Average Error: 0.0 → 0.0
Time: 2.0s
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 r55014 = 2.30753;
        double r55015 = x;
        double r55016 = 0.27061;
        double r55017 = r55015 * r55016;
        double r55018 = r55014 + r55017;
        double r55019 = 1.0;
        double r55020 = 0.99229;
        double r55021 = 0.04481;
        double r55022 = r55015 * r55021;
        double r55023 = r55020 + r55022;
        double r55024 = r55015 * r55023;
        double r55025 = r55019 + r55024;
        double r55026 = r55018 / r55025;
        double r55027 = r55026 - r55015;
        return r55027;
}
↓
double f(double x) {
        double r55028 = 2.30753;
        double r55029 = x;
        double r55030 = 0.27061;
        double r55031 = r55029 * r55030;
        double r55032 = r55028 + r55031;
        double r55033 = 1.0;
        double r55034 = 0.99229;
        double r55035 = 0.04481;
        double r55036 = r55029 * r55035;
        double r55037 = r55034 + r55036;
        double r55038 = r55029 * r55037;
        double r55039 = r55033 + r55038;
        double r55040 = r55032 / r55039;
        double r55041 = r55040 - r55029;
        return r55041;
}

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 2020046 
(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))