Average Error: 0.1 → 0.1
Time: 1.7s
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 r144355 = x;
        double r144356 = r144355 * r144355;
        double r144357 = y;
        double r144358 = 4.0;
        double r144359 = r144357 * r144358;
        double r144360 = z;
        double r144361 = r144359 * r144360;
        double r144362 = r144356 - r144361;
        return r144362;
}
↓
double f(double x, double y, double z) {
        double r144363 = x;
        double r144364 = r144363 * r144363;
        double r144365 = y;
        double r144366 = 4.0;
        double r144367 = r144365 * r144366;
        double r144368 = z;
        double r144369 = r144367 * r144368;
        double r144370 = r144364 - r144369;
        return r144370;
}

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 0.1

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

  2. Final simplification0.1

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

Reproduce

herbie shell --seed 1978988140 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  :precision binary64
  (- (* x x) (* (* y 4) z)))