Details

sample81.0ms

Algorithm: halfpoints

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	2089
7	2089
6	1544
5	763
4	354
3	157
2	62
1	25
0	11

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize149.0ms

Local error

Found 3 expressions with local error:

0.2b	(*.p16 d1 (+.p16 (-.p16 d4 (+.p16 d1 d3)) d2))
0.2b	(-.p16 d4 (+.p16 d1 d3))
0.3b	(+.p16 (-.p16 d4 (+.p16 d1 d3)) d2)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

12.0ms	(*.p16 d1 (+.p16 (-.p16 d4 (+.p16 d1 d3)) d2))
4.0ms	(-.p16 d4 (+.p16 d1 d3))
14.0ms	(+.p16 (-.p16 d4 (+.p16 d1 d3)) d2)

series0.0ms

Counts

3 → 3

Calls

3 calls:

0.0ms	(*.p16 d1 (+.p16 (-.p16 d4 (+.p16 d1 d3)) d2))
0.0ms	(-.p16 d4 (+.p16 d1 d3))
0.0ms	(+.p16 (-.p16 d4 (+.p16 d1 d3)) d2)

simplify1.3s

Counts

45 → 45

Iterations

Iter	Nodes
done	2047
5	2047
4	1092
3	369
2	130
1	60
0	30

prune589.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize175.0ms

Local error

Found 3 expressions with local error:

0.2b	(*.p16 d1 (+.p16 (-.p16 (-.p16 d4 d1) d3) d2))
0.2b	(-.p16 (-.p16 d4 d1) d3)
0.3b	(+.p16 (-.p16 (-.p16 d4 d1) d3) d2)

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 48

Calls

3 calls:

24.0ms	(*.p16 d1 (+.p16 (-.p16 (-.p16 d4 d1) d3) d2))
5.0ms	(-.p16 (-.p16 d4 d1) d3)
28.0ms	(+.p16 (-.p16 (-.p16 d4 d1) d3) d2)

series0.0ms

Counts

3 → 3

Calls

3 calls:

0.0ms	(*.p16 d1 (+.p16 (-.p16 (-.p16 d4 d1) d3) d2))
0.0ms	(-.p16 (-.p16 d4 d1) d3)
0.0ms	(+.p16 (-.p16 (-.p16 d4 d1) d3) d2)

simplify1.2s

Counts

51 → 51

Iterations

Iter	Nodes
done	2000
4	2000
3	436
2	130
1	67
0	38

prune737.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize328.0ms

Local error

Found 3 expressions with local error:

0.2b

(*.p16 d1 (quire16->posit16 (quire16-mul-add (quire16-mul-sub (posit16->quire16 (-.p16 d4 d1)) d3 (real->posit16 1.0)) d2 (real->posit16 1.0))))

8.5b

(quire16-mul-sub (posit16->quire16 (-.p16 d4 d1)) d3 (real->posit16 1.0))

9.9b

(quire16-mul-add (quire16-mul-sub (posit16->quire16 (-.p16 d4 d1)) d3 (real->posit16 1.0)) d2 (real->posit16 1.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 17

Calls

3 calls:

4.0ms

(*.p16 d1 (quire16->posit16 (quire16-mul-add (quire16-mul-sub (posit16->quire16 (-.p16 d4 d1)) d3 (real->posit16 1.0)) d2 (real->posit16 1.0))))

0.0ms

(quire16-mul-sub (posit16->quire16 (-.p16 d4 d1)) d3 (real->posit16 1.0))

1.0ms

(quire16-mul-add (quire16-mul-sub (posit16->quire16 (-.p16 d4 d1)) d3 (real->posit16 1.0)) d2 (real->posit16 1.0))

series0.0ms

Counts

3 → 3

Calls

3 calls:

0.0ms

(*.p16 d1 (quire16->posit16 (quire16-mul-add (quire16-mul-sub (posit16->quire16 (-.p16 d4 d1)) d3 (real->posit16 1.0)) d2 (real->posit16 1.0))))

0.0ms

(quire16-mul-sub (posit16->quire16 (-.p16 d4 d1)) d3 (real->posit16 1.0))

0.0ms

(quire16-mul-add (quire16-mul-sub (posit16->quire16 (-.p16 d4 d1)) d3 (real->posit16 1.0)) d2 (real->posit16 1.0))

simplify1.5m

Counts

20 → 20

Iterations

Iter	Nodes
done	6691
8	6691
7	924
6	282
5	128
4	79
3	37
2	28
1	24
0	19

prune187.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize76.0ms

Local error

Found 3 expressions with local error:

0.2b	(*.p16 d1 (+.p16 d4 (-.p16 d2 (+.p16 d3 d1))))
0.2b	(+.p16 d4 (-.p16 d2 (+.p16 d3 d1)))
0.3b	(-.p16 d2 (+.p16 d3 d1))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

5×	`-p16-rgt-identity-expand`
4×	`associate-+r+` `p16-lft-identity-expand` `+p16-lft-identity-expand` `/p16-rgt-identity-expand` `p16-rgt-identity-expand` `+p16-rgt-identity-expand` `p16-*-un-lft-identity`
3×	`introduce-quire` `associate-r`
2×	`sub-neg` `associate--r-`
1×	`distribute-rgt-in` `+-commutative` `associate-+r-` `distribute-lft-in` `associate-r/` `p16-flip--` `-commutative` `associate--r+`

Counts

3 → 41

Calls

3 calls:

3.0ms	(*.p16 d1 (+.p16 d4 (-.p16 d2 (+.p16 d3 d1))))
3.0ms	(+.p16 d4 (-.p16 d2 (+.p16 d3 d1)))
2.0ms	(-.p16 d2 (+.p16 d3 d1))

series0.0ms

Counts

3 → 3

Calls

3 calls:

0.0ms	(*.p16 d1 (+.p16 d4 (-.p16 d2 (+.p16 d3 d1))))
0.0ms	(+.p16 d4 (-.p16 d2 (+.p16 d3 d1)))
0.0ms	(-.p16 d2 (+.p16 d3 d1))

simplify625.0ms

Counts

44 → 44

Iterations

Iter	Nodes
done	2188
5	2188
4	1100
3	378
2	125
1	56
0	28

prune270.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes348.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
0	12

end0.0ms

sample1.9s

Algorithm: halfpoints