Average Error: 0.1 → 0.1
Time: 2.2s
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 r186215 = x;
        double r186216 = r186215 * r186215;
        double r186217 = y;
        double r186218 = 4.0;
        double r186219 = r186217 * r186218;
        double r186220 = z;
        double r186221 = r186219 * r186220;
        double r186222 = r186216 - r186221;
        return r186222;
}
↓
double f(double x, double y, double z) {
        double r186223 = x;
        double r186224 = r186223 * r186223;
        double r186225 = y;
        double r186226 = 4.0;
        double r186227 = r186225 * r186226;
        double r186228 = z;
        double r186229 = r186227 * r186228;
        double r186230 = r186224 - r186229;
        return r186230;
}

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 2020001 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  :precision binary64
  (- (* x x) (* (* y 4) z)))