Details

sample109.0ms

Algorithm: halfpoints

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	15
1	15
0	11

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize230.0ms

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.re y.re) (.p16 x.im y.im))
1.0b	(/.p16 (+.p16 (.p16 x.re y.re) (.p16 x.im y.im)) (+.p16 (.p16 y.re y.re) (.p16 y.im y.im)))

rewrite25.0ms

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`
4×	`associate-+l+` `associate-+r+`
3×	`associate-/r` `associate-/l`
2×	`+-commutative` `associate-+r-` `insert-quire-add` `insert-quire-fdp-add` `associate-+l-`
1×	`associate-/r/` `associate-/l/`

Counts

3 → 59

Calls

3 calls:

9.0ms	(+.p16 (.p16 y.re y.re) (.p16 y.im y.im))
7.0ms	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))
7.0ms	(/.p16 (+.p16 (.p16 x.re y.re) (.p16 x.im 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.re y.re) (.p16 x.im y.im))
0.0ms	(/.p16 (+.p16 (.p16 x.re y.re) (.p16 x.im y.im)) (+.p16 (.p16 y.re y.re) (.p16 y.im y.im)))

simplify21.8s

Counts

62 → 62

Iterations

Iter	Nodes
5	12775
4	1437
3	318
2	101
1	49
0	36

prune2.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.9b

localize249.0ms

Local error

Found 3 expressions with local error:

0.2b

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

1.0b

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

6.6b

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

rewrite11.0ms

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:

4.0ms

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

6.0ms

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

1.0ms

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

0.0ms

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

simplify19.8s

Counts

45 → 45

Iterations

Iter	Nodes
5	6410
4	1082
3	239
2	86
1	37
0	30

prune1.9s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.9b

localize317.0ms

Local error

Found 3 expressions with local error:

1.0b

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

4.6b

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

6.6b

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

9×	`p16-lft-identity-expand` `p16-times-frac` `p16-rgt-identity-expand` `p16-*-un-lft-identity`
3×	`associate-/r` `/p16-rgt-identity-expand` `associate-/l`
1×	`+p16-lft-identity-expand` `introduce-quire` `-p16-rgt-identity-expand` `associate-/r/` `+p16-rgt-identity-expand` `associate-/l/`

Counts

3 → 25

Calls

3 calls:

4.0ms

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

1.0ms

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

series0.0ms

Counts

3 → 3

Calls

3 calls:

0.0ms

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

0.0ms

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

simplify117.0ms

Counts

28 → 28

Iterations

Iter	Nodes
8	102
7	102
6	101
5	94
4	85
3	75
2	58
1	26
0	24

prune1.8s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.9b

localize334.0ms

Local error

Found 4 expressions with local error:

0.3b	(/.p16 (real->posit16 1.0) (/.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (.p16 y.re y.re)) y.im y.im)) (quire16->posit16 (quire16-mul-add (posit16->quire16 (.p16 x.re y.re)) x.im y.im))))
1.0b	(/.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (.p16 y.re y.re)) y.im y.im)) (quire16->posit16 (quire16-mul-add (posit16->quire16 (.p16 x.re y.re)) x.im y.im)))
4.6b	(quire16-mul-add (posit16->quire16 (*.p16 y.re y.re)) y.im y.im)
6.6b	(quire16-mul-add (posit16->quire16 (*.p16 x.re y.re)) x.im y.im)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

84×	`p16-times-frac`
52×	`p16-lft-identity-expand` `p16-rgt-identity-expand` `p16-*-un-lft-identity`
16×	`associate-/r*`
9×	`/p16-rgt-identity-expand`
6×	`associate-/r/` `associate-/l*`
2×	`+p16-lft-identity-expand` `introduce-quire` `-p16-rgt-identity-expand` `+p16-rgt-identity-expand` `associate-/l/`

Counts

4 → 90

Calls

4 calls:

3.0ms	(/.p16 (real->posit16 1.0) (/.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (.p16 y.re y.re)) y.im y.im)) (quire16->posit16 (quire16-mul-add (posit16->quire16 (.p16 x.re y.re)) x.im y.im))))
3.0ms	(/.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (.p16 y.re y.re)) y.im y.im)) (quire16->posit16 (quire16-mul-add (posit16->quire16 (.p16 x.re y.re)) x.im y.im)))
1.0ms	(quire16-mul-add (posit16->quire16 (*.p16 y.re y.re)) y.im y.im)
13.0ms	(quire16-mul-add (posit16->quire16 (*.p16 x.re y.re)) x.im y.im)

series1.0ms

Counts

4 → 4

Calls

4 calls:

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

simplify1.0s

Counts

94 → 94

Iterations

Iter	Nodes
7	1053
6	1053
5	1045
4	997
3	587
2	99
1	45
0	32

prune5.8s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.8b

regimes867.0ms

Accuracy

0% (0.3b remaining)

Error of 1.0b against oracle of 0.7b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
1	13
0	13

end0.0ms

sample3.3s

Algorithm: halfpoints