Details

sample70.0ms

Algorithm

halfpoints

Results

simplify825.0ms

Counts: 1 → 1

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize74.0ms

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))

simplify472.0ms

Counts: 3 → 3

prune84.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize264.0ms

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 (.p16 x.re y.re) (.p16 x.re y.re)) (.p16 (.p16 x.im y.im) (.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))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

2×	`p16-flip--` `difference-of-squares`
1×	`+-commutative` `sub-neg` `associate-r` `associate-l` `-commutative` `associate-/l` `associate-/l/`

Counts

4 → 9

Calls

4 calls:

Slowest

14.0ms	(-.p16 (.p16 (.p16 x.re y.re) (.p16 x.re y.re)) (.p16 (.p16 x.im y.im) (.p16 x.im y.im)))
14.0ms	(/.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)))
11.0ms	(.p16 (.p16 x.im y.im) (*.p16 x.im y.im))
7.0ms	(+.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 (.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.im y.im) (*.p16 x.im y.im))
0.0ms	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))

simplify2.7s

Counts: 13 → 13

prune343.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize122.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

2×	`+-commutative` `p16-flip--`
1×	`sub-neg` `associate-r/` `associate-/l` `associate-/l/`

Counts

4 → 6

Calls

4 calls:

Slowest

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

simplify685.0ms

Counts: 10 → 10

prune208.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize191.0ms

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

2×	`p16-flip--`
1×	`+-commutative` `sub-neg` `associate-l` `*-commutative` `associate-/l/`

Counts

4 → 6

Calls

4 calls:

Slowest

10.0ms	(.p16 (.p16 (*.p16 x.im y.im) x.im) y.im)
7.0ms	(-.p16 (.p16 (.p16 x.re y.re) (.p16 x.re y.re)) (.p16 (.p16 (.p16 x.im y.im) x.im) y.im))
7.0ms	(/.p16 (-.p16 (.p16 (.p16 x.re y.re) (.p16 x.re y.re)) (.p16 (.p16 (.p16 x.im y.im) x.im) y.im)) (+.p16 (.p16 x.re y.re) (.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 (.p16 x.im y.im) x.im) y.im)) (+.p16 (.p16 x.re y.re) (.p16 x.im y.im)))
0.0ms	(-.p16 (.p16 (.p16 x.re y.re) (.p16 x.re y.re)) (.p16 (.p16 (.p16 x.im y.im) x.im) y.im))
0.0ms	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))
0.0ms	(.p16 (.p16 (*.p16 x.im y.im) x.im) y.im)

simplify1.9s

Counts: 10 → 10

prune112.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.1b

regimes489.0ms

Accuracy

-∞% (-63.7b remaining)

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

bsearch1.0ms

end0.0ms

sample2.8s

Algorithm

halfpoints

Results