Details

sample140.0ms

Algorithm

intervals

Results

38.0ms	132×	body	80	valid
32.0ms	19×	body	2560	valid
32.0ms	42×	body	1280	valid
17.0ms	35×	body	640	valid
6.0ms	17×	body	320	valid
3.0ms	11×	body	160	valid

simplify2.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.9b

localize11.0ms

Local error

Found 3 expressions with local error:

8.2b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.0b	(sin (/ x (* y 2.0)))
28.8b	(tan (/ x (* y 2.0)))

rewrite32.0ms

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:

18.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
7.0ms	(sin (/ x (* y 2.0)))
5.0ms	(tan (/ x (* y 2.0)))

series143.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
14.0ms	(sin (/ x (* y 2.0)))
70.0ms	(tan (/ x (* y 2.0)))

simplify34.0ms

Counts: 52 → 52

prune230.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 25.9b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Counts: 0 → 0

prune36.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 25.9b

localize19.0ms

Local error

Found 4 expressions with local error:

8.1b	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
28.0b	(sin (/ x (* y 2.0)))
28.0b	(sin (/ x (* y 2.0)))
28.1b	(cos (/ x (* y 2.0)))

rewrite79.0ms

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:

50.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
7.0ms	(sin (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))
12.0ms	(cos (/ x (* y 2.0)))

series80.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
17.0ms	(sin (/ x (* y 2.0)))
13.0ms	(sin (/ x (* y 2.0)))
18.0ms	(cos (/ x (* y 2.0)))

simplify54.0ms

Counts: 55 → 55

prune173.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 25.9b

localize21.0ms

Local error

Found 4 expressions with local error:

8.1b	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (log (exp (cos (/ x (* y 2.0)))))))
28.0b	(sin (/ x (* y 2.0)))
28.0b	(sin (/ x (* y 2.0)))
28.1b	(cos (/ x (* y 2.0)))

rewrite51.0ms

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:

34.0ms	(/ (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)))

series64.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (log (exp (cos (/ x (* y 2.0)))))))
10.0ms	(sin (/ x (* y 2.0)))
10.0ms	(sin (/ x (* y 2.0)))
17.0ms	(cos (/ x (* y 2.0)))

simplify49.0ms

Counts: 54 → 54

prune197.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 25.9b

regimes367.0ms

Accuracy

0% (2.3b remaining)

Error of 28.6b against oracle of 26.3b and baseline of 28.6b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample5.5s

Algorithm

intervals

Results

1.6s	621×	body	2560	valid
1.6s	1446×	body	1280	valid
1.1s	995×	body	640	valid
528.0ms	4072×	body	80	valid
245.0ms	556×	body	320	valid
92.0ms	310×	body	160	valid