Average Error: 0.0 → 0.0
Time: 3.7s
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 r217111 = x;
        double r217112 = r217111 * r217111;
        double r217113 = y;
        double r217114 = 4.0;
        double r217115 = r217113 * r217114;
        double r217116 = z;
        double r217117 = r217115 * r217116;
        double r217118 = r217112 - r217117;
        return r217118;
}
↓
double f(double x, double y, double z) {
        double r217119 = x;
        double r217120 = r217119 * r217119;
        double r217121 = y;
        double r217122 = 4.0;
        double r217123 = r217121 * r217122;
        double r217124 = z;
        double r217125 = r217123 * r217124;
        double r217126 = r217120 - r217125;
        return r217126;
}

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 2019353 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  :precision binary64
  (- (* x x) (* (* y 4) z)))