Average Error: 0.0 → 0.0
Time: 3.2s
Precision: 64
\[\frac{2.30753 + x \cdot 0.27061000000000002}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)} - x\]
↓
\[\frac{2.30753 + x \cdot 0.27061000000000002}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)} - x\]
\frac{2.30753 + x \cdot 0.27061000000000002}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)} - x
↓
\frac{2.30753 + x \cdot 0.27061000000000002}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)} - x
double f(double x) {
        double r55847 = 2.30753;
        double r55848 = x;
        double r55849 = 0.27061;
        double r55850 = r55848 * r55849;
        double r55851 = r55847 + r55850;
        double r55852 = 1.0;
        double r55853 = 0.99229;
        double r55854 = 0.04481;
        double r55855 = r55848 * r55854;
        double r55856 = r55853 + r55855;
        double r55857 = r55848 * r55856;
        double r55858 = r55852 + r55857;
        double r55859 = r55851 / r55858;
        double r55860 = r55859 - r55848;
        return r55860;
}
↓
double f(double x) {
        double r55861 = 2.30753;
        double r55862 = x;
        double r55863 = 0.27061;
        double r55864 = r55862 * r55863;
        double r55865 = r55861 + r55864;
        double r55866 = 1.0;
        double r55867 = 0.99229;
        double r55868 = 0.04481;
        double r55869 = r55862 * r55868;
        double r55870 = r55867 + r55869;
        double r55871 = r55862 * r55870;
        double r55872 = r55866 + r55871;
        double r55873 = r55865 / r55872;
        double r55874 = r55873 - r55862;
        return r55874;
}

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{2.30753 + x \cdot 0.27061000000000002}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)} - x\]

  2. Final simplification0.0

    \[\leadsto \frac{2.30753 + x \cdot 0.27061000000000002}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)} - x\]

Reproduce

herbie shell --seed 2020046 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, C"
  :precision binary64
  (- (/ (+ 2.30753 (* x 0.27061)) (+ 1 (* x (+ 0.99229 (* x 0.04481))))) x))