Average Error: 0.0 → 0.0
Time: 6.9s
Precision: 64
\[\frac{2.30753 + x \cdot 0.27061}{1.0 + x \cdot \left(0.99229 + x \cdot 0.04481\right)} - x\]
↓
\[\frac{1}{\frac{\left(0.99229 + 0.04481 \cdot x\right) \cdot x + 1.0}{x \cdot 0.27061 + 2.30753}} - x\]
\frac{2.30753 + x \cdot 0.27061}{1.0 + x \cdot \left(0.99229 + x \cdot 0.04481\right)} - x
↓
\frac{1}{\frac{\left(0.99229 + 0.04481 \cdot x\right) \cdot x + 1.0}{x \cdot 0.27061 + 2.30753}} - x
double f(double x) {
        double r1383806 = 2.30753;
        double r1383807 = x;
        double r1383808 = 0.27061;
        double r1383809 = r1383807 * r1383808;
        double r1383810 = r1383806 + r1383809;
        double r1383811 = 1.0;
        double r1383812 = 0.99229;
        double r1383813 = 0.04481;
        double r1383814 = r1383807 * r1383813;
        double r1383815 = r1383812 + r1383814;
        double r1383816 = r1383807 * r1383815;
        double r1383817 = r1383811 + r1383816;
        double r1383818 = r1383810 / r1383817;
        double r1383819 = r1383818 - r1383807;
        return r1383819;
}
↓
double f(double x) {
        double r1383820 = 1.0;
        double r1383821 = 0.99229;
        double r1383822 = 0.04481;
        double r1383823 = x;
        double r1383824 = r1383822 * r1383823;
        double r1383825 = r1383821 + r1383824;
        double r1383826 = r1383825 * r1383823;
        double r1383827 = 1.0;
        double r1383828 = r1383826 + r1383827;
        double r1383829 = 0.27061;
        double r1383830 = r1383823 * r1383829;
        double r1383831 = 2.30753;
        double r1383832 = r1383830 + r1383831;
        double r1383833 = r1383828 / r1383832;
        double r1383834 = r1383820 / r1383833;
        double r1383835 = r1383834 - r1383823;
        return r1383835;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{2.30753 + x \cdot 0.27061}{1.0 + x \cdot \left(0.99229 + x \cdot 0.04481\right)} - x\]
  2. Using strategy rm

  3. Applied clear-num0.0

    \[\leadsto \color{blue}{\frac{1}{\frac{1.0 + x \cdot \left(0.99229 + x \cdot 0.04481\right)}{2.30753 + x \cdot 0.27061}}} - x\]

  4. Final simplification0.0

    \[\leadsto \frac{1}{\frac{\left(0.99229 + 0.04481 \cdot x\right) \cdot x + 1.0}{x \cdot 0.27061 + 2.30753}} - x\]

Reproduce

herbie shell --seed 2019156 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, C"
  (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))