Average Error: 0.0 → 0.0
Time: 2.0s
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 r218164 = x;
        double r218165 = r218164 * r218164;
        double r218166 = y;
        double r218167 = 4.0;
        double r218168 = r218166 * r218167;
        double r218169 = z;
        double r218170 = r218168 * r218169;
        double r218171 = r218165 - r218170;
        return r218171;
}
↓
double f(double x, double y, double z) {
        double r218172 = x;
        double r218173 = r218172 * r218172;
        double r218174 = y;
        double r218175 = 4.0;
        double r218176 = r218174 * r218175;
        double r218177 = z;
        double r218178 = r218176 * r218177;
        double r218179 = r218173 - r218178;
        return r218179;
}

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 2020046 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  :precision binary64
  (- (* x x) (* (* y 4) z)))