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 r70697 = 2.30753;
        double r70698 = x;
        double r70699 = 0.27061;
        double r70700 = r70698 * r70699;
        double r70701 = r70697 + r70700;
        double r70702 = 1.0;
        double r70703 = 0.99229;
        double r70704 = 0.04481;
        double r70705 = r70698 * r70704;
        double r70706 = r70703 + r70705;
        double r70707 = r70698 * r70706;
        double r70708 = r70702 + r70707;
        double r70709 = r70701 / r70708;
        double r70710 = r70709 - r70698;
        return r70710;
}
↓
double f(double x) {
        double r70711 = 2.30753;
        double r70712 = x;
        double r70713 = 0.27061;
        double r70714 = r70712 * r70713;
        double r70715 = r70711 + r70714;
        double r70716 = 1.0;
        double r70717 = 1.0;
        double r70718 = 0.99229;
        double r70719 = 0.04481;
        double r70720 = r70712 * r70719;
        double r70721 = r70718 + r70720;
        double r70722 = r70712 * r70721;
        double r70723 = r70717 + r70722;
        double r70724 = r70716 / r70723;
        double r70725 = r70715 * r70724;
        double r70726 = r70725 - r70712;
        return r70726;
}

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 2020027 
(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))