Details

sample566.0ms

Algorithm

intervals

Results

349.0ms	144×	body	1280	valid
85.0ms	63×	body	640	valid
74.0ms	21×	body	320	valid
6.0ms	22×	body	80	valid
3.0ms	6×	body	160	valid

simplify4.7s

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.1b

localize131.0ms

Local error

Found 4 expressions with local error:

3.2b	(sin (/ (- lambda1 lambda2) 2.0))
3.2b	(sin (/ (- lambda1 lambda2) 2.0))
4.4b	(sin (/ (- phi1 phi2) 2.0))
4.4b	(sin (/ (- phi1 phi2) 2.0))

rewrite40.0ms

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` `add-log-exp`

Counts

4 → 32

Calls

4 calls:

8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- phi1 phi2) 2.0))
15.0ms	(sin (/ (- phi1 phi2) 2.0))

series199.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(sin (/ (- lambda1 lambda2) 2.0))
56.0ms	(sin (/ (- lambda1 lambda2) 2.0))
48.0ms	(sin (/ (- phi1 phi2) 2.0))
41.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify2.9s

Counts

44 → 44

Iterations

Iter	Nodes
done	5000
6	3093
5	1072
4	542
3	315
2	174
1	103
0	60

prune797.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 21.5b

localize180.0ms

Local error

Found 4 expressions with local error:

3.2b	(sin (/ (- lambda1 lambda2) 2.0))
3.2b	(sin (/ (- lambda1 lambda2) 2.0))
3.2b	(sin (/ (- lambda1 lambda2) 2.0))
4.4b	(sin (/ (- phi1 phi2) 2.0))

rewrite35.0ms

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` `add-log-exp`

Counts

4 → 32

Calls

4 calls:

8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- phi1 phi2) 2.0))

series223.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(sin (/ (- lambda1 lambda2) 2.0))
45.0ms	(sin (/ (- lambda1 lambda2) 2.0))
66.0ms	(sin (/ (- lambda1 lambda2) 2.0))
43.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify3.1s

Counts

44 → 44

Iterations

Iter	Nodes
done	5000
6	3093
5	1072
4	542
3	315
2	174
1	103
0	60

prune1.2s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 11.1b

localize131.0ms

Local error

Found 4 expressions with local error:

3.2b	(sin (/ (- lambda1 lambda2) 2.0))
3.2b	(sin (/ (- lambda1 lambda2) 2.0))
3.2b	(sin (/ (- lambda1 lambda2) 2.0))
3.2b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite65.0ms

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` `add-log-exp`

Counts

4 → 32

Calls

4 calls:

16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series202.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(sin (/ (- lambda1 lambda2) 2.0))
44.0ms	(sin (/ (- lambda1 lambda2) 2.0))
46.0ms	(sin (/ (- lambda1 lambda2) 2.0))
64.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify3.6s

Counts

44 → 44

Iterations

Iter	Nodes
done	5000
6	1956
5	632
4	303
3	169
2	91
1	55
0	32

prune1.2s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 11.1b

localize208.0ms

Local error

Found 4 expressions with local error:

3.2b	(sin (/ (- lambda1 lambda2) 2.0))
3.2b	(sin (/ (- lambda1 lambda2) 2.0))
3.2b	(sin (/ (- lambda1 lambda2) 2.0))
3.4b	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

rewrite67.0ms

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` `add-log-exp`
3×	`log-prod` `exp-prod`
1×	`log-div` `exp-diff` `rem-log-exp`

Counts

4 → 40

Calls

4 calls:

13.0ms	(sin (/ (- lambda1 lambda2) 2.0))
14.0ms	(sin (/ (- lambda1 lambda2) 2.0))
14.0ms	(sin (/ (- lambda1 lambda2) 2.0))
24.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

series226.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(sin (/ (- lambda1 lambda2) 2.0))
44.0ms	(sin (/ (- lambda1 lambda2) 2.0))
61.0ms	(sin (/ (- lambda1 lambda2) 2.0))
59.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

simplify2.5s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
6	1950
5	769
4	407
3	234
2	144
1	93
0	58

prune941.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 11.0b

regimes3.6s

Accuracy

0% (0.5b remaining)

Error of 14.5b against oracle of 14.1b and baseline of 14.5b

bsearch0.0ms

simplify13.0ms

Iterations

Iter	Nodes
done	48
1	48
0	37

end0.0ms

sample19.6s

Algorithm

intervals

Results

13.8s	4729×	body	1280	valid
4.4s	1945×	body	640	valid
559.0ms	562×	body	320	valid
194.0ms	551×	body	80	valid
168.0ms	216×	body	160	valid
1.0ms	1×	body	320	nan
0.0ms	1×	body	80	nan