Average Error: 0.0 → 0.0
Time: 2.8s
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 r27149 = 1.0;
        double r27150 = x;
        double r27151 = r27150 * r27150;
        double r27152 = r27149 - r27151;
        double r27153 = -r27152;
        double r27154 = exp(r27153);
        return r27154;
}
↓
double f(double x) {
        double r27155 = 1.0;
        double r27156 = x;
        double r27157 = r27156 * r27156;
        double r27158 = r27155 - r27157;
        double r27159 = -r27158;
        double r27160 = exp(r27159);
        return r27160;
}

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 2019352 
(FPCore (x)
  :name "exp neg sub"
  :precision binary64
  (exp (- (- 1 (* x x)))))