Average Error: 0.0 → 0.0
Time: 3.1s
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 r178988 = x;
        double r178989 = r178988 * r178988;
        double r178990 = y;
        double r178991 = 4.0;
        double r178992 = r178990 * r178991;
        double r178993 = z;
        double r178994 = r178992 * r178993;
        double r178995 = r178989 - r178994;
        return r178995;
}
↓
double f(double x, double y, double z) {
        double r178996 = x;
        double r178997 = r178996 * r178996;
        double r178998 = y;
        double r178999 = 4.0;
        double r179000 = r178998 * r178999;
        double r179001 = z;
        double r179002 = r179000 * r179001;
        double r179003 = r178997 - r179002;
        return r179003;
}

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 2020047 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  :precision binary64
  (- (* x x) (* (* y 4) z)))