Average Error: 0.0 → 0.0
Time: 3.4s
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 r217381 = x;
        double r217382 = r217381 * r217381;
        double r217383 = y;
        double r217384 = 4.0;
        double r217385 = r217383 * r217384;
        double r217386 = z;
        double r217387 = r217385 * r217386;
        double r217388 = r217382 - r217387;
        return r217388;
}
↓
double f(double x, double y, double z) {
        double r217389 = x;
        double r217390 = r217389 * r217389;
        double r217391 = y;
        double r217392 = 4.0;
        double r217393 = r217391 * r217392;
        double r217394 = z;
        double r217395 = r217393 * r217394;
        double r217396 = r217390 - r217395;
        return r217396;
}

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 2019356 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  :precision binary64
  (- (* x x) (* (* y 4) z)))