Average Error: 0.0 → 0.0
Time: 2.7s
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 r61785 = 2.30753;
        double r61786 = x;
        double r61787 = 0.27061;
        double r61788 = r61786 * r61787;
        double r61789 = r61785 + r61788;
        double r61790 = 1.0;
        double r61791 = 0.99229;
        double r61792 = 0.04481;
        double r61793 = r61786 * r61792;
        double r61794 = r61791 + r61793;
        double r61795 = r61786 * r61794;
        double r61796 = r61790 + r61795;
        double r61797 = r61789 / r61796;
        double r61798 = r61797 - r61786;
        return r61798;
}
↓
double f(double x) {
        double r61799 = 2.30753;
        double r61800 = x;
        double r61801 = 0.27061;
        double r61802 = r61800 * r61801;
        double r61803 = r61799 + r61802;
        double r61804 = 1.0;
        double r61805 = 1.0;
        double r61806 = 0.99229;
        double r61807 = 0.04481;
        double r61808 = r61800 * r61807;
        double r61809 = r61806 + r61808;
        double r61810 = r61800 * r61809;
        double r61811 = r61805 + r61810;
        double r61812 = r61804 / r61811;
        double r61813 = r61803 * r61812;
        double r61814 = r61813 - r61800;
        return r61814;
}

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 2020024 
(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))