Average Error: 0.0 → 0.0
Time: 2.6s
Precision: 64
\[\frac{2.30753 + x \cdot 0.27061000000000002}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)} - x\]
↓
\[\frac{1}{\frac{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)}{2.30753 + x \cdot 0.27061000000000002}} - x\]
\frac{2.30753 + x \cdot 0.27061000000000002}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)} - x
↓
\frac{1}{\frac{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)}{2.30753 + x \cdot 0.27061000000000002}} - x
double f(double x) {
        double r54532 = 2.30753;
        double r54533 = x;
        double r54534 = 0.27061;
        double r54535 = r54533 * r54534;
        double r54536 = r54532 + r54535;
        double r54537 = 1.0;
        double r54538 = 0.99229;
        double r54539 = 0.04481;
        double r54540 = r54533 * r54539;
        double r54541 = r54538 + r54540;
        double r54542 = r54533 * r54541;
        double r54543 = r54537 + r54542;
        double r54544 = r54536 / r54543;
        double r54545 = r54544 - r54533;
        return r54545;
}
↓
double f(double x) {
        double r54546 = 1.0;
        double r54547 = 1.0;
        double r54548 = x;
        double r54549 = 0.99229;
        double r54550 = 0.04481;
        double r54551 = r54548 * r54550;
        double r54552 = r54549 + r54551;
        double r54553 = r54548 * r54552;
        double r54554 = r54547 + r54553;
        double r54555 = 2.30753;
        double r54556 = 0.27061;
        double r54557 = r54548 * r54556;
        double r54558 = r54555 + r54557;
        double r54559 = r54554 / r54558;
        double r54560 = r54546 / r54559;
        double r54561 = r54560 - r54548;
        return r54561;
}

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 clear-num0.0

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

  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2020089 
(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))