Details

sample1.6s

Algorithm: halfpoints

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	2017
4	2017
3	563
2	106
1	34
0	15

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize398.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))
0.5b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.5b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
0.5b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

13×	`associate-l`
12×	`p16-lft-identity-expand` `p16-rgt-identity-expand` `p16-*-un-lft-identity`
11×	`+p16-lft-identity-expand` `+p16-rgt-identity-expand`
10×	`associate--l+`
9×	`p16-times-frac`
7×	`introduce-quire` `-p16-rgt-identity-expand`
6×	`/p16-rgt-identity-expand`
5×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
4×	`p16-flip--`
3×	`associate--l-` `insert-quire-sub` `associate-r`
2×	`associate-*r/`
1×	`associate-l/` `associate-/r/` `-commutative`

Counts

4 → 80

Calls

4 calls:

62.0ms	(*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))
45.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
51.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
48.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))
0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)

simplify1.2s

Counts

84 → 84

Iterations

Iter	Nodes
done	2007
3	2007
2	636
1	138
0	63

prune1.4s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize570.0ms

Local error

Found 4 expressions with local error:

0.5b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.5b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.5b	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 c c))
1.0b	(/.p16 (-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 c c)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

26.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
27.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
3.0ms	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 c c))
72.0ms	(/.p16 (-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 c c)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.0ms	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 c c))
0.0ms	(/.p16 (-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 c c)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c))

simplify1.8s

Counts

85 → 85

Iterations

Iter	Nodes
done	2001
3	2001
2	479
1	125
0	65

prune2.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize623.0ms

Local error

Found 4 expressions with local error:

0.5b	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 c c))
0.5b	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 b b))
1.0b	(/.p16 (-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 c c)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c))
1.1b	(/.p16 (-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 b b)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b))

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

24×	`p16-times-frac`
22×	`p16-lft-identity-expand` `p16-rgt-identity-expand` `p16-*-un-lft-identity`
12×	`+p16-lft-identity-expand` `associate--l+` `+p16-rgt-identity-expand`
10×	`difference-of-squares`
8×	`introduce-quire` `-p16-rgt-identity-expand` `/p16-rgt-identity-expand` `associate-/l*`
6×	`associate-/r*`
4×	`distribute-rgt-in` `distribute-lft-in` `p16-flip--` `associate--r+` `associate-/l/`
2×	`associate--l-` `insert-quire-sub` `sub-neg` `associate-/r/` `insert-quire-fdp-sub` `associate--r-`

Counts

4 → 106

Calls

4 calls:

6.0ms	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 c c))
6.0ms	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 b b))
129.0ms	(/.p16 (-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 c c)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c))
126.0ms	(/.p16 (-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 b b)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 c c))
0.0ms	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 b b))
0.0ms	(/.p16 (-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 c c)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c))
0.0ms	(/.p16 (-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 b b)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b))

simplify1.3s

Counts

110 → 110

Iterations

Iter	Nodes
done	2019
3	2019
2	712
1	144
0	73

prune2.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize750.0ms

Local error

Found 4 expressions with local error:

0.5b	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 c c))
0.5b	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 b b))
1.0b	(/.p16 (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b) (-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 b b)))
1.0b	(/.p16 (-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 c c)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

24×	`p16-times-frac`
22×	`p16-lft-identity-expand` `p16-rgt-identity-expand` `p16-*-un-lft-identity`
12×	`+p16-lft-identity-expand` `associate--l+` `+p16-rgt-identity-expand`
10×	`difference-of-squares`
8×	`introduce-quire` `-p16-rgt-identity-expand` `/p16-rgt-identity-expand`
7×	`associate-/r` `associate-/l`
4×	`distribute-rgt-in` `distribute-lft-in` `p16-flip--` `associate--r+`
3×	`associate-/r/` `associate-/l/`
2×	`associate--l-` `insert-quire-sub` `sub-neg` `insert-quire-fdp-sub` `associate--r-`

Counts

4 → 106

Calls

4 calls:

3.0ms	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 c c))
3.0ms	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 b b))
106.0ms	(/.p16 (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b) (-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 b b)))
110.0ms	(/.p16 (-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 c c)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 c c))
0.0ms	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 b b))
0.0ms	(/.p16 (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b) (-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 b b)))
0.0ms	(/.p16 (-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 c c)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c))

simplify1.4s

Counts

110 → 110

Iterations

Iter	Nodes
done	2011
3	2011
2	592
1	137
0	73

prune2.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

regimes932.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	25
0	25

end0.0ms

sample34.5s

Algorithm: halfpoints