Average Error: 0.0 → 0.0
Time: 2.2s
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 r311375 = x;
        double r311376 = y;
        double r311377 = r311375 * r311376;
        double r311378 = 2.0;
        double r311379 = r311377 / r311378;
        double r311380 = z;
        double r311381 = 8.0;
        double r311382 = r311380 / r311381;
        double r311383 = r311379 - r311382;
        return r311383;
}
↓
double f(double x, double y, double z) {
        double r311384 = x;
        double r311385 = y;
        double r311386 = r311384 * r311385;
        double r311387 = 2.0;
        double r311388 = r311386 / r311387;
        double r311389 = z;
        double r311390 = 8.0;
        double r311391 = r311389 / r311390;
        double r311392 = r311388 - r311391;
        return r311392;
}

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 2020065 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))