Average Error: 0.0 → 0.0
Time: 1.1s
Precision: 64
\[x \cdot x - \left(y \cdot 4\right) \cdot z\]
↓
\[x \cdot x - y \cdot \left(4 \cdot z\right)\]
x \cdot x - \left(y \cdot 4\right) \cdot z
↓
x \cdot x - y \cdot \left(4 \cdot z\right)
double f(double x, double y, double z) {
        double r138526 = x;
        double r138527 = r138526 * r138526;
        double r138528 = y;
        double r138529 = 4.0;
        double r138530 = r138528 * r138529;
        double r138531 = z;
        double r138532 = r138530 * r138531;
        double r138533 = r138527 - r138532;
        return r138533;
}
↓
double f(double x, double y, double z) {
        double r138534 = x;
        double r138535 = r138534 * r138534;
        double r138536 = y;
        double r138537 = 4.0;
        double r138538 = z;
        double r138539 = r138537 * r138538;
        double r138540 = r138536 * r138539;
        double r138541 = r138535 - r138540;
        return r138541;
}

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. Using strategy rm

  3. Applied associate-*l*0.0

    \[\leadsto x \cdot x - \color{blue}{y \cdot \left(4 \cdot z\right)}\]

  4. Final simplification0.0

    \[\leadsto x \cdot x - y \cdot \left(4 \cdot z\right)\]

Reproduce

herbie shell --seed 2020034 
(FPCore (x y z)
  :name "Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1"
  :precision binary64
  (- (* x x) (* (* y 4) z)))