Average Error: 0.0 → 0.0
Time: 9.9s
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 r19941 = x;
        double r19942 = y;
        double r19943 = r19942 - r19941;
        double r19944 = z;
        double r19945 = r19943 / r19944;
        double r19946 = r19941 + r19945;
        return r19946;
}
↓
double f(double x, double y, double z) {
        double r19947 = x;
        double r19948 = y;
        double r19949 = r19948 - r19947;
        double r19950 = z;
        double r19951 = r19949 / r19950;
        double r19952 = r19947 + r19951;
        return r19952;
}

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 2020042 +o rules:numerics
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  :precision binary64
  (+ x (/ (- y x) z)))