Details

sample856.0ms

Algorithm

intervals

Results

595.0ms	150×	body	1280	valid
143.0ms	59×	body	640	valid
32.0ms	4×	body	160	valid
29.0ms	19×	body	320	valid
11.0ms	24×	body	80	valid

simplify3.5s

Counts

1 → 1

Iterations

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

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 22.6b

localize120.0ms

Local error

Found 4 expressions with local error:

3.5b	(sin (/ (- lambda1 lambda2) 2))
3.5b	(sin (/ (- lambda1 lambda2) 2))
3.5b	(sin (/ (- lambda1 lambda2) 2))
3.5b	(sin (/ (- lambda1 lambda2) 2))

rewrite41.0ms

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:

7.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))
13.0ms	(sin (/ (- lambda1 lambda2) 2))
14.0ms	(sin (/ (- lambda1 lambda2) 2))

series149.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(sin (/ (- lambda1 lambda2) 2))
40.0ms	(sin (/ (- lambda1 lambda2) 2))
47.0ms	(sin (/ (- lambda1 lambda2) 2))
32.0ms	(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

prune1.2s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 22.3b

localize115.0ms

Local error

Found 4 expressions with local error:

3.5b	(sin (/ (- lambda1 lambda2) 2))
3.5b	(sin (/ (- lambda1 lambda2) 2))
3.5b	(sin (/ (- lambda1 lambda2) 2))
3.5b	(sin (/ (- lambda1 lambda2) 2))

rewrite36.0ms

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))
8.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))

series152.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(sin (/ (- lambda1 lambda2) 2))
43.0ms	(sin (/ (- lambda1 lambda2) 2))
33.0ms	(sin (/ (- lambda1 lambda2) 2))
35.0ms	(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

prune939.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 22.3b

localize133.0ms

Local error

Found 4 expressions with local error:

3.5b	(sin (/ (- lambda1 lambda2) 2))
3.5b	(sin (/ (- lambda1 lambda2) 2))
3.5b	(sin (/ (- lambda1 lambda2) 2))
8.2b	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

rewrite98.0ms

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))
13.0ms	(sin (/ (- lambda1 lambda2) 2))
14.0ms	(sin (/ (- lambda1 lambda2) 2))
57.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

series172.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(sin (/ (- lambda1 lambda2) 2))
32.0ms	(sin (/ (- lambda1 lambda2) 2))
35.0ms	(sin (/ (- lambda1 lambda2) 2))
53.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

simplify2.5s

Counts

51 → 51

Iterations

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

prune1.1s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 22.3b

localize143.0ms

Local error

Found 4 expressions with local error:

3.5b	(sin (/ (- lambda1 lambda2) 2))
3.5b	(sin (/ (- lambda1 lambda2) 2))
3.5b	(sin (/ (- lambda1 lambda2) 2))
3.5b	(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:

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

series169.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2))
36.0ms	(sin (/ (- lambda1 lambda2) 2))
43.0ms	(sin (/ (- lambda1 lambda2) 2))
53.0ms	(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

prune881.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 22.3b

regimes3.7s

Accuracy

0% (0.5b remaining)

Error of 23.7b against oracle of 23.1b and baseline of 23.7b

bsearch0.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	41
1	41
0	32

end0.0ms

sample24.4s

Algorithm

intervals

Results

17.1s	4670×	body	1280	valid
5.5s	1927×	body	640	valid
945.0ms	568×	body	320	valid
270.0ms	638×	body	80	valid
209.0ms	202×	body	160	valid
3.0ms	1×	body	640	nan
1.0ms	1×	body	160	nan