Average Error: 0.0 → 0.0
Time: 1.9s
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 r57595 = 2.30753;
        double r57596 = x;
        double r57597 = 0.27061;
        double r57598 = r57596 * r57597;
        double r57599 = r57595 + r57598;
        double r57600 = 1.0;
        double r57601 = 0.99229;
        double r57602 = 0.04481;
        double r57603 = r57596 * r57602;
        double r57604 = r57601 + r57603;
        double r57605 = r57596 * r57604;
        double r57606 = r57600 + r57605;
        double r57607 = r57599 / r57606;
        double r57608 = r57607 - r57596;
        return r57608;
}
↓
double f(double x) {
        double r57609 = 2.30753;
        double r57610 = x;
        double r57611 = 0.27061;
        double r57612 = r57610 * r57611;
        double r57613 = r57609 + r57612;
        double r57614 = 1.0;
        double r57615 = 0.99229;
        double r57616 = 0.04481;
        double r57617 = r57610 * r57616;
        double r57618 = r57615 + r57617;
        double r57619 = r57610 * r57618;
        double r57620 = r57614 + r57619;
        double r57621 = r57613 / r57620;
        double r57622 = r57621 - r57610;
        return r57622;
}

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 2020018 +o rules:numerics
(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))