Average Error: 0.0 → 0.0
Time: 13.1s
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 r99404 = x;
        double r99405 = r99404 * r99404;
        double r99406 = y;
        double r99407 = 4.0;
        double r99408 = r99406 * r99407;
        double r99409 = z;
        double r99410 = r99408 * r99409;
        double r99411 = r99405 - r99410;
        return r99411;
}
↓
double f(double x, double y, double z) {
        double r99412 = x;
        double r99413 = r99412 * r99412;
        double r99414 = y;
        double r99415 = 4.0;
        double r99416 = r99414 * r99415;
        double r99417 = z;
        double r99418 = r99416 * r99417;
        double r99419 = r99413 - r99418;
        return r99419;
}

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 2019322 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  :precision binary64
  (- (* x x) (* (* y 4) z)))