Details

sample185.0ms

Algorithm

intervals

Results

55.0ms	50×	body	1280	valid
41.0ms	19×	body	2560	valid
39.0ms	34×	body	640	valid
17.0ms	123×	body	80	valid
8.0ms	16×	body	320	valid
5.0ms	14×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	278
1	11	278
done	11	278

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.2b

localize15.0ms

Local error

Found 3 expressions with local error:

7.2b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
30.3b	(sin (/ x (* y 2.0)))
30.9b	(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:

9.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
4.0ms	(sin (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

series143.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
11.0ms	(sin (/ x (* y 2.0)))
59.0ms	(tan (/ x (* y 2.0)))

simplify1.9s

Counts

52 → 52

Iterations

Useful iterations: 2 (125.0ms)

Iter	Nodes	Cost
0	77	18480
1	144	17003
2	412	16603
3	1605	16603
done	5000	16603

prune404.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 28.4b

localize1.0ms

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

prune77.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 28.4b

localize48.0ms

Local error

Found 4 expressions with local error:

30.3b	(sin (/ x (* y 2.0)))
30.9b	(tan (/ x (* y 2.0)))
30.9b	(tan (/ x (* y 2.0)))
30.9b	(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)))
2.0ms	(tan (/ x (* y 2.0)))
2.0ms	(tan (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

series204.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sin (/ x (* y 2.0)))
60.0ms	(tan (/ x (* y 2.0)))
75.0ms	(tan (/ x (* y 2.0)))
56.0ms	(tan (/ x (* y 2.0)))

simplify3.6s

Counts

43 → 43

Iterations

Useful iterations: 4 (667.0ms)

Iter	Nodes	Cost
0	33	11517
1	57	9951
2	129	9951
3	441	9231
4	1556	8991
done	5001	8991

prune401.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 28.3b

localize57.0ms

Local error

Found 4 expressions with local error:

30.3b	(sin (/ x (* y 2.0)))
30.9b	(tan (/ x (* y 2.0)))
30.9b	(tan (/ x (* y 2.0)))
30.9b	(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)))
2.0ms	(tan (/ x (* y 2.0)))
2.0ms	(tan (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

series182.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(sin (/ x (* y 2.0)))
50.0ms	(tan (/ x (* y 2.0)))
57.0ms	(tan (/ x (* y 2.0)))
57.0ms	(tan (/ x (* y 2.0)))

simplify3.8s

Counts

43 → 43

Iterations

Useful iterations: 4 (612.0ms)

Iter	Nodes	Cost
0	33	11517
1	57	9951
2	129	9951
3	441	9231
4	1556	8991
done	5001	8991

prune290.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 28.3b

regimes625.0ms

Accuracy

0% (2.4b remaining)

Error of 28.8b against oracle of 26.3b and baseline of 28.8b

bsearch0.0ms

simplify0.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
done	1	1

end0.0ms

sample6.3s

Algorithm

intervals

Results

2.1s	1371×	body	1280	valid
1.5s	683×	body	2560	valid
1.2s	4060×	body	80	valid
838.0ms	1019×	body	640	valid
315.0ms	546×	body	320	valid
103.0ms	321×	body	160	valid