Average Error: 0.1 → 0.1
Time: 11.2s
Precision: 64
\[\frac{841}{108} \cdot x + \frac{4}{29}\]
↓
\[\frac{4}{29} + \frac{841}{108} \cdot x\]
\frac{841}{108} \cdot x + \frac{4}{29}
↓
\frac{4}{29} + \frac{841}{108} \cdot x
double f(double x) {
        double r12863304 = 841.0;
        double r12863305 = 108.0;
        double r12863306 = r12863304 / r12863305;
        double r12863307 = x;
        double r12863308 = r12863306 * r12863307;
        double r12863309 = 4.0;
        double r12863310 = 29.0;
        double r12863311 = r12863309 / r12863310;
        double r12863312 = r12863308 + r12863311;
        return r12863312;
}
↓
double f(double x) {
        double r12863313 = 4.0;
        double r12863314 = 29.0;
        double r12863315 = r12863313 / r12863314;
        double r12863316 = 841.0;
        double r12863317 = 108.0;
        double r12863318 = r12863316 / r12863317;
        double r12863319 = x;
        double r12863320 = r12863318 * r12863319;
        double r12863321 = r12863315 + r12863320;
        return r12863321;
}

Error

Bits error versus x

Try it out

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. Final simplification0.1

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

Reproduce

herbie shell --seed 2019192 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)))