Details

sample360.0ms

Algorithm: halfpoints

simplify28.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	18
3	18
2	17
1	15
0	10

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize331.0ms

Local error

Found 4 expressions with local error:

0.2b	(-.p16 (.p16 b_2 b_2) (.p16 a c))
0.3b	(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 a c)))) a)
0.3b	(sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 a c)))
1.1b	(-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 a c))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

8.0ms	(-.p16 (.p16 b_2 b_2) (.p16 a c))
13.0ms	(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 a c)))) a)
0.0ms	(sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 a c)))
11.0ms	(-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 a c))))

series1.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(-.p16 (.p16 b_2 b_2) (.p16 a c))
0.0ms	(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 a c)))) a)
0.0ms	(sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 a c)))
0.0ms	(-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 a c))))

simplify1.9s

Counts

73 → 73

Iterations

Iter	Nodes
done	5024
3	1834
2	305
1	82
0	44

prune907.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.2b

localize250.0ms

Local error

Found 4 expressions with local error:

0.3b	(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)))) a)
0.3b	(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)))
1.1b	(-.p16 (neg.p16 b_2) (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c))))
3.9b	(quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

10.0ms	(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)))) a)
0.0ms	(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)))
7.0ms	(-.p16 (neg.p16 b_2) (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c))))
1.0ms	(quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)))) a)
0.0ms	(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)))
0.0ms	(-.p16 (neg.p16 b_2) (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c))))
0.0ms	(quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)

simplify1.5s

Counts

55 → 55

Iterations

Iter	Nodes
done	5002
3	986
2	167
1	52
0	33

prune820.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.2b

localize199.0ms

Local error

Found 4 expressions with local error:

0.2b	(-.p16 (.p16 b_2 b_2) (.p16 a c))
0.3b	(/.p16 a (-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 a c)))))
0.3b	(sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 a c)))
1.1b	(-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 a c))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

7.0ms	(-.p16 (.p16 b_2 b_2) (.p16 a c))
7.0ms	(/.p16 a (-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 a c)))))
0.0ms	(sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 a c)))
17.0ms	(-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 a c))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(-.p16 (.p16 b_2 b_2) (.p16 a c))
0.0ms	(/.p16 a (-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 a c)))))
0.0ms	(sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 a c)))
0.0ms	(-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 a c))))

simplify2.6s

Counts

73 → 73

Iterations

Iter	Nodes
done	5026
3	1922
2	287
1	72
0	42

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 1.2b

localize238.0ms

Local error

Found 4 expressions with local error:

1.1b	(+.p16 (neg.p16 b_2) (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c))))
3.9b	(quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)
3.9b	(quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)
3.9b	(quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 28

Calls

4 calls:

5.0ms	(+.p16 (neg.p16 b_2) (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c))))
0.0ms	(quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)
0.0ms	(quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)
0.0ms	(quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(+.p16 (neg.p16 b_2) (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c))))
0.0ms	(quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)
0.0ms	(quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)
0.0ms	(quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)

simplify4.2s

Counts

32 → 32

Iterations

Iter	Nodes
done	5050
4	3222
3	476
2	104
1	36
0	25

prune306.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 1.2b

regimes559.0ms

Accuracy

0% (0.4b remaining)

Error of 1.7b against oracle of 1.3b and baseline of 1.7b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
0	11

end0.0ms

sample3.1s

Algorithm: halfpoints