Average Error: 0.0 → 0.0
Time: 8.1s
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 r40436 = re;
        double r40437 = exp(r40436);
        double r40438 = im;
        double r40439 = cos(r40438);
        double r40440 = r40437 * r40439;
        return r40440;
}
↓
double f(double re, double im) {
        double r40441 = re;
        double r40442 = exp(r40441);
        double r40443 = im;
        double r40444 = cos(r40443);
        double r40445 = r40442 * r40444;
        return r40445;
}

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 2019198 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))