Average Error: 0.1 → 0.1
Time: 15.3s
Precision: 64
\[1 - x \cdot \left(0.2530000000000000026645352591003756970167 + x \cdot 0.1199999999999999955591079014993738383055\right)\]
↓
\[1 - x \cdot \left(0.2530000000000000026645352591003756970167 + x \cdot 0.1199999999999999955591079014993738383055\right)\]
1 - x \cdot \left(0.2530000000000000026645352591003756970167 + x \cdot 0.1199999999999999955591079014993738383055\right)
↓
1 - x \cdot \left(0.2530000000000000026645352591003756970167 + x \cdot 0.1199999999999999955591079014993738383055\right)
double f(double x) {
        double r72636 = 1.0;
        double r72637 = x;
        double r72638 = 0.253;
        double r72639 = 0.12;
        double r72640 = r72637 * r72639;
        double r72641 = r72638 + r72640;
        double r72642 = r72637 * r72641;
        double r72643 = r72636 - r72642;
        return r72643;
}
↓
double f(double x) {
        double r72644 = 1.0;
        double r72645 = x;
        double r72646 = 0.253;
        double r72647 = 0.12;
        double r72648 = r72645 * r72647;
        double r72649 = r72646 + r72648;
        double r72650 = r72645 * r72649;
        double r72651 = r72644 - r72650;
        return r72651;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[1 - x \cdot \left(0.2530000000000000026645352591003756970167 + x \cdot 0.1199999999999999955591079014993738383055\right)\]

  2. Final simplification0.1

    \[\leadsto 1 - x \cdot \left(0.2530000000000000026645352591003756970167 + x \cdot 0.1199999999999999955591079014993738383055\right)\]

Reproduce

herbie shell --seed 2019326 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, A"
  :precision binary64
  (- 1 (* x (+ 0.253 (* x 0.12)))))