Details

sample148.0ms

Algorithm

intervals

Results

46.0ms	25×	body	2560	valid
42.0ms	43×	body	1280	valid
18.0ms	29×	body	640	valid
16.0ms	130×	body	80	valid
9.0ms	20×	body	320	valid
3.0ms	9×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune40.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.1b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ x (* y 2.0))
7.9b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.7b	(sin (/ x (* y 2.0)))
29.1b	(tan (/ x (* y 2.0)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
11×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/l*`
4×	`pow1` `associate-/r*` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`clear-num` `frac-2neg` `tan-quot` `div-inv`
1×	`prod-exp` `cbrt-unprod` `associate-/l/`

Counts

4 → 68

Calls

4 calls:

7.0ms	(/ x (* y 2.0))
21.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
10.0ms	(sin (/ x (* y 2.0)))
6.0ms	(tan (/ x (* y 2.0)))

series155.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ x (* y 2.0))
52.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
11.0ms	(sin (/ x (* y 2.0)))
71.0ms	(tan (/ x (* y 2.0)))

simplify2.2s

Counts

80 → 80

Iterations

Iter	Nodes
done	5120
3	4023
2	745
1	227
0	121

prune550.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 25.6b

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

prune118.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 25.6b

localize47.0ms

Local error

Found 4 expressions with local error:

28.7b	(sin (/ x (* y 2.0)))
29.1b	(tan (/ x (* y 2.0)))
29.1b	(tan (/ x (* y 2.0)))
29.1b	(tan (/ x (* y 2.0)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`
3×	`tan-quot`

Counts

4 → 35

Calls

4 calls:

9.0ms	(sin (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

series172.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(sin (/ x (* y 2.0)))
51.0ms	(tan (/ x (* y 2.0)))
59.0ms	(tan (/ x (* y 2.0)))
45.0ms	(tan (/ x (* y 2.0)))

simplify1.9s

Counts

47 → 47

Iterations

Iter	Nodes
done	5006
4	1601
3	441
2	131
1	59
0	35

prune506.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 25.6b

localize100.0ms

Local error

Found 4 expressions with local error:

28.7b	(sin (/ x (* y 2.0)))
29.1b	(tan (/ x (* y 2.0)))
29.1b	(tan (/ x (* y 2.0)))
29.1b	(tan (/ x (* y 2.0)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`
3×	`tan-quot`

Counts

4 → 35

Calls

4 calls:

5.0ms	(sin (/ x (* y 2.0)))
3.0ms	(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:

13.0ms	(sin (/ x (* y 2.0)))
42.0ms	(tan (/ x (* y 2.0)))
46.0ms	(tan (/ x (* y 2.0)))
50.0ms	(tan (/ x (* y 2.0)))

simplify1.9s

Counts

47 → 47

Iterations

Iter	Nodes
done	5006
4	1601
3	441
2	131
1	59
0	35

prune258.0ms

Pruning

19 alts after pruning (16 fresh and 3 done)

Merged error: 25.6b

regimes702.0ms

Accuracy

0% (3.2b remaining)

Error of 28.4b against oracle of 25.3b and baseline of 28.4b

bsearch0.0ms

simplify0.0ms

Iterations

Iter	Nodes
done	1
0	1

end0.0ms

sample5.4s

Algorithm

intervals

Results

1.6s	655×	body	2560	valid
1.4s	1391×	body	1280	valid
736.0ms	571×	body	320	valid
733.0ms	1009×	body	640	valid
672.0ms	4095×	body	80	valid
87.0ms	279×	body	160	valid