Details

sample173.0ms

Algorithm

halfpoints

Results

simplify101.0ms

Calls

1 calls:

Slowest

101.0ms

(-.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))

prune66.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize425.0ms

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)

rewrite20.0ms

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

8.0ms	(.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))
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)

simplify708.0ms

Calls

14 calls:

Slowest

155.0ms	(-.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)))
145.0ms	(-.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)))
119.0ms	(-.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)))
112.0ms	(-.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)))
31.0ms	(.p16 x.re (.p16 (neg.p16 x.im) (+.p16 x.im x.re)))

prune1.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize110.0ms

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))

rewrite20.0ms

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

7.0ms	(.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 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 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))

simplify230.0ms

Calls

21 calls:

Slowest

30.0ms	(.p16 x.re (.p16 (neg.p16 x.im) (+.p16 x.im x.re)))
27.0ms	(.p16 (.p16 (neg.p16 x.im) (+.p16 x.im x.re)) x.re)
24.0ms	(.p16 x.re (.p16 (+.p16 x.im x.re) (neg.p16 x.im)))
22.0ms	(.p16 x.re (.p16 x.re (+.p16 x.im x.re)))
19.0ms	(.p16 (.p16 (+.p16 x.im x.re) (neg.p16 x.im)) x.re)

prune1.8s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize105.0ms

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))

rewrite27.0ms

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

13.0ms	(*.p16 x.re (+.p16 x.im x.im))
6.0ms	(.p16 (.p16 x.re (+.p16 x.im x.re)) (-.p16 x.re x.im))
4.0ms	(.p16 x.im (.p16 x.re (+.p16 x.im 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 (+.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 (.p16 x.re (+.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))

simplify160.0ms

Calls

20 calls:

Slowest

28.0ms	(.p16 (neg.p16 x.im) (.p16 x.re (+.p16 x.im x.re)))
25.0ms	(.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)))
19.0ms	(.p16 (.p16 x.re (+.p16 x.im x.re)) x.re)
7.0ms	(.p16 x.im (.p16 x.im x.re))

prune1.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize197.0ms

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

rewrite16.0ms

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

6.0ms	(-.p16 (-.p16 (.p16 (.p16 x.re (+.p16 x.im x.re)) (-.p16 x.re x.im)) (.p16 x.im (.p16 x.im x.re))) (.p16 x.im (.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 x.im x.re)))
3.0ms	(.p16 x.im (.p16 x.im x.re))
2.0ms	(.p16 x.im (.p16 x.im x.re))

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

simplify246.0ms

Calls

10 calls:

Slowest

70.0ms	(.p16 (.p16 x.re (+.p16 x.im x.re)) (-.p16 x.re x.im))
69.0ms	(.p16 (.p16 x.re (+.p16 x.im x.re)) (-.p16 x.re x.im))
22.0ms	(.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)

prune989.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes739.0ms

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