Average Error: 0.2 → 0.2
Time: 10.3s
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 r216755 = x;
        double r216756 = y;
        double r216757 = r216755 * r216756;
        double r216758 = r216757 * r216756;
        return r216758;
}
↓
double f(double x, double y) {
        double r216759 = x;
        double r216760 = y;
        double r216761 = r216759 * r216760;
        double r216762 = r216761 * r216760;
        return r216762;
}

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 2019303 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))