Average Error: 0.0 → 0.0
Time: 17.6s
Precision: 64
\[x \cdot x - \left(y \cdot 4.0\right) \cdot z\]
↓
\[x \cdot x - \left(y \cdot 4.0\right) \cdot z\]
x \cdot x - \left(y \cdot 4.0\right) \cdot z
↓
x \cdot x - \left(y \cdot 4.0\right) \cdot z
double f(double x, double y, double z) {
        double r15334142 = x;
        double r15334143 = r15334142 * r15334142;
        double r15334144 = y;
        double r15334145 = 4.0;
        double r15334146 = r15334144 * r15334145;
        double r15334147 = z;
        double r15334148 = r15334146 * r15334147;
        double r15334149 = r15334143 - r15334148;
        return r15334149;
}
↓
double f(double x, double y, double z) {
        double r15334150 = x;
        double r15334151 = r15334150 * r15334150;
        double r15334152 = y;
        double r15334153 = 4.0;
        double r15334154 = r15334152 * r15334153;
        double r15334155 = z;
        double r15334156 = r15334154 * r15334155;
        double r15334157 = r15334151 - r15334156;
        return r15334157;
}

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

    \[x \cdot x - \left(y \cdot 4.0\right) \cdot z\]

  2. Final simplification0.0

    \[\leadsto x \cdot x - \left(y \cdot 4.0\right) \cdot z\]

Reproduce

herbie shell --seed 2019158 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  (- (* x x) (* (* y 4.0) z)))