Average Error: 0.0 → 0.0
Time: 2.1s
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 r143674 = 2.30753;
        double r143675 = x;
        double r143676 = 0.27061;
        double r143677 = r143675 * r143676;
        double r143678 = r143674 + r143677;
        double r143679 = 1.0;
        double r143680 = 0.99229;
        double r143681 = 0.04481;
        double r143682 = r143675 * r143681;
        double r143683 = r143680 + r143682;
        double r143684 = r143675 * r143683;
        double r143685 = r143679 + r143684;
        double r143686 = r143678 / r143685;
        double r143687 = r143686 - r143675;
        return r143687;
}
↓
double f(double x) {
        double r143688 = 2.30753;
        double r143689 = x;
        double r143690 = 0.27061;
        double r143691 = r143689 * r143690;
        double r143692 = r143688 + r143691;
        double r143693 = 1.0;
        double r143694 = 0.99229;
        double r143695 = 0.04481;
        double r143696 = r143689 * r143695;
        double r143697 = r143694 + r143696;
        double r143698 = r143689 * r143697;
        double r143699 = r143693 + r143698;
        double r143700 = r143692 / r143699;
        double r143701 = r143700 - r143689;
        return r143701;
}

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. 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 2020100 
(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))