Average Error: 0.1 → 0.1
Time: 4.0s
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 r87446 = 1.0;
        double r87447 = x;
        double r87448 = 0.253;
        double r87449 = 0.12;
        double r87450 = r87447 * r87449;
        double r87451 = r87448 + r87450;
        double r87452 = r87447 * r87451;
        double r87453 = r87446 - r87452;
        return r87453;
}
↓
double f(double x) {
        double r87454 = 1.0;
        double r87455 = x;
        double r87456 = 0.253;
        double r87457 = 0.12;
        double r87458 = r87455 * r87457;
        double r87459 = r87456 + r87458;
        double r87460 = r87455 * r87459;
        double r87461 = r87454 - r87460;
        return r87461;
}

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 2019352 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, A"
  :precision binary64
  (- 1 (* x (+ 0.253 (* x 0.12)))))