Average Error: 0.0 → 0.0
Time: 7.3s
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 r317237 = x;
        double r317238 = y;
        double r317239 = r317237 * r317238;
        double r317240 = 2.0;
        double r317241 = r317239 / r317240;
        double r317242 = z;
        double r317243 = 8.0;
        double r317244 = r317242 / r317243;
        double r317245 = r317241 - r317244;
        return r317245;
}
↓
double f(double x, double y, double z) {
        double r317246 = x;
        double r317247 = y;
        double r317248 = r317246 * r317247;
        double r317249 = 2.0;
        double r317250 = r317248 / r317249;
        double r317251 = z;
        double r317252 = 8.0;
        double r317253 = r317251 / r317252;
        double r317254 = r317250 - r317253;
        return r317254;
}

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 2020035 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))