Average Error: 0.0 → 0.0
Time: 1.3s
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 r123638 = x;
        double r123639 = r123638 * r123638;
        double r123640 = y;
        double r123641 = 4.0;
        double r123642 = r123640 * r123641;
        double r123643 = z;
        double r123644 = r123642 * r123643;
        double r123645 = r123639 - r123644;
        return r123645;
}
↓
double f(double x, double y, double z) {
        double r123646 = x;
        double r123647 = r123646 * r123646;
        double r123648 = y;
        double r123649 = 4.0;
        double r123650 = r123648 * r123649;
        double r123651 = z;
        double r123652 = r123650 * r123651;
        double r123653 = r123647 - r123652;
        return r123653;
}

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 2020024 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  :precision binary64
  (- (* x x) (* (* y 4) z)))