Average Error: 0.2 → 0.2

Time: 3.1s

Precision: 64

\[\left(x \cdot y\right) \cdot y\]

↓

\[\left(x \cdot y\right) \cdot y\]

\left(x \cdot y\right) \cdot y

↓

\left(x \cdot y\right) \cdot y

double f(double x, double y) {
        double r249522 = x;
        double r249523 = y;
        double r249524 = r249522 * r249523;
        double r249525 = r249524 * r249523;
        return r249525;
}

↓

double f(double x, double y) {
        double r249526 = x;
        double r249527 = y;
        double r249528 = r249526 * r249527;
        double r249529 = r249528 * r249527;
        return r249529;
}

Error

The X axis uses an exponential scale — Bits error versus `x`

Try it out

In
Out

Enter valid numbers for all inputs

Derivation

Initial program 0.2
\[\left(x \cdot y\right) \cdot y\]
Final simplification0.2
\[\leadsto \left(x \cdot y\right) \cdot y\]

Reproduce

herbie shell --seed 2020003 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))