Average Error: 0.0 → 0.0
Time: 8.4s
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 r26128 = x;
        double r26129 = y;
        double r26130 = r26129 - r26128;
        double r26131 = z;
        double r26132 = r26130 / r26131;
        double r26133 = r26128 + r26132;
        return r26133;
}
↓
double f(double x, double y, double z) {
        double r26134 = x;
        double r26135 = y;
        double r26136 = r26135 - r26134;
        double r26137 = z;
        double r26138 = r26136 / r26137;
        double r26139 = r26134 + r26138;
        return r26139;
}

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 2020001 +o rules:numerics
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  :precision binary64
  (+ x (/ (- y x) z)))