Average Error: 0.1 → 0.1
Time: 4.4s
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 r2486132 = x;
        double r2486133 = r2486132 * r2486132;
        double r2486134 = y;
        double r2486135 = 4.0;
        double r2486136 = r2486134 * r2486135;
        double r2486137 = z;
        double r2486138 = r2486136 * r2486137;
        double r2486139 = r2486133 - r2486138;
        return r2486139;
}
↓
double f(double x, double y, double z) {
        double r2486140 = x;
        double r2486141 = r2486140 * r2486140;
        double r2486142 = y;
        double r2486143 = 4.0;
        double r2486144 = r2486142 * r2486143;
        double r2486145 = z;
        double r2486146 = r2486144 * r2486145;
        double r2486147 = r2486141 - r2486146;
        return r2486147;
}

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

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

  2. Final simplification0.1

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

Reproduce

herbie shell --seed 2019156 +o rules:numerics
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  (- (* x x) (* (* y 4.0) z)))