Average Error: 0.2 → 0.2

Time: 17.4s

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 r154209 = x;
        double r154210 = y;
        double r154211 = r154209 * r154210;
        double r154212 = r154211 * r154210;
        return r154212;
}

↓

double f(double x, double y) {
        double r154213 = x;
        double r154214 = y;
        double r154215 = r154213 * r154214;
        double r154216 = r154215 * r154214;
        return r154216;
}

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 2019326 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))