Average Error: 0.0 → 0.0
Time: 2.0s
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 r32117 = re;
        double r32118 = exp(r32117);
        double r32119 = im;
        double r32120 = cos(r32119);
        double r32121 = r32118 * r32120;
        return r32121;
}
↓
double f(double re, double im) {
        double r32122 = re;
        double r32123 = exp(r32122);
        double r32124 = im;
        double r32125 = cos(r32124);
        double r32126 = r32123 * r32125;
        return r32126;
}

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 2019362 
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))