Average Error: 0.0 → 0.0
Time: 19.0s
Precision: 64
\[e^{-\left(1 - x \cdot x\right)}\]
↓
\[{\left(e^{1 + x}\right)}^{\left(x - 1\right)}\]
e^{-\left(1 - x \cdot x\right)}
↓
{\left(e^{1 + x}\right)}^{\left(x - 1\right)}
double f(double x) {
        double r1414001 = 1.0;
        double r1414002 = x;
        double r1414003 = r1414002 * r1414002;
        double r1414004 = r1414001 - r1414003;
        double r1414005 = -r1414004;
        double r1414006 = exp(r1414005);
        return r1414006;
}
↓
double f(double x) {
        double r1414007 = 1.0;
        double r1414008 = x;
        double r1414009 = r1414007 + r1414008;
        double r1414010 = exp(r1414009);
        double r1414011 = r1414008 - r1414007;
        double r1414012 = pow(r1414010, r1414011);
        return r1414012;
}

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. Using strategy rm

  4. Applied difference-of-sqr--10.0

    \[\leadsto e^{\color{blue}{\left(x + 1\right) \cdot \left(x - 1\right)}}\]

  5. Applied exp-prod0.0

    \[\leadsto \color{blue}{{\left(e^{x + 1}\right)}^{\left(x - 1\right)}}\]

  6. Final simplification0.0

    \[\leadsto {\left(e^{1 + x}\right)}^{\left(x - 1\right)}\]

Reproduce

herbie shell --seed 2019139 
(FPCore (x)
  :name "exp neg sub"
  (exp (- (- 1 (* x x)))))