Average Error: 0.0 → 0.0
Time: 16.3s
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 r13121094 = x;
        double r13121095 = 2.0;
        double r13121096 = r13121094 / r13121095;
        double r13121097 = y;
        double r13121098 = r13121097 * r13121094;
        double r13121099 = r13121096 + r13121098;
        double r13121100 = z;
        double r13121101 = r13121099 + r13121100;
        return r13121101;
}
↓
double f(double x, double y, double z) {
        double r13121102 = x;
        double r13121103 = 2.0;
        double r13121104 = r13121102 / r13121103;
        double r13121105 = y;
        double r13121106 = r13121105 * r13121102;
        double r13121107 = r13121104 + r13121106;
        double r13121108 = z;
        double r13121109 = r13121107 + r13121108;
        return r13121109;
}

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 2019171 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  (+ (+ (/ x 2.0) (* y x)) z))