Average Error: 0.1 → 0.1
Time: 4.8s
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 r97383 = 1.0;
        double r97384 = x;
        double r97385 = 0.253;
        double r97386 = 0.12;
        double r97387 = r97384 * r97386;
        double r97388 = r97385 + r97387;
        double r97389 = r97384 * r97388;
        double r97390 = r97383 - r97389;
        return r97390;
}
↓
double f(double x) {
        double r97391 = 1.0;
        double r97392 = x;
        double r97393 = 0.253;
        double r97394 = 0.12;
        double r97395 = r97392 * r97394;
        double r97396 = r97393 + r97395;
        double r97397 = r97392 * r97396;
        double r97398 = r97391 - r97397;
        return r97398;
}

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)))))