Average Error: 0.0 → 0.0
Time: 3.1s
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 r18584 = 0.5;
        double r18585 = re;
        double r18586 = sin(r18585);
        double r18587 = r18584 * r18586;
        double r18588 = 0.0;
        double r18589 = im;
        double r18590 = r18588 - r18589;
        double r18591 = exp(r18590);
        double r18592 = exp(r18589);
        double r18593 = r18591 + r18592;
        double r18594 = r18587 * r18593;
        return r18594;
}
↓
double f(double re, double im) {
        double r18595 = 0.5;
        double r18596 = re;
        double r18597 = sin(r18596);
        double r18598 = r18595 * r18597;
        double r18599 = 0.0;
        double r18600 = im;
        double r18601 = r18599 - r18600;
        double r18602 = exp(r18601);
        double r18603 = exp(r18600);
        double r18604 = r18602 + r18603;
        double r18605 = r18598 * r18604;
        return r18605;
}

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 2019353 
(FPCore (re im)
  :name "math.sin on complex, real part"
  :precision binary64
  (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))