Average Error: 0.0 → 0.0
Time: 4.6s
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 r158646 = x;
        double r158647 = y;
        double r158648 = r158646 * r158647;
        double r158649 = 2.0;
        double r158650 = r158648 / r158649;
        double r158651 = z;
        double r158652 = 8.0;
        double r158653 = r158651 / r158652;
        double r158654 = r158650 - r158653;
        return r158654;
}
↓
double f(double x, double y, double z) {
        double r158655 = x;
        double r158656 = y;
        double r158657 = r158655 * r158656;
        double r158658 = 2.0;
        double r158659 = r158657 / r158658;
        double r158660 = z;
        double r158661 = 8.0;
        double r158662 = r158660 / r158661;
        double r158663 = r158659 - r158662;
        return r158663;
}

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 2019291 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))