Details

Time bar (total: 15.8s)

sample119.0ms

Algorithm
halfpoints

simplify1.4s

Counts
1 → 1
Iterations
IterNodes
done2018
72018
61485
5622
4223
3106
251
121
011

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize119.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.p16 x.im (+.p16 x.im x.im))
0.1b
(*.p16 x.im (+.p16 x.im (+.p16 x.im x.im)))
0.2b
(*.p16 x.re (-.p16 (*.p16 x.re x.re) (*.p16 x.im (+.p16 x.im (+.p16 x.im x.im)))))
0.3b
(-.p16 (*.p16 x.re x.re) (*.p16 x.im (+.p16 x.im (+.p16 x.im x.im))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
10×+p16-lft-identity-expand +p16-rgt-identity-expand
9×-p16-rgt-identity-expand
8×distribute-rgt-in distribute-lft-in
6×*p16-lft-identity-expand introduce-quire associate-*r* associate--l+ /p16-rgt-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
4×associate--r+
3×sub-neg associate-*r/ associate--r-
2×p16-flip-- *-commutative
1×associate--l- +-commutative insert-quire-sub associate-+r+ associate-+r- insert-quire-fdp-sub
Counts
4 → 72
Calls
4 calls:
4.0ms
(+.p16 x.im (+.p16 x.im x.im))
11.0ms
(*.p16 x.im (+.p16 x.im (+.p16 x.im x.im)))
5.0ms
(*.p16 x.re (-.p16 (*.p16 x.re x.re) (*.p16 x.im (+.p16 x.im (+.p16 x.im x.im)))))
4.0ms
(-.p16 (*.p16 x.re x.re) (*.p16 x.im (+.p16 x.im (+.p16 x.im x.im))))

series0.0ms

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

simplify1.1s

Counts
76 → 76
Iterations
IterNodes
done2057
42057
31766
2286
184
043

prune682.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize156.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.p16 (+.p16 x.im x.im) x.im)
0.1b
(*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))
0.2b
(*.p16 x.re (-.p16 (*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 (+.p16 x.im x.im) x.im)))
0.3b
(-.p16 (*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 (+.p16 x.im x.im) x.im))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
24×distribute-rgt-in distribute-lft-in associate--l+
18×+p16-lft-identity-expand +p16-rgt-identity-expand
11×sub-neg
8×*p16-lft-identity-expand -p16-rgt-identity-expand /p16-rgt-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
6×introduce-quire associate-*r* associate-*l*
4×associate-*r/
3×p16-flip-- *-commutative associate--r-
2×associate-*l/ associate--r+
1×associate--l- insert-quire-sub insert-quire-fdp-sub
Counts
4 → 99
Calls
4 calls:
7.0ms
(*.p16 (+.p16 x.im x.im) x.im)
8.0ms
(*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))
5.0ms
(*.p16 x.re (-.p16 (*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 (+.p16 x.im x.im) x.im)))
4.0ms
(-.p16 (*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 (+.p16 x.im x.im) x.im))

series0.0ms

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

simplify1.0s

Counts
103 → 103
Iterations
IterNodes
done2006
32006
2717
1183
078

prune1.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize253.0ms

Local error

Found 3 expressions with local error:

0.1b
(*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))
0.2b
(*.p16 x.re (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (+.p16 x.im x.im) x.im)))
6.6b
(quire16-mul-sub (posit16->quire16 (*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (+.p16 x.im x.im) x.im)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
6×+p16-lft-identity-expand associate-*r* +p16-rgt-identity-expand
5×distribute-rgt-in *p16-lft-identity-expand distribute-lft-in /p16-rgt-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
3×associate-*l* associate-*r/
2×sub-neg introduce-quire -p16-rgt-identity-expand *-commutative
1×associate-*l/ p16-flip--
Counts
3 → 41
Calls
3 calls:
9.0ms
(*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))
5.0ms
(*.p16 x.re (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (+.p16 x.im x.im) x.im)))
0.0ms
(quire16-mul-sub (posit16->quire16 (*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (+.p16 x.im x.im) x.im)

series0.0ms

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

simplify2.2s

Counts
44 → 44
Iterations
IterNodes
done2084
42084
31205
2235
176
033

prune496.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize248.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.p16 x.re (+.p16 x.im x.re))
0.2b
(*.p16 x.re (quire16->posit16 (quire16-mul-sub (posit16->quire16 (+.p16 (*.p16 x.re (+.p16 x.im x.re)) (*.p16 (neg.p16 x.im) (+.p16 x.im x.re)))) (+.p16 x.im x.im) x.im)))
0.4b
(+.p16 (*.p16 x.re (+.p16 x.im x.re)) (*.p16 (neg.p16 x.im) (+.p16 x.im x.re)))
6.6b
(quire16-mul-sub (posit16->quire16 (+.p16 (*.p16 x.re (+.p16 x.im x.re)) (*.p16 (neg.p16 x.im) (+.p16 x.im x.re)))) (+.p16 x.im x.im) x.im)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
7×+p16-lft-identity-expand +p16-rgt-identity-expand
6×associate-*r*
5×distribute-rgt-in *p16-lft-identity-expand distribute-lft-in introduce-quire -p16-rgt-identity-expand /p16-rgt-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
4×associate-+l+ associate-+r+
2×associate-*r/ *-commutative
1×+-commutative associate-+r- insert-quire-add distribute-rgt-out insert-quire-fdp-add associate-+l-
Counts
4 → 54
Calls
4 calls:
6.0ms
(*.p16 x.re (+.p16 x.im x.re))
4.0ms
(*.p16 x.re (quire16->posit16 (quire16-mul-sub (posit16->quire16 (+.p16 (*.p16 x.re (+.p16 x.im x.re)) (*.p16 (neg.p16 x.im) (+.p16 x.im x.re)))) (+.p16 x.im x.im) x.im)))
6.0ms
(+.p16 (*.p16 x.re (+.p16 x.im x.re)) (*.p16 (neg.p16 x.im) (+.p16 x.im x.re)))
1.0ms
(quire16-mul-sub (posit16->quire16 (+.p16 (*.p16 x.re (+.p16 x.im x.re)) (*.p16 (neg.p16 x.im) (+.p16 x.im x.re)))) (+.p16 x.im x.im) x.im)

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(*.p16 x.re (+.p16 x.im x.re))
0.0ms
(*.p16 x.re (quire16->posit16 (quire16-mul-sub (posit16->quire16 (+.p16 (*.p16 x.re (+.p16 x.im x.re)) (*.p16 (neg.p16 x.im) (+.p16 x.im x.re)))) (+.p16 x.im x.im) x.im)))
0.0ms
(+.p16 (*.p16 x.re (+.p16 x.im x.re)) (*.p16 (neg.p16 x.im) (+.p16 x.im x.re)))
0.0ms
(quire16-mul-sub (posit16->quire16 (+.p16 (*.p16 x.re (+.p16 x.im x.re)) (*.p16 (neg.p16 x.im) (+.p16 x.im x.re)))) (+.p16 x.im x.im) x.im)

simplify2.7s

Counts
58 → 58
Iterations
IterNodes
done2103
52103
41861
3563
2159
164
036

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes257.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
010

end0.0ms

sample2.6s

Algorithm
halfpoints