Details

sample582.0ms

Algorithm

intervals

Results

386.0ms	145×	body	1280	valid
83.0ms	58×	body	640	valid
42.0ms	21×	body	320	valid
8.0ms	26×	body	80	valid
5.0ms	7×	body	160	valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1056
4	394
3	189
2	100
1	56
0	26

prune48.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 25.1b

localize113.0ms

Local error

Found 4 expressions with local error:

2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.9b	(sin (/ (- phi1 phi2) 2.0))
2.9b	(sin (/ (- phi1 phi2) 2.0))

rewrite74.0ms

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` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

17.0ms	(sin (/ (- lambda1 lambda2) 2.0))
24.0ms	(sin (/ (- lambda1 lambda2) 2.0))
15.0ms	(sin (/ (- phi1 phi2) 2.0))
16.0ms	(sin (/ (- phi1 phi2) 2.0))

series214.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(sin (/ (- lambda1 lambda2) 2.0))
63.0ms	(sin (/ (- lambda1 lambda2) 2.0))
57.0ms	(sin (/ (- phi1 phi2) 2.0))
46.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify2.8s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
5	3111
4	1113
3	426
2	196
1	111
0	64

prune1.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 24.0b

localize143.0ms

Local error

Found 4 expressions with local error:

2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(sin (/ (- lambda1 lambda2) 2.0))
2.9b	(sin (/ (- phi1 phi2) 2.0))

rewrite47.0ms

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` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
21.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
9.0ms	(sin (/ (- phi1 phi2) 2.0))

series238.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(sin (/ (- lambda1 lambda2) 2.0))
67.0ms	(sin (/ (- lambda1 lambda2) 2.0))
64.0ms	(sin (/ (- lambda1 lambda2) 2.0))
41.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify2.8s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
5	3111
4	1113
3	426
2	196
1	111
0	64

prune1.3s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 15.5b

localize119.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

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` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

22.0ms	(sin (/ (- lambda1 lambda2) 2.0))
13.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series229.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(sin (/ (- lambda1 lambda2) 2.0))
63.0ms	(sin (/ (- lambda1 lambda2) 2.0))
48.0ms	(sin (/ (- lambda1 lambda2) 2.0))
51.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify2.8s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
5	1702
4	575
3	227
2	102
1	59
0	34

prune1.2s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 15.4b

localize188.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

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` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
15.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series203.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(sin (/ (- lambda1 lambda2) 2.0))
62.0ms	(sin (/ (- lambda1 lambda2) 2.0))
43.0ms	(sin (/ (- lambda1 lambda2) 2.0))
45.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify2.7s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
5	1702
4	575
3	227
2	102
1	59
0	34

prune921.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 15.4b

regimes5.0s

Accuracy

0% (0.5b remaining)

Error of 14.3b against oracle of 13.8b and baseline of 14.3b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	46
1	46
0	38

end0.0ms

sample22.1s

Algorithm

intervals

Results

14.8s	4729×	body	1280	valid
4.5s	1951×	body	640	valid
1.6s	560×	body	320	valid
230.0ms	552×	body	80	valid
220.0ms	209×	body	160	valid
1.0ms	1×	body	640	nan