Average Error: 0.0 → 0.0
Time: 14.7s
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 r2008125 = re;
        double r2008126 = exp(r2008125);
        double r2008127 = im;
        double r2008128 = cos(r2008127);
        double r2008129 = r2008126 * r2008128;
        return r2008129;
}
↓
double f(double re, double im) {
        double r2008130 = im;
        double r2008131 = cos(r2008130);
        double r2008132 = re;
        double r2008133 = exp(r2008132);
        double r2008134 = r2008131 * r2008133;
        return r2008134;
}

Error

Bits error versus re

Bits error versus im

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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 2019137 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))