Average Error: 0.0 → 0.0
Time: 3.0s
Precision: 64
\[\frac{x \cdot y}{2.0} - \frac{z}{8.0}\]
↓
\[\frac{x \cdot y}{2.0} - \frac{z}{8.0}\]
\frac{x \cdot y}{2.0} - \frac{z}{8.0}
↓
\frac{x \cdot y}{2.0} - \frac{z}{8.0}
double f(double x, double y, double z) {
        double r13925117 = x;
        double r13925118 = y;
        double r13925119 = r13925117 * r13925118;
        double r13925120 = 2.0;
        double r13925121 = r13925119 / r13925120;
        double r13925122 = z;
        double r13925123 = 8.0;
        double r13925124 = r13925122 / r13925123;
        double r13925125 = r13925121 - r13925124;
        return r13925125;
}
↓
double f(double x, double y, double z) {
        double r13925126 = x;
        double r13925127 = y;
        double r13925128 = r13925126 * r13925127;
        double r13925129 = 2.0;
        double r13925130 = r13925128 / r13925129;
        double r13925131 = z;
        double r13925132 = 8.0;
        double r13925133 = r13925131 / r13925132;
        double r13925134 = r13925130 - r13925133;
        return r13925134;
}

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

    \[\frac{x \cdot y}{2.0} - \frac{z}{8.0}\]

  2. Final simplification0.0

    \[\leadsto \frac{x \cdot y}{2.0} - \frac{z}{8.0}\]

Reproduce

herbie shell --seed 2019163 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  (- (/ (* x y) 2.0) (/ z 8.0)))