Average Error: 0.1 → 0.1
Time: 14.8s
Precision: 64
\[1 - x \cdot \left(0.2530000000000000026645352591003756970167 + x \cdot 0.1199999999999999955591079014993738383055\right)\]
↓
\[1 - \left(0.2530000000000000026645352591003756970167 + 0.1199999999999999955591079014993738383055 \cdot x\right) \cdot x\]
1 - x \cdot \left(0.2530000000000000026645352591003756970167 + x \cdot 0.1199999999999999955591079014993738383055\right)
↓
1 - \left(0.2530000000000000026645352591003756970167 + 0.1199999999999999955591079014993738383055 \cdot x\right) \cdot x
double f(double x) {
        double r4557354 = 1.0;
        double r4557355 = x;
        double r4557356 = 0.253;
        double r4557357 = 0.12;
        double r4557358 = r4557355 * r4557357;
        double r4557359 = r4557356 + r4557358;
        double r4557360 = r4557355 * r4557359;
        double r4557361 = r4557354 - r4557360;
        return r4557361;
}
↓
double f(double x) {
        double r4557362 = 1.0;
        double r4557363 = 0.253;
        double r4557364 = 0.12;
        double r4557365 = x;
        double r4557366 = r4557364 * r4557365;
        double r4557367 = r4557363 + r4557366;
        double r4557368 = r4557367 * r4557365;
        double r4557369 = r4557362 - r4557368;
        return r4557369;
}

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

    \[\leadsto 1 - \left(0.2530000000000000026645352591003756970167 + 0.1199999999999999955591079014993738383055 \cdot x\right) \cdot x\]

Reproduce

herbie shell --seed 2019171 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, A"
  (- 1.0 (* x (+ 0.253 (* x 0.12)))))