Average Error: 0.0 → 0.0
Time: 1.2s
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 r272422 = x;
        double r272423 = y;
        double r272424 = r272422 * r272423;
        double r272425 = 2.0;
        double r272426 = r272424 / r272425;
        double r272427 = z;
        double r272428 = 8.0;
        double r272429 = r272427 / r272428;
        double r272430 = r272426 - r272429;
        return r272430;
}
↓
double f(double x, double y, double z) {
        double r272431 = x;
        double r272432 = y;
        double r272433 = r272431 * r272432;
        double r272434 = 2.0;
        double r272435 = r272433 / r272434;
        double r272436 = z;
        double r272437 = 8.0;
        double r272438 = r272436 / r272437;
        double r272439 = r272435 - r272438;
        return r272439;
}

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 2020062 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))