Average Error: 0.0 → 0.0
Time: 2.8s
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 r245548 = x;
        double r245549 = y;
        double r245550 = r245548 * r245549;
        double r245551 = 2.0;
        double r245552 = r245550 / r245551;
        double r245553 = z;
        double r245554 = 8.0;
        double r245555 = r245553 / r245554;
        double r245556 = r245552 - r245555;
        return r245556;
}
↓
double f(double x, double y, double z) {
        double r245557 = x;
        double r245558 = y;
        double r245559 = r245557 * r245558;
        double r245560 = 2.0;
        double r245561 = r245559 / r245560;
        double r245562 = z;
        double r245563 = 8.0;
        double r245564 = r245562 / r245563;
        double r245565 = r245561 - r245564;
        return r245565;
}

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 2020060 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))