Average Error: 0.1 → 0.1
Time: 1.3s
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 r119076 = x;
        double r119077 = r119076 * r119076;
        double r119078 = y;
        double r119079 = 4.0;
        double r119080 = r119078 * r119079;
        double r119081 = z;
        double r119082 = r119080 * r119081;
        double r119083 = r119077 - r119082;
        return r119083;
}
↓
double f(double x, double y, double z) {
        double r119084 = x;
        double r119085 = r119084 * r119084;
        double r119086 = y;
        double r119087 = 4.0;
        double r119088 = r119086 * r119087;
        double r119089 = z;
        double r119090 = r119088 * r119089;
        double r119091 = r119085 - r119090;
        return r119091;
}

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 2019308 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  :precision binary64
  (- (* x x) (* (* y 4) z)))