Details

sample70.0ms

Algorithm

halfpoints

Results

simplify161.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

161.0ms

(+.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

localize115.0ms

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))))
0.2b	(+.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))

rewrite20.0ms

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

11.0ms	(*.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.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 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))

simplify1.6s

Counts

15 → 19

Calls

15 calls:

Slowest

451.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
397.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
387.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
368.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (*.p16 x.re (+.p16 x.re x.re))))
10.0ms	(.p16 x.im (.p16 x.re (+.p16 x.re x.re)))

prune312.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize175.0ms

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 15

Calls

4 calls:

Slowest

10.0ms	(+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (+.p16 (.p16 x.re x.re) (*.p16 x.re x.re)))
9.0ms	(.p16 x.im (+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (+.p16 (.p16 x.re x.re) (.p16 x.re x.re))))
6.0ms	(*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))
5.0ms	(+.p16 (.p16 x.re 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 (.p16 x.re x.re) (.p16 x.re x.re))))
0.0ms	(+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (+.p16 (.p16 x.re x.re) (*.p16 x.re x.re)))
0.0ms	(*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))
0.0ms	(+.p16 (.p16 x.re x.re) (.p16 x.re x.re))

simplify55.0ms

Counts

15 → 19

Calls

15 calls:

Slowest

14.0ms	(.p16 (+.p16 (.p16 x.re x.re) (*.p16 x.re x.re)) x.im)
12.0ms	(.p16 x.im (+.p16 (.p16 x.re x.re) (*.p16 x.re x.re)))
5.0ms	(*.p16 (neg.p16 x.im) (+.p16 x.im x.re))
5.0ms	(*.p16 x.re (+.p16 x.im x.re))
4.0ms	(*.p16 (+.p16 x.im x.re) (neg.p16 x.im))

prune248.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize196.0ms

Local error

Found 4 expressions with local error:

0.4b	(.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))

rewrite32.0ms

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

10.0ms	(+.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))))
8.0ms	(.p16 x.im (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)))
7.0ms	(*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))
6.0ms	(.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 (+.p16 x.im x.re) (-.p16 x.re x.im))
0.0ms	(.p16 x.im (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)))

simplify310.0ms

Counts

28 → 32

Calls

28 calls:

Slowest

42.0ms	(+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (.p16 x.re (+.p16 x.re x.re)))
39.0ms	(+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (.p16 x.re (+.p16 x.re x.re)))
20.0ms	(.p16 x.im (.p16 (neg.p16 x.im) (+.p16 x.im x.re)))
19.0ms	(.p16 (.p16 (neg.p16 x.im) (+.p16 x.im x.re)) x.im)
18.0ms	(.p16 x.im (.p16 x.re (+.p16 x.im x.re)))

prune548.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize149.0ms

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))))
0.2b	(+.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))

rewrite13.0ms

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

4.0ms	(*.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.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 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))

simplify197.0ms

Counts

15 → 19

Calls

15 calls:

Slowest

40.0ms	(+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (.p16 x.re (+.p16 x.re x.re)))
39.0ms	(+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (.p16 x.re (+.p16 x.re x.re)))
37.0ms	(+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (.p16 x.re (+.p16 x.re x.re)))
37.0ms	(+.p16 (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)) (.p16 x.re (+.p16 x.re x.re)))
11.0ms	(.p16 (.p16 x.re (+.p16 x.re x.re)) x.im)

prune246.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes208.0ms

Accuracy

-∞% (-63.6b remaining)

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

bsearch1.0ms

end0.0ms

sample2.3s

Algorithm

halfpoints

Results