Average Error: 0.0 → 0.0
Time: 12.4s
Precision: 64
\[e^{re} \cdot \cos im\]
↓
\[e^{re} \cdot \cos im\]
e^{re} \cdot \cos im
↓
e^{re} \cdot \cos im
double f(double re, double im) {
        double r31077 = re;
        double r31078 = exp(r31077);
        double r31079 = im;
        double r31080 = cos(r31079);
        double r31081 = r31078 * r31080;
        return r31081;
}
↓
double f(double re, double im) {
        double r31082 = re;
        double r31083 = exp(r31082);
        double r31084 = im;
        double r31085 = cos(r31084);
        double r31086 = r31083 * r31085;
        return r31086;
}

Error

Bits error versus re

Bits error versus im

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[e^{re} \cdot \cos im\]

  2. Final simplification0.0

    \[\leadsto e^{re} \cdot \cos im\]

Reproduce

herbie shell --seed 2020045 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))