Average Error: 0.0 → 0.0
Time: 8.6s
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 r170172 = x;
        double r170173 = y;
        double r170174 = r170172 * r170173;
        double r170175 = 2.0;
        double r170176 = r170174 / r170175;
        double r170177 = z;
        double r170178 = 8.0;
        double r170179 = r170177 / r170178;
        double r170180 = r170176 - r170179;
        return r170180;
}
↓
double f(double x, double y, double z) {
        double r170181 = x;
        double r170182 = y;
        double r170183 = r170181 * r170182;
        double r170184 = 2.0;
        double r170185 = r170183 / r170184;
        double r170186 = z;
        double r170187 = 8.0;
        double r170188 = r170186 / r170187;
        double r170189 = r170185 - r170188;
        return r170189;
}

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 2019194 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  (- (/ (* x y) 2.0) (/ z 8.0)))