Details

sample142.0ms

Algorithm

intervals

Results

55.0ms	41×	body	1280	valid
36.0ms	21×	body	2560	valid
16.0ms	140×	body	80	valid
16.0ms	30×	body	640	valid
7.0ms	17×	body	320	valid
2.0ms	7×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.6b

localize18.0ms

Local error

Found 3 expressions with local error:

7.2b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
26.5b	(sin (/ x (* y 2.0)))
26.8b	(tan (/ x (* y 2.0)))

rewrite19.0ms

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` `insert-posit16` `associate-/l` `add-log-exp`
2×	`tan-quot`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv` `associate-/l/`

Counts

3 → 46

Calls

3 calls:

10.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
5.0ms	(sin (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

series100.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
11.0ms	(sin (/ x (* y 2.0)))
49.0ms	(tan (/ x (* y 2.0)))

simplify1.2s

Counts

55 → 55

Iterations

Iter	Nodes
done	5001
3	1506
2	411
1	147
0	80

prune316.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 24.8b

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

prune39.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 24.8b

localize25.0ms

Local error

Found 4 expressions with local error:

7.2b	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
26.5b	(sin (/ x (* y 2.0)))
26.5b	(sin (/ x (* y 2.0)))
26.8b	(cos (/ x (* y 2.0)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
46×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`associate-/l*`
9×	`add-cbrt-cube` `add-exp-log`
5×	`div-inv`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `associate-/r*` `div-exp`
1×	`clear-num` `frac-2neg` `associate-/l/`

Counts

4 → 95

Calls

4 calls:

31.0ms	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
5.0ms	(sin (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))
5.0ms	(cos (/ x (* y 2.0)))

series78.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
14.0ms	(sin (/ x (* y 2.0)))
14.0ms	(sin (/ x (* y 2.0)))
18.0ms	(cos (/ x (* y 2.0)))

simplify3.0s

Counts

107 → 107

Iterations

Iter	Nodes
done	5045
3	4255
2	1137
1	388
0	164

prune585.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 24.8b

localize45.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1 (cos (/ (/ x y) 2.0)))
17.8b	(posit16->real (real->posit16 (/ 1 (cos (/ (/ x y) 2.0)))))
26.8b	(cos (/ (/ x y) 2.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-exp-log`
5×	`add-cbrt-cube`
4×	`pow1`
3×	`associate-/r` `insert-posit16` `associate-/l` `add-log-exp`
2×	`div-exp`
1×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `1-exp` `div-inv` `remove-posit16` `pow-flip` `inv-pow`

Counts

3 → 49

Calls

3 calls:

4.0ms	(/ 1 (cos (/ (/ x y) 2.0)))
0.0ms	(posit16->real (real->posit16 (/ 1 (cos (/ (/ x y) 2.0)))))
4.0ms	(cos (/ (/ x y) 2.0))

series56.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(/ 1 (cos (/ (/ x y) 2.0)))
23.0ms	(posit16->real (real->posit16 (/ 1 (cos (/ (/ x y) 2.0)))))
13.0ms	(cos (/ (/ x y) 2.0))

simplify3.8s

Counts

58 → 58

Iterations

Iter	Nodes
done	5001
5	1835
4	885
3	473
2	253
1	120
0	72

prune438.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 24.6b

regimes727.0ms

Accuracy

30% (2.2b remaining)

Error of 28.4b against oracle of 26.2b and baseline of 29.3b

bsearch148.0ms

Steps

Iters	Range		Point
10	1.9003459038378059e+226	5.785986191432312e+237	5.725300019950944e+237
2	0.0	3.515619681515683e-309	4.3945246018946e-310

simplify3.0ms

Iterations

Iter	Nodes
done	21
1	21
0	16

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.2s	1409×	body	1280	valid
1.3s	636×	body	2560	valid
731.0ms	4067×	body	80	valid
708.0ms	995×	body	640	valid
277.0ms	584×	body	320	valid
95.0ms	309×	body	160	valid