Average Error: 0.2 → 0.2
Time: 20.3s
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 r29941934 = x;
        double r29941935 = y;
        double r29941936 = r29941934 * r29941935;
        double r29941937 = r29941936 * r29941935;
        return r29941937;
}
↓
double f(double x, double y) {
        double r29941938 = x;
        double r29941939 = y;
        double r29941940 = r29941938 * r29941939;
        double r29941941 = r29941940 * r29941939;
        return r29941941;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

    \[\left(x \cdot y\right) \cdot y\]

  2. Final simplification0.2

    \[\leadsto \left(x \cdot y\right) \cdot y\]

Reproduce

herbie shell --seed 2019173 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  (* (* x y) y))