Average Error: 0.1 → 0.1
Time: 8.8s
Precision: 64
\[\frac{841}{108} \cdot x + \frac{4}{29}\]
↓
\[\frac{841}{108} \cdot x + \frac{4}{29}\]
\frac{841}{108} \cdot x + \frac{4}{29}
↓
\frac{841}{108} \cdot x + \frac{4}{29}
double f(double x) {
        double r215295 = 841.0;
        double r215296 = 108.0;
        double r215297 = r215295 / r215296;
        double r215298 = x;
        double r215299 = r215297 * r215298;
        double r215300 = 4.0;
        double r215301 = 29.0;
        double r215302 = r215300 / r215301;
        double r215303 = r215299 + r215302;
        return r215303;
}
↓
double f(double x) {
        double r215304 = 841.0;
        double r215305 = 108.0;
        double r215306 = r215304 / r215305;
        double r215307 = x;
        double r215308 = r215306 * r215307;
        double r215309 = 4.0;
        double r215310 = 29.0;
        double r215311 = r215309 / r215310;
        double r215312 = r215308 + r215311;
        return r215312;
}

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\frac{841}{108} \cdot x + \frac{4}{29}\]

  2. Simplified0.1

    \[\leadsto \color{blue}{\frac{4}{29} + \frac{841}{108} \cdot x}\]

  3. Final simplification0.1

    \[\leadsto \frac{841}{108} \cdot x + \frac{4}{29}\]

Reproduce

herbie shell --seed 2019196 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)))