Average Error: 0.0 → 0.0
Time: 538.0ms
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 r223892 = x;
        double r223893 = y;
        double r223894 = r223892 * r223893;
        double r223895 = 2.0;
        double r223896 = r223894 / r223895;
        double r223897 = z;
        double r223898 = 8.0;
        double r223899 = r223897 / r223898;
        double r223900 = r223896 - r223899;
        return r223900;
}
↓
double f(double x, double y, double z) {
        double r223901 = x;
        double r223902 = y;
        double r223903 = r223901 * r223902;
        double r223904 = 2.0;
        double r223905 = r223903 / r223904;
        double r223906 = z;
        double r223907 = 8.0;
        double r223908 = r223906 / r223907;
        double r223909 = r223905 - r223908;
        return r223909;
}

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 2020045 +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)))