Average Error: 0.0 → 0.0
Time: 17.0s
Precision: 64
\[\left(0.5 \cdot \cos re\right) \cdot \left(e^{-im} + e^{im}\right)\]
↓
\[\left(e^{im} + e^{-im}\right) \cdot \left(0.5 \cdot \cos re\right)\]
\left(0.5 \cdot \cos re\right) \cdot \left(e^{-im} + e^{im}\right)
↓
\left(e^{im} + e^{-im}\right) \cdot \left(0.5 \cdot \cos re\right)
double f(double re, double im) {
        double r2405990 = 0.5;
        double r2405991 = re;
        double r2405992 = cos(r2405991);
        double r2405993 = r2405990 * r2405992;
        double r2405994 = im;
        double r2405995 = -r2405994;
        double r2405996 = exp(r2405995);
        double r2405997 = exp(r2405994);
        double r2405998 = r2405996 + r2405997;
        double r2405999 = r2405993 * r2405998;
        return r2405999;
}
↓
double f(double re, double im) {
        double r2406000 = im;
        double r2406001 = exp(r2406000);
        double r2406002 = -r2406000;
        double r2406003 = exp(r2406002);
        double r2406004 = r2406001 + r2406003;
        double r2406005 = 0.5;
        double r2406006 = re;
        double r2406007 = cos(r2406006);
        double r2406008 = r2406005 * r2406007;
        double r2406009 = r2406004 * r2406008;
        return r2406009;
}

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

    \[\left(0.5 \cdot \cos re\right) \cdot \left(e^{-im} + e^{im}\right)\]

  2. Final simplification0.0

    \[\leadsto \left(e^{im} + e^{-im}\right) \cdot \left(0.5 \cdot \cos re\right)\]

Reproduce

herbie shell --seed 2019163 
(FPCore (re im)
  :name "math.cos on complex, real part"
  (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))