Average Error: 0.0 → 0.0
Time: 3.5s
Precision: 64
\[x \cdot x - \left(y \cdot 4\right) \cdot z\]
↓
\[x \cdot x - \left(y \cdot z\right) \cdot 4\]
x \cdot x - \left(y \cdot 4\right) \cdot z
↓
x \cdot x - \left(y \cdot z\right) \cdot 4
double f(double x, double y, double z) {
        double r179970 = x;
        double r179971 = r179970 * r179970;
        double r179972 = y;
        double r179973 = 4.0;
        double r179974 = r179972 * r179973;
        double r179975 = z;
        double r179976 = r179974 * r179975;
        double r179977 = r179971 - r179976;
        return r179977;
}
↓
double f(double x, double y, double z) {
        double r179978 = x;
        double r179979 = r179978 * r179978;
        double r179980 = y;
        double r179981 = z;
        double r179982 = r179980 * r179981;
        double r179983 = 4.0;
        double r179984 = r179982 * r179983;
        double r179985 = r179979 - r179984;
        return r179985;
}

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. Simplified0.0

    \[\leadsto \color{blue}{x \cdot x - \left(y \cdot z\right) \cdot 4}\]

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019179 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  (- (* x x) (* (* y 4.0) z)))