Average Error: 0.1 → 0.1
Time: 13.9s
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 r77187 = 1.0;
        double r77188 = x;
        double r77189 = 0.253;
        double r77190 = 0.12;
        double r77191 = r77188 * r77190;
        double r77192 = r77189 + r77191;
        double r77193 = r77188 * r77192;
        double r77194 = r77187 - r77193;
        return r77194;
}
↓
double f(double x) {
        double r77195 = 1.0;
        double r77196 = x;
        double r77197 = 0.253;
        double r77198 = 0.12;
        double r77199 = r77196 * r77198;
        double r77200 = r77197 + r77199;
        double r77201 = r77196 * r77200;
        double r77202 = r77195 - r77201;
        return r77202;
}

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 2019306 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, A"
  :precision binary64
  (- 1 (* x (+ 0.253 (* x 0.12)))))