Average Error: 0.0 → 0.0
Time: 4.4s
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 r4801405 = x;
        double r4801406 = r4801405 * r4801405;
        double r4801407 = y;
        double r4801408 = 4.0;
        double r4801409 = r4801407 * r4801408;
        double r4801410 = z;
        double r4801411 = r4801409 * r4801410;
        double r4801412 = r4801406 - r4801411;
        return r4801412;
}
↓
double f(double x, double y, double z) {
        double r4801413 = x;
        double r4801414 = r4801413 * r4801413;
        double r4801415 = y;
        double r4801416 = 4.0;
        double r4801417 = r4801415 * r4801416;
        double r4801418 = z;
        double r4801419 = r4801417 * r4801418;
        double r4801420 = r4801414 - r4801419;
        return r4801420;
}

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)))