Average Error: 0.1 → 0.1
Time: 1.8s
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 r8364572 = x;
        double r8364573 = r8364572 * r8364572;
        double r8364574 = y;
        double r8364575 = 4.0;
        double r8364576 = r8364574 * r8364575;
        double r8364577 = z;
        double r8364578 = r8364576 * r8364577;
        double r8364579 = r8364573 - r8364578;
        return r8364579;
}
↓
double f(double x, double y, double z) {
        double r8364580 = x;
        double r8364581 = r8364580 * r8364580;
        double r8364582 = y;
        double r8364583 = 4.0;
        double r8364584 = r8364582 * r8364583;
        double r8364585 = z;
        double r8364586 = r8364584 * r8364585;
        double r8364587 = r8364581 - r8364586;
        return r8364587;
}

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 2019170 +o rules:numerics
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  (- (* x x) (* (* y 4.0) z)))