Average Error: 0.0 → 0.0
Time: 344.0ms
Precision: 64
\[x \cdot x + 1\]
↓
\[x \cdot x + 1\]
x \cdot x + 1
↓
x \cdot x + 1
double f(double x) {
        double r131780 = x;
        double r131781 = r131780 * r131780;
        double r131782 = 1.0;
        double r131783 = r131781 + r131782;
        return r131783;
}
↓
double f(double x) {
        double r131784 = x;
        double r131785 = r131784 * r131784;
        double r131786 = 1.0;
        double r131787 = r131785 + r131786;
        return r131787;
}

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

    \[x \cdot x + 1\]

  2. Final simplification0.0

    \[\leadsto x \cdot x + 1\]

Reproduce

herbie shell --seed 2020060 +o rules:numerics
(FPCore (x)
  :name "Graphics.Rasterific.Shading:$sradialGradientWithFocusShader from Rasterific-0.6.1, A"
  :precision binary64
  (+ (* x x) 1))