Average Error: 0.1 → 0.1
Time: 8.7s
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 r147029 = x;
        double r147030 = r147029 * r147029;
        double r147031 = y;
        double r147032 = 4.0;
        double r147033 = r147031 * r147032;
        double r147034 = z;
        double r147035 = r147033 * r147034;
        double r147036 = r147030 - r147035;
        return r147036;
}
↓
double f(double x, double y, double z) {
        double r147037 = x;
        double r147038 = r147037 * r147037;
        double r147039 = y;
        double r147040 = 4.0;
        double r147041 = r147039 * r147040;
        double r147042 = z;
        double r147043 = r147041 * r147042;
        double r147044 = r147038 - r147043;
        return r147044;
}

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

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

  2. Final simplification0.1

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

Reproduce

herbie shell --seed 2019294 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  :precision binary64
  (- (* x x) (* (* y 4) z)))