Average Error: 0.0 → 0.0
Time: 22.9s
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 r16423 = 0.5;
        double r16424 = re;
        double r16425 = sin(r16424);
        double r16426 = r16423 * r16425;
        double r16427 = 0.0;
        double r16428 = im;
        double r16429 = r16427 - r16428;
        double r16430 = exp(r16429);
        double r16431 = exp(r16428);
        double r16432 = r16430 + r16431;
        double r16433 = r16426 * r16432;
        return r16433;
}
↓
double f(double re, double im) {
        double r16434 = 0.5;
        double r16435 = re;
        double r16436 = sin(r16435);
        double r16437 = r16434 * r16436;
        double r16438 = 0.0;
        double r16439 = im;
        double r16440 = r16438 - r16439;
        double r16441 = exp(r16440);
        double r16442 = exp(r16439);
        double r16443 = r16441 + r16442;
        double r16444 = r16437 * r16443;
        return r16444;
}

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 2019306 
(FPCore (re im)
  :name "math.sin on complex, real part"
  :precision binary64
  (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))