Average Error: 0.0 → 0.0
Time: 5.0s
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 r14450640 = x;
        double r14450641 = y;
        double r14450642 = r14450640 + r14450641;
        double r14450643 = 1.0;
        double r14450644 = r14450641 + r14450643;
        double r14450645 = r14450642 / r14450644;
        return r14450645;
}
↓
double f(double x, double y) {
        double r14450646 = y;
        double r14450647 = x;
        double r14450648 = r14450646 + r14450647;
        double r14450649 = 1.0;
        double r14450650 = r14450646 + r14450649;
        double r14450651 = r14450648 / r14450650;
        return r14450651;
}

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)))