Average Error: 0.0 → 0.0
Time: 21.1s
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 r25869 = 0.5;
        double r25870 = re;
        double r25871 = sin(r25870);
        double r25872 = r25869 * r25871;
        double r25873 = 0.0;
        double r25874 = im;
        double r25875 = r25873 - r25874;
        double r25876 = exp(r25875);
        double r25877 = exp(r25874);
        double r25878 = r25876 + r25877;
        double r25879 = r25872 * r25878;
        return r25879;
}
↓
double f(double re, double im) {
        double r25880 = 0.5;
        double r25881 = re;
        double r25882 = sin(r25881);
        double r25883 = r25880 * r25882;
        double r25884 = 0.0;
        double r25885 = im;
        double r25886 = r25884 - r25885;
        double r25887 = exp(r25886);
        double r25888 = exp(r25885);
        double r25889 = r25887 + r25888;
        double r25890 = r25883 * r25889;
        return r25890;
}

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 2019174 
(FPCore (re im)
  :name "math.sin on complex, real part"
  (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))