Average Error: 0.0 → 0.0
Time: 1.8s
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 r231534 = x;
        double r231535 = y;
        double r231536 = r231534 * r231535;
        double r231537 = 2.0;
        double r231538 = r231536 / r231537;
        double r231539 = z;
        double r231540 = 8.0;
        double r231541 = r231539 / r231540;
        double r231542 = r231538 - r231541;
        return r231542;
}
↓
double f(double x, double y, double z) {
        double r231543 = x;
        double r231544 = y;
        double r231545 = r231543 * r231544;
        double r231546 = 2.0;
        double r231547 = r231545 / r231546;
        double r231548 = z;
        double r231549 = 8.0;
        double r231550 = r231548 / r231549;
        double r231551 = r231547 - r231550;
        return r231551;
}

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 2020064 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))