Details

sample102.0ms

Algorithm

halfpoints

Results

simplify86.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

86.0ms

(-.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))

prune65.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize365.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

3×	`p16-flip--`
2×	`sub-neg` `*-commutative` `difference-of-squares`
1×	`associate-l` `associate-*l/`

Counts

4 → 9

Calls

4 calls:

Slowest

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

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

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

simplify791.0ms

Counts

8 → 13

Calls

8 calls:

Slowest

378.0ms	(.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.re)
156.0ms	(-.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))
96.0ms	(-.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))
80.0ms	(-.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))
77.0ms	(-.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))

prune633.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize394.0ms

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

rewrite40.0ms

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

11.0ms	(-.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)))
11.0ms	(.p16 x.re (.p16 (+.p16 x.im x.re) (-.p16 x.re x.im)))
9.0ms	(.p16 x.im (.p16 (+.p16 x.im x.im) x.re))
8.0ms	(*.p16 (+.p16 x.im x.re) (-.p16 x.re x.im))

series0.0ms

Counts

4 → 4

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

simplify684.0ms

Counts

17 → 23

Calls

17 calls:

Slowest

149.0ms	(-.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)))
125.0ms	(-.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)))
107.0ms	(-.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)))
105.0ms	(-.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)))
30.0ms	(.p16 x.re (.p16 (neg.p16 x.im) (+.p16 x.im x.re)))

prune1.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize273.0ms

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

rewrite43.0ms

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

14.0ms	(*.p16 x.re (+.p16 x.im x.re))
10.0ms	(.p16 (.p16 x.re (+.p16 x.im x.re)) (-.p16 x.re x.im))
9.0ms	(.p16 x.im (.p16 (+.p16 x.im x.im) x.re))
9.0ms	(-.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))

simplify65.0ms

Counts

11 → 18

Calls

11 calls:

Slowest

19.0ms	(.p16 (.p16 x.re (+.p16 x.im x.re)) x.re)
13.0ms	(.p16 (neg.p16 x.im) (.p16 x.re (+.p16 x.im x.re)))
12.0ms	(.p16 x.re (.p16 x.re (+.p16 x.im x.re)))
11.0ms	(.p16 (.p16 x.re (+.p16 x.im x.re)) (neg.p16 x.im))
1.0ms	(-.p16 x.re x.im)

prune788.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize323.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 7

Calls

4 calls:

Slowest

10.0ms	(.p16 (+.p16 x.re x.im) (.p16 (-.p16 x.re x.im) x.re))
6.0ms	(+.p16 (.p16 x.re x.im) (.p16 x.im x.re))
5.0ms	(-.p16 (.p16 (+.p16 x.re x.im) (.p16 (-.p16 x.re x.im) x.re)) (.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.im))
4.0ms	(.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.im)

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

simplify10.0ms

Counts

5 → 11

Calls

5 calls:

Slowest

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

prune523.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.1b

regimes873.0ms

Accuracy

-∞% (-63.6b remaining)

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

bsearch1.0ms

end0.0ms

sample3.4s

Algorithm

halfpoints

Results