Details

Time bar (total: 52.4s)

sample108.0ms

Algorithm
halfpoints

simplify13.0ms

Counts
1 → 1
Iterations
IterNodes
317
217
116
011

prune39.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize162.0ms

Local error

Found 3 expressions with local error:

0.2b
(+.p16 (*.p16 y.re y.re) (*.p16 y.im y.im))
0.3b
(-.p16 (*.p16 x.im y.re) (*.p16 x.re y.im))
0.9b
(/.p16 (-.p16 (*.p16 x.im y.re) (*.p16 x.re y.im)) (+.p16 (*.p16 y.re y.re) (*.p16 y.im y.im)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
11×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
9×p16-times-frac
7×+p16-lft-identity-expand introduce-quire -p16-rgt-identity-expand +p16-rgt-identity-expand
5×/p16-rgt-identity-expand
3×associate-/r* associate-/l*
2×associate-+l+ associate-+r+ associate--l+ p16-flip-- associate--r+ associate-/l/
1×associate--l- +-commutative insert-quire-sub associate-+r- sub-neg insert-quire-add associate-/r/ insert-quire-fdp-add associate-+l- insert-quire-fdp-sub associate--r-
Counts
3 → 61
Calls
3 calls:
8.0ms
(+.p16 (*.p16 y.re y.re) (*.p16 y.im y.im))
5.0ms
(-.p16 (*.p16 x.im y.re) (*.p16 x.re y.im))
7.0ms
(/.p16 (-.p16 (*.p16 x.im y.re) (*.p16 x.re y.im)) (+.p16 (*.p16 y.re y.re) (*.p16 y.im y.im)))

series0.0ms

Counts
3 → 3
Calls
3 calls:
0.0ms
(+.p16 (*.p16 y.re y.re) (*.p16 y.im y.im))
0.0ms
(-.p16 (*.p16 x.im y.re) (*.p16 x.re y.im))
0.0ms
(/.p16 (-.p16 (*.p16 x.im y.re) (*.p16 x.re y.im)) (+.p16 (*.p16 y.re y.re) (*.p16 y.im y.im)))

simplify488.0ms

Counts
64 → 64
Iterations
IterNodes
32194
2345
176
042

prune1.9s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.6b

localize196.0ms

Local error

Found 4 expressions with local error:

0.2b
(+.p16 (*.p16 y.re y.re) (*.p16 y.im y.im))
0.2b
(/.p16 (real->posit16 1.0) (/.p16 (+.p16 (*.p16 y.re y.re) (*.p16 y.im y.im)) (-.p16 (*.p16 x.im y.re) (*.p16 x.re y.im))))
0.3b
(-.p16 (*.p16 x.im y.re) (*.p16 x.re y.im))
0.9b
(/.p16 (+.p16 (*.p16 y.re y.re) (*.p16 y.im y.im)) (-.p16 (*.p16 x.im y.re) (*.p16 x.re y.im)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
87×p16-times-frac
55×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
17×associate-/r*
11×associate-/r/ /p16-rgt-identity-expand
8×+p16-lft-identity-expand introduce-quire -p16-rgt-identity-expand +p16-rgt-identity-expand
6×p16-flip-- associate-/l*
2×associate-+l+ associate-+r+ associate--l+ associate--r+ associate-/l/
1×associate--l- +-commutative insert-quire-sub associate-+r- sub-neg insert-quire-add insert-quire-fdp-add associate-+l- insert-quire-fdp-sub associate--r-
Counts
4 → 130
Calls
4 calls:
4.0ms
(+.p16 (*.p16 y.re y.re) (*.p16 y.im y.im))
5.0ms
(/.p16 (real->posit16 1.0) (/.p16 (+.p16 (*.p16 y.re y.re) (*.p16 y.im y.im)) (-.p16 (*.p16 x.im y.re) (*.p16 x.re y.im))))
3.0ms
(-.p16 (*.p16 x.im y.re) (*.p16 x.re y.im))
4.0ms
(/.p16 (+.p16 (*.p16 y.re y.re) (*.p16 y.im y.im)) (-.p16 (*.p16 x.im y.re) (*.p16 x.re y.im)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(+.p16 (*.p16 y.re y.re) (*.p16 y.im y.im))
0.0ms
(/.p16 (real->posit16 1.0) (/.p16 (+.p16 (*.p16 y.re y.re) (*.p16 y.im y.im)) (-.p16 (*.p16 x.im y.re) (*.p16 x.re y.im))))
0.0ms
(-.p16 (*.p16 x.im y.re) (*.p16 x.re y.im))
0.0ms
(/.p16 (+.p16 (*.p16 y.re y.re) (*.p16 y.im y.im)) (-.p16 (*.p16 x.im y.re) (*.p16 x.re y.im)))

simplify12.4s

Counts
134 → 134
Iterations
IterNodes
49785
31129
2283
192
052

prune4.6s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.5b

localize186.0ms

Local error

Found 3 expressions with local error:

0.2b
(+.p16 (*.p16 y.re y.re) (*.p16 y.im y.im))
0.9b
(/.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 x.im y.re)) x.re y.im)) (+.p16 (*.p16 y.re y.re) (*.p16 y.im y.im)))
6.8b
(quire16-mul-sub (posit16->quire16 (*.p16 x.im y.re)) x.re y.im)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
9×p16-times-frac
4×+p16-lft-identity-expand introduce-quire -p16-rgt-identity-expand /p16-rgt-identity-expand +p16-rgt-identity-expand
3×associate-/r* associate-/l*
2×associate-+l+ associate-+r+
1×+-commutative associate-+r- insert-quire-add associate-/r/ insert-quire-fdp-add associate-+l- associate-/l/
Counts
3 → 42
Calls
3 calls:
4.0ms
(+.p16 (*.p16 y.re y.re) (*.p16 y.im y.im))
3.0ms
(/.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 x.im y.re)) x.re y.im)) (+.p16 (*.p16 y.re y.re) (*.p16 y.im y.im)))
0.0ms
(quire16-mul-sub (posit16->quire16 (*.p16 x.im y.re)) x.re y.im)

series0.0ms

Counts
3 → 3
Calls
3 calls:
0.0ms
(+.p16 (*.p16 y.re y.re) (*.p16 y.im y.im))
0.0ms
(/.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 x.im y.re)) x.re y.im)) (+.p16 (*.p16 y.re y.re) (*.p16 y.im y.im)))
0.0ms
(quire16-mul-sub (posit16->quire16 (*.p16 x.im y.re)) x.re y.im)

simplify24.1s

Counts
45 → 45
Iterations
IterNodes
56410
41082
3239
286
137
030

prune1.9s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.5b

localize341.0ms

Local error

Found 3 expressions with local error:

0.9b
(/.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 x.im y.re)) x.re y.im)) (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 y.re y.re)) y.im y.im)))
3.3b
(quire16-mul-add (posit16->quire16 (*.p16 y.re y.re)) y.im y.im)
6.8b
(quire16-mul-sub (posit16->quire16 (*.p16 x.im y.re)) x.re y.im)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
9×*p16-lft-identity-expand p16-times-frac *p16-rgt-identity-expand p16-*-un-lft-identity
3×associate-/r* /p16-rgt-identity-expand associate-/l*
1×+p16-lft-identity-expand introduce-quire -p16-rgt-identity-expand associate-/r/ +p16-rgt-identity-expand associate-/l/
Counts
3 → 25
Calls
3 calls:
2.0ms
(/.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 x.im y.re)) x.re y.im)) (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 y.re y.re)) y.im y.im)))
0.0ms
(quire16-mul-add (posit16->quire16 (*.p16 y.re y.re)) y.im y.im)
0.0ms
(quire16-mul-sub (posit16->quire16 (*.p16 x.im y.re)) x.re y.im)

series0.0ms

Counts
3 → 3
Calls
3 calls:
0.0ms
(/.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 x.im y.re)) x.re y.im)) (quire16->posit16 (quire16-mul-add (posit16->quire16 (*.p16 y.re y.re)) y.im y.im)))
0.0ms
(quire16-mul-add (posit16->quire16 (*.p16 y.re y.re)) y.im y.im)
0.0ms
(quire16-mul-sub (posit16->quire16 (*.p16 x.im y.re)) x.re y.im)

simplify104.0ms

Counts
28 → 28
Iterations
IterNodes
8102
7102
6101
594
485
375
258
126
024

prune1.4s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.5b

regimes859.0ms

Accuracy

0% (0.5b remaining)

Error of 1.1b against oracle of 0.6b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
113
013

end0.0ms

sample3.5s

Algorithm
halfpoints