Details

sample129.0ms

Algorithm

halfpoints

Results

simplify291.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

291.0ms

(+.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))

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize135.0ms

Local error

Found 4 expressions with local error:

0.3b	(+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (.p16 x.re (+.p16 x.re x.re)))
0.3b	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
0.1b	(*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))
0.0b	(*.p16 x.re (+.p16 x.re x.re))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 15

Calls

4 calls:

Slowest

12.0ms	(+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (.p16 x.re (+.p16 x.re x.re)))
4.0ms	(*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))
3.0ms	(*.p16 x.re (+.p16 x.re x.re))
2.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify2.2s

Counts

21 → 19

Calls

21 calls:

Slowest

567.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
548.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
526.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
316.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
33.0ms	(.p16 x.im (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)))

prune502.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize337.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

5×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-+r+`
3×	`associate-+l+`
2×	`+-commutative` `*-commutative`
1×	`distribute-rgt-out`

Counts

4 → 16

Calls

4 calls:

Slowest

11.0ms	(+.p16 (+.p16 (.p16 x.re (+.p16 x.im x.re)) (.p16 (neg.p16 x.im) (+.p16 x.im x.re))) (*.p16 x.re (+.p16 x.re x.re)))
7.0ms	(+.p16 (.p16 x.re (+.p16 x.im x.re)) (.p16 (neg.p16 x.im) (+.p16 x.im x.re)))
6.0ms	(.p16 x.im (+.p16 (+.p16 (.p16 x.re (+.p16 x.im x.re)) (.p16 (neg.p16 x.im) (+.p16 x.im x.re))) (.p16 x.re (+.p16 x.re x.re))))
6.0ms	(*.p16 (neg.p16 x.im) (+.p16 x.im x.re))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify674.0ms

Counts

24 → 20

Calls

24 calls:

Slowest

134.0ms	(.p16 (+.p16 (.p16 x.re (+.p16 x.im x.re)) (*.p16 (neg.p16 x.im) (+.p16 x.im x.re))) x.im)
116.0ms	(.p16 x.im (+.p16 (.p16 x.re (+.p16 x.im x.re)) (*.p16 (neg.p16 x.im) (+.p16 x.im x.re))))
111.0ms	(+.p16 (+.p16 (.p16 x.re (+.p16 x.im x.re)) (.p16 (neg.p16 x.im) (+.p16 x.im x.re))) (*.p16 x.re x.re))
97.0ms	(+.p16 (+.p16 (.p16 x.re (+.p16 x.im x.re)) (.p16 (neg.p16 x.im) (+.p16 x.im x.re))) (*.p16 x.re x.re))
20.0ms	(+.p16 (.p16 x.re (+.p16 x.im x.re)) (.p16 (neg.p16 x.im) x.im))

prune391.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize166.0ms

Local error

Found 4 expressions with local error:

0.3b	(+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (.p16 x.re (+.p16 x.re x.re)))
0.3b	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
0.1b	(*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))
0.0b	(*.p16 x.re (+.p16 x.re x.re))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 15

Calls

4 calls:

Slowest

16.0ms	(*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))
4.0ms	(+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (.p16 x.re (+.p16 x.re x.re)))
3.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
3.0ms	(*.p16 x.re (+.p16 x.re x.re))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify1.8s

Counts

21 → 19

Calls

21 calls:

Slowest

410.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
403.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
377.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
334.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
62.0ms	(.p16 x.im (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)))

prune357.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize213.0ms

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)

rewrite20.0ms

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

6.0ms	(+.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))
5.0ms	(-.p16 (.p16 x.re x.re) (.p16 x.im x.im))
5.0ms	(.p16 (-.p16 (.p16 x.re x.re) (*.p16 x.im x.im)) x.im)
4.0ms	(.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 (.p16 x.re x.re) (*.p16 x.im x.im)) x.im)
0.0ms	(-.p16 (.p16 x.re x.re) (.p16 x.im x.im))

simplify1.4s

Counts

11 → 12

Calls

11 calls:

Slowest

367.0ms	(.p16 (-.p16 (.p16 (.p16 x.re x.re) (.p16 x.re x.re)) (.p16 (.p16 x.im x.im) (*.p16 x.im x.im))) x.im)
255.0ms	(+.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))
237.0ms	(+.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))
223.0ms	(+.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))
196.0ms	(+.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))

prune159.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes179.0ms

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