Average Error: 0.0 → 0.0
Time: 2.4s
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 r221738 = x;
        double r221739 = y;
        double r221740 = r221738 * r221739;
        double r221741 = 2.0;
        double r221742 = r221740 / r221741;
        double r221743 = z;
        double r221744 = 8.0;
        double r221745 = r221743 / r221744;
        double r221746 = r221742 - r221745;
        return r221746;
}
↓
double f(double x, double y, double z) {
        double r221747 = x;
        double r221748 = y;
        double r221749 = r221747 * r221748;
        double r221750 = 2.0;
        double r221751 = r221749 / r221750;
        double r221752 = z;
        double r221753 = 8.0;
        double r221754 = r221752 / r221753;
        double r221755 = r221751 - r221754;
        return r221755;
}

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 2020083 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))