Details

sample599.0ms

Algorithm: halfpoints

simplify42.0ms

Counts

1 → 1

Iterations

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

prune54.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize292.0ms

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

rewrite25.0ms

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:

6.0ms	(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 (real->posit16 4) (.p16 a c))))) (.p16 (real->posit16 2) a))
7.0ms	(.p16 (real->posit16 4) (.p16 a c))
0.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (real->posit16 4) (*.p16 a c))))
8.0ms	(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 (real->posit16 4) (*.p16 a c)))))

series1.0ms

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)))))

simplify2.1s

Counts

85 → 85

Iterations

Iter	Nodes
done	2016
4	2016
3	1967
2	348
1	89
0	48

prune6.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.0b

localize214.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

5.0ms	(-.p16 (.p16 b b) (.p16 c (*.p16 (real->posit16 4) a)))
4.0ms	(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (.p16 (real->posit16 4) a))))) (.p16 (real->posit16 2) a))
0.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 (real->posit16 4) a))))
2.0ms	(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 c (*.p16 (real->posit16 4) a)))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

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

simplify897.0ms

Counts

88 → 88

Iterations

Iter	Nodes
done	2002
3	2002
2	543
1	118
0	60

prune6.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.0b

localize336.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

35×	`p16-lft-identity-expand` `p16--un-lft-identity`
31×	`associate-l`
27×	`*p16-rgt-identity-expand`
24×	`p16-times-frac`
16×	`distribute-lft-out--`
10×	`+p16-lft-identity-expand` `+p16-rgt-identity-expand`
8×	`introduce-quire`
7×	`/p16-rgt-identity-expand`
6×	`-p16-rgt-identity-expand`
4×	`distribute-rgt-in` `distribute-lft-in` `distribute-rgt-out--` `associate-r`
3×	`insert-quire-fdp-sub`
2×	`associate-l/` `associate--l+` `associate-r/` `*-commutative` `associate--r+`
1×	`associate--l-` `insert-quire-sub` `sub-neg` `p16-flip--` `associate-/r/` `associate--r-`

Counts

4 → 98

Calls

4 calls:

9.0ms	(.p16 (/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 (real->posit16 4) (.p16 a c))))) (real->posit16 2)) (/.p16 (real->posit16 1.0) 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 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 (real->posit16 4) (.p16 a c))))) (real->posit16 2)) (/.p16 (real->posit16 1.0) 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)))))

simplify15.0s

Counts

102 → 102

Iterations

Iter	Nodes
done	2057
3	2057
2	401
1	116
0	53

prune7.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.0b

localize484.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

41×	`p16-lft-identity-expand` `p16--un-lft-identity`
33×	`p16-times-frac` `*p16-rgt-identity-expand`
31×	`associate-l`
16×	`distribute-lft-out--`
14×	`associate-r`
10×	`+p16-lft-identity-expand` `+p16-rgt-identity-expand`
8×	`introduce-quire` `/p16-rgt-identity-expand`
6×	`-p16-rgt-identity-expand`
4×	`distribute-rgt-in` `distribute-lft-in` `distribute-rgt-out--`
3×	`insert-quire-fdp-sub`
2×	`associate-l/` `associate--l+` `associate-r/` `associate-/r/` `*-commutative` `associate--r+`
1×	`associate--l-` `insert-quire-sub` `sub-neg` `p16-flip--` `associate--r-`

Counts

4 → 108

Calls

4 calls:

9.0ms	(.p16 (real->posit16 4) (.p16 a c))
12.0ms	(.p16 (/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 (real->posit16 4) (.p16 a c))))) (real->posit16 1.0)) (/.p16 (/.p16 (real->posit16 1.0) a) (real->posit16 2)))
1.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (real->posit16 4) (*.p16 a c))))
7.0ms	(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (.p16 b b) (.p16 (real->posit16 4) (*.p16 a c)))))

series1.0ms

Counts

4 → 4

Calls

4 calls:

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

simplify4.4s

Counts

112 → 112

Iterations

Iter	Nodes
done	2001
3	2001
2	490
1	123
0	56

prune8.9s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.0b

regimes925.0ms

Accuracy

0% (0.5b remaining)

Error of 1.6b against oracle of 1.1b and baseline of 1.6b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	20
0	20

end0.0ms

sample3.6s

Algorithm: halfpoints