Details

sample71.0ms

Algorithm: halfpoints

simplify48.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	58
4	58
3	50
2	34
1	19
0	10

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize80.0ms

Local error

Found 2 expressions with local error:

0.2b	(+.p16 (+.p16 (real->posit16 3) d3) d2)
0.2b	(*.p16 (+.p16 (+.p16 (real->posit16 3) d3) d2) d1)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 27

Calls

2 calls:

17.0ms	(+.p16 (+.p16 (real->posit16 3) d3) d2)
35.0ms	(*.p16 (+.p16 (+.p16 (real->posit16 3) d3) d2) d1)

series0.0ms

Counts

2 → 2

Calls

2 calls:

0.0ms	(+.p16 (+.p16 (real->posit16 3) d3) d2)
0.0ms	(*.p16 (+.p16 (+.p16 (real->posit16 3) d3) d2) d1)

simplify834.0ms

Counts

29 → 29

Iterations

Iter	Nodes
done	2058
6	832
5	335
4	196
3	111
2	66
1	36
0	24

prune604.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize207.0ms

Local error

Found 2 expressions with local error:

0.2b

(*.p16 (quire16->posit16 (quire16-mul-add (quire16-mul-add (posit16->quire16 (real->posit16 3)) d3 (real->posit16 1.0)) d2 (real->posit16 1.0))) d1)

6.0b

(quire16-mul-add (quire16-mul-add (posit16->quire16 (real->posit16 3)) d3 (real->posit16 1.0)) d2 (real->posit16 1.0))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 13

Calls

2 calls:

2.0ms

(*.p16 (quire16->posit16 (quire16-mul-add (quire16-mul-add (posit16->quire16 (real->posit16 3)) d3 (real->posit16 1.0)) d2 (real->posit16 1.0))) d1)

0.0ms

(quire16-mul-add (quire16-mul-add (posit16->quire16 (real->posit16 3)) d3 (real->posit16 1.0)) d2 (real->posit16 1.0))

series0.0ms

Counts

2 → 2

Calls

2 calls:

0.0ms

(*.p16 (quire16->posit16 (quire16-mul-add (quire16-mul-add (posit16->quire16 (real->posit16 3)) d3 (real->posit16 1.0)) d2 (real->posit16 1.0))) d1)

0.0ms

(quire16-mul-add (quire16-mul-add (posit16->quire16 (real->posit16 3)) d3 (real->posit16 1.0)) d2 (real->posit16 1.0))

simplify8.0ms

Counts

15 → 15

Iterations

Iter	Nodes
done	18
1	18
0	16

prune239.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize226.0ms

Local error

Found 2 expressions with local error:

0.3b	(+.p16 (+.p16 (.p16 d1 (real->posit16 3)) (.p16 d1 d2)) (*.p16 d1 d3))
0.3b	(+.p16 (.p16 d1 (real->posit16 3)) (.p16 d1 d2))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

10×	`introduce-quire`
8×	`-p16-rgt-identity-expand`
7×	`associate-+l+` `+p16-lft-identity-expand` `+p16-rgt-identity-expand`
6×	`insert-quire-add` `insert-quire-fdp-add`
5×	`p16-distribute-lft-out` `associate-+l-` `distribute-lft-out`
4×	`associate-+r+`
3×	`associate-+r-`
2×	`distribute-rgt-in` `+-commutative` `p16-lft-identity-expand` `distribute-lft-in` `/p16-rgt-identity-expand` `p16-rgt-identity-expand` `p16-*-un-lft-identity`

Counts

2 → 49

Calls

2 calls:

9.0ms	(+.p16 (+.p16 (.p16 d1 (real->posit16 3)) (.p16 d1 d2)) (*.p16 d1 d3))
8.0ms	(+.p16 (.p16 d1 (real->posit16 3)) (.p16 d1 d2))

series0.0ms

Counts

2 → 2

Calls

2 calls:

0.0ms	(+.p16 (+.p16 (.p16 d1 (real->posit16 3)) (.p16 d1 d2)) (*.p16 d1 d3))
0.0ms	(+.p16 (.p16 d1 (real->posit16 3)) (.p16 d1 d2))

simplify1.2s

Counts

51 → 51

Iterations

Iter	Nodes
done	2001
3	441
2	143
1	70
0	40

prune880.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize305.0ms

Local error

Found 2 expressions with local error:

8.6b	(quire16-mul-add (quire16-mul-add (posit16->quire16 (*.p16 d1 (real->posit16 3))) d1 d2) d1 d3)
8.9b	(quire16-mul-add (posit16->quire16 (*.p16 d1 (real->posit16 3))) d1 d2)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

Counts

2 → 0

Calls

2 calls:

0.0ms	(quire16-mul-add (quire16-mul-add (posit16->quire16 (*.p16 d1 (real->posit16 3))) d1 d2) d1 d3)
1.0ms	(quire16-mul-add (posit16->quire16 (*.p16 d1 (real->posit16 3))) d1 d2)

series0.0ms

Counts

2 → 2

Calls

2 calls:

0.0ms	(quire16-mul-add (quire16-mul-add (posit16->quire16 (*.p16 d1 (real->posit16 3))) d1 d2) d1 d3)
0.0ms	(quire16-mul-add (posit16->quire16 (*.p16 d1 (real->posit16 3))) d1 d2)

simplify9.0ms

Counts

2 → 2

Iterations

Iter	Nodes
done	10
1	10
0	9

prune1.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes659.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	10
0	10

end0.0ms

sample3.4s

Algorithm: halfpoints