Details

sample143.0ms

Algorithm

intervals

Results

46.0ms	56×	body	1280	valid
38.0ms	22×	body	2560	valid
20.0ms	35×	body	640	valid
14.0ms	115×	body	80	valid
7.0ms	18×	body	320	valid
3.0ms	10×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
2	13
1	11
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.9b

localize48.0ms

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)))

rewrite22.0ms

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:

12.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
3.0ms	(tan (/ x (* y 2.0)))
5.0ms	(sin (/ x (* y 2.0)))

series1.2s

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
1.1s	(tan (/ x (* y 2.0)))
14.0ms	(sin (/ x (* y 2.0)))

simplify1.2s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
3	3213
2	494
1	144
0	77

prune369.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 29.6b

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

prune56.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 29.6b

localize63.0ms

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)))

series76.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(tan (/ x (* y 2.0)))
12.0ms	(sin (/ x (* y 2.0)))
12.0ms	(sin (/ x (* y 2.0)))
11.0ms	(sin (/ x (* y 2.0)))

simplify1.4s

Counts

41 → 41

Iterations

Iter	Nodes
done	5000
4	2379
3	492
2	131
1	57
0	33

prune371.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 29.4b

localize31.0ms

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)))

rewrite18.0ms

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:

6.0ms	(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)))

series83.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(tan (/ x (* y 2.0)))
10.0ms	(sin (/ x (* y 2.0)))
10.0ms	(sin (/ x (* y 2.0)))
11.0ms	(sin (/ x (* y 2.0)))

simplify1.6s

Counts

41 → 41

Iterations

Iter	Nodes
done	5000
4	2379
3	492
2	131
1	57
0	33

prune257.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 29.4b

regimes568.0ms

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

sample4.8s

Algorithm

intervals

Results

1.5s	1425×	body	1280	valid
1.3s	656×	body	2560	valid
762.0ms	984×	body	640	valid
680.0ms	4068×	body	80	valid
264.0ms	571×	body	320	valid
129.0ms	296×	body	160	valid