Details

sample67.0ms

Algorithm

halfpoints

Results

simplify1.5s

Counts: 1 → 1

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize253.0ms

Local error

Found 4 expressions with local error:

0.3b	(-.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (.p16 (+.p16 x.im x.im) x.im))
0.2b	(.p16 x.re (-.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 (+.p16 x.im x.im) x.im)))
0.1b	(*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))
0.0b	(*.p16 (+.p16 x.im x.im) x.im)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

11×	`sub-neg`
7×	`distribute-rgt-in` `distribute-lft-in`
6×	`associate--l+`
3×	`p16-flip--` `*-commutative`
2×	`associate-*r/`

Counts

4 → 17

Calls

4 calls:

Slowest

10.0ms	(.p16 x.re (-.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 (+.p16 x.im x.im) x.im)))
9.0ms	(*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))
8.0ms	(*.p16 (+.p16 x.im x.im) x.im)
7.0ms	(-.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (.p16 (+.p16 x.im x.im) x.im))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(-.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (.p16 (+.p16 x.im x.im) x.im))
0.0ms	(.p16 x.re (-.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 (+.p16 x.im x.im) x.im)))
0.0ms	(*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))
0.0ms	(*.p16 (+.p16 x.im x.im) x.im)

simplify754.0ms

Counts: 21 → 21

prune704.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize315.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 9

Calls

4 calls:

Slowest

6.0ms	(-.p16 (.p16 x.re x.re) (.p16 x.im x.im))
6.0ms	(.p16 (-.p16 (.p16 x.re x.re) (*.p16 x.im x.im)) x.re)
5.0ms	(-.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 (.p16 x.re x.im) (*.p16 x.im x.re)) x.im)

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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 (.p16 x.re x.re) (*.p16 x.im x.im)) x.re)
0.0ms	(-.p16 (.p16 x.re x.re) (.p16 x.im x.im))
0.0ms	(.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.im)

simplify10.7s

Counts: 13 → 13

prune273.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize206.0ms

Local error

Found 4 expressions with local error:

0.3b	(-.p16 (.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)) (.p16 (+.p16 x.im x.im) x.im))
0.2b	(.p16 x.re (-.p16 (.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)) (*.p16 (+.p16 x.im x.im) x.im)))
0.1b	(*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re))
0.0b	(*.p16 (+.p16 x.im x.im) x.im)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 17

Calls

4 calls:

Slowest

6.0ms	(.p16 x.re (-.p16 (.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)) (*.p16 (+.p16 x.im x.im) x.im)))
6.0ms	(*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re))
5.0ms	(-.p16 (.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)) (.p16 (+.p16 x.im x.im) x.im))
3.0ms	(*.p16 (+.p16 x.im x.im) x.im)

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(-.p16 (.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)) (.p16 (+.p16 x.im x.im) x.im))
0.0ms	(.p16 x.re (-.p16 (.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)) (*.p16 (+.p16 x.im x.im) x.im)))
0.0ms	(*.p16 (+.p16 x.im x.im) x.im)
0.0ms	(*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re))

simplify473.0ms

Counts: 21 → 21

prune420.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize269.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 13

Calls

4 calls:

Slowest

4.0ms	(.p16 x.im (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)))
3.0ms	(-.p16 (.p16 x.re x.re) (.p16 x.im x.im))
3.0ms	(.p16 (-.p16 (.p16 x.re x.re) (*.p16 x.im x.im)) x.re)
2.0ms	(-.p16 (.p16 (-.p16 (.p16 x.re x.re) (.p16 x.im x.im)) x.re) (.p16 x.im (+.p16 (.p16 x.re x.im) (.p16 x.im x.re))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(-.p16 (.p16 (-.p16 (.p16 x.re x.re) (.p16 x.im x.im)) x.re) (.p16 x.im (+.p16 (.p16 x.re x.im) (.p16 x.im x.re))))
0.0ms	(-.p16 (.p16 x.re 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	(.p16 (-.p16 (.p16 x.re x.re) (*.p16 x.im x.im)) x.re)

simplify11.8s

Counts: 17 → 17

prune194.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes264.0ms

Accuracy

-∞% (-63.6b remaining)

Error of 0.4b against oracle of 64.0b and baseline of 64.0b

bsearch2.0ms

end0.0ms

sample2.5s

Algorithm

halfpoints

Results