Average Error: 0.2 → 0.2

Time: 3.3s

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 r272656 = x;
        double r272657 = y;
        double r272658 = r272656 * r272657;
        double r272659 = r272658 * r272657;
        return r272659;
}

↓

double f(double x, double y) {
        double r272660 = x;
        double r272661 = y;
        double r272662 = r272660 * r272661;
        double r272663 = r272662 * r272661;
        return r272663;
}

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 2020001 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))