Average Error: 0.0 → 0.0
Time: 6.8s
Precision: 64
\[x \cdot x - \left(y \cdot 4\right) \cdot z\]
↓
\[x \cdot x - \left(y \cdot 4\right) \cdot z\]
x \cdot x - \left(y \cdot 4\right) \cdot z
↓
x \cdot x - \left(y \cdot 4\right) \cdot z
double f(double x, double y, double z) {
        double r8561671 = x;
        double r8561672 = r8561671 * r8561671;
        double r8561673 = y;
        double r8561674 = 4.0;
        double r8561675 = r8561673 * r8561674;
        double r8561676 = z;
        double r8561677 = r8561675 * r8561676;
        double r8561678 = r8561672 - r8561677;
        return r8561678;
}
↓
double f(double x, double y, double z) {
        double r8561679 = x;
        double r8561680 = r8561679 * r8561679;
        double r8561681 = y;
        double r8561682 = 4.0;
        double r8561683 = r8561681 * r8561682;
        double r8561684 = z;
        double r8561685 = r8561683 * r8561684;
        double r8561686 = r8561680 - r8561685;
        return r8561686;
}

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

    \[x \cdot x - \left(y \cdot 4\right) \cdot z\]

  2. Final simplification0.0

    \[\leadsto x \cdot x - \left(y \cdot 4\right) \cdot z\]

Reproduce

herbie shell --seed 2019171 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  (- (* x x) (* (* y 4.0) z)))