Average Error: 0.0 → 0.0
Time: 10.7s
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 r159454 = x;
        double r159455 = r159454 * r159454;
        double r159456 = y;
        double r159457 = 4.0;
        double r159458 = r159456 * r159457;
        double r159459 = z;
        double r159460 = r159458 * r159459;
        double r159461 = r159455 - r159460;
        return r159461;
}
↓
double f(double x, double y, double z) {
        double r159462 = x;
        double r159463 = r159462 * r159462;
        double r159464 = y;
        double r159465 = 4.0;
        double r159466 = r159464 * r159465;
        double r159467 = z;
        double r159468 = r159466 * r159467;
        double r159469 = r159463 - r159468;
        return r159469;
}

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 2019235 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  :precision binary64
  (- (* x x) (* (* y 4) z)))