Average Error: 0.1 → 0.1
Time: 2.3s
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 r178500 = x;
        double r178501 = r178500 * r178500;
        double r178502 = y;
        double r178503 = 4.0;
        double r178504 = r178502 * r178503;
        double r178505 = z;
        double r178506 = r178504 * r178505;
        double r178507 = r178501 - r178506;
        return r178507;
}
↓
double f(double x, double y, double z) {
        double r178508 = x;
        double r178509 = r178508 * r178508;
        double r178510 = y;
        double r178511 = 4.0;
        double r178512 = r178510 * r178511;
        double r178513 = z;
        double r178514 = r178512 * r178513;
        double r178515 = r178509 - r178514;
        return r178515;
}

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 2020062 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  :precision binary64
  (- (* x x) (* (* y 4) z)))