Details

Time bar (total: 20.6s)

sample94.0ms

Algorithm
halfpoints

simplify4.2s

Counts
1 → 1
Iterations
IterNodes
done5001
84615
73127
61308
5586
4220
3107
249
120
011

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize191.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.p16 (-.p16 (*.p16 x.re x.re) (*.p16 x.im x.im)) x.im)
0.2b
(*.p16 (+.p16 (*.p16 x.re x.im) (*.p16 x.im x.re)) x.re)
0.3b
(+.p16 (*.p16 (-.p16 (*.p16 x.re x.re) (*.p16 x.im x.im)) x.im) (*.p16 (+.p16 (*.p16 x.re x.im) (*.p16 x.im x.re)) x.re))
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
3×associate-*l/
2×associate-+l+ associate-+r+ associate--l+ p16-flip-- *-commutative associate--r+ difference-of-squares
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 → 64
Calls
4 calls:
3.0ms
(*.p16 (-.p16 (*.p16 x.re x.re) (*.p16 x.im x.im)) x.im)
3.0ms
(*.p16 (+.p16 (*.p16 x.re x.im) (*.p16 x.im x.re)) x.re)
4.0ms
(+.p16 (*.p16 (-.p16 (*.p16 x.re x.re) (*.p16 x.im x.im)) x.im) (*.p16 (+.p16 (*.p16 x.re x.im) (*.p16 x.im x.re)) x.re))
4.0ms
(-.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.re) (*.p16 x.im x.im)) x.im)
0.0ms
(*.p16 (+.p16 (*.p16 x.re x.im) (*.p16 x.im x.re)) x.re)
0.0ms
(+.p16 (*.p16 (-.p16 (*.p16 x.re x.re) (*.p16 x.im x.im)) x.im) (*.p16 (+.p16 (*.p16 x.re x.im) (*.p16 x.im x.re)) x.re))
0.0ms
(-.p16 (*.p16 x.re x.re) (*.p16 x.im x.im))

simplify1.7s

Counts
68 → 68
Iterations
IterNodes
done5001
31073
2219
179
041

prune941.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize255.0ms

Local error

Found 4 expressions with local error:

0.1b
(*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re))
0.1b
(*.p16 x.re (+.p16 x.im x.im))
0.2b
(*.p16 x.im (*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)))
6.8b
(quire16-mul-add (posit16->quire16 (*.p16 x.im (*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)))) (*.p16 x.re (+.p16 x.im x.im)) x.re)

rewrite41.0ms

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:
8.0ms
(*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re))
18.0ms
(*.p16 x.re (+.p16 x.im x.im))
10.0ms
(*.p16 x.im (*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)))
1.0ms
(quire16-mul-add (posit16->quire16 (*.p16 x.im (*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)))) (*.p16 x.re (+.p16 x.im x.im)) x.re)

series0.0ms

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

simplify1.5s

Counts
61 → 61
Iterations
IterNodes
done5008
31925
2310
185
042

prune1.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize315.0ms

Local error

Found 4 expressions with local error:

0.1b
(*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re))
0.1b
(+.p16 (*.p16 x.re x.im) (*.p16 x.re x.im))
0.2b
(*.p16 x.im (*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)))
6.8b
(quire16-mul-add (posit16->quire16 (*.p16 x.im (*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)))) (+.p16 (*.p16 x.re x.im) (*.p16 x.re x.im)) x.re)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
8×/p16-rgt-identity-expand
7×distribute-rgt-in distribute-lft-in +p16-lft-identity-expand +p16-rgt-identity-expand
6×associate-*r/
5×*p16-lft-identity-expand introduce-quire -p16-rgt-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
4×associate-*r* associate-*l/
3×associate-*l*
2×associate-+l+ associate-+r+ p16-flip-- *-commutative
1×+-commutative associate-+r- insert-quire-add p16-distribute-lft-out distribute-rgt-out insert-quire-fdp-add associate-+l- distribute-lft-out
Counts
4 → 62
Calls
4 calls:
7.0ms
(*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re))
7.0ms
(+.p16 (*.p16 x.re x.im) (*.p16 x.re x.im))
9.0ms
(*.p16 x.im (*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)))
0.0ms
(quire16-mul-add (posit16->quire16 (*.p16 x.im (*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)))) (+.p16 (*.p16 x.re x.im) (*.p16 x.re x.im)) x.re)

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 x.re x.im) (*.p16 x.re x.im))
0.0ms
(*.p16 x.im (*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)))
0.0ms
(quire16-mul-add (posit16->quire16 (*.p16 x.im (*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)))) (+.p16 (*.p16 x.re x.im) (*.p16 x.re x.im)) x.re)

simplify1.8s

Counts
66 → 66
Iterations
IterNodes
done5002
31656
2300
190
045

prune1.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize275.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.p16 x.re (-.p16 x.re x.im))
0.2b
(*.p16 x.im (+.p16 (*.p16 x.im (-.p16 x.re x.im)) (*.p16 x.re (-.p16 x.re x.im))))
0.4b
(+.p16 (*.p16 x.im (-.p16 x.re x.im)) (*.p16 x.re (-.p16 x.re x.im)))
6.8b
(quire16-mul-add (posit16->quire16 (*.p16 x.im (+.p16 (*.p16 x.im (-.p16 x.re x.im)) (*.p16 x.re (-.p16 x.re x.im))))) (*.p16 x.re (+.p16 x.im x.im)) x.re)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
11×+p16-lft-identity-expand +p16-rgt-identity-expand
10×distribute-rgt-in distribute-lft-in
8×associate-+l+ associate-+r+
7×associate-*r*
6×sub-neg
5×*p16-lft-identity-expand introduce-quire -p16-rgt-identity-expand /p16-rgt-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
3×associate-*r/
2×distribute-rgt-out *-commutative
1×+-commutative associate-+r- insert-quire-add p16-flip-- insert-quire-fdp-add associate-+l-
Counts
4 → 66
Calls
4 calls:
4.0ms
(*.p16 x.re (-.p16 x.re x.im))
3.0ms
(*.p16 x.im (+.p16 (*.p16 x.im (-.p16 x.re x.im)) (*.p16 x.re (-.p16 x.re x.im))))
6.0ms
(+.p16 (*.p16 x.im (-.p16 x.re x.im)) (*.p16 x.re (-.p16 x.re x.im)))
0.0ms
(quire16-mul-add (posit16->quire16 (*.p16 x.im (+.p16 (*.p16 x.im (-.p16 x.re x.im)) (*.p16 x.re (-.p16 x.re x.im))))) (*.p16 x.re (+.p16 x.im x.im)) x.re)

series0.0ms

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

simplify1.8s

Counts
70 → 70
Iterations
IterNodes
done6137
3799
2256
193
051

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes453.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done13
013

end0.0ms

sample3.2s

Algorithm
halfpoints