Details

sample72.0ms

Algorithm

halfpoints

Results

simplify3.9s

Counts: 1 → 1

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize325.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 8

Calls

4 calls:

Slowest

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

simplify1.9s

Counts: 11 → 12

prune312.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize263.0ms

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))
0.3b	(.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)

rewrite25.0ms

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))
7.0ms	(*.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)

simplify1.3s

Counts: 15 → 15

prune156.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize147.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 20

Calls

4 calls:

Slowest

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

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify220.0ms

Counts: 30 → 24

prune242.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize164.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 7

Calls

4 calls:

Slowest

5.0ms	(.p16 (+.p16 x.re x.im) (.p16 (-.p16 x.re x.im) x.im))
5.0ms	(+.p16 (.p16 (+.p16 x.re x.im) (.p16 (-.p16 x.re x.im) x.im)) (.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.re))
3.0ms	(*.p16 (-.p16 x.re x.im) x.im)
2.0ms	(.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) 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.im)) (.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.re))
0.0ms	(.p16 (+.p16 x.re x.im) (.p16 (-.p16 x.re x.im) x.im))
0.0ms	(*.p16 (-.p16 x.re x.im) x.im)
0.0ms	(.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.re)

simplify1.4s

Counts: 7 → 11

prune93.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes212.0ms

Accuracy

-∞% (-63.6b remaining)

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

bsearch1.0ms

end0.0ms

sample2.4s

Algorithm

halfpoints

Results