Average Error: 0.1 → 0.1
Time: 8.3s
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 r12578414 = 841.0;
        double r12578415 = 108.0;
        double r12578416 = r12578414 / r12578415;
        double r12578417 = x;
        double r12578418 = r12578416 * r12578417;
        double r12578419 = 4.0;
        double r12578420 = 29.0;
        double r12578421 = r12578419 / r12578420;
        double r12578422 = r12578418 + r12578421;
        return r12578422;
}
↓
double f(double x) {
        double r12578423 = 4.0;
        double r12578424 = 29.0;
        double r12578425 = r12578423 / r12578424;
        double r12578426 = 841.0;
        double r12578427 = 108.0;
        double r12578428 = r12578426 / r12578427;
        double r12578429 = x;
        double r12578430 = r12578428 * r12578429;
        double r12578431 = r12578425 + r12578430;
        return r12578431;
}

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

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

  2. Final simplification0.1

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

Reproduce

herbie shell --seed 2019165 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)))