Average Error: 0.0 → 0.0
Time: 5.9s
Precision: 64
\[e^{re} \cdot \cos im\]
↓
\[e^{re} \cdot \cos im\]
e^{re} \cdot \cos im
↓
e^{re} \cdot \cos im
double f(double re, double im) {
        double r39012 = re;
        double r39013 = exp(r39012);
        double r39014 = im;
        double r39015 = cos(r39014);
        double r39016 = r39013 * r39015;
        return r39016;
}
↓
double f(double re, double im) {
        double r39017 = re;
        double r39018 = exp(r39017);
        double r39019 = im;
        double r39020 = cos(r39019);
        double r39021 = r39018 * r39020;
        return r39021;
}

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

    \[\leadsto e^{re} \cdot \cos im\]

Reproduce

herbie shell --seed 2020047 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))