Average Error: 0.0 → 0.0
Time: 2.8s
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 r223903 = x;
        double r223904 = y;
        double r223905 = r223903 * r223904;
        double r223906 = 2.0;
        double r223907 = r223905 / r223906;
        double r223908 = z;
        double r223909 = 8.0;
        double r223910 = r223908 / r223909;
        double r223911 = r223907 - r223910;
        return r223911;
}
↓
double f(double x, double y, double z) {
        double r223912 = x;
        double r223913 = y;
        double r223914 = r223912 * r223913;
        double r223915 = 2.0;
        double r223916 = r223914 / r223915;
        double r223917 = z;
        double r223918 = 8.0;
        double r223919 = r223917 / r223918;
        double r223920 = r223916 - r223919;
        return r223920;
}

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 2019353 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))