Average Error: 0.0 → 0.0
Time: 7.3s
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 r14384293 = x;
        double r14384294 = y;
        double r14384295 = r14384293 + r14384294;
        double r14384296 = 1.0;
        double r14384297 = r14384294 + r14384296;
        double r14384298 = r14384295 / r14384297;
        return r14384298;
}
↓
double f(double x, double y) {
        double r14384299 = y;
        double r14384300 = x;
        double r14384301 = r14384299 + r14384300;
        double r14384302 = 1.0;
        double r14384303 = r14384299 + r14384302;
        double r14384304 = r14384301 / r14384303;
        return r14384304;
}

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 2019165 
(FPCore (x y)
  :name "Data.Colour.SRGB:invTransferFunction from colour-2.3.3"
  (/ (+ x y) (+ y 1.0)))