Details

sample190.0ms

Algorithm: halfpoints

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5005
4	1843
3	376
2	92
1	32
0	12

prune64.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.1b

localize236.0ms

Local error

Found 4 expressions with local error:

0.2b	(.p16 (.p16 i i) (*.p16 i i))
0.2b	(-.p16 (.p16 (.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0))
0.7b	(/.p16 (/.p16 (.p16 (.p16 i i) (.p16 i i)) (.p16 (.p16 (real->posit16 2) i) (.p16 (real->posit16 2) i))) (-.p16 (.p16 (.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
2.1b	(/.p16 (.p16 (.p16 i i) (.p16 i i)) (.p16 (.p16 (real->posit16 2) i) (.p16 (real->posit16 2) i)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

72×	`p16-times-frac`
55×	`/p16-rgt-identity-expand`
47×	`associate-/r/`
38×	`associate-*l/`
34×	`p16-lft-identity-expand` `p16-rgt-identity-expand` `p16-*-un-lft-identity`
33×	`difference-of-squares`
20×	`associate-*r/`
11×	`difference-of-sqr-1`
10×	`+p16-lft-identity-expand` `+p16-rgt-identity-expand` `associate-/l*`
8×	`associate-/r*` `introduce-quire`
6×	`-p16-rgt-identity-expand` `associate--l+`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-/l/`
3×	`insert-quire-fdp-sub`
2×	`p16-flip--` `associate--r+`
1×	`associate--l-` `insert-quire-sub` `sub-neg` `associate-r` `associate-l` `*-commutative` `associate--r-`

Counts

4 → 154

Calls

4 calls:

5.0ms	(.p16 (.p16 i i) (*.p16 i i))
3.0ms	(-.p16 (.p16 (.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0))
9.0ms	(/.p16 (/.p16 (.p16 (.p16 i i) (.p16 i i)) (.p16 (.p16 (real->posit16 2) i) (.p16 (real->posit16 2) i))) (-.p16 (.p16 (.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
9.0ms	(/.p16 (.p16 (.p16 i i) (.p16 i i)) (.p16 (.p16 (real->posit16 2) i) (.p16 (real->posit16 2) i)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(.p16 (.p16 i i) (*.p16 i i))
0.0ms	(-.p16 (.p16 (.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0))
0.0ms	(/.p16 (/.p16 (.p16 (.p16 i i) (.p16 i i)) (.p16 (.p16 (real->posit16 2) i) (.p16 (real->posit16 2) i))) (-.p16 (.p16 (.p16 (real->posit16 2) i) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
0.0ms	(/.p16 (.p16 (.p16 i i) (.p16 i i)) (.p16 (.p16 (real->posit16 2) i) (.p16 (real->posit16 2) i)))

simplify11.6s

Counts

158 → 158

Iterations

Iter	Nodes
done	5034
3	4860
2	612
1	141
0	58

prune1.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.2b

localize270.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))
0.3b	(/.p16 (real->posit16 1.0) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
0.3b	(.p16 (/.p16 (real->posit16 1.0) (+.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.p16 (.p16 (/.p16 i (real->posit16 2)) (/.p16 i (real->posit16 2))) (-.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0))))
0.7b	(/.p16 (.p16 (/.p16 i (real->posit16 2)) (/.p16 i (real->posit16 2))) (-.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

3.0ms	(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))
5.0ms	(/.p16 (real->posit16 1.0) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
12.0ms	(.p16 (/.p16 (real->posit16 1.0) (+.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.p16 (.p16 (/.p16 i (real->posit16 2)) (/.p16 i (real->posit16 2))) (-.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0))))
7.0ms	(/.p16 (.p16 (/.p16 i (real->posit16 2)) (/.p16 i (real->posit16 2))) (-.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))
0.0ms	(/.p16 (real->posit16 1.0) (+.p16 (*.p16 (real->posit16 2) i) (real->posit16 1.0)))
0.0ms	(.p16 (/.p16 (real->posit16 1.0) (+.p16 (.p16 (real->posit16 2) i) (real->posit16 1.0))) (/.p16 (.p16 (/.p16 i (real->posit16 2)) (/.p16 i (real->posit16 2))) (-.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0))))
0.0ms	(/.p16 (.p16 (/.p16 i (real->posit16 2)) (/.p16 i (real->posit16 2))) (-.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0)))

simplify9.4s

Counts

109 → 109

Iterations

Iter	Nodes
done	5001
3	2723
2	565
1	142
0	55

prune1.4s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize205.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))
0.2b	(.p16 (/.p16 i (.p16 (+.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0)) (real->posit16 2))) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0))))
0.3b	(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
0.4b	(/.p16 i (.p16 (+.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0)) (real->posit16 2)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

24×	`p16-times-frac`
23×	`p16-lft-identity-expand` `p16-rgt-identity-expand` `p16-*-un-lft-identity`
19×	`/p16-rgt-identity-expand`
17×	`associate-r` `associate-/r/`
10×	`+p16-lft-identity-expand` `+p16-rgt-identity-expand`
8×	`introduce-quire`
6×	`associate-l` `-p16-rgt-identity-expand` `associate--l+`
4×	`distribute-rgt-in` `associate-/r` `distribute-lft-in` `associate-/l`
3×	`associate-l/` `associate-r/` `p16-flip--` `insert-quire-fdp-sub`
2×	`associate--r+`
1×	`associate--l-` `insert-quire-sub` `sub-neg` `*-commutative` `associate--r-` `associate-/l/`

Counts

4 → 104

Calls

4 calls:

2.0ms	(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))
4.0ms	(.p16 (/.p16 i (.p16 (+.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0)) (real->posit16 2))) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0))))
3.0ms	(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
2.0ms	(/.p16 i (.p16 (+.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0)) (real->posit16 2)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))
0.0ms	(.p16 (/.p16 i (.p16 (+.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0)) (real->posit16 2))) (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0))))
0.0ms	(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
0.0ms	(/.p16 i (.p16 (+.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0)) (real->posit16 2)))

simplify3.6s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
3	3208
2	604
1	131
0	53

prune1.5s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize266.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))
0.2b	(.p16 i (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0))))
0.3b	(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
0.4b	(/.p16 (.p16 i (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0)))) (.p16 (+.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0)) (real->posit16 2)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`p16-times-frac`
22×	`p16-lft-identity-expand` `p16-rgt-identity-expand` `p16-*-un-lft-identity`
17×	`associate-r` `/p16-rgt-identity-expand`
14×	`associate-/r/`
10×	`+p16-lft-identity-expand` `+p16-rgt-identity-expand`
8×	`introduce-quire`
6×	`-p16-rgt-identity-expand` `associate--l+`
5×	`associate-/l*`
4×	`distribute-rgt-in` `associate-/r*` `distribute-lft-in`
3×	`associate-*r/` `p16-flip--` `insert-quire-fdp-sub` `associate-/l/`
2×	`associate--r+`
1×	`associate--l-` `insert-quire-sub` `sub-neg` `associate-l/` `-commutative` `associate--r-`

Counts

4 → 101

Calls

4 calls:

2.0ms	(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))
4.0ms	(.p16 i (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0))))
3.0ms	(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
4.0ms	(/.p16 (.p16 i (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0)))) (.p16 (+.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0)) (real->posit16 2)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))
0.0ms	(.p16 i (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0))))
0.0ms	(/.p16 (/.p16 i (real->posit16 2)) (-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0)))
0.0ms	(/.p16 (.p16 i (/.p16 (/.p16 i (real->posit16 2)) (-.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0)))) (.p16 (+.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0)) (real->posit16 2)))

simplify1.8s

Counts

105 → 105

Iterations

Iter	Nodes
done	5023
3	2329
2	463
1	118
0	54

prune1.7s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.1b

regimes296.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	13
0	13

end0.0ms

sample5.0s

Algorithm: halfpoints