Details

sample712.0ms

Algorithm

intervals

Results

474.0ms	142×	body	1280	valid
121.0ms	62×	body	640	valid
63.0ms	25×	body	320	valid
8.0ms	23×	body	80	valid
6.0ms	5×	body	160	valid

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	3771
5	800
4	375
3	210
2	107
1	58
0	26

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 22.6b

localize133.0ms

Local error

Found 4 expressions with local error:

3.9b	(sin (/ (- lambda1 lambda2) 2))
3.9b	(sin (/ (- lambda1 lambda2) 2))
3.9b	(sin (/ (- lambda1 lambda2) 2))
3.9b	(sin (/ (- lambda1 lambda2) 2))

rewrite33.0ms

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:

6.0ms	(sin (/ (- lambda1 lambda2) 2))
6.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))
13.0ms	(sin (/ (- lambda1 lambda2) 2))

series174.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2))
41.0ms	(sin (/ (- lambda1 lambda2) 2))
54.0ms	(sin (/ (- lambda1 lambda2) 2))
44.0ms	(sin (/ (- lambda1 lambda2) 2))

simplify2.0s

Counts

48 → 48

Iterations

Iter	Nodes
done	5001
5	1378
4	468
3	202
2	92
1	55
0	33

prune704.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 22.2b

localize148.0ms

Local error

Found 4 expressions with local error:

3.9b	(sin (/ (- lambda1 lambda2) 2))
3.9b	(sin (/ (- lambda1 lambda2) 2))
3.9b	(sin (/ (- lambda1 lambda2) 2))
7.7b	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

rewrite85.0ms

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))
11.0ms	(sin (/ (- lambda1 lambda2) 2))
6.0ms	(sin (/ (- lambda1 lambda2) 2))
55.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

series160.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(sin (/ (- lambda1 lambda2) 2))
33.0ms	(sin (/ (- lambda1 lambda2) 2))
43.0ms	(sin (/ (- lambda1 lambda2) 2))
35.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

simplify6.6s

Counts

51 → 51

Iterations

Iter	Nodes
done	5001
5	4559
4	906
3	333
2	139
1	82
0	51

prune906.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 22.2b

localize136.0ms

Local error

Found 4 expressions with local error:

3.9b	(sin (/ (- lambda1 lambda2) 2))
3.9b	(sin (/ (- lambda1 lambda2) 2))
3.9b	(sin (/ (- lambda1 lambda2) 2))
7.7b	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (* (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) (cbrt (sin (/ (- lambda1 lambda2) 2))))))

rewrite234.0ms

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` `associate-*l/` `sin-mult`

Counts

4 → 38

Calls

4 calls:

13.0ms	(sin (/ (- lambda1 lambda2) 2))
13.0ms	(sin (/ (- lambda1 lambda2) 2))
13.0ms	(sin (/ (- lambda1 lambda2) 2))
193.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (* (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) (cbrt (sin (/ (- lambda1 lambda2) 2))))))

series139.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(sin (/ (- lambda1 lambda2) 2))
30.0ms	(sin (/ (- lambda1 lambda2) 2))
42.0ms	(sin (/ (- lambda1 lambda2) 2))
36.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (* (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) (cbrt (sin (/ (- lambda1 lambda2) 2))))))

simplify3.2s

Counts

50 → 50

Iterations

Iter	Nodes
done	5002
4	3413
3	546
2	176
1	93
0	54

prune995.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 22.2b

localize104.0ms

Local error

Found 4 expressions with local error:

3.9b	(sin (/ (- lambda1 lambda2) 2))
3.9b	(sin (/ (- lambda1 lambda2) 2))
3.9b	(sin (/ (- lambda1 lambda2) 2))
3.9b	(sin (/ (- lambda1 lambda2) 2))

rewrite37.0ms

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:

6.0ms	(sin (/ (- lambda1 lambda2) 2))
6.0ms	(sin (/ (- lambda1 lambda2) 2))
11.0ms	(sin (/ (- lambda1 lambda2) 2))
13.0ms	(sin (/ (- lambda1 lambda2) 2))

series141.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(sin (/ (- lambda1 lambda2) 2))
33.0ms	(sin (/ (- lambda1 lambda2) 2))
40.0ms	(sin (/ (- lambda1 lambda2) 2))
37.0ms	(sin (/ (- lambda1 lambda2) 2))

simplify2.6s

Counts

48 → 48

Iterations

Iter	Nodes
done	5001
5	1378
4	468
3	202
2	92
1	55
0	33

prune660.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 22.2b

regimes2.7s

Accuracy

0% (0.8b remaining)

Error of 24.7b against oracle of 24.0b and baseline of 24.7b

bsearch0.0ms

simplify16.0ms

Iterations

Iter	Nodes
done	41
1	41
0	32

end0.0ms

sample26.7s

Algorithm

intervals

Results

18.8s	4743×	body	1280	valid
5.5s	1919×	body	640	valid
1.3s	553×	body	320	valid
302.0ms	572×	body	80	valid
288.0ms	215×	body	160	valid