Average Error: 0.0 → 0.0
Time: 2.8s
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 r219888 = x;
        double r219889 = r219888 * r219888;
        double r219890 = y;
        double r219891 = 4.0;
        double r219892 = r219890 * r219891;
        double r219893 = z;
        double r219894 = r219892 * r219893;
        double r219895 = r219889 - r219894;
        return r219895;
}
↓
double f(double x, double y, double z) {
        double r219896 = x;
        double r219897 = r219896 * r219896;
        double r219898 = y;
        double r219899 = 4.0;
        double r219900 = r219898 * r219899;
        double r219901 = z;
        double r219902 = r219900 * r219901;
        double r219903 = r219897 - r219902;
        return r219903;
}

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 2020025 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  :precision binary64
  (- (* x x) (* (* y 4) z)))