Average Error: 0.0 → 0.0
Time: 9.5s
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 r181658 = x;
        double r181659 = y;
        double r181660 = r181658 * r181659;
        double r181661 = 2.0;
        double r181662 = r181660 / r181661;
        double r181663 = z;
        double r181664 = 8.0;
        double r181665 = r181663 / r181664;
        double r181666 = r181662 - r181665;
        return r181666;
}
↓
double f(double x, double y, double z) {
        double r181667 = x;
        double r181668 = y;
        double r181669 = r181667 * r181668;
        double r181670 = 2.0;
        double r181671 = r181669 / r181670;
        double r181672 = z;
        double r181673 = 8.0;
        double r181674 = r181672 / r181673;
        double r181675 = r181671 - r181674;
        return r181675;
}

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 2019303 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))