Average Error: 0.0 → 0.0
Time: 2.0s
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 r10670 = x;
        double r10671 = y;
        double r10672 = r10671 - r10670;
        double r10673 = z;
        double r10674 = r10672 / r10673;
        double r10675 = r10670 + r10674;
        return r10675;
}
↓
double f(double x, double y, double z) {
        double r10676 = x;
        double r10677 = y;
        double r10678 = r10677 - r10676;
        double r10679 = z;
        double r10680 = r10678 / r10679;
        double r10681 = r10676 + r10680;
        return r10681;
}

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 2020049 
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  :precision binary64
  (+ x (/ (- y x) z)))