Details

Time bar (total: 5.5s)

sample118.0ms

Algorithm
halfpoints
Results

simplify14.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
14.0ms
(-.p16 (*.p16 x.re y.re) (*.p16 x.im y.im))

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize66.0ms

Local error

Found 1 expressions with local error:

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

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
1×sub-neg p16-flip--
Counts
1 → 2
Calls
1 calls:
Slowest
2.0ms
(-.p16 (*.p16 x.re y.re) (*.p16 x.im y.im))

series0.0ms

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

simplify17.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
17.0ms
(-.p16 (*.p16 x.re y.re) (*.p16 x.im y.im))

prune64.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.3b

localize193.0ms

Local error

Found 4 expressions with local error:

1.3b
(/.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)))
0.3b
(+.p16 (*.p16 x.re y.re) (*.p16 x.im y.im))
0.2b
(*.p16 (*.p16 x.im y.im) (*.p16 x.im y.im))
0.2b
(*.p16 (*.p16 x.re y.re) (*.p16 x.re y.re))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
2×associate-*r* associate-*l* *-commutative
1×+-commutative p16-flip-- associate-/l* difference-of-squares associate-/l/
Counts
4 → 9
Calls
4 calls:
Slowest
20.0ms
(*.p16 (*.p16 x.re y.re) (*.p16 x.re y.re))
11.0ms
(/.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)))
10.0ms
(*.p16 (*.p16 x.im y.im) (*.p16 x.im y.im))
6.0ms
(+.p16 (*.p16 x.re y.re) (*.p16 x.im y.im))

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
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)))
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 x.re y.re) (*.p16 x.re y.re))

simplify137.0ms

Counts
2 → 13
Calls
2 calls:
Slowest
129.0ms
(-.p16 (*.p16 (*.p16 (*.p16 x.re y.re) (*.p16 x.re y.re)) (*.p16 (*.p16 x.re y.re) (*.p16 x.re y.re))) (*.p16 (*.p16 (*.p16 x.im y.im) (*.p16 x.im y.im)) (*.p16 (*.p16 x.im y.im) (*.p16 x.im y.im))))
7.0ms
(+.p16 (*.p16 x.re y.re) (*.p16 x.im y.im))

prune174.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize575.0ms

Local error

Found 4 expressions with local error:

1.3b
(/.p16 (-.p16 (*.p16 x.re (*.p16 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)))
0.3b
(+.p16 (*.p16 x.re y.re) (*.p16 x.im y.im))
0.2b
(*.p16 x.re (*.p16 y.re (*.p16 x.re y.re)))
0.2b
(*.p16 (*.p16 x.im y.im) (*.p16 x.im y.im))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
2×associate-*r* *-commutative
1×+-commutative associate-*l* p16-flip-- associate-/l/
Counts
4 → 7
Calls
4 calls:
Slowest
14.0ms
(*.p16 x.re (*.p16 y.re (*.p16 x.re y.re)))
11.0ms
(*.p16 (*.p16 x.im y.im) (*.p16 x.im y.im))
6.0ms
(+.p16 (*.p16 x.re y.re) (*.p16 x.im y.im))
3.0ms
(/.p16 (-.p16 (*.p16 x.re (*.p16 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:
Slowest
0.0ms
(/.p16 (-.p16 (*.p16 x.re (*.p16 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)))
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 x.re (*.p16 y.re (*.p16 x.re y.re)))

simplify186.0ms

Counts
2 → 11
Calls
2 calls:
Slowest
184.0ms
(-.p16 (*.p16 (*.p16 x.re (*.p16 y.re (*.p16 x.re y.re))) (*.p16 x.re (*.p16 y.re (*.p16 x.re y.re)))) (*.p16 (*.p16 (*.p16 x.im y.im) (*.p16 x.im y.im)) (*.p16 (*.p16 x.im y.im) (*.p16 x.im y.im))))
1.0ms
(*.p16 x.re y.re)

prune296.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize249.0ms

Local error

Found 4 expressions with local error:

1.3b
(/.p16 (-.p16 (*.p16 (*.p16 (*.p16 x.re y.re) 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)))
0.3b
(+.p16 (*.p16 x.re y.re) (*.p16 x.im y.im))
0.2b
(*.p16 (*.p16 (*.p16 x.re y.re) x.re) y.re)
0.2b
(*.p16 (*.p16 x.im y.im) (*.p16 x.im y.im))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
2×associate-*l* *-commutative
1×+-commutative associate-*r* p16-flip-- associate-/l/
Counts
4 → 7
Calls
4 calls:
Slowest
13.0ms
(+.p16 (*.p16 x.re y.re) (*.p16 x.im y.im))
6.0ms
(*.p16 (*.p16 x.im y.im) (*.p16 x.im y.im))
6.0ms
(*.p16 (*.p16 (*.p16 x.re y.re) x.re) y.re)
3.0ms
(/.p16 (-.p16 (*.p16 (*.p16 (*.p16 x.re y.re) 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:
Slowest
0.0ms
(/.p16 (-.p16 (*.p16 (*.p16 (*.p16 x.re y.re) 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)))
0.0ms
(+.p16 (*.p16 x.re y.re) (*.p16 x.im y.im))
0.0ms
(*.p16 (*.p16 (*.p16 x.re y.re) x.re) y.re)
0.0ms
(*.p16 (*.p16 x.im y.im) (*.p16 x.im y.im))

simplify118.0ms

Counts
2 → 11
Calls
2 calls:
Slowest
115.0ms
(-.p16 (*.p16 (*.p16 (*.p16 (*.p16 x.re y.re) x.re) y.re) (*.p16 (*.p16 (*.p16 x.re y.re) x.re) y.re)) (*.p16 (*.p16 (*.p16 x.im y.im) (*.p16 x.im y.im)) (*.p16 (*.p16 x.im y.im) (*.p16 x.im y.im))))
2.0ms
(*.p16 x.re y.re)

prune143.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

regimes467.0ms

Accuracy

-∞% (-63.7b remaining)

Error of 0.3b against oracle of 64.0b and baseline of 64.0b

bsearch1.0ms

end0.0ms

sample2.6s

Algorithm
halfpoints
Results