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 r15111794 = x;
        double r15111795 = y;
        double r15111796 = r15111794 + r15111795;
        double r15111797 = 1.0;
        double r15111798 = r15111795 + r15111797;
        double r15111799 = r15111796 / r15111798;
        return r15111799;
}
↓
double f(double x, double y) {
        double r15111800 = y;
        double r15111801 = x;
        double r15111802 = r15111800 + r15111801;
        double r15111803 = 1.0;
        double r15111804 = r15111800 + r15111803;
        double r15111805 = r15111802 / r15111804;
        return r15111805;
}

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)))