Average Error: 0.0 → 0.0
Time: 6.1s
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 r10049 = x;
        double r10050 = y;
        double r10051 = r10050 - r10049;
        double r10052 = z;
        double r10053 = r10051 / r10052;
        double r10054 = r10049 + r10053;
        return r10054;
}
↓
double f(double x, double y, double z) {
        double r10055 = x;
        double r10056 = y;
        double r10057 = r10056 - r10055;
        double r10058 = z;
        double r10059 = r10057 / r10058;
        double r10060 = r10055 + r10059;
        return r10060;
}

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 2019235 +o rules:numerics
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  :precision binary64
  (+ x (/ (- y x) z)))