Average Error: 0.0 → 0.0
Time: 23.2s
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 r2575221 = 1.0;
        double r2575222 = x;
        double r2575223 = r2575222 * r2575222;
        double r2575224 = r2575221 - r2575223;
        double r2575225 = -r2575224;
        double r2575226 = exp(r2575225);
        return r2575226;
}
↓
double f(double x) {
        double r2575227 = 1.0;
        double r2575228 = x;
        double r2575229 = r2575228 * r2575228;
        double r2575230 = r2575227 - r2575229;
        double r2575231 = -r2575230;
        double r2575232 = exp(r2575231);
        return r2575232;
}

Error

Bits error versus x

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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 2019112 
(FPCore (x)
  :name "exp neg sub"
  (exp (- (- 1 (* x x)))))