Average Error: 0.0 → 0.0
Time: 3.9s
Precision: 64
\[\frac{x \cdot y}{2} - \frac{z}{8}\]
↓
\[\frac{x \cdot y}{2} - \frac{z}{8}\]
\frac{x \cdot y}{2} - \frac{z}{8}
↓
\frac{x \cdot y}{2} - \frac{z}{8}
double f(double x, double y, double z) {
        double r184418 = x;
        double r184419 = y;
        double r184420 = r184418 * r184419;
        double r184421 = 2.0;
        double r184422 = r184420 / r184421;
        double r184423 = z;
        double r184424 = 8.0;
        double r184425 = r184423 / r184424;
        double r184426 = r184422 - r184425;
        return r184426;
}
↓
double f(double x, double y, double z) {
        double r184427 = x;
        double r184428 = y;
        double r184429 = r184427 * r184428;
        double r184430 = 2.0;
        double r184431 = r184429 / r184430;
        double r184432 = z;
        double r184433 = 8.0;
        double r184434 = r184432 / r184433;
        double r184435 = r184431 - r184434;
        return r184435;
}

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

    \[\frac{x \cdot y}{2} - \frac{z}{8}\]

  2. Final simplification0.0

    \[\leadsto \frac{x \cdot y}{2} - \frac{z}{8}\]

Reproduce

herbie shell --seed 2019326 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))