Average Error: 0.0 → 0.0
Time: 18.5s
Precision: 64
\[\frac{2.30753 + x \cdot 0.27061}{1.0 + x \cdot \left(0.99229 + x \cdot 0.04481\right)} - x\]
↓
\[\frac{0.27061 \cdot x + 2.30753}{x \cdot \left(x \cdot 0.04481 + 0.99229\right) + 1.0} - x\]
\frac{2.30753 + x \cdot 0.27061}{1.0 + x \cdot \left(0.99229 + x \cdot 0.04481\right)} - x
↓
\frac{0.27061 \cdot x + 2.30753}{x \cdot \left(x \cdot 0.04481 + 0.99229\right) + 1.0} - x
double f(double x) {
        double r3785054 = 2.30753;
        double r3785055 = x;
        double r3785056 = 0.27061;
        double r3785057 = r3785055 * r3785056;
        double r3785058 = r3785054 + r3785057;
        double r3785059 = 1.0;
        double r3785060 = 0.99229;
        double r3785061 = 0.04481;
        double r3785062 = r3785055 * r3785061;
        double r3785063 = r3785060 + r3785062;
        double r3785064 = r3785055 * r3785063;
        double r3785065 = r3785059 + r3785064;
        double r3785066 = r3785058 / r3785065;
        double r3785067 = r3785066 - r3785055;
        return r3785067;
}
↓
double f(double x) {
        double r3785068 = 0.27061;
        double r3785069 = x;
        double r3785070 = r3785068 * r3785069;
        double r3785071 = 2.30753;
        double r3785072 = r3785070 + r3785071;
        double r3785073 = 0.04481;
        double r3785074 = r3785069 * r3785073;
        double r3785075 = 0.99229;
        double r3785076 = r3785074 + r3785075;
        double r3785077 = r3785069 * r3785076;
        double r3785078 = 1.0;
        double r3785079 = r3785077 + r3785078;
        double r3785080 = r3785072 / r3785079;
        double r3785081 = r3785080 - r3785069;
        return r3785081;
}

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2019165 
(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))