Average Error: 0.1 → 0.1
Time: 3.7s
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 r5628126 = 841.0;
        double r5628127 = 108.0;
        double r5628128 = r5628126 / r5628127;
        double r5628129 = x;
        double r5628130 = r5628128 * r5628129;
        double r5628131 = 4.0;
        double r5628132 = 29.0;
        double r5628133 = r5628131 / r5628132;
        double r5628134 = r5628130 + r5628133;
        return r5628134;
}
↓
double f(double x) {
        double r5628135 = 4.0;
        double r5628136 = 29.0;
        double r5628137 = r5628135 / r5628136;
        double r5628138 = 841.0;
        double r5628139 = 108.0;
        double r5628140 = r5628138 / r5628139;
        double r5628141 = x;
        double r5628142 = r5628140 * r5628141;
        double r5628143 = r5628137 + r5628142;
        return r5628143;
}

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 2019156 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)))