Average Error: 0.0 → 0.0
Time: 18.1s
Precision: 64
\[\left(\frac{x}{2.0} + y \cdot x\right) + z\]
↓
\[\left(\frac{x}{2.0} + y \cdot x\right) + z\]
\left(\frac{x}{2.0} + y \cdot x\right) + z
↓
\left(\frac{x}{2.0} + y \cdot x\right) + z
double f(double x, double y, double z) {
        double r15763092 = x;
        double r15763093 = 2.0;
        double r15763094 = r15763092 / r15763093;
        double r15763095 = y;
        double r15763096 = r15763095 * r15763092;
        double r15763097 = r15763094 + r15763096;
        double r15763098 = z;
        double r15763099 = r15763097 + r15763098;
        return r15763099;
}
↓
double f(double x, double y, double z) {
        double r15763100 = x;
        double r15763101 = 2.0;
        double r15763102 = r15763100 / r15763101;
        double r15763103 = y;
        double r15763104 = r15763103 * r15763100;
        double r15763105 = r15763102 + r15763104;
        double r15763106 = z;
        double r15763107 = r15763105 + r15763106;
        return r15763107;
}

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

    \[\left(\frac{x}{2.0} + y \cdot x\right) + z\]

  2. Final simplification0.0

    \[\leadsto \left(\frac{x}{2.0} + y \cdot x\right) + z\]

Reproduce

herbie shell --seed 2019165 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  (+ (+ (/ x 2.0) (* y x)) z))