Details

sample66.0ms

Algorithm

halfpoints

Results

simplify188.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

188.0ms

(+.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))

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize194.0ms

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 (.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 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 (.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)

simplify1.7s

Counts

8 → 12

Calls

8 calls:

Slowest

564.0ms	(.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)
315.0ms	(+.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))
292.0ms	(+.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))
283.0ms	(+.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))
210.0ms	(+.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))

prune191.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize190.0ms

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 (.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))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 6

Calls

4 calls:

Slowest

6.0ms	(.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) (.p16 x.im x.re))
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 (.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))

simplify5.0ms

Counts

5 → 10

Calls

5 calls:

Slowest

1.0ms	(+.p16 x.re x.im)
1.0ms	(+.p16 x.re x.im)
1.0ms	(+.p16 x.re x.im)
1.0ms	(+.p16 x.re x.im)
1.0ms	(+.p16 x.re x.im)

prune93.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize275.0ms

Local error

Found 4 expressions with local error:

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))))
0.3b	(+.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))

rewrite28.0ms

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

9.0ms	(*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))
8.0ms	(+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (.p16 x.re (+.p16 x.re x.re)))
6.0ms	(*.p16 x.re (+.p16 x.re x.re))
4.0ms	(.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 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 (+.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

15 → 19

Calls

15 calls:

Slowest

535.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
407.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
407.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
389.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
17.0ms	(.p16 x.im (.p16 x.re (+.p16 x.re x.re)))

prune343.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize201.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 28

Calls

4 calls:

Slowest

14.0ms	(+.p16 (.p16 x.im (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (.p16 x.im (.p16 x.re (+.p16 x.re x.re))))
6.0ms	(.p16 x.im (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)))
4.0ms	(*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))
4.0ms	(.p16 x.im (.p16 x.re (+.p16 x.re x.re)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify354.0ms

Counts

28 → 32

Calls

28 calls:

Slowest

54.0ms	(+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (.p16 x.re (+.p16 x.re x.re)))
29.0ms	(.p16 x.im (.p16 (neg.p16 x.im) (+.p16 x.im x.re)))
28.0ms	(.p16 (.p16 (neg.p16 x.im) (+.p16 x.im x.re)) x.im)
26.0ms	(+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (.p16 x.re (+.p16 x.re x.re)))
23.0ms	(.p16 x.im (.p16 (+.p16 x.im x.re) (neg.p16 x.im)))

prune685.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes275.0ms

Accuracy

-∞% (-63.6b remaining)

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

bsearch2.0ms

end0.0ms

sample3.5s

Algorithm

halfpoints

Results