Details

sample513.0ms

Algorithm

intervals

Results

295.0ms	146×	body	1280	valid
92.0ms	66×	body	640	valid
9.0ms	9×	body	320	valid
7.0ms	29×	body	80	valid
4.0ms	6×	body	160	valid
0.0ms	1×	body	160	nan

simplify11.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4817
6	1329
5	606
4	349
3	176
2	99
1	56
0	26

prune70.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 23.1b

localize259.0ms

Local error

Found 4 expressions with local error:

2.0b	(sin (/ (- lambda1 lambda2) 2.0))
2.0b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- phi1 phi2) 2.0))
2.8b	(sin (/ (- phi1 phi2) 2.0))

rewrite104.0ms

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) 2.0))
30.0ms	(sin (/ (- lambda1 lambda2) 2.0))
29.0ms	(sin (/ (- phi1 phi2) 2.0))
30.0ms	(sin (/ (- phi1 phi2) 2.0))

series266.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(sin (/ (- lambda1 lambda2) 2.0))
71.0ms	(sin (/ (- lambda1 lambda2) 2.0))
58.0ms	(sin (/ (- phi1 phi2) 2.0))
67.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify8.6s

Counts

56 → 56

Iterations

Iter	Nodes
done	5029
6	3766
5	1440
4	717
3	348
2	196
1	113
0	66

prune1.8s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 21.9b

localize296.0ms

Local error

Found 4 expressions with local error:

2.0b	(sin (/ (- lambda1 lambda2) 2.0))
2.0b	(sin (/ (- lambda1 lambda2) 2.0))
2.0b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- phi1 phi2) 2.0))

rewrite109.0ms

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:

18.0ms	(sin (/ (- lambda1 lambda2) 2.0))
31.0ms	(sin (/ (- lambda1 lambda2) 2.0))
30.0ms	(sin (/ (- lambda1 lambda2) 2.0))
28.0ms	(sin (/ (- phi1 phi2) 2.0))

series294.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(sin (/ (- lambda1 lambda2) 2.0))
77.0ms	(sin (/ (- lambda1 lambda2) 2.0))
83.0ms	(sin (/ (- lambda1 lambda2) 2.0))
57.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify8.8s

Counts

56 → 56

Iterations

Iter	Nodes
done	5029
6	3766
5	1440
4	717
3	348
2	196
1	113
0	66

prune2.1s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 11.9b

localize318.0ms

Local error

Found 4 expressions with local error:

2.0b	(sin (/ (- lambda1 lambda2) 2.0))
2.0b	(sin (/ (- lambda1 lambda2) 2.0))
2.0b	(sin (/ (- lambda1 lambda2) 2.0))
2.0b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite72.0ms

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) 2.0))
15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
14.0ms	(sin (/ (- lambda1 lambda2) 2.0))
27.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series253.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(sin (/ (- lambda1 lambda2) 2.0))
61.0ms	(sin (/ (- lambda1 lambda2) 2.0))
63.0ms	(sin (/ (- lambda1 lambda2) 2.0))
58.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify6.1s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
6	2123
5	825
4	389
3	187
2	102
1	60
0	35

prune2.1s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 11.8b

localize384.0ms

Local error

Found 4 expressions with local error:

2.0b	(sin (/ (- lambda1 lambda2) 2.0))
2.0b	(sin (/ (- lambda1 lambda2) 2.0))
2.0b	(sin (/ (- lambda1 lambda2) 2.0))
2.0b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite101.0ms

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:

15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
28.0ms	(sin (/ (- lambda1 lambda2) 2.0))
31.0ms	(sin (/ (- lambda1 lambda2) 2.0))
26.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series283.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(sin (/ (- lambda1 lambda2) 2.0))
59.0ms	(sin (/ (- lambda1 lambda2) 2.0))
86.0ms	(sin (/ (- lambda1 lambda2) 2.0))
67.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify6.2s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
6	2123
5	825
4	389
3	187
2	102
1	60
0	35

prune1.6s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 11.8b

regimes6.8s

Accuracy

0% (0.4b remaining)

Error of 14.4b against oracle of 14.0b and baseline of 14.4b

bsearch0.0ms

simplify32.0ms

Iterations

Iter	Nodes
done	44
1	44
0	36

end0.0ms

sample20.9s

Algorithm

intervals

Results

13.9s	4780×	body	1280	valid
4.9s	1934×	body	640	valid
594.0ms	521×	body	320	valid
566.0ms	194×	body	160	valid
240.0ms	572×	body	80	valid
2.0ms	2×	body	640	nan
0.0ms	1×	body	160	nan