Details

sample238.0ms

Algorithm: halfpoints

simplify30.0ms

Counts

1 → 1

Iterations

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize242.0ms

Local error

Found 4 expressions with local error:

0.2b	(-.p16 (.p16 b_2 b_2) (.p16 a c))
0.3b	(sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 a c)))
0.4b	(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 a c)))) a)
1.2b	(-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 a c))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

18.0ms	(-.p16 (.p16 b_2 b_2) (.p16 a c))
0.0ms	(sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 a c)))
11.0ms	(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 a c)))) a)
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	(sqrt.p16 (-.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	(-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 a c))))

simplify2.0s

Counts

82 → 82

Iterations

Iter	Nodes
done	5003
3	1805
2	293
1	84
0	46

prune1.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.5b

localize256.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)))
0.4b	(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)))) a)
1.2b	(-.p16 (neg.p16 b_2) (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c))))
4.7b	(quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)

rewrite11.0ms

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:

0.0ms	(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)))
5.0ms	(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)))) a)
4.0ms	(-.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)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)))
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	(-.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	5030
3	986
2	167
1	52
0	33

prune749.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.5b

localize268.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)))
0.4b	(/.p16 a (-.p16 (neg.p16 b_2) (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)))))
1.2b	(-.p16 (neg.p16 b_2) (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c))))
4.7b	(quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

13×	`p16-lft-identity-expand` `p16--un-lft-identity`
9×	`*p16-rgt-identity-expand`
8×	`associate-/r*` `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--r+`
1×	`associate--l-` `insert-quire-sub` `sub-neg` `associate--r-`

Counts

4 → 51

Calls

4 calls:

0.0ms	(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)))
4.0ms	(/.p16 a (-.p16 (neg.p16 b_2) (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	(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)))
0.0ms	(/.p16 a (-.p16 (neg.p16 b_2) (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)

simplify1.3s

Counts

55 → 55

Iterations

Iter	Nodes
done	5036
3	826
2	133
1	42
0	31

prune900.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 1.5b

localize690.0ms

Local error

Found 4 expressions with local error:

1.2b	(-.p16 (neg.p16 b_2) (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c))))
4.7b	(quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)
4.7b	(quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)
4.7b	(quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 25

Calls

4 calls:

8.0ms	(-.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)
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 (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)

simplify1.8s

Counts

29 → 29

Iterations

Iter	Nodes
done	5011
3	1239
2	169
1	47
0	30

prune382.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 1.5b

regimes637.0ms

Accuracy

0% (0.4b remaining)

Error of 1.7b against oracle of 1.2b and baseline of 1.7b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
0	11

end0.0ms

sample3.6s

Algorithm: halfpoints