Average Error: 0.2 → 0.2
Time: 15.4s
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 r190972 = x;
        double r190973 = y;
        double r190974 = r190972 * r190973;
        double r190975 = r190974 * r190973;
        return r190975;
}
↓
double f(double x, double y) {
        double r190976 = x;
        double r190977 = y;
        double r190978 = r190976 * r190977;
        double r190979 = r190978 * r190977;
        return r190979;
}

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 2019325 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))