Details

sample123.0ms

Algorithm

intervals

Results

37.0ms	50×	body	1280	valid
37.0ms	25×	body	2560	valid
18.0ms	40×	body	640	valid
13.0ms	122×	body	80	valid
4.0ms	12×	body	320	valid
2.0ms	7×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
2	13
1	11
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.2b

localize41.0ms

Local error

Found 3 expressions with local error:

6.1b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
30.3b	(sin (/ x (* y 2.0)))
31.1b	(tan (/ x (* y 2.0)))

rewrite16.0ms

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:

8.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
4.0ms	(sin (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

series124.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
22.0ms	(sin (/ x (* y 2.0)))
51.0ms	(tan (/ x (* y 2.0)))

simplify1.2s

Counts

52 → 52

Iterations

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

prune332.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 28.5b

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

prune41.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 28.5b

localize43.0ms

Local error

Found 4 expressions with local error:

30.3b	(sin (/ x (* y 2.0)))
31.1b	(tan (/ x (* y 2.0)))
31.1b	(tan (/ x (* y 2.0)))
31.1b	(tan (/ x (* y 2.0)))

rewrite11.0ms

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

series167.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sin (/ x (* y 2.0)))
57.0ms	(tan (/ x (* y 2.0)))
49.0ms	(tan (/ x (* y 2.0)))
46.0ms	(tan (/ x (* y 2.0)))

simplify1.5s

Counts

43 → 43

Iterations

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

prune341.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 28.4b

localize78.0ms

Local error

Found 4 expressions with local error:

30.3b	(sin (/ x (* y 2.0)))
30.9b	(cos (/ x (* y 2.0)))
31.1b	(tan (/ x (* y 2.0)))
31.1b	(tan (/ x (* y 2.0)))

rewrite17.0ms

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`
2×	`tan-quot`

Counts

4 → 30

Calls

4 calls:

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

series130.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(sin (/ x (* y 2.0)))
17.0ms	(cos (/ x (* y 2.0)))
43.0ms	(tan (/ x (* y 2.0)))
54.0ms	(tan (/ x (* y 2.0)))

simplify1.1s

Counts

42 → 42

Iterations

Iter	Nodes
done	5001
3	1970
2	269
1	83
0	48

prune295.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 28.2b

regimes490.0ms

Accuracy

0% (2.7b remaining)

Error of 28.4b against oracle of 25.7b and baseline of 28.4b

bsearch0.0ms

simplify0.0ms

Iterations

Iter	Nodes
done	1
0	1

end0.0ms

sample5.4s

Algorithm

intervals

Results

1.7s	653×	body	2560	valid
1.5s	1317×	body	1280	valid
1.1s	1035×	body	640	valid
576.0ms	4130×	body	80	valid
270.0ms	572×	body	320	valid
120.0ms	293×	body	160	valid