Average Error: 0.0 → 0.0
Time: 24.8s
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 r1368239 = re;
        double r1368240 = exp(r1368239);
        double r1368241 = im;
        double r1368242 = cos(r1368241);
        double r1368243 = r1368240 * r1368242;
        return r1368243;
}
↓
double f(double re, double im) {
        double r1368244 = im;
        double r1368245 = cos(r1368244);
        double r1368246 = re;
        double r1368247 = exp(r1368246);
        double r1368248 = r1368245 * r1368247;
        return r1368248;
}

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 2019168 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))