Average Error: 0.0 → 0.0
Time: 13.0s
Precision: 64
\[e^{-\left(1 - x \cdot x\right)}\]
↓
\[\frac{1}{e^{1 - x \cdot x}}\]
e^{-\left(1 - x \cdot x\right)}
↓
\frac{1}{e^{1 - x \cdot x}}
double f(double x) {
        double r1265177 = 1.0;
        double r1265178 = x;
        double r1265179 = r1265178 * r1265178;
        double r1265180 = r1265177 - r1265179;
        double r1265181 = -r1265180;
        double r1265182 = exp(r1265181);
        return r1265182;
}
↓
double f(double x) {
        double r1265183 = 1.0;
        double r1265184 = x;
        double r1265185 = r1265184 * r1265184;
        double r1265186 = r1265183 - r1265185;
        double r1265187 = exp(r1265186);
        double r1265188 = r1265183 / r1265187;
        return r1265188;
}

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. Using strategy rm

  3. Applied neg-sub00.0

    \[\leadsto e^{\color{blue}{0 - \left(1 - x \cdot x\right)}}\]

  4. Applied exp-diff0.0

    \[\leadsto \color{blue}{\frac{e^{0}}{e^{1 - x \cdot x}}}\]

  5. Simplified0.0

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

  6. Final simplification0.0

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

Reproduce

herbie shell --seed 2019144 
(FPCore (x)
  :name "exp neg sub"
  (exp (- (- 1 (* x x)))))