Details

sample119.0ms

Algorithm: halfpoints

simplify16.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	2956
6	1544
5	763
4	354
3	157
2	62
1	25
0	11

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize107.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

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:

5.0ms	(-.p16 d4 (+.p16 d1 d3))
13.0ms	(+.p16 (-.p16 d4 (+.p16 d1 d3)) d2)
7.0ms	(*.p16 d1 (+.p16 (-.p16 d4 (+.p16 d1 d3)) d2))

series0.0ms

Counts

3 → 3

Calls

3 calls:

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

simplify2.8s

Counts

45 → 45

Iterations

Iter	Nodes
done	5005
5	3688
4	1113
3	385
2	136
1	61
0	30

prune461.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize104.0ms

Local error

Found 3 expressions with local error:

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

rewrite106.0ms

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:

11.0ms	(-.p16 (-.p16 d4 d1) d3)
47.0ms	(+.p16 (-.p16 (-.p16 d4 d1) d3) d2)
45.0ms	(*.p16 d1 (+.p16 (-.p16 (-.p16 d4 d1) d3) d2))

series0.0ms

Counts

3 → 3

Calls

3 calls:

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

simplify1.4s

Counts

51 → 51

Iterations

Iter	Nodes
done	5005
4	2101
3	465
2	133
1	66
0	38

prune637.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize108.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

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-lft-identity-expand` `+p16-rgt-identity-expand`
3×	`associate-+l+` `associate-+r+` `/p16-rgt-identity-expand` `insert-quire-fdp-add`
2×	`sub-neg` `distribute-rgt-out` `-p16-rgt-identity-expand`
1×	`distribute-rgt-in` `+-commutative` `associate-+r-` `insert-quire-add` `distribute-lft-in` `associate-r/` `-commutative` `associate-+l-`

Counts

2 → 54

Calls

2 calls:

20.0ms	(*.p16 d1 (+.p16 (-.p16 d4 d1) (-.p16 d2 d3)))
34.0ms	(+.p16 (-.p16 d4 d1) (-.p16 d2 d3))

series0.0ms

Counts

2 → 2

Calls

2 calls:

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

simplify765.0ms

Counts

56 → 56

Iterations

Iter	Nodes
done	5004
3	1232
2	202
1	57
0	28

prune449.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize141.0ms

Local error

Found 2 expressions with local error:

0.3b	(*.p16 d1 (quire16->posit16 (posit16->quire16 (-.p16 (+.p16 d2 d4) (+.p16 d1 d3)))))
0.3b	(-.p16 (+.p16 d2 d4) (+.p16 d1 d3))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

14.0ms	(*.p16 d1 (quire16->posit16 (posit16->quire16 (-.p16 (+.p16 d2 d4) (+.p16 d1 d3)))))
12.0ms	(-.p16 (+.p16 d2 d4) (+.p16 d1 d3))

series0.0ms

Counts

2 → 2

Calls

2 calls:

0.0ms	(*.p16 d1 (quire16->posit16 (posit16->quire16 (-.p16 (+.p16 d2 d4) (+.p16 d1 d3)))))
0.0ms	(-.p16 (+.p16 d2 d4) (+.p16 d1 d3))

simplify1.1s

Counts

42 → 42

Iterations

Iter	Nodes
done	5000
3	1519
2	284
1	70
0	30

prune536.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes577.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
0	8

end0.0ms

sample3.4s

Algorithm: halfpoints