Details

sample155.0ms

Algorithm

intervals

Results

43.0ms	47×	body	1280	valid
34.0ms	18×	body	2560	valid
20.0ms	17×	body	160	valid
17.0ms	127×	body	80	valid
15.0ms	24×	body	640	valid
10.0ms	23×	body	320	valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	11	13
2	13	13
done	13	13

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.0b

localize17.0ms

Local error

Found 3 expressions with local error:

4.8b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.6b	(sin (/ x (* y 2.0)))
29.3b	(tan (/ x (* y 2.0)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
2×	`tan-quot`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate-/l/`

Counts

3 → 43

Calls

3 calls:

15.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
6.0ms	(sin (/ x (* y 2.0)))
5.0ms	(tan (/ x (* y 2.0)))

series115.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
11.0ms	(sin (/ x (* y 2.0)))
61.0ms	(tan (/ x (* y 2.0)))

simplify1.2s

Counts

52 → 52

Iterations

Useful iterations: 3 (379.0ms)

Iter	Nodes	Cost
0	77	822
1	144	813
2	491	739
3	3059	737
done	5000	737

prune226.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 27.0b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune35.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 27.0b

localize28.0ms

Local error

Found 4 expressions with local error:

28.6b	(sin (/ x (* y 2.0)))
29.3b	(tan (/ x (* y 2.0)))
29.3b	(tan (/ x (* y 2.0)))
29.3b	(tan (/ x (* y 2.0)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 31

Calls

4 calls:

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

series185.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(sin (/ x (* y 2.0)))
50.0ms	(tan (/ x (* y 2.0)))
64.0ms	(tan (/ x (* y 2.0)))
61.0ms	(tan (/ x (* y 2.0)))

simplify1.6s

Counts

43 → 43

Iterations

Useful iterations: 4 (592.0ms)

Iter	Nodes	Cost
0	33	420
1	57	420
2	131	372
3	490	372
4	2440	360
done	5000	360

prune293.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 26.9b

localize43.0ms

Local error

Found 4 expressions with local error:

28.6b	(sin (/ x (* y 2.0)))
29.3b	(tan (/ x (* y 2.0)))
29.3b	(tan (/ x (* y 2.0)))
29.3b	(tan (/ x (* y 2.0)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 31

Calls

4 calls:

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

series234.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(sin (/ x (* y 2.0)))
119.0ms	(tan (/ x (* y 2.0)))
53.0ms	(tan (/ x (* y 2.0)))
45.0ms	(tan (/ x (* y 2.0)))

simplify1.9s

Counts

43 → 43

Iterations

Useful iterations: 4 (598.0ms)

Iter	Nodes	Cost
0	33	420
1	57	420
2	131	372
3	490	372
4	2440	360
done	5000	360

prune231.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 26.9b

regimes451.0ms

Accuracy

0% (2.4b remaining)

Error of 28.4b against oracle of 25.9b and baseline of 28.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
done	1	1

end0.0ms

sample5.4s

Algorithm

intervals

Results

1.5s	976×	body	640	valid
1.4s	1449×	body	1280	valid
1.1s	623×	body	2560	valid
710.0ms	4127×	body	80	valid
261.0ms	553×	body	320	valid
77.0ms	272×	body	160	valid