Average Error: 0.1 → 0.1
Time: 2.5s
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 r174418 = x;
        double r174419 = r174418 * r174418;
        double r174420 = y;
        double r174421 = 4.0;
        double r174422 = r174420 * r174421;
        double r174423 = z;
        double r174424 = r174422 * r174423;
        double r174425 = r174419 - r174424;
        return r174425;
}
↓
double f(double x, double y, double z) {
        double r174426 = x;
        double r174427 = r174426 * r174426;
        double r174428 = y;
        double r174429 = 4.0;
        double r174430 = r174428 * r174429;
        double r174431 = z;
        double r174432 = r174430 * r174431;
        double r174433 = r174427 - r174432;
        return r174433;
}

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 2020036 +o rules:numerics
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  :precision binary64
  (- (* x x) (* (* y 4) z)))