Details

sample143.0ms

Algorithm: halfpoints

simplify25.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	26
2	26
1	24
0	14

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize296.0ms

Local error

Found 4 expressions with local error:

0.2b	(+.p16 (.p16 re re) (.p16 im im))
0.3b	(sqrt.p16 (.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))) re)))
0.5b	(sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))
1.1b	(+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

13×	`p16-lft-identity-expand` `p16--un-lft-identity`
11×	`introduce-quire`
7×	`+p16-lft-identity-expand` `-p16-rgt-identity-expand` `*p16-rgt-identity-expand` `+p16-rgt-identity-expand`
5×	`insert-quire-fdp-add`
4×	`associate-+l+` `p16-distribute-lft-out` `/p16-rgt-identity-expand` `distribute-lft-out`
2×	`+-commutative` `associate-+r+` `insert-quire-add` `associate-+l-`
1×	`associate-+r-` `distribute-rgt-out` `*-commutative`

Counts

4 → 59

Calls

4 calls:

22.0ms	(+.p16 (.p16 re re) (.p16 im im))
0.0ms	(sqrt.p16 (.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))) re)))
0.0ms	(sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))
8.0ms	(+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(+.p16 (.p16 re re) (.p16 im im))
0.0ms	(sqrt.p16 (.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))) re)))
0.0ms	(sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))
0.0ms	(+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re)

simplify8.1s

Counts

63 → 63

Iterations

Iter	Nodes
done	5941
8	1832
7	810
6	726
5	609
4	345
3	146
2	74
1	49
0	32

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 2.0b

localize413.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt.p16 (.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (.p16 re re)) im im))) re)))
0.5b	(sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)))
1.1b	(+.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))) re)
4.4b	(quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

4×	`+p16-lft-identity-expand` `introduce-quire` `-p16-rgt-identity-expand` `+p16-rgt-identity-expand`
3×	`p16-lft-identity-expand` `/p16-rgt-identity-expand` `p16-rgt-identity-expand` `p16-*-un-lft-identity`
2×	`associate-+l+`
1×	`+-commutative` `insert-quire-add` `associate-+l-`

Counts

4 → 29

Calls

4 calls:

0.0ms	(sqrt.p16 (.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (.p16 re re)) im im))) re)))
0.0ms	(sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)))
8.0ms	(+.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))) re)
1.0ms	(quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(sqrt.p16 (.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (.p16 re re)) im im))) re)))
0.0ms	(sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)))
0.0ms	(+.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))) re)
0.0ms	(quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)

simplify3.3s

Counts

33 → 33

Iterations

Iter	Nodes
done	5001
9	2915
8	762
7	201
6	106
5	74
4	58
3	42
2	36
1	33
0	22

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 2.0b

regimes252.0ms

Accuracy

0% (0.0b remaining)

Error of 2.0b against oracle of 2.0b and baseline of 2.0b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
0	15

end0.0ms

sample2.6s

Algorithm: halfpoints