Average Error: 0.0 → 0.0
Time: 10.4s
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 r21948 = 1.0;
        double r21949 = x;
        double r21950 = r21949 * r21949;
        double r21951 = r21948 - r21950;
        double r21952 = -r21951;
        double r21953 = exp(r21952);
        return r21953;
}
↓
double f(double x) {
        double r21954 = 1.0;
        double r21955 = x;
        double r21956 = r21955 * r21955;
        double r21957 = r21954 - r21956;
        double r21958 = -r21957;
        double r21959 = exp(r21958);
        return r21959;
}

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 2019305 +o rules:numerics
(FPCore (x)
  :name "exp neg sub"
  :precision binary64
  (exp (- (- 1 (* x x)))))