Average Error: 0.0 → 0.0
Time: 1.8s
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 r65295 = 2.30753;
        double r65296 = x;
        double r65297 = 0.27061;
        double r65298 = r65296 * r65297;
        double r65299 = r65295 + r65298;
        double r65300 = 1.0;
        double r65301 = 0.99229;
        double r65302 = 0.04481;
        double r65303 = r65296 * r65302;
        double r65304 = r65301 + r65303;
        double r65305 = r65296 * r65304;
        double r65306 = r65300 + r65305;
        double r65307 = r65299 / r65306;
        double r65308 = r65307 - r65296;
        return r65308;
}
↓
double f(double x) {
        double r65309 = 2.30753;
        double r65310 = x;
        double r65311 = 0.27061;
        double r65312 = r65310 * r65311;
        double r65313 = r65309 + r65312;
        double r65314 = 1.0;
        double r65315 = 0.99229;
        double r65316 = 0.04481;
        double r65317 = r65310 * r65316;
        double r65318 = r65315 + r65317;
        double r65319 = r65310 * r65318;
        double r65320 = r65314 + r65319;
        double r65321 = r65313 / r65320;
        double r65322 = r65321 - r65310;
        return r65322;
}

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 2020018 
(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))