Details

sample127.0ms

Algorithm

intervals

Results

38.0ms	25×	body	2560	valid
33.0ms	43×	body	1280	valid
13.0ms	29×	body	640	valid
13.0ms	130×	body	80	valid
7.0ms	20×	body	320	valid
2.0ms	9×	body	160	valid

simplify14.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.5b

localize86.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ x (* y 2.0))
7.9b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.7b	(sin (/ x (* y 2.0)))
29.1b	(tan (/ x (* y 2.0)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
11×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/l*`
4×	`pow1` `associate-/r*` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`clear-num` `frac-2neg` `tan-quot` `div-inv`
1×	`prod-exp` `cbrt-unprod` `associate-/l/`

Counts

4 → 68

Calls

4 calls:

16.0ms	(/ x (* y 2.0))
26.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
12.0ms	(sin (/ x (* y 2.0)))
8.0ms	(tan (/ x (* y 2.0)))

series297.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ x (* y 2.0))
125.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
23.0ms	(sin (/ x (* y 2.0)))
117.0ms	(tan (/ x (* y 2.0)))

simplify5.2s

Counts

80 → 80

Iterations

Iter	Nodes
done	5162
3	3985
2	746
1	229
0	121

prune1.3s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 25.6b

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

prune198.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 25.6b

localize220.0ms

Local error

Found 4 expressions with local error:

28.7b	(sin (/ x (* y 2.0)))
29.1b	(tan (/ x (* y 2.0)))
29.1b	(tan (/ x (* y 2.0)))
29.1b	(tan (/ x (* y 2.0)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`
3×	`tan-quot`

Counts

4 → 35

Calls

4 calls:

7.0ms	(sin (/ x (* y 2.0)))
5.0ms	(tan (/ x (* y 2.0)))
5.0ms	(tan (/ x (* y 2.0)))
6.0ms	(tan (/ x (* y 2.0)))

series278.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(sin (/ x (* y 2.0)))
100.0ms	(tan (/ x (* y 2.0)))
94.0ms	(tan (/ x (* y 2.0)))
70.0ms	(tan (/ x (* y 2.0)))

simplify4.3s

Counts

47 → 47

Iterations

Iter	Nodes
done	5000
4	1598
3	441
2	131
1	59
0	35

prune935.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 25.6b

localize213.0ms

Local error

Found 4 expressions with local error:

28.7b	(sin (/ x (* y 2.0)))
29.1b	(tan (/ x (* y 2.0)))
29.1b	(tan (/ x (* y 2.0)))
29.1b	(tan (/ x (* y 2.0)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`
3×	`tan-quot`

Counts

4 → 35

Calls

4 calls:

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

series303.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sin (/ x (* y 2.0)))
104.0ms	(tan (/ x (* y 2.0)))
91.0ms	(tan (/ x (* y 2.0)))
93.0ms	(tan (/ x (* y 2.0)))

simplify4.3s

Counts

47 → 47

Iterations

Iter	Nodes
done	5000
4	1598
3	441
2	131
1	59
0	35

prune562.0ms

Pruning

18 alts after pruning (15 fresh and 3 done)

Merged error: 25.6b

regimes1.8s

Accuracy

0% (3.1b remaining)

Error of 28.4b against oracle of 25.3b and baseline of 28.4b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	1
0	1

end0.0ms

sample6.2s

Algorithm

intervals

Results

2.4s	1391×	body	1280	valid
1.5s	655×	body	2560	valid
770.0ms	4095×	body	80	valid
728.0ms	1009×	body	640	valid
254.0ms	571×	body	320	valid
146.0ms	279×	body	160	valid