Average Error: 0.1 → 0.1
Time: 3.3s
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 r8971591 = x;
        double r8971592 = r8971591 * r8971591;
        double r8971593 = y;
        double r8971594 = 4.0;
        double r8971595 = r8971593 * r8971594;
        double r8971596 = z;
        double r8971597 = r8971595 * r8971596;
        double r8971598 = r8971592 - r8971597;
        return r8971598;
}
↓
double f(double x, double y, double z) {
        double r8971599 = x;
        double r8971600 = r8971599 * r8971599;
        double r8971601 = y;
        double r8971602 = 4.0;
        double r8971603 = r8971601 * r8971602;
        double r8971604 = z;
        double r8971605 = r8971603 * r8971604;
        double r8971606 = r8971600 - r8971605;
        return r8971606;
}

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 2019162 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  (- (* x x) (* (* y 4.0) z)))