Details

sample308.0ms

Algorithm: halfpoints

simplify53.0ms

Counts

1 → 1

Iterations

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

prune77.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize284.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

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:

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

simplify3.4s

Counts

64 → 64

Iterations

Iter	Nodes
done	5003
3	793
2	230
1	83
0	43

prune1.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.1b

localize275.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

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:

12.0ms	(-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))
4.0ms	(/.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)))))
3.0ms	(-.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 (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)

simplify3.0s

Counts

75 → 75

Iterations

Iter	Nodes
done	5101
2	538
1	146
0	70

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.1b

localize283.0ms

Local error

Found 4 expressions with local error:

0.2b	(/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))) b) a)
0.3b	(-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))
0.3b	(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`
10×	`distribute-rgt-in` `distribute-lft-in`
7×	`introduce-quire` `-p16-rgt-identity-expand`
5×	`p16-lft-identity-expand` `/p16-rgt-identity-expand` `p16-rgt-identity-expand` `p16-*-un-lft-identity`
4×	`associate--l+`
3×	`p16-flip--` `associate-/l*`
2×	`associate--l-` `insert-quire-sub` `sub-neg` `associate-/l/`
1×	`insert-quire-fdp-sub` `associate--r-`

Counts

4 → 65

Calls

4 calls:

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

simplify3.1s

Counts

69 → 69

Iterations

Iter	Nodes
done	5336
2	583
1	141
0	66

prune2.0s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.1b

localize337.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

11.0ms	(-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))
0.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4)))))
8.0ms	(.p16 (/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (.p16 a (real->posit16 4))))) b) (real->posit16 2)) (/.p16 (real->posit16 1.0) a))
5.0ms	(-.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	(sqrt.p16 (-.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)) (/.p16 (real->posit16 1.0) a))
0.0ms	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))) b)

simplify8.4s

Counts

87 → 87

Iterations

Iter	Nodes
done	5216
2	717
1	177
0	75

prune1.8s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 1.1b

regimes1.1s

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	18
0	18

end0.0ms

sample3.2s

Algorithm: halfpoints