Average Error: 0.0 → 0.0
Time: 3.4s
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 r304092 = x;
        double r304093 = y;
        double r304094 = r304092 * r304093;
        double r304095 = 2.0;
        double r304096 = r304094 / r304095;
        double r304097 = z;
        double r304098 = 8.0;
        double r304099 = r304097 / r304098;
        double r304100 = r304096 - r304099;
        return r304100;
}
↓
double f(double x, double y, double z) {
        double r304101 = x;
        double r304102 = y;
        double r304103 = r304101 * r304102;
        double r304104 = 2.0;
        double r304105 = r304103 / r304104;
        double r304106 = z;
        double r304107 = 8.0;
        double r304108 = r304106 / r304107;
        double r304109 = r304105 - r304108;
        return r304109;
}

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 2020046 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))