Details

sample793.0ms

Algorithm

intervals

Results

564.0ms	161×	body	1280	valid
157.0ms	61×	body	640	valid
16.0ms	12×	body	320	valid
7.0ms	17×	body	80	valid
5.0ms	5×	body	160	valid

simplify3.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
6	2069
5	738
4	423
3	216
2	108
1	58
0	26

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.9b

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))

rewrite56.0ms

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:

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

series147.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2))
32.0ms	(sin (/ (- lambda1 lambda2) 2))
33.0ms	(sin (/ (- phi1 phi2) 2))
47.0ms	(sin (/ (- phi1 phi2) 2))

simplify2.2s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
5	1604
4	799
3	384
2	197
1	112
0	66

prune1.2s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 24.7b

localize159.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

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))
8.0ms	(sin (/ (- lambda1 lambda2) 2))
10.0ms	(sin (/ (- lambda1 lambda2) 2))
14.0ms	(sin (/ (- phi1 phi2) 2))

series198.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(sin (/ (- lambda1 lambda2) 2))
52.0ms	(sin (/ (- lambda1 lambda2) 2))
51.0ms	(sin (/ (- lambda1 lambda2) 2))
52.0ms	(sin (/ (- phi1 phi2) 2))

simplify2.6s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
5	1604
4	799
3	384
2	197
1	112
0	66

prune1.3s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 15.5b

localize138.0ms

Local error

Found 4 expressions with local error:

2.6b	(sin (/ (- lambda1 lambda2) 2))
2.6b	(sin (/ (- lambda1 lambda2) 2))
2.6b	(sin (/ (- lambda1 lambda2) 2))
2.6b	(sin (/ (- lambda1 lambda2) 2))

rewrite60.0ms

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))
10.0ms	(sin (/ (- lambda1 lambda2) 2))
15.0ms	(sin (/ (- lambda1 lambda2) 2))
27.0ms	(sin (/ (- lambda1 lambda2) 2))

series173.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(sin (/ (- lambda1 lambda2) 2))
42.0ms	(sin (/ (- lambda1 lambda2) 2))
35.0ms	(sin (/ (- lambda1 lambda2) 2))
40.0ms	(sin (/ (- lambda1 lambda2) 2))

simplify4.7s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
6	3196
5	982
4	453
3	210
2	102
1	59
0	35

prune1.3s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 15.5b

localize169.0ms

Local error

Found 4 expressions with local error:

2.6b	(sin (/ (- lambda1 lambda2) 2))
2.6b	(sin (/ (- lambda1 lambda2) 2))
2.6b	(sin (/ (- lambda1 lambda2) 2))
2.6b	(sin (/ (- lambda1 lambda2) 2))

rewrite37.0ms

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))
8.0ms	(sin (/ (- lambda1 lambda2) 2))
13.0ms	(sin (/ (- lambda1 lambda2) 2))
8.0ms	(sin (/ (- lambda1 lambda2) 2))

series216.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(sin (/ (- lambda1 lambda2) 2))
59.0ms	(sin (/ (- lambda1 lambda2) 2))
53.0ms	(sin (/ (- lambda1 lambda2) 2))
49.0ms	(sin (/ (- lambda1 lambda2) 2))

simplify4.4s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
6	3196
5	982
4	453
3	210
2	102
1	59
0	35

prune975.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 15.5b

regimes4.0s

Accuracy

0% (0.4b remaining)

Error of 13.7b against oracle of 13.3b and baseline of 13.7b

bsearch0.0ms

simplify13.0ms

Iterations

Iter	Nodes
done	50
1	50
0	38

end0.0ms

sample29.4s

Algorithm

intervals

Results

22.2s	4769×	body	1280	valid
5.1s	1893×	body	640	valid
994.0ms	582×	body	320	valid
305.0ms	566×	body	80	valid
223.0ms	192×	body	160	valid
3.0ms	2×	body	320	nan
3.0ms	1×	body	640	nan
0.0ms	1×	body	80	nan