Details

sample152.0ms

Algorithm

halfpoints

Results

simplify4.1s

Counts: 1 → 1

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize185.0ms

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 8

Calls

4 calls:

Slowest

4.0ms	(.p16 (-.p16 (.p16 x.re x.re) (*.p16 x.im x.im)) x.im)
4.0ms	(+.p16 (.p16 (-.p16 (.p16 x.re x.re) (.p16 x.im x.im)) x.im) (.p16 (+.p16 (.p16 x.re x.im) (.p16 x.im x.re)) x.re))
4.0ms	(+.p16 (.p16 x.re x.im) (.p16 x.im x.re))
3.0ms	(-.p16 (.p16 x.re x.re) (.p16 x.im 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.im) (.p16 (+.p16 (.p16 x.re x.im) (.p16 x.im x.re)) x.re))
0.0ms	(+.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.im)

simplify1.5s

Counts: 12 → 12

prune221.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize155.0ms

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 11

Calls

4 calls:

Slowest

7.0ms	(+.p16 (.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)) (.p16 (+.p16 x.re x.re) x.re))
6.0ms	(*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re))
6.0ms	(*.p16 (+.p16 x.re x.re) x.re)
4.0ms	(.p16 x.im (+.p16 (.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)) (*.p16 (+.p16 x.re x.re) x.re)))

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

simplify1.4s

Counts: 15 → 15

prune195.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize207.0ms

Local error

Found 4 expressions with local error:

0.4b	(-.p16 (.p16 x.re (+.p16 x.re (+.p16 x.re x.re))) (.p16 x.im x.im))
0.2b	(.p16 (-.p16 (.p16 x.re (+.p16 x.re (+.p16 x.re x.re))) (*.p16 x.im x.im)) x.im)
0.2b	(*.p16 x.re (+.p16 x.re (+.p16 x.re x.re)))
0.0b	(+.p16 x.re (+.p16 x.re x.re))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 11

Calls

4 calls:

Slowest

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

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify4.2s

Counts: 15 → 15

prune217.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

localize158.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 7

Calls

4 calls:

Slowest

6.0ms	(.p16 (+.p16 (.p16 x.re x.re) (-.p16 (.p16 (+.p16 x.re x.re) x.re) (.p16 x.im x.im))) x.im)
5.0ms	(+.p16 (.p16 x.re x.re) (-.p16 (.p16 (+.p16 x.re x.re) x.re) (*.p16 x.im x.im)))
4.0ms	(-.p16 (.p16 (+.p16 x.re x.re) x.re) (.p16 x.im x.im))
3.0ms	(*.p16 (+.p16 x.re x.re) x.re)

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify794.0ms

Counts: 11 → 11

prune216.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

regimes307.0ms

Accuracy

-∞% (-63.6b remaining)

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

bsearch1.0ms

end0.0ms

sample2.7s

Algorithm

halfpoints

Results