Average Error: 0.0 → 0.0
Time: 4.0s
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 r165929 = x;
        double r165930 = y;
        double r165931 = r165929 * r165930;
        double r165932 = 2.0;
        double r165933 = r165931 / r165932;
        double r165934 = z;
        double r165935 = 8.0;
        double r165936 = r165934 / r165935;
        double r165937 = r165933 - r165936;
        return r165937;
}
↓
double f(double x, double y, double z) {
        double r165938 = x;
        double r165939 = y;
        double r165940 = r165938 * r165939;
        double r165941 = 2.0;
        double r165942 = r165940 / r165941;
        double r165943 = z;
        double r165944 = 8.0;
        double r165945 = r165943 / r165944;
        double r165946 = r165942 - r165945;
        return r165946;
}

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 2019326 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))