Details

sample797.0ms

Algorithm

intervals

Results

510.0ms	139×	body	1280	valid
156.0ms	73×	body	640	valid
77.0ms	23×	body	320	valid
7.0ms	7×	body	160	valid
6.0ms	14×	body	80	valid
2.0ms	1×	body	640	nan

simplify1.5s

Counts

1 → 1

Iterations

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

prune48.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 26.1b

localize163.0ms

Local error

Found 4 expressions with local error:

4.2b	(sin (/ (- phi1 phi2) 2))
4.2b	(sin (/ (- phi1 phi2) 2))
4.2b	(cos (/ (- phi1 phi2) 2))
4.2b	(cos (/ (- phi1 phi2) 2))

rewrite28.0ms

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

series190.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(sin (/ (- phi1 phi2) 2))
51.0ms	(sin (/ (- phi1 phi2) 2))
45.0ms	(cos (/ (- phi1 phi2) 2))
42.0ms	(cos (/ (- phi1 phi2) 2))

simplify1.2s

Counts

48 → 48

Iterations

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

prune729.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 25.8b

localize148.0ms

Local error

Found 4 expressions with local error:

4.2b	(cos (/ (- phi1 phi2) 2))
4.2b	(cos (/ (- phi1 phi2) 2))
4.2b	(cos (/ (- phi1 phi2) 2))
4.2b	(cos (/ (- phi1 phi2) 2))

rewrite62.0ms

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))
13.0ms	(cos (/ (- phi1 phi2) 2))
13.0ms	(cos (/ (- phi1 phi2) 2))
22.0ms	(cos (/ (- phi1 phi2) 2))

series144.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(cos (/ (- phi1 phi2) 2))
35.0ms	(cos (/ (- phi1 phi2) 2))
40.0ms	(cos (/ (- phi1 phi2) 2))
40.0ms	(cos (/ (- phi1 phi2) 2))

simplify1.0s

Counts

48 → 48

Iterations

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

prune747.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 25.8b

localize78.0ms

Local error

Found 4 expressions with local error:

3.1b	(sin (/ (- lambda1 lambda2) 2))
3.1b	(sin (/ (- lambda1 lambda2) 2))
4.2b	(sin (/ (- phi1 phi2) 2))
4.2b	(sin (/ (- phi1 phi2) 2))

rewrite31.0ms

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))
6.0ms	(sin (/ (- lambda1 lambda2) 2))
6.0ms	(sin (/ (- phi1 phi2) 2))
7.0ms	(sin (/ (- phi1 phi2) 2))

series208.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(sin (/ (- lambda1 lambda2) 2))
54.0ms	(sin (/ (- lambda1 lambda2) 2))
50.0ms	(sin (/ (- phi1 phi2) 2))
52.0ms	(sin (/ (- phi1 phi2) 2))

simplify1.5s

Counts

48 → 48

Iterations

Iter	Nodes
done	2024
6	2024
5	1108
4	554
3	315
2	175
1	104
0	62

prune917.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 24.9b

localize169.0ms

Local error

Found 4 expressions with local error:

3.1b	(sin (/ (- lambda1 lambda2) 2))
3.1b	(sin (/ (- lambda1 lambda2) 2))
3.1b	(sin (/ (- lambda1 lambda2) 2))
4.2b	(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:

13.0ms	(sin (/ (- lambda1 lambda2) 2))
6.0ms	(sin (/ (- lambda1 lambda2) 2))
6.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- phi1 phi2) 2))

series202.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(sin (/ (- lambda1 lambda2) 2))
49.0ms	(sin (/ (- lambda1 lambda2) 2))
49.0ms	(sin (/ (- lambda1 lambda2) 2))
58.0ms	(sin (/ (- phi1 phi2) 2))

simplify1.5s

Counts

48 → 48

Iterations

Iter	Nodes
done	2024
6	2024
5	1108
4	554
3	315
2	175
1	104
0	62

prune863.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 12.3b

regimes3.7s

Accuracy

0% (0.4b remaining)

Error of 13.9b against oracle of 13.5b and baseline of 13.9b

bsearch0.0ms

simplify21.0ms

Iterations

Iter	Nodes
done	42
1	42
0	32

end0.0ms

sample25.8s

Algorithm

intervals

Results

18.8s	4744×	body	1280	valid
5.1s	1927×	body	640	valid
871.0ms	518×	body	320	valid
263.0ms	212×	body	160	valid
242.0ms	600×	body	80	valid
2.0ms	1×	body	640	nan
2.0ms	1×	body	320	nan
1.0ms	1×	body	80	nan