Average Error: 0.0 → 0.0
Time: 2.7s
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 r63307 = re;
        double r63308 = exp(r63307);
        double r63309 = im;
        double r63310 = cos(r63309);
        double r63311 = r63308 * r63310;
        return r63311;
}
↓
double f(double re, double im) {
        double r63312 = re;
        double r63313 = exp(r63312);
        double r63314 = im;
        double r63315 = cos(r63314);
        double r63316 = r63313 * r63315;
        return r63316;
}

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 2020056 
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))