Average Error: 0.1 → 0.1
Time: 6.1s
Precision: 64
\[x \cdot x - \left(y \cdot 4.0\right) \cdot z\]
↓
\[x \cdot x - \left(y \cdot 4.0\right) \cdot z\]
x \cdot x - \left(y \cdot 4.0\right) \cdot z
↓
x \cdot x - \left(y \cdot 4.0\right) \cdot z
double f(double x, double y, double z) {
        double r7569270 = x;
        double r7569271 = r7569270 * r7569270;
        double r7569272 = y;
        double r7569273 = 4.0;
        double r7569274 = r7569272 * r7569273;
        double r7569275 = z;
        double r7569276 = r7569274 * r7569275;
        double r7569277 = r7569271 - r7569276;
        return r7569277;
}
↓
double f(double x, double y, double z) {
        double r7569278 = x;
        double r7569279 = r7569278 * r7569278;
        double r7569280 = y;
        double r7569281 = 4.0;
        double r7569282 = r7569280 * r7569281;
        double r7569283 = z;
        double r7569284 = r7569282 * r7569283;
        double r7569285 = r7569279 - r7569284;
        return r7569285;
}

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

    \[x \cdot x - \left(y \cdot 4.0\right) \cdot z\]

  2. Final simplification0.1

    \[\leadsto x \cdot x - \left(y \cdot 4.0\right) \cdot z\]

Reproduce

herbie shell --seed 2019164 +o rules:numerics
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  (- (* x x) (* (* y 4.0) z)))