Average Error: 0.0 → 0.0
Time: 11.7s
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 r1458029 = re;
        double r1458030 = exp(r1458029);
        double r1458031 = im;
        double r1458032 = cos(r1458031);
        double r1458033 = r1458030 * r1458032;
        return r1458033;
}
↓
double f(double re, double im) {
        double r1458034 = im;
        double r1458035 = cos(r1458034);
        double r1458036 = re;
        double r1458037 = exp(r1458036);
        double r1458038 = r1458035 * r1458037;
        return r1458038;
}

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