Average Error: 0.1 → 0.1
Time: 12.1s
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 r12744820 = 841.0;
        double r12744821 = 108.0;
        double r12744822 = r12744820 / r12744821;
        double r12744823 = x;
        double r12744824 = r12744822 * r12744823;
        double r12744825 = 4.0;
        double r12744826 = 29.0;
        double r12744827 = r12744825 / r12744826;
        double r12744828 = r12744824 + r12744827;
        return r12744828;
}
↓
double f(double x) {
        double r12744829 = 4.0;
        double r12744830 = 29.0;
        double r12744831 = r12744829 / r12744830;
        double r12744832 = 841.0;
        double r12744833 = 108.0;
        double r12744834 = r12744832 / r12744833;
        double r12744835 = x;
        double r12744836 = r12744834 * r12744835;
        double r12744837 = r12744831 + r12744836;
        return r12744837;
}

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 2019162 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)))