Average Error: 0.1 → 0.1
Time: 6.9s
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 r120317 = x;
        double r120318 = r120317 * r120317;
        double r120319 = y;
        double r120320 = 4.0;
        double r120321 = r120319 * r120320;
        double r120322 = z;
        double r120323 = r120321 * r120322;
        double r120324 = r120318 - r120323;
        return r120324;
}
↓
double f(double x, double y, double z) {
        double r120325 = x;
        double r120326 = r120325 * r120325;
        double r120327 = y;
        double r120328 = 4.0;
        double r120329 = r120327 * r120328;
        double r120330 = z;
        double r120331 = r120329 * r120330;
        double r120332 = r120326 - r120331;
        return r120332;
}

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 2019325 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  :precision binary64
  (- (* x x) (* (* y 4) z)))