Average Error: 0.0 → 0.0
Time: 8.1s
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 r29742 = 0.5;
        double r29743 = re;
        double r29744 = sin(r29743);
        double r29745 = r29742 * r29744;
        double r29746 = 0.0;
        double r29747 = im;
        double r29748 = r29746 - r29747;
        double r29749 = exp(r29748);
        double r29750 = exp(r29747);
        double r29751 = r29749 + r29750;
        double r29752 = r29745 * r29751;
        return r29752;
}
↓
double f(double re, double im) {
        double r29753 = 0.5;
        double r29754 = re;
        double r29755 = sin(r29754);
        double r29756 = r29753 * r29755;
        double r29757 = 0.0;
        double r29758 = im;
        double r29759 = r29757 - r29758;
        double r29760 = exp(r29759);
        double r29761 = exp(r29758);
        double r29762 = r29760 + r29761;
        double r29763 = r29756 * r29762;
        return r29763;
}

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 2020089 
(FPCore (re im)
  :name "math.sin on complex, real part"
  :precision binary64
  (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))