Average Error: 0.0 → 0.0
Time: 2.7s
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 r1352546 = re;
        double r1352547 = exp(r1352546);
        double r1352548 = im;
        double r1352549 = cos(r1352548);
        double r1352550 = r1352547 * r1352549;
        return r1352550;
}
↓
double f(double re, double im) {
        double r1352551 = im;
        double r1352552 = cos(r1352551);
        double r1352553 = re;
        double r1352554 = exp(r1352553);
        double r1352555 = r1352552 * r1352554;
        return r1352555;
}

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 2019171 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))