Average Error: 0.0 → 0.0
Time: 1.3s
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 r227848 = x;
        double r227849 = y;
        double r227850 = r227848 * r227849;
        double r227851 = 2.0;
        double r227852 = r227850 / r227851;
        double r227853 = z;
        double r227854 = 8.0;
        double r227855 = r227853 / r227854;
        double r227856 = r227852 - r227855;
        return r227856;
}
↓
double f(double x, double y, double z) {
        double r227857 = x;
        double r227858 = y;
        double r227859 = r227857 * r227858;
        double r227860 = 2.0;
        double r227861 = r227859 / r227860;
        double r227862 = z;
        double r227863 = 8.0;
        double r227864 = r227862 / r227863;
        double r227865 = r227861 - r227864;
        return r227865;
}

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 2020049 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))