Average Error: 0.1 → 0.1
Time: 2.2s
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 r246403 = x;
        double r246404 = r246403 * r246403;
        double r246405 = y;
        double r246406 = 4.0;
        double r246407 = r246405 * r246406;
        double r246408 = z;
        double r246409 = r246407 * r246408;
        double r246410 = r246404 - r246409;
        return r246410;
}
↓
double f(double x, double y, double z) {
        double r246411 = x;
        double r246412 = r246411 * r246411;
        double r246413 = y;
        double r246414 = 4.0;
        double r246415 = r246413 * r246414;
        double r246416 = z;
        double r246417 = r246415 * r246416;
        double r246418 = r246412 - r246417;
        return r246418;
}

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 2020036 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  :precision binary64
  (- (* x x) (* (* y 4) z)))