Average Error: 0.0 → 0.0
Time: 10.8s
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 r797238 = 1.0;
        double r797239 = x;
        double r797240 = r797239 * r797239;
        double r797241 = r797238 - r797240;
        double r797242 = -r797241;
        double r797243 = exp(r797242);
        return r797243;
}
↓
double f(double x) {
        double r797244 = 1.0;
        double r797245 = x;
        double r797246 = r797245 * r797245;
        double r797247 = r797244 - r797246;
        double r797248 = -r797247;
        double r797249 = exp(r797248);
        return r797249;
}

Error

Bits error versus x

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Results

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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 2019143 +o rules:numerics
(FPCore (x)
  :name "exp neg sub"
  (exp (- (- 1 (* x x)))))