Average Error: 0.0 → 0.0
Time: 806.0ms
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 r224205 = x;
        double r224206 = 2.0;
        double r224207 = r224205 / r224206;
        double r224208 = y;
        double r224209 = r224208 * r224205;
        double r224210 = r224207 + r224209;
        double r224211 = z;
        double r224212 = r224210 + r224211;
        return r224212;
}
↓
double f(double x, double y, double z) {
        double r224213 = x;
        double r224214 = 2.0;
        double r224215 = r224213 / r224214;
        double r224216 = y;
        double r224217 = r224216 * r224213;
        double r224218 = r224215 + r224217;
        double r224219 = z;
        double r224220 = r224218 + r224219;
        return r224220;
}

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 2020003 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  :precision binary64
  (+ (+ (/ x 2) (* y x)) z))