Average Error: 0.0 → 0.0
Time: 4.7s
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 r6505505 = x;
        double r6505506 = r6505505 * r6505505;
        double r6505507 = y;
        double r6505508 = 4.0;
        double r6505509 = r6505507 * r6505508;
        double r6505510 = z;
        double r6505511 = r6505509 * r6505510;
        double r6505512 = r6505506 - r6505511;
        return r6505512;
}
↓
double f(double x, double y, double z) {
        double r6505513 = x;
        double r6505514 = r6505513 * r6505513;
        double r6505515 = y;
        double r6505516 = 4.0;
        double r6505517 = r6505515 * r6505516;
        double r6505518 = z;
        double r6505519 = r6505517 * r6505518;
        double r6505520 = r6505514 - r6505519;
        return r6505520;
}

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 2019179 +o rules:numerics
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  (- (* x x) (* (* y 4.0) z)))