Average Error: 0.0 → 0.0
Time: 5.7s
Precision: 64
\[e^{-\left(1 - x \cdot x\right)}\]
↓
\[e^{x \cdot x - 1}\]
e^{-\left(1 - x \cdot x\right)}
↓
e^{x \cdot x - 1}
double f(double x) {
        double r12700 = 1.0;
        double r12701 = x;
        double r12702 = r12701 * r12701;
        double r12703 = r12700 - r12702;
        double r12704 = -r12703;
        double r12705 = exp(r12704);
        return r12705;
}
↓
double f(double x) {
        double r12706 = x;
        double r12707 = r12706 * r12706;
        double r12708 = 1.0;
        double r12709 = r12707 - r12708;
        double r12710 = exp(r12709);
        return r12710;
}

Error

Bits error versus x

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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. Simplified0.0

    \[\leadsto \color{blue}{e^{x \cdot x - 1}}\]

  3. Final simplification0.0

    \[\leadsto e^{x \cdot x - 1}\]

Reproduce

herbie shell --seed 2019208 
(FPCore (x)
  :name "exp neg sub"
  :precision binary64
  (exp (- (- 1 (* x x)))))