Average Error: 0.2 → 0.2
Time: 3.4s
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 r188144 = x;
        double r188145 = y;
        double r188146 = r188144 * r188145;
        double r188147 = r188146 * r188145;
        return r188147;
}
↓
double f(double x, double y) {
        double r188148 = x;
        double r188149 = y;
        double r188150 = r188148 * r188149;
        double r188151 = r188150 * r188149;
        return r188151;
}

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 2020062 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))