Average Error: 0.0 → 0.0
Time: 13.4s
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 r23093 = x;
        double r23094 = y;
        double r23095 = r23094 - r23093;
        double r23096 = z;
        double r23097 = r23095 / r23096;
        double r23098 = r23093 + r23097;
        return r23098;
}
↓
double f(double x, double y, double z) {
        double r23099 = x;
        double r23100 = y;
        double r23101 = r23100 - r23099;
        double r23102 = z;
        double r23103 = r23101 / r23102;
        double r23104 = r23099 + r23103;
        return r23104;
}

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 2019303 
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  :precision binary64
  (+ x (/ (- y x) z)))