Details

sample551.0ms

Algorithm: halfpoints

simplify36.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	35
3	35
2	34
1	26
0	16

prune57.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize199.0ms

Local error

Found 4 expressions with local error:

0.3b	(.p16 (.p16 c a) (real->posit16 4))
0.4b	(/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (.p16 c a) (real->posit16 4)))) b) (.p16 (real->posit16 2) a))
0.4b	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4))))
1.0b	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))) b)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

3.0ms	(.p16 (.p16 c a) (real->posit16 4))
4.0ms	(/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (.p16 c a) (real->posit16 4)))) b) (.p16 (real->posit16 2) a))
0.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4))))
5.0ms	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))) b)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(.p16 (.p16 c a) (real->posit16 4))
0.0ms	(/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (.p16 c a) (real->posit16 4)))) b) (.p16 (real->posit16 2) a))
0.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4))))
0.0ms	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))) b)

simplify2.3s

Counts

64 → 64

Iterations

Iter	Nodes
done	3257
4	3257
3	812
2	227
1	83
0	43

prune3.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.2b

localize311.0ms

Local error

Found 4 expressions with local error:

0.2b	(-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))
0.4b	(/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (.p16 a (real->posit16 4))))) b) (.p16 (real->posit16 2) a))
0.4b	(sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4)))))
1.0b	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))) b)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

10.0ms	(-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))
8.0ms	(/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (.p16 a (real->posit16 4))))) b) (.p16 (real->posit16 2) a))
0.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4)))))
5.0ms	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))) b)

series1.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))
0.0ms	(/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (.p16 a (real->posit16 4))))) b) (.p16 (real->posit16 2) a))
0.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4)))))
0.0ms	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))) b)

simplify1.1s

Counts

75 → 75

Iterations

Iter	Nodes
done	2033
3	2033
2	538
1	146
0	70

prune4.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.2b

localize275.0ms

Local error

Found 4 expressions with local error:

0.3b	(.p16 (.p16 c a) (real->posit16 4))
0.3b	(/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))) b) a)
0.4b	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4))))
1.0b	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))) b)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

3.0ms	(.p16 (.p16 c a) (real->posit16 4))
4.0ms	(/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))) b) a)
0.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4))))
2.0ms	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))) b)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(.p16 (.p16 c a) (real->posit16 4))
0.0ms	(/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))) b) a)
0.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4))))
0.0ms	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))) b)

simplify4.4s

Counts

58 → 58

Iterations

Iter	Nodes
done	2809
4	2809
3	322
2	113
1	69
0	39

prune3.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.2b

localize188.0ms

Local error

Found 4 expressions with local error:

0.2b	(-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))
0.3b	(/.p16 (/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))) b) (real->posit16 2)) a)
0.4b	(sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4)))))
1.0b	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))) b)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

5.0ms	(-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))
5.0ms	(/.p16 (/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))) b) (real->posit16 2)) a)
0.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4)))))
2.0ms	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))) b)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))
0.0ms	(/.p16 (/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))) b) (real->posit16 2)) a)
0.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4)))))
0.0ms	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))) b)

simplify3.0s

Counts

78 → 78

Iterations

Iter	Nodes
done	2016
3	2016
2	408
1	135
0	71

prune4.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.2b

regimes860.0ms

Accuracy

0% (0.4b remaining)

Error of 1.5b against oracle of 1.1b and baseline of 1.5b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	15
0	15

end0.0ms

sample3.7s

Algorithm: halfpoints