Details

sample189.0ms

Algorithm

halfpoints

Results

simplify13.0ms

Calls

1 calls:

Slowest

13.0ms

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

prune70.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize160.0ms

Local error

Found 1 expressions with local error:

0.3b	(-.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))

simplify14.0ms

Calls

1 calls:

Slowest

14.0ms

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

prune194.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize273.0ms

Local error

Found 4 expressions with local error:

1.3b	(/.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.im y.im) (*.p16 x.im y.im))
0.2b	(-.p16 (.p16 (.p16 x.re y.re) (.p16 x.re y.re)) (.p16 (.p16 x.im y.im) (.p16 x.im y.im)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

7.0ms	(/.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)))
6.0ms	(-.p16 (.p16 (.p16 x.re y.re) (.p16 x.re y.re)) (.p16 (.p16 x.im y.im) (.p16 x.im y.im)))
4.0ms	(.p16 (.p16 x.im y.im) (*.p16 x.im y.im))
4.0ms	(+.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 (.p16 x.re y.re) (.p16 x.re y.re)) (.p16 (.p16 x.im y.im) (.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))

simplify235.0ms

Calls

4 calls:

Slowest

192.0ms	(-.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))))
18.0ms	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))
14.0ms	(-.p16 (.p16 x.re y.re) (.p16 x.im y.im))
9.0ms	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))

prune865.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize114.0ms

Local error

Found 4 expressions with local error:

0.8b	(/.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))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

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

simplify67.0ms

Calls

7 calls:

Slowest

13.0ms	(-.p16 (.p16 x.re y.re) (.p16 x.im y.im))
9.0ms	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))
9.0ms	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))
9.0ms	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))
8.0ms	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))

prune464.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize103.0ms

Local error

Found 4 expressions with local error:

1.3b	(/.p16 (.p16 (+.p16 (.p16 x.re y.re) (.p16 x.im y.im)) (-.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))
0.3b	(-.p16 (.p16 x.re y.re) (.p16 x.im y.im))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

6.0ms	(/.p16 (.p16 (+.p16 (.p16 x.re y.re) (.p16 x.im y.im)) (-.p16 (.p16 x.re y.re) (.p16 x.im y.im))) (+.p16 (.p16 x.re y.re) (*.p16 x.im y.im)))
4.0ms	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))
4.0ms	(+.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 (.p16 x.re y.re) (.p16 x.im y.im)) (-.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))
0.0ms	(-.p16 (.p16 x.re y.re) (.p16 x.im y.im))

simplify682.0ms

Calls

10 calls:

Slowest

614.0ms	(.p16 (+.p16 (.p16 x.re y.re) (.p16 x.im y.im)) (-.p16 (.p16 (.p16 x.re y.re) (.p16 x.re y.re)) (.p16 (.p16 x.im y.im) (*.p16 x.im y.im))))
14.0ms	(-.p16 (.p16 x.re y.re) (.p16 x.im y.im))
10.0ms	(-.p16 (.p16 x.re y.re) (.p16 x.im y.im))
9.0ms	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))
8.0ms	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))

prune365.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

regimes1.3s

Accuracy

-∞% (-63.7b remaining)

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

bsearch1.0ms

end0.0ms

sample3.7s

Algorithm

halfpoints

Results