Average Error: 0.0 → 0.0
Time: 9.1s
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 r1024163 = 1.0;
        double r1024164 = x;
        double r1024165 = r1024164 * r1024164;
        double r1024166 = r1024163 - r1024165;
        double r1024167 = -r1024166;
        double r1024168 = exp(r1024167);
        return r1024168;
}
↓
double f(double x) {
        double r1024169 = 1.0;
        double r1024170 = x;
        double r1024171 = r1024170 * r1024170;
        double r1024172 = r1024169 - r1024171;
        double r1024173 = -r1024172;
        double r1024174 = exp(r1024173);
        return r1024174;
}

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 2019143 
(FPCore (x)
  :name "exp neg sub"
  (exp (- (- 1 (* x x)))))