Details

sample1.1s

Algorithm: halfpoints

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
4	4075
3	589
2	107
1	34
0	15

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize293.0ms

Local error

Found 4 expressions with local error:

0.2b	(/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))
0.4b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
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)

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

12×	`p16-lft-identity-expand` `p16-rgt-identity-expand` `p16-*-un-lft-identity`
9×	`p16-times-frac`
7×	`+p16-lft-identity-expand` `introduce-quire` `-p16-rgt-identity-expand` `+p16-rgt-identity-expand`
6×	`associate--l+` `/p16-rgt-identity-expand`
3×	`associate--l-` `insert-quire-sub` `associate-/r` `sub-neg` `p16-flip--` `associate-/l`
1×	`associate-/r/` `associate-/l/`

Counts

4 → 67

Calls

4 calls:

21.0ms	(/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))
28.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
36.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
50.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)

series0.0ms

Counts

4 → 4

Calls

4 calls:

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

simplify4.2s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
3	3030
2	295
1	93
0	51

prune982.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize401.0ms

Local error

Found 4 expressions with local error:

0.4b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
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 a a))
1.2b	(/.p16 (-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 a a)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))

rewrite154.0ms

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:

27.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
43.0ms	(-.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 a a))
79.0ms	(/.p16 (-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 a a)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))

series0.0ms

Counts

4 → 4

Calls

4 calls:

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

simplify1.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	672
1	127
0	65

prune1.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize455.0ms

Local error

Found 4 expressions with local error:

0.4b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
0.5b	(-.p16 (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2)) a)
0.5b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
1.1b	(.p16 (.p16 (+.p16 a (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2))) (-.p16 (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2)) a)) (/.p16 (real->posit16 1.0) (+.p16 a (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2)))))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

35.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
26.0ms	(-.p16 (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2)) a)
31.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
11.0ms	(.p16 (.p16 (+.p16 a (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2))) (-.p16 (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2)) a)) (/.p16 (real->posit16 1.0) (+.p16 a (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2)))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2)) a)
0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.0ms	(.p16 (.p16 (+.p16 a (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2))) (-.p16 (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2)) a)) (/.p16 (real->posit16 1.0) (+.p16 a (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2)))))

simplify1.3s

Counts

78 → 78

Iterations

Iter	Nodes
done	5001
2	709
1	147
0	64

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize572.0ms

Local error

Found 4 expressions with local error:

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

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

25.0ms	(-.p16 (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2)) a)
27.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
89.0ms	(/.p16 (*.p16 (-.p16 (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2)) c) (+.p16 (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2)) c)) (+.p16 (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2)) c))
11.0ms	(.p16 (.p16 (+.p16 a (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2))) (-.p16 (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2)) a)) (/.p16 (real->posit16 1.0) (+.p16 a (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2)))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2)) a)
0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.0ms	(/.p16 (*.p16 (-.p16 (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2)) c) (+.p16 (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2)) c)) (+.p16 (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2)) c))
0.0ms	(.p16 (.p16 (+.p16 a (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2))) (-.p16 (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2)) a)) (/.p16 (real->posit16 1.0) (+.p16 a (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2)))))

simplify1.5s

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
2	998
1	164
0	67

prune1.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes488.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	26
0	26

end0.0ms

sample32.3s

Algorithm: halfpoints