Details

sample260.0ms

Algorithm

intervals

Results

173.0ms	145×	body	1280	valid
47.0ms	63×	body	640	valid
9.0ms	19×	body	320	valid
4.0ms	13×	body	160	valid
2.0ms	16×	body	80	valid

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	26	65
1	56	65
2	100	63
3	177	63
4	373	63
5	673	63
6	1607	63
done	5000	63

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 21.3b

localize35.0ms

Local error

Found 4 expressions with local error:

3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `div-sub` `sin-diff` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series145.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify2.7s

Counts

52 → 52

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	34	508
1	59	504
2	100	452
3	179	452
4	394	452
5	901	452
6	2983	452
done	5001	452

prune466.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 20.9b

localize42.0ms

Local error

Found 4 expressions with local error:

3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `div-sub` `log-pow` `sin-diff` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `exp-prod`
1×	`log-div` `exp-diff` `rem-log-exp`

Counts

4 → 48

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
18.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

series150.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

simplify3.1s

Counts

60 → 60

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	62	628
1	98	585
2	159	526
3	272	526
4	574	526
5	1344	526
6	4406	526
done	5000	526

prune542.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 20.9b

localize47.0ms

Local error

Found 4 expressions with local error:

3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(log (exp (expm1 (log1p (sin (/ (- lambda1 lambda2) 2.0))))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `log-pow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `exp-prod` `div-sub` `sin-diff`
1×	`log-div` `exp-diff` `rem-log-exp` `expm1-udef`

Counts

4 → 48

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
1.0ms	(log (exp (expm1 (log1p (sin (/ (- lambda1 lambda2) 2.0))))))

series204.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
96.0ms	(log (exp (expm1 (log1p (sin (/ (- lambda1 lambda2) 2.0))))))

simplify1.1s

Counts

60 → 60

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	70	663
1	109	576
2	179	517
3	329	517
4	734	517
5	1728	517
done	5000	517

prune591.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 20.9b

localize35.0ms

Local error

Found 4 expressions with local error:

3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `div-sub` `sin-diff` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series148.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify2.8s

Counts

52 → 52

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	34	508
1	59	504
2	100	452
3	179	452
4	394	452
5	901	452
6	2983	452
done	5001	452

prune380.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 20.8b

regimes1.1s

Accuracy

0% (0.5b remaining)

Error of 24.3b against oracle of 23.8b and baseline of 24.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	63
1	28	63
done	28	63

end0.0ms

sample7.9s

Algorithm

intervals

Results

5.7s	4663×	body	1280	valid
1.5s	1959×	body	640	valid
285.0ms	566×	body	320	valid
89.0ms	604×	body	80	valid
68.0ms	211×	body	160	valid
1.0ms	2×	body	640	nan