Average Error: 0.0 → 0.0
Time: 3.6s
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 r17971 = x;
        double r17972 = y;
        double r17973 = r17971 * r17972;
        double r17974 = 2.0;
        double r17975 = r17973 / r17974;
        double r17976 = z;
        double r17977 = 8.0;
        double r17978 = r17976 / r17977;
        double r17979 = r17975 - r17978;
        return r17979;
}
↓
double f(double x, double y, double z) {
        double r17980 = x;
        double r17981 = y;
        double r17982 = r17980 * r17981;
        double r17983 = 2.0;
        double r17984 = r17982 / r17983;
        double r17985 = z;
        double r17986 = 8.0;
        double r17987 = r17985 / r17986;
        double r17988 = r17984 - r17987;
        return r17988;
}

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 2019310 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))