Average Error: 0.0 → 0.0
Time: 10.4s
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 r10546200 = x;
        double r10546201 = y;
        double r10546202 = r10546200 + r10546201;
        double r10546203 = 1.0;
        double r10546204 = r10546201 + r10546203;
        double r10546205 = r10546202 / r10546204;
        return r10546205;
}
↓
double f(double x, double y) {
        double r10546206 = y;
        double r10546207 = x;
        double r10546208 = r10546206 + r10546207;
        double r10546209 = 1.0;
        double r10546210 = r10546206 + r10546209;
        double r10546211 = r10546208 / r10546210;
        return r10546211;
}

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 2019168 
(FPCore (x y)
  :name "Data.Colour.SRGB:invTransferFunction from colour-2.3.3"
  (/ (+ x y) (+ y 1.0)))