Average Error: 0.0 → 0.0
Time: 10.5s
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 r1482109 = re;
        double r1482110 = exp(r1482109);
        double r1482111 = im;
        double r1482112 = cos(r1482111);
        double r1482113 = r1482110 * r1482112;
        return r1482113;
}
↓
double f(double re, double im) {
        double r1482114 = im;
        double r1482115 = cos(r1482114);
        double r1482116 = re;
        double r1482117 = exp(r1482116);
        double r1482118 = r1482115 * r1482117;
        return r1482118;
}

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 2019121 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))