Average Error: 0.2 → 0.2

Time: 3.0s

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 r254444 = x;
        double r254445 = y;
        double r254446 = r254444 * r254445;
        double r254447 = r254446 * r254445;
        return r254447;
}

↓

double f(double x, double y) {
        double r254448 = x;
        double r254449 = y;
        double r254450 = r254448 * r254449;
        double r254451 = r254450 * r254449;
        return r254451;
}

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 2020064 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))