Average Error: 0.0 → 0.0
Time: 5.3s
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 r120924 = x;
        double r120925 = r120924 * r120924;
        double r120926 = y;
        double r120927 = 4.0;
        double r120928 = r120926 * r120927;
        double r120929 = z;
        double r120930 = r120928 * r120929;
        double r120931 = r120925 - r120930;
        return r120931;
}
↓
double f(double x, double y, double z) {
        double r120932 = x;
        double r120933 = r120932 * r120932;
        double r120934 = y;
        double r120935 = 4.0;
        double r120936 = r120934 * r120935;
        double r120937 = z;
        double r120938 = r120936 * r120937;
        double r120939 = r120933 - r120938;
        return r120939;
}

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 2019304 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  :precision binary64
  (- (* x x) (* (* y 4) z)))