Average Error: 0.0 → 0.0
Time: 2.1s
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 r273582 = x;
        double r273583 = y;
        double r273584 = r273582 * r273583;
        double r273585 = 2.0;
        double r273586 = r273584 / r273585;
        double r273587 = z;
        double r273588 = 8.0;
        double r273589 = r273587 / r273588;
        double r273590 = r273586 - r273589;
        return r273590;
}
↓
double f(double x, double y, double z) {
        double r273591 = x;
        double r273592 = y;
        double r273593 = r273591 * r273592;
        double r273594 = 2.0;
        double r273595 = r273593 / r273594;
        double r273596 = z;
        double r273597 = 8.0;
        double r273598 = r273596 / r273597;
        double r273599 = r273595 - r273598;
        return r273599;
}

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 2020056 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))