Average Error: 0.0 → 0.0
Time: 5.8s
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 r54530 = re;
        double r54531 = exp(r54530);
        double r54532 = im;
        double r54533 = cos(r54532);
        double r54534 = r54531 * r54533;
        return r54534;
}
↓
double f(double re, double im) {
        double r54535 = re;
        double r54536 = exp(r54535);
        double r54537 = im;
        double r54538 = cos(r54537);
        double r54539 = r54536 * r54538;
        return r54539;
}

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 2020047 
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))