Details

sample81.0ms

Algorithm

halfpoints

Results

simplify89.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

89.0ms

(-.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))

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize180.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 19

Calls

4 calls:

Slowest

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

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify588.0ms

Counts

17 → 23

Calls

17 calls:

Slowest

158.0ms	(-.p16 (.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (.p16 x.im (.p16 (+.p16 x.im x.im) x.re)))
127.0ms	(-.p16 (.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (.p16 x.im (.p16 (+.p16 x.im x.im) x.re)))
104.0ms	(-.p16 (.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (.p16 x.im (.p16 (+.p16 x.im x.im) x.re)))
104.0ms	(-.p16 (.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (.p16 x.im (.p16 (+.p16 x.im x.im) x.re)))
15.0ms	(.p16 (.p16 (neg.p16 x.im) (+.p16 x.im x.re)) x.re)

prune567.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize228.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 14

Calls

4 calls:

Slowest

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

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify110.0ms

Counts

11 → 18

Calls

11 calls:

Slowest

28.0ms	(.p16 (neg.p16 x.im) (.p16 x.re (+.p16 x.im x.re)))
28.0ms	(.p16 (.p16 x.re (+.p16 x.im x.re)) (neg.p16 x.im))
21.0ms	(.p16 x.re (.p16 x.re (+.p16 x.im x.re)))
19.0ms	(.p16 (.p16 x.re (+.p16 x.im x.re)) x.re)
2.0ms	(-.p16 x.re x.im)

prune375.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize234.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 14

Calls

4 calls:

Slowest

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

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify102.0ms

Counts

7 → 18

Calls

7 calls:

Slowest

29.0ms	(.p16 (.p16 x.re (+.p16 x.im x.re)) (neg.p16 x.im))
26.0ms	(.p16 (neg.p16 x.im) (.p16 x.re (+.p16 x.im x.re)))
21.0ms	(.p16 x.re (.p16 x.re (+.p16 x.im x.re)))
19.0ms	(.p16 (.p16 x.re (+.p16 x.im x.re)) x.re)
2.0ms	(+.p16 x.re x.im)

prune354.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize313.0ms

Local error

Found 4 expressions with local error:

0.4b	(+.p16 (.p16 (.p16 x.re (+.p16 x.im x.re)) x.re) (-.p16 (.p16 (.p16 x.re (+.p16 x.im x.re)) (neg.p16 x.im)) (.p16 x.im (.p16 (+.p16 x.im x.im) x.re))))
0.2b	(-.p16 (.p16 (.p16 x.re (+.p16 x.im x.re)) (neg.p16 x.im)) (.p16 x.im (.p16 (+.p16 x.im x.im) x.re)))
0.2b	(.p16 (.p16 x.re (+.p16 x.im x.re)) (neg.p16 x.im))
0.2b	(.p16 x.im (.p16 (+.p16 x.im x.im) x.re))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 9

Calls

4 calls:

Slowest

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

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify82.0ms

Counts

6 → 13

Calls

6 calls:

Slowest

22.0ms	(neg.p16 (.p16 x.im (.p16 (+.p16 x.im x.im) x.re)))
18.0ms	(.p16 (.p16 x.re (+.p16 x.im x.re)) x.re)
15.0ms	(.p16 (.p16 x.re (+.p16 x.im x.re)) x.re)
9.0ms	(.p16 (.p16 x.re (+.p16 x.im x.re)) x.re)
9.0ms	(.p16 (.p16 x.re (+.p16 x.im x.re)) x.re)

prune323.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes319.0ms

Accuracy

-∞% (-63.6b remaining)

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

bsearch2.0ms

end0.0ms

sample3.3s

Algorithm

halfpoints

Results