Average Error: 0.0 → 0.0
Time: 1.6s
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 r223625 = x;
        double r223626 = y;
        double r223627 = r223625 * r223626;
        double r223628 = 2.0;
        double r223629 = r223627 / r223628;
        double r223630 = z;
        double r223631 = 8.0;
        double r223632 = r223630 / r223631;
        double r223633 = r223629 - r223632;
        return r223633;
}
↓
double f(double x, double y, double z) {
        double r223634 = x;
        double r223635 = y;
        double r223636 = r223634 * r223635;
        double r223637 = 2.0;
        double r223638 = r223636 / r223637;
        double r223639 = z;
        double r223640 = 8.0;
        double r223641 = r223639 / r223640;
        double r223642 = r223638 - r223641;
        return r223642;
}

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 2020018 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))