2) 2))

simplify927.0ms

Counts

48 → 48

Iterations

Iter	Nodes
done	2002
6	2002
5	820
4	307
3	175
2	99
1	57
0	34

prune1.6s

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 23.5b

regimes2.5s

Accuracy

0% (0.5b remaining)

Error of 24.5b against oracle of 24.0b and baseline of 24.5b

bsearch0.0ms

simplify21.0ms

Iterations

Iter	Nodes
done	42
1	42
0	33

end0.0ms

sample26.8s

Algorithm

intervals

Results

19.1s	4704×	body	1280	valid
5.2s	1946×	body	640	valid
1.5s	577×	body	320	valid
255.0ms	583×	body	80	valid
253.0ms	195×	body	160	valid
3.0ms	1×	body	640	nan
2.0ms	1×	body	320	nan