Average Error: 0.0 → 0.0
Time: 1.8s
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 r278611 = x;
        double r278612 = y;
        double r278613 = r278611 * r278612;
        double r278614 = 2.0;
        double r278615 = r278613 / r278614;
        double r278616 = z;
        double r278617 = 8.0;
        double r278618 = r278616 / r278617;
        double r278619 = r278615 - r278618;
        return r278619;
}
↓
double f(double x, double y, double z) {
        double r278620 = x;
        double r278621 = y;
        double r278622 = r278620 * r278621;
        double r278623 = 2.0;
        double r278624 = r278622 / r278623;
        double r278625 = z;
        double r278626 = 8.0;
        double r278627 = r278625 / r278626;
        double r278628 = r278624 - r278627;
        return r278628;
}

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 2020027 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))