Details

sample103.0ms

Algorithm

intervals

Results

29.0ms	41×	body	1280	valid
21.0ms	15×	body	2560	valid
16.0ms	36×	body	640	valid
14.0ms	137×	body	80	valid
5.0ms	17×	body	320	valid
2.0ms	10×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
2	13
1	11
0	8

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.9b

localize17.0ms

Local error

Found 3 expressions with local error:

8.2b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
26.7b	(sin (/ x (* y 2.0)))
27.1b	(tan (/ x (* y 2.0)))

rewrite17.0ms

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:

10.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
4.0ms	(sin (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

series102.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
15.0ms	(sin (/ x (* y 2.0)))
42.0ms	(tan (/ x (* y 2.0)))

simplify1.2s

Counts

52 → 52

Iterations

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

prune326.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 24.6b

localize0.0ms

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

prune59.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 24.6b

localize54.0ms

Local error

Found 4 expressions with local error:

26.7b	(sin (/ x (* y 2.0)))
27.1b	(tan (/ x (* y 2.0)))
27.1b	(tan (/ x (* y 2.0)))
27.1b	(tan (/ x (* y 2.0)))

rewrite12.0ms

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`
3×	`tan-quot`

Counts

4 → 31

Calls

4 calls:

4.0ms	(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)))

series152.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(sin (/ x (* y 2.0)))
44.0ms	(tan (/ x (* y 2.0)))
54.0ms	(tan (/ x (* y 2.0)))
43.0ms	(tan (/ x (* y 2.0)))

simplify1.6s

Counts

43 → 43

Iterations

Iter	Nodes
done	5000
4	2386
3	492
2	131
1	57
0	33

prune367.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 24.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))))
8.2b	(/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0))))
26.7b	(sin (/ x (* y 2.0)))
27.1b	(tan (/ x (* y 2.0)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
55×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
17×	`associate-/r*` `add-exp-log`
11×	`add-cbrt-cube`
8×	`div-exp`
6×	`tan-quot` `associate-/r/` `div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`pow-flip` `inv-pow`

Counts

4 → 123

Calls

4 calls:

32.0ms	(/ 1 (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))))
32.0ms	(/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0))))
4.0ms	(sin (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

series152.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ 1 (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))))
45.0ms	(/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0))))
10.0ms	(sin (/ x (* y 2.0)))
46.0ms	(tan (/ x (* y 2.0)))

simplify1.4s

Counts

135 → 135

Iterations

Iter	Nodes
done	5000
2	2534
1	429
0	180

prune745.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 24.5b

regimes904.0ms

Accuracy

39.7% (1.6b remaining)

Error of 27.5b against oracle of 25.9b and baseline of 28.5b

bsearch2.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	21
1	21
0	20

end0.0ms

sample6.5s

Algorithm

intervals

Results

2.1s	1398×	body	1280	valid
2.1s	664×	body	2560	valid
818.0ms	951×	body	640	valid
702.0ms	4110×	body	80	valid
252.0ms	548×	body	320	valid
161.0ms	329×	body	160	valid