Details

Time bar (total: 27.3s)

sample106.0ms

Algorithm
halfpoints

simplify4.8s

Counts
1 → 1
Iterations
IterNodes
done5002
74047
61485
5622
4223
3106
251
121
011

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize250.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
8×+p16-lft-identity-expand introduce-quire -p16-rgt-identity-expand +p16-rgt-identity-expand
7×associate-*l*
6×*p16-lft-identity-expand /p16-rgt-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
4×associate--l+ associate--r+
3×associate-*l/ p16-flip--
2×associate--l- insert-quire-sub sub-neg *-commutative insert-quire-fdp-sub associate--r- difference-of-squares
Counts
4 → 65
Calls
4 calls:
3.0ms
(*.p16 (+.p16 (*.p16 x.re x.im) (*.p16 x.im x.re)) x.im)
3.0ms
(*.p16 (-.p16 (*.p16 x.re x.re) (*.p16 x.im x.im)) x.re)
3.0ms
(-.p16 (*.p16 (-.p16 (*.p16 x.re x.re) (*.p16 x.im x.im)) x.re) (*.p16 (+.p16 (*.p16 x.re x.im) (*.p16 x.im x.re)) x.im))
5.0ms
(-.p16 (*.p16 x.re x.re) (*.p16 x.im x.im))

series0.0ms

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

simplify1.9s

Counts
69 → 69
Iterations
IterNodes
done5015
32062
2374
197
046

prune777.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize295.0ms

Local error

Found 4 expressions with local error:

0.1b
(*.p16 x.im (+.p16 x.re x.re))
0.1b
(*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re))
0.3b
(*.p16 x.re (*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)))
9.1b
(quire16-mul-sub (posit16->quire16 (*.p16 x.re (*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)))) (*.p16 x.im (+.p16 x.re x.re)) x.im)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
9×/p16-rgt-identity-expand
8×distribute-rgt-in distribute-lft-in
7×associate-*r* associate-*r/
6×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
5×+p16-lft-identity-expand +p16-rgt-identity-expand
4×associate-*l/
3×introduce-quire associate-*l* -p16-rgt-identity-expand *-commutative
2×p16-flip--
Counts
4 → 57
Calls
4 calls:
6.0ms
(*.p16 x.im (+.p16 x.re x.re))
7.0ms
(*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re))
8.0ms
(*.p16 x.re (*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)))
1.0ms
(quire16-mul-sub (posit16->quire16 (*.p16 x.re (*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)))) (*.p16 x.im (+.p16 x.re x.re)) x.im)

series0.0ms

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

simplify1.6s

Counts
61 → 61
Iterations
IterNodes
done5118
32402
2316
183
042

prune873.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize281.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
12×+p16-lft-identity-expand +p16-rgt-identity-expand
8×introduce-quire -p16-rgt-identity-expand /p16-rgt-identity-expand
6×*p16-lft-identity-expand associate-*l* associate--l+ *p16-rgt-identity-expand p16-*-un-lft-identity
4×distribute-rgt-in distribute-lft-in associate-*l/
3×associate-*r/
2×associate-+l+ associate-+r+ p16-flip-- *-commutative associate--r+
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
4 → 73
Calls
4 calls:
7.0ms
(+.p16 (*.p16 x.re x.im) (*.p16 x.im x.re))
3.0ms
(*.p16 (+.p16 (*.p16 x.re x.im) (*.p16 x.im x.re)) x.im)
6.0ms
(*.p16 (+.p16 x.re x.im) (*.p16 (-.p16 x.re x.im) x.re))
3.0ms
(-.p16 (*.p16 (+.p16 x.re x.im) (*.p16 (-.p16 x.re x.im) x.re)) (*.p16 (+.p16 (*.p16 x.re x.im) (*.p16 x.im x.re)) x.im))

series0.0ms

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

simplify5.2s

Counts
77 → 77
Iterations
IterNodes
done5057
32929
2457
1110
049

prune792.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize224.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.p16 x.re (*.p16 x.re (-.p16 x.re x.im)))
0.2b
(*.p16 x.im (*.p16 x.re (-.p16 x.re x.im)))
0.4b
(+.p16 (*.p16 x.im (*.p16 x.re (-.p16 x.re x.im))) (*.p16 x.re (*.p16 x.re (-.p16 x.re x.im))))
9.1b
(quire16-mul-sub (posit16->quire16 (+.p16 (*.p16 x.im (*.p16 x.re (-.p16 x.re x.im))) (*.p16 x.re (*.p16 x.re (-.p16 x.re x.im))))) (*.p16 x.im (+.p16 x.re x.re)) x.im)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
56×distribute-rgt-in distribute-lft-in
29×+p16-lft-identity-expand +p16-rgt-identity-expand
18×associate-+l+ associate-+r+
16×sub-neg
10×associate-*r/
7×/p16-rgt-identity-expand
5×introduce-quire -p16-rgt-identity-expand
3×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
2×associate-*r* p16-flip-- *-commutative
1×+-commutative associate-+r- insert-quire-add distribute-rgt-out insert-quire-fdp-add associate-+l-
Counts
4 → 108
Calls
4 calls:
6.0ms
(*.p16 x.re (*.p16 x.re (-.p16 x.re x.im)))
6.0ms
(*.p16 x.im (*.p16 x.re (-.p16 x.re x.im)))
10.0ms
(+.p16 (*.p16 x.im (*.p16 x.re (-.p16 x.re x.im))) (*.p16 x.re (*.p16 x.re (-.p16 x.re x.im))))
0.0ms
(quire16-mul-sub (posit16->quire16 (+.p16 (*.p16 x.im (*.p16 x.re (-.p16 x.re x.im))) (*.p16 x.re (*.p16 x.re (-.p16 x.re x.im))))) (*.p16 x.im (+.p16 x.re x.re)) x.im)

series0.0ms

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

simplify4.5s

Counts
112 → 112
Iterations
IterNodes
done6964
31272
2308
1181
089

prune2.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes357.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done11
011

end0.0ms

sample3.0s

Algorithm
halfpoints