Average Error: 0.0 → 0.0

Time: 7.3s

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 r36453 = re;
        double r36454 = exp(r36453);
        double r36455 = im;
        double r36456 = cos(r36455);
        double r36457 = r36454 * r36456;
        return r36457;
}

↓

double f(double re, double im) {
        double r36458 = im;
        double r36459 = cos(r36458);
        double r36460 = re;
        double r36461 = exp(r36460);
        double r36462 = r36459 * r36461;
        return r36462;
}

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 2019195 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))