Average Error: 0.0 → 0.0
Time: 4.5s
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 r59072 = 2.30753;
        double r59073 = x;
        double r59074 = 0.27061;
        double r59075 = r59073 * r59074;
        double r59076 = r59072 + r59075;
        double r59077 = 1.0;
        double r59078 = 0.99229;
        double r59079 = 0.04481;
        double r59080 = r59073 * r59079;
        double r59081 = r59078 + r59080;
        double r59082 = r59073 * r59081;
        double r59083 = r59077 + r59082;
        double r59084 = r59076 / r59083;
        double r59085 = r59084 - r59073;
        return r59085;
}
↓
double f(double x) {
        double r59086 = 2.30753;
        double r59087 = x;
        double r59088 = 0.27061;
        double r59089 = r59087 * r59088;
        double r59090 = r59086 + r59089;
        double r59091 = 1.0;
        double r59092 = 0.99229;
        double r59093 = 0.04481;
        double r59094 = r59087 * r59093;
        double r59095 = r59092 + r59094;
        double r59096 = r59087 * r59095;
        double r59097 = r59091 + r59096;
        double r59098 = r59090 / r59097;
        double r59099 = r59098 - r59087;
        return r59099;
}

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 2020046 
(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))