Details

sample114.0ms

Algorithm: halfpoints

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
2	13
1	12
0	7

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize157.0ms

Local error

Found 2 expressions with local error:

0.1b	(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))
0.6b	(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))

rewrite26.0ms

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:

6.0ms	(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))
20.0ms	(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))

series0.0ms

Counts

2 → 2

Calls

2 calls:

0.0ms	(/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))
0.0ms	(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))

simplify1.4s

Counts

53 → 53

Iterations

Iter	Nodes
done	5016
3	1178
2	242
1	52
0	29

prune394.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.5b

localize208.0ms

Local error

Found 4 expressions with local error:

0.3b	(+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))
0.3b	(+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))
0.6b	(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
0.9b	(/.p16 (*.p16 (-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x)) (+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))) (+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

57×	`p16-lft-identity-expand` `p16--un-lft-identity`
36×	`introduce-quire` `*p16-rgt-identity-expand`
31×	`p16-times-frac`
26×	`insert-quire-fdp-add`
16×	`p16-distribute-lft-out` `distribute-lft-out`
15×	`/p16-rgt-identity-expand`
13×	`associate-/r*`
10×	`+p16-lft-identity-expand` `-p16-rgt-identity-expand` `+p16-rgt-identity-expand`
8×	`distribute-rgt-out` `associate-/r/`
4×	`associate-+l+` `associate-+r+` `distribute-lft-out--` `associate-/l/`
3×	`insert-quire-fdp-sub`
2×	`+-commutative` `associate-+r-` `insert-quire-add` `distribute-rgt-out--` `associate-*l/` `associate--l+` `p16-flip--` `associate-+l-` `associate--r+`
1×	`associate--l-` `insert-quire-sub` `sub-neg` `associate-r/` `associate-/l` `associate--r-`

Counts

4 → 144

Calls

4 calls:

12.0ms	(+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))
13.0ms	(+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))
13.0ms	(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
21.0ms	(/.p16 (*.p16 (-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x)) (+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))) (+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))
0.0ms	(+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))
0.0ms	(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
0.0ms	(/.p16 (*.p16 (-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x)) (+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))) (+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))))

simplify2.4s

Counts

148 → 148

Iterations

Iter	Nodes
done	5001
2	639
1	92
0	48

prune928.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

localize234.0ms

Local error

Found 4 expressions with local error:

0.3b	(+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))
0.3b	(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
0.6b	(/.p16 (-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x)) (+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))))
0.6b	(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

193×	`p16-lft-identity-expand` `p16--un-lft-identity`
126×	`p16-times-frac`
118×	`*p16-rgt-identity-expand`
60×	`distribute-lft-out--`
48×	`p16-distribute-lft-out` `distribute-lft-out`
34×	`/p16-rgt-identity-expand`
30×	`distribute-rgt-out--`
29×	`associate-/r/`
26×	`introduce-quire`
24×	`distribute-rgt-out`
16×	`insert-quire-fdp-add`
13×	`associate-/r*`
10×	`+p16-lft-identity-expand` `-p16-rgt-identity-expand` `+p16-rgt-identity-expand`
9×	`associate-/l*`
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+` `associate-/l/`
1×	`associate--l-` `insert-quire-sub` `sub-neg` `associate--r-`

Counts

4 → 244

Calls

4 calls:

13.0ms	(+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))
23.0ms	(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
67.0ms	(/.p16 (-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x)) (+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))))
11.0ms	(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))
0.0ms	(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
0.0ms	(/.p16 (-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x)) (+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1)))))
0.0ms	(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))

simplify6.7s

Counts

248 → 248

Iterations

Iter	Nodes
done	5002
3	3616
2	537
1	96
0	51

prune762.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.4b

localize203.0ms

Local error

Found 4 expressions with local error:

0.3b	(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
0.3b	(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
0.6b	(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
0.8b	(*.p16 (-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x)) (/.p16 (real->posit16 1.0) (+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 152

Calls

4 calls:

12.0ms	(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
12.0ms	(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
9.0ms	(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
28.0ms	(*.p16 (-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x)) (/.p16 (real->posit16 1.0) (+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))))

series1.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
0.0ms	(+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
0.0ms	(-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))
0.0ms	(*.p16 (-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x)) (/.p16 (real->posit16 1.0) (+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) x))))

simplify4.4s

Counts

156 → 156

Iterations

Iter	Nodes
done	5008
3	2352
2	438
1	89
0	39

prune917.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.4b

regimes181.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample2.5s

Algorithm: halfpoints