Average Error: 0.0 → 0.0
Time: 7.6s
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 r10432051 = x;
        double r10432052 = r10432051 * r10432051;
        double r10432053 = y;
        double r10432054 = 4.0;
        double r10432055 = r10432053 * r10432054;
        double r10432056 = z;
        double r10432057 = r10432055 * r10432056;
        double r10432058 = r10432052 - r10432057;
        return r10432058;
}
↓
double f(double x, double y, double z) {
        double r10432059 = x;
        double r10432060 = r10432059 * r10432059;
        double r10432061 = y;
        double r10432062 = 4.0;
        double r10432063 = r10432061 * r10432062;
        double r10432064 = z;
        double r10432065 = r10432063 * r10432064;
        double r10432066 = r10432060 - r10432065;
        return r10432066;
}

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)))