Details

sample145.0ms

Algorithm: halfpoints

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
1	15
0	11

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize261.0ms

Local error

Found 3 expressions with local error:

0.1b	(+.p16 (.p16 y.re y.re) (.p16 y.im y.im))
0.2b	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))
0.9b	(/.p16 (+.p16 (.p16 x.re y.re) (.p16 x.im y.im)) (+.p16 (.p16 y.re y.re) (.p16 y.im y.im)))

rewrite43.0ms

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:

10.0ms	(+.p16 (.p16 y.re y.re) (.p16 y.im y.im))
8.0ms	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))
12.0ms	(/.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)))

simplify2.1s

Counts

62 → 62

Iterations

Iter	Nodes
done	5018
4	1437
3	318
2	101
1	49
0	36

prune663.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize272.0ms

Local error

Found 3 expressions with local error:

0.1b

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

0.9b

(/.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)))

6.1b

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

rewrite20.0ms

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:

9.0ms

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

9.0ms

(/.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)

simplify4.2s

Counts

45 → 45

Iterations

Iter	Nodes
done	5000
4	1082
3	239
2	86
1	37
0	30

prune632.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.7b

localize215.0ms

Local error

Found 3 expressions with local error:

0.2b

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

0.9b

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

3.7b

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

rewrite9.0ms

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

3.0ms

(/.p16 (+.p16 (*.p16 x.re y.re) (*.p16 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)

series0.0ms

Counts

3 → 3

Calls

3 calls:

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)) (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)

simplify4.9s

Counts

45 → 45

Iterations

Iter	Nodes
done	6369
9	2382
8	1651
7	1274
6	868
5	461
4	208
3	129
2	78
1	38
0	30

prune617.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.7b

localize275.0ms

Local error

Found 4 expressions with local error:

0.1b	(+.p16 (.p16 y.re y.re) (.p16 y.im y.im))
0.3b	(/.p16 (real->posit16 1.0) (/.p16 (+.p16 (.p16 y.re y.re) (.p16 y.im y.im)) (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 x.re y.re)) x.im y.im))))
0.9b	(/.p16 (+.p16 (.p16 y.re y.re) (.p16 y.im y.im)) (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 x.re y.re)) x.im y.im)))
6.1b	(quire16-mul-add (posit16->quire16 (*.p16 x.re y.re)) x.im y.im)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

84×	`p16-times-frac`
53×	`p16-lft-identity-expand` `p16-rgt-identity-expand` `p16-*-un-lft-identity`
16×	`associate-/r*`
10×	`/p16-rgt-identity-expand`
6×	`associate-/r/` `associate-/l*`
5×	`+p16-lft-identity-expand` `introduce-quire` `-p16-rgt-identity-expand` `+p16-rgt-identity-expand`
2×	`associate-+l+` `associate-+r+` `associate-/l/`
1×	`+-commutative` `associate-+r-` `insert-quire-add` `insert-quire-fdp-add` `associate-+l-`

Counts

4 → 107

Calls

4 calls:

8.0ms	(+.p16 (.p16 y.re y.re) (.p16 y.im y.im))
10.0ms	(/.p16 (real->posit16 1.0) (/.p16 (+.p16 (.p16 y.re y.re) (.p16 y.im y.im)) (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 x.re y.re)) x.im y.im))))
26.0ms	(/.p16 (+.p16 (.p16 y.re y.re) (.p16 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 x.re y.re)) x.im 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 (.p16 y.re y.re) (.p16 y.im y.im)) (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 x.re y.re)) x.im y.im))))
0.0ms	(/.p16 (+.p16 (.p16 y.re y.re) (.p16 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 x.re y.re)) x.im y.im)

simplify8.0s

Counts

111 → 111

Iterations

Iter	Nodes
done	5024
6	3842
5	1487
4	500
3	208
2	113
1	56
0	38

prune861.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.6b

regimes926.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
0	12

end0.0ms

sample3.6s

Algorithm: halfpoints