Average Error: 0.0 → 0.0
Time: 2.9s
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 r12403991 = x;
        double r12403992 = 2.0;
        double r12403993 = r12403991 / r12403992;
        double r12403994 = y;
        double r12403995 = r12403994 * r12403991;
        double r12403996 = r12403993 + r12403995;
        double r12403997 = z;
        double r12403998 = r12403996 + r12403997;
        return r12403998;
}
↓
double f(double x, double y, double z) {
        double r12403999 = x;
        double r12404000 = 2.0;
        double r12404001 = r12403999 / r12404000;
        double r12404002 = y;
        double r12404003 = r12404002 * r12403999;
        double r12404004 = r12404001 + r12404003;
        double r12404005 = z;
        double r12404006 = r12404004 + r12404005;
        return r12404006;
}

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 2019169 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  (+ (+ (/ x 2.0) (* y x)) z))