Average Error: 0.0 → 0.0
Time: 5.1s
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 r111726 = x;
        double r111727 = y;
        double r111728 = r111726 * r111727;
        double r111729 = 2.0;
        double r111730 = r111728 / r111729;
        double r111731 = z;
        double r111732 = 8.0;
        double r111733 = r111731 / r111732;
        double r111734 = r111730 - r111733;
        return r111734;
}
↓
double f(double x, double y, double z) {
        double r111735 = x;
        double r111736 = y;
        double r111737 = r111735 * r111736;
        double r111738 = 2.0;
        double r111739 = r111737 / r111738;
        double r111740 = z;
        double r111741 = 8.0;
        double r111742 = r111740 / r111741;
        double r111743 = r111739 - r111742;
        return r111743;
}

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 2019325 +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)))