Details

sample1.8s

Algorithm: halfpoints

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5006
4	3599
3	582
2	107
1	34
0	15

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize283.0ms

Local error

Found 4 expressions with local error:

0.2b	(.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b))
0.4b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.5b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.5b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

11×	`+p16-lft-identity-expand` `+p16-rgt-identity-expand`
10×	`associate--l+`
7×	`introduce-quire` `-p16-rgt-identity-expand` `/p16-rgt-identity-expand`
5×	`distribute-rgt-in` `sub-neg` `p16-lft-identity-expand` `distribute-lft-in` `associate-l/` `p16-flip--` `p16-rgt-identity-expand` `p16--un-lft-identity`
4×	`associate-*r/`
3×	`associate--l-` `insert-quire-sub` `associate-r`
1×	`associate-l` `*-commutative`

Counts

4 → 71

Calls

4 calls:

31.0ms	(.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b))
48.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
51.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
27.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b))
0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)

simplify3.8s

Counts

75 → 75

Iterations

Iter	Nodes
done	5009
3	4176
2	542
1	143
0	62

prune1.5s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize251.0ms

Local error

Found 4 expressions with local error:

0.2b	(.p16 (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b) (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)))
0.4b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.5b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.5b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

22×	`distribute-rgt-in` `distribute-lft-in`
17×	`+p16-lft-identity-expand` `+p16-rgt-identity-expand`
14×	`associate--l+`
7×	`sub-neg` `introduce-quire` `-p16-rgt-identity-expand` `/p16-rgt-identity-expand`
6×	`associate-*r/`
5×	`p16-lft-identity-expand` `p16-flip--` `p16-rgt-identity-expand` `p16-*-un-lft-identity`
3×	`associate--l-` `insert-quire-sub` `associate-l` `associate-*l/`
1×	`associate-r` `*-commutative`

Counts

4 → 85

Calls

4 calls:

34.0ms	(.p16 (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b) (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)))
27.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
34.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
28.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(.p16 (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b) (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)))
0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)

simplify2.5s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	610
1	174
0	77

prune1.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize232.0ms

Local error

Found 4 expressions with local error:

0.2b	(.p16 (.p16 (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))
0.4b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.5b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.5b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

62.0ms	(.p16 (.p16 (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))
42.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
27.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
48.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(.p16 (.p16 (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))
0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a)
0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)

simplify4.0s

Counts

75 → 75

Iterations

Iter	Nodes
done	5036
3	4524
2	550
1	145
0	60

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize445.0ms

Local error

Found 4 expressions with local error:

0.5b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.5b	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
0.5b	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 a a))
1.1b	(/.p16 (.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 a a))) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

34.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
31.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
3.0ms	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 a a))
106.0ms	(/.p16 (.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 a a))) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)
0.0ms	(-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c)
0.0ms	(-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 a a))
0.0ms	(/.p16 (.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (.p16 a a))) (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))

simplify4.3s

Counts

78 → 78

Iterations

Iter	Nodes
done	5010
3	3214
2	633
1	148
0	66

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes666.0ms

Accuracy

0% (0.0b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	15
0	15

end0.0ms

sample32.1s

Algorithm: halfpoints