Average Error: 0.1 → 0.1
Time: 11.2s
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 r60366 = 1.0;
        double r60367 = x;
        double r60368 = 0.253;
        double r60369 = 0.12;
        double r60370 = r60367 * r60369;
        double r60371 = r60368 + r60370;
        double r60372 = r60367 * r60371;
        double r60373 = r60366 - r60372;
        return r60373;
}
↓
double f(double x) {
        double r60374 = 1.0;
        double r60375 = x;
        double r60376 = 0.253;
        double r60377 = 0.12;
        double r60378 = r60375 * r60377;
        double r60379 = r60376 + r60378;
        double r60380 = r60375 * r60379;
        double r60381 = r60374 - r60380;
        return r60381;
}

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 2019294 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, A"
  :precision binary64
  (- 1 (* x (+ 0.253 (* x 0.12)))))