Details

Time bar (total: 27.7s)

sample89.0ms

Algorithm
halfpoints

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
111
07

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize89.0ms

Local error

Found 1 expressions with local error:

0.3b
(-.p16 (*.p16 x.re y.re) (*.p16 x.im y.im))

rewrite3.0ms

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:
3.0ms
(-.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))

simplify1.3s

Counts
19 → 19
Iterations
IterNodes
done5037
3873
2173
144
023

prune151.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize109.0ms

Local error

Found 1 expressions with local error:

5.0b
(quire16-mul-sub (posit16->quire16 (*.p16 x.re y.re)) x.im y.im)

rewrite0.0ms

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)

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done8
18
07

prune6.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize223.0ms

Local error

Found 4 expressions with local error:

0.2b
(-.p16 (*.p16 (*.p16 x.re y.re) (*.p16 x.re y.re)) (*.p16 (*.p16 x.im y.im) (*.p16 x.im y.im)))
0.2b
(+.p16 (*.p16 x.re y.re) (*.p16 x.im y.im))
0.2b
(*.p16 (*.p16 x.im y.im) (*.p16 x.im y.im))
1.4b
(/.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)))

rewrite26.0ms

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:
8.0ms
(-.p16 (*.p16 (*.p16 x.re y.re) (*.p16 x.re y.re)) (*.p16 (*.p16 x.im y.im) (*.p16 x.im y.im)))
3.0ms
(+.p16 (*.p16 x.re y.re) (*.p16 x.im y.im))
6.0ms
(*.p16 (*.p16 x.im y.im) (*.p16 x.im y.im))
7.0ms
(/.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 (*.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 x.im y.im) (*.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)))

simplify17.1s

Counts
95 → 95
Iterations
IterNodes
done5001
34327
2731
1121
058

prune805.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize130.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

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 x.re y.re) (*.p16 x.im y.im))
6.0ms
(/.p16 (+.p16 (*.p16 x.re y.re) (*.p16 x.im y.im)) (/.p16 (+.p16 (*.p16 x.re y.re) (*.p16 x.im y.im)) (-.p16 (*.p16 x.re y.re) (*.p16 x.im y.im))))
3.0ms
(-.p16 (*.p16 x.re y.re) (*.p16 x.im y.im))
2.0ms
(/.p16 (+.p16 (*.p16 x.re y.re) (*.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.im y.im))
0.0ms
(/.p16 (+.p16 (*.p16 x.re y.re) (*.p16 x.im y.im)) (/.p16 (+.p16 (*.p16 x.re y.re) (*.p16 x.im y.im)) (-.p16 (*.p16 x.re y.re) (*.p16 x.im y.im))))
0.0ms
(-.p16 (*.p16 x.re y.re) (*.p16 x.im y.im))
0.0ms
(/.p16 (+.p16 (*.p16 x.re y.re) (*.p16 x.im y.im)) (-.p16 (*.p16 x.re y.re) (*.p16 x.im y.im)))

simplify3.1s

Counts
134 → 134
Iterations
IterNodes
done5008
31716
2337
195
052

prune946.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

regimes648.0ms

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

sample3.0s

Algorithm
halfpoints