Average Error: 0.0 → 0.0
Time: 19.4s
Precision: 64
\[\left(0.5 \cdot \sin re\right) \cdot \left(e^{0 - im} + e^{im}\right)\]
↓
\[\left(0.5 \cdot \sin re\right) \cdot \left(e^{-im} + e^{im}\right)\]
\left(0.5 \cdot \sin re\right) \cdot \left(e^{0 - im} + e^{im}\right)
↓
\left(0.5 \cdot \sin re\right) \cdot \left(e^{-im} + e^{im}\right)
double f(double re, double im) {
        double r353879 = 0.5;
        double r353880 = re;
        double r353881 = sin(r353880);
        double r353882 = r353879 * r353881;
        double r353883 = 0.0;
        double r353884 = im;
        double r353885 = r353883 - r353884;
        double r353886 = exp(r353885);
        double r353887 = exp(r353884);
        double r353888 = r353886 + r353887;
        double r353889 = r353882 * r353888;
        return r353889;
}
↓
double f(double re, double im) {
        double r353890 = 0.5;
        double r353891 = re;
        double r353892 = sin(r353891);
        double r353893 = r353890 * r353892;
        double r353894 = im;
        double r353895 = -r353894;
        double r353896 = exp(r353895);
        double r353897 = exp(r353894);
        double r353898 = r353896 + r353897;
        double r353899 = r353893 * r353898;
        return r353899;
}

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

    \[\left(0.5 \cdot \sin re\right) \cdot \left(e^{0 - im} + e^{im}\right)\]

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2019153 
(FPCore (re im)
  :name "math.sin on complex, real part"
  (* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im))))