Details

sample514.0ms

Algorithm

intervals

Results

354.0ms	161×	body	1280	valid
107.0ms	61×	body	640	valid
10.0ms	12×	body	320	valid
4.0ms	17×	body	80	valid
2.0ms	5×	body	160	valid

simplify3.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	2642
6	985
5	580
4	386
3	195
2	107
1	58
0	26

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 25.9b

localize130.0ms

Local error

Found 4 expressions with local error:

2.6b	(sin (/ (- lambda1 lambda2) 2))
2.6b	(sin (/ (- lambda1 lambda2) 2))
2.7b	(sin (/ (- phi1 phi2) 2))
2.7b	(sin (/ (- phi1 phi2) 2))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

13.0ms	(sin (/ (- lambda1 lambda2) 2))
14.0ms	(sin (/ (- lambda1 lambda2) 2))
12.0ms	(sin (/ (- phi1 phi2) 2))
7.0ms	(sin (/ (- phi1 phi2) 2))

series193.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(sin (/ (- lambda1 lambda2) 2))
54.0ms	(sin (/ (- lambda1 lambda2) 2))
53.0ms	(sin (/ (- phi1 phi2) 2))
53.0ms	(sin (/ (- phi1 phi2) 2))

simplify4.3s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
6	3817
5	1457
4	722
3	347
2	195
1	112
0	66

prune822.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 25.3b

localize84.0ms

Local error

Found 4 expressions with local error:

2.6b	(sin (/ (- lambda1 lambda2) 2))
2.6b	(sin (/ (- lambda1 lambda2) 2))
2.7b	(sin (/ (- phi1 phi2) 2))
2.7b	(sin (/ (- phi1 phi2) 2))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

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

series162.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(sin (/ (- lambda1 lambda2) 2))
42.0ms	(sin (/ (- lambda1 lambda2) 2))
39.0ms	(sin (/ (- phi1 phi2) 2))
29.0ms	(sin (/ (- phi1 phi2) 2))

simplify4.3s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
6	3817
5	1457
4	722
3	347
2	195
1	112
0	66

prune962.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 25.3b

localize140.0ms

Local error

Found 4 expressions with local error:

2.6b	(sin (/ (- lambda1 lambda2) 2))
2.6b	(sin (/ (- lambda1 lambda2) 2))
2.7b	(sin (/ (- phi1 phi2) 2))
2.7b	(sin (/ (- phi1 phi2) 2))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

10.0ms	(sin (/ (- lambda1 lambda2) 2))
19.0ms	(sin (/ (- lambda1 lambda2) 2))
9.0ms	(sin (/ (- phi1 phi2) 2))
7.0ms	(sin (/ (- phi1 phi2) 2))

series159.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(sin (/ (- lambda1 lambda2) 2))
34.0ms	(sin (/ (- lambda1 lambda2) 2))
43.0ms	(sin (/ (- phi1 phi2) 2))
32.0ms	(sin (/ (- phi1 phi2) 2))

simplify4.1s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
6	3817
5	1457
4	722
3	347
2	195
1	112
0	66

prune1.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 25.3b

localize200.0ms

Local error

Found 4 expressions with local error:

2.6b	(sin (/ (- lambda1 lambda2) 2))
2.6b	(sin (/ (- lambda1 lambda2) 2))
2.7b	(sin (/ (- phi1 phi2) 2))
2.7b	(sin (/ (- phi1 phi2) 2))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

7.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))
8.0ms	(sin (/ (- phi1 phi2) 2))
13.0ms	(sin (/ (- phi1 phi2) 2))

series174.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2))
45.0ms	(sin (/ (- lambda1 lambda2) 2))
51.0ms	(sin (/ (- phi1 phi2) 2))
42.0ms	(sin (/ (- phi1 phi2) 2))

simplify4.0s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
6	3817
5	1457
4	722
3	347
2	195
1	112
0	66

prune991.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 25.0b

regimes4.8s

Accuracy

0% (0.6b remaining)

Error of 24.1b against oracle of 23.5b and baseline of 24.1b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	46
1	46
0	39

end0.0ms

sample20.4s

Algorithm

intervals

Results

14.7s	4769×	body	1280	valid
3.6s	1893×	body	640	valid
1.2s	582×	body	320	valid
244.0ms	566×	body	80	valid
166.0ms	192×	body	160	valid
2.0ms	2×	body	320	nan
1.0ms	1×	body	640	nan
0.0ms	1×	body	80	nan