Details

sample129.0ms

Algorithm: halfpoints

simplify18.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	28
3	28
2	26
1	19
0	14

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize298.0ms

Local error

Found 4 expressions with local error:

0.2b	(+.p16 (.p16 re re) (.p16 im im))
0.4b	(sqrt.p16 (.p16 (real->posit16 2.0) (-.p16 (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))) re)))
0.5b	(sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))
1.1b	(-.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 47

Calls

4 calls:

5.0ms	(+.p16 (.p16 re re) (.p16 im im))
0.0ms	(sqrt.p16 (.p16 (real->posit16 2.0) (-.p16 (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))) re)))
0.0ms	(sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))
5.0ms	(-.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(+.p16 (.p16 re re) (.p16 im im))
0.0ms	(sqrt.p16 (.p16 (real->posit16 2.0) (-.p16 (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))) re)))
0.0ms	(sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))
0.0ms	(-.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re)

simplify4.4s

Counts

51 → 51

Iterations

Iter	Nodes
done	5131
5	3200
4	737
3	243
2	85
1	49
0	35

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.6b

localize351.0ms

Local error

Found 4 expressions with local error:

0.4b	(sqrt.p16 (.p16 (real->posit16 2.0) (-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (.p16 re re)) im im))) re)))
0.5b	(sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)))
1.1b	(-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))) re)
3.3b	(quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)

rewrite7.0ms

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` `/p16-rgt-identity-expand` `p16-rgt-identity-expand` `p16-*-un-lft-identity`
2×	`associate--l+`
1×	`associate--l-` `insert-quire-sub` `sub-neg` `p16-flip--`

Counts

4 → 30

Calls

4 calls:

0.0ms	(sqrt.p16 (.p16 (real->posit16 2.0) (-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (.p16 re re)) im im))) re)))
0.0ms	(sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)))
5.0ms	(-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))) re)
0.0ms	(quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(sqrt.p16 (.p16 (real->posit16 2.0) (-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (.p16 re re)) im im))) re)))
0.0ms	(sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)))
0.0ms	(-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))) re)
0.0ms	(quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)

simplify4.0s

Counts

34 → 34

Iterations

Iter	Nodes
done	5027
5	2145
4	413
3	130
2	50
1	34
0	26

prune930.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.6b

localize404.0ms

Local error

Found 4 expressions with local error:

3.0b	(-.p16 (.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (.p16 re re)) im im))) (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (.p16 re re)) im im)))) (.p16 re re))
3.3b	(quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)
3.3b	(quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)
3.3b	(quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`associate--l+`
5×	`+p16-lft-identity-expand` `+p16-rgt-identity-expand`
3×	`introduce-quire` `-p16-rgt-identity-expand`
2×	`distribute-rgt-in` `distribute-lft-in` `associate--r+`
1×	`associate--l-` `insert-quire-sub` `sub-neg` `p16-lft-identity-expand` `p16-flip--` `/p16-rgt-identity-expand` `p16-rgt-identity-expand` `insert-quire-fdp-sub` `associate--r-` `p16-*-un-lft-identity` `difference-of-squares`

Counts

4 → 23

Calls

4 calls:

8.0ms	(-.p16 (.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (.p16 re re)) im im))) (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (.p16 re re)) im im)))) (.p16 re re))
0.0ms	(quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)
0.0ms	(quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)
1.0ms	(quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(-.p16 (.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (.p16 re re)) im im))) (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (.p16 re re)) im im)))) (.p16 re re))
0.0ms	(quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)
0.0ms	(quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)
0.0ms	(quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)

simplify22.8s

Counts

27 → 27

Iterations

Iter	Nodes
done	5000
3	553
2	152
1	57
0	31

prune605.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 1.5b

localize537.0ms

Local error

Found 4 expressions with local error:

1.4b	(+.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))) re)
3.3b	(quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)
3.3b	(quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)
3.3b	(quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-+l+` `+p16-lft-identity-expand` `introduce-quire` `-p16-rgt-identity-expand` `+p16-rgt-identity-expand`
1×	`+-commutative` `p16-lft-identity-expand` `insert-quire-add` `/p16-rgt-identity-expand` `p16-rgt-identity-expand` `associate-+l-` `p16-*-un-lft-identity`

Counts

4 → 13

Calls

4 calls:

8.0ms	(+.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))) re)
0.0ms	(quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)
0.0ms	(quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)
1.0ms	(quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(+.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 re re)) im im))) re)
0.0ms	(quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)
0.0ms	(quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)
0.0ms	(quire16-mul-add (posit16->quire16 (*.p16 re re)) im im)

simplify1.2s

Counts

17 → 17

Iterations

Iter	Nodes
done	5038
7	1549
6	760
5	198
4	75
3	38
2	25
1	23
0	18

prune492.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 1.5b

regimes1.1s

Accuracy

0% (0.4b remaining)

Error of 2.1b against oracle of 1.7b and baseline of 2.1b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	15
0	15

end0.0ms

sample3.0s

Algorithm: halfpoints