Average Error: 0.0 → 0.0
Time: 3.5s
Precision: 64
\[\left(\frac{x}{2} + y \cdot x\right) + z\]
↓
\[\left(\frac{x}{2} + y \cdot x\right) + z\]
\left(\frac{x}{2} + y \cdot x\right) + z
↓
\left(\frac{x}{2} + y \cdot x\right) + z
double f(double x, double y, double z) {
        double r295543 = x;
        double r295544 = 2.0;
        double r295545 = r295543 / r295544;
        double r295546 = y;
        double r295547 = r295546 * r295543;
        double r295548 = r295545 + r295547;
        double r295549 = z;
        double r295550 = r295548 + r295549;
        return r295550;
}
↓
double f(double x, double y, double z) {
        double r295551 = x;
        double r295552 = 2.0;
        double r295553 = r295551 / r295552;
        double r295554 = y;
        double r295555 = r295554 * r295551;
        double r295556 = r295553 + r295555;
        double r295557 = z;
        double r295558 = r295556 + r295557;
        return r295558;
}

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

    \[\left(\frac{x}{2} + y \cdot x\right) + z\]

  2. Final simplification0.0

    \[\leadsto \left(\frac{x}{2} + y \cdot x\right) + z\]

Reproduce

herbie shell --seed 2019350 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  :precision binary64
  (+ (+ (/ x 2) (* y x)) z))