Average Error: 0.0 → 0.0
Time: 4.9s
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 r117212 = x;
        double r117213 = 2.0;
        double r117214 = r117212 / r117213;
        double r117215 = y;
        double r117216 = r117215 * r117212;
        double r117217 = r117214 + r117216;
        double r117218 = z;
        double r117219 = r117217 + r117218;
        return r117219;
}
↓
double f(double x, double y, double z) {
        double r117220 = x;
        double r117221 = 2.0;
        double r117222 = r117220 / r117221;
        double r117223 = y;
        double r117224 = r117223 * r117220;
        double r117225 = r117222 + r117224;
        double r117226 = z;
        double r117227 = r117225 + r117226;
        return r117227;
}

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 2019322 +o rules:numerics
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  :precision binary64
  (+ (+ (/ x 2) (* y x)) z))