Average Error: 0.1 → 0.1
Time: 5.5s
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 r10609820 = x;
        double r10609821 = r10609820 * r10609820;
        double r10609822 = y;
        double r10609823 = 4.0;
        double r10609824 = r10609822 * r10609823;
        double r10609825 = z;
        double r10609826 = r10609824 * r10609825;
        double r10609827 = r10609821 - r10609826;
        return r10609827;
}
↓
double f(double x, double y, double z) {
        double r10609828 = x;
        double r10609829 = r10609828 * r10609828;
        double r10609830 = y;
        double r10609831 = 4.0;
        double r10609832 = r10609830 * r10609831;
        double r10609833 = z;
        double r10609834 = r10609832 * r10609833;
        double r10609835 = r10609829 - r10609834;
        return r10609835;
}

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 2019164 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  (- (* x x) (* (* y 4.0) z)))