Details

sample160.0ms

Algorithm: halfpoints

simplify16.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	17
2	17
1	16
0	11

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize214.0ms

Local error

Found 3 expressions with local error:

0.2b	(+.p16 (.p16 y.re y.re) (.p16 y.im y.im))
0.3b	(-.p16 (.p16 x.im y.re) (.p16 x.re y.im))
1.1b	(/.p16 (-.p16 (.p16 x.im y.re) (.p16 x.re y.im)) (+.p16 (.p16 y.re y.re) (.p16 y.im y.im)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

11×	`p16-lft-identity-expand` `p16-rgt-identity-expand` `p16-*-un-lft-identity`
9×	`p16-times-frac`
7×	`+p16-lft-identity-expand` `introduce-quire` `-p16-rgt-identity-expand` `+p16-rgt-identity-expand`
5×	`/p16-rgt-identity-expand`
3×	`associate-/r` `associate-/l`
2×	`associate-+l+` `associate-+r+` `associate--l+` `p16-flip--` `associate--r+` `associate-/l/`
1×	`associate--l-` `+-commutative` `insert-quire-sub` `associate-+r-` `sub-neg` `insert-quire-add` `associate-/r/` `insert-quire-fdp-add` `associate-+l-` `insert-quire-fdp-sub` `associate--r-`

Counts

3 → 61

Calls

3 calls:

4.0ms	(+.p16 (.p16 y.re y.re) (.p16 y.im y.im))
2.0ms	(-.p16 (.p16 x.im y.re) (.p16 x.re y.im))
3.0ms	(/.p16 (-.p16 (.p16 x.im y.re) (.p16 x.re y.im)) (+.p16 (.p16 y.re y.re) (.p16 y.im y.im)))

series0.0ms

Counts

3 → 3

Calls

3 calls:

0.0ms	(+.p16 (.p16 y.re y.re) (.p16 y.im y.im))
0.0ms	(-.p16 (.p16 x.im y.re) (.p16 x.re y.im))
0.0ms	(/.p16 (-.p16 (.p16 x.im y.re) (.p16 x.re y.im)) (+.p16 (.p16 y.re y.re) (.p16 y.im y.im)))

simplify1.1s

Counts

64 → 64

Iterations

Iter	Nodes
done	2005
3	2005
2	345
1	76
0	42

prune2.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.9b

localize310.0ms

Local error

Found 3 expressions with local error:

0.2b

(+.p16 (*.p16 y.re y.re) (*.p16 y.im y.im))

1.1b

(/.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 x.im y.re)) x.re y.im)) (+.p16 (*.p16 y.re y.re) (*.p16 y.im y.im)))

7.3b

(quire16-mul-sub (posit16->quire16 (*.p16 x.im y.re)) x.re y.im)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`p16-lft-identity-expand` `p16-rgt-identity-expand` `p16-*-un-lft-identity`
9×	`p16-times-frac`
4×	`+p16-lft-identity-expand` `introduce-quire` `-p16-rgt-identity-expand` `/p16-rgt-identity-expand` `+p16-rgt-identity-expand`
3×	`associate-/r` `associate-/l`
2×	`associate-+l+` `associate-+r+`
1×	`+-commutative` `associate-+r-` `insert-quire-add` `associate-/r/` `insert-quire-fdp-add` `associate-+l-` `associate-/l/`

Counts

3 → 42

Calls

3 calls:

8.0ms

(+.p16 (*.p16 y.re y.re) (*.p16 y.im y.im))

8.0ms

(/.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 x.im y.re)) x.re y.im)) (+.p16 (*.p16 y.re y.re) (*.p16 y.im y.im)))

1.0ms

(quire16-mul-sub (posit16->quire16 (*.p16 x.im y.re)) x.re y.im)

series0.0ms

Counts

3 → 3

Calls

3 calls:

0.0ms

(+.p16 (*.p16 y.re y.re) (*.p16 y.im y.im))

0.0ms

(/.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 x.im y.re)) x.re y.im)) (+.p16 (*.p16 y.re y.re) (*.p16 y.im y.im)))

0.0ms

(quire16-mul-sub (posit16->quire16 (*.p16 x.im y.re)) x.re y.im)

simplify2.9s

Counts

45 → 45

Iterations

Iter	Nodes
done	2006
5	2006
4	1082
3	239
2	86
1	37
0	30

prune2.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.9b

localize269.0ms

Local error

Found 3 expressions with local error:

0.3b

(-.p16 (*.p16 x.im y.re) (*.p16 x.re y.im))

1.1b

(/.p16 (-.p16 (*.p16 x.im y.re) (*.p16 x.re y.im)) (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 y.re y.re)) y.im y.im)))

4.4b

(quire16-mul-add (posit16->quire16 (*.p16 y.re y.re)) y.im y.im)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 44

Calls

3 calls:

5.0ms

(-.p16 (*.p16 x.im y.re) (*.p16 x.re y.im))

4.0ms

(/.p16 (-.p16 (*.p16 x.im y.re) (*.p16 x.re y.im)) (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 y.re y.re)) y.im y.im)))

1.0ms

(quire16-mul-add (posit16->quire16 (*.p16 y.re y.re)) y.im y.im)

series0.0ms

Counts

3 → 3

Calls

3 calls:

0.0ms

(-.p16 (*.p16 x.im y.re) (*.p16 x.re y.im))

0.0ms

(/.p16 (-.p16 (*.p16 x.im y.re) (*.p16 x.re y.im)) (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 y.re y.re)) y.im y.im)))

0.0ms

(quire16-mul-add (posit16->quire16 (*.p16 y.re y.re)) y.im y.im)

simplify1.4s

Counts

47 → 47

Iterations

Iter	Nodes
done	2013
4	2013
3	1362
2	310
1	65
0	36

prune2.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.8b

localize224.0ms

Local error

Found 4 expressions with local error:

0.2b	(+.p16 (.p16 y.re y.re) (.p16 y.im y.im))
0.3b	(/.p16 (real->posit16 1.0) (+.p16 (.p16 y.re y.re) (.p16 y.im y.im)))
1.1b	(.p16 (/.p16 (real->posit16 1.0) (+.p16 (.p16 y.re y.re) (.p16 y.im y.im))) (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 y.re x.im)) x.re y.im)))
7.3b	(quire16-mul-sub (posit16->quire16 (*.p16 y.re x.im)) x.re y.im)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

19×	`p16-lft-identity-expand` `p16-rgt-identity-expand` `p16-*-un-lft-identity`
18×	`p16-times-frac`
13×	`associate-l`
7×	`+p16-lft-identity-expand` `/p16-rgt-identity-expand` `+p16-rgt-identity-expand`
5×	`introduce-quire` `-p16-rgt-identity-expand`
3×	`associate-/r` `associate-r` `associate-/l`
2×	`distribute-rgt-in` `associate-+l+` `associate-+r+` `distribute-lft-in` `associate-/r/`
1×	`+-commutative` `associate-+r-` `insert-quire-add` `associate-l/` `associate-r/` `*-commutative` `insert-quire-fdp-add` `associate-+l-` `associate-/l/`

Counts

4 → 73

Calls

4 calls:

4.0ms	(+.p16 (.p16 y.re y.re) (.p16 y.im y.im))
3.0ms	(/.p16 (real->posit16 1.0) (+.p16 (.p16 y.re y.re) (.p16 y.im y.im)))
3.0ms	(.p16 (/.p16 (real->posit16 1.0) (+.p16 (.p16 y.re y.re) (.p16 y.im y.im))) (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 y.re x.im)) x.re y.im)))
0.0ms	(quire16-mul-sub (posit16->quire16 (*.p16 y.re x.im)) x.re y.im)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(+.p16 (.p16 y.re y.re) (.p16 y.im y.im))
0.0ms	(/.p16 (real->posit16 1.0) (+.p16 (.p16 y.re y.re) (.p16 y.im y.im)))
0.0ms	(.p16 (/.p16 (real->posit16 1.0) (+.p16 (.p16 y.re y.re) (.p16 y.im y.im))) (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 y.re x.im)) x.re y.im)))
0.0ms	(quire16-mul-sub (posit16->quire16 (*.p16 y.re x.im)) x.re y.im)

simplify20.8s

Counts

77 → 77

Iterations

Iter	Nodes
done	2189
4	2189
3	357
2	138
1	61
0	35

prune3.8s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.8b

regimes790.0ms

Accuracy

0% (0.4b remaining)

Error of 1.1b against oracle of 0.7b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
0	12

end0.0ms

sample3.7s

Algorithm: halfpoints