Details

sample288.0ms

Algorithm: halfpoints

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5006
4	3067
3	490
2	109
1	39
0	18

prune64.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize396.0ms

Local error

Found 4 expressions with local error:

0.2b	(+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0))
0.3b	(/.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.3b	(+.p16 (+.p16 alpha beta) (*.p16 beta alpha))
0.7b	(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))))

rewrite10.2s

Algorithm

rewrite-expression-head

Rules

92676×	`p16-lft-identity-expand` `p16--un-lft-identity`
67536×	`p16-times-frac`
53458×	`p16-distribute-lft-out` `distribute-lft-out`
35574×	`*p16-rgt-identity-expand`
25752×	`associate-l`
10813×	`distribute-rgt-out`
3219×	`associate-r`
1683×	`associate-/l*`
486×	`distribute-lft1-in`
99×	`associate-/l/`
63×	`associate-/r*`
46×	`insert-quire-fdp-add`
38×	`introduce-quire`
31×	`/p16-rgt-identity-expand`
24×	`associate-/r/`
18×	`associate-+l+`
12×	`insert-quire-add`
10×	`+p16-lft-identity-expand` `-p16-rgt-identity-expand` `+p16-rgt-identity-expand`
6×	`associate-+r+`
5×	`+-commutative` `*-commutative` `associate-+l-`
3×	`associate-+r-`

Counts

4 → 35733

Calls

4 calls:

108.0ms	(+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0))
1.6s	(/.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
22.0ms	(+.p16 (+.p16 alpha beta) (*.p16 beta alpha))
232.0ms	(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))))

series1.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0))
0.0ms	(/.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.0ms	(+.p16 (+.p16 alpha beta) (*.p16 beta alpha))
0.0ms	(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))))

simplify22.3s

Counts

35737 → 35737

Iterations

Iter	Nodes
done	5012
3	4639
2	660
1	152
0	69

prune3.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize317.0ms

Local error

Found 4 expressions with local error:

0.1b	(/.p16 (/.p16 (/.p16 (+.p16 (.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (real->posit16 1.0)))
0.3b	(/.p16 (/.p16 (+.p16 (.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
0.4b	(+.p16 (*.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 1.0)))
0.7b	(/.p16 (+.p16 (.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))))

rewrite9.4m

Algorithm

rewrite-expression-head

Calls

4 calls:

2.5m	(/.p16 (/.p16 (/.p16 (+.p16 (.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))) (real->posit16 1.0)))
1.4s	(/.p16 (/.p16 (+.p16 (.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
70.0ms	(+.p16 (*.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 1.0)))
159.0ms	(/.p16 (+.p16 (.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (.p16 (real->posit16 2) (real->posit16 1))))