Average Error: 0.1 → 0.1
Time: 2.2s
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 r152915 = x;
        double r152916 = r152915 * r152915;
        double r152917 = y;
        double r152918 = 4.0;
        double r152919 = r152917 * r152918;
        double r152920 = z;
        double r152921 = r152919 * r152920;
        double r152922 = r152916 - r152921;
        return r152922;
}
↓
double f(double x, double y, double z) {
        double r152923 = x;
        double r152924 = r152923 * r152923;
        double r152925 = y;
        double r152926 = 4.0;
        double r152927 = r152925 * r152926;
        double r152928 = z;
        double r152929 = r152927 * r152928;
        double r152930 = r152924 - r152929;
        return r152930;
}

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 2020001 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  :precision binary64
  (- (* x x) (* (* y 4) z)))