Average Error: 0.0 → 0.0
Time: 12.2s
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 r1183013 = re;
        double r1183014 = exp(r1183013);
        double r1183015 = im;
        double r1183016 = cos(r1183015);
        double r1183017 = r1183014 * r1183016;
        return r1183017;
}
↓
double f(double re, double im) {
        double r1183018 = im;
        double r1183019 = cos(r1183018);
        double r1183020 = re;
        double r1183021 = exp(r1183020);
        double r1183022 = r1183019 * r1183021;
        return r1183022;
}

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 2019143 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))