Average Error: 0.0 → 0.0
Time: 4.3s
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 r1389060 = re;
        double r1389061 = exp(r1389060);
        double r1389062 = im;
        double r1389063 = cos(r1389062);
        double r1389064 = r1389061 * r1389063;
        return r1389064;
}
↓
double f(double re, double im) {
        double r1389065 = im;
        double r1389066 = cos(r1389065);
        double r1389067 = re;
        double r1389068 = exp(r1389067);
        double r1389069 = r1389066 * r1389068;
        return r1389069;
}

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 2019104 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))