Average Error: 0.2 → 0.2
Time: 4.4s
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 r185947 = x;
        double r185948 = y;
        double r185949 = r185947 * r185948;
        double r185950 = r185949 * r185948;
        return r185950;
}
↓
double f(double x, double y) {
        double r185951 = x;
        double r185952 = y;
        double r185953 = r185951 * r185952;
        double r185954 = r185953 * r185952;
        return r185954;
}

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 1978988140 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))