Average Error: 0.0 → 0.0
Time: 681.0ms
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 r276372 = x;
        double r276373 = 2.0;
        double r276374 = r276372 / r276373;
        double r276375 = y;
        double r276376 = r276375 * r276372;
        double r276377 = r276374 + r276376;
        double r276378 = z;
        double r276379 = r276377 + r276378;
        return r276379;
}
↓
double f(double x, double y, double z) {
        double r276380 = x;
        double r276381 = 2.0;
        double r276382 = r276380 / r276381;
        double r276383 = y;
        double r276384 = r276383 * r276380;
        double r276385 = r276382 + r276384;
        double r276386 = z;
        double r276387 = r276385 + r276386;
        return r276387;
}

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 2020020 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  :precision binary64
  (+ (+ (/ x 2) (* y x)) z))