Average Error: 0.1 → 0.1
Time: 10.7s
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 r76464 = 1.0;
        double r76465 = x;
        double r76466 = 0.253;
        double r76467 = 0.12;
        double r76468 = r76465 * r76467;
        double r76469 = r76466 + r76468;
        double r76470 = r76465 * r76469;
        double r76471 = r76464 - r76470;
        return r76471;
}
↓
double f(double x) {
        double r76472 = 1.0;
        double r76473 = x;
        double r76474 = 0.253;
        double r76475 = 0.12;
        double r76476 = r76473 * r76475;
        double r76477 = r76474 + r76476;
        double r76478 = r76473 * r76477;
        double r76479 = r76472 - r76478;
        return r76479;
}

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 2019297 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, A"
  :precision binary64
  (- 1 (* x (+ 0.253 (* x 0.12)))))