Average Error: 0.0 → 0.0
Time: 6.0s
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 r284622 = x;
        double r284623 = y;
        double r284624 = r284622 * r284623;
        double r284625 = 2.0;
        double r284626 = r284624 / r284625;
        double r284627 = z;
        double r284628 = 8.0;
        double r284629 = r284627 / r284628;
        double r284630 = r284626 - r284629;
        return r284630;
}
↓
double f(double x, double y, double z) {
        double r284631 = x;
        double r284632 = y;
        double r284633 = r284631 * r284632;
        double r284634 = 2.0;
        double r284635 = r284633 / r284634;
        double r284636 = z;
        double r284637 = 8.0;
        double r284638 = r284636 / r284637;
        double r284639 = r284635 - r284638;
        return r284639;
}

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 2020046 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))