Average Error: 0.0 → 0.0
Time: 5.2s
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 r10283815 = x;
        double r10283816 = y;
        double r10283817 = r10283815 + r10283816;
        double r10283818 = 1.0;
        double r10283819 = r10283816 + r10283818;
        double r10283820 = r10283817 / r10283819;
        return r10283820;
}
↓
double f(double x, double y) {
        double r10283821 = y;
        double r10283822 = x;
        double r10283823 = r10283821 + r10283822;
        double r10283824 = 1.0;
        double r10283825 = r10283821 + r10283824;
        double r10283826 = r10283823 / r10283825;
        return r10283826;
}

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 2019164 
(FPCore (x y)
  :name "Data.Colour.SRGB:invTransferFunction from colour-2.3.3"
  (/ (+ x y) (+ y 1.0)))