Details

sample94.0ms

Algorithm: halfpoints

simplify58.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	34
3	34
2	32
1	24
0	14

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

localize116.0ms

Local error

Found 4 expressions with local error:

0.2b	(-.p16 (.p16 b b) (.p16 (*.p16 a #<cpointer:posit16>) c))
0.4b	(/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (.p16 a #<cpointer:posit16>) c))) b) (.p16 #<cpointer:posit16> a))
0.5b	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 a #<cpointer:posit16>) c)))
1.1b	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 a #<cpointer:posit16>) c))) b)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

9.0ms	(-.p16 (.p16 b b) (.p16 (*.p16 a #<cpointer:posit16>) c))
9.0ms	(/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (.p16 a #<cpointer:posit16>) c))) b) (.p16 #<cpointer:posit16> a))
1.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 a #<cpointer:posit16>) c)))
7.0ms	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 a #<cpointer:posit16>) c))) b)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(-.p16 (.p16 b b) (.p16 (*.p16 a #<cpointer:posit16>) c))
0.0ms	(/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (.p16 a #<cpointer:posit16>) c))) b) (.p16 #<cpointer:posit16> a))
0.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 a #<cpointer:posit16>) c)))
0.0ms	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 a #<cpointer:posit16>) c))) b)

simplify1.8s

Counts

63 → 63

Iterations

Iter	Nodes
done	5004
3	1358
2	301
1	92
0	47

prune516.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.3b

localize128.0ms

Local error

Found 4 expressions with local error:

0.4b	(/.p16 (-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 a #<cpointer:posit16>) c))) b) (*.p16 #<cpointer:posit16> a))
0.5b	(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 a #<cpointer:posit16>) c)))
1.1b	(-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 a #<cpointer:posit16>) c))) b)
6.4b	(quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 a #<cpointer:posit16>) c)

rewrite18.0ms

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:

9.0ms	(/.p16 (-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 a #<cpointer:posit16>) c))) b) (*.p16 #<cpointer:posit16> a))
1.0ms	(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 a #<cpointer:posit16>) c)))
5.0ms	(-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 a #<cpointer:posit16>) c))) b)
1.0ms	(quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 a #<cpointer:posit16>) c)

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 a #<cpointer:posit16>) c))) b) (*.p16 #<cpointer:posit16> a))
0.0ms	(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 a #<cpointer:posit16>) c)))
0.0ms	(-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 a #<cpointer:posit16>) c))) b)
0.0ms	(quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 a #<cpointer:posit16>) c)

simplify3.3s

Counts

45 → 45

Iterations

Iter	Nodes
done	5115
4	3155
3	572
2	171
1	60
0	36

prune487.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.3b

localize159.0ms

Local error

Found 4 expressions with local error:

0.4b	(.p16 (/.p16 (-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (*.p16 a #<cpointer:posit16>) c))) b) #<cpointer:posit16>) (/.p16 (real->posit16 1.0) a))
0.5b	(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 a #<cpointer:posit16>) c)))
1.1b	(-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 a #<cpointer:posit16>) c))) b)
6.4b	(quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 a #<cpointer:posit16>) c)

rewrite19.0ms

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:

9.0ms	(.p16 (/.p16 (-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (*.p16 a #<cpointer:posit16>) c))) b) #<cpointer:posit16>) (/.p16 (real->posit16 1.0) a))
1.0ms	(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 a #<cpointer:posit16>) c)))
5.0ms	(-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 a #<cpointer:posit16>) c))) b)
1.0ms	(quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 a #<cpointer:posit16>) c)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(.p16 (/.p16 (-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (*.p16 a #<cpointer:posit16>) c))) b) #<cpointer:posit16>) (/.p16 (real->posit16 1.0) a))
0.0ms	(sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 a #<cpointer:posit16>) c)))
0.0ms	(-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 a #<cpointer:posit16>) c))) b)
0.0ms	(quire16-mul-sub (posit16->quire16 (.p16 b b)) (.p16 a #<cpointer:posit16>) c)

simplify3.6m

Counts

57 → 57

Iterations

Iter	Nodes
done	5001
3	738
2	214
1	87
0	41

prune649.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 1.3b

localize135.0ms

Local error

Found 4 expressions with local error:

0.2b	(-.p16 (.p16 b b) (.p16 (*.p16 a #<cpointer:posit16>) c))
0.3b	(/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 a #<cpointer:posit16>) c))) b) a)
0.5b	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 a #<cpointer:posit16>) c)))
1.1b	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 a #<cpointer:posit16>) c))) b)

rewrite25.0ms

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:

9.0ms	(-.p16 (.p16 b b) (.p16 (*.p16 a #<cpointer:posit16>) c))
8.0ms	(/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 a #<cpointer:posit16>) c))) b) a)
1.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 a #<cpointer:posit16>) c)))
5.0ms	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 a #<cpointer:posit16>) c))) b)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(-.p16 (.p16 b b) (.p16 (*.p16 a #<cpointer:posit16>) c))
0.0ms	(/.p16 (-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 a #<cpointer:posit16>) c))) b) a)
0.0ms	(sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 a #<cpointer:posit16>) c)))
0.0ms	(-.p16 (sqrt.p16 (-.p16 (.p16 b b) (.p16 (*.p16 a #<cpointer:posit16>) c))) b)

simplify1.6s

Counts

57 → 57

Iterations

Iter	Nodes
done	5001
3	926
2	200
1	80
0	43

prune517.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 1.3b

regimes521.0ms

Accuracy

0% (0.5b remaining)

Error of 1.6b against oracle of 1.1b and baseline of 1.6b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	17
0	17

end0.0ms

sample2.1s

Algorithm: halfpoints