Details

sample569.0ms

Algorithm: halfpoints

simplify32.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	35
3	35
2	34
1	26
0	16

prune56.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize233.0ms

Local error

Found 4 expressions with local error:

0.3b	(-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))
0.3b	(/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (.p16 c a) (real->posit16 4)))) b) (.p16 (real->posit16 2) a))
0.3b	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4))))
0.7b	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 c a) (real->posit16 4)))) b)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

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

series0.0ms

Counts

4 → 4

Calls

4 calls:

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

simplify1.3s

Counts

67 → 67

Iterations

Iter	Nodes
done	2101
3	2101
2	419
1	113
0	55

prune1.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.9b

localize286.0ms

Local error

Found 4 expressions with local error:

0.3b	(/.p16 (-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 c a) (real->posit16 4)))) b) (*.p16 (real->posit16 2) a))
0.3b	(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 c a) (real->posit16 4))))
0.7b	(-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 c a) (real->posit16 4)))) b)
11.7b	(quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 c a) (real->posit16 4))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

6×	`/p16-rgt-identity-expand`
5×	`p16-lft-identity-expand` `p16-rgt-identity-expand` `p16-*-un-lft-identity`
4×	`+p16-lft-identity-expand` `introduce-quire` `-p16-rgt-identity-expand` `+p16-rgt-identity-expand`
3×	`p16-times-frac` `associate-/l*`
2×	`associate--l+` `p16-flip--` `associate-/r/` `associate-/l/`
1×	`associate--l-` `insert-quire-sub` `associate-/r` `sub-neg` `associate-l/`

Counts

4 → 41

Calls

4 calls:

8.0ms	(/.p16 (-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 c a) (real->posit16 4)))) b) (*.p16 (real->posit16 2) a))
0.0ms	(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 c a) (real->posit16 4))))
4.0ms	(-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 c a) (real->posit16 4)))) b)
0.0ms	(quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 c a) (real->posit16 4))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/.p16 (-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 c a) (real->posit16 4)))) b) (*.p16 (real->posit16 2) a))
0.0ms	(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 c a) (real->posit16 4))))
0.0ms	(-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 c a) (real->posit16 4)))) b)
0.0ms	(quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 c a) (real->posit16 4))

simplify1.5s

Counts

45 → 45

Iterations

Iter	Nodes
done	2001
4	2001
3	626
2	171
1	62
0	38

prune917.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.9b

localize316.0ms

Local error

Found 4 expressions with local error:

0.3b	(/.p16 (-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 c a) (real->posit16 4)))) b) a)
0.3b	(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 c a) (real->posit16 4))))
0.7b	(-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 c a) (real->posit16 4)))) b)
11.7b	(quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 c a) (real->posit16 4))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`p16-lft-identity-expand` `+p16-lft-identity-expand` `introduce-quire` `-p16-rgt-identity-expand` `/p16-rgt-identity-expand` `p16-rgt-identity-expand` `+p16-rgt-identity-expand` `p16-*-un-lft-identity`
3×	`associate-/l*`
2×	`associate--l+` `p16-flip--` `associate-/l/`
1×	`associate--l-` `insert-quire-sub` `sub-neg`

Counts

4 → 35

Calls

4 calls:

3.0ms	(/.p16 (-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 c a) (real->posit16 4)))) b) a)
0.0ms	(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 c a) (real->posit16 4))))
2.0ms	(-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 c a) (real->posit16 4)))) b)
0.0ms	(quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 c a) (real->posit16 4))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/.p16 (-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 c a) (real->posit16 4)))) b) a)
0.0ms	(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 c a) (real->posit16 4))))
0.0ms	(-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 c a) (real->posit16 4)))) b)
0.0ms	(quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 c a) (real->posit16 4))

simplify1.1s

Counts

39 → 39

Iterations

Iter	Nodes
done	2000
5	2000
4	430
3	132
2	66
1	50
0	34

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.9b

localize280.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 c a) (real->posit16 4))))
0.4b	(.p16 (/.p16 (-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (*.p16 c a) (real->posit16 4)))) b) (real->posit16 2)) (/.p16 (real->posit16 1.0) a))
0.7b	(-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 c a) (real->posit16 4)))) b)
11.7b	(quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 c a) (real->posit16 4))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

0.0ms	(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 c a) (real->posit16 4))))
7.0ms	(.p16 (/.p16 (-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (*.p16 c a) (real->posit16 4)))) b) (real->posit16 2)) (/.p16 (real->posit16 1.0) a))
15.0ms	(-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 c a) (real->posit16 4)))) b)
1.0ms	(quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 c a) (real->posit16 4))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 c a) (real->posit16 4))))
0.0ms	(.p16 (/.p16 (-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (*.p16 c a) (real->posit16 4)))) b) (real->posit16 2)) (/.p16 (real->posit16 1.0) a))
0.0ms	(-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 c a) (real->posit16 4)))) b)
0.0ms	(quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 c a) (real->posit16 4))

simplify8.2s

Counts

57 → 57

Iterations

Iter	Nodes
done	2572
4	2572
3	722
2	258
1	89
0	43

prune1.4s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.9b

regimes1.2s

Accuracy

0% (0.4b remaining)

Error of 1.5b against oracle of 1.1b and baseline of 1.5b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	19
0	19

end0.0ms

sample3.8s

Algorithm: halfpoints