Average Error: 0.0 → 0.0
Time: 2.5s
Precision: 64
\[e^{-\left(1 - x \cdot x\right)}\]
↓
\[e^{-\left(1 - x \cdot x\right)}\]
e^{-\left(1 - x \cdot x\right)}
↓
e^{-\left(1 - x \cdot x\right)}
double f(double x) {
        double r26997 = 1.0;
        double r26998 = x;
        double r26999 = r26998 * r26998;
        double r27000 = r26997 - r26999;
        double r27001 = -r27000;
        double r27002 = exp(r27001);
        return r27002;
}
↓
double f(double x) {
        double r27003 = 1.0;
        double r27004 = x;
        double r27005 = r27004 * r27004;
        double r27006 = r27003 - r27005;
        double r27007 = -r27006;
        double r27008 = exp(r27007);
        return r27008;
}

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

    \[e^{-\left(1 - x \cdot x\right)}\]

  2. Final simplification0.0

    \[\leadsto e^{-\left(1 - x \cdot x\right)}\]

Reproduce

herbie shell --seed 2020046 
(FPCore (x)
  :name "exp neg sub"
  :precision binary64
  (exp (- (- 1 (* x x)))))