Details

sample720.0ms

Algorithm

intervals

Results

530.0ms	148×	body	1280	valid
116.0ms	63×	body	640	valid
22.0ms	16×	body	320	valid
9.0ms	11×	body	160	valid
7.0ms	18×	body	80	valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
7	3351
6	1061
5	561
4	344
3	180
2	105
1	56
0	26

prune43.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 23.8b

localize106.0ms

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))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `div-sub` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cos-diff` `sin-diff`

Counts

4 → 44

Calls

4 calls:

6.0ms	(sin (/ (- phi1 phi2) 2))
6.0ms	(sin (/ (- phi1 phi2) 2))
13.0ms	(cos (/ (- phi1 phi2) 2))
7.0ms	(cos (/ (- phi1 phi2) 2))

series150.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(sin (/ (- phi1 phi2) 2))
43.0ms	(sin (/ (- phi1 phi2) 2))
37.0ms	(cos (/ (- phi1 phi2) 2))
39.0ms	(cos (/ (- phi1 phi2) 2))

simplify3.7s

Counts

56 → 56

Iterations

Iter	Nodes
6	3944
5	1656
4	694
3	327
2	180
1	99
0	58

prune954.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 23.6b

localize131.0ms

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))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `div-sub` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cos-diff` `sin-diff`

Counts

4 → 44

Calls

4 calls:

11.0ms	(sin (/ (- phi1 phi2) 2))
7.0ms	(sin (/ (- phi1 phi2) 2))
7.0ms	(cos (/ (- phi1 phi2) 2))
14.0ms	(cos (/ (- phi1 phi2) 2))

series133.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(sin (/ (- phi1 phi2) 2))
32.0ms	(sin (/ (- phi1 phi2) 2))
28.0ms	(cos (/ (- phi1 phi2) 2))
25.0ms	(cos (/ (- phi1 phi2) 2))

simplify3.3s

Counts

56 → 56

Iterations

Iter	Nodes
6	3944
5	1656
4	694
3	327
2	180
1	99
0	58

prune961.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 23.6b

localize142.0ms

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))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `div-sub` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cos-diff` `sin-diff`

Counts

4 → 44

Calls

4 calls:

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

series161.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(sin (/ (- phi1 phi2) 2))
49.0ms	(sin (/ (- phi1 phi2) 2))
42.0ms	(cos (/ (- phi1 phi2) 2))
38.0ms	(cos (/ (- phi1 phi2) 2))

simplify3.5s

Counts

56 → 56

Iterations

Iter	Nodes
6	3944
5	1656
4	694
3	327
2	180
1	99
0	58

prune1.1s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 23.6b

localize155.0ms

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))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `div-sub` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cos-diff` `sin-diff`

Counts

4 → 44

Calls

4 calls:

7.0ms	(sin (/ (- phi1 phi2) 2))
7.0ms	(sin (/ (- phi1 phi2) 2))
11.0ms	(cos (/ (- phi1 phi2) 2))
7.0ms	(cos (/ (- phi1 phi2) 2))

series147.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(sin (/ (- phi1 phi2) 2))
37.0ms	(sin (/ (- phi1 phi2) 2))
38.0ms	(cos (/ (- phi1 phi2) 2))
29.0ms	(cos (/ (- phi1 phi2) 2))

simplify3.6s

Counts

56 → 56

Iterations

Iter	Nodes
6	3944
5	1656
4	694
3	327
2	180
1	99
0	58

prune924.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 23.6b

regimes3.1s

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify12.0ms

Iterations

Iter	Nodes
2	34
1	34
0	29

end0.0ms

sample26.4s

Algorithm

intervals

Results

19.3s	4704×	body	1280	valid
5.0s	1946×	body	640	valid
1.0s	577×	body	320	valid
385.0ms	583×	body	80	valid
257.0ms	195×	body	160	valid
2.0ms	1×	body	320	nan
1.0ms	1×	body	640	nan