Details

sample146.0ms

Algorithm: halfpoints

simplify293.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	455
7	455
6	445
5	367
4	223
3	114
2	41
1	21
0	13

prune73.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize237.0ms

Local error

Found 3 expressions with local error:

0.3b	(*.p16 (+.p16 d3 (real->posit16 5)) d1)
0.3b	(+.p16 (+.p16 (.p16 d1 d2) (.p16 (+.p16 d3 (real->posit16 5)) d1)) (*.p16 d1 (real->posit16 32)))
0.4b	(+.p16 (.p16 d1 d2) (.p16 (+.p16 d3 (real->posit16 5)) d1))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

3.0ms	(*.p16 (+.p16 d3 (real->posit16 5)) d1)
7.0ms	(+.p16 (+.p16 (.p16 d1 d2) (.p16 (+.p16 d3 (real->posit16 5)) d1)) (*.p16 d1 (real->posit16 32)))
4.0ms	(+.p16 (.p16 d1 d2) (.p16 (+.p16 d3 (real->posit16 5)) d1))

series0.0ms

Counts

3 → 3

Calls

3 calls:

0.0ms	(*.p16 (+.p16 d3 (real->posit16 5)) d1)
0.0ms	(+.p16 (+.p16 (.p16 d1 d2) (.p16 (+.p16 d3 (real->posit16 5)) d1)) (*.p16 d1 (real->posit16 32)))
0.0ms	(+.p16 (.p16 d1 d2) (.p16 (+.p16 d3 (real->posit16 5)) d1))

simplify6.6s

Counts

59 → 59

Iterations

Iter	Nodes
done	5772
4	2493
3	563
2	166
1	73
0	43

prune1.6s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize272.0ms

Local error

Found 2 expressions with local error:

4.5b

(quire16-mul-add (quire16-mul-add (posit16->quire16 (*.p16 d1 d2)) (+.p16 d3 (real->posit16 5)) d1) d1 (real->posit16 32))

12.8b

(quire16-mul-add (posit16->quire16 (*.p16 d1 d2)) (+.p16 d3 (real->posit16 5)) d1)

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 d2)) (+.p16 d3 (real->posit16 5)) d1) d1 (real->posit16 32))

0.0ms

(quire16-mul-add (posit16->quire16 (*.p16 d1 d2)) (+.p16 d3 (real->posit16 5)) d1)

series0.0ms

Counts

2 → 2

Calls

2 calls:

0.0ms

(quire16-mul-add (quire16-mul-add (posit16->quire16 (*.p16 d1 d2)) (+.p16 d3 (real->posit16 5)) d1) d1 (real->posit16 32))

0.0ms

(quire16-mul-add (posit16->quire16 (*.p16 d1 d2)) (+.p16 d3 (real->posit16 5)) d1)

simplify7.0ms

Counts

2 → 2

Iterations

Iter	Nodes
done	14
1	14
0	12

prune130.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize308.0ms

Local error

Found 3 expressions with local error:

0.2b	(+.p16 (real->posit16 5) (+.p16 d3 d2))
0.3b	(*.p16 d1 (+.p16 (real->posit16 5) (+.p16 d3 d2)))
4.5b	(quire16-mul-add (posit16->quire16 (*.p16 d1 (+.p16 (real->posit16 5) (+.p16 d3 d2)))) d1 (real->posit16 32))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

19.0ms	(+.p16 (real->posit16 5) (+.p16 d3 d2))
20.0ms	(*.p16 d1 (+.p16 (real->posit16 5) (+.p16 d3 d2)))
1.0ms	(quire16-mul-add (posit16->quire16 (*.p16 d1 (+.p16 (real->posit16 5) (+.p16 d3 d2)))) d1 (real->posit16 32))

series0.0ms

Counts

3 → 3

Calls

3 calls:

0.0ms	(+.p16 (real->posit16 5) (+.p16 d3 d2))
0.0ms	(*.p16 d1 (+.p16 (real->posit16 5) (+.p16 d3 d2)))
0.0ms	(quire16-mul-add (posit16->quire16 (*.p16 d1 (+.p16 (real->posit16 5) (+.p16 d3 d2)))) d1 (real->posit16 32))

simplify1.9s

Counts

54 → 54

Iterations

Iter	Nodes
done	5001
4	2181
3	424
2	123
1	54
0	29

prune799.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize223.0ms

Local error

Found 3 expressions with local error:

0.3b	(*.p16 d1 (+.p16 (+.p16 (real->posit16 5) d3) d2))
0.3b	(+.p16 (+.p16 (real->posit16 5) d3) d2)
4.5b	(quire16-mul-add (posit16->quire16 (*.p16 d1 (+.p16 (+.p16 (real->posit16 5) d3) d2))) d1 (real->posit16 32))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 29

Calls

3 calls:

13.0ms	(*.p16 d1 (+.p16 (+.p16 (real->posit16 5) d3) d2))
27.0ms	(+.p16 (+.p16 (real->posit16 5) d3) d2)
1.0ms	(quire16-mul-add (posit16->quire16 (*.p16 d1 (+.p16 (+.p16 (real->posit16 5) d3) d2))) d1 (real->posit16 32))

series0.0ms

Counts

3 → 3

Calls

3 calls:

0.0ms	(*.p16 d1 (+.p16 (+.p16 (real->posit16 5) d3) d2))
0.0ms	(+.p16 (+.p16 (real->posit16 5) d3) d2)
0.0ms	(quire16-mul-add (posit16->quire16 (*.p16 d1 (+.p16 (+.p16 (real->posit16 5) d3) d2))) d1 (real->posit16 32))

simplify5.0s

Counts

32 → 32

Iterations

Iter	Nodes
done	5002
6	1478
5	467
4	247
3	145
2	91
1	51
0	28

prune818.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes567.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	13
0	13

end0.0ms

sample3.0s

Algorithm: halfpoints