Details

sample136.0ms

Algorithm

halfpoints

Results

simplify9.0ms

Calls

1 calls:

Slowest

9.0ms

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

prune33.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize110.0ms

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))

simplify6.0ms

Calls

1 calls:

Slowest

6.0ms

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

prune123.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize249.0ms

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

rewrite38.0ms

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

17.0ms	(/.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)))
10.0ms	(-.p16 (.p16 (.p16 x.re y.re) (.p16 x.re y.re)) (.p16 (.p16 x.im y.im) (.p16 x.im y.im)))
6.0ms	(.p16 (.p16 x.im y.im) (*.p16 x.im y.im))
5.0ms	(+.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))

simplify119.0ms

Calls

4 calls:

Slowest

101.0ms	(-.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))))
8.0ms	(-.p16 (.p16 x.re y.re) (.p16 x.im y.im))
5.0ms	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))
4.0ms	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))

prune462.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize213.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

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))
4.0ms	(/.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)))
3.0ms	(-.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))

simplify572.0ms

Calls

10 calls:

Slowest

521.0ms	(.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))))
8.0ms	(-.p16 (.p16 x.re y.re) (.p16 x.im y.im))
7.0ms	(-.p16 (.p16 x.re y.re) (.p16 x.im y.im))
6.0ms	(-.p16 (.p16 x.re y.re) (.p16 x.im y.im))
6.0ms	(-.p16 (.p16 x.re y.re) (.p16 x.im y.im))

prune320.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize246.0ms

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

7.0ms	(-.p16 (.p16 (.p16 x.re y.re) (.p16 x.re y.re)) (.p16 (.p16 (.p16 x.im y.im) x.im) y.im))
7.0ms	(/.p16 (-.p16 (.p16 (.p16 x.re y.re) (.p16 x.re y.re)) (.p16 (.p16 (.p16 x.im y.im) x.im) y.im)) (+.p16 (.p16 x.re y.re) (.p16 x.im y.im)))
5.0ms	(.p16 (.p16 (*.p16 x.im y.im) x.im) y.im)
3.0ms	(+.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 (.p16 x.im y.im) 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 (.p16 x.im y.im) x.im) y.im))
0.0ms	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))
0.0ms	(.p16 (.p16 (*.p16 x.im y.im) x.im) y.im)

simplify100.0ms

Calls

2 calls:

Slowest

98.0ms

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

1.0ms

(*.p16 x.im y.im)

prune307.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

regimes1.0s

Accuracy

-∞% (-63.7b remaining)

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

bsearch1.0ms

end0.0ms

sample3.6s

Algorithm

halfpoints

Results