Details

sample1.1s

Algorithm

intervals

Results

497.0ms	140×	body	1280	valid
482.0ms	59×	body	640	valid
33.0ms	23×	body	320	valid
13.0ms	32×	body	80	valid
2.0ms	2×	body	160	valid

simplify3.6s

Counts

1 → 1

Iterations

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

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 21.4b

localize95.0ms

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))

rewrite39.0ms

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:

8.0ms	(sin (/ (- lambda1 lambda2) 2))
12.0ms	(sin (/ (- lambda1 lambda2) 2))
9.0ms	(sin (/ (- lambda1 lambda2) 2))
9.0ms	(sin (/ (- lambda1 lambda2) 2))

series124.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(sin (/ (- lambda1 lambda2) 2))
31.0ms	(sin (/ (- lambda1 lambda2) 2))
31.0ms	(sin (/ (- lambda1 lambda2) 2))
32.0ms	(sin (/ (- lambda1 lambda2) 2))

simplify3.4s

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

14 alts after pruning (14 fresh and 0 done)

Merged error: 21.1b

localize99.0ms

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))

rewrite39.0ms

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:

7.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))
10.0ms	(sin (/ (- lambda1 lambda2) 2))
14.0ms	(sin (/ (- lambda1 lambda2) 2))

series151.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sin (/ (- lambda1 lambda2) 2))
36.0ms	(sin (/ (- lambda1 lambda2) 2))
42.0ms	(sin (/ (- lambda1 lambda2) 2))
36.0ms	(sin (/ (- lambda1 lambda2) 2))

simplify3.7s

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

localize122.0ms

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))

rewrite39.0ms

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:

10.0ms	(sin (/ (- lambda1 lambda2) 2))
14.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))

series193.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(sin (/ (- lambda1 lambda2) 2))
52.0ms	(sin (/ (- lambda1 lambda2) 2))
46.0ms	(sin (/ (- lambda1 lambda2) 2))
35.0ms	(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

prune1.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 21.1b

localize170.0ms

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))))

rewrite70.0ms

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:

7.0ms	(sin (/ (- lambda1 lambda2) 2))
8.0ms	(sin (/ (- lambda1 lambda2) 2))
13.0ms	(sin (/ (- lambda1 lambda2) 2))
41.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

series182.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2))
54.0ms	(sin (/ (- lambda1 lambda2) 2))
50.0ms	(sin (/ (- lambda1 lambda2) 2))
44.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

simplify3.3s

Counts

59 → 59

Iterations

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

prune937.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 21.1b

regimes3.4s

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify14.0ms

Iterations

Iter	Nodes
done	34
1	34
0	26

end0.0ms

sample26.5s

Algorithm

intervals

Results

18.8s	4651×	body	1280	valid
5.8s	1999×	body	640	valid
904.0ms	553×	body	320	valid
375.0ms	607×	body	80	valid
180.0ms	193×	body	160	valid
2.0ms	1×	body	640	nan
1.0ms	1×	body	320	nan