Details

sample104.0ms

Algorithm: halfpoints

simplify51.0ms

Counts

1 → 1

Iterations

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

prune49.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize109.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-+l+`
4×	`+p16-lft-identity-expand` `introduce-quire` `-p16-rgt-identity-expand` `+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×	`+-commutative`
1×	`associate-l/` `-commutative`

Counts

2 → 32

Calls

2 calls:

14.0ms	(*.p16 (+.p16 (+.p16 (real->posit16 3) d3) d2) d1)
34.0ms	(+.p16 (+.p16 (real->posit16 3) d3) d2)

series0.0ms

Counts

2 → 2

Calls

2 calls:

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

simplify4.3s

Counts

34 → 34

Iterations

Iter	Nodes
done	5061
5	4131
4	925
3	194
2	86
1	45
0	28

prune539.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize260.0ms

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)

7.0b

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

rewrite6.0ms

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:

5.0ms

(*.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)

1.0ms

(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))

simplify17.0ms

Counts

15 → 15

Iterations

Iter	Nodes
done	18
1	18
0	16

prune268.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize88.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

14.0ms	(*.p16 (+.p16 (real->posit16 3) (+.p16 d3 d2)) d1)
11.0ms	(+.p16 (real->posit16 3) (+.p16 d3 d2))

series0.0ms

Counts

2 → 2

Calls

2 calls:

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

simplify5.0s

Counts

54 → 54

Iterations

Iter	Nodes
done	5031
6	4562
5	1913
4	649
3	308
2	107
1	38
0	23

prune388.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize184.0ms

Local error

Found 2 expressions with local error:

0.3b	(+.p16 (+.p16 (.p16 d1 (real->posit16 3)) (.p16 d1 d2)) (*.p16 d1 d3))
0.4b	(+.p16 (.p16 d1 (real->posit16 3)) (.p16 d1 d2))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

84×	`p16-lft-identity-expand` `p16--un-lft-identity`
70×	`insert-quire-fdp-add`
50×	`p16-distribute-lft-out` `introduce-quire` `distribute-lft-out`
38×	`*p16-rgt-identity-expand`
24×	`associate-+l+`
20×	`*-commutative`
14×	`insert-quire-add` `distribute-rgt-out`
12×	`+p16-lft-identity-expand` `+p16-rgt-identity-expand`
8×	`-p16-rgt-identity-expand`
6×	`associate-+r+`
5×	`associate-r` `associate-+l-`
4×	`distribute-rgt-in` `distribute-lft-in`
3×	`+-commutative` `associate-+r-`
2×	`/p16-rgt-identity-expand`

Counts

2 → 162

Calls

2 calls:

92.0ms	(+.p16 (+.p16 (.p16 d1 (real->posit16 3)) (.p16 d1 d2)) (*.p16 d1 d3))
23.0ms	(+.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))

simplify6.7s

Counts

164 → 164

Iterations

Iter	Nodes
done	5823
4	2253
3	513
2	179
1	104
0	62

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes385.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
0	12

end0.0ms

sample3.0s

Algorithm: halfpoints