Details

sample236.0ms

Algorithm: halfpoints

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	1467
3	322
2	88
1	32
0	12

prune53.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize277.0ms

Local error

Found 4 expressions with local error:

0.1b	(.p16 (real->posit16 2) (-.p16 (.p16 (.p16 i (real->posit16 2)) (.p16 i (real->posit16 2))) (real->posit16 1.0)))
0.2b	(-.p16 (.p16 (.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))
0.6b	(.p16 i (/.p16 i (.p16 (real->posit16 2) (.p16 (real->posit16 2) (-.p16 (.p16 (.p16 i (real->posit16 2)) (.p16 i (real->posit16 2))) (real->posit16 1.0))))))
0.6b	(/.p16 i (.p16 (real->posit16 2) (.p16 (real->posit16 2) (-.p16 (.p16 (.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

50×	`distribute-rgt-in` `distribute-lft-in`
42×	`associate--l+`
30×	`+p16-lft-identity-expand` `+p16-rgt-identity-expand`
16×	`associate-r` `/p16-rgt-identity-expand`
15×	`associate-*r/`
12×	`associate-/r/`
10×	`p16-lft-identity-expand` `p16-rgt-identity-expand` `p16-*-un-lft-identity`
8×	`introduce-quire` `-p16-rgt-identity-expand`
6×	`difference-of-squares`
5×	`associate-*l/`
4×	`p16-flip--`
3×	`sub-neg` `associate-l` `insert-quire-fdp-sub` `associate--r-`
2×	`difference-of-sqr-1` `*-commutative` `associate--r+`
1×	`associate--l-` `insert-quire-sub` `associate-/r*`

Counts

4 → 132

Calls

4 calls:

10.0ms	(.p16 (real->posit16 2) (-.p16 (.p16 (.p16 i (real->posit16 2)) (.p16 i (real->posit16 2))) (real->posit16 1.0)))
5.0ms	(-.p16 (.p16 (.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))
6.0ms	(.p16 i (/.p16 i (.p16 (real->posit16 2) (.p16 (real->posit16 2) (-.p16 (.p16 (.p16 i (real->posit16 2)) (.p16 i (real->posit16 2))) (real->posit16 1.0))))))
6.0ms	(/.p16 i (.p16 (real->posit16 2) (.p16 (real->posit16 2) (-.p16 (.p16 (.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

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

simplify1.7s

Counts

136 → 136

Iterations

Iter	Nodes
done	5145
2	817
1	251
0	101

prune1.7s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.8b

localize194.0ms

Local error

Found 4 expressions with local error:

0.1b	(.p16 (real->posit16 2) (-.p16 (.p16 (.p16 i (real->posit16 2)) (.p16 i (real->posit16 2))) (real->posit16 1.0)))
0.2b	(-.p16 (.p16 (.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))
0.5b	(/.p16 (/.p16 i (real->posit16 2)) (.p16 (real->posit16 2) (-.p16 (.p16 (.p16 i (real->posit16 2)) (.p16 i (real->posit16 2))) (real->posit16 1.0))))
0.6b	(.p16 i (/.p16 (/.p16 i (real->posit16 2)) (.p16 (real->posit16 2) (-.p16 (.p16 (.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

50×	`distribute-rgt-in` `distribute-lft-in`
42×	`associate--l+`
30×	`+p16-lft-identity-expand` `+p16-rgt-identity-expand`
18×	`associate-r`
15×	`/p16-rgt-identity-expand`
13×	`p16-lft-identity-expand` `p16-rgt-identity-expand` `p16-*-un-lft-identity`
11×	`associate-/r/`
8×	`introduce-quire` `p16-times-frac` `-p16-rgt-identity-expand`
7×	`associate-*r/`
6×	`difference-of-squares`
4×	`p16-flip--` `associate-/l*`
3×	`sub-neg` `associate-l` `associate-*l/` `insert-quire-fdp-sub` `associate--r-`
2×	`difference-of-sqr-1` `*-commutative` `associate--r+`
1×	`associate--l-` `insert-quire-sub` `associate-/r*` `associate-/l/`

Counts

4 → 141

Calls

4 calls:

5.0ms	(.p16 (real->posit16 2) (-.p16 (.p16 (.p16 i (real->posit16 2)) (.p16 i (real->posit16 2))) (real->posit16 1.0)))
3.0ms	(-.p16 (.p16 (.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))
11.0ms	(/.p16 (/.p16 i (real->posit16 2)) (.p16 (real->posit16 2) (-.p16 (.p16 (.p16 i (real->posit16 2)) (.p16 i (real->posit16 2))) (real->posit16 1.0))))
4.0ms	(.p16 i (/.p16 (/.p16 i (real->posit16 2)) (.p16 (real->posit16 2) (-.p16 (.p16 (.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

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

simplify1.2m

Counts

145 → 145

Iterations

Iter	Nodes
done	5030
2	939
1	275
0	108

prune1.6s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.5b

localize176.0ms

Local error

Found 4 expressions with local error:

0.0b	(.p16 (.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2)))
0.2b	(-.p16 (.p16 (.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))
0.5b	(/.p16 (/.p16 i (.p16 (real->posit16 2) (real->posit16 2))) (-.p16 (.p16 (.p16 i (real->posit16 2)) (.p16 i (real->posit16 2))) (real->posit16 1.0)))
0.6b	(.p16 i (/.p16 (/.p16 i (.p16 (real->posit16 2) (real->posit16 2))) (-.p16 (.p16 (.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

84×	`p16-times-frac`
55×	`/p16-rgt-identity-expand`
49×	`associate-/r/`
48×	`p16-lft-identity-expand` `associate-r` `p16-rgt-identity-expand` `p16-*-un-lft-identity`
42×	`difference-of-squares`
22×	`distribute-rgt-in` `distribute-lft-in`
20×	`+p16-lft-identity-expand` `associate-*r/` `+p16-rgt-identity-expand`
17×	`associate-*l/`
14×	`difference-of-sqr-1` `associate--l+`
8×	`introduce-quire`
7×	`associate-/r*`
6×	`-p16-rgt-identity-expand` `associate-/l*`
3×	`p16-flip--` `insert-quire-fdp-sub`
2×	`*-commutative` `associate--r+`
1×	`associate--l-` `insert-quire-sub` `sub-neg` `associate-l` `associate--r-` `associate-/l/`

Counts

4 → 190

Calls

4 calls:

12.0ms	(.p16 (.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2)))
3.0ms	(-.p16 (.p16 (.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))
4.0ms	(/.p16 (/.p16 i (.p16 (real->posit16 2) (real->posit16 2))) (-.p16 (.p16 (.p16 i (real->posit16 2)) (.p16 i (real->posit16 2))) (real->posit16 1.0)))
5.0ms	(.p16 i (/.p16 (/.p16 i (.p16 (real->posit16 2) (real->posit16 2))) (-.p16 (.p16 (.p16 i (real->posit16 2)) (*.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)) (*.p16 i (real->posit16 2)))
0.0ms	(-.p16 (.p16 (.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))
0.0ms	(/.p16 (/.p16 i (.p16 (real->posit16 2) (real->posit16 2))) (-.p16 (.p16 (.p16 i (real->posit16 2)) (.p16 i (real->posit16 2))) (real->posit16 1.0)))
0.0ms	(.p16 i (/.p16 (/.p16 i (.p16 (real->posit16 2) (real->posit16 2))) (-.p16 (.p16 (.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))))

simplify9.1s

Counts

194 → 194

Iterations

Iter	Nodes
done	5001
3	2957
2	528
1	185
0	70

prune1.6s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize294.0ms

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

2.0ms	(-.p16 (*.p16 i (real->posit16 2)) (real->posit16 1.0))
5.0ms	(.p16 (/.p16 i (+.p16 (real->posit16 1.0) (.p16 i (real->posit16 2)))) (/.p16 (/.p16 i (.p16 (real->posit16 2) (real->posit16 2))) (-.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0))))
4.0ms	(/.p16 (/.p16 i (.p16 (real->posit16 2) (real->posit16 2))) (-.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0)))
3.0ms	(/.p16 i (+.p16 (real->posit16 1.0) (*.p16 i (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 (real->posit16 1.0) (.p16 i (real->posit16 2)))) (/.p16 (/.p16 i (.p16 (real->posit16 2) (real->posit16 2))) (-.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0))))
0.0ms	(/.p16 (/.p16 i (.p16 (real->posit16 2) (real->posit16 2))) (-.p16 (.p16 i (real->posit16 2)) (real->posit16 1.0)))
0.0ms	(/.p16 i (+.p16 (real->posit16 1.0) (*.p16 i (real->posit16 2))))

simplify3.8s

Counts

120 → 120

Iterations

Iter	Nodes
done	5009
3	4310
2	729
1	137
0	54

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

regimes256.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
0	14

end0.0ms

sample5.0s

Algorithm: halfpoints