Average Error: 0.0 → 0.0
Time: 804.0ms
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 r141703 = x;
        double r141704 = r141703 * r141703;
        double r141705 = y;
        double r141706 = 4.0;
        double r141707 = r141705 * r141706;
        double r141708 = z;
        double r141709 = r141707 * r141708;
        double r141710 = r141704 - r141709;
        return r141710;
}
↓
double f(double x, double y, double z) {
        double r141711 = x;
        double r141712 = r141711 * r141711;
        double r141713 = y;
        double r141714 = 4.0;
        double r141715 = r141713 * r141714;
        double r141716 = z;
        double r141717 = r141715 * r141716;
        double r141718 = r141712 - r141717;
        return r141718;
}

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 2020020 +o rules:numerics
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  :precision binary64
  (- (* x x) (* (* y 4) z)))