Average Error: 0.0 → 0.0
Time: 12.0s
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 r25651 = re;
        double r25652 = exp(r25651);
        double r25653 = im;
        double r25654 = cos(r25653);
        double r25655 = r25652 * r25654;
        return r25655;
}
↓
double f(double re, double im) {
        double r25656 = re;
        double r25657 = exp(r25656);
        double r25658 = im;
        double r25659 = cos(r25658);
        double r25660 = r25657 * r25659;
        return r25660;
}

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 2019304 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))