Average Error: 0.0 → 0.0
Time: 2.5s
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 r1449201 = re;
        double r1449202 = exp(r1449201);
        double r1449203 = im;
        double r1449204 = cos(r1449203);
        double r1449205 = r1449202 * r1449204;
        return r1449205;
}
↓
double f(double re, double im) {
        double r1449206 = im;
        double r1449207 = cos(r1449206);
        double r1449208 = re;
        double r1449209 = exp(r1449208);
        double r1449210 = r1449207 * r1449209;
        return r1449210;
}

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 2019162 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))