Details

sample706.0ms

Algorithm

intervals

Results

499.0ms	140×	body	1280	valid
117.0ms	59×	body	640	valid
34.0ms	23×	body	320	valid
12.0ms	32×	body	80	valid
2.0ms	2×	body	160	valid

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	2160
6	829
5	453
4	319
3	192
2	102
1	58
0	26

prune41.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 21.4b

localize112.0ms

Local error

Found 4 expressions with local error:

3.7b	(sin (/ (- lambda1 lambda2) 2))
3.7b	(sin (/ (- lambda1 lambda2) 2))
3.7b	(sin (/ (- lambda1 lambda2) 2))
3.7b	(sin (/ (- lambda1 lambda2) 2))

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` `insert-posit16` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

14.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))

series167.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(sin (/ (- lambda1 lambda2) 2))
32.0ms	(sin (/ (- lambda1 lambda2) 2))
40.0ms	(sin (/ (- lambda1 lambda2) 2))
54.0ms	(sin (/ (- lambda1 lambda2) 2))

simplify3.2s

Counts

48 → 48

Iterations

Iter	Nodes
done	5000
6	1996
5	648
4	303
3	169
2	91
1	55
0	33

prune868.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 21.1b

localize114.0ms

Local error

Found 4 expressions with local error:

3.7b	(sin (/ (- lambda1 lambda2) 2))
3.7b	(sin (/ (- lambda1 lambda2) 2))
3.7b	(sin (/ (- lambda1 lambda2) 2))
6.3b	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`
3×	`div-sub` `sin-diff`
1×	`cbrt-prod` `cbrt-div` `pow1/3` `pow3` `associate-*l/` `rem-cbrt-cube` `sin-mult`

Counts

4 → 39

Calls

4 calls:

13.0ms	(sin (/ (- lambda1 lambda2) 2))
8.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))
49.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

series210.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(sin (/ (- lambda1 lambda2) 2))
50.0ms	(sin (/ (- lambda1 lambda2) 2))
50.0ms	(sin (/ (- lambda1 lambda2) 2))
51.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

simplify2.7s

Counts

51 → 51

Iterations

Iter	Nodes
done	5001
6	2518
5	962
4	491
3	265
2	133
1	80
0	51

prune932.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 21.1b

localize91.0ms

Local error

Found 4 expressions with local error:

3.7b	(sin (/ (- lambda1 lambda2) 2))
3.7b	(sin (/ (- lambda1 lambda2) 2))
3.7b	(sin (/ (- lambda1 lambda2) 2))
3.7b	(sin (/ (- lambda1 lambda2) 2))

rewrite54.0ms

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:

14.0ms	(sin (/ (- lambda1 lambda2) 2))
14.0ms	(sin (/ (- lambda1 lambda2) 2))
9.0ms	(sin (/ (- lambda1 lambda2) 2))
16.0ms	(sin (/ (- lambda1 lambda2) 2))

series537.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2))
35.0ms	(sin (/ (- lambda1 lambda2) 2))
417.0ms	(sin (/ (- lambda1 lambda2) 2))
50.0ms	(sin (/ (- lambda1 lambda2) 2))

simplify3.4s

Counts

48 → 48

Iterations

Iter	Nodes
done	5000
6	1996
5	648
4	303
3	169
2	91
1	55
0	33

prune876.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 21.1b

localize162.0ms

Local error

Found 4 expressions with local error:

3.7b	(sin (/ (- lambda1 lambda2) 2))
3.7b	(sin (/ (- lambda1 lambda2) 2))
3.7b	(sin (/ (- lambda1 lambda2) 2))
3.7b	(sin (/ (- lambda1 lambda2) 2))

rewrite49.0ms

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:

8.0ms	(sin (/ (- lambda1 lambda2) 2))
13.0ms	(sin (/ (- lambda1 lambda2) 2))
14.0ms	(sin (/ (- lambda1 lambda2) 2))
14.0ms	(sin (/ (- lambda1 lambda2) 2))

series166.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(sin (/ (- lambda1 lambda2) 2))
34.0ms	(sin (/ (- lambda1 lambda2) 2))
51.0ms	(sin (/ (- lambda1 lambda2) 2))
40.0ms	(sin (/ (- lambda1 lambda2) 2))

simplify3.3s

Counts

48 → 48

Iterations

Iter	Nodes
done	5000
6	1996
5	648
4	303
3	169
2	91
1	55
0	33

prune719.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 21.1b

regimes2.5s

Accuracy

0% (0.6b remaining)

Error of 24.2b against oracle of 23.6b and baseline of 24.2b

bsearch0.0ms

simplify22.0ms

Iterations

Iter	Nodes
done	45
1	45
0	35

end0.0ms

sample25.2s

Algorithm

intervals

Results

17.2s	4651×	body	1280	valid
4.9s	1999×	body	640	valid
1.7s	553×	body	320	valid
714.0ms	607×	body	80	valid
238.0ms	193×	body	160	valid
2.0ms	1×	body	640	nan
2.0ms	1×	body	320	nan