Average Error: 0.0 → 0.0
Time: 3.2s
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 r1410473 = re;
        double r1410474 = exp(r1410473);
        double r1410475 = im;
        double r1410476 = cos(r1410475);
        double r1410477 = r1410474 * r1410476;
        return r1410477;
}
↓
double f(double re, double im) {
        double r1410478 = im;
        double r1410479 = cos(r1410478);
        double r1410480 = re;
        double r1410481 = exp(r1410480);
        double r1410482 = r1410479 * r1410481;
        return r1410482;
}

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 2019179 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))