Average Error: 0.0 → 0.0
Time: 12.8s
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 r8302946 = x;
        double r8302947 = r8302946 * r8302946;
        double r8302948 = y;
        double r8302949 = 4.0;
        double r8302950 = r8302948 * r8302949;
        double r8302951 = z;
        double r8302952 = r8302950 * r8302951;
        double r8302953 = r8302947 - r8302952;
        return r8302953;
}
↓
double f(double x, double y, double z) {
        double r8302954 = x;
        double r8302955 = r8302954 * r8302954;
        double r8302956 = y;
        double r8302957 = 4.0;
        double r8302958 = r8302956 * r8302957;
        double r8302959 = z;
        double r8302960 = r8302958 * r8302959;
        double r8302961 = r8302955 - r8302960;
        return r8302961;
}

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 2019168 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  (- (* x x) (* (* y 4.0) z)))