Details

sample44.0ms

Algorithm: halfpoints

simplify18.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	11
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize59.0ms

Local error

Found 2 expressions with local error:

0.2b	(/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>))
0.6b	(-.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> x))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

15×	`p16-lft-identity-expand` `p16--un-lft-identity`
14×	`*p16-rgt-identity-expand`
9×	`p16-times-frac`
6×	`introduce-quire`
5×	`/p16-rgt-identity-expand`
4×	`+p16-lft-identity-expand` `-p16-rgt-identity-expand` `+p16-rgt-identity-expand` `distribute-lft-out--`
3×	`associate-/r` `insert-quire-fdp-sub` `associate-/l`
2×	`distribute-rgt-out--` `associate--l+` `associate-/r/` `associate--r+`
1×	`associate--l-` `insert-quire-sub` `sub-neg` `p16-flip--` `associate--r-` `associate-/l/`

Counts

2 → 51

Calls

2 calls:

7.0ms	(/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>))
23.0ms	(-.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> x))

series0.0ms

Counts

2 → 2

Calls

2 calls:

0.0ms	(/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>))
0.0ms	(-.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> x))

simplify1.5s

Counts

53 → 53

Iterations

Iter	Nodes
done	5004
3	1213
2	225
1	51
0	30

prune195.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.6b

localize123.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.p16 (/.p16 #<cpointer:posit16> x) (/.p16 #<cpointer:posit16> x))
0.3b	(*.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)))
0.5b	(-.p16 (.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>))) (.p16 (/.p16 #<cpointer:posit16> x) (/.p16 #<cpointer:posit16> x)))
0.8b	(/.p16 (-.p16 (.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>))) (.p16 (/.p16 #<cpointer:posit16> x) (/.p16 #<cpointer:posit16> x))) (+.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> x)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

79×	`p16-lft-identity-expand` `p16--un-lft-identity`
70×	`p16-times-frac`
54×	`*p16-rgt-identity-expand`
20×	`p16-distribute-lft-out` `distribute-lft-out`
16×	`associate-r` `associate-l`
15×	`difference-of-squares`
14×	`+p16-lft-identity-expand` `+p16-rgt-identity-expand`
13×	`associate-/r*` `/p16-rgt-identity-expand`
10×	`distribute-rgt-out`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-/r/`
6×	`introduce-quire` `-p16-rgt-identity-expand` `associate--l+` `associate--r+`
4×	`associate-/l*`
2×	`associate-l/` `associate-r/` `p16-flip--` `*-commutative` `associate-/l/`
1×	`associate--l-` `insert-quire-sub` `sub-neg` `insert-quire-fdp-sub` `associate--r-`

Counts

4 → 169

Calls

4 calls:

7.0ms	(*.p16 (/.p16 #<cpointer:posit16> x) (/.p16 #<cpointer:posit16> x))
12.0ms	(*.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)))
8.0ms	(-.p16 (.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>))) (.p16 (/.p16 #<cpointer:posit16> x) (/.p16 #<cpointer:posit16> x)))
62.0ms	(/.p16 (-.p16 (.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>))) (.p16 (/.p16 #<cpointer:posit16> x) (/.p16 #<cpointer:posit16> x))) (+.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> x)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(*.p16 (/.p16 #<cpointer:posit16> x) (/.p16 #<cpointer:posit16> x))
0.0ms	(*.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)))
0.0ms	(-.p16 (.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>))) (.p16 (/.p16 #<cpointer:posit16> x) (/.p16 #<cpointer:posit16> x)))
0.0ms	(/.p16 (-.p16 (.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>))) (.p16 (/.p16 #<cpointer:posit16> x) (/.p16 #<cpointer:posit16> x))) (+.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> x)))

simplify2.4s

Counts

173 → 173

Iterations

Iter	Nodes
done	5000
2	843
1	164
0	66

prune595.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.4b

localize143.0ms

Local error

Found 4 expressions with local error:

0.3b	(+.p16 (/.p16 #<cpointer:posit16> x) (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)))
0.3b	(+.p16 (/.p16 #<cpointer:posit16> x) (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)))
0.6b	(-.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> x))
0.9b	(.p16 (.p16 (-.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> x)) (+.p16 (/.p16 #<cpointer:posit16> x) (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)))) (/.p16 (real->posit16 1.0) (+.p16 (/.p16 #<cpointer:posit16> x) (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)))))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

80×	`p16-lft-identity-expand` `p16--un-lft-identity`
57×	`p16-times-frac`
54×	`*p16-rgt-identity-expand`
43×	`associate-r`
36×	`introduce-quire`
26×	`insert-quire-fdp-add`
20×	`p16-distribute-lft-out` `distribute-lft-out`
16×	`/p16-rgt-identity-expand`
12×	`+p16-lft-identity-expand` `+p16-rgt-identity-expand`
10×	`distribute-rgt-out` `-p16-rgt-identity-expand`
9×	`associate-/r/`
6×	`associate-*l/`
4×	`associate-+l+` `associate-+r+` `distribute-lft-out--`
3×	`insert-quire-fdp-sub`
2×	`distribute-rgt-in` `+-commutative` `associate-+r-` `insert-quire-add` `distribute-lft-in` `distribute-rgt-out--` `associate--l+` `associate-*r/` `p16-flip--` `associate-+l-` `associate--r+`
1×	`associate--l-` `insert-quire-sub` `sub-neg` `associate-l` `*-commutative` `associate--r-`

Counts

4 → 166

Calls

4 calls:

31.0ms	(+.p16 (/.p16 #<cpointer:posit16> x) (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)))
30.0ms	(+.p16 (/.p16 #<cpointer:posit16> x) (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)))
24.0ms	(-.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> x))
35.0ms	(.p16 (.p16 (-.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> x)) (+.p16 (/.p16 #<cpointer:posit16> x) (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)))) (/.p16 (real->posit16 1.0) (+.p16 (/.p16 #<cpointer:posit16> x) (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(+.p16 (/.p16 #<cpointer:posit16> x) (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)))
0.0ms	(+.p16 (/.p16 #<cpointer:posit16> x) (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)))
0.0ms	(-.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> x))
0.0ms	(.p16 (.p16 (-.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> x)) (+.p16 (/.p16 #<cpointer:posit16> x) (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)))) (/.p16 (real->posit16 1.0) (+.p16 (/.p16 #<cpointer:posit16> x) (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)))))

simplify2.7s

Counts

170 → 170

Iterations

Iter	Nodes
done	5010
2	712
1	120
0	51

prune641.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.4b

localize117.0ms

Local error

Found 4 expressions with local error:

0.3b	(+.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> x))
0.3b	(+.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> x))
0.6b	(-.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> x))
0.8b	(/.p16 (+.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> x)) (-.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> x)))

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

187×	`p16-lft-identity-expand` `p16--un-lft-identity`
117×	`p16-times-frac`
112×	`*p16-rgt-identity-expand`
60×	`distribute-lft-out--`
48×	`p16-distribute-lft-out` `distribute-lft-out`
33×	`/p16-rgt-identity-expand`
30×	`distribute-rgt-out--`
29×	`associate-/r/`
24×	`distribute-rgt-out`
16×	`introduce-quire`
13×	`associate-/l*`
10×	`+p16-lft-identity-expand` `-p16-rgt-identity-expand` `+p16-rgt-identity-expand`
9×	`associate-/r*`
6×	`insert-quire-fdp-add`
4×	`associate-+l+` `associate-+r+`
3×	`insert-quire-fdp-sub`
2×	`+-commutative` `associate-+r-` `insert-quire-add` `associate--l+` `p16-flip--` `associate-+l-` `associate--r+`
1×	`associate--l-` `insert-quire-sub` `sub-neg` `associate--r-` `associate-/l/`

Counts

4 → 234

Calls

4 calls:

30.0ms	(+.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> x))
30.0ms	(+.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> x))
23.0ms	(-.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> x))
95.0ms	(/.p16 (+.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> x)) (-.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> x)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(+.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> x))
0.0ms	(+.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> x))
0.0ms	(-.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> x))
0.0ms	(/.p16 (+.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> x)) (-.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> x)))

simplify4.9s

Counts

238 → 238

Iterations

Iter	Nodes
done	5019
4	2173
3	1203
2	230
1	59
0	37

prune428.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.3b

regimes117.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.4b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
0	8

end0.0ms

sample1.0s

Algorithm: halfpoints