Details

sample126.0ms

Algorithm

intervals

Results

49.0ms	46×	body	1280	valid
29.0ms	20×	body	2560	valid
13.0ms	29×	body	640	valid
13.0ms	130×	body	80	valid
8.0ms	25×	body	320	valid
2.0ms	6×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	11	13
2	13	13
done	13	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.5b

localize12.0ms

Local error

Found 3 expressions with local error:

7.0b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.5b	(sin (/ x (* y 2.0)))
28.9b	(tan (/ x (* y 2.0)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
2×	`tan-quot`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate-/l/`

Counts

3 → 43

Calls

3 calls:

12.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
5.0ms	(sin (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

series110.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
10.0ms	(sin (/ x (* y 2.0)))
58.0ms	(tan (/ x (* y 2.0)))

simplify1.8s

Counts

52 → 52

Iterations

Useful iterations: 3 (161.0ms)

Iter	Nodes	Cost
0	77	822
1	139	813
2	323	737
3	803	733
4	2504	733
done	5000	733

prune233.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 26.8b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune53.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 26.8b

localize29.0ms

Local error

Found 4 expressions with local error:

28.5b	(sin (/ x (* y 2.0)))
28.9b	(tan (/ x (* y 2.0)))
28.9b	(tan (/ x (* y 2.0)))
28.9b	(tan (/ x (* y 2.0)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`tan-quot`

Counts

4 → 31

Calls

4 calls:

7.0ms	(sin (/ x (* y 2.0)))
5.0ms	(tan (/ x (* y 2.0)))
5.0ms	(tan (/ x (* y 2.0)))
5.0ms	(tan (/ x (* y 2.0)))

series191.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(sin (/ x (* y 2.0)))
59.0ms	(tan (/ x (* y 2.0)))
55.0ms	(tan (/ x (* y 2.0)))
58.0ms	(tan (/ x (* y 2.0)))

simplify1.4s

Counts

43 → 43

Iterations

Useful iterations: 4 (470.0ms)

Iter	Nodes	Cost
0	33	420
1	57	420
2	125	372
3	421	372
4	1827	360
done	5001	360

prune240.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 26.7b

localize29.0ms

Local error

Found 4 expressions with local error:

28.5b	(sin (/ x (* y 2.0)))
28.9b	(tan (/ x (* y 2.0)))
28.9b	(tan (/ x (* y 2.0)))
28.9b	(tan (/ x (* y 2.0)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`tan-quot`

Counts

4 → 31

Calls

4 calls:

5.0ms	(sin (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))
4.0ms	(tan (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

series194.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(sin (/ x (* y 2.0)))
65.0ms	(tan (/ x (* y 2.0)))
68.0ms	(tan (/ x (* y 2.0)))
51.0ms	(tan (/ x (* y 2.0)))

simplify1.7s

Counts

43 → 43

Iterations

Useful iterations: 4 (466.0ms)

Iter	Nodes	Cost
0	33	420
1	57	420
2	125	372
3	421	372
4	1827	360
done	5001	360

prune251.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 26.7b

regimes526.0ms

Accuracy

0% (2.5b remaining)

Error of 28.8b against oracle of 26.3b and baseline of 28.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
done	1	1

end0.0ms

sample7.0s

Algorithm

intervals

Results

2.8s	1387×	body	1280	valid
1.7s	666×	body	2560	valid
873.0ms	4075×	body	80	valid
790.0ms	1004×	body	640	valid
327.0ms	563×	body	320	valid
113.0ms	305×	body	160	valid