Average Error: 0.0 → 0.0
Time: 3.3s
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 r188083 = x;
        double r188084 = r188083 * r188083;
        double r188085 = y;
        double r188086 = 4.0;
        double r188087 = r188085 * r188086;
        double r188088 = z;
        double r188089 = r188087 * r188088;
        double r188090 = r188084 - r188089;
        return r188090;
}
↓
double f(double x, double y, double z) {
        double r188091 = x;
        double r188092 = r188091 * r188091;
        double r188093 = y;
        double r188094 = 4.0;
        double r188095 = r188093 * r188094;
        double r188096 = z;
        double r188097 = r188095 * r188096;
        double r188098 = r188092 - r188097;
        return r188098;
}

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 2020047 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  :precision binary64
  (- (* x x) (* (* y 4) z)))