Average Error: 0.0 → 0.0
Time: 11.0s
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 r29635 = 1.0;
        double r29636 = x;
        double r29637 = r29636 * r29636;
        double r29638 = r29635 - r29637;
        double r29639 = -r29638;
        double r29640 = exp(r29639);
        return r29640;
}
↓
double f(double x) {
        double r29641 = x;
        double r29642 = r29641 * r29641;
        double r29643 = 1.0;
        double r29644 = r29642 - r29643;
        double r29645 = exp(r29644);
        return r29645;
}

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 2020042 
(FPCore (x)
  :name "exp neg sub"
  :precision binary64
  (exp (- (- 1 (* x x)))))