Details

sample118.0ms

Algorithm

halfpoints

Results

simplify1.1s

Counts: 1 → 1

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize156.0ms

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)

rewrite24.0ms

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)))
5.0ms	(*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))
4.0ms	(*.p16 (+.p16 x.im x.im) x.im)
3.0ms	(-.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)

simplify497.0ms

Counts: 27 → 21

prune484.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize229.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

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

4.0ms	(.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.im)
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 (+.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 x.re x.re) (.p16 x.im x.im))
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.im) (*.p16 x.im x.re)) x.im)
0.0ms	(.p16 (-.p16 (.p16 x.re x.re) (*.p16 x.im x.im)) x.re)

simplify465.0ms

Counts: 14 → 13

prune324.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize292.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 8

Calls

4 calls:

Slowest

9.0ms	(.p16 (+.p16 x.re x.im) (.p16 (-.p16 x.re x.im) x.re))
5.0ms	(-.p16 (.p16 (+.p16 x.re x.im) (.p16 (-.p16 x.re x.im) x.re)) (.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.im))
3.0ms	(.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.im)
3.0ms	(*.p16 (-.p16 x.re x.im) x.re)

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify525.0ms

Counts: 10 → 12

prune266.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize323.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 17

Calls

4 calls:

Slowest

9.0ms	(+.p16 (.p16 x.re (+.p16 x.im x.re)) (-.p16 (.p16 (neg.p16 x.im) (+.p16 x.im x.re)) (*.p16 (+.p16 x.im x.im) x.im)))
8.0ms	(.p16 x.re (+.p16 (.p16 x.re (+.p16 x.im x.re)) (-.p16 (.p16 (neg.p16 x.im) (+.p16 x.im x.re)) (.p16 (+.p16 x.im x.im) x.im))))
6.0ms	(*.p16 (neg.p16 x.im) (+.p16 x.im x.re))
4.0ms	(-.p16 (.p16 (neg.p16 x.im) (+.p16 x.im x.re)) (.p16 (+.p16 x.im x.im) x.im))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify310.0ms

Counts: 23 → 21

prune427.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes186.0ms

Accuracy

-∞% (-63.6b remaining)

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

bsearch1.0ms

end0.0ms

sample2.6s

Algorithm

halfpoints

Results