Details

sample120.0ms

Algorithm

intervals

Results

40.0ms	53×	body	1280	valid
27.0ms	20×	body	2560	valid
15.0ms	137×	body	80	valid
12.0ms	23×	body	640	valid
6.0ms	16×	body	320	valid
2.0ms	7×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
2	13
1	11
0	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.3b

localize26.0ms

Local error

Found 3 expressions with local error:

8.2b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
26.5b	(sin (/ x (* y 2.0)))
27.0b	(tan (/ x (* y 2.0)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

22.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
37.0ms	(sin (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

series124.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
12.0ms	(sin (/ x (* y 2.0)))
49.0ms	(tan (/ x (* y 2.0)))

simplify1.4s

Counts

52 → 52

Iterations

Iter	Nodes
done	5002
3	3170
2	494
1	144
0	77

prune405.0ms

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

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune93.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 24.9b

localize33.0ms

Local error

Found 4 expressions with local error:

8.2b	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
26.5b	(sin (/ x (* y 2.0)))
26.5b	(sin (/ x (* y 2.0)))
26.9b	(cos (/ x (* y 2.0)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 43

Calls

4 calls:

32.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
6.0ms	(sin (/ x (* y 2.0)))
6.0ms	(sin (/ x (* y 2.0)))
6.0ms	(cos (/ x (* y 2.0)))

series96.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
17.0ms	(sin (/ x (* y 2.0)))
17.0ms	(sin (/ x (* y 2.0)))
22.0ms	(cos (/ x (* y 2.0)))

simplify2.2s

Counts

55 → 55

Iterations

Iter	Nodes
done	5001
3	3679
2	483
1	145
0	71

prune386.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 24.9b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ 1 (cos (/ x (* 2.0 y))))
26.9b	(cos (/ x (* 2.0 y)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 38

Calls

2 calls:

4.0ms	(/ 1 (cos (/ x (* 2.0 y))))
6.0ms	(cos (/ x (* 2.0 y)))

series37.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ 1 (cos (/ x (* 2.0 y))))
13.0ms	(cos (/ x (* 2.0 y)))

simplify3.6s

Counts

44 → 44

Iterations

Iter	Nodes
done	5000
3	2866
2	457
1	111
0	61

prune164.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 24.8b

regimes642.0ms

Accuracy

0% (2.4b remaining)

Error of 28.4b against oracle of 26.0b and baseline of 28.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample5.5s

Algorithm

intervals

Results

1.6s	645×	body	2560	valid
1.4s	1429×	body	1280	valid
798.0ms	971×	body	640	valid
701.0ms	4118×	body	80	valid
602.0ms	559×	body	320	valid
82.0ms	278×	body	160	valid