Average Error: 0.0 → 0.0
Time: 9.1s
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 r1554127 = re;
        double r1554128 = exp(r1554127);
        double r1554129 = im;
        double r1554130 = cos(r1554129);
        double r1554131 = r1554128 * r1554130;
        return r1554131;
}
↓
double f(double re, double im) {
        double r1554132 = im;
        double r1554133 = cos(r1554132);
        double r1554134 = re;
        double r1554135 = exp(r1554134);
        double r1554136 = r1554133 * r1554135;
        return r1554136;
}

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 2019163 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))