Details

sample288.0ms

Algorithm

intervals

Results

208.0ms	169×	body	1280	valid
40.0ms	55×	body	640	valid
6.0ms	12×	body	320	valid
2.0ms	16×	body	80	valid
1.0ms	4×	body	160	valid

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	26	65
1	56	65
2	100	63
3	177	63
4	376	63
5	697	63
6	1623	63
done	5000	63

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 26.9b

localize41.0ms

Local error

Found 4 expressions with local error:

4.8b	(sin (/ (- lambda1 lambda2) 2.0))
4.8b	(sin (/ (- lambda1 lambda2) 2.0))
4.8b	(sin (/ (- lambda1 lambda2) 2.0))
4.8b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite23.0ms

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:

6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series157.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
41.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify3.7s

Counts

52 → 52

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	34	508
1	59	504
2	100	452
3	179	452
4	394	452
5	901	452
6	3008	452
done	5001	452

prune504.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 26.3b

localize41.0ms

Local error

Found 4 expressions with local error:

4.8b	(sin (/ (- lambda1 lambda2) 2.0))
4.8b	(sin (/ (- lambda1 lambda2) 2.0))
4.8b	(sin (/ (- lambda1 lambda2) 2.0))
4.8b	(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))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series150.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify3.9s

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	3008	452
done	5001	452

prune522.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 26.3b

localize44.0ms

Local error

Found 4 expressions with local error:

4.8b	(sin (/ (- lambda1 lambda2) 2.0))
4.8b	(sin (/ (- lambda1 lambda2) 2.0))
4.8b	(sin (/ (- lambda1 lambda2) 2.0))
4.8b	(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:

6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series152.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify3.6s

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	3008	452
done	5001	452

prune550.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 26.3b

localize49.0ms

Local error

Found 4 expressions with local error:

4.8b	(sin (/ (- lambda1 lambda2) 2.0))
4.8b	(sin (/ (- lambda1 lambda2) 2.0))
4.8b	(sin (/ (- lambda1 lambda2) 2.0))
6.9b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `div-sub` `cube-prod` `sin-diff`
1×	`cube-mult` `pow1/3` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

4 → 53

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
7.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series148.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify2.0s

Counts

65 → 65

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	63	773
1	112	626
2	234	586
3	558	586
4	1929	586
done	5000	586

prune509.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 26.3b

regimes1.0s

Accuracy

0% (0.5b remaining)

Error of 24.6b against oracle of 24.1b and baseline of 24.6b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	67
1	38	67
done	38	67

end0.0ms

sample8.3s

Algorithm

intervals

Results

5.8s	4743×	body	1280	valid
1.7s	1914×	body	640	valid
306.0ms	555×	body	320	valid
82.0ms	595×	body	80	valid
64.0ms	196×	body	160	valid
1.0ms	1×	body	640	nan
0.0ms	1×	body	160	nan