Average Error: 0.0 → 0.0
Time: 21.2s
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 r2042062 = 0.5;
        double r2042063 = re;
        double r2042064 = cos(r2042063);
        double r2042065 = r2042062 * r2042064;
        double r2042066 = im;
        double r2042067 = -r2042066;
        double r2042068 = exp(r2042067);
        double r2042069 = exp(r2042066);
        double r2042070 = r2042068 + r2042069;
        double r2042071 = r2042065 * r2042070;
        return r2042071;
}
↓
double f(double re, double im) {
        double r2042072 = im;
        double r2042073 = exp(r2042072);
        double r2042074 = -r2042072;
        double r2042075 = exp(r2042074);
        double r2042076 = r2042073 + r2042075;
        double r2042077 = 0.5;
        double r2042078 = re;
        double r2042079 = cos(r2042078);
        double r2042080 = r2042077 * r2042079;
        double r2042081 = r2042076 * r2042080;
        return r2042081;
}

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 2019138 
(FPCore (re im)
  :name "math.cos on complex, real part"
  (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))