Average Error: 0.0 → 0.0
Time: 6.4s
Precision: 64
\[\frac{x + y}{y + 1.0}\]
↓
\[\frac{y + x}{y + 1.0}\]
\frac{x + y}{y + 1.0}
↓
\frac{y + x}{y + 1.0}
double f(double x, double y) {
        double r9418414 = x;
        double r9418415 = y;
        double r9418416 = r9418414 + r9418415;
        double r9418417 = 1.0;
        double r9418418 = r9418415 + r9418417;
        double r9418419 = r9418416 / r9418418;
        return r9418419;
}
↓
double f(double x, double y) {
        double r9418420 = y;
        double r9418421 = x;
        double r9418422 = r9418420 + r9418421;
        double r9418423 = 1.0;
        double r9418424 = r9418420 + r9418423;
        double r9418425 = r9418422 / r9418424;
        return r9418425;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{x + y}{y + 1.0}\]

  2. Final simplification0.0

    \[\leadsto \frac{y + x}{y + 1.0}\]

Reproduce

herbie shell --seed 2019163 
(FPCore (x y)
  :name "Data.Colour.SRGB:invTransferFunction from colour-2.3.3"
  (/ (+ x y) (+ y 1.0)))