Average Error: 0.0 → 0.0
Time: 9.4s
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 r1832714 = re;
        double r1832715 = exp(r1832714);
        double r1832716 = im;
        double r1832717 = cos(r1832716);
        double r1832718 = r1832715 * r1832717;
        return r1832718;
}
↓
double f(double re, double im) {
        double r1832719 = im;
        double r1832720 = cos(r1832719);
        double r1832721 = re;
        double r1832722 = exp(r1832721);
        double r1832723 = r1832720 * r1832722;
        return r1832723;
}

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 2019168 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))