Average Error: 0.0 → 0.0
Time: 5.0s
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 r192286 = x;
        double r192287 = y;
        double r192288 = r192286 * r192287;
        double r192289 = 2.0;
        double r192290 = r192288 / r192289;
        double r192291 = z;
        double r192292 = 8.0;
        double r192293 = r192291 / r192292;
        double r192294 = r192290 - r192293;
        return r192294;
}
↓
double f(double x, double y, double z) {
        double r192295 = x;
        double r192296 = y;
        double r192297 = r192295 * r192296;
        double r192298 = 2.0;
        double r192299 = r192297 / r192298;
        double r192300 = z;
        double r192301 = 8.0;
        double r192302 = r192300 / r192301;
        double r192303 = r192299 - r192302;
        return r192303;
}

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 2019294 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))