Details

sample187.0ms

Algorithm: halfpoints

simplify28.0ms

Counts

1 → 1

Iterations

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

prune46.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

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) (.p16 (real->posit16 2) a))
0.4b	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4))))
0.9b	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))) b)

rewrite23.0ms

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:

7.0ms	(.p16 (.p16 c a) (real->posit16 4))
8.0ms	(/.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))))
4.0ms	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))) b)

series1.0ms

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)

simplify4.5s

Counts

64 → 64

Iterations

Iter	Nodes
done	5006
3	812
2	227
1	83
0	43

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.0b

localize200.0ms

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 (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)))))
0.9b	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))) b)

rewrite21.0ms

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:

7.0ms	(-.p16 (.p16 b b) (.p16 c (*.p16 a (real->posit16 4))))
7.0ms	(/.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)

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)

simplify3.8s

Counts

75 → 75

Iterations

Iter	Nodes
done	5101
2	538
1	146
0	70

prune1.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.0b

localize316.0ms

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) a)
0.3b	(.p16 (.p16 c a) (real->posit16 4))
0.4b	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4))))
0.9b	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))) b)

rewrite33.0ms

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:

7.0ms	(/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))) b) a)
19.0ms	(.p16 (.p16 c a) (real->posit16 4))
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 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))) b) a)
0.0ms	(.p16 (.p16 c a) (real->posit16 4))
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)

simplify23.9s

Counts

58 → 58

Iterations

Iter	Nodes
done	5004
4	3660
3	307
2	112
1	69
0	39

prune1.2s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 1.0b

localize363.0ms

Local error

Found 4 expressions with local error:

0.3b	(.p16 (.p16 c a) (real->posit16 4))
0.4b	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4))))
0.4b	(.p16 (/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (.p16 c a) (real->posit16 4)))) b) (real->posit16 2)) (/.p16 (real->posit16 1.0) a))
0.9b	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))) b)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

16.0ms	(.p16 (.p16 c a) (real->posit16 4))
0.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4))))
8.0ms	(.p16 (/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (.p16 c a) (real->posit16 4)))) b) (real->posit16 2)) (/.p16 (real->posit16 1.0) a))
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	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4))))
0.0ms	(.p16 (/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (.p16 c a) (real->posit16 4)))) b) (real->posit16 2)) (/.p16 (real->posit16 1.0) a))
0.0ms	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))) b)

simplify7.9s

Counts

76 → 76

Iterations

Iter	Nodes
done	7457
3	1406
2	324
1	111
0	48

prune1.4s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 1.0b

regimes1.4s

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	15
0	15

end0.0ms

sample3.3s

Algorithm: halfpoints