Average Error: 0.0 → 0.0
Time: 18.2s
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 r300839 = 0.5;
        double r300840 = re;
        double r300841 = sin(r300840);
        double r300842 = r300839 * r300841;
        double r300843 = 0.0;
        double r300844 = im;
        double r300845 = r300843 - r300844;
        double r300846 = exp(r300845);
        double r300847 = exp(r300844);
        double r300848 = r300846 + r300847;
        double r300849 = r300842 * r300848;
        return r300849;
}
↓
double f(double re, double im) {
        double r300850 = 0.5;
        double r300851 = re;
        double r300852 = sin(r300851);
        double r300853 = r300850 * r300852;
        double r300854 = im;
        double r300855 = -r300854;
        double r300856 = exp(r300855);
        double r300857 = exp(r300854);
        double r300858 = r300856 + r300857;
        double r300859 = r300853 * r300858;
        return r300859;
}

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 +o rules:numerics
(FPCore (re im)
  :name "math.sin on complex, real part"
  (* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im))))