Average Error: 0.2 → 0.2

Time: 15.0s

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 r177489 = x;
        double r177490 = y;
        double r177491 = r177489 * r177490;
        double r177492 = r177491 * r177490;
        return r177492;
}

↓

double f(double x, double y) {
        double r177493 = x;
        double r177494 = y;
        double r177495 = r177493 * r177494;
        double r177496 = r177495 * r177494;
        return r177496;
}

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 2019325 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))