Average Error: 0.0 → 0.0
Time: 1.0s
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 r110107 = x;
        double r110108 = y;
        double r110109 = r110107 * r110108;
        double r110110 = 2.0;
        double r110111 = r110109 / r110110;
        double r110112 = z;
        double r110113 = 8.0;
        double r110114 = r110112 / r110113;
        double r110115 = r110111 - r110114;
        return r110115;
}
↓
double f(double x, double y, double z) {
        double r110116 = x;
        double r110117 = y;
        double r110118 = r110116 * r110117;
        double r110119 = 2.0;
        double r110120 = r110118 / r110119;
        double r110121 = z;
        double r110122 = 8.0;
        double r110123 = r110121 / r110122;
        double r110124 = r110120 - r110123;
        return r110124;
}

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 1978988140 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))