Details

sample221.0ms

Algorithm

intervals

Results

61.0ms	43×	body	640	valid
55.0ms	22×	body	2560	valid
44.0ms	30×	body	1280	valid
29.0ms	133×	body	80	valid
16.0ms	21×	body	320	valid
4.0ms	7×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.0b

localize24.0ms

Local error

Found 3 expressions with local error:

8.4b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.5b	(tan (/ x (* y 2.0)))
28.6b	(sin (/ x (* y 2.0)))

rewrite46.0ms

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` `insert-posit16` `associate-/l` `add-log-exp`
2×	`tan-quot`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv` `associate-/l/`

Counts

3 → 46

Calls

3 calls:

13.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
4.0ms	(tan (/ x (* y 2.0)))
28.0ms	(sin (/ x (* y 2.0)))

series103.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
39.0ms	(tan (/ x (* y 2.0)))
11.0ms	(sin (/ x (* y 2.0)))

simplify527.0ms

Counts

55 → 55

Iterations

Iter	Nodes
done	2054
3	1492
2	409
1	147
0	80

prune304.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 26.0b

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

prune72.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 26.0b

localize44.0ms

Local error

Found 4 expressions with local error:

28.5b	(tan (/ x (* y 2.0)))
28.6b	(sin (/ x (* y 2.0)))
28.6b	(sin (/ x (* y 2.0)))
28.6b	(sin (/ x (* y 2.0)))

rewrite30.0ms

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`
1×	`tan-quot`

Counts

4 → 33

Calls

4 calls:

5.0ms	(tan (/ x (* y 2.0)))
6.0ms	(sin (/ x (* y 2.0)))
11.0ms	(sin (/ x (* y 2.0)))
7.0ms	(sin (/ x (* y 2.0)))

series95.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(tan (/ x (* y 2.0)))
14.0ms	(sin (/ x (* y 2.0)))
13.0ms	(sin (/ x (* y 2.0)))
14.0ms	(sin (/ x (* y 2.0)))

simplify769.0ms

Counts

45 → 45

Iterations

Iter	Nodes
done	2005
4	1601
3	441
2	131
1	59
0	35

prune288.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 25.9b

localize34.0ms

Local error

Found 4 expressions with local error:

28.5b	(tan (/ x (* 2.0 y)))
28.6b	(sin (/ x (* 2.0 y)))
28.6b	(sin (/ x (* 2.0 y)))
28.6b	(sin (/ x (* 2.0 y)))

rewrite20.0ms

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`
1×	`tan-quot`

Counts

4 → 33

Calls

4 calls:

3.0ms	(tan (/ x (* 2.0 y)))
4.0ms	(sin (/ x (* 2.0 y)))
7.0ms	(sin (/ x (* 2.0 y)))
4.0ms	(sin (/ x (* 2.0 y)))

series83.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(tan (/ x (* 2.0 y)))
13.0ms	(sin (/ x (* 2.0 y)))
11.0ms	(sin (/ x (* 2.0 y)))
10.0ms	(sin (/ x (* 2.0 y)))

simplify793.0ms

Counts

45 → 45

Iterations

Iter	Nodes
done	2018
4	1587
3	431
2	132
1	60
0	35

prune235.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 25.9b

regimes590.0ms

Accuracy

40.4% (1.5b remaining)

Error of 27.5b against oracle of 26.0b and baseline of 28.5b

bsearch2.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	17
1	17
0	15

end0.0ms

sample7.6s

Algorithm

intervals

Results

2.6s	1371×	body	1280	valid
1.8s	672×	body	2560	valid
1.4s	4098×	body	80	valid
1.1s	984×	body	640	valid
448.0ms	570×	body	320	valid
146.0ms	305×	body	160	valid