Average Error: 0.0 → 0.0
Time: 8.5s
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 r41523 = 0.5;
        double r41524 = re;
        double r41525 = sin(r41524);
        double r41526 = r41523 * r41525;
        double r41527 = 0.0;
        double r41528 = im;
        double r41529 = r41527 - r41528;
        double r41530 = exp(r41529);
        double r41531 = exp(r41528);
        double r41532 = r41530 + r41531;
        double r41533 = r41526 * r41532;
        return r41533;
}
↓
double f(double re, double im) {
        double r41534 = 0.5;
        double r41535 = re;
        double r41536 = sin(r41535);
        double r41537 = r41534 * r41536;
        double r41538 = 0.0;
        double r41539 = im;
        double r41540 = r41538 - r41539;
        double r41541 = exp(r41540);
        double r41542 = exp(r41539);
        double r41543 = r41541 + r41542;
        double r41544 = r41537 * r41543;
        return r41544;
}

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 2020049 
(FPCore (re im)
  :name "math.sin on complex, real part"
  :precision binary64
  (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))