Average Error: 0.0 → 0.0
Time: 506.0ms
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 r175022 = x;
        double r175023 = y;
        double r175024 = r175022 * r175023;
        double r175025 = 2.0;
        double r175026 = r175024 / r175025;
        double r175027 = z;
        double r175028 = 8.0;
        double r175029 = r175027 / r175028;
        double r175030 = r175026 - r175029;
        return r175030;
}
↓
double f(double x, double y, double z) {
        double r175031 = x;
        double r175032 = y;
        double r175033 = r175031 * r175032;
        double r175034 = 2.0;
        double r175035 = r175033 / r175034;
        double r175036 = z;
        double r175037 = 8.0;
        double r175038 = r175036 / r175037;
        double r175039 = r175035 - r175038;
        return r175039;
}

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 2020047 +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)))