Average Error: 0.1 → 0.1
Time: 16.1s
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 r70601 = 1.0;
        double r70602 = x;
        double r70603 = 0.253;
        double r70604 = 0.12;
        double r70605 = r70602 * r70604;
        double r70606 = r70603 + r70605;
        double r70607 = r70602 * r70606;
        double r70608 = r70601 - r70607;
        return r70608;
}
↓
double f(double x) {
        double r70609 = 1.0;
        double r70610 = x;
        double r70611 = 0.253;
        double r70612 = 0.12;
        double r70613 = r70610 * r70612;
        double r70614 = r70611 + r70613;
        double r70615 = r70610 * r70614;
        double r70616 = r70609 - r70615;
        return r70616;
}

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 2019322 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, A"
  :precision binary64
  (- 1 (* x (+ 0.253 (* x 0.12)))))