Average Error: 0.0 → 0.0
Time: 20.9s
Precision: 64
\[x \cdot x - \left(y \cdot 4\right) \cdot z\]
↓
\[x \cdot x - z \cdot \left(y \cdot 4\right)\]
x \cdot x - \left(y \cdot 4\right) \cdot z
↓
x \cdot x - z \cdot \left(y \cdot 4\right)
double f(double x, double y, double z) {
        double r7474979 = x;
        double r7474980 = r7474979 * r7474979;
        double r7474981 = y;
        double r7474982 = 4.0;
        double r7474983 = r7474981 * r7474982;
        double r7474984 = z;
        double r7474985 = r7474983 * r7474984;
        double r7474986 = r7474980 - r7474985;
        return r7474986;
}
↓
double f(double x, double y, double z) {
        double r7474987 = x;
        double r7474988 = r7474987 * r7474987;
        double r7474989 = z;
        double r7474990 = y;
        double r7474991 = 4.0;
        double r7474992 = r7474990 * r7474991;
        double r7474993 = r7474989 * r7474992;
        double r7474994 = r7474988 - r7474993;
        return r7474994;
}

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

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

Reproduce

herbie shell --seed 2019200 +o rules:numerics
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  (- (* x x) (* (* y 4.0) z)))