Details

sample523.0ms

Algorithm

intervals

Results

262.0ms	146×	body	1280	valid
194.0ms	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

simplify10.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5005
7	4198
6	1145
5	472
4	297
3	172
2	95
1	56
0	26

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.1b

localize370.0ms

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))

rewrite81.0ms

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:

15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
17.0ms	(sin (/ (- phi1 phi2) 2.0))
33.0ms	(sin (/ (- phi1 phi2) 2.0))

series308.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(sin (/ (- lambda1 lambda2) 2.0))
78.0ms	(sin (/ (- lambda1 lambda2) 2.0))
76.0ms	(sin (/ (- phi1 phi2) 2.0))
68.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify8.3s

Counts

48 → 48

Iterations

Iter	Nodes
done	5001
6	3840
5	1289
4	593
3	325
2	176
1	105
0	62

prune1.5s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 21.9b

localize377.0ms

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))

rewrite114.0ms

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:

22.0ms	(sin (/ (- lambda1 lambda2) 2.0))
31.0ms	(sin (/ (- lambda1 lambda2) 2.0))
30.0ms	(sin (/ (- lambda1 lambda2) 2.0))
30.0ms	(sin (/ (- phi1 phi2) 2.0))

series269.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(sin (/ (- lambda1 lambda2) 2.0))
69.0ms	(sin (/ (- lambda1 lambda2) 2.0))
51.0ms	(sin (/ (- lambda1 lambda2) 2.0))
64.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify9.0s

Counts

48 → 48

Iterations

Iter	Nodes
done	5001
6	3840
5	1289
4	593
3	325
2	176
1	105
0	62

prune2.0s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 11.9b

localize365.0ms

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))

rewrite88.0ms

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:

18.0ms	(sin (/ (- lambda1 lambda2) 2.0))
30.0ms	(sin (/ (- lambda1 lambda2) 2.0))
22.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series259.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(sin (/ (- lambda1 lambda2) 2.0))
63.0ms	(sin (/ (- lambda1 lambda2) 2.0))
71.0ms	(sin (/ (- lambda1 lambda2) 2.0))
61.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify6.4s

Counts

48 → 48

Iterations

Iter	Nodes
done	5000
6	1814
5	618
4	304
3	168
2	92
1	56
0	33

prune2.0s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 11.8b

localize487.0ms

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))
4.0b	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`add-cbrt-cube` `div-sub` `add-exp-log` `log-pow` `sin-diff` `insert-posit16` `add-log-exp`
3×	`log-prod` `exp-prod`
1×	`log-div` `exp-diff` `rem-log-exp`

Counts

4 → 44

Calls

4 calls:

30.0ms	(sin (/ (- lambda1 lambda2) 2.0))
30.0ms	(sin (/ (- lambda1 lambda2) 2.0))
32.0ms	(sin (/ (- lambda1 lambda2) 2.0))
92.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

series272.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(sin (/ (- lambda1 lambda2) 2.0))
70.0ms	(sin (/ (- lambda1 lambda2) 2.0))
70.0ms	(sin (/ (- lambda1 lambda2) 2.0))
62.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

simplify5.5s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
6	2211
5	827
4	424
3	234
2	145
1	96
0	60

prune1.6s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 11.8b

regimes7.2s

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify34.0ms

Iterations

Iter	Nodes
done	48
1	48
0	38

end0.0ms

sample20.1s

Algorithm

intervals

Results

14.2s	4780×	body	1280	valid
3.9s	1934×	body	640	valid
1.1s	521×	body	320	valid
153.0ms	572×	body	80	valid
120.0ms	194×	body	160	valid
3.0ms	2×	body	640	nan
1.0ms	1×	body	160	nan