Average Error: 0.0 → 0.0
Time: 20.2s
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 r3131142 = re;
        double r3131143 = exp(r3131142);
        double r3131144 = im;
        double r3131145 = cos(r3131144);
        double r3131146 = r3131143 * r3131145;
        return r3131146;
}
↓
double f(double re, double im) {
        double r3131147 = im;
        double r3131148 = cos(r3131147);
        double r3131149 = re;
        double r3131150 = exp(r3131149);
        double r3131151 = r3131148 * r3131150;
        return r3131151;
}

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 2019138 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))