Average Error: 0.1 → 0.1
Time: 12.8s
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 r163202 = x;
        double r163203 = r163202 * r163202;
        double r163204 = y;
        double r163205 = 4.0;
        double r163206 = r163204 * r163205;
        double r163207 = z;
        double r163208 = r163206 * r163207;
        double r163209 = r163203 - r163208;
        return r163209;
}
↓
double f(double x, double y, double z) {
        double r163210 = x;
        double r163211 = r163210 * r163210;
        double r163212 = y;
        double r163213 = 4.0;
        double r163214 = r163212 * r163213;
        double r163215 = z;
        double r163216 = r163214 * r163215;
        double r163217 = r163211 - r163216;
        return r163217;
}

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 2019198 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  (- (* x x) (* (* y 4.0) z)))