Average Error: 0.0 → 0.0
Time: 5.4s
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 r138159 = x;
        double r138160 = y;
        double r138161 = r138159 * r138160;
        double r138162 = 2.0;
        double r138163 = r138161 / r138162;
        double r138164 = z;
        double r138165 = 8.0;
        double r138166 = r138164 / r138165;
        double r138167 = r138163 - r138166;
        return r138167;
}
↓
double f(double x, double y, double z) {
        double r138168 = x;
        double r138169 = y;
        double r138170 = r138168 * r138169;
        double r138171 = 2.0;
        double r138172 = r138170 / r138171;
        double r138173 = z;
        double r138174 = 8.0;
        double r138175 = r138173 / r138174;
        double r138176 = r138172 - r138175;
        return r138176;
}

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 2019298 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))