Average Error: 0.0 → 0.0
Time: 684.0ms
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 r244490 = x;
        double r244491 = 2.0;
        double r244492 = r244490 / r244491;
        double r244493 = y;
        double r244494 = r244493 * r244490;
        double r244495 = r244492 + r244494;
        double r244496 = z;
        double r244497 = r244495 + r244496;
        return r244497;
}
↓
double f(double x, double y, double z) {
        double r244498 = x;
        double r244499 = 2.0;
        double r244500 = r244498 / r244499;
        double r244501 = y;
        double r244502 = r244501 * r244498;
        double r244503 = r244500 + r244502;
        double r244504 = z;
        double r244505 = r244503 + r244504;
        return r244505;
}

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 2020049 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  :precision binary64
  (+ (+ (/ x 2) (* y x)) z))