Average Error: 0.0 → 0.0
Time: 863.0ms
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 r253647 = x;
        double r253648 = 2.0;
        double r253649 = r253647 / r253648;
        double r253650 = y;
        double r253651 = r253650 * r253647;
        double r253652 = r253649 + r253651;
        double r253653 = z;
        double r253654 = r253652 + r253653;
        return r253654;
}
↓
double f(double x, double y, double z) {
        double r253655 = x;
        double r253656 = 2.0;
        double r253657 = r253655 / r253656;
        double r253658 = y;
        double r253659 = r253658 * r253655;
        double r253660 = r253657 + r253659;
        double r253661 = z;
        double r253662 = r253660 + r253661;
        return r253662;
}

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 2020033 +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))