Average Error: 0.0 → 0.0
Time: 5.4s
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 r1484482 = re;
        double r1484483 = exp(r1484482);
        double r1484484 = im;
        double r1484485 = cos(r1484484);
        double r1484486 = r1484483 * r1484485;
        return r1484486;
}
↓
double f(double re, double im) {
        double r1484487 = im;
        double r1484488 = cos(r1484487);
        double r1484489 = re;
        double r1484490 = exp(r1484489);
        double r1484491 = r1484488 * r1484490;
        return r1484491;
}

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 2019165 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))