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 r1478257 = re;
        double r1478258 = exp(r1478257);
        double r1478259 = im;
        double r1478260 = cos(r1478259);
        double r1478261 = r1478258 * r1478260;
        return r1478261;
}
↓
double f(double re, double im) {
        double r1478262 = im;
        double r1478263 = cos(r1478262);
        double r1478264 = re;
        double r1478265 = exp(r1478264);
        double r1478266 = r1478263 * r1478265;
        return r1478266;
}

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 2019149 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))