Average Error: 0.0 → 0.0
Time: 7.4s
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 r7886736 = x;
        double r7886737 = r7886736 * r7886736;
        double r7886738 = y;
        double r7886739 = 4.0;
        double r7886740 = r7886738 * r7886739;
        double r7886741 = z;
        double r7886742 = r7886740 * r7886741;
        double r7886743 = r7886737 - r7886742;
        return r7886743;
}
↓
double f(double x, double y, double z) {
        double r7886744 = x;
        double r7886745 = r7886744 * r7886744;
        double r7886746 = y;
        double r7886747 = 4.0;
        double r7886748 = r7886746 * r7886747;
        double r7886749 = z;
        double r7886750 = r7886748 * r7886749;
        double r7886751 = r7886745 - r7886750;
        return r7886751;
}

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 0.0

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

  2. Final simplification0.0

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

Reproduce

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