Average Error: 0.0 → 0.0
Time: 4.2s
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 r6543274 = x;
        double r6543275 = r6543274 * r6543274;
        double r6543276 = y;
        double r6543277 = 4.0;
        double r6543278 = r6543276 * r6543277;
        double r6543279 = z;
        double r6543280 = r6543278 * r6543279;
        double r6543281 = r6543275 - r6543280;
        return r6543281;
}
↓
double f(double x, double y, double z) {
        double r6543282 = x;
        double r6543283 = r6543282 * r6543282;
        double r6543284 = y;
        double r6543285 = 4.0;
        double r6543286 = r6543284 * r6543285;
        double r6543287 = z;
        double r6543288 = r6543286 * r6543287;
        double r6543289 = r6543283 - r6543288;
        return r6543289;
}

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 2019172 +o rules:numerics
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  (- (* x x) (* (* y 4.0) z)))