Average Error: 0.0 → 0.0
Time: 3.2s
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 r19992 = 1.0;
        double r19993 = x;
        double r19994 = r19993 * r19993;
        double r19995 = r19992 - r19994;
        double r19996 = -r19995;
        double r19997 = exp(r19996);
        return r19997;
}
↓
double f(double x) {
        double r19998 = 1.0;
        double r19999 = x;
        double r20000 = r19999 * r19999;
        double r20001 = r19998 - r20000;
        double r20002 = -r20001;
        double r20003 = exp(r20002);
        return r20003;
}

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 2019298 
(FPCore (x)
  :name "exp neg sub"
  :precision binary64
  (exp (- (- 1 (* x x)))))