Average Error: 0.0 → 0.0
Time: 1.4s
Precision: 64
\[\frac{2.30753 + x \cdot 0.27061000000000002}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)} - x\]
↓
\[\left(2.30753 + x \cdot 0.27061000000000002\right) \cdot \frac{1}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)} - x\]
\frac{2.30753 + x \cdot 0.27061000000000002}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)} - x
↓
\left(2.30753 + x \cdot 0.27061000000000002\right) \cdot \frac{1}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)} - x
double f(double x) {
        double r62586 = 2.30753;
        double r62587 = x;
        double r62588 = 0.27061;
        double r62589 = r62587 * r62588;
        double r62590 = r62586 + r62589;
        double r62591 = 1.0;
        double r62592 = 0.99229;
        double r62593 = 0.04481;
        double r62594 = r62587 * r62593;
        double r62595 = r62592 + r62594;
        double r62596 = r62587 * r62595;
        double r62597 = r62591 + r62596;
        double r62598 = r62590 / r62597;
        double r62599 = r62598 - r62587;
        return r62599;
}
↓
double f(double x) {
        double r62600 = 2.30753;
        double r62601 = x;
        double r62602 = 0.27061;
        double r62603 = r62601 * r62602;
        double r62604 = r62600 + r62603;
        double r62605 = 1.0;
        double r62606 = 1.0;
        double r62607 = 0.99229;
        double r62608 = 0.04481;
        double r62609 = r62601 * r62608;
        double r62610 = r62607 + r62609;
        double r62611 = r62601 * r62610;
        double r62612 = r62606 + r62611;
        double r62613 = r62605 / r62612;
        double r62614 = r62604 * r62613;
        double r62615 = r62614 - r62601;
        return r62615;
}

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. Using strategy rm

  3. Applied div-inv0.0

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

  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2020025 
(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))