Average Error: 0.0 → 0.0
Time: 18.0s
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 r849261 = x;
        double r849262 = y;
        double r849263 = r849262 - r849261;
        double r849264 = z;
        double r849265 = r849263 / r849264;
        double r849266 = r849261 + r849265;
        return r849266;
}
↓
double f(double x, double y, double z) {
        double r849267 = y;
        double r849268 = z;
        double r849269 = r849267 / r849268;
        double r849270 = x;
        double r849271 = r849270 / r849268;
        double r849272 = r849269 - r849271;
        double r849273 = r849272 + r849270;
        return r849273;
}

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 2019162 +o rules:numerics
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  (+ x (/ (- y x) z)))