Average Error: 0.0 → 0.0
Time: 8.1s
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 r14844691 = x;
        double r14844692 = y;
        double r14844693 = r14844691 + r14844692;
        double r14844694 = 1.0;
        double r14844695 = r14844692 + r14844694;
        double r14844696 = r14844693 / r14844695;
        return r14844696;
}
↓
double f(double x, double y) {
        double r14844697 = y;
        double r14844698 = x;
        double r14844699 = r14844697 + r14844698;
        double r14844700 = 1.0;
        double r14844701 = r14844697 + r14844700;
        double r14844702 = r14844699 / r14844701;
        return r14844702;
}

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 2019162 
(FPCore (x y)
  :name "Data.Colour.SRGB:invTransferFunction from colour-2.3.3"
  (/ (+ x y) (+ y 1.0)))