Average Error: 0.0 → 0.0
Time: 11.0s
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 r30356 = re;
        double r30357 = exp(r30356);
        double r30358 = im;
        double r30359 = cos(r30358);
        double r30360 = r30357 * r30359;
        return r30360;
}
↓
double f(double re, double im) {
        double r30361 = re;
        double r30362 = exp(r30361);
        double r30363 = im;
        double r30364 = cos(r30363);
        double r30365 = r30362 * r30364;
        return r30365;
}

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 2019306 
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))