Average Error: 0.0 → 0.0
Time: 7.4s
Precision: 64
\[e^{re} \cdot \cos im\]
↓
\[\cos im \cdot e^{re}\]
e^{re} \cdot \cos im
↓
\cos im \cdot e^{re}
double f(double re, double im) {
        double r1095018 = re;
        double r1095019 = exp(r1095018);
        double r1095020 = im;
        double r1095021 = cos(r1095020);
        double r1095022 = r1095019 * r1095021;
        return r1095022;
}
↓
double f(double re, double im) {
        double r1095023 = im;
        double r1095024 = cos(r1095023);
        double r1095025 = re;
        double r1095026 = exp(r1095025);
        double r1095027 = r1095024 * r1095026;
        return r1095027;
}

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

    \[\leadsto \cos im \cdot e^{re}\]

Reproduce

herbie shell --seed 2019107 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))