Average Error: 0.0 → 0.0
Time: 11.0s
Precision: 64
\[x \cdot x - \left(y \cdot 4\right) \cdot z\]
↓
\[x \cdot x - \left(y \cdot z\right) \cdot 4\]
x \cdot x - \left(y \cdot 4\right) \cdot z
↓
x \cdot x - \left(y \cdot z\right) \cdot 4
double f(double x, double y, double z) {
        double r157388 = x;
        double r157389 = r157388 * r157388;
        double r157390 = y;
        double r157391 = 4.0;
        double r157392 = r157390 * r157391;
        double r157393 = z;
        double r157394 = r157392 * r157393;
        double r157395 = r157389 - r157394;
        return r157395;
}
↓
double f(double x, double y, double z) {
        double r157396 = x;
        double r157397 = r157396 * r157396;
        double r157398 = y;
        double r157399 = z;
        double r157400 = r157398 * r157399;
        double r157401 = 4.0;
        double r157402 = r157400 * r157401;
        double r157403 = r157397 - r157402;
        return r157403;
}

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. Simplified0.0

    \[\leadsto \color{blue}{x \cdot x - \left(y \cdot z\right) \cdot 4}\]

  3. Final simplification0.0

    \[\leadsto x \cdot x - \left(y \cdot z\right) \cdot 4\]

Reproduce

herbie shell --seed 2019194 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  (- (* x x) (* (* y 4.0) z)))