Average Error: 0.1 → 0.1
Time: 11.5s
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 r149410 = x;
        double r149411 = r149410 * r149410;
        double r149412 = y;
        double r149413 = 4.0;
        double r149414 = r149412 * r149413;
        double r149415 = z;
        double r149416 = r149414 * r149415;
        double r149417 = r149411 - r149416;
        return r149417;
}
↓
double f(double x, double y, double z) {
        double r149418 = x;
        double r149419 = r149418 * r149418;
        double r149420 = y;
        double r149421 = 4.0;
        double r149422 = r149420 * r149421;
        double r149423 = z;
        double r149424 = r149422 * r149423;
        double r149425 = r149419 - r149424;
        return r149425;
}

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 2019199 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  (- (* x x) (* (* y 4.0) z)))