Average Error: 0.1 → 0.1
Time: 785.0ms
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 r254673 = x;
        double r254674 = r254673 * r254673;
        double r254675 = y;
        double r254676 = 4.0;
        double r254677 = r254675 * r254676;
        double r254678 = z;
        double r254679 = r254677 * r254678;
        double r254680 = r254674 - r254679;
        return r254680;
}
↓
double f(double x, double y, double z) {
        double r254681 = x;
        double r254682 = r254681 * r254681;
        double r254683 = y;
        double r254684 = 4.0;
        double r254685 = r254683 * r254684;
        double r254686 = z;
        double r254687 = r254685 * r254686;
        double r254688 = r254682 - r254687;
        return r254688;
}

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 0.1

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

  2. Final simplification0.1

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

Reproduce

herbie shell --seed 2020065 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  :precision binary64
  (- (* x x) (* (* y 4) z)))