Average Error: 0.0 → 0.0
Time: 2.6s
Precision: 64
\[\left(x \cdot x\right) \cdot 2.0 - 1.0\]
↓
\[2.0 \cdot \left(x \cdot x\right) - 1.0\]
\left(x \cdot x\right) \cdot 2.0 - 1.0
↓
2.0 \cdot \left(x \cdot x\right) - 1.0
double f(double x) {
        double r2497575 = x;
        double r2497576 = r2497575 * r2497575;
        double r2497577 = 2.0;
        double r2497578 = r2497576 * r2497577;
        double r2497579 = 1.0;
        double r2497580 = r2497578 - r2497579;
        return r2497580;
}
↓
double f(double x) {
        double r2497581 = 2.0;
        double r2497582 = x;
        double r2497583 = r2497582 * r2497582;
        double r2497584 = r2497581 * r2497583;
        double r2497585 = 1.0;
        double r2497586 = r2497584 - r2497585;
        return r2497586;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\left(x \cdot x\right) \cdot 2.0 - 1.0\]

  2. Final simplification0.0

    \[\leadsto 2.0 \cdot \left(x \cdot x\right) - 1.0\]

Reproduce

herbie shell --seed 2019163 
(FPCore (x)
  :name "Numeric.SpecFunctions:logGammaCorrection from math-functions-0.1.5.2"
  (- (* (* x x) 2.0) 1.0))