Average Error: 0.0 → 0.0
Time: 695.0ms
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 r218266 = x;
        double r218267 = y;
        double r218268 = r218266 * r218267;
        double r218269 = 2.0;
        double r218270 = r218268 / r218269;
        double r218271 = z;
        double r218272 = 8.0;
        double r218273 = r218271 / r218272;
        double r218274 = r218270 - r218273;
        return r218274;
}
↓
double f(double x, double y, double z) {
        double r218275 = x;
        double r218276 = y;
        double r218277 = r218275 * r218276;
        double r218278 = 2.0;
        double r218279 = r218277 / r218278;
        double r218280 = z;
        double r218281 = 8.0;
        double r218282 = r218280 / r218281;
        double r218283 = r218279 - r218282;
        return r218283;
}

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 2020057 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))