Average Error: 0.2 → 0.2
Time: 3.1s
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 r256764 = x;
        double r256765 = y;
        double r256766 = r256764 * r256765;
        double r256767 = r256766 * r256765;
        return r256767;
}
↓
double f(double x, double y) {
        double r256768 = x;
        double r256769 = y;
        double r256770 = r256768 * r256769;
        double r256771 = r256770 * r256769;
        return r256771;
}

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 2020036 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))