Average Error: 0.0 → 0.0
Time: 3.4s
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 r29947 = x;
        double r29948 = y;
        double r29949 = r29948 - r29947;
        double r29950 = z;
        double r29951 = r29949 / r29950;
        double r29952 = r29947 + r29951;
        return r29952;
}
↓
double f(double x, double y, double z) {
        double r29953 = x;
        double r29954 = y;
        double r29955 = r29954 - r29953;
        double r29956 = z;
        double r29957 = r29955 / r29956;
        double r29958 = r29953 + r29957;
        return r29958;
}

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 2020035 
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  :precision binary64
  (+ x (/ (- y x) z)))