Details

sample593.0ms

Algorithm

intervals

Results

458.0ms	166×	body	1280	valid
71.0ms	54×	body	640	valid
15.0ms	18×	body	320	valid
4.0ms	6×	body	160	valid
3.0ms	12×	body	80	valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1056
4	394
3	189
2	100
1	56
0	26

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.9b

localize140.0ms

Local error

Found 4 expressions with local error:

4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))

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

Counts

4 → 40

Calls

4 calls:

18.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series206.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(sin (/ (- lambda1 lambda2) 2.0))
63.0ms	(sin (/ (- lambda1 lambda2) 2.0))
41.0ms	(sin (/ (- lambda1 lambda2) 2.0))
44.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify3.0s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
5	1702
4	575
3	227
2	102
1	59
0	34

prune886.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 28.1b

localize175.0ms

Local error

Found 4 expressions with local error:

4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))
6.7b	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))

rewrite93.0ms

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` `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 → 43

Calls

4 calls:

9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
17.0ms	(sin (/ (- lambda1 lambda2) 2.0))
17.0ms	(sin (/ (- lambda1 lambda2) 2.0))
49.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))

series202.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(sin (/ (- lambda1 lambda2) 2.0))
52.0ms	(sin (/ (- lambda1 lambda2) 2.0))
44.0ms	(sin (/ (- lambda1 lambda2) 2.0))
44.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))

simplify1.2s

Counts

55 → 55

Iterations

Iter	Nodes
done	5001
4	1086
3	354
2	150
1	87
0	54

prune859.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 28.1b

localize176.0ms

Local error

Found 4 expressions with local error:

4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))
6.7b	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (log1p (expm1 (sin (/ (- lambda1 lambda2) 2.0))))))

rewrite78.0ms

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` `log1p-expm1-u` `add-log-exp`
3×	`div-sub` `sin-diff`
1×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-*l/` `sin-mult`

Counts

4 → 42

Calls

4 calls:

8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
45.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (log1p (expm1 (sin (/ (- lambda1 lambda2) 2.0))))))

series407.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(sin (/ (- lambda1 lambda2) 2.0))
50.0ms	(sin (/ (- lambda1 lambda2) 2.0))
55.0ms	(sin (/ (- lambda1 lambda2) 2.0))
247.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (log1p (expm1 (sin (/ (- lambda1 lambda2) 2.0))))))

simplify2.8s

Counts

54 → 54

Iterations

Iter	Nodes
done	5000
4	3646
3	944
2	326
1	146
0	73

prune1.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 28.0b

localize131.0ms

Local error

Found 4 expressions with local error:

4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite54.0ms

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

Counts

4 → 40

Calls

4 calls:

17.0ms	(sin (/ (- lambda1 lambda2) 2.0))
17.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series216.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(sin (/ (- lambda1 lambda2) 2.0))
55.0ms	(sin (/ (- lambda1 lambda2) 2.0))
66.0ms	(sin (/ (- lambda1 lambda2) 2.0))
50.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify3.1s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
5	1702
4	575
3	227
2	102
1	59
0	34

prune844.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 28.0b

regimes2.2s

Accuracy

0% (0.7b remaining)

Error of 24.8b against oracle of 24.1b and baseline of 24.8b

bsearch0.0ms

simplify17.0ms

Iterations

Iter	Nodes
done	47
1	47
0	37

end0.0ms

sample19.2s

Algorithm

intervals

Results

14.5s	4696×	body	1280	valid
3.2s	1983×	body	640	valid
623.0ms	546×	body	320	valid
182.0ms	585×	body	80	valid
111.0ms	194×	body	160	valid