Details

sample82.0ms

Algorithm

halfpoints

Results

simplify576.0ms

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize57.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

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))

simplify484.0ms

Counts: 4 → 3

prune59.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize177.0ms

Local error

Found 4 expressions with local error:

1.4b	(/.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 (.p16 x.re y.re) (.p16 x.re y.re)) (.p16 (.p16 x.im y.im) (.p16 x.im y.im)))
0.2b	(.p16 (.p16 x.im y.im) (*.p16 x.im y.im))

rewrite42.0ms

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

17.0ms	(/.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 (.p16 x.re y.re) (.p16 x.re y.re)) (.p16 (.p16 x.im y.im) (.p16 x.im y.im)))
8.0ms	(.p16 (.p16 x.im y.im) (*.p16 x.im y.im))
5.0ms	(+.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.re y.re) (.p16 x.im y.im))
0.0ms	(.p16 (.p16 x.im y.im) (*.p16 x.im y.im))

simplify223.0ms

Counts: 17 → 13

prune261.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize160.0ms

Local error

Found 4 expressions with local error:

1.0b	(/.p16 (+.p16 (.p16 x.re y.re) (.p16 x.im y.im)) (-.p16 (.p16 x.re y.re) (.p16 x.im y.im)))
0.4b	(/.p16 (+.p16 (.p16 x.re y.re) (.p16 x.im y.im)) (/.p16 (+.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))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

3×	`p16-flip--` `associate-/r/`
1×	`+-commutative` `associate-/r*` `sub-neg`

Counts

4 → 6

Calls

4 calls:

Slowest

12.0ms	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))
3.0ms	(-.p16 (.p16 x.re y.re) (.p16 x.im y.im))
3.0ms	(/.p16 (+.p16 (.p16 x.re y.re) (.p16 x.im y.im)) (/.p16 (+.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 (.p16 x.re y.re) (.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 y.re) (.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.im y.im)) (/.p16 (+.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))

simplify1.7s

Counts: 10 → 10

prune246.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize222.0ms

Local error

Found 4 expressions with local error:

1.2b	(.p16 (/.p16 (real->posit16 1.0) (-.p16 (.p16 x.re y.re) (.p16 y.im x.im))) (+.p16 (.p16 x.re y.re) (*.p16 x.im y.im)))
0.4b	(/.p16 (+.p16 (.p16 x.re y.re) (.p16 x.im y.im)) (.p16 (/.p16 (real->posit16 1.0) (-.p16 (.p16 x.re y.re) (.p16 y.im x.im))) (+.p16 (.p16 x.re y.re) (*.p16 x.im y.im))))
0.3b	(/.p16 (real->posit16 1.0) (-.p16 (.p16 x.re y.re) (.p16 y.im x.im)))
0.3b	(-.p16 (.p16 x.re y.re) (.p16 y.im x.im))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

3×	`p16-flip--` `associate-/r/`
2×	`associate-*l/`
1×	`distribute-rgt-in` `associate-/r` `sub-neg` `distribute-lft-in` `associate-l` `-commutative`

Counts

4 → 10

Calls

4 calls:

Slowest

10.0ms	(/.p16 (+.p16 (.p16 x.re y.re) (.p16 x.im y.im)) (.p16 (/.p16 (real->posit16 1.0) (-.p16 (.p16 x.re y.re) (.p16 y.im x.im))) (+.p16 (.p16 x.re y.re) (*.p16 x.im y.im))))
2.0ms	(.p16 (/.p16 (real->posit16 1.0) (-.p16 (.p16 x.re y.re) (.p16 y.im x.im))) (+.p16 (.p16 x.re y.re) (*.p16 x.im y.im)))
2.0ms	(-.p16 (.p16 x.re y.re) (.p16 y.im x.im))
1.0ms	(/.p16 (real->posit16 1.0) (-.p16 (.p16 x.re y.re) (.p16 y.im x.im)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(.p16 (/.p16 (real->posit16 1.0) (-.p16 (.p16 x.re y.re) (.p16 y.im x.im))) (+.p16 (.p16 x.re y.re) (*.p16 x.im y.im)))
0.0ms	(/.p16 (+.p16 (.p16 x.re y.re) (.p16 x.im y.im)) (.p16 (/.p16 (real->posit16 1.0) (-.p16 (.p16 x.re y.re) (.p16 y.im x.im))) (+.p16 (.p16 x.re y.re) (*.p16 x.im y.im))))
0.0ms	(/.p16 (real->posit16 1.0) (-.p16 (.p16 x.re y.re) (.p16 y.im x.im)))
0.0ms	(-.p16 (.p16 x.re y.re) (.p16 y.im x.im))

simplify847.0ms

Counts: 16 → 14

prune316.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

regimes597.0ms

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