Average Error: 0.0 → 0.0
Time: 3.8s
Precision: 64
\[\left(0.5 \cdot \sin re\right) \cdot \left(e^{0.0 - im} + e^{im}\right)\]
↓
\[\left(0.5 \cdot \sin re\right) \cdot \left(e^{0.0 - im} + e^{im}\right)\]
\left(0.5 \cdot \sin re\right) \cdot \left(e^{0.0 - im} + e^{im}\right)
↓
\left(0.5 \cdot \sin re\right) \cdot \left(e^{0.0 - im} + e^{im}\right)
double f(double re, double im) {
        double r16879 = 0.5;
        double r16880 = re;
        double r16881 = sin(r16880);
        double r16882 = r16879 * r16881;
        double r16883 = 0.0;
        double r16884 = im;
        double r16885 = r16883 - r16884;
        double r16886 = exp(r16885);
        double r16887 = exp(r16884);
        double r16888 = r16886 + r16887;
        double r16889 = r16882 * r16888;
        return r16889;
}
↓
double f(double re, double im) {
        double r16890 = 0.5;
        double r16891 = re;
        double r16892 = sin(r16891);
        double r16893 = r16890 * r16892;
        double r16894 = 0.0;
        double r16895 = im;
        double r16896 = r16894 - r16895;
        double r16897 = exp(r16896);
        double r16898 = exp(r16895);
        double r16899 = r16897 + r16898;
        double r16900 = r16893 * r16899;
        return r16900;
}

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

    \[\left(0.5 \cdot \sin re\right) \cdot \left(e^{0.0 - im} + e^{im}\right)\]

  2. Final simplification0.0

    \[\leadsto \left(0.5 \cdot \sin re\right) \cdot \left(e^{0.0 - im} + e^{im}\right)\]

Reproduce

herbie shell --seed 2020059 
(FPCore (re im)
  :name "math.sin on complex, real part"
  :precision binary64
  (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))