Average Error: 0.0 → 0.0
Time: 10.8s
Precision: 64
\[\frac{2.30753 + x \cdot 0.27061}{1.0 + x \cdot \left(0.99229 + x \cdot 0.04481\right)} - x\]
↓
\[\frac{0.27061 \cdot x + 2.30753}{x \cdot \left(x \cdot 0.04481 + 0.99229\right) + 1.0} - x\]
\frac{2.30753 + x \cdot 0.27061}{1.0 + x \cdot \left(0.99229 + x \cdot 0.04481\right)} - x
↓
\frac{0.27061 \cdot x + 2.30753}{x \cdot \left(x \cdot 0.04481 + 0.99229\right) + 1.0} - x
double f(double x) {
        double r2685239 = 2.30753;
        double r2685240 = x;
        double r2685241 = 0.27061;
        double r2685242 = r2685240 * r2685241;
        double r2685243 = r2685239 + r2685242;
        double r2685244 = 1.0;
        double r2685245 = 0.99229;
        double r2685246 = 0.04481;
        double r2685247 = r2685240 * r2685246;
        double r2685248 = r2685245 + r2685247;
        double r2685249 = r2685240 * r2685248;
        double r2685250 = r2685244 + r2685249;
        double r2685251 = r2685243 / r2685250;
        double r2685252 = r2685251 - r2685240;
        return r2685252;
}
↓
double f(double x) {
        double r2685253 = 0.27061;
        double r2685254 = x;
        double r2685255 = r2685253 * r2685254;
        double r2685256 = 2.30753;
        double r2685257 = r2685255 + r2685256;
        double r2685258 = 0.04481;
        double r2685259 = r2685254 * r2685258;
        double r2685260 = 0.99229;
        double r2685261 = r2685259 + r2685260;
        double r2685262 = r2685254 * r2685261;
        double r2685263 = 1.0;
        double r2685264 = r2685262 + r2685263;
        double r2685265 = r2685257 / r2685264;
        double r2685266 = r2685265 - r2685254;
        return r2685266;
}

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

    \[\frac{2.30753 + x \cdot 0.27061}{1.0 + x \cdot \left(0.99229 + x \cdot 0.04481\right)} - x\]

  2. Final simplification0.0

    \[\leadsto \frac{0.27061 \cdot x + 2.30753}{x \cdot \left(x \cdot 0.04481 + 0.99229\right) + 1.0} - x\]

Reproduce

herbie shell --seed 2019165 
(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))