Average Error: 0.0 → 0.0
Time: 21.9s
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 r1326558 = re;
        double r1326559 = exp(r1326558);
        double r1326560 = im;
        double r1326561 = cos(r1326560);
        double r1326562 = r1326559 * r1326561;
        return r1326562;
}
↓
double f(double re, double im) {
        double r1326563 = im;
        double r1326564 = cos(r1326563);
        double r1326565 = re;
        double r1326566 = exp(r1326565);
        double r1326567 = r1326564 * r1326566;
        return r1326567;
}

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 2019151 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))