Average Error: 0.0 → 0.0
Time: 1.4s
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 r257314 = x;
        double r257315 = y;
        double r257316 = r257314 * r257315;
        double r257317 = 2.0;
        double r257318 = r257316 / r257317;
        double r257319 = z;
        double r257320 = 8.0;
        double r257321 = r257319 / r257320;
        double r257322 = r257318 - r257321;
        return r257322;
}
↓
double f(double x, double y, double z) {
        double r257323 = x;
        double r257324 = y;
        double r257325 = r257323 * r257324;
        double r257326 = 2.0;
        double r257327 = r257325 / r257326;
        double r257328 = z;
        double r257329 = 8.0;
        double r257330 = r257328 / r257329;
        double r257331 = r257327 - r257330;
        return r257331;
}

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 2020021 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))