Average Error: 0.0 → 0.0
Time: 6.3s
Precision: 64
\[x \cdot x - \left(y \cdot 4\right) \cdot z\]
↓
\[x \cdot x - \left(y \cdot 4\right) \cdot z\]
x \cdot x - \left(y \cdot 4\right) \cdot z
↓
x \cdot x - \left(y \cdot 4\right) \cdot z
double f(double x, double y, double z) {
        double r155769 = x;
        double r155770 = r155769 * r155769;
        double r155771 = y;
        double r155772 = 4.0;
        double r155773 = r155771 * r155772;
        double r155774 = z;
        double r155775 = r155773 * r155774;
        double r155776 = r155770 - r155775;
        return r155776;
}
↓
double f(double x, double y, double z) {
        double r155777 = x;
        double r155778 = r155777 * r155777;
        double r155779 = y;
        double r155780 = 4.0;
        double r155781 = r155779 * r155780;
        double r155782 = z;
        double r155783 = r155781 * r155782;
        double r155784 = r155778 - r155783;
        return r155784;
}

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 0.0

    \[x \cdot x - \left(y \cdot 4\right) \cdot z\]

  2. Final simplification0.0

    \[\leadsto x \cdot x - \left(y \cdot 4\right) \cdot z\]

Reproduce

herbie shell --seed 2019174 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  (- (* x x) (* (* y 4.0) z)))