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 r184439 = x;
        double r184440 = r184439 * r184439;
        double r184441 = y;
        double r184442 = 4.0;
        double r184443 = r184441 * r184442;
        double r184444 = z;
        double r184445 = r184443 * r184444;
        double r184446 = r184440 - r184445;
        return r184446;
}
↓
double f(double x, double y, double z) {
        double r184447 = x;
        double r184448 = r184447 * r184447;
        double r184449 = y;
        double r184450 = 4.0;
        double r184451 = r184449 * r184450;
        double r184452 = z;
        double r184453 = r184451 * r184452;
        double r184454 = r184448 - r184453;
        return r184454;
}

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)))