Average Error: 0.0 → 0.0
Time: 1.6s
Precision: 64
\[x + \frac{y - x}{z}\]
↓
\[x + \frac{y - x}{z}\]
x + \frac{y - x}{z}
↓
x + \frac{y - x}{z}
double f(double x, double y, double z) {
        double r4997 = x;
        double r4998 = y;
        double r4999 = r4998 - r4997;
        double r5000 = z;
        double r5001 = r4999 / r5000;
        double r5002 = r4997 + r5001;
        return r5002;
}
↓
double f(double x, double y, double z) {
        double r5003 = x;
        double r5004 = y;
        double r5005 = r5004 - r5003;
        double r5006 = z;
        double r5007 = r5005 / r5006;
        double r5008 = r5003 + r5007;
        return r5008;
}

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

    \[x + \frac{y - x}{z}\]

  2. Final simplification0.0

    \[\leadsto x + \frac{y - x}{z}\]

Reproduce

herbie shell --seed 2020064 +o rules:numerics
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  :precision binary64
  (+ x (/ (- y x) z)))