Average Error: 0.1 → 0.1
Time: 12.2s
Precision: 64
\[\frac{841.0}{108.0} \cdot x + \frac{4.0}{29.0}\]
↓
\[\frac{4.0}{29.0} + \frac{841.0}{108.0} \cdot x\]
\frac{841.0}{108.0} \cdot x + \frac{4.0}{29.0}
↓
\frac{4.0}{29.0} + \frac{841.0}{108.0} \cdot x
double f(double x) {
        double r14683353 = 841.0;
        double r14683354 = 108.0;
        double r14683355 = r14683353 / r14683354;
        double r14683356 = x;
        double r14683357 = r14683355 * r14683356;
        double r14683358 = 4.0;
        double r14683359 = 29.0;
        double r14683360 = r14683358 / r14683359;
        double r14683361 = r14683357 + r14683360;
        return r14683361;
}
↓
double f(double x) {
        double r14683362 = 4.0;
        double r14683363 = 29.0;
        double r14683364 = r14683362 / r14683363;
        double r14683365 = 841.0;
        double r14683366 = 108.0;
        double r14683367 = r14683365 / r14683366;
        double r14683368 = x;
        double r14683369 = r14683367 * r14683368;
        double r14683370 = r14683364 + r14683369;
        return r14683370;
}

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

    \[\frac{841.0}{108.0} \cdot x + \frac{4.0}{29.0}\]

  2. Final simplification0.1

    \[\leadsto \frac{4.0}{29.0} + \frac{841.0}{108.0} \cdot x\]

Reproduce

herbie shell --seed 2019163 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)))