Average Error: 0.0 → 0.0
Time: 2.4s
Precision: 64
\[\frac{2.30753 + x \cdot 0.27061000000000002}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)} - x\]
↓
\[\left(2.30753 + x \cdot 0.27061000000000002\right) \cdot \frac{1}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)} - x\]
\frac{2.30753 + x \cdot 0.27061000000000002}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)} - x
↓
\left(2.30753 + x \cdot 0.27061000000000002\right) \cdot \frac{1}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)} - x
double f(double x) {
        double r44835 = 2.30753;
        double r44836 = x;
        double r44837 = 0.27061;
        double r44838 = r44836 * r44837;
        double r44839 = r44835 + r44838;
        double r44840 = 1.0;
        double r44841 = 0.99229;
        double r44842 = 0.04481;
        double r44843 = r44836 * r44842;
        double r44844 = r44841 + r44843;
        double r44845 = r44836 * r44844;
        double r44846 = r44840 + r44845;
        double r44847 = r44839 / r44846;
        double r44848 = r44847 - r44836;
        return r44848;
}
↓
double f(double x) {
        double r44849 = 2.30753;
        double r44850 = x;
        double r44851 = 0.27061;
        double r44852 = r44850 * r44851;
        double r44853 = r44849 + r44852;
        double r44854 = 1.0;
        double r44855 = 1.0;
        double r44856 = 0.99229;
        double r44857 = 0.04481;
        double r44858 = r44850 * r44857;
        double r44859 = r44856 + r44858;
        double r44860 = r44850 * r44859;
        double r44861 = r44855 + r44860;
        double r44862 = r44854 / r44861;
        double r44863 = r44853 * r44862;
        double r44864 = r44863 - r44850;
        return r44864;
}

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

    \[\frac{2.30753 + x \cdot 0.27061000000000002}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)} - x\]
  2. Using strategy rm

  3. Applied div-inv0.0

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

  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2020047 
(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))