Average Error: 0.0 → 0.0
Time: 4.0s
Precision: 64
\[\frac{x + y}{y + 1}\]
↓
\[\frac{y + x}{y + 1}\]
\frac{x + y}{y + 1}
↓
\frac{y + x}{y + 1}
double f(double x, double y) {
        double r218195 = x;
        double r218196 = y;
        double r218197 = r218195 + r218196;
        double r218198 = 1.0;
        double r218199 = r218196 + r218198;
        double r218200 = r218197 / r218199;
        return r218200;
}
↓
double f(double x, double y) {
        double r218201 = y;
        double r218202 = x;
        double r218203 = r218201 + r218202;
        double r218204 = 1.0;
        double r218205 = r218201 + r218204;
        double r218206 = r218203 / r218205;
        return r218206;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{x + y}{y + 1}\]

  2. Final simplification0.0

    \[\leadsto \frac{y + x}{y + 1}\]

Reproduce

herbie shell --seed 2019195 
(FPCore (x y)
  :name "Data.Colour.SRGB:invTransferFunction from colour-2.3.3"
  (/ (+ x y) (+ y 1.0)))