Average Error: 0.1 → 0.1
Time: 4.0s
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 r254944 = 841.0;
        double r254945 = 108.0;
        double r254946 = r254944 / r254945;
        double r254947 = x;
        double r254948 = r254946 * r254947;
        double r254949 = 4.0;
        double r254950 = 29.0;
        double r254951 = r254949 / r254950;
        double r254952 = r254948 + r254951;
        return r254952;
}
↓
double f(double x) {
        double r254953 = 841.0;
        double r254954 = 108.0;
        double r254955 = r254953 / r254954;
        double r254956 = x;
        double r254957 = r254955 * r254956;
        double r254958 = 4.0;
        double r254959 = 29.0;
        double r254960 = r254958 / r254959;
        double r254961 = r254957 + r254960;
        return r254961;
}

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

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

Reproduce

herbie shell --seed 2020046 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))