Average Error: 0.0 → 0.0
Time: 14.7s
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 r15217 = x;
        double r15218 = y;
        double r15219 = r15218 - r15217;
        double r15220 = z;
        double r15221 = r15219 / r15220;
        double r15222 = r15217 + r15221;
        return r15222;
}
↓
double f(double x, double y, double z) {
        double r15223 = x;
        double r15224 = y;
        double r15225 = r15224 - r15223;
        double r15226 = z;
        double r15227 = r15225 / r15226;
        double r15228 = r15223 + r15227;
        return r15228;
}

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 2019347 +o rules:numerics
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  :precision binary64
  (+ x (/ (- y x) z)))