Details

sample287.0ms

Algorithm: halfpoints

simplify49.0ms

Counts

1 → 1

Iterations

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

prune78.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize306.0ms

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)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

24×	`p16-times-frac`
23×	`p16-lft-identity-expand` `p16-rgt-identity-expand` `p16-*-un-lft-identity`
17×	`associate-l`
9×	`/p16-rgt-identity-expand`
8×	`associate-/r*`
7×	`+p16-lft-identity-expand` `+p16-rgt-identity-expand`
6×	`*-commutative`
5×	`introduce-quire` `-p16-rgt-identity-expand`
3×	`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` `sub-neg` `associate-*r/`

Counts

4 → 92

Calls

4 calls:

10.0ms	(/.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))))
9.0ms	(.p16 (.p16 c a) (real->posit16 4))
9.0ms	(-.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)

simplify3.5s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
3	840
2	273
1	102
0	51

prune1.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.1b

localize262.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

9.0ms	(/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 a (*.p16 (real->posit16 4) c)))) b) a)
32.0ms	(-.p16 (.p16 b b) (.p16 a (*.p16 (real->posit16 4) c)))
0.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 a (*.p16 (real->posit16 4) c))))
6.0ms	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 a (*.p16 (real->posit16 4) c)))) b)

series0.0ms

Counts

4 → 4

Calls

4 calls:

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

simplify5.0s

Counts

79 → 79

Iterations

Iter	Nodes
done	5054
3	3260
2	347
1	115
0	61

prune2.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.1b

localize310.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

0.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4))))
8.0ms	(.p16 (.p16 c a) (real->posit16 4))
25.0ms	(.p16 (/.p16 (real->posit16 1.0) a) (/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (.p16 c a) (real->posit16 4)))) b) (real->posit16 2)))
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	(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 (/.p16 (real->posit16 1.0) a) (/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (.p16 c a) (real->posit16 4)))) b) (real->posit16 2)))
0.0ms	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))) b)

simplify2.9s

Counts

94 → 94

Iterations

Iter	Nodes
done	7422
3	1398
2	356
1	117
0	51

prune1.7s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 1.1b

localize222.0ms

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

17.0ms	(-.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)))))
12.0ms	(.p16 (/.p16 (real->posit16 1.0) a) (/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (.p16 a (real->posit16 4))))) b) (real->posit16 2)))
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	(sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4)))))
0.0ms	(.p16 (/.p16 (real->posit16 1.0) a) (/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (.p16 a (real->posit16 4))))) b) (real->posit16 2)))
0.0ms	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))) b)

simplify2.6s

Counts

120 → 120

Iterations

Iter	Nodes
done	5627
2	792
1	195
0	87

prune2.6s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 1.1b

regimes1.6s

Accuracy

0% (0.5b remaining)

Error of 1.5b against oracle of 1.0b and baseline of 1.5b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	18
0	18

end0.0ms

sample3.8s

Algorithm: halfpoints