Average Error: 0.0 → 0.0
Time: 15.3s
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 r150886 = 0.5;
        double r150887 = re;
        double r150888 = sin(r150887);
        double r150889 = r150886 * r150888;
        double r150890 = 0.0;
        double r150891 = im;
        double r150892 = r150890 - r150891;
        double r150893 = exp(r150892);
        double r150894 = exp(r150891);
        double r150895 = r150893 + r150894;
        double r150896 = r150889 * r150895;
        return r150896;
}
↓
double f(double re, double im) {
        double r150897 = 0.5;
        double r150898 = re;
        double r150899 = sin(r150898);
        double r150900 = r150897 * r150899;
        double r150901 = im;
        double r150902 = -r150901;
        double r150903 = exp(r150902);
        double r150904 = exp(r150901);
        double r150905 = r150903 + r150904;
        double r150906 = r150900 * r150905;
        return r150906;
}

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 2019128 +o rules:numerics
(FPCore (re im)
  :name "math.sin on complex, real part"
  (* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im))))