Average Error: 0.0 → 0.0
Time: 1.5s
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 r8214919 = x;
        double r8214920 = r8214919 * r8214919;
        double r8214921 = y;
        double r8214922 = 4.0;
        double r8214923 = r8214921 * r8214922;
        double r8214924 = z;
        double r8214925 = r8214923 * r8214924;
        double r8214926 = r8214920 - r8214925;
        return r8214926;
}
↓
double f(double x, double y, double z) {
        double r8214927 = x;
        double r8214928 = r8214927 * r8214927;
        double r8214929 = y;
        double r8214930 = 4.0;
        double r8214931 = r8214929 * r8214930;
        double r8214932 = z;
        double r8214933 = r8214931 * r8214932;
        double r8214934 = r8214928 - r8214933;
        return r8214934;
}

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

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2019163 +o rules:numerics
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  (- (* x x) (* (* y 4.0) z)))