Details

sample184.0ms

Algorithm

halfpoints

Results

simplify41.0ms

Calls

1 calls:

Slowest

41.0ms

(-.p16 (*.p16 x.re y.re) (*.p16 x.im y.im))

prune60.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize146.0ms

Local error

Found 1 expressions with local error:

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

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

1×	`sub-neg` `p16-flip--`

Calls

1 calls:

Slowest

2.0ms

(-.p16 (*.p16 x.re y.re) (*.p16 x.im y.im))

series0.0ms

Calls

1 calls:

Slowest

0.0ms

(-.p16 (*.p16 x.re y.re) (*.p16 x.im y.im))

simplify33.0ms

Calls

1 calls:

Slowest

33.0ms

(-.p16 (*.p16 x.re y.re) (*.p16 x.im y.im))

prune202.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize229.0ms

Local error

Found 4 expressions with local error:

1.5b	(/.p16 (-.p16 (.p16 (.p16 x.re y.re) (.p16 x.re y.re)) (.p16 (.p16 x.im y.im) (.p16 x.im y.im))) (+.p16 (.p16 x.re y.re) (.p16 x.im y.im)))
0.3b	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))
0.2b	(.p16 (.p16 x.re y.re) (*.p16 x.re y.re))
0.2b	(.p16 (.p16 x.im y.im) (*.p16 x.im y.im))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-r` `associate-l` `*-commutative`
1×	`+-commutative` `p16-flip--` `associate-/l*` `difference-of-squares` `associate-/l/`

Calls

4 calls:

Slowest

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

series0.0ms

Calls

4 calls:

Slowest

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

simplify166.0ms

Calls

2 calls:

Slowest

160.0ms

(-.p16 (*.p16 (*.p16 (*.p16 x.re y.re) (*.p16 x.re y.re)) (*.p16 (*.p16 x.re y.re) (*.p16 x.re y.re))) (*.p16 (*.p16 (*.p16 x.im y.im) (*.p16 x.im y.im)) (*.p16 (*.p16 x.im y.im) (*.p16 x.im y.im))))

5.0ms

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

prune654.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize69.0ms

Local error

Found 4 expressions with local error:

0.9b	(/.p16 (+.p16 (.p16 x.re y.re) (.p16 x.im y.im)) (-.p16 (.p16 x.re y.re) (.p16 x.im y.im)))
0.3b	(/.p16 (+.p16 (.p16 x.re y.re) (.p16 x.im y.im)) (/.p16 (+.p16 (.p16 x.re y.re) (.p16 x.im y.im)) (-.p16 (.p16 x.re y.re) (.p16 x.im y.im))))
0.3b	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))
0.3b	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`associate-/r/`
2×	`+-commutative` `p16-flip--`
1×	`associate-/r*`

Calls

4 calls:

Slowest

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

series0.0ms

Calls

4 calls:

Slowest

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

simplify39.0ms

Calls

7 calls:

Slowest

8.0ms	(-.p16 (.p16 x.re y.re) (.p16 x.im y.im))
6.0ms	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))
5.0ms	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))
5.0ms	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))
5.0ms	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))

prune413.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize209.0ms

Local error

Found 4 expressions with local error:

1.5b	(/.p16 (-.p16 (.p16 x.re (.p16 y.re (.p16 x.re y.re))) (.p16 (.p16 x.im y.im) (.p16 x.im y.im))) (+.p16 (.p16 x.re y.re) (.p16 x.im y.im)))
0.3b	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))
0.2b	(.p16 (.p16 x.im y.im) (*.p16 x.im y.im))
0.2b	(.p16 x.re (.p16 y.re (*.p16 x.re y.re)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

4.0ms	(.p16 x.re (.p16 y.re (*.p16 x.re y.re)))
3.0ms	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))
3.0ms	(.p16 (.p16 x.im y.im) (*.p16 x.im y.im))
3.0ms	(/.p16 (-.p16 (.p16 x.re (.p16 y.re (.p16 x.re y.re))) (.p16 (.p16 x.im y.im) (.p16 x.im y.im))) (+.p16 (.p16 x.re y.re) (.p16 x.im y.im)))

series0.0ms

Calls

4 calls:

Slowest

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

simplify146.0ms

Calls

2 calls:

Slowest

143.0ms

(-.p16 (*.p16 (*.p16 x.re (*.p16 y.re (*.p16 x.re y.re))) (*.p16 x.re (*.p16 y.re (*.p16 x.re y.re)))) (*.p16 (*.p16 (*.p16 x.im y.im) (*.p16 x.im y.im)) (*.p16 (*.p16 x.im y.im) (*.p16 x.im y.im))))

2.0ms

(*.p16 x.re y.re)

prune452.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.1b

regimes1.9s

Accuracy

-∞% (-63.7b remaining)

Error of 0.3b against oracle of 64.0b and baseline of 64.0b

bsearch1.0ms

end0.0ms

sample4.7s

Algorithm

halfpoints

Results