Average Error: 0.2 → 0.2
Time: 9.7s
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 r10159697 = x;
        double r10159698 = y;
        double r10159699 = r10159697 * r10159698;
        double r10159700 = r10159699 * r10159698;
        return r10159700;
}
↓
double f(double x, double y) {
        double r10159701 = x;
        double r10159702 = y;
        double r10159703 = r10159701 * r10159702;
        double r10159704 = r10159703 * r10159702;
        return r10159704;
}

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 2019174 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  (* (* x y) y))