Average Error: 0.0 → 0.0
Time: 18.6s
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 r2010969 = re;
        double r2010970 = exp(r2010969);
        double r2010971 = im;
        double r2010972 = cos(r2010971);
        double r2010973 = r2010970 * r2010972;
        return r2010973;
}
↓
double f(double re, double im) {
        double r2010974 = im;
        double r2010975 = cos(r2010974);
        double r2010976 = re;
        double r2010977 = exp(r2010976);
        double r2010978 = r2010975 * r2010977;
        return r2010978;
}

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 2019170 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))