Details

sample108.0ms

Algorithm: halfpoints

simplify365.0ms

Counts

1 → 1

Iterations

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

prune40.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize211.0ms

Local error

Found 3 expressions with local error:

0.2b	(+.p16 (+.p16 (.p16 d1 d2) (.p16 (+.p16 d3 (real->posit16 5)) d1)) (*.p16 d1 (real->posit16 32)))
0.3b	(*.p16 (+.p16 d3 (real->posit16 5)) d1)
0.4b	(+.p16 (.p16 d1 d2) (.p16 (+.p16 d3 (real->posit16 5)) d1))

rewrite18.0ms

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:

5.0ms	(+.p16 (+.p16 (.p16 d1 d2) (.p16 (+.p16 d3 (real->posit16 5)) d1)) (*.p16 d1 (real->posit16 32)))
6.0ms	(*.p16 (+.p16 d3 (real->posit16 5)) d1)
7.0ms	(+.p16 (.p16 d1 d2) (.p16 (+.p16 d3 (real->posit16 5)) d1))

series0.0ms

Counts

3 → 3

Calls

3 calls:

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

simplify3.8s

Counts

59 → 59

Iterations

Iter	Nodes
done	2084
4	2084
3	473
2	188
1	69
0	43

prune1.4s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize218.0ms

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))

13.1b

(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)

simplify6.0ms

Counts

2 → 2

Iterations

Iter	Nodes
done	14
1	14
0	12

prune43.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize171.0ms

Local error

Found 3 expressions with local error:

0.2b	(*.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))

rewrite27.0ms

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:

15.0ms	(*.p16 d1 (+.p16 (+.p16 (real->posit16 5) d3) d2))
11.0ms	(+.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))

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))

simplify1.1s

Counts

32 → 32

Iterations

Iter	Nodes
done	2067
7	2067
6	1094
5	399
4	244
3	150
2	95
1	55
0	32

prune670.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize144.0ms

Local error

Found 3 expressions with local error:

0.1b	(+.p16 (real->posit16 5) (+.p16 (real->posit16 32) (+.p16 d3 d2)))
0.1b	(+.p16 (real->posit16 32) (+.p16 d3 d2))
0.4b	(*.p16 (+.p16 (real->posit16 5) (+.p16 (real->posit16 32) (+.p16 d3 d2))) d1)

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

138×	`p16-lft-identity-expand` `p16--un-lft-identity`
84×	`p16-distribute-lft-out` `distribute-lft-out`
48×	`associate-l`
30×	`*p16-rgt-identity-expand`
20×	`introduce-quire`
15×	`insert-quire-fdp-add`
12×	`distribute-rgt-out`
9×	`-p16-rgt-identity-expand`
5×	`associate-+r-` `+p16-lft-identity-expand` `+p16-rgt-identity-expand`
4×	`associate-+l+` `/p16-rgt-identity-expand`
3×	`associate-+l-`
2×	`+-commutative` `associate-+r+` `insert-quire-add`
1×	`associate-l/` `-commutative`

Counts

3 → 159

Calls

3 calls:

33.0ms	(+.p16 (real->posit16 5) (+.p16 (real->posit16 32) (+.p16 d3 d2)))
16.0ms	(+.p16 (real->posit16 32) (+.p16 d3 d2))
36.0ms	(*.p16 (+.p16 (real->posit16 5) (+.p16 (real->posit16 32) (+.p16 d3 d2))) d1)

series0.0ms

Counts

3 → 3

Calls

3 calls:

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

simplify762.0ms

Counts

162 → 162

Iterations

Iter	Nodes
done	2010
4	2010
3	547
2	154
1	54
0	31

prune873.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes476.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	13
0	13

end0.0ms

sample2.2s

Algorithm: halfpoints