Average Error: 0.0 → 0.0
Time: 3.9s
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 r169574 = x;
        double r169575 = 2.0;
        double r169576 = r169574 / r169575;
        double r169577 = y;
        double r169578 = r169577 * r169574;
        double r169579 = r169576 + r169578;
        double r169580 = z;
        double r169581 = r169579 + r169580;
        return r169581;
}
↓
double f(double x, double y, double z) {
        double r169582 = x;
        double r169583 = 2.0;
        double r169584 = r169582 / r169583;
        double r169585 = y;
        double r169586 = r169585 * r169582;
        double r169587 = r169584 + r169586;
        double r169588 = z;
        double r169589 = r169587 + r169588;
        return r169589;
}

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 2019195 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  (+ (+ (/ x 2.0) (* y x)) z))