Details

sample286.0ms

Algorithm: halfpoints

simplify2.6s

Counts

1 → 1

Iterations

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

prune60.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize279.0ms

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 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))))))
0.5b	(/.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)))))

rewrite22.0ms

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:

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))
9.0ms	(.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))))))
3.0ms	(/.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)))))

simplify1.5s

Counts

136 → 136

Iterations

Iter	Nodes
done	5145
2	817
1	251
0	101

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.6b

localize257.0ms

Local error

Found 4 expressions with local error:

0.1b	(.p16 (real->posit16 2) (.p16 (real->posit16 2) (-.p16 (.p16 (.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))))
0.1b	(.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))
0.9b	(/.p16 (.p16 i 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)))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

162×	`distribute-rgt-in` `distribute-lft-in`
98×	`associate--l+`
62×	`+p16-lft-identity-expand` `+p16-rgt-identity-expand`
16×	`/p16-rgt-identity-expand`
14×	`associate-*r/`
12×	`-p16-rgt-identity-expand`
10×	`p16-lft-identity-expand` `p16-rgt-identity-expand` `p16-*-un-lft-identity`
8×	`introduce-quire` `associate-r`
7×	`sub-neg` `associate--r-`
6×	`associate-l` `associate-/r/` `difference-of-squares`
5×	`associate-*l/`
4×	`p16-flip--`
3×	`insert-quire-fdp-sub`
2×	`difference-of-sqr-1` `*-commutative` `associate--r+`
1×	`associate--l-` `insert-quire-sub` `associate-/r` `p16-times-frac` `associate-/l` `associate-/l/`

Counts

4 → 206

Calls

4 calls:

19.0ms	(.p16 (real->posit16 2) (.p16 (real->posit16 2) (-.p16 (.p16 (.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))))
17.0ms	(.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))
4.0ms	(/.p16 (.p16 i 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 (real->posit16 2) (-.p16 (.p16 (.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))))
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 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)))))

simplify2.8s

Counts

210 → 210

Iterations

Iter	Nodes
done	5565
2	1208
1	491
0	186

prune1.8s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.5b

localize327.0ms

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)))
0.1b	(/.p16 (*.p16 i i) (real->posit16 2))
0.2b	(-.p16 (.p16 (.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))
0.8b	(/.p16 (/.p16 (.p16 i i) (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

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

Counts

4 → 139

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 i i) (real->posit16 2))
5.0ms	(-.p16 (.p16 (.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))
8.0ms	(/.p16 (/.p16 (.p16 i 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 i 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 (.p16 i i) (real->posit16 2)) (.p16 (real->posit16 2) (-.p16 (.p16 (.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))))

simplify9.4s

Counts

143 → 143

Iterations

Iter	Nodes
done	5536
2	952
1	278
0	112

prune1.7s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.3b

localize204.0ms

Local error

Found 4 expressions with local error:

0.1b	(.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))
0.4b	(.p16 (/.p16 i (.p16 (real->posit16 2) (real->posit16 2))) (/.p16 i (-.p16 (.p16 (.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0))))
0.5b	(/.p16 i (-.p16 (.p16 (.p16 i (real->posit16 2)) (*.p16 i (real->posit16 2))) (real->posit16 1.0)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

22×	`distribute-rgt-in` `distribute-lft-in`
20×	`+p16-lft-identity-expand` `+p16-rgt-identity-expand`
14×	`associate--l+`
13×	`/p16-rgt-identity-expand`
10×	`p16-lft-identity-expand` `p16-rgt-identity-expand` `p16-*-un-lft-identity`
8×	`introduce-quire`
7×	`associate-/r` `associate-l*` `associate-/r/`
6×	`associate-r` `-p16-rgt-identity-expand` `associate-*r/` `difference-of-squares`
4×	`associate-*l/`
3×	`p16-flip--` `insert-quire-fdp-sub`
2×	`difference-of-sqr-1` `*-commutative` `associate--r+`
1×	`associate--l-` `insert-quire-sub` `sub-neg` `associate--r-`

Counts

4 → 106

Calls

4 calls:

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

simplify13.4s

Counts

110 → 110

Iterations

Iter	Nodes
done	5250
2	674
1	157
0	61

prune1.3s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

regimes316.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	13
0	13

end0.0ms

sample5.0s

Algorithm: halfpoints