Average Error: 0.0 → 0.0
Time: 8.8s
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 r22032911 = x;
        double r22032912 = y;
        double r22032913 = r22032911 + r22032912;
        double r22032914 = 1.0;
        double r22032915 = r22032912 + r22032914;
        double r22032916 = r22032913 / r22032915;
        return r22032916;
}
↓
double f(double x, double y) {
        double r22032917 = y;
        double r22032918 = x;
        double r22032919 = r22032917 + r22032918;
        double r22032920 = 1.0;
        double r22032921 = r22032917 + r22032920;
        double r22032922 = r22032919 / r22032921;
        return r22032922;
}

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 2019158 
(FPCore (x y)
  :name "Data.Colour.SRGB:invTransferFunction from colour-2.3.3"
  (/ (+ x y) (+ y 1.0)))