Average Error: 0.0 → 0.0
Time: 2.8s
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 r157299 = x;
        double r157300 = r157299 * r157299;
        double r157301 = y;
        double r157302 = 4.0;
        double r157303 = r157301 * r157302;
        double r157304 = z;
        double r157305 = r157303 * r157304;
        double r157306 = r157300 - r157305;
        return r157306;
}
↓
double f(double x, double y, double z) {
        double r157307 = x;
        double r157308 = r157307 * r157307;
        double r157309 = y;
        double r157310 = 4.0;
        double r157311 = r157309 * r157310;
        double r157312 = z;
        double r157313 = r157311 * r157312;
        double r157314 = r157308 - r157313;
        return r157314;
}

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 2019351 +o rules:numerics
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  :precision binary64
  (- (* x x) (* (* y 4) z)))