Average Error: 0.0 → 0.0
Time: 3.7s
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 r1036 = x;
        double r1037 = y;
        double r1038 = r1036 * r1037;
        double r1039 = 2.0;
        double r1040 = r1038 / r1039;
        double r1041 = z;
        double r1042 = 8.0;
        double r1043 = r1041 / r1042;
        double r1044 = r1040 - r1043;
        return r1044;
}
↓
double f(double x, double y, double z) {
        double r1045 = x;
        double r1046 = y;
        double r1047 = r1045 * r1046;
        double r1048 = 2.0;
        double r1049 = r1047 / r1048;
        double r1050 = z;
        double r1051 = 8.0;
        double r1052 = r1050 / r1051;
        double r1053 = r1049 - r1052;
        return r1053;
}

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 2020025 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))