Details

sample139.0ms

Algorithm: halfpoints

simplify60.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	28
3	28
2	26
1	19
0	14

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize334.0ms

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)))
0.8b	(-.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 47

Calls

4 calls:

8.0ms	(+.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)))
5.0ms	(-.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)

simplify1.8s

Counts

51 → 51

Iterations

Iter	Nodes
done	2054
5	2054
4	737
3	243
2	85
1	49
0	35

prune1.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.4b

localize342.0ms

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)))
0.8b	(-.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)

rewrite6.0ms

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×	`associate--l-` `insert-quire-sub` `sub-neg` `p16-flip--`

Counts

4 → 30

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)))
4.0ms	(-.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)

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)

simplify1.5s

Counts

34 → 34

Iterations

Iter	Nodes
done	2010
5	2010
4	413
3	130
2	50
1	34
0	26

prune836.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.4b

localize275.0ms

Local error

Found 4 expressions with local error:

2.5b	(-.p16 (.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (.p16 re re)) im im))) (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (.p16 re re)) im im)))) (.p16 re re))
4.4b	(quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)
4.4b	(quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)
4.4b	(quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

6×	`associate--l+`
5×	`+p16-lft-identity-expand` `+p16-rgt-identity-expand`
3×	`introduce-quire` `-p16-rgt-identity-expand`
2×	`distribute-rgt-in` `distribute-lft-in` `associate--r+`
1×	`associate--l-` `insert-quire-sub` `sub-neg` `p16-lft-identity-expand` `p16-flip--` `/p16-rgt-identity-expand` `p16-rgt-identity-expand` `insert-quire-fdp-sub` `associate--r-` `p16-*-un-lft-identity` `difference-of-squares`

Counts

4 → 23

Calls

4 calls:

3.0ms	(-.p16 (.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (.p16 re re)) im im))) (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (.p16 re re)) im im)))) (.p16 re re))
0.0ms	(quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)
0.0ms	(quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)
0.0ms	(quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)

series0.0ms

Counts

4 → 4

Calls

4 calls:

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

simplify1.1s

Counts

27 → 27

Iterations

Iter	Nodes
done	2004
4	2004
3	553
2	152
1	57
0	31

prune643.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.4b

localize464.0ms

Local error

Found 4 expressions with local error:

4.4b	(quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)
4.4b	(quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)
4.4b	(quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)
27.3b	(quire16-mul-sub (posit16->quire16 (.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (.p16 re re)) im im))) (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))))) re re)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

Counts

4 → 0

Calls

4 calls:

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

series0.0ms

Counts

4 → 4

Calls

4 calls:

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

simplify3.0ms

Counts

4 → 4

Iterations

Iter	Nodes
done	10
0	10

prune1.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.4b

regimes304.0ms

Accuracy

0% (0.3b remaining)

Error of 2.0b against oracle of 1.7b and baseline of 2.0b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	15
0	15

end0.0ms

sample2.8s

Algorithm: halfpoints