Average Error: 0.0 → 0.0
Time: 4.4s
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 r24260 = x;
        double r24261 = y;
        double r24262 = r24261 - r24260;
        double r24263 = z;
        double r24264 = r24262 / r24263;
        double r24265 = r24260 + r24264;
        return r24265;
}
↓
double f(double x, double y, double z) {
        double r24266 = x;
        double r24267 = y;
        double r24268 = r24267 - r24266;
        double r24269 = z;
        double r24270 = r24268 / r24269;
        double r24271 = r24266 + r24270;
        return r24271;
}

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 2020065 +o rules:numerics
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  :precision binary64
  (+ x (/ (- y x) z)))