Average Error: 0.1 → 0.1
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 r230326 = x;
        double r230327 = y;
        double r230328 = r230326 * r230327;
        double r230329 = 2.0;
        double r230330 = r230328 / r230329;
        double r230331 = z;
        double r230332 = 8.0;
        double r230333 = r230331 / r230332;
        double r230334 = r230330 - r230333;
        return r230334;
}
↓
double f(double x, double y, double z) {
        double r230335 = x;
        double r230336 = y;
        double r230337 = r230335 * r230336;
        double r230338 = 2.0;
        double r230339 = r230337 / r230338;
        double r230340 = z;
        double r230341 = 8.0;
        double r230342 = r230340 / r230341;
        double r230343 = r230339 - r230342;
        return r230343;
}

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 0.1

    \[\frac{x \cdot y}{2} - \frac{z}{8}\]

  2. Final simplification0.1

    \[\leadsto \frac{x \cdot y}{2} - \frac{z}{8}\]

Reproduce

herbie shell --seed 2020036 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))