Average Error: 0.0 → 0.0
Time: 9.5s
Precision: 64
\[x - \frac{2.30753 + x \cdot 0.27061000000000002}{1 + \left(0.992290000000000005 + x \cdot 0.044810000000000003\right) \cdot x}\]
↓
\[x - \frac{2.30753 + x \cdot 0.27061000000000002}{1 + \left(0.992290000000000005 + x \cdot 0.044810000000000003\right) \cdot x}\]
x - \frac{2.30753 + x \cdot 0.27061000000000002}{1 + \left(0.992290000000000005 + x \cdot 0.044810000000000003\right) \cdot x}
↓
x - \frac{2.30753 + x \cdot 0.27061000000000002}{1 + \left(0.992290000000000005 + x \cdot 0.044810000000000003\right) \cdot x}
double f(double x) {
        double r82084 = x;
        double r82085 = 2.30753;
        double r82086 = 0.27061;
        double r82087 = r82084 * r82086;
        double r82088 = r82085 + r82087;
        double r82089 = 1.0;
        double r82090 = 0.99229;
        double r82091 = 0.04481;
        double r82092 = r82084 * r82091;
        double r82093 = r82090 + r82092;
        double r82094 = r82093 * r82084;
        double r82095 = r82089 + r82094;
        double r82096 = r82088 / r82095;
        double r82097 = r82084 - r82096;
        return r82097;
}
↓
double f(double x) {
        double r82098 = x;
        double r82099 = 2.30753;
        double r82100 = 0.27061;
        double r82101 = r82098 * r82100;
        double r82102 = r82099 + r82101;
        double r82103 = 1.0;
        double r82104 = 0.99229;
        double r82105 = 0.04481;
        double r82106 = r82098 * r82105;
        double r82107 = r82104 + r82106;
        double r82108 = r82107 * r82098;
        double r82109 = r82103 + r82108;
        double r82110 = r82102 / r82109;
        double r82111 = r82098 - r82110;
        return r82111;
}

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

    \[x - \frac{2.30753 + x \cdot 0.27061000000000002}{1 + \left(0.992290000000000005 + x \cdot 0.044810000000000003\right) \cdot x}\]

  2. Final simplification0.0

    \[\leadsto x - \frac{2.30753 + x \cdot 0.27061000000000002}{1 + \left(0.992290000000000005 + x \cdot 0.044810000000000003\right) \cdot x}\]

Reproduce

herbie shell --seed 2020046 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, D"
  :precision binary64
  (- x (/ (+ 2.30753 (* x 0.27061)) (+ 1 (* (+ 0.99229 (* x 0.04481)) x)))))