Average Error: 0.0 → 0.0

Time: 2.9s

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 r39159 = re;
        double r39160 = exp(r39159);
        double r39161 = im;
        double r39162 = cos(r39161);
        double r39163 = r39160 * r39162;
        return r39163;
}

↓

double f(double re, double im) {
        double r39164 = im;
        double r39165 = cos(r39164);
        double r39166 = re;
        double r39167 = exp(r39166);
        double r39168 = r39165 * r39167;
        return r39168;
}

Error

The X axis uses an exponential scale — Bits error versus `re`

Try it out

In
Out

Enter valid numbers for all inputs

Derivation

Initial program 0.0
\[e^{re} \cdot \cos im\]
Final simplification0.0
\[\leadsto \cos im \cdot e^{re}\]

Reproduce

herbie shell --seed 2019179 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))