Details

sample98.0ms

Algorithm: halfpoints

simplify309.0ms

Counts

1 → 1

Iterations

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

prune54.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize226.0ms

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))

rewrite21.0ms

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)
9.0ms	(+.p16 (+.p16 (.p16 d1 d2) (.p16 (+.p16 d3 (real->posit16 5)) d1)) (*.p16 d1 (real->posit16 32)))
8.0ms	(+.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

prune1.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize331.0ms

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))

rewrite8.0ms

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:

7.0ms

(*.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))

simplify31.0ms

Counts

16 → 16

Iterations

Iter	Nodes
done	31
2	31
1	23
0	19

prune390.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize202.0ms

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))

rewrite32.0ms

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:

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

simplify2.0s

Counts

54 → 54

Iterations

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

prune749.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize322.0ms

Local error

Found 3 expressions with local error:

0.2b

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

0.4b

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

7.3b

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 31

Calls

3 calls:

6.0ms

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

6.0ms

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

0.0ms

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

series0.0ms

Counts

3 → 3

Calls

3 calls:

0.0ms

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

0.0ms

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

0.0ms

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

simplify3.2s

Counts

34 → 34

Iterations

Iter	Nodes
done	5061
7	2736
6	1876
5	983
4	342
3	168
2	67
1	36
0	23

prune717.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes907.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	16
0	16

end0.0ms

sample2.6s

Algorithm: halfpoints