Average Error: 0.0 → 0.0
Time: 1.1s
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 r141 = 1.0;
        double r142 = x;
        double r143 = r142 * r142;
        double r144 = r141 - r143;
        double r145 = -r144;
        double r146 = exp(r145);
        return r146;
}
↓
double f(double x) {
        double r147 = 1.0;
        double r148 = x;
        double r149 = r148 * r148;
        double r150 = r147 - r149;
        double r151 = -r150;
        double r152 = exp(r151);
        return r152;
}

Error

Bits error versus x

Try it out

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2020025 
(FPCore (x)
  :name "exp neg sub"
  :precision binary64
  (exp (- (- 1 (* x x)))))