Details

sample132.0ms

Algorithm

intervals

Results

38.0ms	41×	body	1280	valid
30.0ms	17×	body	2560	valid
20.0ms	32×	body	640	valid
17.0ms	135×	body	80	valid
7.0ms	18×	body	320	valid
4.0ms	13×	body	160	valid

simplify22.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.9b

localize46.0ms

Local error

Found 3 expressions with local error:

5.7b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.2b	(sin (/ x (* y 2.0)))
27.8b	(tan (/ x (* y 2.0)))

rewrite31.0ms

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:

17.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
9.0ms	(sin (/ x (* y 2.0)))
4.0ms	(tan (/ x (* y 2.0)))

series104.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
10.0ms	(sin (/ x (* y 2.0)))
45.0ms	(tan (/ x (* y 2.0)))

simplify625.0ms

Counts: 52 → 52

prune249.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 24.9b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify14.0ms

Counts: 0 → 0

prune41.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 24.9b

localize18.0ms

Local error

Found 4 expressions with local error:

5.7b	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
27.2b	(sin (/ x (* y 2.0)))
27.2b	(sin (/ x (* y 2.0)))
27.5b	(cos (/ x (* y 2.0)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `associate-/r/` `sin-cos-mult` `cbrt-unprod` `div-inv`

Counts

4 → 43

Calls

4 calls:

44.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
11.0ms	(sin (/ x (* y 2.0)))
5.0ms	(sin (/ x (* y 2.0)))
5.0ms	(cos (/ x (* y 2.0)))

series84.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
14.0ms	(sin (/ x (* y 2.0)))
15.0ms	(sin (/ x (* y 2.0)))
19.0ms	(cos (/ x (* y 2.0)))

simplify1.2s

Counts: 55 → 55

prune172.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 24.9b

localize21.0ms

Local error

Found 4 expressions with local error:

5.7b	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (log (exp (cos (/ x (* y 2.0)))))))
27.2b	(sin (/ x (* y 2.0)))
27.2b	(sin (/ x (* y 2.0)))
27.5b	(cos (/ x (* y 2.0)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 42

Calls

4 calls:

31.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (log (exp (cos (/ x (* y 2.0)))))))
5.0ms	(sin (/ x (* y 2.0)))
5.0ms	(sin (/ x (* y 2.0)))
5.0ms	(cos (/ x (* y 2.0)))

series62.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (log (exp (cos (/ x (* y 2.0)))))))
10.0ms	(sin (/ x (* y 2.0)))
11.0ms	(sin (/ x (* y 2.0)))
18.0ms	(cos (/ x (* y 2.0)))

simplify991.0ms

Counts: 54 → 54

prune216.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 24.9b

regimes497.0ms

Accuracy

36.7% (1.6b remaining)

Error of 28.0b against oracle of 26.4b and baseline of 28.9b

bsearch2.0ms

simplify671.0ms

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.1s	1416×	body	1280	valid
1.3s	602×	body	2560	valid
698.0ms	1024×	body	640	valid
533.0ms	4045×	body	80	valid
356.0ms	600×	body	320	valid
88.0ms	313×	body	160	valid