Details

sample221.0ms

Algorithm

intervals

Results

59.0ms	41×	body	1280	valid
55.0ms	21×	body	2560	valid
45.0ms	30×	body	640	valid
31.0ms	140×	body	80	valid
12.0ms	17×	body	320	valid
4.0ms	7×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.6b

localize57.0ms

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)))

rewrite40.0ms

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×	`expm1-log1p-u` `pow1` `associate-/r` `insert-posit16` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`tan-quot`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv` `associate-/l/`

Counts

3 → 52

Calls

3 calls:

22.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
10.0ms	(sin (/ x (* y 2.0)))
7.0ms	(tan (/ x (* y 2.0)))

series127.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
18.0ms	(sin (/ x (* y 2.0)))
53.0ms	(tan (/ x (* y 2.0)))

simplify1.6s

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
3	1564
2	418
1	155
0	86

prune406.0ms

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

prune72.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 24.8b

localize41.0ms

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)))

rewrite68.0ms

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×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `associate-/r*` `div-exp`
1×	`clear-num` `frac-2neg` `associate-/l/`

Counts

4 → 103

Calls

4 calls:

42.0ms	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
5.0ms	(sin (/ x (* y 2.0)))
10.0ms	(sin (/ x (* y 2.0)))
9.0ms	(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))))
18.0ms	(sin (/ x (* y 2.0)))
12.0ms	(sin (/ x (* y 2.0)))
15.0ms	(cos (/ x (* y 2.0)))

simplify2.2s

Counts

115 → 115

Iterations

Iter	Nodes
done	5000
2	1211
1	397
0	170

prune746.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 24.8b

localize50.0ms

Local error

Found 3 expressions with local error:

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

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×	`expm1-log1p-u` `associate-/r` `insert-posit16` `log1p-expm1-u` `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 → 55

Calls

3 calls:

5.0ms	(/ 1 (cos (/ x (* 2.0 y))))
0.0ms	(posit16->real (real->posit16 (/ 1 (cos (/ x (* 2.0 y))))))
5.0ms	(cos (/ x (* 2.0 y)))

series78.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ 1 (cos (/ x (* 2.0 y))))
23.0ms	(posit16->real (real->posit16 (/ 1 (cos (/ x (* 2.0 y))))))
20.0ms	(cos (/ x (* 2.0 y)))

simplify4.4s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
5	2214
4	1040
3	510
2	262
1	128
0	78

prune666.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 24.6b

regimes894.0ms

Accuracy

29.9% (2.2b remaining)

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

bsearch295.0ms

Steps

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

simplify6.0ms

Iterations

Iter	Nodes
done	21
1	21
0	16

end0.0ms

sample8.2s

Algorithm

intervals

Results

2.4s	1409×	body	1280	valid
1.8s	636×	body	2560	valid
1.6s	4067×	body	80	valid
1.5s	995×	body	640	valid
453.0ms	584×	body	320	valid
182.0ms	309×	body	160	valid