Average Error: 0.0 → 0.0
Time: 3.6s
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 r74795 = 2.30753;
        double r74796 = x;
        double r74797 = 0.27061;
        double r74798 = r74796 * r74797;
        double r74799 = r74795 + r74798;
        double r74800 = 1.0;
        double r74801 = 0.99229;
        double r74802 = 0.04481;
        double r74803 = r74796 * r74802;
        double r74804 = r74801 + r74803;
        double r74805 = r74796 * r74804;
        double r74806 = r74800 + r74805;
        double r74807 = r74799 / r74806;
        double r74808 = r74807 - r74796;
        return r74808;
}
↓
double f(double x) {
        double r74809 = 2.30753;
        double r74810 = x;
        double r74811 = 0.27061;
        double r74812 = r74810 * r74811;
        double r74813 = r74809 + r74812;
        double r74814 = 1.0;
        double r74815 = 0.99229;
        double r74816 = 0.04481;
        double r74817 = r74810 * r74816;
        double r74818 = r74815 + r74817;
        double r74819 = r74810 * r74818;
        double r74820 = r74814 + r74819;
        double r74821 = r74813 / r74820;
        double r74822 = r74821 - r74810;
        return r74822;
}

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 pow10.0

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

  4. 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 2020049 
(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))