Details

sample731.0ms

Algorithm

intervals

Results

551.0ms	161×	body	1280	valid
109.0ms	61×	body	640	valid
18.0ms	12×	body	320	valid
6.0ms	17×	body	80	valid
4.0ms	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

prune44.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 25.9b

localize90.0ms

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))

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` `sin-diff` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

8.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))
11.0ms	(sin (/ (- phi1 phi2) 2))
7.0ms	(sin (/ (- phi1 phi2) 2))

series134.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(sin (/ (- lambda1 lambda2) 2))
32.0ms	(sin (/ (- lambda1 lambda2) 2))
30.0ms	(sin (/ (- phi1 phi2) 2))
42.0ms	(sin (/ (- phi1 phi2) 2))

simplify4.7s

Counts

56 → 56

Iterations

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

prune972.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 25.3b

localize107.0ms

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))

rewrite50.0ms

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:

9.0ms	(sin (/ (- lambda1 lambda2) 2))
14.0ms	(sin (/ (- lambda1 lambda2) 2))
13.0ms	(sin (/ (- phi1 phi2) 2))
14.0ms	(sin (/ (- phi1 phi2) 2))

series161.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(sin (/ (- lambda1 lambda2) 2))
51.0ms	(sin (/ (- lambda1 lambda2) 2))
36.0ms	(sin (/ (- phi1 phi2) 2))
31.0ms	(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

prune1.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 25.3b

localize123.0ms

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:

20.0ms	(sin (/ (- lambda1 lambda2) 2))
12.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- phi1 phi2) 2))
7.0ms	(sin (/ (- phi1 phi2) 2))

series209.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(sin (/ (- lambda1 lambda2) 2))
56.0ms	(sin (/ (- lambda1 lambda2) 2))
53.0ms	(sin (/ (- phi1 phi2) 2))
50.0ms	(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

prune1.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 25.3b

localize181.0ms

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))

rewrite49.0ms

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:

9.0ms	(sin (/ (- lambda1 lambda2) 2))
13.0ms	(sin (/ (- lambda1 lambda2) 2))
13.0ms	(sin (/ (- phi1 phi2) 2))
15.0ms	(sin (/ (- phi1 phi2) 2))

series147.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2))
38.0ms	(sin (/ (- lambda1 lambda2) 2))
35.0ms	(sin (/ (- phi1 phi2) 2))
38.0ms	(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

prune1.1s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 25.0b

regimes5.2s

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

sample25.5s

Algorithm

intervals

Results

18.9s	4769×	body	1280	valid
4.8s	1893×	body	640	valid
937.0ms	582×	body	320	valid
261.0ms	566×	body	80	valid
206.0ms	192×	body	160	valid
2.0ms	2×	body	320	nan
1.0ms	1×	body	640	nan
0.0ms	1×	body	80	nan