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 r280 = re;
        double r281 = exp(r280);
        double r282 = im;
        double r283 = cos(r282);
        double r284 = r281 * r283;
        return r284;
}

↓

double f(double re, double im) {
        double r285 = re;
        double r286 = exp(r285);
        double r287 = im;
        double r288 = cos(r287);
        double r289 = r286 * r288;
        return r289;
}

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 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))