Average Error: 0.0 → 0.0
Time: 9.0s
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 r1022114 = re;
        double r1022115 = exp(r1022114);
        double r1022116 = im;
        double r1022117 = cos(r1022116);
        double r1022118 = r1022115 * r1022117;
        return r1022118;
}
↓
double f(double re, double im) {
        double r1022119 = im;
        double r1022120 = cos(r1022119);
        double r1022121 = re;
        double r1022122 = exp(r1022121);
        double r1022123 = r1022120 * r1022122;
        return r1022123;
}

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 2019132 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))