Details

sample222.0ms

Algorithm: halfpoints

simplify16.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	28
3	28
2	26
1	19
0	12

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize276.0ms

Local error

Found 4 expressions with local error:

0.1b	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
0.1b	(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
0.4b	(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0))
0.7b	(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))

rewrite320.0ms

Algorithm

rewrite-expression-head

Rules

151×	`p16-lft-identity-expand` `p16--un-lft-identity`
111×	`*p16-rgt-identity-expand`
105×	`p16-times-frac`
50×	`p16-distribute-lft-out` `distribute-lft-out`
35×	`distribute-rgt-out`
28×	`/p16-rgt-identity-expand`
26×	`associate-/l*`
22×	`associate-/r/`
15×	`associate-/r*`
12×	`introduce-quire`
10×	`distribute-lft1-in`
8×	`+p16-lft-identity-expand` `-p16-rgt-identity-expand` `+p16-rgt-identity-expand`
6×	`associate-+l+` `insert-quire-fdp-add`
4×	`associate-+r+`
3×	`+-commutative` `associate-/l/`
2×	`associate-+r-` `insert-quire-add` `associate-+l-`
1×	`p16-flip--`

Counts

4 → 236

Calls

4 calls:

158.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
15.0ms	(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
113.0ms	(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0))
26.0ms	(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
0.0ms	(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
0.0ms	(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0))
0.0ms	(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0)))

simplify1.9s

Counts

240 → 240

Iterations

Iter	Nodes
done	5002
3	1340
2	238
1	68
0	43

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.6b

localize195.0ms

Local error

Found 4 expressions with local error:

0.1b	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
0.2b	(+.p16 alpha (+.p16 beta (real->posit16 2.0)))
0.4b	(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0))
0.7b	(/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

101×	`p16-lft-identity-expand` `p16--un-lft-identity`
91×	`*p16-rgt-identity-expand`
78×	`p16-times-frac`
30×	`p16-distribute-lft-out` `distribute-rgt-out` `distribute-lft-out`
28×	`/p16-rgt-identity-expand`
26×	`associate-/l*`
22×	`associate-/r/`
10×	`associate-+r+` `distribute-lft1-in`
8×	`+p16-lft-identity-expand` `introduce-quire` `-p16-rgt-identity-expand` `+p16-rgt-identity-expand`
6×	`associate-/r*`
4×	`associate-+r-`
3×	`+-commutative` `insert-quire-fdp-add` `associate-/l/`
2×	`associate-+l+`
1×	`insert-quire-add` `p16-flip--` `associate-+l-`

Counts

4 → 187

Calls

4 calls:

89.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
7.0ms	(+.p16 alpha (+.p16 beta (real->posit16 2.0)))
24.0ms	(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0))
8.0ms	(/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0)) (real->posit16 2.0))
0.0ms	(+.p16 alpha (+.p16 beta (real->posit16 2.0)))
0.0ms	(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0)))) (real->posit16 1.0))
0.0ms	(/.p16 (-.p16 beta alpha) (+.p16 alpha (+.p16 beta (real->posit16 2.0))))

simplify1.8s

Counts

191 → 191

Iterations

Iter	Nodes
done	5002
3	1291
2	245
1	63
0	40

prune1.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.6b

localize207.0ms

Local error

Found 4 expressions with local error:

0.1b	(/.p16 (+.p16 (real->posit16 1.0) (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha (real->posit16 2.0)) beta))) (real->posit16 2.0))
0.2b	(+.p16 (+.p16 alpha (real->posit16 2.0)) beta)
0.4b	(+.p16 (real->posit16 1.0) (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha (real->posit16 2.0)) beta)))
0.7b	(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha (real->posit16 2.0)) beta))

rewrite274.0ms

Algorithm

rewrite-expression-head

Rules

107×	`p16-lft-identity-expand` `p16--un-lft-identity`
97×	`*p16-rgt-identity-expand`
87×	`p16-times-frac`
30×	`p16-distribute-lft-out` `distribute-rgt-out` `distribute-lft-out`
29×	`/p16-rgt-identity-expand`
26×	`associate-/l*`
23×	`associate-/r/`
19×	`introduce-quire`
13×	`insert-quire-fdp-add`
10×	`distribute-rgt1-in`
8×	`associate-+l+` `+p16-lft-identity-expand` `-p16-rgt-identity-expand` `+p16-rgt-identity-expand`
6×	`associate-/r*`
4×	`associate-+r+`
3×	`+-commutative` `associate-+l-` `associate-/l/`
2×	`associate-+r-` `insert-quire-add`
1×	`p16-flip--`

Counts

4 → 198

Calls

4 calls:

151.0ms	(/.p16 (+.p16 (real->posit16 1.0) (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha (real->posit16 2.0)) beta))) (real->posit16 2.0))
21.0ms	(+.p16 (+.p16 alpha (real->posit16 2.0)) beta)
62.0ms	(+.p16 (real->posit16 1.0) (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha (real->posit16 2.0)) beta)))
34.0ms	(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha (real->posit16 2.0)) beta))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/.p16 (+.p16 (real->posit16 1.0) (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha (real->posit16 2.0)) beta))) (real->posit16 2.0))
0.0ms	(+.p16 (+.p16 alpha (real->posit16 2.0)) beta)
0.0ms	(+.p16 (real->posit16 1.0) (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha (real->posit16 2.0)) beta)))
0.0ms	(/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha (real->posit16 2.0)) beta))

simplify2.3s

Counts

202 → 202

Iterations

Iter	Nodes
done	5015
3	1347
2	239
1	75
0	50

prune1.6s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize182.0ms

Local error

Found 4 expressions with local error:

0.1b	(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
0.3b	(/.p16 (real->posit16 1.0) (/.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (-.p16 beta alpha)))
0.4b	(+.p16 (/.p16 (real->posit16 1.0) (/.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (-.p16 beta alpha))) (real->posit16 1.0))
0.6b	(/.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (-.p16 beta alpha))

rewrite276.0ms

Algorithm

rewrite-expression-head

Rules

303×	`p16-times-frac`
297×	`p16-lft-identity-expand` `p16--un-lft-identity`
184×	`*p16-rgt-identity-expand`
82×	`p16-distribute-lft-out` `distribute-lft-out`
51×	`associate-/r*`
38×	`associate-/l*`
36×	`associate-/r/`
28×	`distribute-rgt-out`
17×	`/p16-rgt-identity-expand`
12×	`introduce-quire`
11×	`remove-double-div.p16`
8×	`+p16-lft-identity-expand` `-p16-rgt-identity-expand` `+p16-rgt-identity-expand`
6×	`associate-+l+` `insert-quire-fdp-add`
5×	`p16-flip--`
4×	`associate-+r+`
3×	`+-commutative` `distribute-lft1-in` `associate-/l/`
2×	`associate-+r-` `insert-quire-add` `associate-+l-`

Counts

4 → 340

Calls

4 calls:

19.0ms	(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
53.0ms	(/.p16 (real->posit16 1.0) (/.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (-.p16 beta alpha)))
159.0ms	(+.p16 (/.p16 (real->posit16 1.0) (/.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (-.p16 beta alpha))) (real->posit16 1.0))
26.0ms	(/.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (-.p16 beta alpha))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(+.p16 (+.p16 alpha beta) (real->posit16 2.0))
0.0ms	(/.p16 (real->posit16 1.0) (/.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (-.p16 beta alpha)))
0.0ms	(+.p16 (/.p16 (real->posit16 1.0) (/.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (-.p16 beta alpha))) (real->posit16 1.0))
0.0ms	(/.p16 (+.p16 (+.p16 alpha beta) (real->posit16 2.0)) (-.p16 beta alpha))

simplify5.4s

Counts

344 → 344

Iterations

Iter	Nodes
done	5000
4	3079
3	787
2	175
1	83
0	49

prune1.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.4b

regimes411.0ms

Accuracy

0% (0.4b remaining)

Error of 0.7b against oracle of 0.4b and baseline of 0.7b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	13
0	13

end0.0ms

sample4.9s

Algorithm: halfpoints