Average Error: 0.0 → 0.0
Time: 9.4s
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 r25779 = re;
        double r25780 = exp(r25779);
        double r25781 = im;
        double r25782 = cos(r25781);
        double r25783 = r25780 * r25782;
        return r25783;
}
↓
double f(double re, double im) {
        double r25784 = re;
        double r25785 = exp(r25784);
        double r25786 = im;
        double r25787 = cos(r25786);
        double r25788 = r25785 * r25787;
        return r25788;
}

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 2019195 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))