Average Error: 0.0 → 0.0
Time: 4.9s
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 r36300 = 2.30753;
        double r36301 = x;
        double r36302 = 0.27061;
        double r36303 = r36301 * r36302;
        double r36304 = r36300 + r36303;
        double r36305 = 1.0;
        double r36306 = 0.99229;
        double r36307 = 0.04481;
        double r36308 = r36301 * r36307;
        double r36309 = r36306 + r36308;
        double r36310 = r36301 * r36309;
        double r36311 = r36305 + r36310;
        double r36312 = r36304 / r36311;
        double r36313 = r36312 - r36301;
        return r36313;
}
↓
double f(double x) {
        double r36314 = 2.30753;
        double r36315 = x;
        double r36316 = 0.27061;
        double r36317 = r36315 * r36316;
        double r36318 = r36314 + r36317;
        double r36319 = 1.0;
        double r36320 = 0.99229;
        double r36321 = 0.04481;
        double r36322 = r36315 * r36321;
        double r36323 = r36320 + r36322;
        double r36324 = r36315 * r36323;
        double r36325 = r36319 + r36324;
        double r36326 = r36318 / r36325;
        double r36327 = r36326 - r36315;
        return r36327;
}

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 2019199 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, C"
  (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))