Average Error: 0.1 → 0.1
Time: 5.3s
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 r77552 = 1.0;
        double r77553 = x;
        double r77554 = 0.253;
        double r77555 = 0.12;
        double r77556 = r77553 * r77555;
        double r77557 = r77554 + r77556;
        double r77558 = r77553 * r77557;
        double r77559 = r77552 - r77558;
        return r77559;
}
↓
double f(double x) {
        double r77560 = 1.0;
        double r77561 = x;
        double r77562 = 0.253;
        double r77563 = 0.12;
        double r77564 = r77561 * r77563;
        double r77565 = r77562 + r77564;
        double r77566 = r77561 * r77565;
        double r77567 = r77560 - r77566;
        return r77567;
}

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 2019346 +o rules:numerics
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, A"
  :precision binary64
  (- 1 (* x (+ 0.253 (* x 0.12)))))