Average Error: 0.0 → 0.0
Time: 1.8s
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 r225027 = x;
        double r225028 = r225027 * r225027;
        double r225029 = y;
        double r225030 = 4.0;
        double r225031 = r225029 * r225030;
        double r225032 = z;
        double r225033 = r225031 * r225032;
        double r225034 = r225028 - r225033;
        return r225034;
}
↓
double f(double x, double y, double z) {
        double r225035 = x;
        double r225036 = r225035 * r225035;
        double r225037 = y;
        double r225038 = 4.0;
        double r225039 = r225037 * r225038;
        double r225040 = z;
        double r225041 = r225039 * r225040;
        double r225042 = r225036 - r225041;
        return r225042;
}

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 2020046 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  :precision binary64
  (- (* x x) (* (* y 4) z)))