Average Error: 0.2 → 0.2

Time: 3.7s

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 r271930 = x;
        double r271931 = y;
        double r271932 = r271930 * r271931;
        double r271933 = r271932 * r271931;
        return r271933;
}

↓

double f(double x, double y) {
        double r271934 = x;
        double r271935 = y;
        double r271936 = r271934 * r271935;
        double r271937 = r271936 * r271935;
        return r271937;
}

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 2020021 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))