Average Error: 0.0 → 0.0
Time: 524.0ms
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 r28290 = x;
        double r28291 = y;
        double r28292 = r28290 * r28291;
        double r28293 = 2.0;
        double r28294 = r28292 / r28293;
        double r28295 = z;
        double r28296 = 8.0;
        double r28297 = r28295 / r28296;
        double r28298 = r28294 - r28297;
        return r28298;
}
↓
double f(double x, double y, double z) {
        double r28299 = x;
        double r28300 = y;
        double r28301 = r28299 * r28300;
        double r28302 = 2.0;
        double r28303 = r28301 / r28302;
        double r28304 = z;
        double r28305 = 8.0;
        double r28306 = r28304 / r28305;
        double r28307 = r28303 - r28306;
        return r28307;
}

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 2020045 +o rules:numerics
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, D"
  :precision binary64
  (- (/ (* x y) 2) (/ z 8)))