Details

Time bar (total: 12.2s)

sample99.0ms

Algorithm
halfpoints

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
111
07

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize151.0ms

Local error

Found 1 expressions with local error:

0.4b
(-.p16 (*.p16 x.re y.re) (*.p16 x.im y.im))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
3×+p16-lft-identity-expand introduce-quire -p16-rgt-identity-expand +p16-rgt-identity-expand
2×associate--l+ associate--r+
1×associate--l- insert-quire-sub sub-neg *p16-lft-identity-expand p16-flip-- /p16-rgt-identity-expand *p16-rgt-identity-expand insert-quire-fdp-sub associate--r- p16-*-un-lft-identity
Counts
1 → 18
Calls
1 calls:
6.0ms
(-.p16 (*.p16 x.re y.re) (*.p16 x.im y.im))

series0.0ms

Counts
1 → 1
Calls
1 calls:
0.0ms
(-.p16 (*.p16 x.re y.re) (*.p16 x.im y.im))

simplify1.7s

Counts
19 → 19
Iterations
IterNodes
done2050
42050
3873
2173
144
023

prune199.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize160.0ms

Local error

Found 1 expressions with local error:

7.9b
(quire16-mul-sub (posit16->quire16 (*.p16 x.re y.re)) x.im y.im)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
Counts
1 → 0
Calls
1 calls:
0.0ms
(quire16-mul-sub (posit16->quire16 (*.p16 x.re y.re)) x.im y.im)

series0.0ms

Counts
1 → 1
Calls
1 calls:
0.0ms
(quire16-mul-sub (posit16->quire16 (*.p16 x.re y.re)) x.im y.im)

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done8
18
07

prune11.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize289.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.p16 (*.p16 x.re y.re) (*.p16 x.re y.re))
0.3b
(-.p16 (*.p16 (*.p16 x.re y.re) (*.p16 x.re y.re)) (*.p16 (*.p16 x.im y.im) (*.p16 x.im y.im)))
0.3b
(+.p16 (*.p16 x.re y.re) (*.p16 x.im y.im))
1.2b
(/.p16 (-.p16 (*.p16 (*.p16 x.re y.re) (*.p16 x.re y.re)) (*.p16 (*.p16 x.im y.im) (*.p16 x.im y.im))) (+.p16 (*.p16 x.re y.re) (*.p16 x.im y.im)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
14×+p16-lft-identity-expand +p16-rgt-identity-expand
13×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
12×p16-times-frac
8×introduce-quire -p16-rgt-identity-expand /p16-rgt-identity-expand
6×distribute-rgt-in distribute-lft-in associate--l+ associate--r+
5×difference-of-squares
4×associate-/l*
3×associate-/r*
2×associate-+l+ associate-+r+ p16-flip-- associate-/l/
1×associate--l- +-commutative insert-quire-sub associate-+r- sub-neg insert-quire-add associate-*r* associate-*l* associate-*l/ associate-*r/ associate-/r/ *-commutative insert-quire-fdp-add associate-+l- insert-quire-fdp-sub associate--r-
Counts
4 → 91
Calls
4 calls:
11.0ms
(*.p16 (*.p16 x.re y.re) (*.p16 x.re y.re))
16.0ms
(-.p16 (*.p16 (*.p16 x.re y.re) (*.p16 x.re y.re)) (*.p16 (*.p16 x.im y.im) (*.p16 x.im y.im)))
7.0ms
(+.p16 (*.p16 x.re y.re) (*.p16 x.im y.im))
14.0ms
(/.p16 (-.p16 (*.p16 (*.p16 x.re y.re) (*.p16 x.re y.re)) (*.p16 (*.p16 x.im y.im) (*.p16 x.im y.im))) (+.p16 (*.p16 x.re y.re) (*.p16 x.im y.im)))

series0.0ms

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

simplify1.6s

Counts
95 → 95
Iterations
IterNodes
done2013
32013
2607
1118
057

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize183.0ms

Local error

Found 4 expressions with local error:

0.3b
(+.p16 (*.p16 x.im y.im) (*.p16 y.re x.re))
0.3b
(*.p16 (+.p16 (*.p16 x.im y.im) (*.p16 y.re x.re)) (/.p16 (-.p16 (*.p16 y.re x.re) (*.p16 x.im y.im)) (+.p16 (*.p16 x.im y.im) (*.p16 y.re x.re))))
0.4b
(-.p16 (*.p16 y.re x.re) (*.p16 x.im y.im))
0.9b
(/.p16 (-.p16 (*.p16 y.re x.re) (*.p16 x.im y.im)) (+.p16 (*.p16 x.im y.im) (*.p16 y.re x.re)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
20×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
18×p16-times-frac
13×associate-*r*
10×+p16-lft-identity-expand +p16-rgt-identity-expand
8×introduce-quire -p16-rgt-identity-expand /p16-rgt-identity-expand
3×associate-/r* associate-*l* associate-/l*
2×distribute-rgt-in associate-+l+ associate-+r+ distribute-lft-in associate--l+ p16-flip-- associate-/r/ associate--r+ associate-/l/
1×associate--l- +-commutative insert-quire-sub associate-+r- sub-neg insert-quire-add associate-*l/ associate-*r/ *-commutative insert-quire-fdp-add associate-+l- insert-quire-fdp-sub associate--r-
Counts
4 → 92
Calls
4 calls:
4.0ms
(+.p16 (*.p16 x.im y.im) (*.p16 y.re x.re))
3.0ms
(*.p16 (+.p16 (*.p16 x.im y.im) (*.p16 y.re x.re)) (/.p16 (-.p16 (*.p16 y.re x.re) (*.p16 x.im y.im)) (+.p16 (*.p16 x.im y.im) (*.p16 y.re x.re))))
2.0ms
(-.p16 (*.p16 y.re x.re) (*.p16 x.im y.im))
2.0ms
(/.p16 (-.p16 (*.p16 y.re x.re) (*.p16 x.im y.im)) (+.p16 (*.p16 x.im y.im) (*.p16 y.re x.re)))

series0.0ms

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

simplify1.3s

Counts
96 → 96
Iterations
IterNodes
done2148
32148
2829
1114
050

prune1.2s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

regimes999.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
08

end0.0ms

sample2.9s

Algorithm
halfpoints