Details

sample344.0ms

Algorithm: halfpoints

simplify185.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	37
3	37
2	35
1	27
0	16

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize269.0ms

Local error

Found 4 expressions with local error:

0.3b	(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 (real->posit16 4) (.p16 a c))))) (.p16 (real->posit16 2) a))
0.3b	(.p16 (real->posit16 4) (.p16 a c))
0.3b	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (real->posit16 4) (*.p16 a c))))
0.8b	(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 (real->posit16 4) (*.p16 a c)))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

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

series0.0ms

Counts

4 → 4

Calls

4 calls:

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

simplify1.1s

Counts

85 → 85

Iterations

Iter	Nodes
done	2016
3	1967
2	348
1	89
0	48

prune1.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.0b

localize243.0ms

Local error

Found 4 expressions with local error:

0.2b	(-.p16 (.p16 b b) (.p16 (*.p16 (real->posit16 4) a) c))
0.3b	(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 (.p16 (real->posit16 4) a) c)))) (.p16 (real->posit16 2) a))
0.3b	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 (real->posit16 4) a) c)))
0.8b	(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 (real->posit16 4) a) c))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

9.0ms	(-.p16 (.p16 b b) (.p16 (*.p16 (real->posit16 4) a) c))
8.0ms	(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 (.p16 (real->posit16 4) a) c)))) (.p16 (real->posit16 2) a))
0.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 (real->posit16 4) a) c)))
5.0ms	(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 (real->posit16 4) a) c))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

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

simplify593.0ms

Counts

84 → 84

Iterations

Iter	Nodes
done	2000
2	410
1	102
0	54

prune1.8s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.0b

localize306.0ms

Local error

Found 4 expressions with local error:

0.2b	(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 (real->posit16 4) (*.p16 a c))))) a)
0.3b	(.p16 (real->posit16 4) (.p16 a c))
0.3b	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (real->posit16 4) (*.p16 a c))))
0.8b	(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 (real->posit16 4) (*.p16 a c)))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

7.0ms	(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 (real->posit16 4) (*.p16 a c))))) a)
8.0ms	(.p16 (real->posit16 4) (.p16 a c))
0.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (real->posit16 4) (*.p16 a c))))
5.0ms	(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 (real->posit16 4) (*.p16 a c)))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

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

simplify1.1s

Counts

74 → 74

Iterations

Iter	Nodes
done	2004
3	1206
2	238
1	77
0	44

prune2.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.9b

localize383.0ms

Local error

Found 4 expressions with local error:

0.2b	(-.p16 (.p16 b b) (.p16 (*.p16 (real->posit16 4) a) c))
0.3b	(/.p16 (.p16 (real->posit16 2) a) (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 (.p16 (real->posit16 4) a) c)))))
0.3b	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 (real->posit16 4) a) c)))
0.8b	(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 (real->posit16 4) a) c))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

9.0ms	(-.p16 (.p16 b b) (.p16 (*.p16 (real->posit16 4) a) c))
8.0ms	(/.p16 (.p16 (real->posit16 2) a) (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 (.p16 (real->posit16 4) a) c)))))
0.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 (real->posit16 4) a) c)))
4.0ms	(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 (real->posit16 4) a) c))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

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

simplify763.0ms

Counts

84 → 84

Iterations

Iter	Nodes
done	2000
2	358
1	93
0	54

prune1.5s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.9b

regimes1.3s

Accuracy

0% (0.6b remaining)

Error of 1.7b against oracle of 1.1b and baseline of 1.7b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	19
0	19

end0.0ms

sample3.3s

Algorithm: halfpoints