Average Error: 0.0 → 0.0
Time: 12.3s
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 r1188483 = re;
        double r1188484 = exp(r1188483);
        double r1188485 = im;
        double r1188486 = cos(r1188485);
        double r1188487 = r1188484 * r1188486;
        return r1188487;
}
↓
double f(double re, double im) {
        double r1188488 = im;
        double r1188489 = cos(r1188488);
        double r1188490 = re;
        double r1188491 = exp(r1188490);
        double r1188492 = r1188489 * r1188491;
        return r1188492;
}

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 2019152 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))