Average Error: 0.0 → 0.0
Time: 23.8s
Precision: 64
\[\left(0.5 \cdot \cos re\right) \cdot \left(e^{-im} + e^{im}\right)\]
↓
\[\left(0.5 \cdot \cos re\right) \cdot \left(e^{-im} + e^{im}\right)\]
\left(0.5 \cdot \cos re\right) \cdot \left(e^{-im} + e^{im}\right)
↓
\left(0.5 \cdot \cos re\right) \cdot \left(e^{-im} + e^{im}\right)
double f(double re, double im) {
        double r89003 = 0.5;
        double r89004 = re;
        double r89005 = cos(r89004);
        double r89006 = r89003 * r89005;
        double r89007 = im;
        double r89008 = -r89007;
        double r89009 = exp(r89008);
        double r89010 = exp(r89007);
        double r89011 = r89009 + r89010;
        double r89012 = r89006 * r89011;
        return r89012;
}
↓
double f(double re, double im) {
        double r89013 = 0.5;
        double r89014 = re;
        double r89015 = cos(r89014);
        double r89016 = r89013 * r89015;
        double r89017 = im;
        double r89018 = -r89017;
        double r89019 = exp(r89018);
        double r89020 = exp(r89017);
        double r89021 = r89019 + r89020;
        double r89022 = r89016 * r89021;
        return r89022;
}

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

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

Reproduce

herbie shell --seed 2019199 
(FPCore (re im)
  :name "math.cos on complex, real part"
  (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))