Details

sample263.0ms

Algorithm

intervals

Results

168.0ms	145×	body	1280	valid
55.0ms	63×	body	640	valid
10.0ms	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 (11.0ms)

Iter	Nodes	Cost
0	26	65
1	56	65
2	100	63
3	178	63
4	378	63
5	715	63
6	2084	63
done	5000	63

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 21.3b

localize32.0ms

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))

series141.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify4.1s

Counts

52 → 52

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	34	508
1	59	504
2	100	452
3	198	452
4	457	452
5	1232	452
6	4303	452
done	5000	452

prune442.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 20.9b

localize39.0ms

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))))

rewrite34.0ms

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:

7.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
15.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

series141.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

simplify884.0ms

Counts

60 → 60

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	62	628
1	98	585
2	165	526
3	307	526
4	661	526
5	1875	526
done	5000	526

prune503.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 20.9b

localize48.0ms

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))))))

rewrite18.0ms

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

series200.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
92.0ms	(log (exp (expm1 (log1p (sin (/ (- lambda1 lambda2) 2.0))))))

simplify1.1s

Counts

60 → 60

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	70	663
1	109	576
2	183	517
3	353	517
4	805	517
5	2141	517
done	5001	517

prune568.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 20.9b

localize32.0ms

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))

rewrite21.0ms

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))
5.0ms	(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:

34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify3.9s

Counts

52 → 52

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	34	508
1	59	504
2	100	452
3	198	452
4	457	452
5	1232	452
6	4303	452
done	5000	452

prune363.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 20.8b

regimes1.0s

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

sample8.1s

Algorithm

intervals

Results

5.8s	4663×	body	1280	valid
1.5s	1959×	body	640	valid
293.0ms	566×	body	320	valid
93.0ms	604×	body	80	valid
69.0ms	211×	body	160	valid
1.0ms	2×	body	640	nan