Average Error: 0.2 → 0.2

Time: 22.4s

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 r210744 = x;
        double r210745 = y;
        double r210746 = r210744 * r210745;
        double r210747 = r210746 * r210745;
        return r210747;
}

↓

double f(double x, double y) {
        double r210748 = x;
        double r210749 = y;
        double r210750 = r210748 * r210749;
        double r210751 = r210750 * r210749;
        return r210751;
}

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 2019303 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))