Average Error: 0.1 → 0.1
Time: 12.4s
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 r8448853 = x;
        double r8448854 = r8448853 * r8448853;
        double r8448855 = y;
        double r8448856 = 4.0;
        double r8448857 = r8448855 * r8448856;
        double r8448858 = z;
        double r8448859 = r8448857 * r8448858;
        double r8448860 = r8448854 - r8448859;
        return r8448860;
}
↓
double f(double x, double y, double z) {
        double r8448861 = x;
        double r8448862 = r8448861 * r8448861;
        double r8448863 = y;
        double r8448864 = 4.0;
        double r8448865 = r8448863 * r8448864;
        double r8448866 = z;
        double r8448867 = r8448865 * r8448866;
        double r8448868 = r8448862 - r8448867;
        return r8448868;
}

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

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

  2. Final simplification0.1

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

Reproduce

herbie shell --seed 2019192 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  (- (* x x) (* (* y 4.0) z)))