Details

sample587.0ms

Algorithm

intervals

Results

370.0ms	140×	body	1280	valid
143.0ms	59×	body	640	valid
21.0ms	23×	body	320	valid
8.0ms	32×	body	80	valid
8.0ms	2×	body	160	valid

simplify3.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	2642
6	985
5	580
4	386
3	195
2	107
1	58
0	26

prune39.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 21.4b

localize97.0ms

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))

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

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

series218.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(sin (/ (- lambda1 lambda2) 2))
53.0ms	(sin (/ (- lambda1 lambda2) 2))
52.0ms	(sin (/ (- lambda1 lambda2) 2))
56.0ms	(sin (/ (- lambda1 lambda2) 2))

simplify3.3s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
6	2187
5	826
4	394
3	188
2	101
1	59
0	35

prune911.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 21.1b

localize103.0ms

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))

rewrite43.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

11.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))
11.0ms	(sin (/ (- lambda1 lambda2) 2))
13.0ms	(sin (/ (- lambda1 lambda2) 2))

series151.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2))
40.0ms	(sin (/ (- lambda1 lambda2) 2))
42.0ms	(sin (/ (- lambda1 lambda2) 2))
31.0ms	(sin (/ (- lambda1 lambda2) 2))

simplify3.5s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
6	2187
5	826
4	394
3	188
2	101
1	59
0	35

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 21.1b

localize141.0ms

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))

rewrite33.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

12.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))

series213.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(sin (/ (- lambda1 lambda2) 2))
52.0ms	(sin (/ (- lambda1 lambda2) 2))
49.0ms	(sin (/ (- lambda1 lambda2) 2))
57.0ms	(sin (/ (- lambda1 lambda2) 2))

simplify3.6s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
6	2187
5	826
4	394
3	188
2	101
1	59
0	35

prune1.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 21.1b

localize196.0ms

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))))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `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 → 47

Calls

4 calls:

14.0ms	(sin (/ (- lambda1 lambda2) 2))
14.0ms	(sin (/ (- lambda1 lambda2) 2))
13.0ms	(sin (/ (- lambda1 lambda2) 2))
72.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

series145.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2))
38.0ms	(sin (/ (- lambda1 lambda2) 2))
36.0ms	(sin (/ (- lambda1 lambda2) 2))
35.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

simplify2.6s

Counts

59 → 59

Iterations

Iter	Nodes
done	5002
6	1917
5	927
4	547
3	273
2	145
1	86
0	55

prune854.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 21.1b

regimes3.2s

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	34
1	34
0	26

end0.0ms

sample20.6s

Algorithm

intervals

Results

14.9s	4651×	body	1280	valid
3.9s	1999×	body	640	valid
677.0ms	553×	body	320	valid
450.0ms	607×	body	80	valid
182.0ms	193×	body	160	valid
1.0ms	1×	body	320	nan
1.0ms	1×	body	640	nan