Average Error: 0.2 → 0.2
Time: 17.3s
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 r168048 = x;
        double r168049 = y;
        double r168050 = r168048 * r168049;
        double r168051 = r168050 * r168049;
        return r168051;
}
↓
double f(double x, double y) {
        double r168052 = x;
        double r168053 = y;
        double r168054 = r168052 * r168053;
        double r168055 = r168054 * r168053;
        return r168055;
}

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