Average Error: 0.0 → 0.0
Time: 3.8s
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 r144033 = x;
        double r144034 = y;
        double r144035 = r144033 * r144034;
        double r144036 = 2.0;
        double r144037 = r144035 / r144036;
        double r144038 = z;
        double r144039 = 8.0;
        double r144040 = r144038 / r144039;
        double r144041 = r144037 - r144040;
        return r144041;
}
↓
double f(double x, double y, double z) {
        double r144042 = x;
        double r144043 = y;
        double r144044 = r144042 * r144043;
        double r144045 = 2.0;
        double r144046 = r144044 / r144045;
        double r144047 = z;
        double r144048 = 8.0;
        double r144049 = r144047 / r144048;
        double r144050 = r144046 - r144049;
        return r144050;
}

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 2019323 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))