Average Error: 0.0 → 0.0
Time: 3.3s
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 r5935343 = x;
        double r5935344 = y;
        double r5935345 = r5935343 + r5935344;
        double r5935346 = 1.0;
        double r5935347 = r5935344 + r5935346;
        double r5935348 = r5935345 / r5935347;
        return r5935348;
}
↓
double f(double x, double y) {
        double r5935349 = y;
        double r5935350 = x;
        double r5935351 = r5935349 + r5935350;
        double r5935352 = 1.0;
        double r5935353 = r5935349 + r5935352;
        double r5935354 = r5935351 / r5935353;
        return r5935354;
}

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 2019156 
(FPCore (x y)
  :name "Data.Colour.SRGB:invTransferFunction from colour-2.3.3"
  (/ (+ x y) (+ y 1.0)))