Average Error: 0.0 → 0.0

Time: 3.0s

Precision: 64

\[e^{re} \cdot \cos im\]

↓

\[e^{re} \cdot \cos im\]

e^{re} \cdot \cos im

↓

e^{re} \cdot \cos im

double f(double re, double im) {
        double r230 = re;
        double r231 = exp(r230);
        double r232 = im;
        double r233 = cos(r232);
        double r234 = r231 * r233;
        return r234;
}

↓

double f(double re, double im) {
        double r235 = re;
        double r236 = exp(r235);
        double r237 = im;
        double r238 = cos(r237);
        double r239 = r236 * r238;
        return r239;
}

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
\[\leadsto e^{re} \cdot \cos im\]

Reproduce

herbie shell --seed 2020025 
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))