Average Error: 0.0 → 0.0
Time: 2.4s
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 r52634 = 2.30753;
        double r52635 = x;
        double r52636 = 0.27061;
        double r52637 = r52635 * r52636;
        double r52638 = r52634 + r52637;
        double r52639 = 1.0;
        double r52640 = 0.99229;
        double r52641 = 0.04481;
        double r52642 = r52635 * r52641;
        double r52643 = r52640 + r52642;
        double r52644 = r52635 * r52643;
        double r52645 = r52639 + r52644;
        double r52646 = r52638 / r52645;
        double r52647 = r52646 - r52635;
        return r52647;
}
↓
double f(double x) {
        double r52648 = 2.30753;
        double r52649 = x;
        double r52650 = 0.27061;
        double r52651 = r52649 * r52650;
        double r52652 = r52648 + r52651;
        double r52653 = 1.0;
        double r52654 = 1.0;
        double r52655 = 0.99229;
        double r52656 = 0.04481;
        double r52657 = r52649 * r52656;
        double r52658 = r52655 + r52657;
        double r52659 = r52649 * r52658;
        double r52660 = r52654 + r52659;
        double r52661 = r52653 / r52660;
        double r52662 = r52652 * r52661;
        double r52663 = r52662 - r52649;
        return r52663;
}

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 2020021 
(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))