Average Error: 0.0 → 0.0
Time: 11.9s
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 r32302 = re;
        double r32303 = exp(r32302);
        double r32304 = im;
        double r32305 = cos(r32304);
        double r32306 = r32303 * r32305;
        return r32306;
}
↓
double f(double re, double im) {
        double r32307 = re;
        double r32308 = exp(r32307);
        double r32309 = im;
        double r32310 = cos(r32309);
        double r32311 = r32308 * r32310;
        return r32311;
}

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 2019351 
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))