Average Error: 0.0 → 0.0
Time: 524.0ms
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 r253021 = x;
        double r253022 = y;
        double r253023 = r253021 * r253022;
        double r253024 = 2.0;
        double r253025 = r253023 / r253024;
        double r253026 = z;
        double r253027 = 8.0;
        double r253028 = r253026 / r253027;
        double r253029 = r253025 - r253028;
        return r253029;
}
↓
double f(double x, double y, double z) {
        double r253030 = x;
        double r253031 = y;
        double r253032 = r253030 * r253031;
        double r253033 = 2.0;
        double r253034 = r253032 / r253033;
        double r253035 = z;
        double r253036 = 8.0;
        double r253037 = r253035 / r253036;
        double r253038 = r253034 - r253037;
        return r253038;
}

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