Average Error: 0.0 → 0.0
Time: 6.8s
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 r187419 = x;
        double r187420 = y;
        double r187421 = r187419 * r187420;
        double r187422 = 2.0;
        double r187423 = r187421 / r187422;
        double r187424 = z;
        double r187425 = 8.0;
        double r187426 = r187424 / r187425;
        double r187427 = r187423 - r187426;
        return r187427;
}
↓
double f(double x, double y, double z) {
        double r187428 = x;
        double r187429 = y;
        double r187430 = r187428 * r187429;
        double r187431 = 2.0;
        double r187432 = r187430 / r187431;
        double r187433 = z;
        double r187434 = 8.0;
        double r187435 = r187433 / r187434;
        double r187436 = r187432 - r187435;
        return r187436;
}

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 2019305 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))