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 r173549 = x;
        double r173550 = r173549 * r173549;
        double r173551 = y;
        double r173552 = 4.0;
        double r173553 = r173551 * r173552;
        double r173554 = z;
        double r173555 = r173553 * r173554;
        double r173556 = r173550 - r173555;
        return r173556;
}
↓
double f(double x, double y, double z) {
        double r173557 = x;
        double r173558 = r173557 * r173557;
        double r173559 = y;
        double r173560 = 4.0;
        double r173561 = r173559 * r173560;
        double r173562 = z;
        double r173563 = r173561 * r173562;
        double r173564 = r173558 - r173563;
        return r173564;
}

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 2019303 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  :precision binary64
  (- (* x x) (* (* y 4) z)))