Average Error: 0.0 → 0.0
Time: 1.9s
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 r51775 = 2.30753;
        double r51776 = x;
        double r51777 = 0.27061;
        double r51778 = r51776 * r51777;
        double r51779 = r51775 + r51778;
        double r51780 = 1.0;
        double r51781 = 0.99229;
        double r51782 = 0.04481;
        double r51783 = r51776 * r51782;
        double r51784 = r51781 + r51783;
        double r51785 = r51776 * r51784;
        double r51786 = r51780 + r51785;
        double r51787 = r51779 / r51786;
        double r51788 = r51787 - r51776;
        return r51788;
}
↓
double f(double x) {
        double r51789 = 2.30753;
        double r51790 = x;
        double r51791 = 0.27061;
        double r51792 = r51790 * r51791;
        double r51793 = r51789 + r51792;
        double r51794 = 1.0;
        double r51795 = 0.99229;
        double r51796 = 0.04481;
        double r51797 = r51790 * r51796;
        double r51798 = r51795 + r51797;
        double r51799 = r51790 * r51798;
        double r51800 = r51794 + r51799;
        double r51801 = r51793 / r51800;
        double r51802 = r51801 - r51790;
        return r51802;
}

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 +o rules:numerics
(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))