Average Error: 0.0 → 0.0
Time: 1.8s
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 r121791 = x;
        double r121792 = y;
        double r121793 = r121791 * r121792;
        double r121794 = 2.0;
        double r121795 = r121793 / r121794;
        double r121796 = z;
        double r121797 = 8.0;
        double r121798 = r121796 / r121797;
        double r121799 = r121795 - r121798;
        return r121799;
}
↓
double f(double x, double y, double z) {
        double r121800 = x;
        double r121801 = y;
        double r121802 = r121800 * r121801;
        double r121803 = 2.0;
        double r121804 = r121802 / r121803;
        double r121805 = z;
        double r121806 = 8.0;
        double r121807 = r121805 / r121806;
        double r121808 = r121804 - r121807;
        return r121808;
}

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 2019212 +o rules:numerics
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))