Average Error: 0.0 → 0.0
Time: 522.0ms
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 r268243 = x;
        double r268244 = y;
        double r268245 = r268243 * r268244;
        double r268246 = 2.0;
        double r268247 = r268245 / r268246;
        double r268248 = z;
        double r268249 = 8.0;
        double r268250 = r268248 / r268249;
        double r268251 = r268247 - r268250;
        return r268251;
}
↓
double f(double x, double y, double z) {
        double r268252 = x;
        double r268253 = y;
        double r268254 = r268252 * r268253;
        double r268255 = 2.0;
        double r268256 = r268254 / r268255;
        double r268257 = z;
        double r268258 = 8.0;
        double r268259 = r268257 / r268258;
        double r268260 = r268256 - r268259;
        return r268260;
}

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 2020024 +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)))