Details

sample121.0ms

Algorithm: halfpoints

simplify364.0ms

Counts

1 → 1

Iterations

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

prune53.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize195.0ms

Local error

Found 3 expressions with local error:

0.2b	(*.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)))
0.3b	(+.p16 (.p16 d1 d2) (.p16 (+.p16 d3 (real->posit16 5)) d1))

rewrite13.0ms

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)
5.0ms	(+.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))

simplify6.9s

Counts

59 → 59

Iterations

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

prune1.6s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize308.0ms

Local error

Found 3 expressions with local error:

0.2b

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

7.3b

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

11.4b

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

rewrite7.0ms

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

3 → 13

Calls

3 calls:

6.0ms

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

0.0ms

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

0.0ms

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

series0.0ms

Counts

3 → 3

Calls

3 calls:

0.0ms

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

0.0ms

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

0.0ms

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

simplify48.0ms

Counts

16 → 16

Iterations

Iter	Nodes
done	31
2	31
1	23
0	19

prune425.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize236.0ms

Local error

Found 3 expressions with local error:

0.2b	(+.p16 (real->posit16 5) (+.p16 d3 d2))
0.2b	(*.p16 d1 (+.p16 (real->posit16 5) (+.p16 d3 d2)))
7.3b	(quire16-mul-add (posit16->quire16 (*.p16 d1 (+.p16 (real->posit16 5) (+.p16 d3 d2)))) d1 (real->posit16 32))

rewrite17.0ms

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:

8.0ms	(+.p16 (real->posit16 5) (+.p16 d3 d2))
8.0ms	(*.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))

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))

simplify2.1s

Counts

54 → 54

Iterations

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

prune991.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize228.0ms

Local error

Found 3 expressions with local error:

0.2b

(*.p16 d1 (+.p16 d3 d2))

0.4b

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

7.3b

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 40

Calls

3 calls:

3.0ms

(*.p16 d1 (+.p16 d3 d2))

3.0ms

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

0.0ms

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

series0.0ms

Counts

3 → 3

Calls

3 calls:

0.0ms

(*.p16 d1 (+.p16 d3 d2))

0.0ms

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

0.0ms

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

simplify5.5s

Counts

43 → 43

Iterations

Iter	Nodes
done	6205
4	1709
3	351
2	118
1	62
0	35

prune911.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes660.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	16
0	16

end0.0ms

sample3.1s

Algorithm: halfpoints