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 r235378 = x;
        double r235379 = y;
        double r235380 = r235378 * r235379;
        double r235381 = 2.0;
        double r235382 = r235380 / r235381;
        double r235383 = z;
        double r235384 = 8.0;
        double r235385 = r235383 / r235384;
        double r235386 = r235382 - r235385;
        return r235386;
}
↓
double f(double x, double y, double z) {
        double r235387 = x;
        double r235388 = y;
        double r235389 = r235387 * r235388;
        double r235390 = 2.0;
        double r235391 = r235389 / r235390;
        double r235392 = z;
        double r235393 = 8.0;
        double r235394 = r235392 / r235393;
        double r235395 = r235391 - r235394;
        return r235395;
}

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 2020025 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))