Details

sample141.0ms

Algorithm

intervals

Results

41.0ms	143×	body	80	valid
32.0ms	37×	body	1280	valid
22.0ms	40×	body	640	valid
22.0ms	12×	body	2560	valid
7.0ms	15×	body	320	valid
3.0ms	9×	body	160	valid

simplify17.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.1b

localize12.0ms

Local error

Found 3 expressions with local error:

9.4b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
25.6b	(sin (/ x (* y 2.0)))
25.6b	(tan (/ x (* y 2.0)))

rewrite23.0ms

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:

13.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
5.0ms	(sin (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

series128.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
11.0ms	(sin (/ x (* y 2.0)))
71.0ms	(tan (/ x (* y 2.0)))

simplify665.0ms

Counts: 52 → 52

prune274.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 23.5b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify13.0ms

Counts: 0 → 0

prune39.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 23.5b

localize32.0ms

Local error

Found 4 expressions with local error:

25.6b	(sin (/ x (* y 2.0)))
25.6b	(tan (/ x (* y 2.0)))
25.6b	(tan (/ x (* y 2.0)))
25.6b	(tan (/ x (* y 2.0)))

rewrite27.0ms

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:

8.0ms	(sin (/ x (* y 2.0)))
6.0ms	(tan (/ x (* y 2.0)))
6.0ms	(tan (/ x (* y 2.0)))
6.0ms	(tan (/ x (* y 2.0)))

series174.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(sin (/ x (* y 2.0)))
58.0ms	(tan (/ x (* y 2.0)))
51.0ms	(tan (/ x (* y 2.0)))
48.0ms	(tan (/ x (* y 2.0)))

simplify721.0ms

Counts: 43 → 43

prune222.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 23.4b

localize36.0ms

Local error

Found 4 expressions with local error:

25.6b	(sin (/ x (* y 2.0)))
25.6b	(sin (/ x (* y 2.0)))
25.6b	(tan (/ x (* y 2.0)))
25.6b	(tan (/ x (* y 2.0)))

rewrite31.0ms

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`
2×	`tan-quot`

Counts

4 → 30

Calls

4 calls:

7.0ms	(sin (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))
10.0ms	(tan (/ x (* y 2.0)))
5.0ms	(tan (/ x (* y 2.0)))

series144.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sin (/ x (* y 2.0)))
14.0ms	(sin (/ x (* y 2.0)))
60.0ms	(tan (/ x (* y 2.0)))
56.0ms	(tan (/ x (* y 2.0)))

simplify625.0ms

Counts: 42 → 42

prune261.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 23.4b

regimes317.0ms

Accuracy

0% (2.4b remaining)

Error of 28.3b against oracle of 25.8b and baseline of 28.3b

bsearch0.0ms

simplify12.0ms

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.0s	1415×	body	1280	valid
1.2s	620×	body	2560	valid
724.0ms	4140×	body	80	valid
678.0ms	979×	body	640	valid
402.0ms	562×	body	320	valid
81.0ms	284×	body	160	valid