Average Error: 0.0 → 0.0
Time: 10.2s
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 r14122242 = x;
        double r14122243 = y;
        double r14122244 = r14122242 + r14122243;
        double r14122245 = 1.0;
        double r14122246 = r14122243 + r14122245;
        double r14122247 = r14122244 / r14122246;
        return r14122247;
}

double f(double x, double y) {
        double r14122248 = y;
        double r14122249 = x;
        double r14122250 = r14122248 + r14122249;
        double r14122251 = 1.0;
        double r14122252 = r14122248 + r14122251;
        double r14122253 = r14122250 / r14122252;
        return r14122253;
}

Error

Bits error versus x

Bits error versus y

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Results

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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 2019172 
(FPCore (x y)
  :name "Data.Colour.SRGB:invTransferFunction from colour-2.3.3"
  (/ (+ x y) (+ y 1.0)))