Average Error: 0.0 → 0.0
Time: 1.1s
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 r230543 = x;
        double r230544 = 2.0;
        double r230545 = r230543 / r230544;
        double r230546 = y;
        double r230547 = r230546 * r230543;
        double r230548 = r230545 + r230547;
        double r230549 = z;
        double r230550 = r230548 + r230549;
        return r230550;
}
↓
double f(double x, double y, double z) {
        double r230551 = x;
        double r230552 = 2.0;
        double r230553 = r230551 / r230552;
        double r230554 = y;
        double r230555 = r230554 * r230551;
        double r230556 = r230553 + r230555;
        double r230557 = z;
        double r230558 = r230556 + r230557;
        return r230558;
}

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 2020036 +o rules:numerics
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  :precision binary64
  (+ (+ (/ x 2) (* y x)) z))