Details

sample594.0ms

Algorithm

intervals

Results

430.0ms	142×	body	1280	valid
97.0ms	66×	body	640	valid
22.0ms	23×	body	320	valid
6.0ms	21×	body	80	valid
2.0ms	4×	body	160	valid

simplify3.1s

Counts

1 → 1

Iterations

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

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 25.3b

localize110.0ms

Local error

Found 4 expressions with local error:

3.3b	(sin (/ (- phi1 phi2) 2))
3.3b	(sin (/ (- phi1 phi2) 2))
3.5b	(cos (/ (- phi1 phi2) 2))
3.5b	(cos (/ (- 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` `add-cube-cbrt` `insert-posit16` `add-log-exp`
2×	`cos-diff` `sin-diff`

Counts

4 → 36

Calls

4 calls:

17.0ms	(sin (/ (- phi1 phi2) 2))
10.0ms	(sin (/ (- phi1 phi2) 2))
10.0ms	(cos (/ (- phi1 phi2) 2))
10.0ms	(cos (/ (- phi1 phi2) 2))

series154.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(sin (/ (- phi1 phi2) 2))
50.0ms	(sin (/ (- phi1 phi2) 2))
38.0ms	(cos (/ (- phi1 phi2) 2))
26.0ms	(cos (/ (- phi1 phi2) 2))

simplify2.6s

Counts

48 → 48

Iterations

Iter	Nodes
done	5002
5	2347
4	778
3	343
2	171
1	94
0	54

prune783.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 25.0b

localize98.0ms

Local error

Found 4 expressions with local error:

3.5b	(cos (/ (- phi1 phi2) 2))
3.5b	(cos (/ (- phi1 phi2) 2))
3.5b	(cos (/ (- phi1 phi2) 2))
3.5b	(cos (/ (- phi1 phi2) 2))

rewrite47.0ms

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:

10.0ms	(cos (/ (- phi1 phi2) 2))
9.0ms	(cos (/ (- phi1 phi2) 2))
17.0ms	(cos (/ (- phi1 phi2) 2))
10.0ms	(cos (/ (- phi1 phi2) 2))

series143.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cos (/ (- phi1 phi2) 2))
41.0ms	(cos (/ (- phi1 phi2) 2))
39.0ms	(cos (/ (- phi1 phi2) 2))
36.0ms	(cos (/ (- phi1 phi2) 2))

simplify2.5s

Counts

48 → 48

Iterations

Iter	Nodes
done	5000
6	2305
5	820
4	307
3	175
2	99
1	57
0	34

prune1.0s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 25.0b

localize112.0ms

Local error

Found 4 expressions with local error:

2.4b	(sin (/ (- lambda1 lambda2) 2))
2.4b	(sin (/ (- lambda1 lambda2) 2))
3.3b	(sin (/ (- phi1 phi2) 2))
3.3b	(sin (/ (- phi1 phi2) 2))

rewrite62.0ms

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))
14.0ms	(sin (/ (- lambda1 lambda2) 2))
18.0ms	(sin (/ (- phi1 phi2) 2))
19.0ms	(sin (/ (- phi1 phi2) 2))

series182.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(sin (/ (- lambda1 lambda2) 2))
43.0ms	(sin (/ (- lambda1 lambda2) 2))
49.0ms	(sin (/ (- phi1 phi2) 2))
48.0ms	(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

prune1.0s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 24.0b

localize159.0ms

Local error

Found 4 expressions with local error:

2.4b	(sin (/ (- lambda1 lambda2) 2))
2.4b	(sin (/ (- lambda1 lambda2) 2))
2.4b	(sin (/ (- lambda1 lambda2) 2))
3.3b	(sin (/ (- phi1 phi2) 2))

rewrite75.0ms

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:

20.0ms	(sin (/ (- lambda1 lambda2) 2))
19.0ms	(sin (/ (- lambda1 lambda2) 2))
20.0ms	(sin (/ (- lambda1 lambda2) 2))
15.0ms	(sin (/ (- phi1 phi2) 2))

series179.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(sin (/ (- lambda1 lambda2) 2))
50.0ms	(sin (/ (- lambda1 lambda2) 2))
32.0ms	(sin (/ (- lambda1 lambda2) 2))
46.0ms	(sin (/ (- phi1 phi2) 2))

simplify2.9s

Counts

48 → 48

Iterations

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

prune898.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 12.9b

regimes3.9s

Accuracy

0% (0.4b remaining)

Error of 13.5b against oracle of 13.1b and baseline of 13.5b

bsearch0.0ms

simplify19.0ms

Iterations

Iter	Nodes
done	42
1	42
0	32

end0.0ms

sample19.0s

Algorithm

intervals

Results

13.3s	4636×	body	1280	valid
3.7s	1987×	body	640	valid
714.0ms	613×	body	320	valid
540.0ms	581×	body	80	valid
290.0ms	186×	body	160	valid
1.0ms	1×	body	640	nan