Details

sample110.0ms

Algorithm

intervals

Results

33.0ms	46×	body	1280	valid
27.0ms	20×	body	2560	valid
15.0ms	130×	body	80	valid
13.0ms	29×	body	640	valid
8.0ms	25×	body	320	valid
1.0ms	6×	body	160	valid

simplify3.0ms

Counts: 1 → 1

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)))

rewrite45.0ms

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:

35.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
5.0ms	(sin (/ x (* y 2.0)))
4.0ms	(tan (/ x (* y 2.0)))

series108.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
10.0ms	(sin (/ x (* y 2.0)))
46.0ms	(tan (/ x (* y 2.0)))

simplify50.0ms

Counts: 52 → 52

prune175.0ms

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

simplify2.0ms

Counts: 0 → 0

prune38.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 26.8b

localize21.0ms

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

series150.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(sin (/ x (* y 2.0)))
47.0ms	(tan (/ x (* y 2.0)))
44.0ms	(tan (/ x (* y 2.0)))
49.0ms	(tan (/ x (* y 2.0)))

simplify47.0ms

Counts: 43 → 43

prune198.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 26.7b

localize25.0ms

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

series151.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(sin (/ x (* y 2.0)))
47.0ms	(tan (/ x (* y 2.0)))
43.0ms	(tan (/ x (* y 2.0)))
50.0ms	(tan (/ x (* y 2.0)))

simplify50.0ms

Counts: 43 → 43

prune176.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 26.7b

regimes344.0ms

Accuracy

0% (2.5b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.5s	1387×	body	1280	valid
1.4s	666×	body	2560	valid
633.0ms	1004×	body	640	valid
450.0ms	4075×	body	80	valid
177.0ms	563×	body	320	valid
70.0ms	305×	body	160	valid