Average Error: 0.1 → 0.1
Time: 13.6s
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 r6835658 = x;
        double r6835659 = r6835658 * r6835658;
        double r6835660 = y;
        double r6835661 = 4.0;
        double r6835662 = r6835660 * r6835661;
        double r6835663 = z;
        double r6835664 = r6835662 * r6835663;
        double r6835665 = r6835659 - r6835664;
        return r6835665;
}
↓
double f(double x, double y, double z) {
        double r6835666 = x;
        double r6835667 = r6835666 * r6835666;
        double r6835668 = y;
        double r6835669 = 4.0;
        double r6835670 = r6835668 * r6835669;
        double r6835671 = z;
        double r6835672 = r6835670 * r6835671;
        double r6835673 = r6835667 - r6835672;
        return r6835673;
}

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 2019192 +o rules:numerics
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  (- (* x x) (* (* y 4.0) z)))