Details

sample142.0ms

Algorithm: halfpoints

simplify46.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	26
2	26
1	24
0	14

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize303.0ms

Local error

Found 4 expressions with local error:

0.2b	(+.p16 (.p16 re re) (.p16 im im))
0.4b	(sqrt.p16 (.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))) re)))
0.4b	(sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))
0.9b	(+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 46

Calls

4 calls:

9.0ms	(+.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)

simplify29.2s

Counts

50 → 50

Iterations

Iter	Nodes
done	5242
6	3853
5	611
4	331
3	145
2	73
1	48
0	31

prune889.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.7b

localize268.0ms

Local error

Found 4 expressions with local error:

0.4b	(sqrt.p16 (.p16 (real->posit16 2.0) (+.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (.p16 re re)) im im))) re)))
0.4b	(sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)))
0.9b	(+.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))) re)
5.1b	(quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)

rewrite11.0ms

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)

simplify2.8s

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: 1.7b

regimes254.0ms

Accuracy

0% (0.0b remaining)

Error of 2.1b against oracle of 2.1b and baseline of 2.1b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	15
0	15

end0.0ms

sample3.2s

Algorithm: halfpoints