Average Error: 0.0 → 0.0
Time: 8.4s
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 r10571982 = x;
        double r10571983 = r10571982 * r10571982;
        double r10571984 = y;
        double r10571985 = 4.0;
        double r10571986 = r10571984 * r10571985;
        double r10571987 = z;
        double r10571988 = r10571986 * r10571987;
        double r10571989 = r10571983 - r10571988;
        return r10571989;
}
↓
double f(double x, double y, double z) {
        double r10571990 = x;
        double r10571991 = r10571990 * r10571990;
        double r10571992 = y;
        double r10571993 = 4.0;
        double r10571994 = r10571992 * r10571993;
        double r10571995 = z;
        double r10571996 = r10571994 * r10571995;
        double r10571997 = r10571991 - r10571996;
        return r10571997;
}

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

    \[x \cdot x - \left(y \cdot 4.0\right) \cdot z\]

  2. Final simplification0.0

    \[\leadsto x \cdot x - \left(y \cdot 4.0\right) \cdot z\]

Reproduce

herbie shell --seed 2019158 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  (- (* x x) (* (* y 4.0) z)))