Average Error: 0.0 → 0.0
Time: 9.2s
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 r192569 = x;
        double r192570 = r192569 * r192569;
        double r192571 = y;
        double r192572 = 4.0;
        double r192573 = r192571 * r192572;
        double r192574 = z;
        double r192575 = r192573 * r192574;
        double r192576 = r192570 - r192575;
        return r192576;
}
↓
double f(double x, double y, double z) {
        double r192577 = x;
        double r192578 = r192577 * r192577;
        double r192579 = y;
        double r192580 = 4.0;
        double r192581 = r192579 * r192580;
        double r192582 = z;
        double r192583 = r192581 * r192582;
        double r192584 = r192578 - r192583;
        return r192584;
}

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 2019306 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  :precision binary64
  (- (* x x) (* (* y 4) z)))