Average Error: 0.0 → 0.0
Time: 1.5s
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 r256006 = x;
        double r256007 = 2.0;
        double r256008 = r256006 / r256007;
        double r256009 = y;
        double r256010 = r256009 * r256006;
        double r256011 = r256008 + r256010;
        double r256012 = z;
        double r256013 = r256011 + r256012;
        return r256013;
}
↓
double f(double x, double y, double z) {
        double r256014 = x;
        double r256015 = 2.0;
        double r256016 = r256014 / r256015;
        double r256017 = y;
        double r256018 = r256017 * r256014;
        double r256019 = r256016 + r256018;
        double r256020 = z;
        double r256021 = r256019 + r256020;
        return r256021;
}

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 2019353 +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))