Average Error: 0.0 → 0.0
Time: 489.0ms
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 r185041 = x;
        double r185042 = y;
        double r185043 = r185041 * r185042;
        double r185044 = 2.0;
        double r185045 = r185043 / r185044;
        double r185046 = z;
        double r185047 = 8.0;
        double r185048 = r185046 / r185047;
        double r185049 = r185045 - r185048;
        return r185049;
}
↓
double f(double x, double y, double z) {
        double r185050 = x;
        double r185051 = y;
        double r185052 = r185050 * r185051;
        double r185053 = 2.0;
        double r185054 = r185052 / r185053;
        double r185055 = z;
        double r185056 = 8.0;
        double r185057 = r185055 / r185056;
        double r185058 = r185054 - r185057;
        return r185058;
}

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 2020045 +o rules:numerics
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))