Average Error: 0.0 → 0.0
Time: 2.0s
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 r56308 = 2.30753;
        double r56309 = x;
        double r56310 = 0.27061;
        double r56311 = r56309 * r56310;
        double r56312 = r56308 + r56311;
        double r56313 = 1.0;
        double r56314 = 0.99229;
        double r56315 = 0.04481;
        double r56316 = r56309 * r56315;
        double r56317 = r56314 + r56316;
        double r56318 = r56309 * r56317;
        double r56319 = r56313 + r56318;
        double r56320 = r56312 / r56319;
        double r56321 = r56320 - r56309;
        return r56321;
}
↓
double f(double x) {
        double r56322 = 2.30753;
        double r56323 = x;
        double r56324 = 0.27061;
        double r56325 = r56323 * r56324;
        double r56326 = r56322 + r56325;
        double r56327 = 1.0;
        double r56328 = 0.99229;
        double r56329 = 0.04481;
        double r56330 = r56323 * r56329;
        double r56331 = r56328 + r56330;
        double r56332 = r56323 * r56331;
        double r56333 = r56327 + r56332;
        double r56334 = r56326 / r56333;
        double r56335 = r56334 - r56323;
        return r56335;
}

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 2020036 
(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))