Average Error: 0.0 → 0.0
Time: 2.9s
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 r210580 = x;
        double r210581 = y;
        double r210582 = r210580 * r210581;
        double r210583 = 2.0;
        double r210584 = r210582 / r210583;
        double r210585 = z;
        double r210586 = 8.0;
        double r210587 = r210585 / r210586;
        double r210588 = r210584 - r210587;
        return r210588;
}
↓
double f(double x, double y, double z) {
        double r210589 = x;
        double r210590 = y;
        double r210591 = r210589 * r210590;
        double r210592 = 2.0;
        double r210593 = r210591 / r210592;
        double r210594 = z;
        double r210595 = 8.0;
        double r210596 = r210594 / r210595;
        double r210597 = r210593 - r210596;
        return r210597;
}

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 2020060 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))