Details

sample649.0ms

Algorithm

intervals

Results

464.0ms	142×	body	1280	valid
114.0ms	62×	body	640	valid
31.0ms	25×	body	320	valid
7.0ms	23×	body	80	valid
5.0ms	5×	body	160	valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3719
5	920
4	448
3	224
2	112
1	58
0	26

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 22.6b

localize121.0ms

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))

rewrite57.0ms

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

series157.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(sin (/ (- lambda1 lambda2) 2))
35.0ms	(sin (/ (- lambda1 lambda2) 2))
30.0ms	(sin (/ (- lambda1 lambda2) 2))
49.0ms	(sin (/ (- lambda1 lambda2) 2))

simplify3.3s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
5	1805
4	594
3	227
2	102
1	59
0	35

prune936.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 22.2b

localize112.0ms

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))

rewrite65.0ms

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:

14.0ms	(sin (/ (- lambda1 lambda2) 2))
22.0ms	(sin (/ (- lambda1 lambda2) 2))
14.0ms	(sin (/ (- lambda1 lambda2) 2))
14.0ms	(sin (/ (- lambda1 lambda2) 2))

series172.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(sin (/ (- lambda1 lambda2) 2))
66.0ms	(sin (/ (- lambda1 lambda2) 2))
35.0ms	(sin (/ (- lambda1 lambda2) 2))
39.0ms	(sin (/ (- lambda1 lambda2) 2))

simplify3.3s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
5	1805
4	594
3	227
2	102
1	59
0	35

prune959.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 22.2b

localize140.0ms

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))))

rewrite88.0ms

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:

12.0ms	(sin (/ (- lambda1 lambda2) 2))
12.0ms	(sin (/ (- lambda1 lambda2) 2))
8.0ms	(sin (/ (- lambda1 lambda2) 2))
54.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

series167.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(sin (/ (- lambda1 lambda2) 2))
39.0ms	(sin (/ (- lambda1 lambda2) 2))
36.0ms	(sin (/ (- lambda1 lambda2) 2))
50.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

simplify1.6s

Counts

59 → 59

Iterations

Iter	Nodes
done	5001
4	1088
3	357
2	151
1	88
0	55

prune1.5s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 22.2b

localize91.0ms

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` `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))

series177.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2))
37.0ms	(sin (/ (- lambda1 lambda2) 2))
51.0ms	(sin (/ (- lambda1 lambda2) 2))
53.0ms	(sin (/ (- lambda1 lambda2) 2))

simplify3.2s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
5	1805
4	594
3	227
2	102
1	59
0	35

prune746.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 22.2b

regimes2.8s

Accuracy

0% (0.6b remaining)

Error of 24.6b against oracle of 24.0b and baseline of 24.6b

bsearch0.0ms

simplify17.0ms

Iterations

Iter	Nodes
done	40
1	40
0	30

end0.0ms

sample27.4s

Algorithm

intervals

Results

20.2s	4743×	body	1280	valid
5.0s	1919×	body	640	valid
1.0s	553×	body	320	valid
319.0ms	572×	body	80	valid
271.0ms	215×	body	160	valid