Average Error: 0.0 → 0.0
Time: 1.5s
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 r123252 = x;
        double r123253 = y;
        double r123254 = r123252 * r123253;
        double r123255 = 2.0;
        double r123256 = r123254 / r123255;
        double r123257 = z;
        double r123258 = 8.0;
        double r123259 = r123257 / r123258;
        double r123260 = r123256 - r123259;
        return r123260;
}
↓
double f(double x, double y, double z) {
        double r123261 = x;
        double r123262 = y;
        double r123263 = r123261 * r123262;
        double r123264 = 2.0;
        double r123265 = r123263 / r123264;
        double r123266 = z;
        double r123267 = 8.0;
        double r123268 = r123266 / r123267;
        double r123269 = r123265 - r123268;
        return r123269;
}

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 2019199 +o rules:numerics
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  (- (/ (* x y) 2.0) (/ z 8.0)))