Average Error: 0.0 → 0.0
Time: 13.5s
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 r83837 = 0.5;
        double r83838 = re;
        double r83839 = sin(r83838);
        double r83840 = r83837 * r83839;
        double r83841 = 0.0;
        double r83842 = im;
        double r83843 = r83841 - r83842;
        double r83844 = exp(r83843);
        double r83845 = exp(r83842);
        double r83846 = r83844 + r83845;
        double r83847 = r83840 * r83846;
        return r83847;
}
↓
double f(double re, double im) {
        double r83848 = 0.5;
        double r83849 = re;
        double r83850 = sin(r83849);
        double r83851 = r83848 * r83850;
        double r83852 = 0.0;
        double r83853 = im;
        double r83854 = r83852 - r83853;
        double r83855 = exp(r83854);
        double r83856 = exp(r83853);
        double r83857 = r83855 + r83856;
        double r83858 = r83851 * r83857;
        return r83858;
}

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 2019351 
(FPCore (re im)
  :name "math.sin on complex, real part"
  :precision binary64
  (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))