Average Error: 0.0 → 0.0
Time: 1.3s
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 r9535415 = x;
        double r9535416 = r9535415 * r9535415;
        double r9535417 = y;
        double r9535418 = 4.0;
        double r9535419 = r9535417 * r9535418;
        double r9535420 = z;
        double r9535421 = r9535419 * r9535420;
        double r9535422 = r9535416 - r9535421;
        return r9535422;
}
↓
double f(double x, double y, double z) {
        double r9535423 = x;
        double r9535424 = r9535423 * r9535423;
        double r9535425 = y;
        double r9535426 = 4.0;
        double r9535427 = r9535425 * r9535426;
        double r9535428 = z;
        double r9535429 = r9535427 * r9535428;
        double r9535430 = r9535424 - r9535429;
        return r9535430;
}

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 2019163 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  (- (* x x) (* (* y 4.0) z)))