Average Error: 0.0 → 0.0
Time: 10.1s
Precision: 64
\[x + \frac{y - x}{z}\]
↓
\[\left(\frac{y}{z} - \frac{x}{z}\right) + x\]
x + \frac{y - x}{z}
↓
\left(\frac{y}{z} - \frac{x}{z}\right) + x
double f(double x, double y, double z) {
        double r699214 = x;
        double r699215 = y;
        double r699216 = r699215 - r699214;
        double r699217 = z;
        double r699218 = r699216 / r699217;
        double r699219 = r699214 + r699218;
        return r699219;
}
↓
double f(double x, double y, double z) {
        double r699220 = y;
        double r699221 = z;
        double r699222 = r699220 / r699221;
        double r699223 = x;
        double r699224 = r699223 / r699221;
        double r699225 = r699222 - r699224;
        double r699226 = r699225 + r699223;
        return r699226;
}

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. Using strategy rm

  3. Applied div-sub0.0

    \[\leadsto x + \color{blue}{\left(\frac{y}{z} - \frac{x}{z}\right)}\]

  4. Final simplification0.0

    \[\leadsto \left(\frac{y}{z} - \frac{x}{z}\right) + x\]

Reproduce

herbie shell --seed 2019171 
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  (+ x (/ (- y x) z)))