Details

sample117.0ms

Algorithm

halfpoints

Results

simplify1.3s

Counts: 1 → 1

prune37.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize349.0ms

Local error

Found 4 expressions with local error:

0.4b	(-.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)

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))
4.0ms	(.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 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 (.p16 x.re x.im) (*.p16 x.im x.re)) x.im)

simplify10.5s

Counts: 13 → 13

prune240.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize305.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 7

Calls

4 calls:

Slowest

7.0ms	(.p16 (.p16 (+.p16 x.re x.im) (-.p16 x.re x.im)) x.re)
5.0ms	(+.p16 (.p16 x.re x.im) (.p16 x.im x.re))
5.0ms	(-.p16 (.p16 (.p16 (+.p16 x.re x.im) (-.p16 x.re x.im)) x.re) (.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.im))
4.0ms	(.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.im) (-.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.re x.im)) x.re)
0.0ms	(+.p16 (.p16 x.re x.im) (.p16 x.im x.re))
0.0ms	(.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.im)

simplify15.2s

Counts: 11 → 11

prune201.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize169.0ms

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)
0.1b	(+.p16 (.p16 x.re x.im) (.p16 x.im x.re))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 7

Calls

4 calls:

Slowest

6.0ms	(.p16 (+.p16 x.re x.im) (.p16 (-.p16 x.re x.im) x.re))
5.0ms	(+.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))
2.0ms	(.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 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) (.p16 x.im x.re))

simplify12.8s

Counts: 11 → 11

prune128.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize157.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

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

4.0ms	(*.p16 (+.p16 x.im x.im) x.im)
3.0ms	(*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re))
3.0ms	(.p16 x.re (-.p16 (.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)) (*.p16 (+.p16 x.im x.im) x.im)))
2.0ms	(-.p16 (.p16 (-.p16 x.re 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 (-.p16 x.re x.im) (+.p16 x.im x.re)) (*.p16 (+.p16 x.im x.im) x.im)))
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 (-.p16 x.re x.im) (+.p16 x.im x.re))
0.0ms	(*.p16 (+.p16 x.im x.im) x.im)

simplify544.0ms

Counts: 21 → 21

prune307.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes182.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch1.0ms

end0.0ms

sample2.4s

Algorithm

halfpoints

Results