Details

sample200.0ms

Algorithm: halfpoints

simplify17.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	16
2	16
1	14
0	10

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize126.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a)))
0.3b	(/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a))) b_2) a)
0.3b	(-.p16 (.p16 b_2 b_2) (.p16 c a))
1.0b	(-.p16 (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a))) b_2)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

0.0ms	(sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a)))
4.0ms	(/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a))) b_2) a)
3.0ms	(-.p16 (.p16 b_2 b_2) (.p16 c a))
4.0ms	(-.p16 (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a))) b_2)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a)))
0.0ms	(/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a))) b_2) a)
0.0ms	(-.p16 (.p16 b_2 b_2) (.p16 c a))
0.0ms	(-.p16 (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a))) b_2)

simplify25.7s

Counts

57 → 57

Iterations

Iter	Nodes
4	12196
3	986
2	191
1	72
0	39

prune1.5s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.3b

localize209.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) c a)))
0.3b	(/.p16 (-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) c a))) b_2) a)
1.0b	(-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) c a))) b_2)
5.2b	(quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) c a)

rewrite13.0ms

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:

0.0ms	(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) c a)))
7.0ms	(/.p16 (-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) c a))) b_2) a)
5.0ms	(-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) c a))) b_2)
1.0ms	(quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) c a)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) c a)))
0.0ms	(/.p16 (-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) c a))) b_2) a)
0.0ms	(-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) c a))) b_2)
0.0ms	(quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) c a)

simplify1.0m

Counts

39 → 39

Iterations

Iter	Nodes
6	5937
5	1681
4	332
3	114
2	53
1	41
0	28

prune1.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.3b

localize177.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a)))
0.3b	(-.p16 (.p16 b_2 b_2) (.p16 c a))
0.3b	(/.p16 a (-.p16 (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a))) b_2))
1.0b	(-.p16 (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a))) b_2)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

0.0ms	(sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a)))
4.0ms	(-.p16 (.p16 b_2 b_2) (.p16 c a))
2.0ms	(/.p16 a (-.p16 (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a))) b_2))
3.0ms	(-.p16 (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a))) b_2)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a)))
0.0ms	(-.p16 (.p16 b_2 b_2) (.p16 c a))
0.0ms	(/.p16 a (-.p16 (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a))) b_2))
0.0ms	(-.p16 (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a))) b_2)

simplify11.0s

Counts

57 → 57

Iterations

Iter	Nodes
4	9160
3	936
2	182
1	63
0	37

prune2.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 1.3b

localize200.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt.p16 (/.p16 (-.p16 (.p16 (.p16 b_2 b_2) (.p16 b_2 b_2)) (.p16 (.p16 c a) (.p16 c a))) (+.p16 (.p16 b_2 b_2) (.p16 c a))))
0.3b	(/.p16 (-.p16 (sqrt.p16 (/.p16 (-.p16 (.p16 (.p16 b_2 b_2) (.p16 b_2 b_2)) (.p16 (.p16 c a) (.p16 c a))) (+.p16 (.p16 b_2 b_2) (.p16 c a)))) b_2) a)
1.0b	(-.p16 (sqrt.p16 (/.p16 (-.p16 (.p16 (.p16 b_2 b_2) (.p16 b_2 b_2)) (.p16 (.p16 c a) (.p16 c a))) (+.p16 (.p16 b_2 b_2) (.p16 c a)))) b_2)
1.5b	(/.p16 (-.p16 (.p16 (.p16 b_2 b_2) (.p16 b_2 b_2)) (.p16 (.p16 c a) (.p16 c a))) (+.p16 (.p16 b_2 b_2) (.p16 c a)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

0.0ms	(sqrt.p16 (/.p16 (-.p16 (.p16 (.p16 b_2 b_2) (.p16 b_2 b_2)) (.p16 (.p16 c a) (.p16 c a))) (+.p16 (.p16 b_2 b_2) (.p16 c a))))
3.0ms	(/.p16 (-.p16 (sqrt.p16 (/.p16 (-.p16 (.p16 (.p16 b_2 b_2) (.p16 b_2 b_2)) (.p16 (.p16 c a) (.p16 c a))) (+.p16 (.p16 b_2 b_2) (.p16 c a)))) b_2) a)
2.0ms	(-.p16 (sqrt.p16 (/.p16 (-.p16 (.p16 (.p16 b_2 b_2) (.p16 b_2 b_2)) (.p16 (.p16 c a) (.p16 c a))) (+.p16 (.p16 b_2 b_2) (.p16 c a)))) b_2)
9.0ms	(/.p16 (-.p16 (.p16 (.p16 b_2 b_2) (.p16 b_2 b_2)) (.p16 (.p16 c a) (.p16 c a))) (+.p16 (.p16 b_2 b_2) (.p16 c a)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(sqrt.p16 (/.p16 (-.p16 (.p16 (.p16 b_2 b_2) (.p16 b_2 b_2)) (.p16 (.p16 c a) (.p16 c a))) (+.p16 (.p16 b_2 b_2) (.p16 c a))))
0.0ms	(/.p16 (-.p16 (sqrt.p16 (/.p16 (-.p16 (.p16 (.p16 b_2 b_2) (.p16 b_2 b_2)) (.p16 (.p16 c a) (.p16 c a))) (+.p16 (.p16 b_2 b_2) (.p16 c a)))) b_2) a)
0.0ms	(-.p16 (sqrt.p16 (/.p16 (-.p16 (.p16 (.p16 b_2 b_2) (.p16 b_2 b_2)) (.p16 (.p16 c a) (.p16 c a))) (+.p16 (.p16 b_2 b_2) (.p16 c a)))) b_2)
0.0ms	(/.p16 (-.p16 (.p16 (.p16 b_2 b_2) (.p16 b_2 b_2)) (.p16 (.p16 c a) (.p16 c a))) (+.p16 (.p16 b_2 b_2) (.p16 c a)))

simplify3.4s

Counts

69 → 69

Iterations

Iter	Nodes
4	5818
3	1096
2	240
1	82
0	45

prune1.9s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 1.3b

regimes561.0ms

Accuracy

0% (0.4b remaining)

Error of 1.6b against oracle of 1.2b and baseline of 1.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
1	10
0	10

end0.0ms

sample3.7s

Algorithm: halfpoints