Average Error: 0.0 → 0.0
Time: 4.7s
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 r5313984 = x;
        double r5313985 = r5313984 * r5313984;
        double r5313986 = y;
        double r5313987 = 4.0;
        double r5313988 = r5313986 * r5313987;
        double r5313989 = z;
        double r5313990 = r5313988 * r5313989;
        double r5313991 = r5313985 - r5313990;
        return r5313991;
}
↓
double f(double x, double y, double z) {
        double r5313992 = x;
        double r5313993 = r5313992 * r5313992;
        double r5313994 = y;
        double r5313995 = 4.0;
        double r5313996 = r5313994 * r5313995;
        double r5313997 = z;
        double r5313998 = r5313996 * r5313997;
        double r5313999 = r5313993 - r5313998;
        return r5313999;
}

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 2019172 +o rules:numerics
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  (- (* x x) (* (* y 4.0) z)))