Average Error: 0.1 → 0.1
Time: 3.3s
Precision: 64
\[x \cdot x - \left(y \cdot 4.0\right) \cdot z\]
↓
\[x \cdot x - \left(y \cdot 4.0\right) \cdot z\]
x \cdot x - \left(y \cdot 4.0\right) \cdot z
↓
x \cdot x - \left(y \cdot 4.0\right) \cdot z
double f(double x, double y, double z) {
        double r8427974 = x;
        double r8427975 = r8427974 * r8427974;
        double r8427976 = y;
        double r8427977 = 4.0;
        double r8427978 = r8427976 * r8427977;
        double r8427979 = z;
        double r8427980 = r8427978 * r8427979;
        double r8427981 = r8427975 - r8427980;
        return r8427981;
}
↓
double f(double x, double y, double z) {
        double r8427982 = x;
        double r8427983 = r8427982 * r8427982;
        double r8427984 = y;
        double r8427985 = 4.0;
        double r8427986 = r8427984 * r8427985;
        double r8427987 = z;
        double r8427988 = r8427986 * r8427987;
        double r8427989 = r8427983 - r8427988;
        return r8427989;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[x \cdot x - \left(y \cdot 4.0\right) \cdot z\]

  2. Final simplification0.1

    \[\leadsto x \cdot x - \left(y \cdot 4.0\right) \cdot z\]

Reproduce

herbie shell --seed 2019162 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  (- (* x x) (* (* y 4.0) z)))