Average Error: 0.0 → 0.0
Time: 3.1s
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 r49225 = 2.30753;
        double r49226 = x;
        double r49227 = 0.27061;
        double r49228 = r49226 * r49227;
        double r49229 = r49225 + r49228;
        double r49230 = 1.0;
        double r49231 = 0.99229;
        double r49232 = 0.04481;
        double r49233 = r49226 * r49232;
        double r49234 = r49231 + r49233;
        double r49235 = r49226 * r49234;
        double r49236 = r49230 + r49235;
        double r49237 = r49229 / r49236;
        double r49238 = r49237 - r49226;
        return r49238;
}
↓
double f(double x) {
        double r49239 = 2.30753;
        double r49240 = x;
        double r49241 = 0.27061;
        double r49242 = r49240 * r49241;
        double r49243 = r49239 + r49242;
        double r49244 = 1.0;
        double r49245 = 0.99229;
        double r49246 = 0.04481;
        double r49247 = r49240 * r49246;
        double r49248 = r49245 + r49247;
        double r49249 = r49240 * r49248;
        double r49250 = r49244 + r49249;
        double r49251 = r49243 / r49250;
        double r49252 = r49251 - r49240;
        return r49252;
}

Error

Bits error versus x

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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 2020083 
(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))