Average Error: 0.0 → 0.0
Time: 6.7s
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 r10694392 = x;
        double r10694393 = r10694392 * r10694392;
        double r10694394 = y;
        double r10694395 = 4.0;
        double r10694396 = r10694394 * r10694395;
        double r10694397 = z;
        double r10694398 = r10694396 * r10694397;
        double r10694399 = r10694393 - r10694398;
        return r10694399;
}
↓
double f(double x, double y, double z) {
        double r10694400 = x;
        double r10694401 = r10694400 * r10694400;
        double r10694402 = y;
        double r10694403 = 4.0;
        double r10694404 = r10694402 * r10694403;
        double r10694405 = z;
        double r10694406 = r10694404 * r10694405;
        double r10694407 = r10694401 - r10694406;
        return r10694407;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

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Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[x \cdot x - \left(y \cdot 4\right) \cdot z\]

  2. Final simplification0.0

    \[\leadsto x \cdot x - \left(y \cdot 4\right) \cdot z\]

Reproduce

herbie shell --seed 2019174 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  (- (* x x) (* (* y 4.0) z)))