Average Error: 0.0 → 0.0
Time: 2.6s
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 r150149 = 2.30753;
        double r150150 = x;
        double r150151 = 0.27061;
        double r150152 = r150150 * r150151;
        double r150153 = r150149 + r150152;
        double r150154 = 1.0;
        double r150155 = 0.99229;
        double r150156 = 0.04481;
        double r150157 = r150150 * r150156;
        double r150158 = r150155 + r150157;
        double r150159 = r150150 * r150158;
        double r150160 = r150154 + r150159;
        double r150161 = r150153 / r150160;
        double r150162 = r150161 - r150150;
        return r150162;
}
↓
double f(double x) {
        double r150163 = 2.30753;
        double r150164 = x;
        double r150165 = 0.27061;
        double r150166 = r150164 * r150165;
        double r150167 = r150163 + r150166;
        double r150168 = 1.0;
        double r150169 = 0.99229;
        double r150170 = 0.04481;
        double r150171 = r150164 * r150170;
        double r150172 = r150169 + r150171;
        double r150173 = r150164 * r150172;
        double r150174 = r150168 + r150173;
        double r150175 = r150167 / r150174;
        double r150176 = r150175 - r150164;
        return r150176;
}

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 +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))