Average Error: 0.1 → 0.1
Time: 21.5s
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 r80493 = 1.0;
        double r80494 = x;
        double r80495 = 0.253;
        double r80496 = 0.12;
        double r80497 = r80494 * r80496;
        double r80498 = r80495 + r80497;
        double r80499 = r80494 * r80498;
        double r80500 = r80493 - r80499;
        return r80500;
}
↓
double f(double x) {
        double r80501 = 1.0;
        double r80502 = x;
        double r80503 = 0.253;
        double r80504 = 0.12;
        double r80505 = r80502 * r80504;
        double r80506 = r80503 + r80505;
        double r80507 = r80502 * r80506;
        double r80508 = r80501 - r80507;
        return r80508;
}

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 2019304 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, A"
  :precision binary64
  (- 1 (* x (+ 0.253 (* x 0.12)))))