Details

sample66.0ms

Algorithm

halfpoints

Results

simplify1.4s

Counts: 1 → 1

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize298.0ms

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 x.re x.re) (*.p16 x.im x.im)) x.re)
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 x.re x.im) (.p16 x.im x.re))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 9

Calls

4 calls:

Slowest

10.0ms	(.p16 (-.p16 (.p16 x.re x.re) (*.p16 x.im x.im)) x.re)
3.0ms	(+.p16 (.p16 x.re x.im) (.p16 x.im x.re))
3.0ms	(-.p16 (.p16 x.re x.re) (.p16 x.im x.im))
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.re) (*.p16 x.im x.im)) x.re)
0.0ms	(+.p16 (.p16 x.re x.im) (.p16 x.im x.re))

simplify10.0s

Counts: 13 → 13

prune242.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize207.0ms

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 8

Calls

4 calls:

Slowest

5.0ms	(.p16 (+.p16 x.re x.im) (.p16 (-.p16 x.re x.im) x.re))
4.0ms	(+.p16 (.p16 x.re x.im) (.p16 x.im x.re))
3.0ms	(-.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 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 x.re x.im) (.p16 (-.p16 x.re x.im) x.re))
0.0ms	(+.p16 (.p16 x.re x.im) (.p16 x.im x.re))
0.0ms	(*.p16 (-.p16 x.re x.im) x.re)

simplify14.0s

Counts: 12 → 12

prune223.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize240.0ms

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)) (neg.p16 (+.p16 (.p16 (.p16 x.im x.re) x.im) (.p16 (.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 x.im x.re) x.im)
0.2b	(.p16 (.p16 x.im x.re) x.im)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 9

Calls

4 calls:

Slowest

7.0ms	(.p16 (+.p16 x.re x.im) (.p16 (-.p16 x.re x.im) x.re))
7.0ms	(+.p16 (.p16 (+.p16 x.re x.im) (.p16 (-.p16 x.re x.im) x.re)) (neg.p16 (+.p16 (.p16 (.p16 x.im x.re) x.im) (.p16 (.p16 x.im x.re) x.im))))
3.0ms	(.p16 (.p16 x.im x.re) x.im)
3.0ms	(.p16 (.p16 x.im x.re) x.im)

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

simplify2.0s

Counts: 13 → 13

prune259.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize156.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 10

Calls

4 calls:

Slowest

6.0ms	(.p16 x.re (.p16 x.im x.im))
4.0ms	(.p16 x.re (.p16 x.im x.im))
4.0ms	(.p16 (-.p16 (.p16 x.re x.re) (*.p16 x.im 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 x.re x.re) (*.p16 x.im x.im)) x.re)
0.0ms	(.p16 x.re (.p16 x.im x.im))
0.0ms	(.p16 x.re (.p16 x.im x.im))

simplify1.8s

Counts: 14 → 14

prune306.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes183.0ms

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