Average Error: 0.0 → 0.0
Time: 1.8s
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 r7586164 = x;
        double r7586165 = r7586164 * r7586164;
        double r7586166 = y;
        double r7586167 = 4.0;
        double r7586168 = r7586166 * r7586167;
        double r7586169 = z;
        double r7586170 = r7586168 * r7586169;
        double r7586171 = r7586165 - r7586170;
        return r7586171;
}
↓
double f(double x, double y, double z) {
        double r7586172 = x;
        double r7586173 = r7586172 * r7586172;
        double r7586174 = y;
        double r7586175 = 4.0;
        double r7586176 = r7586174 * r7586175;
        double r7586177 = z;
        double r7586178 = r7586176 * r7586177;
        double r7586179 = r7586173 - r7586178;
        return r7586179;
}

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

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2019163 +o rules:numerics
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  (- (* x x) (* (* y 4.0) z)))