Average Error: 0.1 → 0.1
Time: 4.5s
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 r4133566 = x;
        double r4133567 = r4133566 * r4133566;
        double r4133568 = y;
        double r4133569 = 4.0;
        double r4133570 = r4133568 * r4133569;
        double r4133571 = z;
        double r4133572 = r4133570 * r4133571;
        double r4133573 = r4133567 - r4133572;
        return r4133573;
}
↓
double f(double x, double y, double z) {
        double r4133574 = x;
        double r4133575 = r4133574 * r4133574;
        double r4133576 = y;
        double r4133577 = 4.0;
        double r4133578 = r4133576 * r4133577;
        double r4133579 = z;
        double r4133580 = r4133578 * r4133579;
        double r4133581 = r4133575 - r4133580;
        return r4133581;
}

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