Average Error: 0.0 → 0.0
Time: 19.5s
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 r2218038 = re;
        double r2218039 = exp(r2218038);
        double r2218040 = im;
        double r2218041 = cos(r2218040);
        double r2218042 = r2218039 * r2218041;
        return r2218042;
}
↓
double f(double re, double im) {
        double r2218043 = im;
        double r2218044 = cos(r2218043);
        double r2218045 = re;
        double r2218046 = exp(r2218045);
        double r2218047 = r2218044 * r2218046;
        return r2218047;
}

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 2019169 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))