Details

sample243.0ms

Algorithm: halfpoints

simplify28.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	18
3	18
2	17
1	15
0	10

prune45.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize177.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 a c)))
0.3b	(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 a c)))) a)
0.3b	(-.p16 (.p16 b_2 b_2) (.p16 a c))
0.9b	(-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 a c))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

14×	`p16-lft-identity-expand` `p16--un-lft-identity`
10×	`introduce-quire` `*p16-rgt-identity-expand`
8×	`+p16-lft-identity-expand` `-p16-rgt-identity-expand` `+p16-rgt-identity-expand` `associate-/l*` `distribute-lft-out--`
5×	`/p16-rgt-identity-expand`
4×	`associate--l+` `insert-quire-fdp-sub` `associate--r+`
3×	`p16-flip--`
2×	`associate--l-` `insert-quire-sub` `sub-neg` `distribute-rgt-out--` `associate--r-` `associate-/l/`

Counts

4 → 69

Calls

4 calls:

0.0ms	(sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 a c)))
7.0ms	(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 a c)))) a)
7.0ms	(-.p16 (.p16 b_2 b_2) (.p16 a c))
7.0ms	(-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 a c))))

series1.0ms

Counts

4 → 4

Calls

4 calls:

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

simplify33.5s

Counts

73 → 73

Iterations

Iter	Nodes
4	20051
3	1811
2	305
1	81
0	44

prune2.9s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.1b

localize200.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)))
0.3b	(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)))) a)
0.9b	(-.p16 (neg.p16 b_2) (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c))))
5.2b	(quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

0.0ms	(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)))
4.0ms	(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)))) a)
3.0ms	(-.p16 (neg.p16 b_2) (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c))))
0.0ms	(quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)

series0.0ms

Counts

4 → 4

Calls

4 calls:

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

simplify16.7s

Counts

55 → 55

Iterations

Iter	Nodes
4	12986
3	978
2	166
1	51
0	33

prune2.9s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.1b

localize250.0ms

Local error

Found 4 expressions with local error:

0.2b	(/.p16 a (-.p16 (real->posit16 0.0) (+.p16 (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a))) b_2)))
0.3b	(sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a)))
0.3b	(-.p16 (.p16 b_2 b_2) (.p16 c a))
0.9b	(+.p16 (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a))) b_2)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

9×	`p16-lft-identity-expand` `p16--un-lft-identity`
8×	`associate-/r*`
7×	`+p16-lft-identity-expand` `introduce-quire` `-p16-rgt-identity-expand` `*p16-rgt-identity-expand` `+p16-rgt-identity-expand`
5×	`/p16-rgt-identity-expand`
4×	`distribute-lft-out--`
2×	`associate-+l+` `associate--l+` `p16-flip--` `associate-/r/` `associate--r+`
1×	`associate--l-` `+-commutative` `insert-quire-sub` `sub-neg` `insert-quire-add` `distribute-rgt-out--` `associate-+l-` `insert-quire-fdp-sub` `associate--r-`

Counts

4 → 57

Calls

4 calls:

10.0ms	(/.p16 a (-.p16 (real->posit16 0.0) (+.p16 (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a))) b_2)))
0.0ms	(sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a)))
7.0ms	(-.p16 (.p16 b_2 b_2) (.p16 c a))
7.0ms	(+.p16 (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a))) b_2)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/.p16 a (-.p16 (real->posit16 0.0) (+.p16 (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a))) b_2)))
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 (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a))) b_2)

simplify2.6s

Counts

61 → 61

Iterations

Iter	Nodes
4	5263
3	794
2	242
1	75
0	38

prune3.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 1.0b

localize300.0ms

Local error

Found 4 expressions with local error:

0.7b	(.p16 (/.p16 a (-.p16 (.p16 (real->posit16 0.0) (real->posit16 0.0)) (.p16 (+.p16 (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a))) b_2) (+.p16 (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a))) b_2)))) (+.p16 (real->posit16 0.0) (+.p16 (sqrt.p16 (-.p16 (.p16 b_2 b_2) (*.p16 c a))) b_2)))
0.9b	(+.p16 (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a))) b_2)
0.9b	(+.p16 (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a))) b_2)
0.9b	(+.p16 (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a))) b_2)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

14×	`p16-lft-identity-expand` `p16--un-lft-identity`
12×	`associate-r`
8×	`*p16-rgt-identity-expand`
7×	`+p16-lft-identity-expand` `introduce-quire` `-p16-rgt-identity-expand` `+p16-rgt-identity-expand`
6×	`associate-+l+` `/p16-rgt-identity-expand`
5×	`associate-l`
4×	`p16-distribute-lft-out` `distribute-lft-out`
3×	`+-commutative` `insert-quire-add` `associate-+l-`
2×	`associate-/r/`
1×	`distribute-rgt-in` `distribute-lft-in` `distribute-rgt-out` `associate-l/` `associate-r/` `p16-flip--` `*-commutative`

Counts

4 → 69

Calls

4 calls:

16.0ms	(.p16 (/.p16 a (-.p16 (.p16 (real->posit16 0.0) (real->posit16 0.0)) (.p16 (+.p16 (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a))) b_2) (+.p16 (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a))) b_2)))) (+.p16 (real->posit16 0.0) (+.p16 (sqrt.p16 (-.p16 (.p16 b_2 b_2) (*.p16 c a))) b_2)))
7.0ms	(+.p16 (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a))) b_2)
6.0ms	(+.p16 (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a))) b_2)
7.0ms	(+.p16 (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a))) b_2)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(.p16 (/.p16 a (-.p16 (.p16 (real->posit16 0.0) (real->posit16 0.0)) (.p16 (+.p16 (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a))) b_2) (+.p16 (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a))) b_2)))) (+.p16 (real->posit16 0.0) (+.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)
0.0ms	(+.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)

simplify34.4s

Counts

73 → 73

Iterations

Iter	Nodes
4	15643
3	1874
2	342
1	94
0	33

prune3.3s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 1.0b

regimes747.0ms

Accuracy

0% (0.5b remaining)

Error of 1.7b against oracle of 1.2b and baseline of 1.7b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
1	11
0	11

end0.0ms

sample2.9s

Algorithm: halfpoints