Average Error: 0.0 → 0.0
Time: 1.9s
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 r23128 = 1.0;
        double r23129 = x;
        double r23130 = r23129 * r23129;
        double r23131 = r23128 - r23130;
        double r23132 = -r23131;
        double r23133 = exp(r23132);
        return r23133;
}
↓
double f(double x) {
        double r23134 = 1.0;
        double r23135 = x;
        double r23136 = r23135 * r23135;
        double r23137 = r23134 - r23136;
        double r23138 = -r23137;
        double r23139 = exp(r23138);
        return r23139;
}

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 2020081 
(FPCore (x)
  :name "exp neg sub"
  :precision binary64
  (exp (- (- 1 (* x x)))))