Average Error: 0.0 → 0.0
Time: 1.8s
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 r265314 = x;
        double r265315 = y;
        double r265316 = r265314 * r265315;
        double r265317 = 2.0;
        double r265318 = r265316 / r265317;
        double r265319 = z;
        double r265320 = 8.0;
        double r265321 = r265319 / r265320;
        double r265322 = r265318 - r265321;
        return r265322;
}
↓
double f(double x, double y, double z) {
        double r265323 = x;
        double r265324 = y;
        double r265325 = r265323 * r265324;
        double r265326 = 2.0;
        double r265327 = r265325 / r265326;
        double r265328 = z;
        double r265329 = 8.0;
        double r265330 = r265328 / r265329;
        double r265331 = r265327 - r265330;
        return r265331;
}

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 2020003 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))