Average Error: 0.0 → 0.0
Time: 10.4s
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 r9839069 = x;
        double r9839070 = r9839069 * r9839069;
        double r9839071 = y;
        double r9839072 = 4.0;
        double r9839073 = r9839071 * r9839072;
        double r9839074 = z;
        double r9839075 = r9839073 * r9839074;
        double r9839076 = r9839070 - r9839075;
        return r9839076;
}
↓
double f(double x, double y, double z) {
        double r9839077 = x;
        double r9839078 = r9839077 * r9839077;
        double r9839079 = y;
        double r9839080 = 4.0;
        double r9839081 = r9839079 * r9839080;
        double r9839082 = z;
        double r9839083 = r9839081 * r9839082;
        double r9839084 = r9839078 - r9839083;
        return r9839084;
}

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 2019165 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  (- (* x x) (* (* y 4.0) z)))