Details

sample231.0ms

Algorithm: halfpoints

simplify59.0ms

Counts

1 → 1

Iterations

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

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize239.0ms

Local error

Found 4 expressions with local error:

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))
0.3b	(sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 a c)))
1.1b	(-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 a c))))

rewrite22.0ms

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:

6.0ms	(/.p16 (-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 a c)))) a)
6.0ms	(-.p16 (.p16 b_2 b_2) (.p16 a c))
0.0ms	(sqrt.p16 (-.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))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

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	(sqrt.p16 (-.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))))

simplify42.4s

Counts

73 → 73

Iterations

Iter	Nodes
4	23275
3	1861
2	316
1	81
0	44

prune1.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.2b

localize275.0ms

Local error

Found 4 expressions with local error:

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)
0.3b	(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)))
1.1b	(-.p16 (neg.p16 b_2) (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c))))
7.2b	(quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)

rewrite11.0ms

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:

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

series0.0ms

Counts

4 → 4

Calls

4 calls:

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

simplify17.0s

Counts

55 → 55

Iterations

Iter	Nodes
4	13003
3	978
2	166
1	51
0	33

prune932.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.2b

localize296.0ms

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	(-.p16 (.p16 b_2 b_2) (.p16 c a))
0.3b	(sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a)))
1.1b	(+.p16 (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a))) b_2)

rewrite25.0ms

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:

11.0ms	(/.p16 a (-.p16 (real->posit16 0.0) (+.p16 (sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a))) b_2)))
6.0ms	(-.p16 (.p16 b_2 b_2) (.p16 c a))
0.0ms	(sqrt.p16 (-.p16 (.p16 b_2 b_2) (.p16 c a)))
6.0ms	(+.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	(-.p16 (.p16 b_2 b_2) (.p16 c a))
0.0ms	(sqrt.p16 (-.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)

simplify2.7s

Counts

61 → 61

Iterations

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

prune999.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 1.2b

localize274.0ms

Local error

Found 4 expressions with local error:

1.1b	(-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c))) b_2)
7.2b	(quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)
7.2b	(quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)
7.2b	(quire16-mul-sub (posit16->quire16 (*.p16 b_2 b_2)) a c)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 14

Calls

4 calls:

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

series0.0ms

Counts

4 → 4

Calls

4 calls:

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

simplify1.6s

Counts

18 → 18

Iterations

Iter	Nodes
5	4373
4	967
3	325
2	82
1	41
0	26

prune267.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 1.2b

regimes587.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
1	11
0	11

end0.0ms

sample3.4s

Algorithm: halfpoints