Details

sample170.0ms

Algorithm

intervals

Results

59.0ms	56×	body	1280	valid
42.0ms	22×	body	2560	valid
22.0ms	35×	body	640	valid
15.0ms	115×	body	80	valid
10.0ms	18×	body	320	valid
3.0ms	10×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune44.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.9b

localize37.0ms

Local error

Found 3 expressions with local error:

4.5b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
32.1b	(tan (/ x (* y 2.0)))
32.1b	(sin (/ x (* y 2.0)))

rewrite31.0ms

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:

17.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
5.0ms	(tan (/ x (* y 2.0)))
7.0ms	(sin (/ x (* y 2.0)))

series149.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
75.0ms	(tan (/ x (* y 2.0)))
18.0ms	(sin (/ x (* y 2.0)))

simplify1.3s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
3	1624
2	414
1	144
0	77

prune354.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 29.6b

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

prune83.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 29.6b

localize98.0ms

Local error

Found 4 expressions with local error:

32.1b	(tan (/ x (* y 2.0)))
32.1b	(sin (/ x (* y 2.0)))
32.1b	(sin (/ x (* y 2.0)))
32.1b	(sin (/ x (* y 2.0)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 29

Calls

4 calls:

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

series98.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(tan (/ x (* y 2.0)))
16.0ms	(sin (/ x (* y 2.0)))
19.0ms	(sin (/ x (* y 2.0)))
11.0ms	(sin (/ x (* y 2.0)))

simplify2.3s

Counts

41 → 41

Iterations

Iter	Nodes
done	5000
4	1556
3	441
2	129
1	57
0	33

prune364.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 29.4b

localize57.0ms

Local error

Found 4 expressions with local error:

32.1b	(tan (/ x (* 2.0 y)))
32.1b	(sin (/ x (* 2.0 y)))
32.1b	(sin (/ x (* 2.0 y)))
32.1b	(sin (/ x (* 2.0 y)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 29

Calls

4 calls:

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

series115.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(tan (/ x (* 2.0 y)))
18.0ms	(sin (/ x (* 2.0 y)))
19.0ms	(sin (/ x (* 2.0 y)))
19.0ms	(sin (/ x (* 2.0 y)))

simplify2.4s

Counts

41 → 41

Iterations

Iter	Nodes
done	5001
4	1595
3	444
2	130
1	58
0	33

prune209.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 29.4b

regimes866.0ms

Accuracy

0% (2.4b remaining)

Error of 28.7b against oracle of 26.3b and baseline of 28.7b

bsearch0.0ms

simplify0.0ms

Iterations

Iter	Nodes
done	1
0	1

end0.0ms

sample6.1s

Algorithm

intervals

Results

1.6s	1425×	body	1280	valid
1.5s	656×	body	2560	valid
1.1s	984×	body	640	valid
811.0ms	571×	body	320	valid
702.0ms	4068×	body	80	valid
126.0ms	296×	body	160	valid