Details

sample174.0ms

Algorithm

halfpoints

Results

simplify124.0ms

Calls

1 calls:

Slowest

124.0ms

(-.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))

prune104.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize315.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

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

series0.0ms

Calls

4 calls:

Slowest

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

simplify698.0ms

Calls

14 calls:

Slowest

157.0ms	(-.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)))
140.0ms	(-.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)))
130.0ms	(-.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)))
114.0ms	(-.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)))
29.0ms	(.p16 x.re (.p16 (neg.p16 x.im) (+.p16 x.im x.re)))

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize120.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

10.0ms	(-.p16 (.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))) (.p16 x.im (.p16 x.re (+.p16 x.im x.im))))
3.0ms	(.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)))
2.0ms	(.p16 x.im (.p16 x.re (+.p16 x.im x.im)))
1.0ms	(*.p16 x.re (+.p16 x.im x.im))

series0.0ms

Calls

4 calls:

Slowest

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

simplify171.0ms

Calls

21 calls:

Slowest

24.0ms	(.p16 x.re (.p16 (neg.p16 x.im) (+.p16 x.im x.re)))
22.0ms	(.p16 x.re (.p16 (+.p16 x.im x.re) (neg.p16 x.im)))
19.0ms	(.p16 x.re (.p16 x.re (+.p16 x.im x.re)))
19.0ms	(.p16 (.p16 (neg.p16 x.im) (+.p16 x.im x.re)) x.re)
16.0ms	(.p16 (.p16 (+.p16 x.im x.re) (neg.p16 x.im)) x.re)

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize161.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

6.0ms	(.p16 (.p16 x.re (+.p16 x.im x.re)) (-.p16 x.re x.im))
5.0ms	(-.p16 (.p16 (.p16 x.re (+.p16 x.im x.re)) (-.p16 x.re x.im)) (.p16 x.im (.p16 x.re (+.p16 x.im x.im))))
4.0ms	(.p16 x.im (.p16 x.re (+.p16 x.im x.im)))
2.0ms	(*.p16 x.re (+.p16 x.im x.im))

series0.0ms

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

simplify163.0ms

Calls

20 calls:

Slowest

26.0ms	(.p16 (neg.p16 x.im) (.p16 x.re (+.p16 x.im x.re)))
23.0ms	(.p16 (.p16 x.re (+.p16 x.im x.re)) (neg.p16 x.im))
22.0ms	(.p16 x.re (.p16 x.re (+.p16 x.im x.re)))
18.0ms	(.p16 (.p16 x.re (+.p16 x.im x.re)) x.re)
16.0ms	(.p16 (.p16 x.re x.im) x.im)

prune1.6s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize187.0ms

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

15.0ms	(.p16 x.im (.p16 x.re x.im))
6.0ms	(-.p16 (-.p16 (.p16 (.p16 x.re (+.p16 x.im x.re)) (-.p16 x.re x.im)) (.p16 x.im (.p16 x.re x.im))) (.p16 x.im (.p16 x.re x.im)))
4.0ms	(-.p16 (.p16 (.p16 x.re (+.p16 x.im x.re)) (-.p16 x.re x.im)) (.p16 x.im (.p16 x.re x.im)))
2.0ms	(.p16 x.im (.p16 x.re x.im))

series0.0ms

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

simplify246.0ms

Calls

10 calls:

Slowest

71.0ms	(.p16 (.p16 x.re (+.p16 x.im x.re)) (-.p16 x.re x.im))
68.0ms	(.p16 (.p16 x.re (+.p16 x.im x.re)) (-.p16 x.re x.im))
23.0ms	(.p16 x.re (.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)

prune966.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes722.0ms

Accuracy

-∞% (-63.6b remaining)

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

bsearch1.0ms

end0.0ms

sample3.6s

Algorithm

halfpoints

Results