Average Error: 0.2 → 0.2
Time: 14.5s
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 r215942 = x;
        double r215943 = y;
        double r215944 = r215942 * r215943;
        double r215945 = r215944 * r215943;
        return r215945;
}
↓
double f(double x, double y) {
        double r215946 = x;
        double r215947 = y;
        double r215948 = r215946 * r215947;
        double r215949 = r215948 * r215947;
        return r215949;
}

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 2019323 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))